<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing DTD v2.3 20070202//EN" "journalpublishing.dtd">
<article article-type="review-article" dtd-version="2.3" xml:lang="EN" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">
<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Food. Sci. Technol.</journal-id>
<journal-title>Frontiers in Food Science and Technology</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Food. Sci. Technol.</abbrev-journal-title>
<issn pub-type="epub">2674-1121</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1203544</article-id>
<article-id pub-id-type="doi">10.3389/frfst.2023.1203544</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Food Science and Technology</subject>
<subj-group>
<subject>Mini Review</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Virtualization of foods: applications and perspectives toward optimizing food systems</article-title>
<alt-title alt-title-type="left-running-head">Chen et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/frfst.2023.1203544">10.3389/frfst.2023.1203544</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Chen</surname>
<given-names>Chang</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2137230/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Homez-Jara</surname>
<given-names>Angie</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2158758/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Corradini</surname>
<given-names>Maria G.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1148231/overview"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Department of Food Science</institution>, <institution>University of Guelph</institution>, <addr-line>Guelph</addr-line>, <addr-line>ON</addr-line>, <country>Canada</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Arrell Food Institute</institution>, <institution>University of Guelph</institution>, <addr-line>Guelph</addr-line>, <addr-line>ON</addr-line>, <country>Canada</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1492402/overview">Fanbin Kong</ext-link>, University of Georgia, United States</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1618855/overview">Francesco Marra</ext-link>, University of Salerno, Italy</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Maria G. Corradini, <email>mcorradi@uoguelph.ca</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>13</day>
<month>07</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>3</volume>
<elocation-id>1203544</elocation-id>
<history>
<date date-type="received">
<day>10</day>
<month>04</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>06</day>
<month>07</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Chen, Homez-Jara and Corradini.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Chen, Homez-Jara and Corradini</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>Food production cannot be decoupled from human and planetary wellbeing. Meeting safety, nutritional, sensorial, and even price requirements entails applying an integral view of food products and their manufacturing and distribution processes. Virtualization of food commodities and products, i.e., their digital representation, offers opportunities to study, simulate, and predict the contributions of internal (e.g., composition and structure) and external factors (e.g., processing conditions) to food quality, safety, stability, and sustainability. Building virtual versions of foods requires a holistic supporting framework composed of instrumental and computational techniques. The development of virtual foods has been bolstered by advanced tools for collecting data, informing and validating modelling, e.g., micro-computed tomography, to accurately assess native food structures, multi-omics approaches, to acquire vast information on composition and biochemical processes, and nondestructive and real-time sensing, to facilitate mapping and tracking changes in food quality and safety in real-world situations. Comprehensive modeling techniques (including heat and mass transfer, thermodynamics, kinetics) built upon physic laws provide the base for realistic simulations and predictions of food processes that a virtual food might undergo. Despite the potential gaps in knowledge, increasing the adoption of food virtualization (data-based, physics-based or hybrid) in manufacturing and food systems evaluation can facilitate the optimal use of resources, the rational design of functional characteristics, and even inform the customization of composition and structural components for better product development. This mini-review focuses on critical steps for developing and applying virtual foods, their future trends, and needs.</p>
</abstract>
<kwd-group>
<kwd>virtualization</kwd>
<kwd>multiscale modeling</kwd>
<kwd>optimization</kwd>
<kwd>food quality</kwd>
<kwd>food processing</kwd>
<kwd>shelf-life</kwd>
<kwd>food supply chain</kwd>
</kwd-group>
<contract-num rid="cn001">RGPIN-2019-04995</contract-num>
<contract-sponsor id="cn001">Natural Sciences and Engineering Research Council of Canada<named-content content-type="fundref-id">10.13039/501100000038</named-content>
</contract-sponsor>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Food Safety and Quality Control</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>Introduction</title>
<p>Efficient use and transformation of resources along the food supply chain are critical to achieving sustainability goals such as food security and waste reduction. To this end, food systems must be integrally conceptualized to acknowledge their dynamic nature, complex interactions, and transformations, and the effects of external factors on their safety, quality, stability, and even consumer acceptance (<xref ref-type="bibr" rid="B15">Erdogdu et al., 2017</xref>; <xref ref-type="bibr" rid="B66">Vitrac et al., 2021</xref>; <xref ref-type="bibr" rid="B30">Marra, 2022</xref>). Adopting advanced modeling, high-resolution, and real-time data acquisition techniques plays an important role in virtualizing, simulating, and predicting phenomena in foods so that such milestones can be achieved (<xref ref-type="bibr" rid="B50">Saguy, 2016</xref>; <xref ref-type="bibr" rid="B10">Datta et al., 2022</xref>).</p>
<p>Although the role of virtualization of the food supply chain as an improvement tool has been introduced for over 10&#xa0;years, its applications are still limited (<xref ref-type="bibr" rid="B29">Marra, 2016</xref>). &#x2018;Virtual foods&#x2019; or &#x2018;<italic>in silico</italic> foods&#x2019; can be defined as digital representations with the same characteristics (e.g., physical properties, chemical composition) as their real-life counterparts (<xref ref-type="bibr" rid="B65">Verdouw et al., 2016</xref>). They are digital twins constrained to the food product itself (<xref ref-type="bibr" rid="B64">Verboven et al., 2020</xref>). To be effective and useful, these digital twins of specific commodities or products should be built so that all physical principles, transport phenomena, and food reactions are applicable to them. As such, virtual foods should respond to simulated stimuli in &#x2018;virtual environments&#x2019; in ways that accurately mimic the behavior of their real-world versions. The &#x2018;virtual environments&#x2019; can be tuned to reflect relevant scenarios throughout the food supply chain to i) evaluate external effects on food structure, quality, and safety, ii) develop and optimize processes to attain high efficiency and sustainability (<xref ref-type="bibr" rid="B31">Marra, 2023</xref>), iii) predict the occurrence and impact of failure events during distribution and storage (<xref ref-type="bibr" rid="B42">Peleg et al., 2011</xref>); and iv) reduce the time-to-market of new products (<xref ref-type="bibr" rid="B50">Saguy, 2016</xref>; <xref ref-type="bibr" rid="B32">Mengucci et al., 2022</xref>). Building virtual foods is intricate since it relies on the availability of extensive databases of physical, structural, chemical, and biological attributes and a holistic supporting framework of advanced characterization, modeling, data processing, and management approaches (<xref ref-type="bibr" rid="B10">Datta et al., 2022</xref>). This mini-review aims to identify the critical components, summarize the available approaches, and discuss the challenges, needs, and future trends in developing and applying food product virtualization.</p>
</sec>
<sec id="s2">
<title>Building a virtual food</title>
<p>Food undergoes transformations from harvest to consumption (<xref ref-type="bibr" rid="B54">Singh and Corradini, 2023</xref>); some are intentional and rapid such as those imposed by processing, and others progressive and cumulative, such as the ones that ensue from a food&#x2019;s inherent deterioration processes. Regardless of their triggers, these transformations highly depend on a food&#x2019;s intrinsic properties, such as physical attributes, chemical composition, hierarchical organization of its structural components, and natural microbiota. External factors, such as temperature, humidity, atmosphere composition, and airflow (<xref ref-type="bibr" rid="B14">Duan et al., 2020</xref>), also influence the rate and extent of the transformations a food undergoes along the supply chain. Linking these factors coherently provides the foundation to build a virtual version of an actual product. Even if a physics-based digital twin is being built, it requires knowledge of actual food properties to assist in its development and validation (<xref ref-type="bibr" rid="B11">Datta, 2016</xref>; <xref ref-type="bibr" rid="B15">Erdogdu et al., 2017</xref>; <xref ref-type="bibr" rid="B16">Erdogdu, 2023</xref>). Thus, accurate and careful spatial and temporal mapping of food properties, components, structures, and surrounding factors is required to create a reliable avatar of a product. This thorough assessment will allow accounting for the effects of intrinsic and extrinsic factors and their dynamic nature on transport phenomena and reactions kinetics modeling. The following sections will briefly present techniques valuable to build upon information on intrinsic factors and modeling approaches, as seen in <xref ref-type="fig" rid="F1">Figure 1</xref>, and to incorporate this information into data-based, physics-based, or hybrid food models.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Contributions to the development of a virtual food and potential applications.</p>
</caption>
<graphic xlink:href="frfst-03-1203544-g001.tif"/>
</fig>
</sec>
<sec id="s3">
<title>Physical properties and structural features</title>
<p>Knowing the physical properties of food materials (e.g., density, size, shape, thermal properties) is one of the cornerstones of effectively simulating natural and manufacturing processes. Measuring techniques for these properties have been extensively documented (e.g., <xref ref-type="bibr" rid="B17">Figura and Teixeira, 2007</xref>). Although important progress has been achieved on every front, advances in size, shape, and structural determinations have probably benefited the most due to the advent of high-resolution image acquisition, analysis, and reconstruction. Hence, they will be primarily discussed in the following section.</p>
<sec id="s3-1">
<title>Data acquisition</title>
<p>Food (micro)structure is complex and heterogeneous. The irregular arrangement of different structural units, e.g., lignocellulosic backbones and protein networks, and component compartmentalization result in materials with irregular shapes and composition (<xref ref-type="bibr" rid="B45">Piovesan et al., 2021</xref>). Regarding size and shape, 3D laser scanning has been identified as an improved tool for collecting information to develop geometric models of foods with irregular shapes at high morphological resolution (<xref ref-type="bibr" rid="B70">Zhang et al., 2020</xref>). Similarly, over the past 20&#xa0;years, high-resolution techniques have improved the scouting of food microstructure (<xref ref-type="bibr" rid="B19">Gruyters et al., 2020</xref>). Microstructural features percolate into macroscopic properties, transport phenomena, and biochemical processes at different stages of a product&#x2019;s life (<xref ref-type="bibr" rid="B28">Mahiuddin et al., 2018</xref>). Therefore, accurate visualization and realistic representation of microstructural constituents are useful in developing or validating an <italic>in silico</italic> food. Several techniques traditionally used for medical applications, such as magnetic resonance imaging (MRI) and X-ray micro-computed tomography (X-ray &#x3bc;CT), have been consistently gaining popularity for the nondestructive and noninvasive assessment of food structure (<xref ref-type="bibr" rid="B26">Kirtil et al., 2017</xref>; <xref ref-type="bibr" rid="B63">Van Dael et al., 2019</xref>).</p>
<p>Based on the differences in components&#x2019; molecular mobility within a food matrix, MRI has been employed to characterize food structure and track moisture distribution and loss during processing (<xref ref-type="bibr" rid="B51">Schork et al., 2020</xref>). X-ray &#x3bc;CT has been applied to capture the 3D microstructure of various foods and track the deformation of, for example, porous networks&#x2019; specific surface area, size, and fragmentation during processing, including drying, cold storage, and ripening (<xref ref-type="bibr" rid="B2">Cantre et al., 2014</xref>; <xref ref-type="bibr" rid="B18">Gruber et al., 2021</xref>). Despite the efficacy of these techniques in characterizing microstructural features in solid foods, their application to liquid/semi-solid, soft materials (e.g., multiphase products such as weak gels, emulsions, froth, or frozen foams) still encounters several hurdles due to these materials&#x2019; optical opacity, low shear strength, and susceptibility to beam effects due to high energy synchrotronic radiation that can induce melting, deformation, and damages (<xref ref-type="bibr" rid="B33">Metilli et al., 2021</xref>). These limitations can be overcome by clever sample preparation (e.g., inclusion within sheltering structures), pre-tempering samples at freezing conditions (e.g., &#x2212;15&#xb0;C), or rapid data acquisition (<xref ref-type="bibr" rid="B20">Guo et al., 2017</xref>). However, alternative techniques should be applied to soft materials for proper characterization. It should also be noted that <italic>in-situ</italic> and real-time characterization of food structures during processing is still rare.</p>
</sec>
<sec id="s3-2">
<title>Data use</title>
<p>Food properties and quality attributes have been linked to features revealed from X-ray &#x3bc;CT images by complementing them with other measuring techniques and multivariate analysis. For example, internal defects, disorders, and injuries were detected in vegetables and fruits using this approach. Even the position- and porosity-dependent effective O<sub>2</sub> diffusivity have been accurately determined in this kind of product based on high-resolution images (<xref ref-type="bibr" rid="B5">Chigwaya et al., 2021</xref>; <xref ref-type="bibr" rid="B37">Nugraha et al., 2021</xref>).</p>
<p>Extensive research has been conducted on reconstructing food structures and modeling deformation using empirical and mechanistic-based approaches from high-resolution data. X-ray CT images have been used to rebuild food geometry at different levels of granularity, from a single corn kernel microstructure to bulk packing of pears in a box (<xref ref-type="bibr" rid="B58">Suresh and Neethirajan, 2015</xref>; <xref ref-type="bibr" rid="B65">Verdouw et al., 2016</xref>; <xref ref-type="bibr" rid="B19">Gruyters et al., 2020</xref>). The reconstructed geometric models can be implemented into computational fluid dynamics (CFD) and transport models to simulate, for example, the performance of cooling systems on a food&#x2019;s temperature during storage (<xref ref-type="bibr" rid="B69">Yin et al., 2022</xref>). Machine learning approaches (e.g., artificial&#x2013;ANN- and convolutional neural networks - CNN) have also been applied to rebuild structures from images (<xref ref-type="bibr" rid="B68">Wu et al., 2019</xref>; <xref ref-type="bibr" rid="B49">R&#xf6;ding et al., 2020</xref>).</p>
<p>Regarding modeling structural deformation during processing, <xref ref-type="bibr" rid="B28">Mahiuddin et al. (2018)</xref> provided a comparative analysis of mechanistic-based approaches to account for these changes. Proper material characterization allows the informed selection of a model for different foods (e.g., elastoplastic, linear-elastic, viscoelastic, or hyper-elastic), resulting in more realistic simulations. Novel hybrid models, as proposed by <xref ref-type="bibr" rid="B38">Pacheco-Aguirre et al. (2015)</xref>, who introduced a shrinkage-deformation algorithm to simulate size reduction, shape change, and microstructure deformation more realistically during drying and evaluate the effect of these changes on moisture diffusivity, will increasingly play a more important role in reproducing food structure more realistically and accurately simulating deformations in virtual foods.</p>
</sec>
</sec>
<sec id="s4">
<title>Food composition and microbiota</title>
<p>Foods have complex compositions, with specific compounds contributing to their nutritional, organoleptic, and quality attributes. Not only does chemical composition varies among food items, but it also changes throughout a food&#x2019;s production and shelf-life. A series of chemical and biochemical reactions, whose rates are dependent on external factors, progressively modify food composition (<xref ref-type="bibr" rid="B62">van Boekel, 2008</xref>). Additionally, foods are natural hosts of various microorganisms and are susceptible to spoilage by bacteria, yeasts, and fungi. The comprehensive study of food composition, reaction mechanisms, microbial-host interactions, and kinetics, thus, is essential for accurately simulating food quality changes and predicting the remaining shelf life in digital renderings of a food.</p>
<sec id="s4-1">
<title>Data acquisition</title>
<p>Similar to physical properties, there is no lack of methods to report on food composition accurately (<xref ref-type="bibr" rid="B35">Nielsen, 2017</xref>). However, the comprehensive assessment of major and minor food components requires innovative and multidisciplinary approaches to address the interconnected reactions occurring alongside food-related phenomena.</p>
<p>Nondestructive and real-time sensing based on spectroscopic techniques, e.g., machine vision and hyperspectral imaging (HSI) in several modes, allows the simultaneous and continuous acquisition of composition and spatial information. These spatially resolved spectra are fast and easy to acquire noninvasively and in-line, being capable of monitoring from compositional changes to the effectiveness of processing operations (<xref ref-type="bibr" rid="B7">Colaruotolo et al., 2021</xref>).</p>
<p>Foodomics refers to applying high-throughput omics techniques (e.g., genomics, proteomics, lipidomics, interactomics) to monitor biomolecules in foods (<xref ref-type="bibr" rid="B6">Cifuentes, 2012</xref>; <xref ref-type="bibr" rid="B46">Pollo et al., 2021</xref>). Currently, it is impossible to think about food safety without genomics. However, its applications have expanded beyond surveillance to allow characterizing the complex microbial communities in foods involved in potential spoilage and safety risks (<xref ref-type="bibr" rid="B1">Beck et al., 2021</xref>; <xref ref-type="bibr" rid="B39">Palevich et al., 2021</xref>). A foodomics-based approach has also been used to gain insights into underlying mechanisms involved in food quality losses (<xref ref-type="bibr" rid="B21">Hu et al., 2022</xref>) and bioactivity (<xref ref-type="bibr" rid="B13">Ding et al., 2023</xref>), as well as mapping changes in composition and microbial loads during processing (<xref ref-type="bibr" rid="B53">Sinanoglou et al., 2014</xref>; <xref ref-type="bibr" rid="B27">Lerma-Garc&#xed;a et al., 2016</xref>; <xref ref-type="bibr" rid="B61">Topcam et al., 2023</xref>). It has also been proposed as a potential replacement for costly and subjective methods, such as sensory analysis. By implementing a foodomics approach, arrays from electronic noses and tongues coupled with chemometrics can result in accurate sensory prediction models (<xref ref-type="bibr" rid="B60">Tan and Xu, 2020</xref>). These models could be integrated with transport and reaction kinetics models to predict the &#x2018;virtual smell and taste&#x2019; of the virtual foods. Hence, foodomics will progressively play a more prominent role in holistically mapping the relationships between composition and food phenomena, contributing to developing representative and accurate virtual foods.</p>
</sec>
<sec id="s4-2">
<title>Data use</title>
<p>Chemical formation and degradation kinetics, as well as microbial growth, and inactivation models are critical to developing representative virtual foods. Although novel analytical techniques progressively allow better elucidation and monitoring of these processes, this progress has not permeated to data analysis or characterization. Microbial inactivation and chemical reactions (e.g., Maillard reaction, lipid oxidation, vitamin degradation) kinetics in foods have been historically described using fixed-order kinetic models, particularly first-order (<xref ref-type="bibr" rid="B62">van Boekel, 2008</xref>; <xref ref-type="bibr" rid="B8">Corradini, 2018</xref>). Microbial growth is routinely modeled using several empirical models, e.g., Verhulst&#x2019;s model variants (<xref ref-type="bibr" rid="B42">Peleg et al., 2011</xref>). The parameters of these primary models have been primarily estimated on model systems or liquid foods, and their dependence on state variables has been primordially established using models with limited physical meaning, for example, the Arrhenius equation (<xref ref-type="bibr" rid="B43">Peleg et al., 2012</xref>; <xref ref-type="bibr" rid="B50">Saguy, 2016</xref>). Hence, to adequately mimic changes in composition and microbial load in a virtual food, some advances need to be implemented. Since most kinetic models are valid only under the assumption that the involved reactions are elementary, which is not always the case, a comprehensive study of complex reaction networks and mechanisms is needed. Also, coupling food reaction kinetics with multidimensional and multiscale transport models should become the norm rather than the exception (<xref ref-type="bibr" rid="B48">Ranjbaran et al., 2021</xref>). Such efforts would help provide a more realistic view of chemical and microbiological changes in the entirety of a food matrix (<xref ref-type="bibr" rid="B44">Peleg, 2023</xref>). Finally, recent advances in deep learning techniques have enabled the extraction of kinetic parameters from limited data, which could potentially accelerate the accurate modeling of these reactions in real and virtual foods.</p>
</sec>
</sec>
<sec id="s5">
<title>Transport models for the utilization of virtual foods</title>
<p>Food exposure to different and fluctuating environmental factors, e.g., temperature and relative humidity, throughout the supply chain lead to thermal and water content gradients within food matrices, significantly influencing reaction rates and non-homogenous changes in quality and safety attributes (<xref ref-type="bibr" rid="B57">Sun et al., 2021</xref>). Therefore, transport models are important building blocks to ensure the development and utilization of a virtual food.</p>
<p>Food materials are multiscalar matrices with unique shapes, porosity, and cellular microstructures (<xref ref-type="bibr" rid="B23">Janssen et al., 2020</xref>). To realistically and accurately represent a food matrix, transport models should be multiscalar too. They should be composed of a hierarchy of interconnected sub-models, each of them defining the food&#x2019;s behavior and properties at a specific scale (<xref ref-type="bibr" rid="B47">Rahman et al., 2018</xref>). At a macroscopic scale, transport phenomena are governed by heat and mass balance principles, grounded in classic theory such as Fourier&#x2019;s law of thermal conduction, Fick&#x2019;s law of diffusion, and Darcy&#x2019;s law of pressure-driven flows (<xref ref-type="bibr" rid="B71">Turner and Mujumdar, 1996</xref>; <xref ref-type="bibr" rid="B15">Erdogdu et al., 2017</xref>). Applying these principles allows for characterizing and simulating the spatial-temporal distribution of state variables (e.g., temperature, pressure). The integrated application of these principles within a multiphase transport approach allows for modeling water evaporation/condensation within solid porous media as driven by local dynamically and under nonequilibrium gradients of water vapor pressure, for example,. Hence, heat and moisture exchange between a food and its environment can be estimated more accurately and realistically than ever before (<xref ref-type="bibr" rid="B3">Chen and Pan, 2021</xref>).</p>
<p>By using finite element (FE) or finite volume (FV) methods, modeling transport phenomena in bodies with irregular geometries, material discontinuity, and heterogeneous composition, such as foods, can be effectively achieved (<xref ref-type="bibr" rid="B9">Curcio et al., 2016</xref>; <xref ref-type="bibr" rid="B4">Chen et al., 2022</xref>). Mesh-free methods (MFM), including pore network, dissipative particle dynamics, and smooth particle hydrodynamics, can be applied to overcome some of the limitations imposed by FE or FV methods due to the rigidity of the mesh itself. MFM allows diving into an assumed &#x2018;homogenized region&#x2019; and studying microscopic deformations and transport phenomena at the microscale (<xref ref-type="bibr" rid="B25">Karunasena et al., 2015</xref>). This results in accurate descriptions of pore geometry, dynamic tracking of the gas-liquid interfaces and gas distribution within porous media, and determining moisture diffusivities at a cellular level (<xref ref-type="bibr" rid="B34">Metzger, 2019</xref>; <xref ref-type="bibr" rid="B67">Welsh et al., 2021</xref>; <xref ref-type="bibr" rid="B40">Panda et al., 2022</xref>).</p>
<p>Building interconnected multiscale transport models could provide valuable insights into composition-property-structure-environment relationships in foods and food processes. However, applications of such models are still few, and several challenges remain to be surmounted to expand their use. They will require i) increased accessibility to rapid, high resolution, nondestructive data acquisition of structural attributes and components in real time, ii) obtaining accurate food properties and state variables data at multiple scales for model validation; ii) expanding the modeling of metabolic gases (e.g., O<sub>2</sub>, CO<sub>2</sub>) transport in porous food matrices, and iv) increased use of deep learning approaches to determine governing equations and critical parameters for processes such as diffusion in a heterogeneous media (<xref ref-type="bibr" rid="B22">Im et al., 2023</xref>). It is envisaged that these advances and hybrid approaches will contribute significantly to the development of virtual foods (<xref ref-type="bibr" rid="B56">Sun and Shi, 2022</xref>).</p>
</sec>
<sec id="s6">
<title>Applications of a virtual food</title>
<p>The value of developing virtual foods is profound for scientific research and practical applications. Conceived as comprehensive <italic>in silico</italic> models of real foods, they will allow us to better study and understand composition-structure-property-performance relationships. From a practical perspective, and as a crucial component of more extensive digital twins comprising a process, sets of thereof or even the whole supply chain, these avatars can be paraded through different virtualized environments to acquire realistic responses of a commodity or product to different scenarios as discussed below.</p>
<sec id="s6-1">
<title>Novel product design and development</title>
<p>Accurate <italic>in silico</italic> foods could facilitate the development of novel food products, including packaging (<xref ref-type="bibr" rid="B30">Marra, 2022</xref>). Desirable geometries, microstructural features, and nutrient stability can be pinpointed, designed, and tested through modeling and simulation to meet sensorial attributes, nutritional requirements (e.g., personalized needs), and sustainability goals (<xref ref-type="bibr" rid="B36">Nikitina and Chernukha, 2020</xref>; <xref ref-type="bibr" rid="B31">Marra, 2023</xref>). Additive manufacturing could be applied to build actual prototypes for validation. Packaging allows preserving quality and freshness, <italic>in silico</italic> food models can be used to scout and predict the performance of packaging materials virtually.</p>
</sec>
<sec id="s6-2">
<title>Process development, improvement, and optimization</title>
<p>Food processing is critical for producing safe, nutritious, and sustainable products. However, thermal and nonthermal processing result in lower food quality, functionality, or nutrition. Additionally, several conventional treatments, such as hot air drying, pose sustainability challenges, e.g., excessive energy consumption. Thus, as a food avatar embedded within a process digital twin can help develop efficient food processes and optimize operating conditions (<xref ref-type="bibr" rid="B64">Verboven et al., 2020</xref>; <xref ref-type="bibr" rid="B16">Erdogdu, 2023</xref>; <xref ref-type="bibr" rid="B61">Topcam et al., 2023</xref>). A virtual food could serve as a new &#x2018;pre-check&#x2019; approach to test whether a novel processing approach works. Using a multiphysics approach, optimal operating conditions could be matched to specific commodity varieties or products with different composition. This will allow the simultaneous optimization of food and process.</p>
</sec>
<sec id="s6-3">
<title>Supply chain mapping and smart logistics</title>
<p>Food virtualization provides a feasible, rapid, and efficient way to assess potential sources of concern throughout the supply chain that might shorten a product&#x2019;s shelf-life or present a higher risk of exposure to potential contamination (<xref ref-type="bibr" rid="B59">Tagliavini et al., 2019</xref>; <xref ref-type="bibr" rid="B12">Defraeye et al., 2021</xref>). By simulating these situations and retrieving valuable information from the food avatar, a smarter distribution/storage system with integrated measures to minimize risks can be enacted and customized for different types of foods to prevent food waste and outbreaks, as recently reported by <xref ref-type="bibr" rid="B52">Shrivastava et al. (2022)</xref>.</p>
</sec>
</sec>
<sec id="s7">
<title>Conclusions and recommendations</title>
<p>Several elements that contribute to the virtualization of a food product, from databases to modeling approaches, are already available. Advances in computational power, characterization techniques, and data integration strategies are completing the jigsaw puzzle. Despite their potential value, the implementation this powerful tool has been demonstrated on limited occasions. Numerous challenges remain for their full implementation as a routine tools to optimize the performance of the food supply chain.</p>
<p>Full virtualization of a food product requires interdisciplinary contributions. Expanding collaborations beyond strictly food disciplines at the academic and industrial level can facilitate this process. The data needed to inform each component of a virtual food are substantial and require contributions that reflect spatial and temporal variability. Thus, cloud-based storage with the capability to integrate categorized information should be established and shared among stakeholders.</p>
<p>Additionally, development and operation of virtual food models will require specific knowledge and skills, which may limit their applicability. Translation and dissemination of the outcomes (<xref ref-type="bibr" rid="B24">Kansou et al., 2022</xref>), user-friendly graphical user interfaces (GUI), and proper training in relevant skills are critical to expanding their future use and building more sustainable and secure global food systems.</p>
</sec>
</body>
<back>
<sec id="s8">
<title>Author contributions</title>
<p>CC, AH-J, and MC contributed to the conceptualization of the manuscript. CC and MC compiled the literature review, and all authors organized the sources. AH-J developed the illustration. CC wrote the first draft of the manuscript; subsequent versions reflect the contributions of all authors. All authors contributed to the article and approved the submitted version.</p>
</sec>
<sec id="s9">
<title>Funding</title>
<p>Natural Sciences and Engineering Research Council of Canada (NSERC) Discovery Program RGPIN-2019-04995; SMART Training Platform at the University of Guelph.</p>
</sec>
<ack>
<p>AH-J would also like to express her gratitude to the SMART Training Platform for the financial support to conduct her Ph.D. studies at the University of Guelph.</p>
</ack>
<sec sec-type="COI-statement" id="s10">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
<p>The author MC declared that they were an editorial board member of Frontiers, at the time of submission. This had no impact on the peer review process and the final decision.</p>
</sec>
<sec sec-type="disclaimer" id="s11">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<ref-list>
<title>References</title>
<ref id="B1">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Beck</surname>
<given-names>K. L.</given-names>
</name>
<name>
<surname>Haiminen</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Chambliss</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Edlund</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Kunitomi</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Huang</surname>
<given-names>B. C.</given-names>
</name>
<etal/>
</person-group> (<year>2021</year>). <article-title>Monitoring the microbiome for food safety and quality using deep shotgun sequencing</article-title>. <source>Npj Sci. Food</source> <volume>5</volume>, <fpage>3</fpage>. <pub-id pub-id-type="doi">10.1038/s41538-020-00083-y</pub-id>
</citation>
</ref>
<ref id="B2">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Cantre</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Herremans</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Verboven</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Ampofo-Asiama</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Nicola&#xef;</surname>
<given-names>B.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>Characterization of the 3-D microstructure of mango (<italic>Mangifera indica</italic> L. cv. Carabao) during ripening using X-ray computed microtomography</article-title>. <source>Innov. Food Sci. Emerg. Technol.</source> <volume>24</volume>, <fpage>28</fpage>&#x2013;<lpage>39</lpage>. <pub-id pub-id-type="doi">10.1016/j.ifset.2013.12.008</pub-id>
</citation>
</ref>
<ref id="B3">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chen</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Pan</surname>
<given-names>Z.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Heat and moisture transfer studies on walnuts during hot air drying in a fixed-bed column dryer</article-title>. <source>Appl. Therm. Eng.</source> <volume>199</volume>, <fpage>117554</fpage>. <pub-id pub-id-type="doi">10.1016/j.applthermaleng.2021.117554</pub-id>
</citation>
</ref>
<ref id="B4">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chen</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Upadhyaya</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Khir</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Pan</surname>
<given-names>Z.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Simulation of walnut drying under hot air heating using a nonequilibrium multiphase transfer model</article-title>. <source>Dry. Technol.</source> <volume>40</volume>, <fpage>987</fpage>&#x2013;<lpage>1001</lpage>. <pub-id pub-id-type="doi">10.1080/07373937.2020.1846552</pub-id>
</citation>
</ref>
<ref id="B5">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chigwaya</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>du Plessis</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Viljoen</surname>
<given-names>D. W.</given-names>
</name>
<name>
<surname>Crouch</surname>
<given-names>I. J.</given-names>
</name>
<name>
<surname>Crouch</surname>
<given-names>E. M.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Use of X-ray computed tomography and 3D image analysis to characterize internal browning in &#x2018;Fuji&#x2019;apples after exposure to CO<sub>2</sub> stress</article-title>. <source>Sci. Hortic.</source> <volume>277</volume>, <fpage>109840</fpage>. <pub-id pub-id-type="doi">10.1016/j.scienta.2020.109840</pub-id>
</citation>
</ref>
<ref id="B6">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Cifuentes</surname>
<given-names>A.</given-names>
</name>
</person-group> (<year>2012</year>). <article-title>Food analysis: Present, future and foodomics</article-title>. <source>ISRN Anal. Chem.</source> <volume>2012</volume>, <fpage>1</fpage>&#x2013;<lpage>16</lpage>. <pub-id pub-id-type="doi">10.5402/2012/801607</pub-id>
</citation>
</ref>
<ref id="B7">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Colaruotolo</surname>
<given-names>L. A.</given-names>
</name>
<name>
<surname>Peters</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Corradini</surname>
<given-names>M. G.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Novel luminescent techniques in aid of food quality, product development, and food processing</article-title>. <source>Curr. Opin. Food Sci.</source> <volume>42</volume>, <fpage>148</fpage>&#x2013;<lpage>156</lpage>. <pub-id pub-id-type="doi">10.1016/j.cofs.2021.06.005</pub-id>
</citation>
</ref>
<ref id="B8">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Corradini</surname>
<given-names>M. G.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Shelf life of food products: From open labeling to real-time measurements</article-title>. <source>Ann. Rev. Food Sci. Technol.</source> <volume>9</volume>, <fpage>251</fpage>&#x2013;<lpage>269</lpage>. <pub-id pub-id-type="doi">10.1146/annurev-food-030117-012433</pub-id>
</citation>
</ref>
<ref id="B9">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Curcio</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Aversa</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Chakraborty</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Calabr&#xf2;</surname>
<given-names>V.</given-names>
</name>
<name>
<surname>Iorio</surname>
<given-names>G.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>Formulation of a 3D conjugated multiphase transport model to predict drying process behavior of irregular-shaped vegetables</article-title>. <source>J. Food Eng.</source> <volume>176</volume>, <fpage>36</fpage>&#x2013;<lpage>55</lpage>. <pub-id pub-id-type="doi">10.1016/j.jfoodeng.2015.11.020</pub-id>
</citation>
</ref>
<ref id="B10">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Datta</surname>
<given-names>A. K.</given-names>
</name>
<name>
<surname>Nicola&#xef;</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Vitrac</surname>
<given-names>O.</given-names>
</name>
<name>
<surname>Verboven</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Erdogdu</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Marra</surname>
<given-names>F.</given-names>
</name>
<etal/>
</person-group> (<year>2022</year>). <article-title>Computer-aided food engineering</article-title>. <source>Nat. Food</source> <volume>3</volume>, <fpage>894</fpage>&#x2013;<lpage>904</lpage>. <pub-id pub-id-type="doi">10.1038/s43016-022-00617-5</pub-id>
</citation>
</ref>
<ref id="B11">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Datta</surname>
<given-names>A. K.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>Toward computer-aided food engineering: Mechanistic frameworks for evolution of product, quality and safety during processing</article-title>. <source>J. Food Eng.</source> <volume>176</volume>, <fpage>9</fpage>&#x2013;<lpage>27</lpage>. <pub-id pub-id-type="doi">10.1016/j.jfoodeng.2015.10.010</pub-id>
</citation>
</ref>
<ref id="B12">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Defraeye</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Shrivastava</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Berry</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Verboven</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Onwude</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Schudel</surname>
<given-names>S.</given-names>
</name>
<etal/>
</person-group> (<year>2021</year>). <article-title>Digital twins are coming: Will we need them in supply chains of fresh horticultural produce?</article-title> <source>Trends Food Sci. Technol.</source> <volume>109</volume>, <fpage>245</fpage>&#x2013;<lpage>258</lpage>. <pub-id pub-id-type="doi">10.1016/j.tifs.2021.01.025</pub-id>
</citation>
</ref>
<ref id="B13">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ding</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Jiang</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Shi</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>He</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Tan</surname>
<given-names>C. P.</given-names>
</name>
<etal/>
</person-group> (<year>2023</year>). <article-title>Foodomics reveals anti&#x2010;obesity properties of cannabinoids from hemp oil</article-title>. <source>Mol. Nutr. Food Res.</source> <volume>67</volume>, <fpage>2200508</fpage>. <pub-id pub-id-type="doi">10.1002/mnfr.202200508</pub-id>
</citation>
</ref>
<ref id="B14">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Duan</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>G. B.</given-names>
</name>
<name>
<surname>Fawole</surname>
<given-names>O. A.</given-names>
</name>
<name>
<surname>Verboven</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>X. R.</given-names>
</name>
<name>
<surname>Wu</surname>
<given-names>D.</given-names>
</name>
<etal/>
</person-group> (<year>2020</year>). <article-title>Postharvest precooling of fruit and vegetables: A review</article-title>. <source>Trends Food Sci. Tech.</source> <volume>100</volume>, <fpage>278</fpage>&#x2013;<lpage>291</lpage>. <pub-id pub-id-type="doi">10.1016/j.tifs.2020.04.027</pub-id>
</citation>
</ref>
<ref id="B15">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Erdogdu</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Sarghini</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Marra</surname>
<given-names>F.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Mathematical modeling for virtualization in food processing</article-title>. <source>Food Eng. Rev.</source> <volume>9</volume>, <fpage>295</fpage>&#x2013;<lpage>313</lpage>. <pub-id pub-id-type="doi">10.1007/s12393-017-9161-y</pub-id>
</citation>
</ref>
<ref id="B16">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Erdogdu</surname>
<given-names>F.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>Mathematical modeling of food thermal processing: Current and future challenges</article-title>. <source>Curr. Opin. Food Sci.</source> <volume>51</volume>, <fpage>101042</fpage>. <pub-id pub-id-type="doi">10.1016/j.cofs.2023.101042</pub-id>
</citation>
</ref>
<ref id="B17">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Figura</surname>
<given-names>L. O.</given-names>
</name>
<name>
<surname>Teixeira</surname>
<given-names>A. A.</given-names>
</name>
</person-group> (<year>2007</year>). <source>Food physics: Physical properties &#x2013; measurements and applications</source>. <publisher-loc>Heidelberg</publisher-loc>: <publisher-name>Springer Berlin</publisher-name>.</citation>
</ref>
<ref id="B18">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Gruber</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Vorhauer-Huget</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Foerst</surname>
<given-names>P.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>
<italic>In situ</italic> micro-computed tomography to study microstructure and sublimation front during freeze-drying</article-title>. <source>Food Struct.</source> <volume>29</volume>, <fpage>100213</fpage>. <pub-id pub-id-type="doi">10.1016/j.foostr.2021.100213</pub-id>
</citation>
</ref>
<ref id="B19">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Gruyters</surname>
<given-names>W.</given-names>
</name>
<name>
<surname>Van De Looverbosch</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Janssen</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Verboven</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Defraeye</surname>
<given-names>T.</given-names>
</name>
<etal/>
</person-group> (<year>2020</year>). <article-title>Revealing shape variability and cultivar effects on cooling of packaged fruit by combining CT-imaging with explicit CFD modelling</article-title>. <source>Postharv. Biol. Technol.</source> <volume>162</volume>, <fpage>111098</fpage>. <pub-id pub-id-type="doi">10.1016/j.postharvbio.2019.111098</pub-id>
</citation>
</ref>
<ref id="B20">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Guo</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Zeng</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Kazantsev</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Rockett</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Bent</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Kirkland</surname>
<given-names>M.</given-names>
</name>
<etal/>
</person-group> (<year>2017</year>). <article-title>Synchrotron X-ray tomographic quantification of microstructural evolution in ice cream&#x2013;a multiphase soft solid</article-title>. <source>RSC Adv.</source> <volume>7</volume>, <fpage>15561</fpage>&#x2013;<lpage>15573</lpage>. <pub-id pub-id-type="doi">10.1039/C7RA00642J</pub-id>
</citation>
</ref>
<ref id="B21">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hu</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Cai</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Xiong</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Wei</surname>
<given-names>L.</given-names>
</name>
<etal/>
</person-group> (<year>2022</year>). <article-title>Systematic study of the sensory quality, metabolomics, and microbial community of fresh-cut watermelon provides new clues for its quality control and preservation</article-title>. <source>Foods</source> <volume>11</volume>, <fpage>3423</fpage>. <pub-id pub-id-type="doi">10.3390/foods11213423</pub-id>
</citation>
</ref>
<ref id="B22">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Im</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>de Barros</surname>
<given-names>F. P.</given-names>
</name>
<name>
<surname>Masri</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Sahimi</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Ziff</surname>
<given-names>R. M.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>Data-driven discovery of the governing equations for transport in heterogeneous media by symbolic regression and stochastic optimization</article-title>. <source>Phys. Rev. E</source> <volume>107</volume>, <fpage>L013301</fpage>. <pub-id pub-id-type="doi">10.1103/PhysRevE.107.L013301</pub-id>
</citation>
</ref>
<ref id="B23">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Janssen</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Verboven</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Nugraha</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Boone</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Josipovic</surname>
<given-names>I.</given-names>
</name>
<etal/>
</person-group> (<year>2020</year>). <article-title>3D pore structure analysis of intact &#x2018;Braeburn&#x2019;apples using X-ray micro-CT</article-title>. <source>Postharvest Biol. Technol.</source> <volume>159</volume>, <fpage>111014</fpage>. <pub-id pub-id-type="doi">10.1016/j.postharvbio.2019.111014</pub-id>
</citation>
</ref>
<ref id="B24">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kansou</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Laurier</surname>
<given-names>W.</given-names>
</name>
<name>
<surname>Charalambides</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Della-Valle</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Djekic</surname>
<given-names>I.</given-names>
</name>
<name>
<surname>Hailu Feyissa</surname>
<given-names>H.</given-names>
</name>
<etal/>
</person-group> (<year>2022</year>). <article-title>Food modelling strategies and approaches for knowledge transfer</article-title>. <source>Trends Food Sci. Technol.</source> <volume>120</volume>, <fpage>363</fpage>&#x2013;<lpage>373</lpage>. <pub-id pub-id-type="doi">10.1016/j.tifs.2022.01.021</pub-id>
</citation>
</ref>
<ref id="B25">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Karunasena</surname>
<given-names>H. C. P.</given-names>
</name>
<name>
<surname>Brown</surname>
<given-names>R. J.</given-names>
</name>
<name>
<surname>Gu</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Senadeera</surname>
<given-names>W.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>Application of meshfree methods to numerically simulate microscale deformations of different plant food materials during drying</article-title>. <source>J. Food Eng.</source> <volume>146</volume>, <fpage>209</fpage>&#x2013;<lpage>226</lpage>. <pub-id pub-id-type="doi">10.1016/j.jfoodeng.2014.09.011</pub-id>
</citation>
</ref>
<ref id="B26">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kirtil</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Cikrikci</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>McCarthy</surname>
<given-names>M. J.</given-names>
</name>
<name>
<surname>Oztop</surname>
<given-names>M. H.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Recent advances in time domain NMR and MRI sensors and their food applications</article-title>. <source>Curr. Opin. Food Sci.</source> <volume>17</volume>, <fpage>9</fpage>&#x2013;<lpage>15</lpage>. <pub-id pub-id-type="doi">10.1016/j.cofs.2017.07.005</pub-id>
</citation>
</ref>
<ref id="B27">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lerma-Garc&#xed;a</surname>
<given-names>M. J.</given-names>
</name>
<name>
<surname>D&#x27;Amato</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Sim&#xf3;-Alfonso</surname>
<given-names>E. F.</given-names>
</name>
<name>
<surname>Righetti</surname>
<given-names>P. G.</given-names>
</name>
<name>
<surname>Fasoli</surname>
<given-names>E.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>Orange proteomic fingerprinting: From fruit to commercial juices</article-title>. <source>Food Chem.</source> <volume>196</volume>, <fpage>739</fpage>&#x2013;<lpage>749</lpage>. <pub-id pub-id-type="doi">10.1016/j.foodchem.2015.10.009</pub-id>
</citation>
</ref>
<ref id="B28">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Mahiuddin</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Khan</surname>
<given-names>M. I. H.</given-names>
</name>
<name>
<surname>Kumar</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Rahman</surname>
<given-names>M. M.</given-names>
</name>
<name>
<surname>Karim</surname>
<given-names>M. A.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Shrinkage of food materials during drying: Current status and challenges</article-title>. <source>Compr. Rev. Food Sci. Food Saf.</source> <volume>17</volume>, <fpage>1113</fpage>&#x2013;<lpage>1126</lpage>. <pub-id pub-id-type="doi">10.1111/1541-4337.12375</pub-id>
</citation>
</ref>
<ref id="B29">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Marra</surname>
<given-names>F.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>Virtualization of processes in food engineering</article-title>. <source>J. Food. Eng.</source> <volume>176</volume>, <fpage>1</fpage>. <pub-id pub-id-type="doi">10.1016/j.jfoodeng.2016.01.021</pub-id>
</citation>
</ref>
<ref id="B30">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Marra</surname>
<given-names>F.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Food products and digital tools: The unexpected interconnections</article-title>. <source>Front. Nutr.</source> <volume>9</volume>, <fpage>847038</fpage>. <pub-id pub-id-type="doi">10.3389/fnut.2022.847038</pub-id>
</citation>
</ref>
<ref id="B31">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Marra</surname>
<given-names>F.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>Combining computer-aided food engineering and electro-heating applications as contribution to food processing sustainability</article-title>. <source>Front. Sustain.</source> <volume>4</volume>, <fpage>1170467</fpage>. <pub-id pub-id-type="doi">10.3389/frsus.2023.1170467</pub-id>
</citation>
</ref>
<ref id="B32">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Mengucci</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Ferranti</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Romano</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Masi</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Picone</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Capozzi</surname>
<given-names>F.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Food structure, function and artificial intelligence</article-title>. <source>Trends Food Sci. Tech.</source> <volume>123</volume>, <fpage>251</fpage>&#x2013;<lpage>263</lpage>. <pub-id pub-id-type="doi">10.1016/j.tifs.2022.03.015</pub-id>
</citation>
</ref>
<ref id="B33">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Metilli</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Storm</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Bodey</surname>
<given-names>A. J.</given-names>
</name>
<name>
<surname>Wanelik</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Tyler</surname>
<given-names>A. I.</given-names>
</name>
<name>
<surname>Lazidis</surname>
<given-names>A.</given-names>
</name>
<etal/>
</person-group> (<year>2021</year>). <article-title>Investigating the microstructure of soft, microporous matter with synchrotron X-ray tomography</article-title>. <source>Mater. Charact.</source> <volume>180</volume>, <fpage>111408</fpage>. <pub-id pub-id-type="doi">10.1016/j.matchar.2021.111408</pub-id>
</citation>
</ref>
<ref id="B34">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Metzger</surname>
<given-names>T.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>A personal view on pore network models in drying technology</article-title>. <source>Dry. Technol.</source> <volume>37</volume>, <fpage>497</fpage>&#x2013;<lpage>512</lpage>. <pub-id pub-id-type="doi">10.1080/07373937.2018.1512502</pub-id>
</citation>
</ref>
<ref id="B35">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Nielsen</surname>
<given-names>S. S.</given-names>
</name>
</person-group> (<year>2017</year>). &#x201c;<article-title>Food analysis</article-title>,&#x201d; in <source>Food science text series</source> (<publisher-loc>New York, NY</publisher-loc>: <publisher-name>Springer Press</publisher-name>). <pub-id pub-id-type="doi">10.1007/978-3-319-45776-5_1</pub-id>
</citation>
</ref>
<ref id="B36">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Nikitina</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Chernukha</surname>
<given-names>I.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Personalized nutrition and &#x201c;digital twins&#x201d; of food</article-title>. <source>Potravin. Slovak J. Food Sci.</source> <volume>14</volume>, <fpage>264</fpage>&#x2013;<lpage>270</lpage>. <pub-id pub-id-type="doi">10.5219/1312</pub-id>
</citation>
</ref>
<ref id="B37">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Nugraha</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Verboven</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Janssen</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Hertog</surname>
<given-names>M. L.</given-names>
</name>
<name>
<surname>Boone</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Josipovic</surname>
<given-names>I.</given-names>
</name>
<etal/>
</person-group> (<year>2021</year>). <article-title>Oxygen diffusivity mapping of fruit and vegetables based on X-ray CT</article-title>. <source>J. Food Eng.</source> <volume>306</volume>, <fpage>110640</fpage>. <pub-id pub-id-type="doi">10.1016/j.jfoodeng.2021.110640</pub-id>
</citation>
</ref>
<ref id="B38">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Pacheco-Aguirre</surname>
<given-names>F. M.</given-names>
</name>
<name>
<surname>Garc&#xed;a-Alvarado</surname>
<given-names>M. A.</given-names>
</name>
<name>
<surname>Corona-Jim&#xe9;nez</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Ruiz-Espinosa</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Cort&#xe9;s-Zavaleta</surname>
<given-names>O.</given-names>
</name>
<name>
<surname>Ruiz-L&#xf3;pez</surname>
<given-names>I. I.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>Drying modeling in products undergoing simultaneous size reduction and shape change: Appraisal of deformation effect on water diffusivity</article-title>. <source>J. Food Eng.</source> <volume>164</volume>, <fpage>30</fpage>&#x2013;<lpage>39</lpage>. <pub-id pub-id-type="doi">10.1016/j.jfoodeng.2015.04.031</pub-id>
</citation>
</ref>
<ref id="B39">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Palevich</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Palevich</surname>
<given-names>F. P.</given-names>
</name>
<name>
<surname>Maclean</surname>
<given-names>P. H.</given-names>
</name>
<name>
<surname>Altermann</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Gardner</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Burgess</surname>
<given-names>S.</given-names>
</name>
<etal/>
</person-group> (<year>2021</year>). <article-title>Comparative genomics of Clostridium species associated with vacuum-packed meat spoilage</article-title>. <source>Food Microbiol.</source> <volume>95</volume>, <fpage>103687</fpage>. <pub-id pub-id-type="doi">10.1016/j.fm.2020.103687</pub-id>
</citation>
</ref>
<ref id="B40">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Panda</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Bhaskaran</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Paliwal</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Kharaghani</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Tsotsas</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Surasani</surname>
<given-names>V. K.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Pore-scale physics of drying porous media revealed by Lattice Boltzmann simulations</article-title>. <source>Dry. Technol.</source> <volume>40</volume>, <fpage>1114</fpage>&#x2013;<lpage>1129</lpage>. <pub-id pub-id-type="doi">10.1080/07373937.2020.1850469</pub-id>
</citation>
</ref>
<ref id="B41">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Peleg</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Corradini</surname>
<given-names>M. G.</given-names>
</name>
</person-group> (<year>2011</year>). <article-title>Microbial growth curves: What the models tell us and what they cannot</article-title>. <source>Crit. Rev. Food Sci. Nutr.</source> <volume>51</volume>, <fpage>917</fpage>&#x2013;<lpage>945</lpage>. <pub-id pub-id-type="doi">10.1080/10408398.2011.570463</pub-id>
</citation>
</ref>
<ref id="B42">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Peleg</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Normand</surname>
<given-names>M. D.</given-names>
</name>
<name>
<surname>Corradini</surname>
<given-names>M. G.</given-names>
</name>
</person-group> (<year>2011</year>). <article-title>Expanded &#x2018;Fermi solution&#x2019; for estimating the relationship between product spoilage or deterioration and the number of consumer complaints</article-title>. <source>Trends Food Sci. Tech.</source> <volume>22</volume>, <fpage>341</fpage>&#x2013;<lpage>349</lpage>. <pub-id pub-id-type="doi">10.1016/j.tifs.2011.03.007</pub-id>
</citation>
</ref>
<ref id="B43">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Peleg</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Normand</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Corradini</surname>
<given-names>M. G.</given-names>
</name>
</person-group> (<year>2012</year>). <article-title>The Arrhenius equation revisited</article-title>. <source>Crit. Rev. Food Sci.</source> <volume>54</volume>, <fpage>830</fpage>&#x2013;<lpage>851</lpage>. <pub-id pub-id-type="doi">10.1080/10408398.2012.667460</pub-id>
</citation>
</ref>
<ref id="B44">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Peleg</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>Selected challenges to modeling the kinetics of microbial inactivation and chemical reactions during food preservation</article-title>. <source>Curr. Opin. Food Sci.</source> <volume>101029</volume>, <fpage>101029</fpage>. <pub-id pub-id-type="doi">10.1016/j.cofs.2023.101029</pub-id>
</citation>
</ref>
<ref id="B45">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Piovesan</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Vancauwenberghe</surname>
<given-names>V.</given-names>
</name>
<name>
<surname>Van De Looverbosch</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Verboven</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Nicola&#xef;</surname>
<given-names>B.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>X-ray computed tomography for 3D plant imaging</article-title>. <source>Trends Plant Sci.</source> <volume>26</volume>, <fpage>1171</fpage>&#x2013;<lpage>1185</lpage>. <pub-id pub-id-type="doi">10.1016/j.tplants.2021.07.010</pub-id>
</citation>
</ref>
<ref id="B46">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Pollo</surname>
<given-names>B. J.</given-names>
</name>
<name>
<surname>Teixeira</surname>
<given-names>C. A.</given-names>
</name>
<name>
<surname>Belinato</surname>
<given-names>J. R.</given-names>
</name>
<name>
<surname>Furlan</surname>
<given-names>M. F.</given-names>
</name>
<name>
<surname>de Matos Cunha</surname>
<given-names>I. C.</given-names>
</name>
<name>
<surname>Vaz</surname>
<given-names>C. R.</given-names>
</name>
<etal/>
</person-group> (<year>2021</year>). <article-title>Chemometrics, comprehensive two-dimensional gas chromatography and &#x201c;omics&#x201d; sciences: Basic tools and recent applications</article-title>. <source>Trends Anal. Chem.</source> <volume>134</volume>, <fpage>116111</fpage>. <pub-id pub-id-type="doi">10.1016/j.trac.2020.116111</pub-id>
</citation>
</ref>
<ref id="B47">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Rahman</surname>
<given-names>M. M.</given-names>
</name>
<name>
<surname>Joardder</surname>
<given-names>M. U.</given-names>
</name>
<name>
<surname>Khan</surname>
<given-names>M. I. H.</given-names>
</name>
<name>
<surname>Pham</surname>
<given-names>N. D.</given-names>
</name>
<name>
<surname>Karim</surname>
<given-names>M. A.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Multiscale model of food drying: Current status and challenges</article-title>. <source>Crit. Rev. Food Sci. Nutr.</source> <volume>58</volume>, <fpage>858</fpage>&#x2013;<lpage>876</lpage>. <pub-id pub-id-type="doi">10.1080/10408398.2016.1227299</pub-id>
</citation>
</ref>
<ref id="B48">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ranjbaran</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Carciofi</surname>
<given-names>B. A. M.</given-names>
</name>
<name>
<surname>Datta</surname>
<given-names>A. K.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Engineering modeling frameworks for microbial food safety at various scales</article-title>. <source>Compr. Rev. Food Sci. Food Saf.</source> <volume>20</volume>, <fpage>4213</fpage>&#x2013;<lpage>4249</lpage>. <pub-id pub-id-type="doi">10.1111/1541-4337.12818</pub-id>
</citation>
</ref>
<ref id="B49">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>R&#xf6;ding</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Ma</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Torquato</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Predicting permeability via statistical learning on higher-order microstructural information</article-title>. <source>Sci. Rep.</source> <volume>10</volume>, <fpage>15239</fpage>. <pub-id pub-id-type="doi">10.1038/s41598-020-72085-5</pub-id>
</citation>
</ref>
<ref id="B50">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Saguy</surname>
<given-names>I. S.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>Challenges and opportunities in food engineering: Modeling,virtualization, open innovation and social responsibility</article-title>. <source>J. Food Eng.</source> <volume>176</volume>, <fpage>2</fpage>&#x2013;<lpage>8</lpage>. <pub-id pub-id-type="doi">10.1016/j.jfoodeng.2015.07.012</pub-id>
</citation>
</ref>
<ref id="B51">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Schork</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Schuhmann</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Gruschke</surname>
<given-names>O.</given-names>
</name>
<name>
<surname>Gross</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Zick</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Nirschl</surname>
<given-names>H.</given-names>
</name>
<etal/>
</person-group> (<year>2020</year>). <article-title>Recent MRI and diffusion studies of food structures</article-title>. <source>Annu. Rep. NMR Spectrosc.</source> <volume>100</volume>, <fpage>145</fpage>&#x2013;<lpage>197</lpage>. <pub-id pub-id-type="doi">10.1016/bs.arnmr.2016.09.001</pub-id>
</citation>
</ref>
<ref id="B52">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Shrivastava</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Berry</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Cronje</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Schudel</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Defraeye</surname>
<given-names>T.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Digital twins enable the quantification of the trade-offs in maintaining citrus quality and marketability in the refrigerated supply chain</article-title>. <source>Nat. Food</source> <volume>3</volume>, <fpage>413</fpage>&#x2013;<lpage>427</lpage>. <pub-id pub-id-type="doi">10.1038/s43016-022-00497-9</pub-id>
</citation>
</ref>
<ref id="B53">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sinanoglou</surname>
<given-names>V. J.</given-names>
</name>
<name>
<surname>Kokkotou</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Fotakis</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Strati</surname>
<given-names>I.</given-names>
</name>
<name>
<surname>Proestos</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Zoumpoulakis</surname>
<given-names>P.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>Monitoring the quality of &#x3b3;-irradiated macadamia nuts based on lipid profile analysis and chemometrics. Traceability models of irradiated samples</article-title>. <source>Food Res. Int.</source> <volume>60</volume>, <fpage>38</fpage>&#x2013;<lpage>47</lpage>. <pub-id pub-id-type="doi">10.1016/j.foodres.2014.01.015</pub-id>
</citation>
</ref>
<ref id="B54">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Singh</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Corradini</surname>
<given-names>M. G.</given-names>
</name>
</person-group> (<year>2023</year>). &#x201c;<article-title>Big data and its role in mitigating food spoilage and quality deterioration along the supply chain</article-title>,&#x201d; in <source>Harnessing big data in food safety</source>. Editors <person-group person-group-type="editor">
<name>
<surname>Farber</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Dara</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Ronholm</surname>
<given-names>J.</given-names>
</name>
</person-group> (<publisher-loc>New York, NY</publisher-loc>: <publisher-name>Springer Press</publisher-name>), <fpage>93</fpage>&#x2013;<lpage>112</lpage>.</citation>
</ref>
<ref id="B55">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Su</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Mujumdar</surname>
<given-names>A. S.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>Recent developments in smart drying technology</article-title>. <source>Dry. Technol.</source> <volume>33</volume>, <fpage>260</fpage>&#x2013;<lpage>276</lpage>. <pub-id pub-id-type="doi">10.1080/07373937.2014.985382</pub-id>
</citation>
</ref>
<ref id="B56">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sun</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Shi</surname>
<given-names>V. G.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>PhysiNet: A combination of physics-based model and neural network model for digital twins</article-title>. <source>Int. Syst.</source> <volume>37</volume>, <fpage>5443</fpage>&#x2013;<lpage>5456</lpage>. <pub-id pub-id-type="doi">10.1002/int.22798</pub-id>
</citation>
</ref>
<ref id="B57">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sun</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Ju</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Mujumdar</surname>
<given-names>A.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Novel nondestructive NMR method aided by artificial neural network for monitoring the flavor changes of garlic by drying</article-title>. <source>Dry. Technol.</source> <volume>39</volume>, <fpage>1184</fpage>&#x2013;<lpage>1195</lpage>. <pub-id pub-id-type="doi">10.1080/07373937.2020.1821211</pub-id>
</citation>
</ref>
<ref id="B58">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Suresh</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Neethirajan</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>Real-time 3D visualization and quantitative analysis of internal structure of wheat kernels</article-title>. <source>J. Cereal Sci.</source> <volume>63</volume>, <fpage>81</fpage>&#x2013;<lpage>87</lpage>. <pub-id pub-id-type="doi">10.1016/j.jcs.2015.03.006</pub-id>
</citation>
</ref>
<ref id="B59">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Tagliavini</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Defraeye</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Carmeliet</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Multiphysics modeling of convective cooling of non-spherical, multi-material fruit to unveil its quality evolution throughout the cold chain</article-title>. <source>Food Bioprod. process.</source> <volume>117</volume>, <fpage>310</fpage>&#x2013;<lpage>320</lpage>. <pub-id pub-id-type="doi">10.1016/j.fbp.2019.07.013</pub-id>
</citation>
</ref>
<ref id="B60">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Tan</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Xu</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Applications of electronic nose (e-nose) and electronic tongue (e-tongue) in food quality-related properties determination: A review</article-title>. <source>Artif. Intell. Agric.</source> <volume>4</volume>, <fpage>104</fpage>&#x2013;<lpage>115</lpage>. <pub-id pub-id-type="doi">10.1016/j.aiia.2020.06.003</pub-id>
</citation>
</ref>
<ref id="B61">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Topcam</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Coskun</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Son</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Kutuk</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Aytac</surname>
<given-names>S. A.</given-names>
</name>
<name>
<surname>Mert</surname>
<given-names>B.</given-names>
</name>
<etal/>
</person-group> (<year>2023</year>). <article-title>Microwave decontamination processing of tahini and process design considerations using a computational approach</article-title>. <source>Innov. Food Sci. Emerg. Technol.</source> <volume>86</volume>, <fpage>103377</fpage>. <pub-id pub-id-type="doi">10.1016/j.ifset.2023.103377</pub-id>
</citation>
</ref>
<ref id="B71">
<citation citation-type="book">
<person-group person-group-type="editor">
<name>
<surname>I</surname>
<given-names>Turner,</given-names>
</name>
<name>
<surname>A. S.</surname>
<given-names>Mujumdar,</given-names>
</name>
</person-group> (Editors) (<year>1996</year>). <source>Mathematical modeling and numerical techniques in drying technology</source>. <publisher-name>CRC Press</publisher-name>.</citation>
</ref>
<ref id="B62">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>van Boekel</surname>
<given-names>M. A. J. S.</given-names>
</name>
</person-group> (<year>2008</year>). <article-title>Kinetic modeling of food quality: A critical review</article-title>. <source>Compr. Rev. Food Sci. Food Saf.</source> <volume>7</volume>, <fpage>144</fpage>&#x2013;<lpage>158</lpage>. <pub-id pub-id-type="doi">10.1111/J.1541-4337.2007.00036.x</pub-id>
</citation>
</ref>
<ref id="B63">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Van Dael</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Verboven</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Zanella</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Sijbers</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Nicola&#xef;</surname>
<given-names>B.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Combination of shape and X-ray inspection for apple internal quality control: In silico analysis of the methodology based on X-ray computed tomography</article-title>. <source>Postharv. Biol. Technol.</source> <volume>148</volume>, <fpage>218</fpage>&#x2013;<lpage>227</lpage>. <pub-id pub-id-type="doi">10.1016/j.postharvbio.2018.05.020</pub-id>
</citation>
</ref>
<ref id="B64">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Verboven</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Defraeye</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Datta</surname>
<given-names>A. K.</given-names>
</name>
<name>
<surname>Nicola&#xef;</surname>
<given-names>B.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Digital twins of food process operations: The next step for food process models?</article-title> <source>Curr. Opin. Food Sci.</source> <volume>35</volume>, <fpage>79</fpage>&#x2013;<lpage>87</lpage>. <pub-id pub-id-type="doi">10.1016/j.cofs.2020.03.002</pub-id>
</citation>
</ref>
<ref id="B65">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Verdouw</surname>
<given-names>C. N.</given-names>
</name>
<name>
<surname>Wolfert</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Beulens</surname>
<given-names>A. M. F.</given-names>
</name>
<name>
<surname>Rialland</surname>
<given-names>A.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>Virtualization of food supply chains with the internet of things</article-title>. <source>J. Food Eng.</source> <volume>176</volume>, <fpage>128</fpage>&#x2013;<lpage>136</lpage>. <pub-id pub-id-type="doi">10.1016/j.jfoodeng.2015.11.009</pub-id>
</citation>
</ref>
<ref id="B66">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Vitrac</surname>
<given-names>O.</given-names>
</name>
<name>
<surname>Nguyen</surname>
<given-names>P. M.</given-names>
</name>
<name>
<surname>Hayert</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>
<italic>In silico</italic> prediction of food properties: A multiscale perspective</article-title>. <source>Front. Chem. Eng.</source> <volume>3</volume>, <fpage>786879</fpage>. <pub-id pub-id-type="doi">10.3389/fceng.2021.786879</pub-id>
</citation>
</ref>
<ref id="B67">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Welsh</surname>
<given-names>Z. G.</given-names>
</name>
<name>
<surname>Simpson</surname>
<given-names>M. J.</given-names>
</name>
<name>
<surname>Khan</surname>
<given-names>M. I. H.</given-names>
</name>
<name>
<surname>Karim</surname>
<given-names>A.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>A multiscale approach to estimate the cellular diffusivity during food drying</article-title>. <source>Biosyst. Eng.</source> <volume>212</volume>, <fpage>273</fpage>&#x2013;<lpage>289</lpage>. <pub-id pub-id-type="doi">10.1016/j.biosystemseng.2021.10.017</pub-id>
</citation>
</ref>
<ref id="B68">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wu</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Fang</surname>
<given-names>W. Z.</given-names>
</name>
<name>
<surname>Kang</surname>
<given-names>Q.</given-names>
</name>
<name>
<surname>Tao</surname>
<given-names>W. Q.</given-names>
</name>
<name>
<surname>Qiao</surname>
<given-names>R.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Predicting effective diffusivity of porous media from images by deep learning</article-title>. <source>Sci. Rep.</source> <volume>9</volume>, <fpage>20387</fpage>. <pub-id pub-id-type="doi">10.1038/s41598-019-56309-x</pub-id>
</citation>
</ref>
<ref id="B69">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Yin</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Guo</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Ma</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Jia</surname>
<given-names>L.</given-names>
</name>
<etal/>
</person-group> (<year>2022</year>). <article-title>Research progress in simultaneous heat and mass transfer of fruits and vegetables during precooling</article-title>. <source>Food Eng. Rev.</source> <volume>14</volume>, <fpage>307</fpage>&#x2013;<lpage>327</lpage>. <pub-id pub-id-type="doi">10.1007/s12393-022-09309-z</pub-id>
</citation>
</ref>
<ref id="B70">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhang</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Tang</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Koral</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Jiao</surname>
<given-names>Y.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Improved accuracy of radio frequency (RF) heating simulations using 3D scanning techniques for irregular-shape food</article-title>. <source>LWT</source> <volume>121</volume>, <fpage>108951</fpage>. <pub-id pub-id-type="doi">10.1016/j.lwt.2019.108951</pub-id>
</citation>
</ref>
</ref-list>
</back>
</article>