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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Pediatr.</journal-id>
<journal-title-group>
<journal-title>Frontiers in Pediatrics</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Pediatr.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">2296-2360</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
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<article-meta>
<article-id pub-id-type="doi">10.3389/fped.2025.1604576</article-id>
<article-version article-version-type="Version of Record" vocab="NISO-RP-8-2008"/>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Original Research</subject>
</subj-group>
</article-categories>
<title-group>
<article-title>Longitudinal study on ultrasound assessment of peripheral arterial elasticity and liver stiffness for evaluating clinical intervention efficacy in children with obesity</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes" equal-contrib="yes">
<name><surname>Zheng</surname><given-names>Ning</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="corresp" rid="cor1">&#x002A;</xref>
<xref ref-type="author-notes" rid="an1"><sup>&#x2020;</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/3023361/overview"/>
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</contrib>
<contrib contrib-type="author" equal-contrib="yes">
<name><surname>Jiang</surname><given-names>Qiaosheng</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="author-notes" rid="an1"><sup>&#x2020;</sup></xref>
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<contrib contrib-type="author">
<name><surname>Zou</surname><given-names>Lizhen</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
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<contrib contrib-type="author">
<name><surname>Fang</surname><given-names>Xiaodan</given-names></name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
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</contrib>
<contrib contrib-type="author">
<name><surname>Zhang</surname><given-names>Yunjiao</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
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<aff id="aff1"><label>1</label><institution>Department of Ultrasound, Jinhua people&#x2019;s Hospital of Zhejiang</institution>, <city>Jinhua</city>, <state>Zhejiang</state>, <country country="cn">China</country></aff>
<aff id="aff2"><label>2</label><institution>Department of Radiology, Jinhua Central Hospital</institution>, <city>Jinhua</city>, <state>Zhejiang</state>, <country country="cn">China</country></aff>
<aff id="aff3"><label>3</label><institution>Department of Pediatrics, Jinhua people&#x2019;s Hospital of Zhejiang</institution>, <city>Jinhua Zhejiang</city>, <country country="cn">China</country></aff>
<author-notes>
<corresp id="cor1"><label>&#x002A;</label><bold>Correspondence:</bold> Ning Zheng <email xlink:href="mailto:Zhengning1020@163.com">Zhengning1020@163.com</email></corresp>
<fn fn-type="equal" id="an1"><label>&#x2020;</label><p>These authors have contributed equally to this work and share first authorship</p></fn>
</author-notes>
<pub-date publication-format="electronic" date-type="pub" iso-8601-date="2025-11-21"><day>21</day><month>11</month><year>2025</year></pub-date>
<pub-date publication-format="electronic" date-type="collection"><year>2025</year></pub-date>
<volume>13</volume><elocation-id>1604576</elocation-id>
<history>
<date date-type="received"><day>02</day><month>04</month><year>2025</year></date>
<date date-type="rev-recd"><day>11</day><month>11</month><year>2025</year></date>
<date date-type="accepted"><day>11</day><month>11</month><year>2025</year></date>
</history>
<permissions>
<copyright-statement>&#x00A9; 2025 Zheng, Jiang, Zou, Fang and Zhang.</copyright-statement>
<copyright-year>2025</copyright-year><copyright-holder>Zheng, Jiang, Zou, Fang and Zhang</copyright-holder><license><ali:license_ref start_date="2025-11-21">https://creativecommons.org/licenses/by/4.0/</ali:license_ref>
<license-p>This is an open-access article distributed under the terms of the <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution License (CC BY)</ext-link>. 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.</license-p></license>
</permissions>
<abstract><sec><title>Objective</title>
<p>To evaluate the efficacy of a multidisciplinary clinical intervention in children with obesity by longitudinally monitoring changes in vascular elasticity and liver stiffness via ultrasound-derived parameters.</p>
</sec><sec><title>Methods</title>
<p>A single-center longitudinal study was conducted on 120 children with obesity (aged 7&#x2013;14 years, BMI &#x2265;95th percentile). The participants underwent a 12-month intervention involving personalized low-calorie diets, structured aerobic exercise, and family-based cognitive&#x2013;behavioral therapy. Vascular parameters (carotid intima&#x2013;media thickness [IMT], flow-mediated dilation [FMD], elasticity coefficient [Ep], stiffness index [&#x03B2;], distensibility coefficient [CD], arterial compliance [AC]) and liver stiffness [shear wave velocity (SWV)] were assessed at baseline (T0), 6 months (T1), and 12 months (T2) via Siemens S2000 ultrasound with ARFI technology. Statistical analyses included repeated-measures ANOVA, Pearson correlation, and multivariate linear regression.</p>
</sec><sec><title>Results</title>
<p>Significant improvements were observed in FMD (7.1&#x0025;&#x2013;9.5&#x0025;, <italic>P</italic>&#x2009;&#x003C;&#x2009;0.001), Ep (60.5&#x2005;kPa&#x2013;42.3&#x2005;kPa, <italic>P</italic>&#x2009;&#x003C;&#x2009;0.001), &#x03B2; (6.25&#x2013;4.55, <italic>P</italic>&#x2009;&#x003C;&#x2009;0.001), CD (10.05&#x2005;kPa&#x2013;14.9&#x2005;kPa, <italic>P</italic>&#x2009;&#x003C;&#x2009;0.001), AC (0.96&#x2013;1.29&#x2005;mm<sup>2</sup>/kPa, <italic>P</italic>&#x2009;&#x003C;&#x2009;0.001), and SWV (1.36&#x2005;m/s&#x2013;0.98&#x2005;m/s, <italic>P</italic>&#x2009;&#x003C;&#x2009;0.001). The carotid IMT did not significantly change (<italic>&#x0394;</italic>&#x2009;&#x003D;&#x2009;&#x2212;0.01&#x2005;mm, <italic>P</italic>&#x2009;&#x003D;&#x2009;0.16). Multivariate regression identified <italic>&#x0394;</italic>BMI as an independent predictor of <italic>&#x0394;</italic>FMD (<italic>&#x03B2;</italic>&#x2009;&#x003D;&#x2009;0.32, <italic>P</italic>&#x2009;&#x003D;&#x2009;0.003) and <italic>&#x0394;</italic>SWV (<italic>&#x03B2;</italic>&#x2009;&#x003D;&#x2009;&#x2212;0.41, <italic>P</italic>&#x2009;&#x003C;&#x2009;0.001).</p>
</sec><sec><title>Conclusion</title>
<p>Ultrasound-based multiparameter assessment effectively quantifies improvements in vascular and hepatic function following clinical intervention in children with obesity.</p>
</sec>
</abstract>
<kwd-group>
<kwd>children with obesity</kwd>
<kwd>vascular elasticity</kwd>
<kwd>liver stiffness</kwd>
<kwd>ultrasound</kwd>
<kwd>clinical intervention</kwd>
</kwd-group><funding-group>
<funding-statement>The author(s) declare that no financial support was received for the research and/or publication of this article.</funding-statement>
</funding-group>
<counts>
<fig-count count="3"/>
<table-count count="8"/><equation-count count="0"/><ref-count count="26"/><page-count count="10"/><word-count count="2132132"/></counts><custom-meta-group><custom-meta><meta-name>section-at-acceptance</meta-name><meta-value>Pediatric Obesity</meta-value></custom-meta></custom-meta-group>
</article-meta>
</front>
<body><sec id="s1" sec-type="intro"><label>1</label><title>Introduction</title>
<p>The global epidemic of childhood obesity represents a major public health challenge, and its long-term associations with cardiovascular diseases and metabolic dysfunction-associated steatotic liver disease (MASLD) have drawn significant attention (<xref ref-type="bibr" rid="B1">1</xref>). According to the China Childhood Obesity Report, the prevalence of overweight and obesity among school-aged children in China is projected to reach 28&#x0025; by 2030 without timely intervention (<xref ref-type="bibr" rid="B2">2</xref>). Quantitative evidence demonstrates that obesity induces early tissue remodeling in multiple organ systems. For example, shear wave elastography has revealed 23&#x0025; higher meniscal stiffness in children with obesity than in their healthy-weight peers, indicating accelerated connective tissue degeneration (<xref ref-type="bibr" rid="B3">3</xref>). Children with obesity face not only early risks of atherosclerosis and hepatic steatosis but also significantly elevated rates of cardiovascular events and liver fibrosis in adulthood (<xref ref-type="bibr" rid="B4">4</xref>). Therefore, exploring effective tools for monitoring intervention outcomes is critical for delaying or reversing obesity-related complications.</p>
<p>Currently, the gold standard for assessing childhood obesity complications relies heavily on invasive procedures such as liver biopsy and angiography, yet their traumatic nature and operational risks limit their clinical application (<xref ref-type="bibr" rid="B5">5</xref>). Although carotid intima&#x2012;media thickness (IMT) and flow-mediated dilation (FMD) are widely used to evaluate vascular health (<xref ref-type="bibr" rid="B6">6</xref>), single parameters struggle to comprehensively reflect the complexity of arterial elasticity changes. Similarly, while liver stiffness measurement via transient elastography (FibroScan) is feasible (<xref ref-type="bibr" rid="B7">7</xref>), its accessibility and cost-effectiveness in pediatric populations remain controversial. In recent years, acoustic radiation force impulse (ARFI) imaging has emerged as a novel noninvasive and quantitative option for pediatric liver stiffness assessment (<xref ref-type="bibr" rid="B8">8</xref>), and multiparametric ultrasound analysis (e.g., elasticity coefficient Ep and stiffness &#x03B2;) offers new insights into dynamic vascular function monitoring (<xref ref-type="bibr" rid="B9">9</xref>). However, existing studies have focused predominantly on single-organ evaluations and lack systematic exploration of synergistic changes along the vascular&#x2012;liver axis.</p>
<p>This study employs a prospective cohort design to investigate dynamic changes in vascular and hepatic function among children with obesity undergoing multidisciplinary interventions, utilizing multiparametric ultrasound to establish quantitative associations between weight control and multisystem improvement.</p>
</sec>
<sec id="s2" sec-type="methods"><label>2</label><title>Materials and methods</title>
<sec id="s2a"><label>2.1</label><title>Study design</title>
<p>This non-randomized, self-controlled longitudinal study was designed to track within-participant changes following a standardized clinical intervention. Randomization was not employed as all eligible participants received the multidisciplinary intervention per hospital protocol. This single-center longitudinal study was conducted at the Pediatric Outpatient Department of Zhejiang Jinhua Municipal People&#x0027;s Hospital from March 2022 to December 2023. The study protocol was approved by the Ethics Committee of Zhejiang Jinhua Municipal People&#x0027;s Hospital (Approval No. 2023068). Given that the study involved only routine clinical interventions and noninvasive ultrasound monitoring, the ethics committee waived informed consent requirements. However, all participants and their guardians signed anonymized data usage authorization forms. The study adhered to the principles of the Declaration of Helsinki, with clinical data collected via a standardized electronic medical record system and patient privacy rigorously protected.</p>
<p>This single-center longitudinal study was conducted at&#x2009;&#x2026;&#x2009;patient privacy rigorously protected. Given the ethical constraints of withholding clinical intervention from children with obesity and the longitudinal nature of vascular maturation in children, a non-intervention control group was not included. To address potential confounding by natural growth, we compared observed changes with established pediatric reference values for vascular parameters and utilized repeated measurements to mitigate regression-to-mean effects.</p>
<p>To address missing data, multiple imputation (5 imputed datasets) was applied for continuous variables under the missing-at-random assumption, with baseline characteristics and adherence metrics as predictors. All analyses followed intention-to-treat principles.</p>
</sec>
<sec id="s2b"><label>2.2</label><title>Inclusion and exclusion criteria</title>
<p>Inclusion criteria:
<list list-type="order">
<list-item>
<p>Age 7&#x2013;14 years, meeting the Working Group on Obesity in China criteria (BMI &#x2265;95th percentile) (<xref ref-type="bibr" rid="B10">10</xref>);</p></list-item>
<list-item>
<p>Metabolic dysfunction-associated steatotic liver disease (MASLD) was confirmed by ultrasound according to the imaging criteria outlined in the Chinese Society of Hepatology Guidelines for Nonalcoholic Fatty Liver Disease (<xref ref-type="bibr" rid="B11">11</xref>).</p></list-item>
</list>Exclusion criteria:
<list list-type="order">
<list-item>
<p>Secondary obesity (e.g., endocrine disorders, genetic syndromes);</p></list-item>
<list-item>
<p>Comorbid diabetes, chronic liver diseases (viral hepatitis, autoimmune liver disease), or cardiovascular diseases (hypertension, congenital heart defects);</p></list-item>
<list-item>
<p>Use of metabolism- or weight-affecting medications (e.g., glucocorticoids, antipsychotics) within the past 6 months;</p></list-item>
<list-item>
<p>Severe systemic diseases or inability to comply with follow-up.</p></list-item>
</list></p>
</sec>
<sec id="s2c"><label>2.3</label><title>Interventions</title>
<p>All enrolled children with obesity received a 12-month multidisciplinary intervention.</p>
<p>Dietary intervention: Registered dietitians developed personalized low-calorie diet plans on the basis of individual basal metabolic rates and dietary habits, reducing total daily caloric intake by 20&#x0025; while optimizing macronutrient composition (increased dietary fiber, high-quality protein, and unsaturated fats; restricted added sugars and saturated fats). Compliance was monitored weekly via food diaries and nutritional analysis software, with dietary adherence quantified as: (1) proportion of days with completed food diaries (target &#x2265;5 days/week), and (2) percentage of weeks meeting caloric targets (&#x00B1;10&#x0025; of prescribed intake).</p>
<p>Exercise intervention: Rehabilitation specialists designed moderate-intensity aerobic exercise programs (e.g., brisk walking, swimming, cycling) that were conducted 5 times weekly (60&#x2005;min/session), targeting heart rates &#x2265;140&#x2005;bpm. Exercise intensity was progressively adjusted according to baseline fitness levels, with supervision by professional coaches to ensure safety and adherence. Exercise adherence was quantified as session attendance rate (sessions attended/total prescribed sessions), with target adherence set at &#x2265;80&#x0025;.</p>
<p>Behavioral therapy: Family-involved cognitive behavioral interventions included monthly group sessions covering self-monitoring skills (e.g., diet/exercise logging), goal setting, positive reinforcement strategies, and stress management. Interactive methods (role-playing, simulations) were supplemented with homework (e.g., &#x201C;Healthy Challenge Week&#x201D;) to reinforce behavioral changes. Parents participated in all the sessions and adjusted their home environments (e.g., reducing high-calorie snack availability). Additionally, the research team provided personalized guidance via monthly phone calls and instant messaging (WeChat) to address adherence issues (<xref ref-type="sec" rid="s11">Supplementary Table S1</xref>).</p>
</sec>
<sec id="s2d"><label>2.4</label><title>Data collection and measurements</title>
<p>Data collection was conducted at three time points: baseline (T0, preintervention), 6 months postintervention (T1), and 12 months postintervention (T2). All measurements were performed by uniformly trained medical staff following standardized protocols to minimize interoperator variability.</p>
<p>Ultrasound parameters: All ultrasound examinations were performed by a senior radiologist with over 10 years of experience in pediatric vascular ultrasonography. The examiner was certified by the Chinese Medical Doctor Association and the Chinese Society of Ultrasound Medicine, trained per standardized protocols (<xref ref-type="bibr" rid="B12">12</xref>). Measurements followed technical guidelines: (1) Fasting &#x003E;3&#x2005;h; (2) Supine position with right arm maximally abducted; (3) Probe perpendicular to liver capsule with light pressure; (4) Sampling depth 3&#x2013;6&#x2005;cm below Glisson&#x0027;s capsule, avoiding vessels &#x003E;3&#x2005;mm. A Siemens S2000 color Doppler ultrasound system (linear probe frequency: 10&#x2005;MHz; convex probe frequency: 4.5&#x2005;MHz) was used to measure the following parameters: carotid IMT: participants were placed in the supine position, and the IMT was measured at 12 sites (bilateral common carotid artery, bifurcation, and proximal/distal internal carotid artery), with the mean value calculated. FMD: The brachial artery was selected as the target vessel. The baseline diameter (Bd) and postreactive hyperemia diameter (Fd) were measured, and FMD was calculated as (Fd&#x2212;Bd)/Bd&#x2009;&#x00D7;&#x2009;100&#x0025;. Arterial elasticity parameters: Systolic pressure (Ps), diastolic pressure (Pd), and carotid artery diameter changes (Ds, Dd) were synchronously recorded to calculate the elasticity coefficient (Ep), stiffness &#x03B2;, distensibility coefficient (DC), and arterial compliance (AC). Liver stiffness measurement: Shear wave velocity (SWV) was measured using acoustic radiation force impulse (ARFI) imaging. Five measurements were taken in the right anterior liver lobe (while avoiding vascular structures), and the mean value was calculated and reported in m/s. Young&#x0027;s modulus (E) was calculated from SWV using the formula represents SWV (<xref ref-type="bibr" rid="B12">12</xref>), with results expressed in kilopascals (kPa). The representative image of liver elasticity measured by ARFI technology is shown in <xref ref-type="fig" rid="F1">Figure&#x00A0;1</xref>. Carotid artery ultrasound measurements for vascular elasticity assessment were performed as shown in <xref ref-type="sec" rid="s11">Supplementary Figure S1</xref>. The methodology for obtaining carotid artery parameters, including intima-media thickness and blood flow velocity measurements, is illustrated in <xref ref-type="sec" rid="s11">Supplementary Figure S2</xref>.</p>
<fig id="F1" position="float"><label>Figure&#x00A0;1</label>
<caption><p>Acoustic radiation force impulse (ARFI) elastography of liver in study participants. <bold>(A)</bold> Representative image showing liver stiffness measurement in an obese child with SWV of 1.25&#x2005;m/s, indicating increased liver stiffness. <bold>(B)</bold> Representative image showing liver stiffness measurement in a normal-weight child with SWV of 0.87&#x2005;m/s, demonstrating normal liver elasticity. SWV, shear wave velocity.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="fped-13-1604576-g001.tif"><alt-text content-type="machine-generated">Two ultrasound images labeled A and B display abdominal scans. Image A shows a measurement with a depth of 3.7 centimeters and speed of 1.25 meters per second. Image B has a measurement depth of 4.0 centimeters and speed of 0.87 meters per second. Both images are from a Siemens ultrasound machine with settings information visible on the right.</alt-text>
</graphic>
</fig>
<p>To assess measurement reliability, intra-observer and inter-observer reproducibility were evaluated for critical ultrasound parameters in a subset of 30 randomly selected participants who underwent duplicate scans by the same operator and a second blinded operator within 48&#x2005;h.</p>
<p>Clinical parameters: Weight and height: measured via a calibrated electronic stadiometer (model: SECA 284), with BMI calculated as weight (kg)/height (m<sup>2</sup>); blood pressure: measured three times via a standard cuff sphygmomanometer (Omron HEM-7121), with the mean value recorded; and lipid profile: fasting venous blood samples were analyzed for total cholesterol (TC), low-density lipoprotein cholesterol (LDL-C), and high-density lipoprotein cholesterol (HDL-C) via the hospital&#x0027;s central laboratory.</p>
<p>Data management and quality control: All the data were entered in real time via an electronic medical record (EMR) system, with dual independent verification to ensure accuracy. Ultrasound images and raw data were archived for review. Lipid measurements were validated through internal laboratory quality controls (coefficient of variation &#x003C;5&#x0025;).</p>
<p>Blinding procedures: Ultrasound operators were blinded to (1) participant identities (assigned anonymized IDs), (2) intervention time points (scans labeled only with study codes), and (3) clinical parameters (blood pressure/lipid results). Image analyses were performed on de-identified datasets using standardized protocols.</p>
</sec>
<sec id="s2e"><label>2.5</label><title>Statistical analysis</title>
<p>Data analysis was performed via SPSS 26.0. Missing data were handled via multiple imputation using chained equations (MICE) with 5 iterations, incorporating baseline covariates and observed follow-up data to preserve statistical power and reduce bias. Continuous variables are expressed as the mean&#x2009;&#x00B1;&#x2009;standard deviation (SD). The primary analysis employed paired t tests to compare changes in ultrasound parameters and clinical indicators pre- and postintervention, with a significance threshold of <italic>P</italic>&#x2009;&#x003C;&#x2009;0.05. The secondary analysis utilized multiple linear regression models, where <italic>&#x0394;</italic>FMD and <italic>&#x0394;</italic>SWV served as dependent variables and where <italic>&#x0394;</italic>BMI and <italic>&#x0394;</italic>systolic/diastolic blood pressure were independent variables. Adherence-outcome associations were assessed via linear regression models, with dietary/exercise adherence rates as covariates in sensitivity analyses of <italic>&#x0394;</italic>FMD and <italic>&#x0394;</italic>SWV. Adjustments were made for age, sex, and other potential confounders to evaluate independent associations (&#x03B2; coefficients and <italic>P</italic> values). Multicollinearity among independent variables (<italic>&#x0394;</italic>BMI, <italic>&#x0394;</italic>SBP, <italic>&#x0394;</italic>DBP, <italic>&#x0394;</italic>LDL-C) was assessed using variance inflation factors (VIF). The sensitivity analysis excluded 15 participants with postintervention weight rebound (BMI increase &#x2265;5&#x0025;) to verify the robustness of the results. All the statistical tests were two-tailed. Data normality was assessed via the Shapiro&#x2012;Wilk test, with nonnormal data analyzed via nonparametric tests (Mann&#x2012;Whitney <italic>U</italic>).</p>
</sec>
</sec>
<sec id="s3" sec-type="results"><label>3</label><title>Results</title>
<sec id="s3a"><label>3.1</label><title>Baseline characteristics</title>
<p>During the 12-month intervention period, 12 participants (10.0&#x0025;) were lost to follow-up due to relocation (<italic>n</italic>&#x2009;&#x003D;&#x2009;7), withdrawal of consent (<italic>n</italic>&#x2009;&#x003D;&#x2009;3), or inability to comply with scheduled visits (<italic>n</italic>&#x2009;&#x003D;&#x2009;2). The study enrolled 120 children with obesity, including 68 males (56.7&#x0025;) and 52 females (43.3&#x0025;). Baseline clinical and ultrasound parameters revealed a mean BMI of 28.4&#x2009;&#x00B1;&#x2009;3.1&#x2005;kg/m<sup>2</sup> and systolic and diastolic blood pressures of 125&#x2009;&#x00B1;&#x2009;8&#x2005;mmHg and 78&#x2009;&#x00B1;&#x2009;6&#x2005;mmHg, respectively, with total cholesterol (TC) and LDL-C levels exceeding normal pediatric reference ranges. Ultrasound measurements revealed an IMT of 0.58&#x2009;&#x00B1;&#x2009;0.05&#x2005;mm, FMD of 7.1&#x2009;&#x00B1;&#x2009;2.3&#x0025;, and SWV of 1.36&#x2009;&#x00B1;&#x2009;0.23&#x2005;m/s. Gender comparisons revealed no statistically significant differences in BMI, blood pressure, or ultrasound parameters between males and females (<italic>P</italic>&#x2009;&#x003E;&#x2009;0.05), confirming baseline homogeneity (<xref ref-type="table" rid="T1">Table&#x00A0;1</xref>).</p>
<table-wrap id="T1" position="float"><label>Table&#x00A0;1</label>
<caption><p>Baseline characteristics of the study cohort.</p></caption>
<table>
<thead>
<tr>
<th valign="top" align="left">Parameter</th>
<th valign="top" align="center">Total cohort (<italic>n</italic>&#x2009;&#x003D;&#x2009;120)</th>
<th valign="top" align="center">Male (<italic>n</italic>&#x2009;&#x003D;&#x2009;68)</th>
<th valign="top" align="center">Female (<italic>n</italic>&#x2009;&#x003D;&#x2009;52)</th>
<th valign="top" align="center">Statistic</th>
<th valign="top" align="center"><italic>P</italic> value</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left" colspan="6" style="background-color:#7e8080">Demographics</td>
</tr>
<tr>
<td valign="top" align="left">Age (years)</td>
<td valign="top" align="center">9.2&#x2009;&#x00B1;&#x2009;1.5</td>
<td valign="top" align="center">9.4&#x2009;&#x00B1;&#x2009;1.6</td>
<td valign="top" align="center">9.0&#x2009;&#x00B1;&#x2009;1.4</td>
<td valign="top" align="center"><italic>t</italic>&#x2009;&#x003D;&#x2009;1.34</td>
<td valign="top" align="center">0.18</td>
</tr>
<tr>
<td valign="top" align="left" colspan="6" style="background-color:#7e8080">Clinical Parameters</td>
</tr>
<tr>
<td valign="top" align="left">BMI (kg/m<sup>2</sup>)</td>
<td valign="top" align="center">28.4&#x2009;&#x00B1;&#x2009;3.1</td>
<td valign="top" align="center">28.6&#x2009;&#x00B1;&#x2009;3.3</td>
<td valign="top" align="center">28.1&#x2009;&#x00B1;&#x2009;2.8</td>
<td valign="top" align="center"><italic>t</italic>&#x2009;&#x003D;&#x2009;0.93</td>
<td valign="top" align="center">0.35</td>
</tr>
<tr>
<td valign="top" align="left">Systolic BP (mmHg)</td>
<td valign="top" align="center">125&#x2009;&#x00B1;&#x2009;8</td>
<td valign="top" align="center">126&#x2009;&#x00B1;&#x2009;9</td>
<td valign="top" align="center">124&#x2009;&#x00B1;&#x2009;7</td>
<td valign="top" align="center"><italic>t</italic>&#x2009;&#x003D;&#x2009;1.23</td>
<td valign="top" align="center">0.22</td>
</tr>
<tr>
<td valign="top" align="left">Diastolic BP (mmHg)</td>
<td valign="top" align="center">78&#x2009;&#x00B1;&#x2009;6</td>
<td valign="top" align="center">79&#x2009;&#x00B1;&#x2009;7</td>
<td valign="top" align="center">77&#x2009;&#x00B1;&#x2009;5</td>
<td valign="top" align="center"><italic>t</italic>&#x2009;&#x003D;&#x2009;1.61</td>
<td valign="top" align="center">0.11</td>
</tr>
<tr>
<td valign="top" align="left">TC (mmol/L)</td>
<td valign="top" align="center">4.8&#x2009;&#x00B1;&#x2009;0.9</td>
<td valign="top" align="center">4.7&#x2009;&#x00B1;&#x2009;0.8</td>
<td valign="top" align="center">4.9&#x2009;&#x00B1;&#x2009;1.0</td>
<td valign="top" align="center"><italic>t</italic>&#x2009;&#x003D;&#x2009;&#x2212;1.15</td>
<td valign="top" align="center">0.25</td>
</tr>
<tr>
<td valign="top" align="left">LDL-C (mmol/L)</td>
<td valign="top" align="center">3.1&#x2009;&#x00B1;&#x2009;0.7</td>
<td valign="top" align="center">3.0&#x2009;&#x00B1;&#x2009;0.6</td>
<td valign="top" align="center">3.2&#x2009;&#x00B1;&#x2009;0.8</td>
<td valign="top" align="center"><italic>t</italic>&#x2009;&#x003D;&#x2009;&#x2212;1.70</td>
<td valign="top" align="center">0.09</td>
</tr>
<tr>
<td valign="top" align="left" colspan="6" style="background-color:#7e8080">Ultrasonic Parameters</td>
</tr>
<tr>
<td valign="top" align="left">Carotid IMT (mm)</td>
<td valign="top" align="center">0.58&#x2009;&#x00B1;&#x2009;0.05</td>
<td valign="top" align="center">0.57&#x2009;&#x00B1;&#x2009;0.06</td>
<td valign="top" align="center">0.59&#x2009;&#x00B1;&#x2009;0.04</td>
<td valign="top" align="center"><italic>t</italic>&#x2009;&#x003D;&#x2009;&#x2212;1.83</td>
<td valign="top" align="center">0.07</td>
</tr>
<tr>
<td valign="top" align="left">FMD (&#x0025;)</td>
<td valign="top" align="center">7.1&#x2009;&#x00B1;&#x2009;2.3</td>
<td valign="top" align="center">7.3&#x2009;&#x00B1;&#x2009;2.5</td>
<td valign="top" align="center">6.8&#x2009;&#x00B1;&#x2009;2.1</td>
<td valign="top" align="center"><italic>t</italic>&#x2009;&#x003D;&#x2009;1.08</td>
<td valign="top" align="center">0.28</td>
</tr>
<tr>
<td valign="top" align="left">Ep (kPa)</td>
<td valign="top" align="center">60.5&#x2009;&#x00B1;&#x2009;11.1</td>
<td valign="top" align="center">61.2&#x2009;&#x00B1;&#x2009;10.8</td>
<td valign="top" align="center">59.7&#x2009;&#x00B1;&#x2009;11.5</td>
<td valign="top" align="center"><italic>t</italic>&#x2009;&#x003D;&#x2009;0.76</td>
<td valign="top" align="center">0.45</td>
</tr>
<tr>
<td valign="top" align="left">&#x03B2;</td>
<td valign="top" align="center">6.25&#x2009;&#x00B1;&#x2009;1.35</td>
<td valign="top" align="center">6.30&#x2009;&#x00B1;&#x2009;1.40</td>
<td valign="top" align="center">6.18&#x2009;&#x00B1;&#x2009;1.28</td>
<td valign="top" align="center"><italic>t</italic>&#x2009;&#x003D;&#x2009;0.48</td>
<td valign="top" align="center">0.63</td>
</tr>
<tr>
<td valign="top" align="left">CD (kPa)</td>
<td valign="top" align="center">10.05&#x2009;&#x00B1;&#x2009;0.33</td>
<td valign="top" align="center">10.10&#x2009;&#x00B1;&#x2009;0.30</td>
<td valign="top" align="center">9.98&#x2009;&#x00B1;&#x2009;0.36</td>
<td valign="top" align="center"><italic>t</italic>&#x2009;&#x003D;&#x2009;1.91</td>
<td valign="top" align="center">0.06</td>
</tr>
<tr>
<td valign="top" align="left">AC (mm<sup>2</sup>/kPa)</td>
<td valign="top" align="center">0.96&#x2009;&#x00B1;&#x2009;0.43</td>
<td valign="top" align="center">0.93&#x2009;&#x00B1;&#x2009;0.41</td>
<td valign="top" align="center">1.00&#x2009;&#x00B1;&#x2009;0.45</td>
<td valign="top" align="center"><italic>t</italic>&#x2009;&#x003D;&#x2009;&#x2212;0.88</td>
<td valign="top" align="center">0.38</td>
</tr>
<tr>
<td valign="top" align="left">SWV (m/s)</td>
<td valign="top" align="center">1.36&#x2009;&#x00B1;&#x2009;0.23</td>
<td valign="top" align="center">1.38&#x2009;&#x00B1;&#x2009;0.25</td>
<td valign="top" align="center">1.33&#x2009;&#x00B1;&#x2009;0.20</td>
<td valign="top" align="center"><italic>t</italic>&#x2009;&#x003D;&#x2009;1.11</td>
<td valign="top" align="center">0.27</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="TF1"><p>Data are presented as the means&#x2009;&#x00B1;&#x2009;standard deviations. Statistical analysis: Independent <italic>t</italic> tests were used for all the parameters (Shapiro&#x2012;Wilk tests confirmed normality).</p></fn>
<fn id="TF2"><p>BMI, body mass index; BP, blood pressure; TC, total cholesterol; LDL-C, low-density lipoprotein cholesterol; IMT, intima&#x2013;media thickness; FMD, flow-mediated dilation; Ep, elasticity coefficient; CD, distensibility coefficient; AC, arterial compliance; SWV, shear wave velocity.</p></fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s3b"><label>3.2</label><title>Changes in ultrasound parameters postintervention</title>
<sec id="s3b1"><label>3.2.1</label><title>Vascular structure and functional indicators</title>
<p>Longitudinal analysis across baseline (T0), 6 months (T1), and 12 months (T2) demonstrated phased improvements in vascular structure and function. The IMT slightly decreased from 0.58&#x2009;&#x00B1;&#x2009;0.05&#x2005;mm at T0 to 0.57&#x2009;&#x00B1;&#x2009;0.03&#x2005;mm at T2, but the overall change lacked statistical significance [F(2, 118)&#x2009;&#x003D;&#x2009;1.85, <italic>P</italic>&#x2009;&#x003D;&#x2009;0.16]. In contrast, FMD significantly improved from 7.1&#x2009;&#x00B1;&#x2009;2.3&#x0025; at T0 to 8.2&#x2009;&#x00B1;&#x2009;2.0&#x0025; at T1 and 9.5&#x2009;&#x00B1;&#x2009;2.1&#x0025; at T2, with a significant time main effect [F(2, 118)&#x2009;&#x003D;&#x2009;22.34, <italic>P</italic>&#x2009;&#x003C;&#x2009;0.001]. <italic>Post hoc</italic> tests (Bonferroni-adjusted) confirmed significant differences between T0 and T1 (<italic>P</italic>&#x2009;&#x003D;&#x2009;0.003) and between T0 and T2 (<italic>P</italic>&#x2009;&#x003C;&#x2009;0.001), indicating early vascular endothelial function improvement by 6 months (<xref ref-type="table" rid="T2">Table&#x00A0;2</xref> and <xref ref-type="fig" rid="F2">Figure&#x00A0;2</xref>).</p>
<table-wrap id="T2" position="float"><label>Table&#x00A0;2</label>
<caption><p>Longitudinal changes in vascular structural and functional parameters.</p></caption>
<table>
<thead>
<tr>
<th valign="top" align="left">Parameter</th>
<th valign="top" align="center">T0</th>
<th valign="top" align="center">T1</th>
<th valign="top" align="center">T2</th>
<th valign="top" align="center">Statistic</th>
<th valign="top" align="center"><italic>P</italic> value</th>
<th valign="top" align="center">Post hoc comparisons</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">IMT (mm)</td>
<td valign="top" align="center">0.58&#x2009;&#x00B1;&#x2009;0.05</td>
<td valign="top" align="center">0.57&#x2009;&#x00B1;&#x2009;0.04</td>
<td valign="top" align="center">0.57&#x2009;&#x00B1;&#x2009;0.03</td>
<td valign="top" align="center">F(2, 118)&#x2009;&#x003D;&#x2009;1.85</td>
<td valign="top" align="center">0.16</td>
<td valign="top" align="center">T0 vs. T1: <italic>P</italic>&#x2009;&#x003D;&#x2009;0.23</td>
</tr>
<tr>
<td valign="top" align="left">FMD (&#x0025;)</td>
<td valign="top" align="center">7.1&#x2009;&#x00B1;&#x2009;2.3</td>
<td valign="top" align="center">8.2&#x2009;&#x00B1;&#x2009;2.0</td>
<td valign="top" align="center">9.5&#x2009;&#x00B1;&#x2009;2.1</td>
<td valign="top" align="center">F(2, 118)&#x2009;&#x003D;&#x2009;22.34</td>
<td valign="top" align="center">&#x003C;0.001</td>
<td valign="top" align="center">T0 vs. T1: <italic>P</italic>&#x2009;&#x003D;&#x2009;0.003; T0 vs. T2: <italic>P</italic>&#x2009;&#x003C;&#x2009;0.001; T1 vs. T2: <italic>P</italic>&#x2009;&#x003D;&#x2009;0.04</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="TF3"><p>Data are presented as the means&#x2009;&#x00B1;&#x2009;standard deviations. Statistics: Repeated-measures ANOVA with Greenhouse&#x2013;Geisser correction (sphericity violated for FMD, <italic>&#x03B5;</italic>&#x2009;&#x003D;&#x2009;0.89). Post hoc: Bonferroni-adjusted pairwise comparisons.</p></fn>
<fn id="TF4"><p>IMT, Intima-media thickness; FMD, Flow-mediated dilation.</p></fn>
</table-wrap-foot>
</table-wrap>
<fig id="F2" position="float"><label>Figure&#x00A0;2</label>
<caption><p>Temporal changes in vascular structural and functional parameters during clinical intervention in children with obesity. The line chart shows the longitudinal trends of carotid intima&#x2013;media thickness (IMT) and flow-mediated dilation (FMD) at baseline (T0), 6 months (T1), and 12 months (T2) of intervention. The error bars represent the means&#x2009;&#x00B1;&#x2009;standard deviations. &#x002A;&#x002A;&#x002A;<italic>P</italic>&#x2009;&#x003C;&#x2009;0.001.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="fped-13-1604576-g002.tif"><alt-text content-type="machine-generated">Two side-by-side line graphs depict changes over three time points (T0, T1, T2). The left graph shows FMD (%) increasing from approximately 7% to over 10%. The right graph shows Carotid IMT (mm) slightly decreasing from around 0.6 mm. Error bars are included for both graphs.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s3b2"><label>3.2.2</label><title>Arterial elasticity indicators</title>
<p>Postintervention arterial elasticity parameters were markedly improved. Ep decreased from 60.5&#x2009;&#x00B1;&#x2009;11.1&#x2005;kPa at baseline to 52.3&#x2009;&#x00B1;&#x2009;10.2&#x2005;kPa at T1 and 42.3&#x2009;&#x00B1;&#x2009;9.8&#x2005;kPa at T2 [F(2, 118)&#x2009;&#x003D;&#x2009;38.72, <italic>P</italic>&#x2009;&#x003C;&#x2009;0.001]. &#x03B2; decreased from 6.25&#x2009;&#x00B1;&#x2009;1.35 to 4.55&#x2009;&#x00B1;&#x2009;1.25 at T2 [F(2, 118)&#x2009;&#x003D;&#x2009;24.15, <italic>P</italic>&#x2009;&#x003C;&#x2009;0.001], whereas CD and AC increased significantly from 10.05&#x2009;&#x00B1;&#x2009;0.33&#x2005;kPa to 14.9&#x2009;&#x00B1;&#x2009;0.43&#x2005;kPa [F(2, 118)&#x2009;&#x003D;&#x2009;112.6, <italic>P</italic>&#x2009;&#x003C;&#x2009;0.001] and 0.96&#x2009;&#x00B1;&#x2009;0.43&#x2005;mm<sup>2</sup>/kPa to 1.29&#x2009;&#x00B1;&#x2009;0.34&#x2005;mm<sup>2</sup>/kPa [F(2, 118)&#x2009;&#x003D;&#x2009;9.84, <italic>P</italic>&#x2009;&#x003C;&#x2009;0.001], respectively. <italic>Post hoc</italic> tests revealed significant improvements in Ep, &#x03B2;, and CD by T1 (<italic>P</italic>&#x2009;&#x003C;&#x2009;0.05), whereas AC improved only by T2 (<xref ref-type="table" rid="T3">Table&#x00A0;3</xref> and <xref ref-type="fig" rid="F3">Figure&#x00A0;3</xref>).</p>
<table-wrap id="T3" position="float"><label>Table&#x00A0;3</label>
<caption><p>Longitudinal changes in arterial elasticity parameters.</p></caption>
<table>
<thead>
<tr>
<th valign="top" align="left">Parameter</th>
<th valign="top" align="center">T0</th>
<th valign="top" align="center">T1</th>
<th valign="top" align="center">T2</th>
<th valign="top" align="center">Statistic</th>
<th valign="top" align="center"><italic>P</italic> value</th>
<th valign="top" align="center">Post hoc comparisons</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Ep (kPa)</td>
<td valign="top" align="center">60.5&#x2009;&#x00B1;&#x2009;11.1</td>
<td valign="top" align="center">52.3&#x2009;&#x00B1;&#x2009;10.2</td>
<td valign="top" align="center">42.3&#x2009;&#x00B1;&#x2009;9.8</td>
<td valign="top" align="center">F(2, 118)&#x2009;&#x003D;&#x2009;38.72</td>
<td valign="top" align="center">&#x003C;0.001</td>
<td valign="top" align="center">T0 vs. T1: <italic>P</italic>&#x2009;&#x003D;&#x2009;0.002; T0 vs. T2: <italic>P</italic>&#x2009;&#x003C;&#x2009;0.001; T1 vs. T2: <italic>P</italic>&#x2009;&#x003D;&#x2009;0.01</td>
</tr>
<tr>
<td valign="top" align="left">&#x03B2;</td>
<td valign="top" align="center">6.25&#x2009;&#x00B1;&#x2009;1.35</td>
<td valign="top" align="center">5.40&#x2009;&#x00B1;&#x2009;1.20</td>
<td valign="top" align="center">4.55&#x2009;&#x00B1;&#x2009;1.25</td>
<td valign="top" align="center">F(2, 118)&#x2009;&#x003D;&#x2009;24.15</td>
<td valign="top" align="center">&#x003C;0.001</td>
<td valign="top" align="center">T0 vs. T1: <italic>P</italic>&#x2009;&#x003D;&#x2009;0.03; T0 vs. T2: <italic>P</italic>&#x2009;&#x003C;&#x2009;0.001; T1 vs. T2: <italic>P</italic>&#x2009;&#x003D;&#x2009;0.04</td>
</tr>
<tr>
<td valign="top" align="left">CD (kPa)</td>
<td valign="top" align="center">10.05&#x2009;&#x00B1;&#x2009;0.33</td>
<td valign="top" align="center">12.8&#x2009;&#x00B1;&#x2009;0.38</td>
<td valign="top" align="center">14.9&#x2009;&#x00B1;&#x2009;0.43</td>
<td valign="top" align="center">F(2, 118)&#x2009;&#x003D;&#x2009;112.6</td>
<td valign="top" align="center">&#x003C;0.001</td>
<td valign="top" align="center">T0 vs. T1: <italic>P</italic>&#x2009;&#x003C;&#x2009;0.001; T0 vs. T2: <italic>P</italic>&#x2009;&#x003C;&#x2009;0.001; T1 vs. T2: <italic>P</italic>&#x2009;&#x003D;&#x2009;0.007</td>
</tr>
<tr>
<td valign="top" align="left">AC (mm<sup>2</sup>/kPa)</td>
<td valign="top" align="center">0.96&#x2009;&#x00B1;&#x2009;0.43</td>
<td valign="top" align="center">1.12&#x2009;&#x00B1;&#x2009;0.39</td>
<td valign="top" align="center">1.29&#x2009;&#x00B1;&#x2009;0.34</td>
<td valign="top" align="center">F(2, 118)&#x2009;&#x003D;&#x2009;9.84</td>
<td valign="top" align="center">&#x003C;0.001</td>
<td valign="top" align="center">T0 vs. T1: <italic>P</italic>&#x2009;&#x003D;&#x2009;0.12; T0 vs. T2: <italic>P</italic>&#x2009;&#x003C;&#x2009;0.001; T1 vs. T2: <italic>P</italic>&#x2009;&#x003D;&#x2009;0.04</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="TF5"><p>Data are presented as the means&#x2009;&#x00B1;&#x2009;standard deviations. Statistics: Repeated-measures ANOVA with Greenhouse&#x2013;Geisser correction. Post hoc: Bonferroni-adjusted pairwise comparisons.</p></fn>
<fn id="TF6"><p>Ep, elasticity coefficient; &#x03B2;, stiffness index; CD, distensibility coefficient; AC, arterial compliance.</p></fn>
</table-wrap-foot>
</table-wrap>
<fig id="F3" position="float"><label>Figure&#x00A0;3</label>
<caption><p>Longitudinal changes in arterial elasticity parameters during clinical intervention in children with obesity. The line chart illustrates the temporal trends of the elasticity coefficient (Ep), stiffness index (&#x03B2;), distensibility coefficient (CD), and arterial compliance (AC) at baseline (T0), 6 months (T1), and 12 months (T2) of multidisciplinary intervention. The error bars represent the means&#x2009;&#x00B1;&#x2009;standard deviations. Significant improvements were observed in Ep, &#x03B2;, CD, and AC over the 12-month intervention period (see <xref ref-type="table" rid="T3">Table&#x00A0;3</xref> for statistical details). &#x002A;&#x002A;&#x002A;<italic>P</italic>&#x2009;&#x003C;&#x2009;0.001.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="fped-13-1604576-g003.tif"><alt-text content-type="machine-generated">Four line graphs depict changes in parameter values over time points T0, T1, and T2. The top left graph shows an increase in AC (mm&#x00B2;/kPa). The top right graph shows an increase in CD (kPa). The bottom left graph indicates a decrease in Ep (kPa), and the bottom right graph shows a decrease in &#x03B2;. Error bars and significant differences, marked with asterisks, are present.</alt-text>
</graphic>
</fig>
</sec>
</sec>
<sec id="s3c"><label>3.3</label><title>Liver stiffness changes</title>
<p>Liver SWV and derived Young&#x0027;s modulus (E) significantly decreased after intervention. The baseline SWV (1.36&#x2009;&#x00B1;&#x2009;0.23&#x2005;m/s) and E (5.54&#x2009;&#x00B1;&#x2009;1.84&#x2005;kPa) indicated elevated liver stiffness. After 6 and 12 months of intervention, SWV decreased to 1.12&#x2009;&#x00B1;&#x2009;0.18&#x2005;m/s (E: 3.76&#x2009;&#x00B1;&#x2009;1.21&#x2005;kPa) and 0.98&#x2009;&#x00B1;&#x2009;0.12&#x2005;m/s (E: 2.88&#x2009;&#x00B1;&#x2009;0.71&#x2005;kPa), respectively, with significant time main effects [SWV: F<sub>(2118)</sub>&#x2009;&#x003D;&#x2009;48.15, <italic>P</italic>&#x2009;&#x003C;&#x2009;0.001; E: F<sub>(2118)</sub>&#x2009;&#x003D;&#x2009;46.32, <italic>P</italic>&#x2009;&#x003C;&#x2009;0.001], confirming time-dependent improvements in liver stiffness (<xref ref-type="table" rid="T4">Table&#x00A0;4</xref>).</p>
<table-wrap id="T4" position="float"><label>Table&#x00A0;4</label>
<caption><p>Longitudinal changes in liver stiffness (SWV).</p></caption>
<table>
<thead>
<tr>
<th valign="top" align="left">Parameter</th>
<th valign="top" align="center">T0</th>
<th valign="top" align="center">T1</th>
<th valign="top" align="center">T2</th>
<th valign="top" align="center">Statistic</th>
<th valign="top" align="center"><italic>P</italic> value</th>
<th valign="top" align="center">Post hoc comparisons</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">SWV (m/s)</td>
<td valign="top" align="center">1.36&#x2009;&#x00B1;&#x2009;0.23</td>
<td valign="top" align="center">1.12&#x2009;&#x00B1;&#x2009;0.18</td>
<td valign="top" align="center">0.98&#x2009;&#x00B1;&#x2009;0.12</td>
<td valign="top" align="center">F(2, 118)&#x2009;&#x003D;&#x2009;48.15</td>
<td valign="top" align="center">&#x003C;0.001</td>
<td valign="top" align="center">T0 vs. T1: <italic>P</italic>&#x2009;&#x003D;&#x2009;0.008; T0 vs. T2: <italic>P</italic>&#x2009;&#x003C;&#x2009;0.001; T1 vs. T2: <italic>P</italic>&#x2009;&#x003D;&#x2009;0.02</td>
</tr>
<tr>
<td valign="top" align="left">Young&#x0027;s modulus (kPa)</td>
<td valign="top" align="center">5.54&#x2009;&#x00B1;&#x2009;1.84</td>
<td valign="top" align="center">3.76&#x2009;&#x00B1;&#x2009;1.21</td>
<td valign="top" align="center">2.88&#x2009;&#x00B1;&#x2009;0.71</td>
<td valign="top" align="center">F(2, 118)&#x2009;&#x003D;&#x2009;46.32</td>
<td valign="top" align="center">&#x003C;0.001</td>
<td valign="top" align="center">T0 vs. T1: <italic>P</italic>&#x2009;&#x003D;&#x2009;0.01; T0 vs. T2: <italic>P</italic>&#x2009;&#x003C;&#x2009;0.001; T1 vs. T2: <italic>P</italic>&#x2009;&#x003D;&#x2009;0.03</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="TF7"><p>Data are presented as the means&#x2009;&#x00B1;&#x2009;standard deviations. Statistics: Repeated-measures ANOVA with Greenhouse&#x2013;Geisser correction (<italic>&#x03B5;</italic>&#x2009;&#x003D;&#x2009;0.91). Post hoc: Bonferroni-adjusted pairwise comparisons.</p></fn>
<fn id="TF8"><p>SWV, shear wave velocity.</p></fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s3d"><label>3.4</label><title>Interparameter correlation analysis</title>
<p>Correlations between changes in vascular function (<italic>&#x0394;</italic>FMD, <italic>&#x0394;</italic>Ep, <italic>&#x0394;</italic>&#x03B2;, <italic>&#x0394;</italic>CD, and <italic>&#x0394;</italic>AC) and liver stiffness (<italic>&#x0394;</italic>SWV) were analyzed. The <italic>&#x0394;</italic>FMD was significantly negatively correlated with the <italic>&#x0394;</italic>SWV (<italic>r</italic>&#x2009;&#x003D;&#x2009;&#x2212;0.46, <italic>P</italic>&#x2009;&#x003C;&#x2009;0.001), suggesting that vascular endothelial improvement is associated with a reduction in liver stiffness. Additionally, <italic>&#x0394;</italic>Ep (<italic>r</italic>&#x2009;&#x003D;&#x2009;0.38, <italic>P</italic>&#x2009;&#x003C;&#x2009;0.001) and <italic>&#x0394;</italic>&#x03B2; (<italic>r</italic>&#x2009;&#x003D;&#x2009;0.32, <italic>P</italic>&#x2009;&#x003D;&#x2009;0.001) were positively correlated with <italic>&#x0394;</italic>SWV. To account for potential confounding by weight change, partial correlation analyses adjusting for <italic>&#x0394;</italic>BMI were performed. After adjustment, <italic>&#x0394;</italic>FMD remained negatively correlated with <italic>&#x0394;</italic>SWV (r_partial&#x2009;&#x003D;&#x2009;&#x2212;0.35, <italic>P</italic>&#x2009;&#x003D;&#x2009;0.001), while <italic>&#x0394;</italic>Ep (r_partial&#x2009;&#x003D;&#x2009;0.28, <italic>P</italic>&#x2009;&#x003D;&#x2009;0.007) and <italic>&#x0394;</italic>&#x03B2; (r_partial&#x2009;&#x003D;&#x2009;0.24, <italic>P</italic>&#x2009;&#x003D;&#x2009;0.02) retained positive correlations with <italic>&#x0394;</italic>SWV. The associations for <italic>&#x0394;</italic>CD (r_partial&#x2009;&#x003D;&#x2009;&#x2212;0.15, <italic>P</italic>&#x2009;&#x003D;&#x2009;0.15) and <italic>&#x0394;</italic>AC (r_partial&#x2009;&#x003D;&#x2009;&#x2212;0.14, <italic>P</italic>&#x2009;&#x003D;&#x2009;0.18) became nonsignificant. These findings suggest that the deterioration of arterial elasticity parallels the progression of liver fibrosis (<xref ref-type="table" rid="T5">Table&#x00A0;5</xref>).</p>
<table-wrap id="T5" position="float"><label>Table&#x00A0;5</label>
<caption><p>Correlation analysis between vascular and hepatic parameters.</p></caption>
<table>
<thead>
<tr>
<th valign="top" align="left">Variable pair</th>
<th valign="top" align="center">Correlation coefficient (<italic>r</italic>)</th>
<th valign="top" align="center"><italic>P</italic> value</th>
<th valign="top" align="center">Adjusted r_partial (<italic>P</italic>)</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left"><italic>&#x0394;</italic>FMD vs. <italic>&#x0394;</italic>SWV</td>
<td valign="top" align="center">&#x2212;0.46</td>
<td valign="top" align="center">&#x003C;0.001</td>
<td valign="top" align="center">&#x2212;0.35 (0.001)</td>
</tr>
<tr>
<td valign="top" align="left"><italic>&#x0394;</italic>Ep vs. <italic>&#x0394;</italic>SWV</td>
<td valign="top" align="center">0.38</td>
<td valign="top" align="center">&#x003C;0.001</td>
<td valign="top" align="center">0.28 (0.007)</td>
</tr>
<tr>
<td valign="top" align="left"><italic>&#x0394;</italic>&#x03B2; vs. <italic>&#x0394;</italic>SWV</td>
<td valign="top" align="center">0.32</td>
<td valign="top" align="center">0.001</td>
<td valign="top" align="center">0.24 (0.02)</td>
</tr>
<tr>
<td valign="top" align="left"><italic>&#x0394;</italic>CD vs. <italic>&#x0394;</italic>SWV</td>
<td valign="top" align="center">&#x2212;0.28</td>
<td valign="top" align="center">0.004</td>
<td valign="top" align="center">&#x2212;0.15 (0.15)</td>
</tr>
<tr>
<td valign="top" align="left"><italic>&#x0394;</italic>AC vs. <italic>&#x0394;</italic>SWV</td>
<td valign="top" align="center">&#x2212;0.22</td>
<td valign="top" align="center">0.020</td>
<td valign="top" align="center">&#x2212;0.14 (0.18)</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="TF9"><p>Pearson correlation analysis was performed for bivariate relationships after confirming normality of all <italic>&#x0394;</italic>-parameters using Shapiro&#x2013;Wilk tests (all <italic>P</italic>&#x2009;&#x003E;&#x2009;0.05). Partial correlations (r_partial) were calculated through linear regression models adjusting for <italic>&#x0394;</italic>BMI to control for weight change effects.</p></fn>
<fn id="TF10"><p><italic>&#x0394;</italic>, change from baseline; FMD, flow-mediated dilation; Ep, elasticity coefficient; &#x03B2;, stiffness index; CD, distensibility coefficient; AC, arterial compliance; SWV, shear wave velocity.</p></fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s3e"><label>3.5</label><title>Multivariate linear regression analysis</title>
<p>Multivariate models adjusted for multicollinearity (VIF &#x003C;5 for all predictors) were used to assess the independent effects of weight change (<italic>&#x0394;</italic>BMI) and clinical indicators on vascular and hepatic improvements (<xref ref-type="table" rid="T6">Table&#x00A0;6</xref>). <italic>&#x0394;</italic>BMI independently predicted <italic>&#x0394;</italic>FMD (<italic>&#x03B2;</italic>&#x2009;&#x003D;&#x2009;0.32, <italic>P</italic>&#x2009;&#x003D;&#x2009;0.003) and <italic>&#x0394;</italic>SWV (<italic>&#x03B2;</italic>&#x2009;&#x003D;&#x2009;&#x2212;0.41, <italic>P</italic>&#x2009;&#x003C;&#x2009;0.001), indicating that weight loss directly enhances vascular repair and liver softening. <italic>&#x0394;</italic>SBP independently influenced <italic>&#x0394;</italic>Ep (<italic>&#x03B2;</italic>&#x2009;&#x003D;&#x2009;0.18, <italic>P</italic>&#x2009;&#x003D;&#x2009;0.04) and <italic>&#x0394;</italic>&#x03B2; (<italic>&#x03B2;</italic>&#x2009;&#x003D;&#x2009;0.15, <italic>P</italic>&#x2009;&#x003D;&#x2009;0.03), suggesting that blood pressure control partially mitigated arterial stiffening (<xref ref-type="table" rid="T7">Table&#x00A0;7</xref>).</p>
<table-wrap id="T6" position="float"><label>Table&#x00A0;6</label>
<caption><p>Variance inflation factors (VIF) for independent variables in multivariate regression models.</p></caption>
<table>
<thead>
<tr>
<th valign="top" align="left">Predictor</th>
<th valign="top" align="center"><italic>&#x0394;</italic>FMD model</th>
<th valign="top" align="center"><italic>&#x0394;</italic>SWV model</th>
<th valign="top" align="center"><italic>&#x0394;</italic>Ep model</th>
<th valign="top" align="center"><italic>&#x0394;</italic>&#x03B2; model</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left"><italic>&#x0394;</italic>BMI</td>
<td valign="top" align="center">1.82</td>
<td valign="top" align="center">1.95</td>
<td valign="top" align="center">1.78</td>
<td valign="top" align="center">1.80</td>
</tr>
<tr>
<td valign="top" align="left"><italic>&#x0394;</italic>SBP</td>
<td valign="top" align="center">2.10</td>
<td valign="top" align="center">&#x2013;</td>
<td valign="top" align="center">2.05</td>
<td valign="top" align="center">2.08</td>
</tr>
<tr>
<td valign="top" align="left"><italic>&#x0394;</italic>DBP</td>
<td valign="top" align="center">1.92</td>
<td valign="top" align="center">&#x2013;</td>
<td valign="top" align="center">1.88</td>
<td valign="top" align="center">1.90</td>
</tr>
<tr>
<td valign="top" align="left"><italic>&#x0394;</italic>LDL-C</td>
<td valign="top" align="center">1.75</td>
<td valign="top" align="center">&#x2013;</td>
<td valign="top" align="center">1.72</td>
<td valign="top" align="center">1.74</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="TF11"><p>VIF was computed for each predictor in the respective linear regression models listed in <xref ref-type="table" rid="T7">Table&#x00A0;7</xref>. VIF &#x003C;5 indicates no significant multicollinearity (VIF &#x2265;5 suggests critical collinearity). Dash (&#x2212;) denotes variables not included in the specific model.</p></fn>
</table-wrap-foot>
</table-wrap>
<table-wrap id="T7" position="float"><label>Table&#x00A0;7</label>
<caption><p>Multivariate linear regression analysis of parameter changes.</p></caption>
<table>
<thead>
<tr>
<th valign="top" align="left">Dependent variable</th>
<th valign="top" align="left">Independent variable</th>
<th valign="top" align="center">&#x03B2; coefficient</th>
<th valign="top" align="center">95&#x0025; CI</th>
<th valign="top" align="center"><italic>P</italic> value</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left" rowspan="3"><italic>&#x0394;</italic>FMD (&#x0025;)</td>
<td valign="top" align="left"><italic>&#x0394;</italic>BMI (&#x0025;)</td>
<td valign="top" align="center">0.32</td>
<td valign="top" align="center">0.18 to 0.46</td>
<td valign="top" align="center">0.003</td>
</tr>
<tr>
<td valign="top" align="left"><italic>&#x0394;</italic>SBP (mmHg)</td>
<td valign="top" align="center">&#x2212;0.12</td>
<td valign="top" align="center">&#x2212;0.25 to 0.01</td>
<td valign="top" align="center">0.07</td>
</tr>
<tr>
<td valign="top" align="left">Age (years)</td>
<td valign="top" align="center">&#x2212;0.08</td>
<td valign="top" align="center">&#x2212;0.21 to 0.05</td>
<td valign="top" align="center">0.23</td>
</tr>
<tr>
<td valign="top" align="left" rowspan="3"><italic>&#x0394;</italic>SWV (m/s)</td>
<td valign="top" align="left"><italic>&#x0394;</italic>BMI (&#x0025;)</td>
<td valign="top" align="center">&#x2212;0.41</td>
<td valign="top" align="center">&#x2212;0.55 to &#x2212;0.27</td>
<td valign="top" align="center">&#x003C;0.001</td>
</tr>
<tr>
<td valign="top" align="left"><italic>&#x0394;</italic>FMD (&#x0025;)</td>
<td valign="top" align="center">&#x2212;0.28</td>
<td valign="top" align="center">&#x2212;0.39 to &#x2212;0.17</td>
<td valign="top" align="center">0.004</td>
</tr>
<tr>
<td valign="top" align="left">Sex (male)</td>
<td valign="top" align="center">0.05</td>
<td valign="top" align="center">&#x2212;0.08 to 0.18</td>
<td valign="top" align="center">0.45</td>
</tr>
<tr>
<td valign="top" align="left" rowspan="3"><italic>&#x0394;</italic>Ep (kPa)</td>
<td valign="top" align="left"><italic>&#x0394;</italic>BMI (&#x0025;)</td>
<td valign="top" align="center">&#x2212;0.25</td>
<td valign="top" align="center">&#x2212;0.38 to &#x2212;0.12</td>
<td valign="top" align="center">0.001</td>
</tr>
<tr>
<td valign="top" align="left"><italic>&#x0394;</italic>SBP (mmHg)</td>
<td valign="top" align="center">0.18</td>
<td valign="top" align="center">0.02 to 0.34</td>
<td valign="top" align="center">0.04</td>
</tr>
<tr>
<td valign="top" align="left">Baseline Ep (kPa)</td>
<td valign="top" align="center">0.10</td>
<td valign="top" align="center">&#x2212;0.04 to 0.24</td>
<td valign="top" align="center">0.16</td>
</tr>
<tr>
<td valign="top" align="left" rowspan="3"><italic>&#x0394;</italic>&#x03B2;</td>
<td valign="top" align="left"><italic>&#x0394;</italic>BMI (&#x0025;)</td>
<td valign="top" align="center">&#x2212;0.19</td>
<td valign="top" align="center">&#x2212;0.31 to &#x2212;0.07</td>
<td valign="top" align="center">0.008</td>
</tr>
<tr>
<td valign="top" align="left"><italic>&#x0394;</italic>SBP (mmHg)</td>
<td valign="top" align="center">0.15</td>
<td valign="top" align="center">0.01 to 0.29</td>
<td valign="top" align="center">0.03</td>
</tr>
<tr>
<td valign="top" align="left">Baseline &#x03B2;</td>
<td valign="top" align="center">0.06</td>
<td valign="top" align="center">&#x2212;0.09 to 0.21</td>
<td valign="top" align="center">0.44</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="TF12"><p>All models used linear regression with forced entry method. Standardized &#x03B2; coefficients with 95&#x0025; confidence intervals are reported. Models were adjusted for age, sex, and baseline values of the respective dependent variables as covariates. Model diagnostics confirmed normality of residuals (Shapiro&#x2013;Wilk <italic>P</italic>&#x2009;&#x003E;&#x2009;0.05) and homoscedasticity (Breusch-Pagan <italic>P</italic>&#x2009;&#x003E;&#x2009;0.10).</p></fn>
<fn id="TF13"><p>&#x03B2;, standardized regression coefficient; CI, confidence interval; <italic>&#x0394;</italic>, change from baseline.</p></fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s3f"><label>3.6</label><title>Adherence-outcome relationships</title>
<p>Dietary adherence averaged 85.4&#x0025; (SD, 8.2&#x0025;) for diary completion and 78.2&#x0025; (SD, 9.5&#x0025;) for caloric targets. Exercise attendance was 89.6&#x0025; (SD, 7.3&#x0025;). Regression models demonstrated that higher dietary adherence predicted greater <italic>&#x0394;</italic>FMD (<italic>&#x03B2;</italic>&#x2009;&#x003D;&#x2009;0.24, <italic>P</italic>&#x2009;&#x003D;&#x2009;0.01) and <italic>&#x0394;</italic>SWV reduction (<italic>&#x03B2;</italic>&#x2009;&#x003D;&#x2009;&#x2212;0.19, <italic>P</italic>&#x2009;&#x003D;&#x2009;0.03), while exercise adherence independently associated with <italic>&#x0394;</italic>CD improvement (<italic>&#x03B2;</italic>&#x2009;&#x003D;&#x2009;0.18, <italic>P</italic>&#x2009;&#x003D;&#x2009;0.04) (<xref ref-type="table" rid="T8">Table&#x00A0;8</xref>).</p>
<table-wrap id="T8" position="float"><label>Table&#x00A0;8</label>
<caption><p>Association between intervention adherence and parameter changes.</p></caption>
<table>
<thead>
<tr>
<th valign="top" align="left">Adherence metric</th>
<th valign="top" align="center"><italic>&#x0394;</italic>FMD</th>
<th valign="top" align="center"><italic>&#x0394;</italic>SWV</th>
<th valign="top" align="center"><italic>&#x0394;</italic>CD</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Dietary diary completion</td>
<td valign="top" align="center"><italic>&#x03B2;</italic>&#x2009;&#x003D;&#x2009;0.15 (<italic>P</italic>&#x2009;&#x003D;&#x2009;0.12)</td>
<td valign="top" align="center"><italic>&#x03B2;</italic>&#x2009;&#x003D;&#x2009;&#x2212;0.11 (<italic>P</italic>&#x2009;&#x003D;&#x2009;0.25)</td>
<td valign="top" align="center"><italic>&#x03B2;</italic>&#x2009;&#x003D;&#x2009;0.09 (<italic>P</italic>&#x2009;&#x003D;&#x2009;0.35)</td>
</tr>
<tr>
<td valign="top" align="left">Caloric target achievement</td>
<td valign="top" align="center"><italic>&#x03B2;</italic>&#x2009;&#x003D;&#x2009;0.24 (<italic>P</italic>&#x2009;&#x003D;&#x2009;0.01)</td>
<td valign="top" align="center"><italic>&#x03B2;</italic>&#x2009;&#x003D;&#x2009;&#x2212;0.19 (<italic>P</italic>&#x2009;&#x003D;&#x2009;0.03)</td>
<td valign="top" align="center"><italic>&#x03B2;</italic>&#x2009;&#x003D;&#x2009;0.13 (<italic>P</italic>&#x2009;&#x003D;&#x2009;0.18)</td>
</tr>
<tr>
<td valign="top" align="left">Exercise attendance</td>
<td valign="top" align="center"><italic>&#x03B2;</italic>&#x2009;&#x003D;&#x2009;0.11 (<italic>P</italic>&#x2009;&#x003D;&#x2009;0.25)</td>
<td valign="top" align="center"><italic>&#x03B2;</italic>&#x2009;&#x003D;&#x2009;&#x2212;0.08 (<italic>P</italic>&#x2009;&#x003D;&#x2009;0.41)</td>
<td valign="top" align="center"><italic>&#x03B2;</italic>&#x2009;&#x003D;&#x2009;0.18 (<italic>P</italic>&#x2009;&#x003D;&#x2009;0.04)</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="TF14"><p>Linear regression models showing standardized &#x03B2; coefficients (<italic>P</italic>-values) for adherence-outcome relationships after adjustment for age, sex, and baseline BMI. Dietary diary completion: proportion of days with completed food diaries; Caloric achievement: percentage of weeks meeting caloric targets; Exercise attendance: session attendance rate. Significant associations (<italic>P</italic>&#x2009;&#x003C;&#x2009;0.05) are bolded.</p></fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s3g"><label>3.7</label><title>Sensitivity analysis</title>
<p>After 15 participants who experienced weight rebound (BMI increase&#x2009;&#x2265;&#x2009;5&#x0025;) after intervention were excluded, the improvement in the <italic>&#x0394;</italic>SWV further increased (&#x2212;0.45&#x2009;&#x00B1;&#x2009;0.07&#x2005;m/s vs. &#x2212;0.38&#x2009;&#x00B1;&#x2009;0.09&#x2005;m/s, <italic>t</italic>&#x2009;&#x003D;&#x2009;2.98, <italic>P</italic>&#x2009;&#x003D;&#x2009;0.004). The significant increase in the <italic>&#x0394;</italic>FMD (2.9&#x2009;&#x00B1;&#x2009;0.8&#x0025; vs. 2.5&#x2009;&#x00B1;&#x2009;0.9&#x0025;, <italic>t</italic>&#x2009;&#x003D;&#x2009;2.11, <italic>P</italic>&#x2009;&#x003D;&#x2009;0.04) and <italic>&#x0394;</italic>CD (4.9&#x2009;&#x00B1;&#x2009;0.4&#x2005;kPa vs. 4.5&#x2009;&#x00B1;&#x2009;0.5&#x2005;kPa, <italic>t</italic>&#x2009;&#x003D;&#x2009;2.34, <italic>P</italic>&#x2009;&#x003D;&#x2009;0.02) indicated that the main results were robust to weight rebound.</p>
</sec>
<sec id="s3h"><label>3.8</label><title>Measurement reliability</title>
<p>The intra-observer and inter-observer reliability for key ultrasound parameters were excellent. For carotid IMT, the intra-observer ICC was 0.92 (95&#x0025; CI: 0.87&#x2013;0.95) with a CV of 4.8&#x0025;, and the inter-observer ICC was 0.88 (95&#x0025; CI: 0.81&#x2013;0.93) with a CV of 6.3&#x0025;. For liver SWV, the intra-observer ICC was 0.94 (95&#x0025; CI: 0.90&#x2013;0.97) with a CV of 5.1&#x0025;, and the inter-observer ICC was 0.90 (95&#x0025; CI: 0.84&#x2013;0.94) with a CV of 7.2&#x0025;.</p>
</sec>
</sec>
<sec id="s4" sec-type="discussion"><label>4</label><title>Discussion</title>
<p>This study systematically evaluated vascular and hepatic functional changes in children with obesity following multidisciplinary intervention, revealing the positive impact of short-term lifestyle modifications on metabolic health. Although the IMT did not significantly change, improvements in FMD, arterial elasticity parameters, and SWV indicate that functional abnormalities can be reversed early in the intervention, whereas structural remodeling may require longer durations. These findings align with the high vascular plasticity observed in children (<xref ref-type="bibr" rid="B13">13</xref>) and suggest prioritizing functional indicators for clinical monitoring to assess intervention efficacy. For example, FMD significantly improved by 6 months postintervention, which is consistent with the findings of Seligman et al., who reported that lifestyle interventions enhance endothelial function in metabolic syndrome patients within 12 weeks (<xref ref-type="bibr" rid="B14">14</xref>). Notably, the simultaneous optimization of Ep, &#x03B2;, and CD further supports the sensitivity of arterial elasticity to weight changes, potentially mediated by reduced vascular wall stress and inflammation (<xref ref-type="bibr" rid="B15">15</xref>).</p>
<p>The marked reduction in liver stiffness demonstrated that weight control effectively alleviated hepatic steatosis and fibrosis. Studies suggest that obesity itself, independent of metabolic syndrome or insulin resistance, is a primary driver of liver stiffness (<xref ref-type="bibr" rid="B16">16</xref>). Sensitivity analysis revealed that the SWV improved after excluding patients with weight rebound, corroborating Reilly et al.&#x0027;s emphasis on sustained weight loss as pivotal for reversing hepatic pathology (<xref ref-type="bibr" rid="B17">17</xref>). Furthermore, the strong correlation between <italic>&#x0394;</italic>BMI and <italic>&#x0394;</italic>SWV (<italic>&#x03B2;</italic>&#x2009;&#x003D;&#x2009;&#x2212;0.41) supports the &#x201C;weight loss threshold hypothesis,&#x201D; suggesting that a BMI reduction &#x2265;10&#x0025; may serve as a critical trigger for multiorgan functional improvement (<xref ref-type="bibr" rid="B18">18</xref>).</p>
<p>Multivariate regression analysis underscores the central role of weight control. <italic>&#x0394;</italic>BMI independently predicted variations in <italic>&#x0394;</italic>FMD and <italic>&#x0394;</italic>SWV, highlighting its dominance in reversing metabolic abnormalities. However, the independent influence of <italic>&#x0394;</italic>SBP on arterial elasticity parameters (Ep, &#x03B2;) implies that blood pressure management should be combined with weight loss to optimize cardiovascular outcomes in children with baseline hypertension. This aligns with Lurbe et al.&#x0027;s findings that blood pressure control synergizes with weight reduction to enhance vascular elasticity (<xref ref-type="bibr" rid="B19">19</xref>). Additionally, the negative correlation between <italic>&#x0394;</italic>FMD and <italic>&#x0394;</italic>SWV (<italic>r</italic>&#x2009;&#x003D;&#x2009;&#x2212;0.46) suggests the existence of a vascular&#x2012;liver axis, potentially mediated by the systemic mitigation of inflammation or oxidative stress (<xref ref-type="bibr" rid="B20">20</xref>). For example, improvements in endothelial function may reduce the levels of circulating inflammatory factors, indirectly alleviating hepatic lipid accumulation (<xref ref-type="bibr" rid="B21">21</xref>). Importantly, the <italic>&#x0394;</italic>FMD-<italic>&#x0394;</italic>SWV and <italic>&#x0394;</italic>Ep/<italic>&#x0394;</italic>&#x03B2;-<italic>&#x0394;</italic>SWV correlations persisted after <italic>&#x0394;</italic>BMI adjustment, suggesting that the vascular-liver axis involves mechanisms beyond weight loss alone, potentially mediated by shared pathways such as systemic inflammation resolution (<xref ref-type="bibr" rid="B20">20</xref>) or oxidative stress reduction (<xref ref-type="bibr" rid="B21">21</xref>). The attenuation of <italic>&#x0394;</italic>CD/<italic>&#x0394;</italic>AC associations after adjustment implies these parameters may be more directly dependent on adiposity reduction.</p>
<p>Although <italic>&#x0394;</italic>BMI was identified as an independent predictor, it should be interpreted as a surrogate marker reflecting multifaceted physiological improvements rather than a direct causal mechanism. BMI reduction likely reflects synergistic benefits from reduced adiposity, improved metabolic inflammation, and hemodynamic alterations, factors inherently addressed by the multidisciplinary intervention (<xref ref-type="bibr" rid="B20">20</xref>, <xref ref-type="bibr" rid="B21">21</xref>). Future mechanistic studies measuring specific mediators (e.g., adipokines, inflammatory cytokines) are warranted to dissect these complex pathways.</p>
<p>The negative correlation between <italic>&#x0394;</italic>FMD (flow-mediated dilation) and <italic>&#x0394;</italic>SWV (shear wave velocity) suggests a link between vascular endothelial function and liver stiffness. Shared inflammatory and oxidative stress pathways, such as reductions in TNF-&#x03B1; and IL-6 following BMI reduction, may improve both FMD and SWV by enhancing endothelial nitric oxide synthase and suppressing hepatic stellate cell activation (<xref ref-type="bibr" rid="B22">22</xref>). Biomarkers like hs-CRP and adiponectin could quantify this link, as hs-CRP is associated with both arterial stiffness and liver fibrosis (<xref ref-type="bibr" rid="B23">23</xref>). Hemodynamic changes through the hepatic arterial buffer response (HABR) may also connect improvements in systemic vasodilation (FMD) with reduced liver stiffness (<xref ref-type="bibr" rid="B24">24</xref>). Finally, gut-derived endotoxins such as LPS may exacerbate both conditions, and interventions restoring gut microbiota may offer beneficial effects (<xref ref-type="bibr" rid="B25">25</xref>). Future research should integrate biomarker profiling and advanced imaging to confirm causality.</p>
<p>While retrospective controls (e.g., matched historical cohorts) could theoretically strengthen causal inference, three factors limited this approach: First, temporal variations in diagnostic criteria [e.g., updated pediatric MAFLD guidelines (<xref ref-type="bibr" rid="B11">11</xref>)] and ultrasound technologies (ARFI implementation timeline) reduced historical data comparability. Second, insufficient documented pre-intervention parameters (e.g., SWV, CD) in our electronic records precluded propensity scoring. Third, the integrated nature of the multidisciplinary intervention makes it difficult to isolate the effects of its individual components, even with a matched study design. Future studies could employ waitlist-controlled randomization or stepped-wedge designs to reconcile ethical and methodological requirements.</p>
<p>Regarding the nonsignificant IMT change, we acknowledge that structural remodeling may require longer interventions (<xref ref-type="bibr" rid="B26">26</xref>). Crucially, the absence of a control group necessitates caution in interpreting temporal changes. However, three factors mitigate confounding: (1) Vascular parameters (FMD, Ep) at baseline were markedly abnormal [vs. pediatric norms (<xref ref-type="bibr" rid="B6">6</xref>, <xref ref-type="bibr" rid="B9">9</xref>)], reducing regression-to-mean likelihood; (2) Natural maturation typically improves vascular function minimally [e.g., FMD increases &#x223C;0.5&#x0025;/year in healthy children (<xref ref-type="bibr" rid="B12">12</xref>)], whereas our cohort showed rapid gains (<italic>&#x0394;</italic>FMD&#x2009;&#x003D;&#x2009;2.4&#x0025; in 12 months); (3) Measurement variability was controlled via standardized protocols and high ICCs (0.88&#x2013;0.94).</p>
<p>Despite promising results, limitations exist. First, the single-center design and modest sample size may limit generalizability. Second, unmeasured confounders such as dietary composition and the gut microbiota could affect regression model interpretability. Third, the lack of long-term follow-up (&#x003E;2 years) precludes the assessment of IMT changes over time, as structural improvements in adults often require prolonged interventions (<xref ref-type="bibr" rid="B26">26</xref>). Fourth, the absence of a control group hinders the isolation of intervention effects from natural growth or environmental factors. Future studies should adopt multicenter designs, incorporate long-term follow-up, and explore molecular mechanisms (e.g., inflammatory biomarker profiling) to elucidate specific pathways underlying the vascular&#x2012;liver axis. Fifth, while the multidisciplinary intervention (diet, exercise, and behavioral therapy) was designed as an integrated clinical protocol to reflect real-world practice, we did not statistically isolate component-specific effects due to potential synergistic interactions and limited power for subgroup analyses. Future mechanistic studies with factorial designs are warranted to delineate individual contributions. Finally, although <italic>&#x0394;</italic>BMI statistically predicted improvements in vascular and hepatic parameters, our models did not fully capture unmeasured confounders (e.g., dietary micronutrients, gut microbiota shifts) that may contribute to observed outcomes. This underscores the need to interpret BMI reduction as an integrated marker of metabolic health rather than an isolated driver.</p>
<p>In conclusion, multiparametric ultrasound evaluation provides a reliable tool for dynamic monitoring of intervention efficacy in children with obesity, with weight control remaining the cornerstone of clinical practice. Future research should investigate long-term patterns of arterial structural remodeling and develop individualized strategies for children with distinct baseline profiles, such as intensified blood pressure management for hypertensive patients or behavioral intervention support for families with low adherence.</p>
</sec>
</body>
<back>
<sec id="s5" sec-type="data-availability"><title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/<xref ref-type="sec" rid="s11">Supplementary Material</xref>, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="s6" sec-type="ethics-statement"><title>Ethics statement</title>
<p>The studies involving humans were approved by the Ethics Committee of Zhejiang Jinhua Municipal People&#x0027;s Hospital. The studies were conducted in accordance with the local legislation and institutional requirements. Written informed consent for participation in this study was provided by the participants&#x0027; legal guardians/next of kin.</p>
</sec>
<sec id="s7" sec-type="author-contributions"><title>Author contributions</title>
<p>NZ: Conceptualization, Formal analysis, Investigation, Writing &#x2013; original draft, Writing &#x2013; review &#x0026; editing. QJ: Data curation, Methodology, Visualization, Writing &#x2013; original draft, Writing &#x2013; review &#x0026; editing. LZ: Methodology, Resources, Writing &#x2013; original draft. XF: Software, Writing &#x2013; original draft. YZ: Supervision, Writing &#x2013; original draft.</p>
</sec>
<sec id="s9" sec-type="COI-statement"><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>
</sec>
<sec id="s10" sec-type="ai-statement"><title>Generative AI statement</title>
<p>The author(s) declare that no Generative AI was used in the creation of this manuscript.</p>
<p>Any alternative text (alt text) provided alongside figures in this article has been generated by Frontiers with the support of artificial intelligence and reasonable efforts have been made to ensure accuracy, including review by the authors wherever possible. If you identify any issues, please contact us.</p>
</sec>
<sec id="s12" sec-type="disclaimer"><title>Publisher&#x0027;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>
<sec id="s11" sec-type="supplementary-material"><title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fped.2025.1604576/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fped.2025.1604576/full&#x0023;supplementary-material</ext-link></p>
<supplementary-material xlink:href="Table1.docx" id="SM1" mimetype="application/vnd.openxmlformats-officedocument.wordprocessingml.document"/>
<supplementary-material xlink:href="Datasheet1.docx" id="SM2" mimetype="application/vnd.openxmlformats-officedocument.wordprocessingml.document"/>
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<fn-group>
<fn id="n1" fn-type="custom" custom-type="edited-by"><p>Edited by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/69796/overview">Andrew S. Day</ext-link>, University of Otago, Christchurch, New Zealand</p></fn>
<fn id="n2" fn-type="custom" custom-type="reviewed-by"><p>Reviewed by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/630951/overview">Hongkui Yu</ext-link>, Guangzhou Medical University, China</p>
<p><ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3074564/overview">Nurullah Da&#x011F;</ext-link>, &#x0130;n&#x00F6;n&#x00FC; University, T&#x00FC;rkiye</p></fn>
</fn-group>
</back>
</article>