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    <journal-meta>
      <journal-id journal-id-type="publisher-id">journal-of-obesity-research</journal-id>
      <journal-title-group>
        <journal-title>Journal of Obesity Research</journal-title>
      </journal-title-group>
      <issn publication-format="electronic">2995-6358</issn>
      <publisher>
        <publisher-name>Directive Publications</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.52338/jobr.2024.1001</article-id>
      <article-categories><subj-group subj-group-type="heading"><subject>Research</subject></subj-group></article-categories>
      <title-group>
        <article-title>Pancreatic tumor growth prediction based on multimodal imagery</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <name>
            <surname>Sciences</surname>
            <given-names>Imaging</given-names>
          </name>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Institute</surname>
            <given-names>National</given-names>
          </name>
        </contrib>
      </contrib-group>
      <pub-date publication-format="electronic" date-type="pub">
        <day>19</day>
        <month>06</month>
        <year>2026</year>
      </pub-date>
      <permissions>
        <copyright-statement>© 2026 The Author(s). Published by Directive Publications.</copyright-statement>
        <license license-type="open-access" xlink:href="https://creativecommons.org/licenses/by/4.0/">
          <license-p>This is an open-access article distributed under the terms of the Creative Commons Attribution 4.0 International License (CC-BY 4.0).</license-p>
        </license>
      </permissions>
      <abstract>
        <p>Personalized tumour growth model is efficacious in tumour staging and medical care coming up with. during this paper, we tend to gift a patient specific tumour growth model supported longitudinal multimodal imaging knowledge as well as dual-phase CT and FDG-PET. The model was evaluated by examination the anticipated tumours with the determined tumors in terms of animate thing volume fraction of tumor surface on six patients with pathologically confirmed duct gland system tumors, and therefore the results incontestable the promise of the planned technique. Short Communication</p>
        <p>introduced to regularize the answer. The optimality system comes and resolved by the Finite distinction technique (FDM). The planned tumour growth prediction technique includes 2 parts: parameter estimation and analysis. we tend to introduce animate thing volume fraction (ICVF) because the biomarker for each model parameter estimation and analysis. within the parameter estimation half, ICVF calculation takes longitudinal dual-phase CT pictures as inputs. At whenever purpose, ICVF is measured supported pre- and post-contrast CT pictures. The measured ICVF at the first follow-up is compared with the anticipated ICVF growing from the bottom line to search out the optimum parameters by minimizing the deviation between the 2 ICVF maps. Once the model parameter is calculable, the tumour grows from the first follow-up with calculable model parameter. the anticipated ICVF and therefore the extracted tumour surface area unit compared with the measured ICVF and tumour surface at the ordinal follow-up for analysis. RESULTS To study growth growth, we’ve got developed an obsessive protocol spanning for many years to gather patients with exocrine gland system tumors. The fascinating longitudinal knowledge has to satisfy the requirements: 1) the growth ought to be sufficiently big (volume &gt; 20mm3) to permit North American country to ignore the error iatrogenic by segmentation and re</p>
      </abstract>
    </article-meta>
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      <p>Introduction Quantitatively characterizing the tumour spatial-temporal progression is efficacious in staging tumour and coming up with optimum treatment ways. actress et al. (2000) conferred a tumour growth model beneath the belief of associate infiltrative growth of the tumour cells, whereas considering variations in cell diffusion in white and grey matter. Clatz et al. (2005) sculptural regionally aeolotropic migration patterns by integration info from diffusion tensor pictures (DTI). Hogea et al. (2008) enclosed the mechanical properties of the lesion on close structures to model mass result. during this paper, we tend to conferred a comprehensive tumour growth model mistreatment multimodal imaging knowledge. The planned model was evaluated on duct gland system tumors.</p>
      <p>a zealous protocol was developed to accumulate longitudinal CT and FDG-PET of untreated duct gland tumors. the sole work on the duct gland tumour modeling that we tend to area unit tuned in to is that the work conferred by (Haeno et al., 2012), during which the authors used a compartment model to divide the cell population into 3 subpopulations: primary tumour cells, metastasis- enabled cells, and metastasized cells. MATERIAL AND STRATEGIES The planned model is formalized as a coupled partial equation (PDE) system (a forward problem). The patient specific parameters (control variables) area unit calculable by fitting the model prediction to the determined tumour resulting in a coupled PDE-constrained optimisation drawback (an inverse problem).</p>
      <p>to get realistic answer, Tikhonov regularization is 1 Copyright © Yixun Liu Abstract Personalized tumour growth model is efficacious in tumour staging and medical care coming up with. during this paper, we tend to gift a patient specific tumour growth model supported longitudinal multimodal imaging knowledge as well as dual-phase CT and FDG-PET. The model was evaluated by examination the anticipated tumours with the determined tumors in terms of animate thing volume fraction of tumor surface on six patients with pathologically confirmed duct gland system tumors, and therefore the results incontestable the promise of the planned technique. introduced to regularize the answer. The optimality system comes and resolved by the Finite distinction technique (FDM).</p>
      <p>The planned tumour growth prediction technique includes 2 parts: parameter estimation and analysis. we tend to introduce animate thing volume fraction (ICVF) because the biomarker for each model parameter estimation and analysis. within the parameter estimation half, ICVF calculation takes longitudinal dual-phase CT pictures as inputs. At whenever purpose, ICVF is measured supported pre- and post-contrast CT pictures. The measured ICVF at the first follow-up is compared with the anticipated ICVF growing from the bottom line to search out the optimum parameters by minimizing the deviation between the 2 ICVF maps. Once the model parameter is calculable, the tumour grows from the first follow-up with calculable model parameter. the anticipated ICVF and therefore the extracted tumour surface area unit compared with the measured ICVF and tumour surface at the ordinal follow-up for analysis.</p>
      <p>Results To study growth growth, we’ve got developed an obsessive protocol spanning for many years to gather patients with exocrine gland system tumors. The fascinating longitudinal knowledge has to satisfy the requirements: 1) the growth ought to be sufficiently big (volume &gt; 20mm3) to permit North American country to ignore the error iatrogenic by segmentation and registration, 2) a minimum of 3 time purposes and every time point includes each dualphase CT and FDG-PET, and 3) with none treatments. Usually, a growth are surgically removed once it becomes sufficiently huge. The contradictive necessities 1) and 3) cause the issue to get fascinating knowledge (Figure 1). We evaluated the planned model by comparison the anticipated ICFV map with the measured ICVF map at the second followup.</p>
      <p>the anticipated ICVF map was made by growing the ICVF from first|the first} follow-up for the amount between the first and second follow-up with the parameters calculable from the longitudinal knowledge at the baseline and also the 1st followup. ANticipated|the expected} growth is an isosurface extracted from the anticipated ICVF map supported a threshold. The left facet of Figure one shows the longitudinal post- distinction CT and FDG-PET. the proper facet of Figure one shows the reference ICVF map and also the expected ICVF map. the anticipated ICVF map has quite similar ICVF distribution because the reference ICVF map by visual review. Quantitatively, the typical ICVF distinction between them is a pair of.6 0.8% for 6 patients.</p>
      <p>CONCLUSIONS AND FUTURE WORK In this paper, we tend to given a growth growth model, that is characterised by being driven by routine clinical imaging knowledge supported ICVF. The experiment on exocrine gland system tumors incontestable the promise of the planned model. apart from the characteristics of growth itself like the aggressivenessmeasuredbytherate,growthmicroenvironment is additionall essential for the study of growth growth. within the future, besides dual- section CT and FDG-PET, we’ll introduce DCE-MRI to live vasculature/perfusion regions and FMISO-PET to live drive regions so as to model growth microenvironment.</p>
      <p>REFERENCES</p>
      <p>1. Swanson KR, Alvord EC Jr, Murray JD. A quantitative model for differential motility of gliomas in grey and white matter. Cell Prolif. 2000; 33: 317-329.</p>
      <p>2. Clatz O, Sermesant M, Bondiau PY, Delingette H, Warfield SK, Malandain G, et al. Realistic simulation of the 3-D growth of brain tumors in MR images coupling diffusion with biomechanical deformation. IEEE Trans Med Imaging. 2005; 24: 1334-1346.</p>
      <p>3. Hogea C, Davatzikos C, Biros G. An image-driven parameter estimation problem for a reaction-diffusion glioma growth model with mass effects. J Math Biol. 2008; 56: 793-825.</p>
      <p>4. Haeno H, Gonen M, Davis MB, Herman JM, Iacobuzio- Donahue CA, Michor F. Computational modeling of pancreatic cancer reveals kinetics of metastasis suggesting optimum treatment strategies. Cell. 2012; 148: 362-375. 2 Copyright © Yixun Liu</p>
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