Моделювання та числове дослідження росту ракових пухлин
This paper investigates the numerical solution of the problem of proliferative tumor growth using a model described by an initial-boundary differential formulation in a two-dimensional environment, as proposed in the monograph [4]. The problem involves finding the distribution functions of nutrient...
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| Date: | 2024 |
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| Main Authors: | , , |
| Format: | Article |
| Published: |
Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine
2024
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| Subjects: | |
| Online Access: | http://journals.iapmm.lviv.ua/ojs/index.php/APMM/article/view/apmm2024.22.46-52 |
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| Journal Title: | Prykladni Problemy Mekhaniky i Matematyky |
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Prykladni Problemy Mekhaniky i Matematyky| Summary: | This paper investigates the numerical solution of the problem of proliferative tumor growth using a model described by an initial-boundary differential formulation in a two-dimensional environment, as proposed in the monograph [4]. The problem involves finding the distribution functions of nutrient substrate concentration and partial pressure, which determine the tumor boundary's growth rate [5–6]. The solution algorithm is based on combining the moving boundary method and the finite element method. A Python program with a user-friendly interface has been developed to implement the proposed approach, allowing input data to be specified in various forms to describe the research domain. A series of experiments with tumors of different shapes were conducted, demonstrating the a posteriori convergence of the numerical solutions. Cite as: L. M. Diakoniuk, T. M. Nykolyshyn, S. B. Krasichynskyi , “Modeling and numerical investigation of cancer tumor growth,” Prykl. Probl. Mekh. Mat., Issue 22, 46–52 (2024) (in Ukrainian), https://doi.org/10.15407/apmm2024.22.46-52 |
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