A new MATLAB software for numerical computation of biological observables for metastatic tumor growth

Iulia Martina Bulai, Maria Carmela De Bonis and Concetta Laurita

Mathematics and Computers in Simulation (MATCOM), 2025, vol. 234, issue C, 31-49

Abstract: In this paper a new MATLAB Toolbox is introduced, Metastatic Tumor Growth Modeling (MTGM). MTGM Toolbox is freely available on a GitHub repository https://github.com/IuliaMartinaBulai/MTGM_Toolbox and equips the researchers with five different functionalities. The first one refers to the numerical resolution of a general Volterra Integral Equation (VIE) of the second kind on the positive semiaxis while the last four ones to the computation of biological observables related to metastatic tumor growth models. In particular, the computed observables are the cumulative number of metastases (CNM) and the total metastatic mass (TMM) derived from: (i) a 1D metastatic tumor growth (t.g.) model where the analytical solution of the ODE describing the t.g. law is known, (ii) a 1D model where this solution has to be numerically computed, (iii) a 2D non-autonomous metastatic t.g. model where also the treatment is considered, (iv) a 2D autonomous model, i.e., in the absence of therapies. Moreover, the Toolbox implementation was designed in order to give the users the possibility to extend its functionalities.

Keywords: Metastatic tumor growth; PDEs; Volterra integral equation; Nyström method (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:234:y:2025:i:c:p:31-49

DOI: 10.1016/j.matcom.2025.02.014

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