Numerical solution of metastatic tumor growth models with treatment
Year: 2024
Type: article
Abstract: In this paper we introduce an efficient numerical method in order to solve Volterra integral equations (VIE) of the second type. We are motivated by the fact that the coupled PDE-ODE model, used to describe the tumor metastatic growth, can be reformulated in terms of VIE, whose unknowns are biological observable, such as the cumulative number of metastases and the total metastatic mass. Here in particular we focused our attention on the 2D non autonomous case, where also the treatment is considered. After reformulating the model as a VIE and introducing and studying the numerical method, we first compare it with a method previously introduced by the authors in term of efficiency in the run time execution. Secondly, we present numerical results on the effectiveness of different treatment protocols on the total cumulative number of metastases and the total metastatic mass.
Authors: I.M. Bulai, M.C. De Bonis, C. Laurita
Language: English
Subfield: Modeling and Simulation
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,370
OpenAlex ID: W4401503296