<abstract xmlns="http://www.w3.org/1999/xhtml"><p>We present a mathematical analysis of a mixed ODE-PDE model describing the spatial distribution and temporal evolution of tumor and normal cells within a tissue subject to the effects of a chemotherapeutic drug. The model assumes that the influx of chemotherapy is restricted to a limited region of the tissue, mimicking a blood vessel passing transversely. We provide results on the existence and uniqueness of the model solution and numerical simulations illustrating different model behaviors.</p></abstract>

We present a mathematical analysis of a mixed ODE-PDE model describing the spatial distribution and temporal evolution of tumor and normal cells within a tissue subject to the effects of a chemotherapeutic drug. The model assumes that the influx of chemotherapy is restricted to a limited region of the tissue, mimicking a blood vessel passing transversely. We provide results on the existence and uniqueness of the model solution and numerical simulations illustrating different model behaviors.

An analysis of a mathematical model describing the growth of a tumor treated with chemotherapy

Universidade Federal de Viçosa - Campus Florestal

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

We present a mathematical analysis of a mixed ODE-PDE model describing the spatial distribution and temporal evolution of tumor and normal cells within a...

An analysis of a mathematical model describing the growth of a tumor treated with chemotherapy

Published Online: Oct 28, 2020

Page range: 185 - 204

Received: Sep 04, 2019

Accepted: Feb 07, 2019

DOI: https://doi.org/10.2478/amns.2020.2.00037

Keywords
Nonlinear system, existence of solutions, tumor growth, chemotherapeutic drug

© 2020 Anderson L. A. de Araujo et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

An analysis of a mathematical model describing the growth of a tumor treated with chemotherapy

Published Online: Oct 28, 2020

Page range: 185 - 204

Received: Sep 04, 2019

Accepted: Feb 07, 2019

DOI: https://doi.org/10.2478/amns.2020.2.00037

KeywordsNonlinear system, existence of solutions, tumor growth, chemotherapeutic drug

© 2020 Anderson L. A. de Araujo et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
Nonlinear system, existence of solutions, tumor growth, chemotherapeutic drug