Work

Analysis of a Radiotherapy Model for Brain Tumors

Year: 2025

Type: article

Abstract: ABSTRACT In this work, we focus on the analytical and numerical study of a mathematical model for brain tumors undergoing radiotherapy treatment. Under certain assumptions regarding the given data in the model, we prove the existence and uniqueness of a weak nonnegative (biologically relevant) solution. Then, we show how the additional regularity of initial data affects the regularity of these solutions. Besides, we analyze the optimal control of the advection coefficient which tunes the radiotherapy effect on the tumor cell population. We also complement our analytical results with relevant numerical simulations.

Source: Studies in Applied Mathematics

DOI: 10.1111/sapm.70074

Authors: Marina Chugunova, Hangjie Ji, Roman Taranets, Nataliya Vasylyeva

Institutions: Claremont Graduate University, North Carolina State University, Institute of Applied Mathematics and Mechanics, S.P. Timoshenko Institute of Mechanics, Politecnico di Milano

Language: English

Topic: Mathematical Biology Tumor Growth

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

SDG: Good health and well-being

Open Access status: hybrid

Estimated APC paid: $4,550