Work

On a mathematical model of the influence of memory on cancer treatment using gene therapy

Year: 2024

Type: article

Abstract: Cancer is one of the diseases that causes the most deaths in the world. Gene therapy is a recent alternative technique that has shown good clinical results in the treatment of gene changes and mutations caused by cancer. In this work, we will study the effects of gene therapy treatment by adding the hypothesis of the existence of immunological memory to the dynamics of cancer propagation through the introduction of multi-fractional order derivatives in the mathematical modeling for the problem. From a theoretical point of view, we will prove that the problem is well-posed in Hadamard's sense. We present numerical simulations for different scenarios, which demonstrate evidence that patients' previous contact with the virus involved in gene therapy can harm the effectiveness of the treatment.

Source: Ciência e Natura

DOI: 10.5902/2179460x86886

Authors: Gerson Freitas Luz, Adriano De Cezaro

Institution: Universidade Federal do Rio Grande

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: diamond

Funder: Coordenação de Aperfeiçoamento de Pessoal de Nível Superior