Work

Generalized Hamiltonian and Lagrangian aspects of a model for virus–tumor interaction in oncolytic virotherapy

Year: 2024

Type: article

Abstract: We analyze the generalized Hamiltonian structure of a system of first‐order ordinary differential equations for the Jenner et al. system (Letters in Biomathematics 5 (2018), no. S1, S117–S136). The system of equations is used for modeling the interaction of an oncolytic virus with a tumor cell population. Our analysis is based on the existence of a Jacobi last multiplier and a time‐dependent first integral. Suitable conditions on the model parameters allow for the reduction of the problem to a planar system of equations, and the time‐dependent Hamiltonian flows are described. The geometry of the Hamiltonian flows is also investigated using the symplectic and cosymplectic methods.

Source: Mathematical Methods in the Applied Sciences

DOI: 10.1002/mma.10538

Authors: Partha Guha, Anindya Ghose‐Choudhury

Institutions: Khalifa University of Science and Technology, Diamond Harbour Women's University

Language: English

Topic: Mathematical Biology Tumor Growth

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $4,760

Funder: Khalifa University of Science, Technology and Research