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Reduction and Hamiltonian aspects of a model for virus-tumour interaction in oncolytic virotherapy by Ghose-Choudhury, Anindya; Guha, Partha is a scholarly article available to read on EtoBox.

What is Reduction and Hamiltonian aspects of a model for virus-tumour interaction in oncolytic virotherapy about?

We analyse the Hamiltonian structure of a system of first-order ordinary differential equations used for modeling the interaction of an oncolytic virus with a tumour cell population. The analysis is based on the existence of a Jacobi Last Multiplier for the system and a time dependent first integral. For suitable conditions on the model parameters this allows for the reduction of the problem to a planar system of equations for which the time dependent Hamiltonian flows are described. The geometry of the Hamiltonian flows are finally investigated using the symplectic and cosymplectic methods.

Author

Ghose-Choudhury, Anindya; Guha, Partha

Published

2019

Language

EN