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Reduction and Hamiltonian aspects of a model for virus-tumour interaction in oncolytic virotherapy | | Anindya Ghose-Choudhury
; Partha Guha
; | | Date: |
17 Sep 2019 | | Abstract: | 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. | | Source: | arXiv, 1909.8421 | | Services: | Forum | Review | PDF | Favorites | |
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