溶瘤病毒治疗中病毒-肿瘤相互作用模型的约化和哈密顿性质
Reduction and Hamiltonian aspects of a model for virus-tumour interaction in oncolytic virotherapy
摘要：
我们分析了用于模拟溶瘤病毒与肿瘤细胞群相互作用的一阶常微分方程系统的哈密顿结构。分析是基于存在的Jacobi最后乘子的系统和时间相关的第一积分。对于合适的条件下的模型参数，这允许减少的问题，以一个平面系统的方程，其中的时间依赖的哈密顿流进行了描述。最后利用辛和共辛方法研究了哈密顿流的几何性质。
英文摘要：
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.
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