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引用次数: 0
摘要
我们分析了Jenner等人系统的一阶常微分方程系统的广义哈密顿结构（Letters in biommathematics 5 (2018), no. 11）。S1, S117-S136)。该方程组用于模拟溶瘤病毒与肿瘤细胞群的相互作用。我们的分析是基于雅可比最后乘子和与时间相关的第一积分的存在。模型参数的适当条件允许将问题简化为平面方程组，并描述了随时间变化的哈密顿流。用辛方法和协辛方法研究了哈密顿流的几何性质。
Generalized Hamiltonian and Lagrangian aspects of a model for virus–tumor interaction in oncolytic virotherapy
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.
期刊介绍：
Mathematical Methods in the Applied Sciences publishes papers dealing with new mathematical methods for the consideration of linear and non-linear, direct and inverse problems for physical relevant processes over time- and space- varying media under certain initial, boundary, transition conditions etc. Papers dealing with biomathematical content, population dynamics and network problems are most welcome.
Mathematical Methods in the Applied Sciences is an interdisciplinary journal: therefore, all manuscripts must be written to be accessible to a broad scientific but mathematically advanced audience. All papers must contain carefully written introduction and conclusion sections, which should include a clear exposition of the underlying scientific problem, a summary of the mathematical results and the tools used in deriving the results. Furthermore, the scientific importance of the manuscript and its conclusions should be made clear. Papers dealing with numerical processes or which contain only the application of well established methods will not be accepted.
Because of the broad scope of the journal, authors should minimize the use of technical jargon from their subfield in order to increase the accessibility of their paper and appeal to a wider readership. If technical terms are necessary, authors should define them clearly so that the main ideas are understandable also to readers not working in the same subfield.
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