论文标题
对多出出租车进行建模：具有表型异质性，触觉和单侧种间抑制作用的肿瘤入侵
Modeling multiple taxis: tumor invasion with phenotypic heterogeneity, haptotaxis, and unilateral interspecies repellence
论文作者
论文摘要
我们对现有模型进行了简短的评论，该模型具有（至少）由一个物种执行的多个出租车，并考虑了一种新的数学模型，用于肿瘤入侵，具有两种相互排斥的细胞表型（迁移和增殖）。迁移的细胞对非扩散提示进行非线性扩散和两种类型的出租车：远离增殖细胞和周围组织的梯度。两个细胞亚群之间的过渡受亚细胞（受体结合）动力学的影响，从而赋予设置多尺度特征。 我们证明了简化模型版本的弱解决方案的全球存在，并在几种表型切换和运动场景下对完整设置进行数值模拟。我们还（通过仿真）将该模型与相应的触觉 - 化学疗法进行比较，其中具有间接的化学物质生产，并就可能的模型扩展和数学挑战进行了讨论。
We provide a short review of existing models with multiple taxis performed by (at least) one species and consider a new mathematical model for tumor invasion featuring two mutually exclusive cell phenotypes (migrating and proliferating). The migrating cells perform nonlinear diffusion and two types of taxis in response to non-diffusing cues: away from proliferating cells and up the gradient of surrounding tissue. Transitions between the two cell subpopulations are influenced by subcellular (receptor binding) dynamics, thus conferring the setting a multiscale character. We prove global existence of weak solutions to a simplified model version and perform numerical simulations for the full setting under several phenotype switching and motility scenarios. We also compare (via simulations) this model with the corresponding haptotaxis-chemotaxis one featuring indirect chemorepellent production and provide a discussion about possible model extensions and mathematical challenges.
