Nonlinear Modeling and Simulation of Tumor Growth

摘要: The effects of the interaction between cellularand tumor-scale processes on cancer progression and treatment response remain poorly understood (for instance, crucial role microenvironment in growth invasion [95, 65, 184, 183, 160, 110, 66, 166]). Three-dimensional tissue morphology, cell phenotype, molecular phenomena are intricately coupled; they influence potential by controlling tumor-cell proliferation migration [78, 187, 198]. Hypoxia [88, 210, 186, 70, 91], acidosis [91, 199, 96], associated diffusion gradients, caused heterogeneous delivery oxygen nutrients removal metabolites [104, 103] due to highly disorganized microvasculature [92, 106] often exacerbated therapy (e.g., anti-angiogenic [160, 177]), can induce spatial distribution invasiveness tumor cells through a variety [175, 209, 208, 44, 165, 173, 145, 118, 28, 29, 190, 156, 185, 120, 122, 24, 177, 174, 61] tissue-scale [59, 127, 72] mechanisms corresponding different invasive patterns 164, 194, 167, 111, 198, 204, 117, 206, 64, 179, 75, 77, 53, 172]. Such complex systems, dominated large numbers nonlinear dynamics, difficult approach experimental methods alone typically be better only using appropriate mathematical models sophisticated computer simulations, complementary laboratory clinical observations. Mathematical modeling has