Computational Cell-Based Modeling and Visualization of Cancer Development and Progression

摘要: This paper presents a review of the role mathematical modeling in investigating cancer progression, focusing on five models developed our group. A brief overview computational progress is presented, followed by introduction several formalisms (e.g., stochastic differential equations), numerical methods finite element method, Green’s functions, and combinations time integration), Monte Carlo simulations, which are currently used to quantify underlying biomedical mechanisms, approximate results evaluate impact input variables. Next, we provide specific examples that aimed at predicting dynamics initiation progression cancer. Our simulation show qualitative consistency with references and/or available experimental observations. Finally, perspectives drawn possibilities for prospects understanding treatment therapies.