A Review of Mathematical Models for Tumor Dynamics and Treatment Resistance Evolution of Solid Tumors.

ABSTRACT: Increasing knowledge of intertumor heterogeneity, intratumor heterogeneity, and cancer evolution has improved the understanding of anticancer treatment resistance. A better characterization of cancer evolution and subsequent use of this knowledge for personalized treatment would increase the chance to overcome cancer treatment resistance. Model-based approaches may help achieve this goal. In this review, we comprehensively summarized mathematical models of tumor dynamics for solid tumors and of drug resistance evolution. Models displayed by ordinary differential equations, algebraic equations, and partial differential equations for characterizing tumor burden dynamics are introduced and discussed. As for tumor resistance evolution, stochastic and deterministic models are introduced and dis

SUBMITTER: Yin A 

PROVIDER: S-EPMC6813171 | biostudies-literature | 2019 Oct

REPOSITORIES: biostudies-literature