A mathematical model for time development of metastases and their distribution in size and carrying capacity is presented. The model is used to theoretically investigate anti-cancer therapies such as surgery and chemical treatments (cytotoxic or anti-angiogenic), in monotherapy or in combination. Quantification of the effect of surgery on the size distribution of metastatic colonies is derived. For systemic therapies, emphasis is placed on the differences between the treatment of an isolated lesion and a population of metastases. Combination therapy is addressed, in particular the problem of the drugs administration sequence. Theoretical optimal schedules are derived that show the superiority of a metronomic administration scheme (defined as a continuous administration of a given amount of drug spread during the whole therapeutic cycle) on a classical Maximum Tolerated Dose scheme (where the dose is given as a few concentrated administrations at the beginning of the cycle), for the total metastatic burden in the organism.
A stochastic agent-based model for simulating tumor-immune dynamics and evaluating therapeutic strategies
School of Software, Tiangong University（天津工业大学软件学院）；School of Mathematical Sciences, Tiangong University（天津工业大学数学科学学院）；Center for Applied Mathematics, Tiangong University（天津工业大学应用数学中心）
Harnessing subcellular-resolved organ distribution of cationic copolymer-functionalized fluorescent nanodiamonds for optimal delivery of therapeutic siRNA to a xenografted tumor in mice
From the Hallmarks of Cancer to the Survival System: A Paradigmatic Reconstruction of Oncological Theory through the Existential Crisis-Driven Survival (ECDS) Framework
School of Integrative Medicine, Nanjing University of Chinese Medicine（南京中医药大学集成医学院）
Rigorous results of limiting behaviors of total tumor size under cyclic intermittent therapy for the system of reversible phenotype-switchable tumor cells
