Diffusion model of tumor vascularization and growth.
نویسندگان
چکیده
A diffusion model of tumor growth, vascularization and necrosis is used to analyze experimental data describing the temporal changes in tumor cell and blood vessel radial distributions in a host-tissue field transplanted with a fibrosarcoma. The dynamic changes can be explained by a mathematical model which views the process as one of diffusion and proliferation in time and space. Coupled diffusion equations with nonlinear source and sink terms describe the proliferation, death, and migration of tumor cells and vascular surface area.
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عنوان ژورنال:
- Bulletin of mathematical biology
دوره 39 1 شماره
صفحات -
تاریخ انتشار 1977