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- W93617135 abstract "This chapter opens with a summary of the philosophy and methodology of mathematical modeling (Sections 2.1 and 2.2). In Section 2.3 a survey of deterministic diffusion models of spheroid growth is provided. Section 2.4 addresses a particular type of model, based on a predator-prey description of the immune response to cancer illustrating the modeling pro- cess in some detail. This is followed in Section 2.5 by a spatially-dependent approach to the immune response in a one-dimensional system. Section 2.6 is more speculative in nature: the suggestion is made that the concepts of “tunneling” (as used in quantum mechanics) and “catastrophe” may be applicable to both the development of cancer and the effectiveness of the immune response. Two appendices follow on (i) catastrophe theory and (ii) certain mathematical properties of solutions to diffusion equations." @default.
- W93617135 created "2016-06-24" @default.
- W93617135 creator A5058429193 @default.
- W93617135 date "1997-01-01" @default.
- W93617135 modified "2023-09-24" @default.
- W93617135 title "General Aspects of Modeling Tumor Growth and Immune Response" @default.
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- W93617135 doi "https://doi.org/10.1007/978-0-8176-8119-7_2" @default.
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