Calderón C P, Kwembe T A
Department of Mathematics, Statistics and Computer Sciences, University of Illinois, Chicago 60680.
Math Biosci. 1991 Feb;103(1):97-114. doi: 10.1016/0025-5564(91)90093-x.
The meaning and limitations of certain mathematical models of tumor growth are discussed, and some new derivations of the existing models are given. A theoretical justification for Gompertz's law of growth for tumors is presented. An age-dependent Von Bertalanffy's equation and diffusion models are introduced, and existence and uniqueness problems are addressed.
讨论了某些肿瘤生长数学模型的意义和局限性，并给出了现有模型的一些新推导。提出了肿瘤生长的冈珀茨定律的理论依据。引入了一个年龄相关的冯·贝塔朗菲方程和扩散模型，并讨论了存在性和唯一性问题。
