A Cell Kinetics Justification for Gompertz’ Equation

DOI10.1137/0146042zbMath0608.92012OpenAlexW2045935252MaRDI QIDQ3748866

C. L. Frenzen, James D. Murray

Publication date: 1986

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0146042

zbMATH Keywords

growth of cell populationscell divisioncell cyclealgebraic decaying maturity velocitycell kinetic modelsexponentially decaying maturity velocityGompertz equationsmaturity-time modelnonconstant maturity velocitypopulation dependent cell kineticstime dependent rate of maturationtime-dependent cell kinetics

Mathematics Subject Classification ID

Population dynamics (general) (92D25) General biology and biomathematics (92B05) Physiological, cellular and medical topics (92Cxx)

Related Items (15)

Optimal therapy protocols in the mathematical model of acute leukemia with several phase constraints ⋮ Tumor growth dynamics with nutrient limitation and cell proliferation time delay ⋮ Conceptual frameworks for mathematical modeling of tumor growth dynamics ⋮ From networked SIS model to the Gompertz function ⋮ Nutrient limitations as an explanation of Gompertzian tumor growth ⋮ Optimal control in a mathematical model for leukemia therapy with phase constraints ⋮ On strategies on a mathematical model for leukemia therapy ⋮ Modeling and analysis of a multilayer solid tumour with cell physiological age and resource limitations ⋮ Combining Gompertzian growth and cell population dynamics ⋮ Role of optimal control theory in cancer chemotherapy ⋮ Solution of the feedback control problem in the mathematical model of leukaemia therapy ⋮ A nonlinear structured population model of tumor growth with quiescence ⋮ Quiescence as an explanation of Gompertzian tumor growth revisited ⋮ Dynamic response of cancer under the influence of immunological activity and therapy ⋮ An Evolutionary Model of Tumor Cell Kinetics and the Emergence of Molecular Heterogeneity Driving Gompertzian Growth

This page was built for publication: A Cell Kinetics Justification for Gompertz’ Equation