# Combining Gompertzian growth and cell population dynamics.

@article{Kozusko2003CombiningGG, title={Combining Gompertzian growth and cell population dynamics.}, author={F. Kozusko and Ž. Bajzer}, journal={Mathematical biosciences}, year={2003}, volume={185 2}, pages={ 153-67 } }

A two-compartment model of cancer cells population dynamics proposed by Gyllenberg and Webb includes transition rates between proliferating and quiescent cells as non-specified functions of the total population, N. We define the net inter-compartmental transition rate function: Phi(N). We assume that the total cell population follows the Gompertz growth model, as it is most often empirically found and derive Phi(N). The Gyllenberg-Webb transition functions are shown to be characteristically… Expand

#### 128 Citations

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