Combining Gompertzian growth and cell population dynamics.

  title={Combining Gompertzian growth and cell population dynamics.},
  author={Frank Kozusko and Zeljko Bajzer},
  journal={Mathematical biosciences},
  volume={185 2},
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… CONTINUE READING