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Updated: Jul 14, 2026

Modeling the Effects of Hemodynamic Stress on Circulating Tumor Cells using a Syringe and Needle
Published on: April 27, 2021
Stochastic Gompertz model of tumour cell growth
1Institute of Theoretical Physics and Department of Physics, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong SAR, China. cflo@phy.cuhk.edu.hk
Abstract:
In this communication, based upon the deterministic Gompertz law of cell growth, a stochastic model in tumour growth is proposed. This model takes account of both cell fission and mortality too. The corresponding density function of the size of the tumour cells obeys a functional Fokker--Planck equation which can be solved analytically. It is found that the density function exhibits an interesting "multi-peak" structure generated by cell fission as time evolves. Within this framework the action of therapy is also examined by simply incorporating a therapy term into the deterministic cell growth term.
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