Stochastic Gompertz model of tumour cell growth.

  title={Stochastic Gompertz model of tumour cell growth.},
  author={C. F. Lo},
  journal={Journal of theoretical biology},
  volume={248 2},
  • C. F. Lo
  • Published 2007 in Journal of theoretical biology
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… CONTINUE READING

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