Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4499019 | Journal of Theoretical Biology | 2007 | 5 Pages |
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.
Related Topics
Life Sciences
Agricultural and Biological Sciences
Agricultural and Biological Sciences (General)
Authors
C.F. Lo,