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Functional Fokker-Planck Equation Approach for a Gompertzian Model of Tumour Cell Growth

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 ssion 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 ssion as time evolves.