A modified stochastic Gompertz model for tumour cell growth
Publication in refereed journal

香港中文大學研究人員

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其它資訊
摘要Based upon the deterministic Gompertz law of cell growth, we have proposed a stochastic model of tumour cell growth, in which the size of the tumour cells is bounded. The model takes account of both cell fission (which is an 'action at a distance' effect) and mortality too. Accordingly, the density function of the size of the tumour cells obeys a functional Fokker-Planck Equation (FPE) associated with the bounded stochastic process. We apply the Lie-algebraic method to derive the exact analytical solution via an iterative approach. It is found that the density function exhibits an interesting kink-like structure generated by cell fission as time evolves.
著者Lo CF
期刊名稱Computational and Mathematical Methods in Medicine
出版年份2010
月份1
日期1
卷號11
期次1
出版社Taylor & Francis: STM, Behavioural Science and Public Health Titles / Hindawi Publishing Corporation
頁次3 - 11
國際標準期刊號1748-670X
電子國際標準期刊號1748-6718
語言英式英語
關鍵詞bounded random process; Fokker-Planck equation; Lie-algebraic method
Web of Science 學科類別Mathematical & Computational Biology; MATHEMATICAL & COMPUTATIONAL BIOLOGY

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