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- W1984960180 abstract "In this paper, a generalized stochastic model for the growth of avascular tumours is presented. This model captures the dynamical evolution of avascular tumour cell subpopulations by incorporating Gaussian white noise into the growth rate of the mitotic function. This work generalizes the deterministic model proposed by Sherratt and Chaplain (2001 J. Math. Biol. 43 291) where they formulated a tumour model in an in vivo setting, in terms of continuum densities of proliferating, quiescent and necrotic cells. Detailed simulations of our model show that the inclusion of Gaussian noise in the original model of Sherratt and Chaplain substantially distorts the overall structure of the density profiles in addition to reducing the speed of tumour growth. Within this stochastic carcinogenesis framework the action of therapy is also investigated by replacing Gaussian white noise with a therapy term. We compare a constant therapy protocol with a logarithmic time-dependent protocol. Our results predict that a logarithmic therapy is more effective than the constant therapy protocol." @default.
- W1984960180 created "2016-06-24" @default.
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- W1984960180 date "2011-03-14" @default.
- W1984960180 modified "2023-09-23" @default.
- W1984960180 title "Stochastic modelling of avascular tumour growth and therapy" @default.
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- W1984960180 doi "https://doi.org/10.1088/0031-8949/83/04/045801" @default.
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