Abstract

Studies in the evolutionary biology of cancer research require good estimates of the intrinsic growth rate of the tumour coefficient. A Gompertzian model is a classical continuous model useful in describing population dynamics; in particular, it is a very efficient mathematical modelto describe tumour growth in humans and animals. The Gompertz survival model of a tumour growth is the interest of many investigators in experimental biology and the evolutionary biology of ageing. Standard parameter estimation techniques, such as regression and maximum likelihood analysis, require knowledge of actual lifespan for parameter estimation to be successful. In this paper we introduce an alternative algorithm for estimating this parameter. And we examine maximum life span predictions through the Gompertz tumour growth model for large number of tumour cells at particular time. Keywords: Asymptotic, Gompertz model, Maximum lifetime of tumour cells, Tumour doubling time. AMS classiffication code: 92B05,35A02.

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