منابع مشابه
Statistical Ensemble Theory of Gompertz Growth Model
An ensemble formulation for the Gompertz growth function within the framework of statistical mechanics is presented, where the two growth parameters are assumed to be statistically distributed. The growth can be viewed as a self-referential process, which enables us to use the Bose-Einstein statistics picture. The analytical entropy expression pertain to the law can be obtained in terms of the ...
متن کاملStochastic Nonlinear Gompertz Model of Tumour Growth
In this communication, based upon the deterministic Gompertz growth law, a stochastic nonlinear model of tumour growth is proposed to model the conventional size-dependent therapy strategy of tumours. The probability density function of the size of the tumour obeys a nonlinear Fokker-Planck equation which can be solved analytically. It is found that during the cancer treatments the dose intensi...
متن کاملThe use of Gompertz models in growth analyses, and new Gompertz-model approach: An addition to the Unified-Richards family
The Gompertz model is well known and widely used in many aspects of biology. It has been frequently used to describe the growth of animals and plants, as well as the number or volume of bacteria and cancer cells. Numerous parametrisations and re-parametrisations of varying usefulness are found in the literature, whereof the Gompertz-Laird is one of the more commonly used. Here, we review, prese...
متن کاملMaximum life span predictions using the Gompertz tumour Growth model
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 o...
متن کاملTopological regular variation. I. Slow variation
Motivated by the Category Embedding Theorem, as applied to convergent automorphisms [BOst11], we unify and extend the multivariate regular variation literature by a reformulation in the language of topological dynamics. Here the natural setting are metric groups, seen as normed groups (mimicking normed vector spaces). We briey study their properties as a preliminary to establishing that the Un...
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ژورنال
عنوان ژورنال: ANZIAM Journal
سال: 2007
ISSN: 1445-8810
DOI: 10.21914/anziamj.v47i0.1061