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| Format: | Artículo científico |
| Sprache: | en |
| Veröffentlicht: |
Sociedade Brasileira de Física
2008
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| Online-Zugang: | https://www.redalyc.org/articulo.oa?id=46413553011 |
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Inhaltsangabe:
- The effect of correlated noise in a Gompertz tumor growth model Anita Behera S. Francesca C. O´Rourke Física, Astronomía y Matemáticas Noise Brownian motion Random processes Fluctuation phenomena We study the effect of noise in an avascular tumor growth model. The growth mechanism we consider is the Gompertz model. The steady state probability distributions and average population of tumor cells are analyzed within the Fokker-Planck formalism to investigate the importance of additive and multiplicative noise. We consider the effect of correlation on tumor growth for both the case of nonzero and zero correlation time. It is observed that the Gompertz model, driven by correlated noise exhibits a stochastic resonance and phase transition. This behaviour is attributed to multiplicative noise. In the case of nonzero correlation time, it is found that the correlation strength and correlation time have opposite effects on the steady state probability distribution. The Gompertz model simulations are also shown to be in qualitative agreement with another similiar non-bistable system, the logistic model. 2008 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46413553011 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.2 Vol.38