The Effect of Correlated Noise in a Gompertz Tumor Growth Model
Título del documento: The Effect of Correlated Noise in a Gompertz Tumor Growth Model
Revista: Brazilian journal of physics
Base de datos: PERIÓDICA
Número de sistema: 000398869
ISSN: 0103-9733
Autores: 1
2
Instituciones: 1Queen's University of Belfast, School of Biomedical Sciences, Belfast, Antrim. Reino Unido
2Queen's University of Belfast, School of Mathematics and Physics, Belfast, Antrim. Reino Unido
Año:
Periodo: Jun
Volumen: 38
Número: 2
Paginación: 272-278
País: Brasil
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Analítico
Resumen en inglés 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
Disciplinas: Matemáticas,
Medicina
Palabras clave: Matemáticas aplicadas,
Oncología,
Crecimiento,
Tumores,
Modelo de Gompertz,
Ecuaciones diferenciales
Keyword: Mathematics,
Medicine,
Applied mathematics,
Oncology,
Growth,
Tumors,
Gompertz model,
Differential equations
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