1Departamento de Matemáticas, Universidad de los Andes, Sede Bogotá. E-mail: aviswana@uniandes.edu.co., Departamento de Estadística, Universidad Nacional de Colombia, Sede Bogotá.
En este artículo se explica cómo los procesos puntuales han sido usados con éxito para modelar problemas de poblaciones celulares. En particular, se muestra la utilidad de la técnica de densidades producto para tratar un problema de células sujetas a radiación. Se proponen dos tipos de modelos estocásticos: el primero trata sobre la reparación de células basada en cinética enzimática y el segundo sobre la paridad de células en el crecimiento de un tumor. Mediante la técnica de densidades producto hallamos varias características estadísticas claves de estos dos modelos.
Palabras Clave: Modelos estocásticos, procesos puntuales, reparación de células, paridad de células.
In this paper an attempt is made to explain how point processes have been successfully used in modeling cell biology problems. In particular we demonstrate the utility of the product density techniques in dealing with cells sub- ject to radiation. In this paper, we propose two types of stochastic models: the first one is concerned with cell repair based on enzyme kinetics and the second one with parity of cells in tumor growth. Using product density techniques, we device several key statistical characteristics of the models.
Keywords: Stochastic models, point processes, cell repair, parity of cells.
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