| Autor: |
VENKITESWARAN, G., UDAYABASKARAN, S., PRAVINA, C. T. D., SREELAKSHMI, S. |
| Předmět: |
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| Zdroj: |
TWMS Journal of Applied & Engineering Mathematics; 2022, Vol. 12 Issue 4, p1512-1525, 14p |
| Abstrakt: |
An age dependent and two-mutation stochastic model of carcinogenesis is formulated and studied. In this model, we introduce a fitness age T; (a positive constant) for each cell to divide into two cells. A normal cell if its age is not greater than T either divides into two normal cells or divides into one normal cell and one intermediate cell or dies. A normal cell if its age is greater than T either divides into one normal cell and one intermediate cell, or divides into two intermediate cells or dies. An intermediate cell if its age is not greater than T divides into two intermediate cells or divides into one intermediate cell and one malignant cell or dies. An intermediate cell if its age is greater than T divides into one intermediate cell and one malignant cell or divides into two malignant cells or dies. It is assumed that, once a malignant cell is produced, it generates a malignant tumor with probability 1. We obtain the mean numbers of normal, intermediate and malignant cells. It is shown that the production of malignant cells in one-mutation model is faster than that in two-mutation model. A numerical illustration is presented to highlight the performance of the model. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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