Pan, S and Chakrabarty, SP and Raha, S (2022) Progression, detection and remission: evolution of chronic myeloid leukemia using a three-stage probabilistic model. In: Journal of Applied Mathematics and Computing .
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Abstract
We present a three-stage probabilistic model for the progression of chronic myeloid leukemia (CML), as manifested by the leukemic stem cells, progenitor cells and mature leukemic cells. This progression is captured through the process of cell division and cell mutation, with probabilities of occurrence being assigned to both of them. The key contributions of this study include, the determination of the expected number of the leukemic stem cells, progenitor cells, mature leukemic cells, as well as total number of these cells (in terms of probabilities, and contingent on the initial cell count), expected time to reach a threshold level of total and injurious leukemic cells, as well as the critical time when the disease changes its phases, the probability of extinction of CML, and the dynamics of CML evolution consequent to primary therapy. Finally, various illustrative numerical simulations, in order to validate the analytical results, are presented. Mathematics.
| Item Type: | Journal Article |
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| Publication: | Journal of Applied Mathematics and Computing |
| Publisher: | Institute for Ionics |
| Additional Information: | The copyright for this article belongs to the Author(s). |
| Keywords: | Cell proliferation; Disease control; Diseases; Probability, Cell divisions; Chronic myeloid leukemias; Disease progression; Extinction probability; Leukemic cells; Primary therapy; Probabilistic models; Probability of occurrence; Progenitor cell; Stem-cell, Stem cells |
| Department/Centre: | Division of Interdisciplinary Sciences > Computational and Data Sciences |
| Date Deposited: | 09 Nov 2022 09:06 |
| Last Modified: | 09 Nov 2022 09:06 |
| URI: | https://eprints.iisc.ac.in/id/eprint/77836 |
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