Chronic myeloid leukemia model with periodic pulsed treatment

Abstract : In this work we develop a mathematical model of chronic myeloid leukemia including treatment with instantaneous effects. Our analysis focuses on the values of growth rate γ which give either stability or instability of the disease free equilibrium. If the growth rate γ of sensitive leukemic stem cells is less than some threshold γ * , we obtain the stability of disease free equilibrium which means that the disease is eradicated for any period of treatment τ 0. Otherwise, for γ great than γ * , the period of treatment must be less than some specific value τ * 0. In the critical case when the period of treatment is equal to τ * 0 , we observe a persistence of the tumor, which means that the disease is viable.
Document type :
Journal articles
Complete list of metadatas

Cited literature [17 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01904650
Contributor : Abdelkader Lakmeche <>
Submitted on : Thursday, May 9, 2019 - 12:54:23 PM
Last modification on : Friday, July 5, 2019 - 1:16:18 AM

File

ARIMA-Vol30-123-144 (1).pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01904650, version 3

Collections

Citation

Helal Mohamed, Abdelkader Lakmeche, Fethi Souna. Chronic myeloid leukemia model with periodic pulsed treatment. Revue Africaine de la Recherche en Informatique et Mathématiques Appliquées, INRIA, 2019, Volume 30 - MADEV health and energy. ⟨hal-01904650v3⟩

Share

Metrics

Record views

65

Files downloads

105