Optimal control for resistance and suboptimal response in CML

Mathematical Biosciences
Bedr'Eddine Aïnseba, Chahrazed Benosman

Abstract

The mathematical modelling of hematopoiesis received a significant attention in the last few years. However, the treatment of hematological diseases is less investigated by optimal control tools. In this paper, we consider the dynamics of chronic myeloid leukemia based on a four dimensional model. First we analyze the global dynamics of normal and cancer hematopoietic stem cells and differentiated cells using the principle of Bendixson-Dulac. Then we introduce some nonlinear effects of imatinib treatment over a fixed period of time. We represent therapy effects as an optimal control problem to minimize the cost of treatment and the level of cancer cells. The influence of imatinib onto the division and the mortality rates of cancer cells produces the suboptimal response, resistance and recovery forms.

References

May 29, 2002·Oncogene·Blanca Scheijen, James D Griffin
Apr 2, 2003·Journal of Clinical Oncology : Official Journal of the American Society of Clinical Oncology·Michael W N DeiningerBrian J Druker
May 7, 2004·Comptes rendus biologies·Laurent Pujo-Menjouet, Michael C Mackey
May 11, 2004·Journal of Mathematical Biology·Rebecca V CulshawRaymond J Spiteri
Dec 8, 2004·Médecine sciences : M/S·Catherine Roche-LestienneClaude Preudhomme
Jun 25, 2005·Journal of Theoretical Biology·Caroline Colijn, Michael C Mackey
Jul 1, 2005·Nature·Franziska MichorMartin A Nowak
Jul 9, 2005·Blood·Sandra N CatlinJanis L Abkowitz
Aug 26, 2006·Stem Cells·David Dingli, Franziska Michor
Jan 24, 2007·Annals of Diagnostic Pathology·Claudiu V Cotta, Carlos E Bueso-Ramos
Jun 30, 2007·Mathematical Biosciences·Seema NandaSuzanne Lenhart
Jul 26, 2008·Cancer Letters·Gisella VolpeDaniela Cilloni

❮ Previous
Next ❯

Citations

Oct 21, 2016·PLoS Computational Biology·Qie HeKevin Zox Leder
Dec 4, 2012·Cancers·Tomas RadivoyevitchCharles A Kunos
May 30, 2019·Theoretical Biology & Medical Modelling·Pedro José Gutiérrez-DiezJose Russo
Oct 29, 2015·Physics in Medicine and Biology·Hamidreza BadriKevin Leder
Jul 19, 2017·Proceedings of the National Academy of Sciences of the United States of America·Syndi BarishJana L Gevertz

❮ Previous
Next ❯

Related Concepts

Related Feeds

Blood And Marrow Transplantation

The use of hematopoietic stem cell transplantation or blood and marrow transplantation (bmt) is on the increase worldwide. BMT is used to replace damaged or destroyed bone marrow with healthy bone marrow stem cells. Here is the latest research on bone and marrow transplantation.

Adult Stem Cells

Adult stem cells reside in unique niches that provide vital cues for their survival, self-renewal, and differentiation. They hold great promise for use in tissue repair and regeneration as a novel therapeutic strategies. Here is the latest research.