scholarly journals Stability Analysis of a Model of Interaction Between the Immune System and Cancer Cells in Chronic Myelogenous Leukemia

2017 ◽  
Vol 80 (5) ◽  
pp. 1084-1110 ◽  
Author(s):  
Apollos Besse ◽  
Geoffrey D. Clapp ◽  
Samuel Bernard ◽  
Franck E. Nicolini ◽  
Doron Levy ◽  
...  
Cancers ◽  
2021 ◽  
Vol 13 (9) ◽  
pp. 2030
Author(s):  
Paul A. Valle ◽  
Luis N. Coria ◽  
Corina Plata

This paper is devoted to exploring personalized applications of cellular immunotherapy as a control strategy for the treatment of chronic myelogenous leukemia described by a dynamical system of three first-order ordinary differential equations. The latter was achieved by applying both the Localization of Compact Invariant Sets and Lyapunov’s stability theory. Combination of these two approaches allows us to establish sufficient conditions on the immunotherapy treatment parameter to ensure the complete eradication of the leukemia cancer cells. These conditions are given in terms of the system parameters and by performing several in silico experimentations, we formulated a protocol for the therapy application that completely eradicates the leukemia cancer cells population for different initial tumour concentrations. The formulated protocol does not dangerously increase the effector T cells population. Further, complete eradication is considered when solutions go below a finite critical value below which cancer cells cannot longer persist; i.e., one cancer cell. Numerical simulations are consistent with our analytical results.


2015 ◽  
Vol 75 (19) ◽  
pp. 4053-4062 ◽  
Author(s):  
Geoffrey D. Clapp ◽  
Thomas Lepoutre ◽  
Raouf El Cheikh ◽  
Samuel Bernard ◽  
Jérémy Ruby ◽  
...  

2021 ◽  
Vol 5 (1) ◽  
Author(s):  
Brittany Wiseman

Disruption during cellular differentiation can cause hematopoietic stem cells to proliferate uncontrollably, resulting in the development of cancer. Differentiation therapies are being investigated as a type of cancer treatment which involve inducing agents that promote the differentiation of cancer cells into those with similar properties to normal blood cells. These cells can then undergo apoptosis at an accelerated and controlled rate compared to cancer cells, making this a potential therapeutic technique. In this study, the ability of human chronic myelogenous leukemia K562 cells to undergo cellular differentiation in response to the inducing agent 9-(2-Phosphonyl-methoxy ethyl)-adenine (PMEA) is investigated. PMEA has previously been shown to disrupt cell replication, and promote erythrocytic differentiation in K562 cells. In order to further test the effectiveness of this inducer, cell proliferation was measured with a cell growth curve, hemoglobin presence was measured with benzidine staining, and gamma-globin expression (a protein subunit of fetal hemoglobin) was measured in both induced and uninduced K562 cell cultures via RT-qPCR and western blotting. The results indicate that PMEA slows cell replication, and promotes hemoglobin (and subsequently gamma-globin) expression in treated cells. In summary, the findings support the conclusion that PMEA is able to promote erythrocytic differentiation in K562 cells, and provides information that supports differentiation therapies as a method for cancer treatment.


1989 ◽  
Vol 1 (2) ◽  
pp. 141-144 ◽  
Author(s):  
Robert Pirker ◽  
Lori J. Goldstein ◽  
Heinz Ludwig ◽  
Werner Linkesch ◽  
Christina Lechner ◽  
...  

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