Global dynamics of healthy and cancer cells competing in the hematopoietic system.

Global dynamics of healthy and cancer cells competing in the hematopoietic system. Math Biosci. 2020 May 19;:108372 Authors: Andersen M, Hasselbalch HC, Kjær L, Skov V, Ottesen JT Abstract Stem cells in the bone marrow differentiate to ultimately become mature, functioning blood cells through a tightly regulated process (hematopoiesis) including a stem cell niche interaction and feedback through the immune system. Mutations in a hematopoietic stem cell can create a cancer stem cell leading to a less controlled production of malfunctioning cells in the hematopoietic system. This was mathematically modelled by Andersen et al. (2017) including the dynamic variables: healthy and cancer stem cells and mature cells, dead cells and an immune system response. Here, we apply a quasi steady state approximation to this model to construct a two dimensional model with four algebraic equations denoted the simple cancitis model. The two dynamic variables are the clinically available quantities JAK2V617F allele burden and the number of white blood cells. The simple cancitis model represents the original model very well. Complete phase space analysis of the simple cancitis model is performed, including proving the existence and location of globally attracting steady states. Hence, parameter values from compartments of stem cells, mature cells and immune cells are directly linked to disease and treatment prognosis, showing the crucial importance of ...
Source: Mathematical Biosciences - Category: Statistics Authors: Tags: Math Biosci Source Type: research