MATHEMATICS OF SELF-ORGANISATION IN CELL SYSTEMS
 
 
 
by Steffen Härting
by Moritz Mercker
by Moritz Mercker
by Steffen Härting
Thomas Stiehl

Mathematical Modeling of Hematopoiesis and Leukemias

Leukemias form a heterogeneous group of diseases. Since human stem cell behavior is not directly accessible to experimental manipulation, mathematical modeling constitutes a potent and rigorous framework to evaluate hypotheses on cellular behavior in health and disease. Over the last years evidence has accumulated that in many cases a stem cell like population is responsible for maintenance of the leukemic cell bulk.

We extend our (ODE-) models of the hematopoietic system to describe time dynamics of leukemic cells. This approach allows to investigate the impact of different cellular properties and feedback mechanisms on clinical course and treatment response. Mathematical analysis (stability analysis, asymptotic behavior) and computer simulations are used to better understand possible origins of heterogeneous clinical presentation and treatment strategies. The project tends to develop new models and corresponding mathematical tools needed for their analysis.

Mathematical modeling is inspired and validated based on clinical data from a collaboration with the Medical Clinic V at Heidelberg University Hospital (Group of Prof. Ho) within the framework of SFB 873.