The human body produces blood through a process known as hematopoiesis.
Mathematical models of this process provide insights into the processes behind hematopoietic malignancies, such as acute myeloid leukemia (AML) or the myeloproliferative neoplasms (MPNs).
My group has developed a mechanism-based model of MPNs using a system of ordinary differential equations.
The model describes the dynamic behaviour of both normal (healthy) and mutated (MPN) hematopoitic cells, coupled through a novel type of inflammation-dependent feedback.
My talk will be split into two main parts. First, I will present the model of my group as described above. This will include the reasoning behind its form and some of its features. Some recent investigations will be described which show that a reduction of the model is possible, yielding a simpler model as well as insight into the connection between parameters.
For the second part, I will describe how current limitations of the model call for an extension. In relation to this, I will show some preliminary results from the current work, and explain how this work relates to both the work of my own group and the work on AML by Stiehl and Marciniak-Czochra.