Журнал биомедицинских систем и новых технологий

Difference Delay Equation-Based Analytical Model of Hematopoiesis

Abstract

Probir Kumar Dhar, Abhik Mukherjee and Durjoy Majumder

Hematopoiesis is a complex dynamic process by which all the blood cells of the peripheral blood are formed. Different molecular techniques identified different molecules involved in a coordinated and time-dependent fashion for the development of different blood cells of specific lineages. These are identified with the cells in isolation that may obscure the dynamical nature of hematopoiesis. This has an importance in understanding of different hematological diseases. However, there is no generalized model available in the literature by which clinicians and patients can be benefited. We have developed a systems model based on difference delay equation. Our model shows that minor variation as well as incorporation of a minor stochastic component to that model equation at the morphological stage(s) may exhibit different pathophysiological state of hematopoietic system. Therefore, this mathematical model reinforces the necessity of expert domain knowledge in translating the parametric values so that individual patient could be benefited.