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  • Research Article   
  • APSF 2012, Vol 1(1): 102

Difference Delay Equation-Based Analytical Model of Hematopoiesis

Probir Kumar Dhar1,3, Abhik Mukherjee2 and Durjoy Majumder1*
1Department of Physiology, West Bengal State University, Berunanpukuria, Malikapur, Barasat, North 24 Pgs., Kolkata 700 126, West Bengal, India
2Department of Computer Science and Technology, Bengal Engineering and Science University, Shibpur, Botanic Garden, Howrah 711 103, West Bengal, India
3Department of Electronics and Communication Engineering, Bengal College of Engineering and Technology, , Shahid Sukumar Banerjee Sarani, Durgapur 713 212, West Bengal, India
*Corresponding Author : Durjoy Majumder, Department of Physiology, West Bengal State University, Berunanpukuria, Malikapur, Barasat, North 24 Pgs., Kolkata 700 126, West Bengal, India, Email: [email protected]

Received Date: Aug 15, 2011 / Accepted Date: Dec 26, 2011 / Published Date: Dec 28, 2011

Abstract

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.

Keywords: hematopoiesis; difference delay equation; leukemia

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