DELAY DIFFERENTIAL EQUATION MODELING FOR THE ANALYSIS OF HEMATOLOGICAL DISEASES BY ALTERNATIVE G CSF TREATMENT

Abstract

Delay differential equation (DDE) models of the hematopoietic system newlinedesigned for the study of the effects of Granulocyte-Colony Stimulating newlineFactor (G-CSF) administration is introduced. G-CSF is used clinically for newlinetreating subjects presenting low numbers of white blood cells, a condition newlinereferred to as Neutropenia that can result from different causes. The aim of newlinethis research work is to study alternative treatment that would minimize the newlineuse of G-CSF drug using a mathematical modeling. The first model proposed newlineis a parameter estimation model that considers G-CSF administration for newlineCyclical Neutropenia (CN), a dynamical disorder characterized by oscillations newlinein the circulating neutrophil count. The model develops the dynamics of newlinecirculating blood cells before and after the G-CSF treatment. The model newlinefocuses on the effects of two compartments of G-CSF for the treatment of newlineCN. The second model develops the equilibrium solution for the DDE and a newlinesufficient condition for the global stability. For each model, a combination of newlinenumerical analysis and Fast Fourier Transform (FFT) simulations are used to newlinestudy alternative G-CSF treatment that would be efficient while reducing the newlineamount of drug. These models provide good result in treatment. The changes newlinewould be analytical and reduce the risk side as well as the cost of treatment newlinein G-CSF. newline