Abstract
We investigate the FFT (Fast Fourier Transform) model and G-CSF (granulocyte colony-stimulating factor) treatment of CN (Cyclical Neutropenia). We collect grey collies and normal dog’s data from CN and analyze the G-CSF treatment. The model develops the dynamics of circulating blood cells before and after the G-CSF treatment. This is quite natural and useful for the collection of laboratory data for investigation. The proposed interventions are practical. This reduces the quantity of G-CSF required for potential maintenance. This model gives us good result in treatment. The changes would be practical and reduce the risk side as well as the cost of treatment in G-CSF.
Highlights
All blood cells are derived from hematopoietic stem cells
Mathematical models of in vivo hematopoietic regulatory systems using a stochastic formulation have not been extensively developed, primarily because of the lack of corresponding data for stem cells and their progeny. Since they are widely used, we focus in this chapter on models that use differential equations: ordinary differential equations (ODE), partial differential equations (PDE), or delay differential equations (DDE) [13,16]
We found that the neutrophil amplification increases substantially under G-CSF treatment, as does the rate of stem cell apoptosis, and the differentiation into the neutrophil line
Summary
All blood cells are derived from hematopoietic stem cells. These stem cells are called “undifferentiated cells”. Several hematological diseases which display dynamic and potential nature, which is characterized by “oscillations” and one or more circulating cell lines are analyzed in this investigation. This analysis reveals cyclical neutropenia, periodic chronic myelogenous leukemia, cyclical thrombocytopenin and periodic hemolytic anemia [3]. The period of oscillation time may be of 19 to 21days in humans, even though it has been observed to 40 days These “oscillations” are generally accompanied by platelets, lymphocytes and retriculocytes. The analysis of cyclical neutropenia lies in destabilization of the combined HSC and neutrophil control system [5,6] This analysis presents the CN oscillations in general. The details of the mathematical models are presented in detail [11,12,13]
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