THE DYNAMIC BEHAVIORS OF RBC, EPO AND OXYGEN WITH TIME DELAY

Abstract

The process by which the red blood cells are developed is known as
erythropoiesis. It is depicted that while the process involves many
components, the ones are the erthrocytes themselves ant the
erythropoietin hormone (EPO). The hemoglobin in the RBC absorbs the
oxygen when it is flowing in the lung. The production and feedback loop
in eryttropoiesis consist of RBC coming from the bone marrow. A
mathematical model for this process which connecting the of erythrocytes
(or RBC), the EPO and The oxygen is proposed together with time delay.
A bifurcation analysis is carried out to determine the ranges of parameter
values that would lead to state productions of RBC. We have also shown
the computer simulations of the behaviors.

Keywords: erythropoiesis, erythrocyte, bifurcation analysis, time delay