Modeling Red Blood Cell and Iron Dynamics in Patients with Chronic Kidney Disease
NORTH CAROLINA STATE UNIV AT RALEIGH CENTER FOR RESEARCH IN SCIENTIFIC COMPUTATION
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Chronic kidney disease causes a slow loss of kidney function over time and can eventually lead to End Stage Renal Disease, where a patient must undergo dialysis to remove fluids and wastes from the body. These patients also suffer from a lack of the hormone erythropoietin EPO, produced in the kidneys, that stimulates red blood cell RBC production. Without intervention, patients suffer from anemia. Patients are treated with both EPO and iron in order to stimulate RBC production. We develop a partial differential equation model for RBC dynamics using two structure variables, one for age and one for cellular iron endowment. We couple this with a set of ordinary differential equations modeling iron dynamics. We take into account the effects of both inflammation and neocytolysis, which are known to affect patients undergoing treatment.
- Anatomy and Physiology
- Medicine and Medical Research