Modeling Red Blood Cell and Iron Dynamics in Patients with Chronic Kidney Disease
Abstract
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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 10, 2012
- Accession Number
- ADA556965
Entities
People
- H. Thomas Banks
- Hung V. Tran
- Karen M. Bliss
Organizations
- North Carolina State University