2006/10/28 by Elias August, Kim H. Parker, August, Elias +3
Biochemistry, Genetics and Molecular Biology · Medicine · #Cell Behavior (q-bio.CB) #Cholesterol and Lipid Metabolism #Diabetes, Cardiovascular Risks, and Lipoproteins #FOS: Biological sciences #Peroxisome Proliferator-Activated Receptors #Quantitative Methods (q-bio.QM) #q-bio.CB #q-bio.QM
paper · pdf · doi:10.48550/arxiv.q-bio/0610053
To appear in Bulletin of Mathematical Biology
arxiv created 2006/10/28 · openalex publication_date 2006/10/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present a dynamical model of lipoprotein metabolism derived by combining a cascading process in the blood stream and cellular level regulatory dynamics. We analyse the existence and stability of equilibria and show that this low-dimensional, nonlinear model exhibits bistability between a low and a high cholesterol state. A sensitivity analysis indicates that the intracellular concentration of cholesterol is robust to parametric variations while the plasma cholesterol can vary widely. We show how the dynamical response to time-dependent inputs can be used to diagnose the state of the system. We also establish the connection between parameters in the system and medical and genetic conditions.