Abstract
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.
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August, E., Parker, K.H. & Barahona, M. A Dynamical Model of Lipoprotein Metabolism. Bull. Math. Biol. 69, 1233–1254 (2007). https://doi.org/10.1007/s11538-006-9132-6
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DOI: https://doi.org/10.1007/s11538-006-9132-6