A Dynamical Model of Lipoprotein Metabolism |
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Authors: | E August K H Parker M Barahona |
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Institution: | (1) Department of Bioengineering, Imperial College London, South Kensington Campus, London, SW7 2AZ, United Kingdom |
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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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Keywords: | Lipoprotein metabolism Dynamical systems Nonlinear models Metabolic control mechanisms Statins Familial hypercholesterolemia |
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