Bulletin of Mathematical Biology

, Volume 69, Issue 4, pp 1233–1254 | Cite as

A Dynamical Model of Lipoprotein Metabolism

Original Article


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.


Lipoprotein metabolism Dynamical systems Nonlinear models Metabolic control mechanisms Statins Familial hypercholesterolemia 


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Copyright information

© Springer Science + Business Media, Inc. 2007

Authors and Affiliations

  1. 1.Department of BioengineeringImperial College LondonLondonUnited Kingdom

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