A Dynamical Model of Lipoprotein Metabolism

Details A Dynamical Model of Lipoprotein Metabolism A Dynamical Model of Lipoprotein Metabolism

2006-10-28

arxiv.org/abs/q-bio/0610053v1

Biology

Quantitative Biology

Quantitative Methods

To appear in Bulletin of Mathematical Biology

Scientific paper

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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