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A dynamical model of lipoprotein metabolism.
- Source :
-
Bulletin of mathematical biology [Bull Math Biol] 2007 May; Vol. 69 (4), pp. 1233-54. Date of Electronic Publication: 2007 Mar 03. - Publication Year :
- 2007
-
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.
Details
- Language :
- English
- ISSN :
- 0092-8240
- Volume :
- 69
- Issue :
- 4
- Database :
- MEDLINE
- Journal :
- Bulletin of mathematical biology
- Publication Type :
- Academic Journal
- Accession number :
- 17334872
- Full Text :
- https://doi.org/10.1007/s11538-006-9132-6