A model for regulated fatty acid metabolism in liver; equilibria and their changes
O. Radulescu, A. Siegel, E. Pecou, S. Lagarrigue
Abstract
We build a model for the hepatic fatty acid metabolism and its metabolic and genetic regulations. The model has two functioning modes: synthesis and oxidation of fatty acids. We provide a sufficient condition (the strong lipolytic condition) for the uniqueness of its equilibrium. Under this condition, modifications of the glucose input produce equilibrium shifts, which are gradual changes from one functioning mode to the other. We also discuss the concentration variations of various metabolites during equilibrium shifts. The model can explain a certain amount of experimental observations, assess the role of poly-unsaturated fatty acids in genetic regulation, and predict the behavior of mutants. The analysis of the model is based on block elimination of variables and uses a modular decomposition of the system dictated by mathematical global univalence conditions.
Create a lesson
Related papers
Population Structures with Positive Feedback and Asymmetric Division
Gabriel Dooley, Camden Kilton, Brynley Needham et al.
Bayesian comparison of Langevin dynamics for cell motility from positional observation
Yusuke Kato, Jan Albrecht, Ted Moldenhawer et al.
A quantitative model for the emergent population dynamics of the melanoma MITF rheostat
Keith L. Chambers, Richard M. White, Colin R. Goding et al.
Local intercellular coupling is sufficient for long-range calcium signaling
Benjamin M. Goykadosh, Vasuretha Chandar, Harikrishnan Parameswaran
Necessary and sufficient condition for hysteresis in the mathematical model of the cell type regulation of Bacillus subtilis
Sohei Tasaki, Madoka Nakayama, Izumi Takagi et al.
A phenomenological multiscale framework for orientational interactions and viscoelasticity in migrating epithelial monolayers
Ivana Pajic-Lijakovic, Milan Milivojevic, Peter V. E. McClintock