Global Dynamics of a Piecewise Smooth System for Brain Lactate Metabolism
In this article, we study a piecewise smooth dynamical system inspired by a previous reduced system modeling compartimentalized brain metabolism. The piecewise system allows the introduction of an autoregulation induced by a feedback of the extracellular or capillary Lactate concentrations on the Capillary Blood Flow. New dynamical phenomena are uncovered and we discuss existence and nature of two equilibrium points, attractive segment, boundary equilibrium and periodic orbits depending of the Capillary Blood Flow.
W 'J *J J LBL-9998 I B Lawrence Berkeley Laboratory UNIVERSITY OF CALIFORNIA Materials & Molecular Research Division D O C U M E N T S SECTION. THE LOOP-DRIVEN GRAPHICAL UNITARY GROUP APPROACH TO THE ELECTRON CORRELATION PROBLEM, INCLUDING CONFIGURATION INTERACTION ENERGY GRADIENTS Bernard Robinson Brooks ( Ph. D. thesis ) For Reference September 1979 Not to be taken from this room r •-Si Prepared for the U.S. Department of Energy under Contract W-7405-ENG-48