A mathematical model of the metabolic and perfusion effects on cortical spreading depression (2013)
Type of ContentJournal Article
PublisherPUBLIC LIBRARY SCIENCE
- Science: Journal Articles 
Cortical spreading depression (CSD) is a slow-moving ionic and metabolic disturbance that propagates in cortical brain tissue. In addition to massive cellular depolarizations, CSD also involves significant changes in perfusion and metabolism-aspects of CSD that had not been modeled and are important to traumatic brain injury, subarachnoid hemorrhage, stroke, and migraine. In this study, we develop a mathematical model for CSD where we focus on modeling the features essential to understanding the implications of neurovascular coupling during CSD. In our model, the sodium-potassium-ATPase, mainly responsible for ionic homeostasis and active during CSD, operates at a rate that is dependent on the supply of oxygen. The supply of oxygen is determined by modeling blood flow through a lumped vascular tree with an effective local vessel radius that is controlled by the extracellular potassium concentration. We show that during CSD, the metabolic demands of the cortex exceed the physiological limits placed on oxygen delivery, regardless of vascular constriction or dilation. However, vasoconstriction and vasodilation play important roles in the propagation of CSD and its recovery. Our model replicates the qualitative and quantitative behavior of CSD-vasoconstriction, oxygen depletion, extracellular potassium elevation, prolonged depolarization-found in experimental studies. We predict faster, longer duration CSD in vivo than in vitro due to the contribution of the vasculature. Our results also help explain some of the variability of CSD between species and even within the same animal. These results have clinical and translational implications, as they allow for more precise in vitro, in vivo, and in silico exploration of a phenomenon broadly relevant to neurological disease. © 2013 Chang et al.
CitationChang JC, Brennan KC, He D, Huang H, Miura RM, Wilson PL, Wylie JJ (2013). A mathematical model of the metabolic and perfusion effects on cortical spreading depression. PLoS ONE. 8(8).
This citation is automatically generated and may be unreliable. Use as a guide only.
ANZSRC Fields of Research11 - Medical and Health Sciences::1109 - Neurosciences::110904 - Neurology and Neuromuscular Diseases
01 - Mathematical Sciences::0102 - Applied Mathematics::010299 - Applied Mathematics not elsewhere classified
Showing items related by title, author, creator and subject.
Randomised controlled pilot trial of an exercise plus behaviour change intervention in people with multiple sclerosis: the Step it Up study. Hayes S; Uszynski MK; Motl RW; Gallagher S; Larkin A; Newell J; Scarrott C; Coote S (2017)To investigate feasibility of multiple sclerosis (MS) exercise guidelines for inactive people with MS (PwMS) and to examine preliminary efficacy for walking. To investigate effect of augmenting that intervention with ...
Effect of exercising at minimum recommendations of the multiple sclerosis exercise guideline combined with structured education or attention control education - secondary results of the step it up randomised controlled trial Coote S; Uszynski M; Herring MP; Hayes S; Scarrott C; Newell J; Gallagher S; Larkin A; Motl RW (2017)Recent exercise guidelines for people with multiple sclerosis (MS) recommend a minimum of 30 min moderate intensity aerobic exercise and resistance exercise twice per week. This trial compared the secondary outcomes of a ...
Smith R; Balmer J; Pretty C; Shaw, Geoff; Desaive T; Chase, Geoff (2019)