ArticlePloS one2013
A mathematical model of the metabolic and perfusion effects on cortical spreading depression.
Article in PloS one, 2013. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 26 papers.
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Who cites it
26 citing papers in PubMed, 69 citations in OpenAlex.
- Treatment of acute migraine by a partial rebreathing device: A randomized controlled pilot study.Cephalalgia : an international journal of headache · 2018Trial
- The Use of vHIT in the Differential Diagnosis Between Vestibular Migraine and Meniere's Disease: A Systematic Review and Meta-Analysis.Audiology research · 2025Review
- An electrodiffusive network model with multicompartmental neurons and synaptic connections.PLoS computational biology · 2024Article
- In silico study of the mechanisms of hypoxia and contractile dysfunction during ischemia and reperfusion of hiPSC cardiomyocytes.Disease models & mechanisms · 2024Article
- Uncertainty quantification and sensitivity analysis of neuron models with ion concentration dynamics.PloS one · 2024Article
- Mathematical Psychiatry: On Cortical Spreading Depression-A Review.Brain sciences · 2023Review
- Quantifying the relationship between spreading depolarization and perivascular cerebrospinal fluid flow.Scientific reports · 2023Article
- Grey-box modeling and hypothesis testing of functional near-infrared spectroscopy-based cerebrovascular reactivity to anodal high-definition tDCS in healthy humans.PLoS computational biology · 2021Article
- A tridomain model for potassium clearance in optic nerve of Necturus.Biophysical journal · 2021Article
- An electrodiffusive neuron-extracellular-glia model for exploring the genesis of slow potentials in the brain.PLoS computational biology · 2021Article
- A mathematical model for persistent post-CSD vasoconstriction.PLoS computational biology · 2020Article
- An electrodiffusive, ion conserving Pinsky-Rinzel model with homeostatic mechanisms.PLoS computational biology · 2020Article
- Altered Macular Vasculature in Migraine Patients without Aura: Is It Associated with Ocular Vasculature and White Matter Hyperintensities?Journal of ophthalmology · 2020Article
- A computational study on the role of glutamate and NMDA receptors on cortical spreading depression using a multidomain electrodiffusion model.PLoS computational biology · 2019Article
- Mitochondrial dysfunction and role in spreading depolarization and seizure.Journal of computational neuroscience · 2019Article
- Metabolic basis of brain-like electrical signalling in bacterial communities.Philosophical transactions of the Royal Society of London. Series B, Biological sciences · 2019Article
- A Bidomain Model for Lens Microcirculation.Biophysical journal · 2019Article
- A mathematical model of recurrent spreading depolarizations.Journal of computational neuroscience · 2018Article
- The role of glutamate in neuronal ion homeostasis: A case study of spreading depolarization.PLoS computational biology · 2017Article
- Neuroprotective Role of Gap Junctions in a Neuron Astrocyte Network Model.Biophysical journal · 2016Article
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Authors and funding
7 authors at 6 institutions in 4 countries.
Funding
Abstract
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.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.