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Literature DB >> 29210004

A mathematical model of recurrent spreading depolarizations.

Cameron Conte¹, Ray Lee¹, Monica Sarkar¹, David Terman².

Abstract

A detailed biophysical model for a neuron/astrocyte network is developed in order to explore mechanisms responsible for the initiation and propagation of recurrent cortical spreading depolarizations. The model incorporates biophysical processes not considered in the earlier models. This includes a model for the Na+-glutamate transporter, which allows for a detailed description of reverse glutamate uptake. In particular, we consider the specific roles of elevated extracellular glutamate and K+ in the initiation, propagation and recurrence of spreading depolarizations.

Entities: Chemical

Keywords: Mathematical model; Neuron/astrocyte network; Spreading depolarization

Mesh：

Year: 2017 PMID： 29210004 DOI： 10.1007/s10827-017-0675-3

Source DB: PubMed Journal: J Comput Neurosci ISSN： 0929-5313 Impact factor: 1.621

57 in total

Review 1. Clinical relevance of cortical spreading depression in neurological disorders: migraine, malignant stroke, subarachnoid and intracranial hemorrhage, and traumatic brain injury.

Authors: Martin Lauritzen; Jens Peter Dreier; Martin Fabricius; Jed A Hartings; Rudolf Graf; Anthony John Strong
Journal: J Cereb Blood Flow Metab Date: 2010-11-03 Impact factor: 6.200

Review 2. The science of stroke: mechanisms in search of treatments.

Authors: Michael A Moskowitz; Eng H Lo; Costantino Iadecola
Journal: Neuron Date: 2010-07-29 Impact factor: 17.173

3. Effects of Glia in a Triphasic Continuum Model of Cortical Spreading Depression.

Authors: Rosemary O'Connell; Yoichiro Mori
Journal: Bull Math Biol Date: 2016-10-11 Impact factor: 1.758

4. Astrocytes modulate neural network activity by Ca²+-dependent uptake of extracellular K+.

Authors: Fushun Wang; Nathan A Smith; Qiwu Xu; Takumi Fujita; Akemichi Baba; Toshio Matsuda; Takahiro Takano; Lane Bekar; Maiken Nedergaard
Journal: Sci Signal Date: 2012-04-03 Impact factor: 8.192

5. Delayed ischaemic neurological deficits after subarachnoid haemorrhage are associated with clusters of spreading depolarizations.

Authors: Jens P Dreier; Johannes Woitzik; Martin Fabricius; Robin Bhatia; Sebastian Major; Chistoph Drenckhahn; Thomas-Nicolas Lehmann; Asita Sarrafzadeh; Lisette Willumsen; Jed A Hartings; Oliver W Sakowitz; Jörg H Seemann; Anja Thieme; Martin Lauritzen; Anthony J Strong
Journal: Brain Date: 2006-10-25 Impact factor: 13.501

6. Equations for InsP3 receptor-mediated [Ca2+]i oscillations derived from a detailed kinetic model: a Hodgkin-Huxley like formalism.

Authors: Y X Li; J Rinzel
Journal: J Theor Biol Date: 1994-02-21 Impact factor: 2.691

3. A computational study on the role of glutamate and NMDA receptors on cortical spreading depression using a multidomain electrodiffusion model.

Authors: Austin Tuttle; Jorge Riera Diaz; Yoichiro Mori
Journal: PLoS Comput Biol Date: 2019-12-02 Impact factor: 4.475

3 in total

A mathematical model of recurrent spreading depolarizations.

Review 1. Clinical relevance of cortical spreading depression in neurological disorders: migraine, malignant stroke, subarachnoid and intracranial hemorrhage, and traumatic brain injury.

Review 2. The science of stroke: mechanisms in search of treatments.

3. Effects of Glia in a Triphasic Continuum Model of Cortical Spreading Depression.

4. Astrocytes modulate neural network activity by Ca²+-dependent uptake of extracellular K+.

5. Delayed ischaemic neurological deficits after subarachnoid haemorrhage are associated with clusters of spreading depolarizations.

6. Equations for InsP3 receptor-mediated [Ca2+]i oscillations derived from a detailed kinetic model: a Hodgkin-Huxley like formalism.

7. Non-vesicular release of glutamate from glial cells by reversed electrogenic glutamate uptake.

Review 8. The role of spreading depression, spreading depolarization and spreading ischemia in neurological disease.

9. Spiral waves of spreading depression in the isolated chicken retina.

10. Dynamics from seconds to hours in Hodgkin-Huxley model with time-dependent ion concentrations and buffer reservoirs.

1. Mitochondrial dysfunction and role in spreading depolarization and seizure.

2. Using NEURON for Reaction-Diffusion Modeling of Extracellular Dynamics.

3. A computational study on the role of glutamate and NMDA receptors on cortical spreading depression using a multidomain electrodiffusion model.