References and models cited by this paper

References and models that cite this paper

Causon D,Mingham C (2010) Introductory Finite Difference Methods for PDEs

Dahlem MA, Isele TM (2013) Transient localized wave patterns and their application to migraine. J Math Neurosci 3:7 [Journal] [PubMed]

Desroches M,Faugeras, O,Krupa M,Mantegazza M (2017) Modeling Cortical Spreading Depression Induced by the Hyperactivity of Interneurons Inria [Journal]

Fitzhugh R (1961) Impulses and Physiological States in Theoretical Models of Nerve Membrane. Biophys J 1:445-66 [PubMed]

Gerardo-Giorda L,Kroos JM (2017) A computational multiscale model of cortical spreading depression propagation Comput. Math. Appl. 74(5):1076-1090

GRAFSTEIN B (1956) Mechanism of spreading cortical depression. J Neurophysiol 19:154-71 [Journal] [PubMed]

Haglund MM, Schwartzkroin PA (1990) Role of Na-K pump potassium regulation and IPSPs in seizures and spreading depression in immature rabbit hippocampal slices. J Neurophysiol 63:225-39 [Journal] [PubMed]

HODGKIN AL, HUXLEY AF (1952) A quantitative description of membrane current and its application to conduction and excitation in nerve. J Physiol 117:500-44 [Journal] [PubMed]

Leão AAP (1944) Spreading depression of activity in the cerebral cortex J Neurophysiol 7:359-390

Miura RM,Huang H,Wylie JJ (2007) Cortical spreading depression: an enigma Eur. Phys. J. Spec. Top. 147(1):287-302

O'Connell RA (2016) A computational study of cortical spreading depression Ph.D. thesis

Pietrobon D, Moskowitz MA (2014) Chaos and commotion in the wake of cortical spreading depression and spreading depolarizations. Nat Rev Neurosci 15:379-93 [Journal] [PubMed]

Reggia JA, Montgomery D (1996) A computational model of visual hallucinations in migraine. Comput Biol Med 26:133-41 [PubMed]

Renart A, Brunel N, Wang X (2004) Mean-Field Theory of Irregularly Spiking Neuronal Populations and Working Memory in Recurrent Cortical Networks Computational Neuroscience: A Comprehensive Approach

Reshodko LV, Bures J (1975) Computer simulation of reverberating spreading depression in a network of cell automata. Biol Cybern 18:181-9 [PubMed]

Revett K, Ruppin E, Goodall S, Reggia JA (1998) Spreading depression in focal ischemia: a computational study. J Cereb Blood Flow Metab 18:998-1007 [Journal] [PubMed]

Shapiro BE (2000) An electrophysiological model of gap-junction mediated cortical spreading depression including osmotic volume changes Ph. D. Dissertation

Somjen GG (2001) Mechanisms of spreading depression and hypoxic spreading depression-like depolarization. Physiol Rev 81:1065-96 [Journal] [PubMed]

Somjen GG (2005) Aristides Leão's discovery of cortical spreading depression. J Neurophysiol 94:2-4 [Journal] [PubMed]

Somjen GG, Müller M (2000) Potassium-induced enhancement of persistent inward current in hippocampal neurons in isolation and in tissue slices. Brain Res 885:102-10 [PubMed]

Sugaya E, Takato M, Noda Y (1975) Neuronal and glial activity during spreading depression in cerebral cortex of cat. J Neurophysiol 38:822-41 [Journal] [PubMed]

Tottene A, Conti R, Fabbro A, Vecchia D, Shapovalova M, Santello M, van den Maagdenberg AM, Ferrari MD, Pietrobon D (2009) Enhanced excitatory transmission at cortical synapses as the basis for facilitated spreading depression in Ca(v)2.1 knockin migraine mice. Neuron 61:762-73 [Journal] [PubMed]

Tuckwell HC, Miura RM (1978) A mathematical model for spreading cortical depression. Biophys J 23:257-76 [Journal] [PubMed]

Vecchia D, Pietrobon D (2012) Migraine: a disorder of brain excitatory-inhibitory balance? Trends Neurosci 35:507-20 [Journal] [PubMed]

WIENER N, ROSENBLUETH A (1946) The mathematical formulation of the problem of conduction of impulses in a network of connected excitable elements, specifically in cardiac muscle. Arch Inst Cardiol Mex 16:205-65 [PubMed]

Zandt BJ, Stigen T, Ten Haken B, Netoff T, van Putten MJ (2013) Single neuron dynamics during experimentally induced anoxic depolarization. J Neurophysiol 110:1469-75 [Journal] [PubMed]

Zandt BJ, ten Haken B, van Putten MJ, Dahlem MA (2015) How does spreading depression spread? Physiology and modeling. Rev Neurosci 26:183-98 [Journal] [PubMed]