Dynamics from Seconds to Hours in Hodgkin-Huxley Model with Time-Dependent Ion Concentrations and Buffer Reservoirs

Unification of Neuronal Spikes, Seizures, and Spreading Depression

(2014) Y. Wei et al.   JOURNAL OF NEUROSCIENCE

Bistable Dynamics Underlying Excitability of Ion Homeostasis in Neuron Models

(2014) Niklas Hübel et al.   PLoS Computational Biology

Linking a genetic defect in migraine to spreading depression in a computational model

(2014) Markus A. Dahlem et al.   PeerJ

Cortical spreading depression and migraine

(2013) Andrew C. Charles et al.   Nature Reviews Neurology

A Mathematical Model of the Metabolic and Perfusion Effects on Cortical Spreading Depression

(2013) Joshua C. Chang et al.   PLoS One

Transient Localized Wave Patterns and Their Application to Migraine

(2013) Markus A Dahlem et al.   Journal of Mathematical Neuroscience

Increased glucose availability does not restore prolonged spreading depression durations in hypotensive rats without brain injury

(2012) Ulrike Hoffmann et al.   EXPERIMENTAL NEUROLOGY

A Continuum Neuronal Model for the Instigation and Propagation of Cortical Spreading Depression

(2011) Wei Yao et al.   BULLETIN OF MATHEMATICAL BIOLOGY

Ion concentration dynamics as a mechanism for neuronal bursting

(2011) Ernest Barreto et al.   JOURNAL OF BIOLOGICAL PHYSICS

Erratum to: The influence of sodium and potassium dynamics on excitability, seizures, and the stability of persistent states: I. Single neuron dynamics

(2011) John R. Cressman et al.   JOURNAL OF COMPUTATIONAL NEUROSCIENCE

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

(2011) Jens P Dreier   NATURE MEDICINE

Neural Dynamics during Anoxia and the “Wave of Death”

(2011) Bas-Jan Zandt et al.   PLoS One

Perfusion Pressure-Dependent Recovery of Cortical Spreading Depression is Independent of Tissue Oxygenation over a Wide Physiologic Range

(2010) Inna Sukhotinsky et al.   JOURNAL OF CEREBRAL BLOOD FLOW AND METABOLISM

Spectrum measurement of fast optical signal of neural activity in brain tissue and its theoretical origin

(2010) Jonghwan Lee et al.   NEUROIMAGE

Assimilating Seizure Dynamics

(2010) Ghanim Ullah et al.   PLoS Computational Biology

The influence of sodium and potassium dynamics on excitability, seizures, and the stability of persistent states: I. Single neuron dynamics

(2009) John R. Cressman et al.   JOURNAL OF COMPUTATIONAL NEUROSCIENCE

Two-dimensional wave patterns of spreading depolarization: Retracting, re-entrant, and stationary waves

(2009) Markus A. Dahlem et al.   PHYSICA D-NONLINEAR PHENOMENA

Migraine Aura: Retracting Particle-Like Waves in Weakly Susceptible Cortex

(2009) Markus A. Dahlem et al.   PLoS One

A Quantitative Model of Cortical Spreading Depression Due to Purinergic and Gap-Junction Transmission in Astrocyte Networks

(2008) Max R. Bennett et al.   BIOPHYSICAL JOURNAL

Computer simulations of neuron-glia interactions mediated by ion flux

(2008) G. G. Somjen et al.   JOURNAL OF COMPUTATIONAL NEUROSCIENCE