Dependence of spontaneous neuronal firing and depolarization block on astroglial membrane processes
Catherine
Lloyd
Auckland Bioengineering Institute
Model Status
This CellML model is a tranlsation based on the orignal paper and Matlab code. The model runs in both COR and OpenCell to recreate the published results. This particular version of the model recreates Figure 2A, with a stimulus duration of 0.6s.
Model Structure
ABSTRACT: Exposed to a sufficiently high extracellular potassium concentration ([K+ ]o ), the neuron can fire spontaneous discharges or even become inactivated due to membrane depolarization ('depolarization block'). Since these phenomena likely are related to the maintenance and propagation of seizure discharges, it is of considerable importance to understand the conditions under which excess [K+ ]o causes them. To address the putative effect of glial buffering on neuronal activity under elevated [K+]o conditions, we combined a recently developed dynamical model of glial membrane water and ion transport with a Hodgkin-Huxley type neuron model. In this interconnected astroglia-neuron model we investigated the effects of natural heterogeneity or pathological changes in glial membrane transporter density by considering a large set of models with different, yet empirically plausible, sets of model parameters. We observed both the high [K+]o -induced duration of spontaneous neuronal firing and the prevalence of depolarization block to increase when reducing the magnitudes of the glial transport mechanisms. Further, in some parameter regions an oscillatory bursting spiking pattern due to the dynamical coupling of neurons and glia was observed. Bifurcation analyses of the neuron model and of a simplified version of the neuron-glia model revealed further insights about the underlying mechanism behind these phenomena. The above insights emphasise the importance of combining neuron models with detailed astroglial models when addressing phenomena suspected to be influenced by the astroglia-neuron interaction. To facilitate the use of our neuron-glia model, a CellML version of it is made publicly available.
Schematic diagram of the model displaying the channels, pumps and exchangers allowing ion transfer between the neuron, the extracellular matrix and the glia.
The original paper reference is cited below:
Dependence of spontaneous neuronal firing and depolarization block on astroglial membrane processes, Leiv Oyehaug, Ivar Ostby, Catherine M. Lloyd, Stog W. Omholt, and Gaute T. Einevoll, 2011, Journal of Computational Neuroscience.
Vm_n
neuron membrane potential
i_NaT
transient sodium current
i_NaP
persistent sodium current
i_KDR
delayed rectifier potassium current
i_KA
transient potassium current
i_NaKATPase_n
neuron sodium-potassium pump
i_leakNa
sodium leak current
i_leakK
potassium leak current
i_leakf
unspecified ion leak current
Vm_g
glial membrane potential
J_Na
glial transmembrane sodium ion flux
J_K
glial transmembrane potassium ion flux
J_NaKATPase_g
glial transmembrane sodium-potassium ion flux via the NaK pump
J_NBC
glial transmembrane sodium and bicarbonate ion flux via the NBC cotransporter
J_NKCC1
glial transmembrane sodium potassium and chloride ion flux via the NKCC1 cotransporter
N_Nag
number of sodium ions per unit glial area
N_Kg
number of potassium ions per unit glial area
wg
ratio of glial volume to glial area
wo
extracellular space volume to area ratio
N_Nao
number of sodium ions in the extracellular space
N_Ko
number of potassium ions in the extracellular space
N_HCO3o
number of bicarbonate ions in the extracellular space
electric_potentials
electric potentials
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10001000000.01electrophysiologyneurobiologyastrogliaAuckland Bioengineering InstituteIvarOstbyStigOmholtThe University of AucklandAuckland Bioengineering InstituteCatherineLloydMayLievOyehaugDependence of spontaneous neuronal firing and depolarization block on astroglial membrane processes: Fig 2A2011-03-30T00:00:00+00:002009-00-00 00:00CatherineLloydkeywordOleOttersenc.lloyd@auckland.ac.nzGauteEinevoll