Dynamical Properties of Excitable Membranes

Baxter, Douglas A.; Byrne, John H.

doi:10.1016/b978-0-12-397179-1.00014-2

Cited by 4 publications

(3 citation statements)

References 82 publications

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“…The simulation code has been uploaded to modelDB at https://senselab.med.yale.edu/modeldb/enterCode?model= 267338#tabs-1. The network consists of 100 single compartment model neurons with five state variables: the membrane potential, V, and four gating variables (m, h, n, and a) that use the same kinetic equations as the original Hodgkin-Huxley model [91,92], but with different parameters tuned to replicate the dynamics of fast spiking neurons in the mEC. Also, consistent with other models of fast-spiking interneurons [56,93], we included two delayed rectifier K + currents (I Kv1 and I Kv3 ).…”

Section: Methodsmentioning

confidence: 99%

Interneuronal network model of theta-nested fast oscillations predicts differential effects of heterogeneity, gap junctions and short term depression for hyperpolarizing versus shunting inhibition

et al. 2022

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Theta and gamma oscillations in the hippocampus have been hypothesized to play a role in the encoding and retrieval of memories. Recently, it was shown that an intrinsic fast gamma mechanism in medial entorhinal cortex can be recruited by optogenetic stimulation at theta frequencies, which can persist with fast excitatory synaptic transmission blocked, suggesting a contribution of interneuronal network gamma (ING). We calibrated the passive and active properties of a 100-neuron model network to capture the range of passive properties and frequency/current relationships of experimentally recorded PV+ neurons in the medial entorhinal cortex (mEC). The strength and probabilities of chemical and electrical synapses were also calibrated using paired recordings, as were the kinetics and short-term depression (STD) of the chemical synapses. Gap junctions that contribute a noticeable fraction of the input resistance were required for synchrony with hyperpolarizing inhibition; these networks exhibited theta-nested high frequency oscillations similar to the putative ING observed experimentally in the optogenetically-driven PV-ChR2 mice. With STD included in the model, the network desynchronized at frequencies above ~200 Hz, so for sufficiently strong drive, fast oscillations were only observed before the peak of the theta. Because hyperpolarizing synapses provide a synchronizing drive that contributes to robustness in the presence of heterogeneity, synchronization decreases as the hyperpolarizing inhibition becomes weaker. In contrast, networks with shunting inhibition required non-physiological levels of gap junctions to synchronize using conduction delays within the measured range.

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Section: Methodsmentioning

confidence: 99%

Interneuronal network model of theta-nested fast oscillations predicts differential effects of heterogeneity, gap junctions and short term depression for hyperpolarizing versus shunting inhibition

et al. 2022

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“…Furthermore, each ionic channel can be studied as containing one or more physical gates which can assume either a permissive or a non-permissive state when controlling the flow of ions. The channel is open when all gates are in the permissive state, and it is closed when all of them are in the non-permissive state (Baxter and Byrne, 2014 ).…”

Section: Methodsmentioning

confidence: 99%

Reconfigurable Filtering of Neuro-Spike Communications Using Synthetically Engineered Logic Circuits

Adonias

Šiljak

Barros

et al. 2020

Front. Comput. Neurosci.

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“…neurons with five state variables: the membrane potential, V, and four gating variables (m, h, n, and a) that use the same kinetic equations as the original Hodgkin-Huxley model[76,77], but with different parameters tuned to replicate the dynamics of fast spiking neurons in the mEC. Also, consistent with other models of fastspiking interneurons[51,78], we included two delayed rectifier K + currents (IKv1 and IKv3) .…”

mentioning

confidence: 99%

Interneuronal network model of theta-nested fast oscillations predicts differential effects of heterogeneity, gap junctions and short term depression for hyperpolarizing versus shunting inhibition

Via

Fernandez

White

et al. 2022

Preprint

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Theta and gamma oscillations in the hippocampus have been hypothesized to play a role in the encoding and retrieval of memories. Recently, it was shown that an intrinsic fast gamma mechanism in medial entorhinal cortex can be recruited by optogenetic stimulation at theta frequencies, which can persist with fast excitatory synaptic transmission blocked, suggesting a contribution of interneuronal network gamma (ING). We calibrated the passive and active properties of a 100-neuron model network to capture the range of passive properties and frequency/current relationships of experimentally recorded PV+ neurons in the medial entorhinal cortex (mEC). The strength and probabilities of chemical and electrical synapses were also calibrated using paired recordings, as were the kinetics and short-term depression (STD) of the chemical synapses. Gap junctions that contribute a noticeable fraction of the input resistance were required for synchrony with hyperpolarizing inhibition; these networks exhibited theta-nested high frequencies (~200 Hz) similar to the putative ING observed experimentally in the optogenetically-driven PV-ChR2 mice. With STD included in the model, fast oscillations were only observed before the peak of the theta drive, whereas without STD, they were observed symmetrically before and after the peak. Because hyperpolarizing synapses provide a synchronizing drive that contributes to robustness in the presence of heterogeneity, synchronization decreases as the hyperpolarizing inhibition becomes weaker. In contrast, networks with shunting inhibition required non-physiological levels of gap junctions to synchronize using conduction delays within the measured range; synaptic depression of shunting synapses facilitated fast oscillations, suggesting that shunting inhibition in mEC is desynchronizing.

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Dynamical Properties of Excitable Membranes

Cited by 4 publications

References 82 publications

Interneuronal network model of theta-nested fast oscillations predicts differential effects of heterogeneity, gap junctions and short term depression for hyperpolarizing versus shunting inhibition

Interneuronal network model of theta-nested fast oscillations predicts differential effects of heterogeneity, gap junctions and short term depression for hyperpolarizing versus shunting inhibition

Reconfigurable Filtering of Neuro-Spike Communications Using Synthetically Engineered Logic Circuits

Interneuronal network model of theta-nested fast oscillations predicts differential effects of heterogeneity, gap junctions and short term depression for hyperpolarizing versus shunting inhibition

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