Slow ion concentration oscillations and multiple states in neuron–glia interaction—insights gained from reduced mathematical models

Frontiers in Network Physiology, Journal Year: 2023, Volume and Issue: 3

Published: May 22, 2023

When potassium in the extracellular space separating neurons and glia reaches sufficient levels, may fire spontaneous action potentials or even become inactivated due to membrane depolarisation, which, turn, lead increased levels. Under certain circumstances, this chain of events trigger periodic bursts neuronal activity. In present study, reduced neuron-glia models are applied explore relationship between bursting behaviour ion concentration dynamics. These built based on a previously developed model, which channel-mediated sodium currents replaced by function concentrations. Simulated dynamics resulting two display features that qualitatively similar those existing model. Bifurcation analyses show rich interesting include existence Hopf bifurcations exhibit slow oscillations for wide range parameter values. The study demonstrates very simple can provide insights possible relevance complex phenomena.

Language: Английский

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Multilevel Mathematical Model of Epileptic Seizures

Mathematical Biology and Bioinformatics, Journal Year: 2023, Volume and Issue: 18(2), P. 479 - 516

Published: Dec. 8, 2023

The paper presents novel developed modular mathematical model of epileptic seizures, obtained by combining and modifying existing models epilepsy, which for the first time makes it possible to simulate dynamics seizure onset, propagation termination simultaneously at cellular regional levels brain organization. At level individual cells, AMPA receptor trafficking, changes in concentrations intra- extracellular ions, membrane depolarization, other biophysical processes responsible development ictal activity were calculated. Local field potentials regions modeled taking into account large-scale structure network. It is shown that submodels used multilevel corresponds original models, authors validated them with experimental data. theoretical justification connections between was given.

Language: Английский

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An exploratory computational analysis in mice brain networks of widespread epileptic seizure onset locations along with potential strategies for effective intervention and propagation control

Frontiers in Computational Neuroscience, Journal Year: 2024, Volume and Issue: 18

Published: Feb. 25, 2024

Mean-field models have been developed to replicate key features of epileptic seizure dynamics. However, the precise mechanisms and role brain area responsible for onset propagation remain incompletely understood. In this study, we employ computational methods within The Virtual Brain framework Epileptor model explore how location connectivity an Epileptogenic Zone (EZ) in a mouse are related focal seizures (seizures that start one may or not localized), with specific focus on hippocampal region known its association seizures. We then devise strategies confine (prevent widespread propagation), simulating medical-like treatments such as tissue resection application anti-seizure drugs neurostimulation suppress hyperexcitability. Through selectively removing (blocking) connections informed by structural connectome graph network measurements locally reducing outgoing connection weights EZ areas, demonstrate can be kept constrained around region. successfully identified minimal necessary prevent seizures, particular minimizing surgical medical intervention while simultaneously preserving original maximizing functionality.

Language: Английский

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Dynamical modulation of hypersynchronous seizure onset with transcranial magneto-acoustic stimulation in a hippocampal computational model

Chaos An Interdisciplinary Journal of Nonlinear Science, Journal Year: 2024, Volume and Issue: 34(4)

Published: April 1, 2024

Hypersynchronous (HYP) seizure onset is one of the frequently observed seizure-onset patterns in temporal lobe epileptic animals and patients, often accompanied by hippocampal sclerosis. However, exact mechanisms ion dynamics transition to HYP seizures remain unclear. Transcranial magneto-acoustic stimulation (TMAS) has recently been proposed as a novel non-invasive brain therapy method modulate neurological disorders. Therefore, we propose biophysical computational network model explore evolution caused changes crucial physiological parameters design an effective TMAS strategy onset. We find that cooperative effects abnormal glial uptake strength potassium excessive bath concentration could produce multiple discharge result transitions from normal state ultimately depolarization block state. Moreover, pyramidal neuron PV+ interneuron exhibit saddle-node-on-invariant-circle/saddle homoclinic (SH) saddle-node/SH at onset/offset bifurcation pairs, respectively. Furthermore, response neuronal activities different ultrasonic waveforms revealed lower sine wave can increase latency even completely suppress seizures. More importantly, parameter area not only effectively regulates rhythms but also within safety limits ultrasound neuromodulation therapy. Our results may offer more comprehensive understanding provide theoretical basis for application treating specific types

Language: Английский

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Modeling impairment of ionic regulation with extended Adaptive Exponential integrate-and-fire models

bioRxiv (Cold Spring Harbor Laboratory), Journal Year: 2024, Volume and Issue: unknown

Published: Aug. 5, 2024

Abstract To model the dynamics of neuron membrane excitability many models can be considered, from most biophysically detailed to highest level phenomenological description. Recent works at single have shown importance taking into account evolution slow variables such as ionic concentration. A reduction a integrate-and-fire family is interesting then go large network models. In this paper, we introduce way consider impairment regulation by adding third, slow, variable adaptive Exponential (AdEx). We implement and simulate including model. find that was able generate normal epileptic discharges. This should useful for design simulations pathological states.

Language: Английский

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