Ion Gradient-driven Bifurcations of a Multi-Scale Neuronal Model DOI Creative Commons
Anthony G. Chesebro, Lilianne R. Mujica‐Parodi, Corey Weistuch

et al.

bioRxiv (Cold Spring Harbor Laboratory), Journal Year: 2022, Volume and Issue: unknown

Published: Oct. 5, 2022

Abstract Metabolic limitations within the brain frequently arise in context of aging and disease. As largest consumers energy brain, ion pumps that maintain neuronal membrane potential are most affected when supply becomes limited. To characterize effects such limitations, we analyze gradients present Larter-Breakspear neural mass model. We show existence locations Neimark-Sacker period-doubling bifurcations sodium, calcium, potassium reversal potentials, demonstrate these form physiologically relevant bounds gradient variability. Within bounds, how depolarization will cause decreased activity. also decreases inter-regional coherence, causing a shift critical point at which coupling occurs thereby inducing loss synchrony between regions. In this way, model captures variability microscale level propagates changes to macroscale congruent with those observed human neuroimaging studies.

Language: Английский

Occurrence of mixed-mode oscillations in a system consisting of a Van der Pol system and a Duffing oscillator with two potential wells DOI
Weipeng Lyu, Shaolong Li, Juanjuan Huang

et al.

Nonlinear Dynamics, Journal Year: 2024, Volume and Issue: 112(8), P. 5997 - 6013

Published: Feb. 27, 2024

Language: Английский

Citations

2
Multi-scale modelling of the epileptic brain: advantages of computational therapy exploration DOI

Rongqi Hong,

Tingting Zheng,

Vincenzo Marra

et al.

Journal of Neural Engineering, Journal Year: 2024, Volume and Issue: 21(2), P. 021002 - 021002

Published: April 1, 2024

Abstract Objective : Epilepsy is a complex disease spanning across multiple scales, from ion channels in neurons to neuronal circuits the entire brain. Over past decades, computational models have been used describe pathophysiological activity of epileptic brain different aspects. Traditionally, each model can aid optimizing therapeutic interventions, therefore, providing particular view design strategies for treating epilepsy. As result, most studies are concerned with generating specific that help us understand certain machinery pathological state. Those vary complexity and biological accuracy, system-level often lacking details. Approach Here, we review various types epilepsy discuss their potential approaches scenarios, including drug discovery, surgical strategies, stimulation, seizure prediction. We propose need consider an integrated approach unified modelling framework scales Our proposal based on recent increase power, which has opened up possibility unifying those into simulations unprecedented level detail. Main results A multi-scale bridge gap between biologically detailed models, address molecular cellular questions, brain-wide abstract account neurological behavioural observations. Significance With these efforts, move toward next generation capable connecting features, such as channel properties, standard clinical measures severity.

Language: Английский

Citations

2
A geometric analysis of the impact of large but finite switching rates on vaccination evolutionary games DOI Creative Commons
Rossella Della Marca, Alberto d’Onofrio, Mattia Sensi

et al.

Nonlinear Analysis Real World Applications, Journal Year: 2023, Volume and Issue: 75, P. 103986 - 103986

Published: Aug. 17, 2023

In contemporary society, social networks accelerate decision dynamics causing a rapid switch of opinions in number fields, including the prevention infectious diseases by means vaccines. This that opinion can nowadays be much faster than spread epidemics. Hence, we propose Susceptible–Infectious–Removed epidemic model coupled with an evolutionary vaccination game embedding public health system efforts to increase vaccine uptake. results global "epidemic + game". The epidemiological novelty this work is assume switching strategy "pro vaccine" depends on incidence disease. As consequence above-mentioned accelerated decisions, acts two different scales: fast scale for decisions and slower Another, more methodological, element apply Geometrical Singular Perturbation Theory (GSPT) such two-scale then compare geometric analysis Quasi-Steady-State Approximation (QSSA) approach, showing criticality latter. Later, GSPT approach disease prevalence-based already studied (Della Marca d'Onofrio, Comm Nonl Sci Num Sim, 2021) via QSSA considering medium–large values parameter.

Language: Английский

Citations

4
Population Dynamics in Networks of Izhikevich Neurons with Global Delayed Coupling DOI
Liang Chen, Sue Ann Campbell

SIAM Journal on Applied Dynamical Systems, Journal Year: 2024, Volume and Issue: 23(3), P. 2293 - 2322

Published: Aug. 27, 2024

Language: Английский

Citations

1
On novel peer review system for academic journals: analysis based on social computing DOI
Li Liu, Qian Wang,

Zong-Yuan Tan

et al.

Nonlinear Dynamics, Journal Year: 2023, Volume and Issue: 111(12), P. 11613 - 11627

Published: March 27, 2023

Language: Английский

Citations

3
Comparison between an exact and a heuristic neural mass model with second order synapses DOI Creative Commons
Pau Clusella, Elif Köksal Ersöz, Jordi García‐Ojalvo

et al.

bioRxiv (Cold Spring Harbor Laboratory), Journal Year: 2022, Volume and Issue: unknown

Published: June 16, 2022

Abstract Neural mass models (NMMs) are designed to reproduce the collective dynamics of neuronal populations. A common framework for NMMs assumes heuristically that output firing rate a neural population can be described by static nonlinear transfer function (NMM1). However, recent exact mean-field theory quadratic integrate-and-fire (QIF) neurons challenges this view showing mean is not state but follows two coupled non-linear differential equations (NMM2). Here we analyze and compare these descriptions in presence second-order synaptic dynamics. First, derive mathematical equivalence between infinitely slow synapse limit, i.e., show NMM1 an approximation NMM2 regime. Next, evaluate applicability limit context realistic physiological parameter values analyzing with inhibitory or excitatory synapses. We fails important dynamical features model, such as self-sustained oscillations interneuron QIF network. Furthermore, model one, stimulation pyramidal cell induces resonant oscillatory activity whose peak frequency amplitude increase self-coupling gain external input. This may play role enhanced response densely connected networks weak uniform inputs, electric fields produced non-invasive brain stimulation.

Language: Английский

Citations

4
Accurate and Efficient Simulation of Very High-Dimensional Neural Mass Models with Distributed-Delay Connectome Tensors DOI Creative Commons
Anisleidy González Mitjans, Deirel Paz-Linares,

Carlos López Naranjo

et al.

NeuroImage, Journal Year: 2023, Volume and Issue: 274, P. 120137 - 120137

Published: April 26, 2023

This paper introduces methods and a novel toolbox that efficiently integrates high-dimensional Neural Mass Models (NMMs) specified by two essential components. The first is the set of nonlinear Random Differential Equations (RDEs) dynamics each neural mass. second highly sparse three-dimensional Connectome Tensor (CT) encodes strength connections delays information transfer along axons connection. To date, simplistic assumptions prevail about in CT, often assumed to be Dirac-delta functions. In reality, are distributed due heterogeneous conduction velocities connecting masses. These distributed-delay CTs challenging model. Our approach implements these models leveraging several innovations. Semi-analytical integration RDEs done with Local Linearization (LL) scheme for mass, ensuring dynamical fidelity original continuous-time dynamic. semi-analytic LL computationally-efficient. addition, tensor representation CT facilitates parallel computation. It also seamlessly allows modeling any level complexity or realism. ease implementation includes CTs. Consequently, our algorithm scales linearly number masses equations they represented with, contrasting more traditional scale quadratically at best. illustrate toolbox's usefulness, we simulate single Zetterberg-Jansen Rit (ZJR) cortical column, thalmo-cortical unit, toy example comprising 1000 interconnected ZJR columns. simulations demonstrate consequences modifying especially introducing delays. examples explaining EEG oscillations, e.g., split alpha peaks, since only appear distinct We provide an open-source Script toolbox.

Language: Английский

Citations

2
The dynamics and theoretical analysis underlying periodic bursting in the non-smooth Murali–Lakshmanan–Chua circuit DOI
Jinchen Song, Nan Ma, Zhengdi Zhang

et al.

Journal of Circuits Systems and Computers, Journal Year: 2023, Volume and Issue: 33(10)

Published: Dec. 17, 2023

Motivated by the study of multiple time scale system dynamics, we analyze Murali–Lakshmanan–Chua (MLC) dissipative circuit exhibiting periodic bursting with different types oscillations in this paper. Such patterns can be analyzed treating slow variable as a parameter nonsmooth fast subsystem. The discontinuous bifurcation structure subsystem described generalized differential Clarke and Jacobian matrix system. Bursting well oscillation mechanisms clarified bifurcations, series phase portraits. For chosen values, designed admits both MLC type attractors Duffing–van der Pol attractors. It is found that not only features combined parameters system, but also two switching boundaries may have an important impact on origin behaviors. In particular, explicit analytic solutions proposed are investigated detail. We show arise from either saddle-node or passage through Hopf bifurcation. Finally, validity theoretical analysis has been verified numerical simulations.

Language: Английский

Citations

2
Ketosis regulates K+ion channels, strengthening brain-wide signaling disrupted by age DOI Creative Commons
Helena van Nieuwenhuizen, Anthony G. Chesebro,

Claire Polizu

et al.

bioRxiv (Cold Spring Harbor Laboratory), Journal Year: 2023, Volume and Issue: unknown

Published: May 11, 2023

Abstract Aging is associated with impaired signaling between brain regions when measured using resting-state fMRI. This age-related destabilization and desynchronization of networks reverses itself the switches from metabolizing glucose to ketones. Here, we probe mechanistic basis for these effects. First, established their neuronal two datasets acquired EEG ( Lifespan: standard diet, 20-80 years, N = 201; Metabolic: individually weight-dosed calorically-matched ketone ester challenge, μ age 26.9 ± 11.2 36). Then, multi-scale Larter-Breakspear neural mass model, identified unique set parameters consistent our clinical data. Together, results implicate potassium (K + ) gradient dysregulation as a mechanism its reversal ketosis, latter finding which direct measurement ion channels.

Language: Английский

Citations

1
New phenomena in Rulkov map based on Poincaré cross section DOI
Yang Wang, Xiaoxue Zhang, Song Liang

et al.

Nonlinear Dynamics, Journal Year: 2023, Volume and Issue: 111(20), P. 19447 - 19458

Published: Sept. 13, 2023

Language: Английский

Citations

1