Emergence of stochastic resonance in a two-compartment hippocampal pyramidal neuron model

Ghori, Muhammad Bilal; Kang, Yanmei; Chen, Yaqian

doi:10.1007/s10827-021-00808-2

Cited by 14 publications

(4 citation statements)

References 70 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…1). [18] The neuronal network is located in an approximate rectangular space with the x-axis direction representing the longitudinal direction and the y-axis direction representing the transverse direction, as shown in Fig. 1.…”

Section: Neuronal Firing Networkmentioning

confidence: 99%

“…Before proceeding with the simulation of the relevant experiments, we first verify that the model is able to simulate fast and slow waves in the hippocampal phenomenon while cutting off other neuronal connections. [18] We adjusted all channel conductance of the model to normal values and simulated the maintenance of extracellular magnesium and calcium ion concentrations at equilibrium. In the simulated hippocampal sections, we inserted virtual 'electrodes' to record the membrane potential changes of the neuronal cells in two directions during the simulation (see Fig.…”

Section: Slow Periodic Waves Propagating Nonsynaptically In the Modelmentioning

confidence: 99%

See 1 more Smart Citation

Coexisting fast–slow dendritic traveling waves in a 3D-array electric field coupled neuronal network

Wei 魏,

Ren 任,

Lu 卢

et al. 2024

Chinese Phys. B

View full text Add to dashboard Cite

The coexistence of fast and slow traveling waves has been found without synaptic transmission in hhhippocampal tissues, which is closely related to both normal brain activity and abnormal neural activity such as epileptic discharge. However, the propagation mechanism behind this coexistence phenomenon remains unclear. In this paper, a three-dimensional electric field coupled hippocampal neural network was established to further investigate the generation of the coexisting spontaneous fast and slow traveling waves. This model captured two-types of dendritic traveling waves propagating in both transverse and longitude directions: the NMDA-dependent wave with a speed of about 0.1m/s and the Ca-dependent wave with a speed of about 0.009m/s. These traveling waves are synaptic-independent and could be conducted only by the electric fields generated by neighboring neurons, which are basically consistent with the data measured in vitro experiments. It was also found that the slow Ca wave could trigger the generation of the fast NMDA wave during the propagation path of slow wave whereas fast NMDA waves cannot affect the propagation of slow Ca waves. These results suggested that dendritic Ca wave could acted as the source of the coexistence fast and slow waves. Furthermore,we also confirmed the impact of cellular spacing heterogeneity on the onset of coexisting fast and slow waves. The local region with decreasing distances among neighbor neurons is more liable to promote the onset of spontaneous slow wave which as a source excites the propagation of fast wave.These modeling studies provide the possible biophysical mechanisms underlying the neural dynamics of spontaneous travelling waves in brain tissues.

show abstract

Section: Neuronal Firing Networkmentioning

confidence: 99%

Section: Slow Periodic Waves Propagating Nonsynaptically In the Modelmentioning

confidence: 99%

Coexisting fast–slow dendritic traveling waves in a 3D-array electric field coupled neuronal network

Wei 魏,

Ren 任,

Lu 卢

et al. 2024

Chinese Phys. B

View full text Add to dashboard Cite

show abstract

“…The earliest model dates back to the 19compartment model proposed by Traub et al in 1991, which was designed to replicate the firing patterns of hippocampal CA3 and CA1 pyramidal neurons [26]. In 1994, Pinsky and Rinzel simplified the Traub model and proposed the twocompartment PR model [27], which has become one of the most widely used pyramidal neuron models [28,29]. However, these classic models mainly focus on somatic action potentials and pay less attention to multi-timescale dendritic oscillations, limiting their ability to replicate compound oscillations.…”

Section: Introductionmentioning

confidence: 99%

Multi-Timescale Compound Oscillations in Pyramidal Neurons: Insights from a Three-Compartment Model

Zhang,

Lu,

Wei

2024

Preprint

View full text Add to dashboard Cite

Oscillation activities are widely observed in neurons and are critical to the brain's physiological functions. A significant phenomenon among these activities is the simultaneous presence of multiple oscillations at different frequencies, referred to as compound oscillations, which are particularly evident in epileptiform activity. However, the dynamical mechanisms underlying compound oscillations remain unknown. In this study, we develop and analyze a three-compartment pyramidal neuron model to address this problem. The model incorporates somatic Na+, dendritic Ca2+ and N-methyl-D-aspartate (NMDA)-mediated firing behaviors, capturing the multi-timescale dynamics essential for understanding compound oscillations. Phase-plane analysis reveals that Ca2+ firing behaviors in apical dendrite are relaxation oscillations, characterized by two timescales. Using geometric singular perturbation theory, we show that NMDA and Na+ firing behaviors involve three timescales. Specifically, NMDA firing behaviors in basal dendrite manifest as square-wave bursting, accompanied by Na+ action potentials in soma. Moreover, bifurcation analysis indicates that Ca2+ firing behaviors lead to the alternation of homoclinic bifurcation and saddle-node bifurcation on an invariant cycle (SNIC), which cause the occurrence and disappearance of bursting in basal dendrite. We also explore the impact of NMDA receptor conductance on these oscillatory patterns. Simulation results validate that impairment or excessive activation of NMDA receptors can lead to pathological compound oscillations, which have significant physiological implications. These insights gained from this model not only advance our understanding of neuronal function but also have potential implications for developing therapeutic strategies for neurological disorders characterized by compound oscillations.

show abstract

“…The combination of a thorough bifurcation analysis, a comprehensive literature review, and the application of numerical continuation techniques establish valuable insights into the intricate dynamics of predator-prey interactions and their implications for ecological management. Mathematical modeling and bifurcation analysis do not find application only in the field of mathematical ecology such as predator-prey modeling [6][7][8][9][10][11][12][13], but are widely used to derive dynamic process models in the field of mathematical epidemiology such as disease modeling [14][15][16][17][18][19][20][21][22][23][24][25][26][27][28], artificial intelligence [29][30][31][32][33], and other fields of science and technology [34][35][36][37][38][39][40][41]. Researchers continuously work in the field of mathematical ecology to present the challenges and suggest solutions to help future researchers of the respective field understand the existing research gaps.…”

Section: Introductionmentioning

confidence: 99%

Bifurcation analysis of a discrete-time prey-predator model

Naik,

Eskandari,

Shahkari

et al. 2023

BBM

View full text Add to dashboard Cite

This paper investigates the importance of studying the dynamics of predator-prey systems and the specific significance of Neimark-Sacker and period-doubling bifurcations in discrete-time prey-predator models. By conducting a numerical bifurcation analysis and examining bifurcation diagrams and phase portraits, we present important results that differentiate our study from others in the field. Firstly, our analysis reveals the occurrence of Neimark-Sacker and period-doubling bifurcations in the model under certain parameter values. These bifurcations lead to the emergence of stable limit cycles characterized by complex and unpredictable dynamics. This finding emphasizes the inherent complexity and nonlinearity of predator-prey systems and contributes to a deeper understanding of their dynamics. Additionally, our study highlights the advantages and limitations of employing discrete-time models in population dynamics research. The use of discrete-time models allows for a more tractable analysis while still capturing significant aspects of ecological systems. In conclusion, this study holds importance in shedding light on the dynamics of predator-prey systems and the specific role of Neimark-Sacker and period-doubling bifurcations. Our findings contribute to the understanding of predator-prey systems and offer implications for ecological management strategies.

show abstract

Emergence of stochastic resonance in a two-compartment hippocampal pyramidal neuron model

Cited by 14 publications

References 70 publications

Coexisting fast–slow dendritic traveling waves in a 3D-array electric field coupled neuronal network

Coexisting fast–slow dendritic traveling waves in a 3D-array electric field coupled neuronal network

Multi-Timescale Compound Oscillations in Pyramidal Neurons: Insights from a Three-Compartment Model

Bifurcation analysis of a discrete-time prey-predator model

Contact Info

Product

Resources

About