Biophysical neurons, energy, and synapse controllability: a review

Ma, Jun

doi:10.1631/jzus.a2200469

Cited by 105 publications

(14 citation statements)

References 201 publications

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“…As proposed and discussed in [17], magnetic flux is used to describe the effect of electromagnetic induction and memristor is considered to realise coupling between membrane potential and magnetic flux. This approach allows for a physical interpretation of the relationship between the induction field and action potential [48]. In addition to the magnetic coupling, we also consider the cross synaptic coupling between membrane potential and magnetic flux in chemical mode.…”

Section: Two Coupled Systemmentioning

confidence: 99%

Chemically coupled Hindmarsh–Rose neurons with cross interactions between membrane potential and magnetic flux

Remi¹,

Subha²

2023

J. Phys. A: Math. Theor.

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In this work, we have analysed the synchronous dynamics and pattern formation in Hindmarsh-Rose neurons with cross interactions between membrane potential and magnetic flux, in the chemical mode. The self, mixed and cross interactions are realised by varying coupling phase. The magnetic flux induces plateau bursting and amplitude death in the network. The self chemical coupling induces synchrony, whereas, the cross coupling is incapable of it. However, the cross coupling acts along with self coupling to form mixed coupling and induces synchrony in the system. The stability of the synchronous state has been studied by Master stability approach. The parameter space reveals the bifurcation point at which cross coupling overrides self coupling effects. The synchronising ability of interactions are justified in a network of neurons as well. The statistical factor of synchronisation quantifies the amount of synchrony in the network in different interaction modes. The combined effect of non local interactions and mixed coupling of variables initiates the emergence of chimera and multichimera states. However, in cross-coupled systems, only incoherent states are present. The existence of chimera and multichimera states are confirmed by calculating the strength of incoherence and discontinuity measure. The analysis of spatiotemporal patterns reveals the presence of travelling chimeras within the network. The Hamilton energy function indicate that a greater amount of energy is required to sustain coherent neurons at higher potential. This work may enhance the understanding of chimera states and improve its applicability to real-world systems.

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Section: Two Coupled Systemmentioning

confidence: 99%

Chemically coupled Hindmarsh–Rose neurons with cross interactions between membrane potential and magnetic flux

Remi¹,

Subha²

2023

J. Phys. A: Math. Theor.

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“…The SNR is often defined as SNR =10 log10(S/B) , where S and B represent the values of the output power spectrum density (PSD) at the peak (height of the signal peak) and the base of the signal feature (the amplitude of the background noise measured at the base of the signal peak), respectively. For a deterministic neuron model, similar complete bifurcation analysis can be provide to discover mode selection in the neural activities, readers can find some clues in the recent works [49,69,70].…”

Section: ¢ + ¢mentioning

confidence: 99%

“…In particular, these different functional neurons can be combined to build a functional neural network [44][45][46][47][48], and the hybrid synapses are helpful for fast energy exchange and control of the synchronous firing patterns. For more detailed clarification, readers can find physical explanations for these functional neuron models in the review [49].…”

Section: Introductionmentioning

confidence: 99%

Energy flow and stochastic resonance in a memristive neuron

Hou,

Hu,

Guo

et al. 2023

Phys. Scr.

Self Cite

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Static distribution of intracellular ions including calcium, sodium and potassium activates spatial distribution of electric field and energy is kept in the biological neurons. Continuous propagation of the intracellular and extracellular ions across the membrane channels can induce magnetic field accompanying with diffusion of field energy as well. In this paper, two kinds of memristors are connected in parallel and they are used as memristive channels for building a new neural circuit, which can perceive external magnetic field and electric field synchronously. The memristive channel developed from the charge-controlled memristor (CCM) can discern the changes of external electric field, and another memristive channel based on the magnetic flux-controlled memristor (MFCM) can detect the fluctuation of external magnetic field. The inner electromagnetic field energy is shunted between the capacitor, inductor and two memristors, and the inner field energy is described by an equivalent Hamilton energy H for this neuron including a sum for four terms (H C , H L , H M , H W ). The energy proportion of memristive channel to total energy is controlled to realize mode selection and transition in the firing patterns. Noisy disturbance is applied to discern the occurrence of stochastic resonance in this memristive neuron.

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“…Nonlinear physical concepts such as threshold and bifurcation are widely used in neuroscience to study the dynamics of firing behaviors in neurons. [1][2][3][4][5][6][7][8] These concepts play important roles in understanding brain functions and diseases, such as information coding, locomotion, and seizure. [9][10][11][12][13][14][15] The threshold is a basic conception to represent neuronal excitation property to external stimulation.…”

Section: Introductionmentioning

confidence: 99%

Bifurcations for counterintuitive post-inhibitory rebound spike related to absence epilepsy and Parkinson disease

Wang

Jia

et al. 2023

Chinese Phys. B

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Seizures are caused by increased neuronal firing activity resulting from reduced inhibitory effect and enhancement of inhibitory modulation to suppress this activity is used as a therapeutic tool. However, recent experiments have shown a counterintuitive phenomenon that inhibitory modulation does not suppress but elicit post-inhibitory rebound (PIR) spike along with seizure to challenge the therapeutic tool. The nonlinear mechanism to avoid the PIR spike can present theoretical guidance to seizure treatment. This paper focuses on identifying credible bifurcations that underlie PIR spike by modulating multiple parameters in multiple theoretical models. The study identifies a codimension-2 bifurcation called Saddle-Node Homoclinic Orbit (SNHOB), which is an intersection between saddle node bifurcation on invariant cycle (SNIC) and other two bifurcations. PIR spike cannot be evoked for the SNIC far from the SNHOB but induced for the SNIC close to the SNHOB, which extends the bifurcation condition for PIR spike from the well-known Hopf to SNIC. Especially, in a thalamic neuron model, increases of conductance of T-type Ca2+ (TCa) channel induce SNIC bifurcation approaching to the SNHOB to elicit PIR spikes, closely matching experimental results of the absence seizure or Parkinson diseases. Such results imply that, when inhibition is employed to relieve absence seizure and Parkinson diseases related to PIR spike, modulating SNIC to get far from the SNHOB to avoid PIR spike is the principle. The study also addresses the complex roles of TCa current and comprehensive relationships between PIR spike and nonlinear conceptions such as bifurcation types and shapes of threshold curve.

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Biophysical neurons, energy, and synapse controllability: a review

Cited by 105 publications

References 201 publications

Chemically coupled Hindmarsh–Rose neurons with cross interactions between membrane potential and magnetic flux

Chemically coupled Hindmarsh–Rose neurons with cross interactions between membrane potential and magnetic flux

Energy flow and stochastic resonance in a memristive neuron

Bifurcations for counterintuitive post-inhibitory rebound spike related to absence epilepsy and Parkinson disease

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