Energy consumption and information transmission in model neurons

Torrealdea, Francisco; Sarasola, C.; D’Anjou, Alicia

doi:10.1016/j.chaos.2007.07.050

Cited by 34 publications

(20 citation statements)

References 32 publications

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“…As a statistical explanation for the propagating wave of the neuronal collective electric activities, we introduced a synchronization factor [30][31][32], discussed in Eq. (17)- (19), where R = 1 means that v i j are in a perfect synchronization state and R = 0 denotes a complete de-synchronization state.…”

Section: Collective Electric Activities Of Neuronal Networkmentioning

confidence: 99%

“…In this paper, we focused on accomplishing the translation between the absorbed power of electromagnetic radiation and the polarizing current in neuronal soma with a mathematical method based on the neuronal Hodgkin-Huxley electrical circuit [25][26][27][28] and the differential model of energy cost of this electrical circuit [29][30][31][32]. We simulated the process of neuron absorbing power from electromagnetic radiation, and an additional current, translated from this absorbed power, was applied to the Hodgkin-Huxley model.…”

Section: Introductionmentioning

confidence: 99%

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Suppression of firing activities in neuron and neurons of network induced by electromagnetic radiation

Liu

et al. 2015

Nonlinear Dyn

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The electric activities of neurons serve as a foundation for normal brain functions. Electromagnetic radiation has a significant impact on neuronal activity in the brain, especially when cell phone is used extensively. To understand this mechanism, we developed a mathematical model aiming at describing the effect of electromagnetic radiation on neuronal firing activity by introducing an additional membrane current into the Hodgkin-Huxley neuron model. The results show that the neuronal firing activity of a single neuron can be suppressed by electromagnetic radiation. Besides, the spatiotemporal patterns of neuronal network are also suppressed from the stable propagating wave state to a homogeneous resting state. Our studies suggest that the electromagnetic radiation has a suppressive effect on neuronal firing activities, especially on the collective electric activities of neuronal network that is related to information processing.

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Section: Collective Electric Activities Of Neuronal Networkmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Suppression of firing activities in neuron and neurons of network induced by electromagnetic radiation

Liu

et al. 2015

Nonlinear Dyn

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“…The time derivative of this energy gives the balance of energy consumption and provision during its signaling behavior. To our knowledge, apart from some previous attempts to find energy functions for neuron models with chaotic dynamics [30][31][32], this approach has not been used in the literature. The Hodgkin-Huxley model is both of wide interest and very appropriate for investigating energy aspects since it is based on sound biophysical principles.…”

Section: A the Energy Approachmentioning

confidence: 99%

Energy and information in Hodgkin-Huxley neurons

2011

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The generation of spikes by neurons is energetically a costly process and the evaluation of the metabolic energy required to maintain the signaling activity of neurons a challenge of practical interest. Neuron models are frequently used to represent the dynamics of real neurons but hardly ever to evaluate the electrochemical energy required to maintain that dynamics. This paper discusses the interpretation of a Hodgkin-Huxley circuit as an energy model for real biological neurons and uses it to evaluate the consumption of metabolic energy in the transmission of information between neurons coupled by electrical synapses, i.e., gap junctions. We show that for a single postsynaptic neuron maximum energy efficiency, measured in bits of mutual information per molecule of adenosine triphosphate (ATP) consumed, requires maximum energy consumption. For groups of parallel postsynaptic neurons we determine values of the synaptic conductance at which the energy efficiency of the transmission presents clear maxima at relatively very low values of metabolic energy consumption. Contrary to what could be expected, the best performance occurs at a low energy cost.

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“…Convective instability thresholds for viscoelastic fluids [11], binary viscoelastic fluids [8,9,12,13], and viscoelastic fluids in porous media [1,4,19,20] can be found in the literature. It has been demonstrated that instability may be stationary and oscillatory, depending on the binary and viscoelastic properties of the fluid.…”

Section: Introductionmentioning

confidence: 99%

The onset of convection in a binary viscoelastic fluid saturated porous layer

Malashetty¹,

Swamy²,

Heera³

2009

Z Angew Math Mech

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The onset of convection in a binary viscoelastic fluid-saturated porous layer is studied using a linear and a weak nonlinear stability analyses. The modified Darcy-Oldroyd model is employed as a momentum equation. The onset criterion for stationary, oscillatory, and finite amplitude convection is derived analytically. There is a competition between the processes of thermal, solute diffusions, and viscoelasticity that causes the convection to set in through oscillatory rather than stationary. The effect of solute Rayleigh number, Prandtl number, diffusivity ratio, relaxation, and retardation parameters on the stability of the system is investigated. The nonlinear theory based on the truncated representation of Fourier series method is used to find the heat and mass transfer. The effect of various parameters on heat and mass transfer is also brought out. The transient behaviour of the Nusselt number and Sherwood number is investigated by solving the finite amplitude equations using Runge-Kutta method.

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Energy consumption and information transmission in model neurons

Cited by 34 publications

References 32 publications

Suppression of firing activities in neuron and neurons of network induced by electromagnetic radiation

Suppression of firing activities in neuron and neurons of network induced by electromagnetic radiation

Energy and information in Hodgkin-Huxley neurons

The onset of convection in a binary viscoelastic fluid saturated porous layer

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