Input-output relation and energy efficiency in the neuron with different spike threshold dynamics
Neuron encodes and transmits information through generating sequences of output spikes, which is a high energy-consuming process. The spike is initiated when membrane depolarization reaches a threshold voltage. In many neurons, threshold is dynamic and depends on the rate of membrane depolarization...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2015-05-01
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| Series: | Frontiers in Computational Neuroscience |
| Subjects: | |
| Online Access: | http://journal.frontiersin.org/Journal/10.3389/fncom.2015.00062/full |
| _version_ | 1811330839945936896 |
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| author | Guo-Sheng eYi Jiang eWang Kai-Ming eTsang Xi-Le eWei Bin eDeng |
| author_facet | Guo-Sheng eYi Jiang eWang Kai-Ming eTsang Xi-Le eWei Bin eDeng |
| author_sort | Guo-Sheng eYi |
| collection | DOAJ |
| description | Neuron encodes and transmits information through generating sequences of output spikes, which is a high energy-consuming process. The spike is initiated when membrane depolarization reaches a threshold voltage. In many neurons, threshold is dynamic and depends on the rate of membrane depolarization (dV/dt) preceding a spike. Identifying the metabolic energy involved in neural coding and their relationship to threshold dynamic is critical to understanding neuronal function and evolution. Here, we use a modified Morris-Lecar model to investigate neuronal input-output property and energy efficiency associated with different spike threshold dynamics. We find that the neurons with dynamic threshold sensitive to dV/dt generate discontinuous frequency-current curve and type II phase response curve (PRC) through Hopf bifurcation, and weak noise could prohibit spiking when bifurcation just occurs. The threshold that is insensitive to dV/dt, instead, results in a continuous frequency-current curve, a type I PRC and a saddle-node on invariant circle bifurcation, and simultaneously weak noise cannot inhibit spiking. It is also shown that the bifurcation, frequency-current curve and PRC type associated with different threshold dynamics arise from the distinct subthreshold interactions of membrane currents. Further, we observe that the energy consumption of the neuron is related to its firing characteristics. The depolarization of spike threshold improves neuronal energy efficiency by reducing the overlap of Na+ and K+ currents during an action potential. The high energy efficiency is achieved at more depolarized spike threshold and high stimulus current. These results provide a fundamental biophysical connection that links spike threshold dynamics, input-output relation, energetics and spike initiation, which could contribute to uncover neural encoding mechanism. |
| first_indexed | 2024-04-13T16:10:05Z |
| format | Article |
| id | doaj.art-56ab209488694668ba2d154da1701adc |
| institution | Directory Open Access Journal |
| issn | 1662-5188 |
| language | English |
| last_indexed | 2024-04-13T16:10:05Z |
| publishDate | 2015-05-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Computational Neuroscience |
| spelling | doaj.art-56ab209488694668ba2d154da1701adc2022-12-22T02:40:18ZengFrontiers Media S.A.Frontiers in Computational Neuroscience1662-51882015-05-01910.3389/fncom.2015.00062126901Input-output relation and energy efficiency in the neuron with different spike threshold dynamicsGuo-Sheng eYi0Jiang eWang1Kai-Ming eTsang2Xi-Le eWei3Bin eDeng4Tianjin UniversityTianjin UniversityThe Hong Kong Polytechnic UniversityTianjin UniversityTianjin UniversityNeuron encodes and transmits information through generating sequences of output spikes, which is a high energy-consuming process. The spike is initiated when membrane depolarization reaches a threshold voltage. In many neurons, threshold is dynamic and depends on the rate of membrane depolarization (dV/dt) preceding a spike. Identifying the metabolic energy involved in neural coding and their relationship to threshold dynamic is critical to understanding neuronal function and evolution. Here, we use a modified Morris-Lecar model to investigate neuronal input-output property and energy efficiency associated with different spike threshold dynamics. We find that the neurons with dynamic threshold sensitive to dV/dt generate discontinuous frequency-current curve and type II phase response curve (PRC) through Hopf bifurcation, and weak noise could prohibit spiking when bifurcation just occurs. The threshold that is insensitive to dV/dt, instead, results in a continuous frequency-current curve, a type I PRC and a saddle-node on invariant circle bifurcation, and simultaneously weak noise cannot inhibit spiking. It is also shown that the bifurcation, frequency-current curve and PRC type associated with different threshold dynamics arise from the distinct subthreshold interactions of membrane currents. Further, we observe that the energy consumption of the neuron is related to its firing characteristics. The depolarization of spike threshold improves neuronal energy efficiency by reducing the overlap of Na+ and K+ currents during an action potential. The high energy efficiency is achieved at more depolarized spike threshold and high stimulus current. These results provide a fundamental biophysical connection that links spike threshold dynamics, input-output relation, energetics and spike initiation, which could contribute to uncover neural encoding mechanism.http://journal.frontiersin.org/Journal/10.3389/fncom.2015.00062/fullenergy efficiencyspike initiationInput-output relationspike threshold dynamicbiophysical connection |
| spellingShingle | Guo-Sheng eYi Jiang eWang Kai-Ming eTsang Xi-Le eWei Bin eDeng Input-output relation and energy efficiency in the neuron with different spike threshold dynamics Frontiers in Computational Neuroscience energy efficiency spike initiation Input-output relation spike threshold dynamic biophysical connection |
| title | Input-output relation and energy efficiency in the neuron with different spike threshold dynamics |
| title_full | Input-output relation and energy efficiency in the neuron with different spike threshold dynamics |
| title_fullStr | Input-output relation and energy efficiency in the neuron with different spike threshold dynamics |
| title_full_unstemmed | Input-output relation and energy efficiency in the neuron with different spike threshold dynamics |
| title_short | Input-output relation and energy efficiency in the neuron with different spike threshold dynamics |
| title_sort | input output relation and energy efficiency in the neuron with different spike threshold dynamics |
| topic | energy efficiency spike initiation Input-output relation spike threshold dynamic biophysical connection |
| url | http://journal.frontiersin.org/Journal/10.3389/fncom.2015.00062/full |
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