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A Unified Frequency Domain Model to Study the Effect of Demyelination on Axonal Conduction.

Chaubey S, Goodwin SJ - Biomed Eng Comput Biol (2016)

Bottom Line: The ability to transfer function in the frequency domain will help reduce effort and will give a much more realistic feel when compared to the classical time-based approach.Once a transfer function is identified, the conduction as a cascade of each linear time invariant system-based transfer function can be modeled.Using this approach, future studies can model the loss of myelin in various parts of nervous system.

View Article: PubMed Central - PubMed

Affiliation: Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN, USA.

ABSTRACT
Multiple sclerosis is a disease caused by demyelination of nerve fibers. In order to determine the loss of signal with the percentage of demyelination, we need to develop models that can simulate this effect. Existing time-based models does not provide a method to determine the influences of demyelination based on simulation results. Our goal is to develop a system identification approach to generate a transfer function in the frequency domain. The idea is to create a unified modeling approach for neural action potential propagation along the length of an axon containing number of Nodes of Ranvier (N). A system identification approach has been used to identify a transfer function of the classical Hodgkin-Huxley equations for membrane voltage potential. Using this approach, we model cable properties and signal propagation along the length of the axon with N node myelination. MATLAB/Simulink platform is used to analyze an N node-myelinated neuronal axon. The ability to transfer function in the frequency domain will help reduce effort and will give a much more realistic feel when compared to the classical time-based approach. Once a transfer function is identified, the conduction as a cascade of each linear time invariant system-based transfer function can be modeled. Using this approach, future studies can model the loss of myelin in various parts of nervous system.

No MeSH data available.


Related in: MedlinePlus

Frequency-domain open loop model for neuron for N Nodes of Ranvier.
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Related In: Results  -  Collection


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f1-becb-7-2016-019: Frequency-domain open loop model for neuron for N Nodes of Ranvier.

Mentions: Traditional models have been very useful to predict both the static and dynamic properties of the neuron. Time-based ordinary differential equations remain the heart of neuron modeling. It has been shown that the Hodgkin–Huxley equation can be solved by the numerical solutions to get an AP profile for a single nerve fiber.1,3 We use the popular system identification technique4,5 to derive the nominal transfer function for the single chamber of a neuron (Fig. 1). Ideally, the pathway of time domain should give us the identical final outcome as the frequency domain method. In this article, we use frequency-based modeling. Figure 2 demonstrates a more direct comparison of the AP found by the proposed frequency domain modeling and two of the most reliable time domain numerical solutions (ODE15s and Runge–Kutta). It should be noted that the transfer function of the system can only be possible if the system can be modeled as linear or at last as piece-wise linear. We list all the assumptions required for the derivation of the transfer function. We observe that our approximate linear time invariant (LTI) system response is in very much agreement when compared to the traditional time-based models.


A Unified Frequency Domain Model to Study the Effect of Demyelination on Axonal Conduction.

Chaubey S, Goodwin SJ - Biomed Eng Comput Biol (2016)

Frequency-domain open loop model for neuron for N Nodes of Ranvier.
© Copyright Policy - open-access
Related In: Results  -  Collection

Show All Figures
getmorefigures.php?uid=PMC4836623&req=5

f1-becb-7-2016-019: Frequency-domain open loop model for neuron for N Nodes of Ranvier.
Mentions: Traditional models have been very useful to predict both the static and dynamic properties of the neuron. Time-based ordinary differential equations remain the heart of neuron modeling. It has been shown that the Hodgkin–Huxley equation can be solved by the numerical solutions to get an AP profile for a single nerve fiber.1,3 We use the popular system identification technique4,5 to derive the nominal transfer function for the single chamber of a neuron (Fig. 1). Ideally, the pathway of time domain should give us the identical final outcome as the frequency domain method. In this article, we use frequency-based modeling. Figure 2 demonstrates a more direct comparison of the AP found by the proposed frequency domain modeling and two of the most reliable time domain numerical solutions (ODE15s and Runge–Kutta). It should be noted that the transfer function of the system can only be possible if the system can be modeled as linear or at last as piece-wise linear. We list all the assumptions required for the derivation of the transfer function. We observe that our approximate linear time invariant (LTI) system response is in very much agreement when compared to the traditional time-based models.

Bottom Line: The ability to transfer function in the frequency domain will help reduce effort and will give a much more realistic feel when compared to the classical time-based approach.Once a transfer function is identified, the conduction as a cascade of each linear time invariant system-based transfer function can be modeled.Using this approach, future studies can model the loss of myelin in various parts of nervous system.

View Article: PubMed Central - PubMed

Affiliation: Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN, USA.

ABSTRACT
Multiple sclerosis is a disease caused by demyelination of nerve fibers. In order to determine the loss of signal with the percentage of demyelination, we need to develop models that can simulate this effect. Existing time-based models does not provide a method to determine the influences of demyelination based on simulation results. Our goal is to develop a system identification approach to generate a transfer function in the frequency domain. The idea is to create a unified modeling approach for neural action potential propagation along the length of an axon containing number of Nodes of Ranvier (N). A system identification approach has been used to identify a transfer function of the classical Hodgkin-Huxley equations for membrane voltage potential. Using this approach, we model cable properties and signal propagation along the length of the axon with N node myelination. MATLAB/Simulink platform is used to analyze an N node-myelinated neuronal axon. The ability to transfer function in the frequency domain will help reduce effort and will give a much more realistic feel when compared to the classical time-based approach. Once a transfer function is identified, the conduction as a cascade of each linear time invariant system-based transfer function can be modeled. Using this approach, future studies can model the loss of myelin in various parts of nervous system.

No MeSH data available.


Related in: MedlinePlus