A Novel Approach to Simulate Hodgkin–Huxley‐like Excitation With COMSOL Multiphysics

Martinek, Johannes; Stickler, Yvonne; Reichel, Martin; Mayr, Winfried; Rattay, Frank

doi:10.1111/j.1525-1594.2008.00611.x

Cited by 24 publications

(14 citation statements)

References 13 publications

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“…Additionally, special attention is paid to the phenomenon of the influence of ambient temperature, as well as heating specific nodes, on nerve kinetics. Recently COMSOL was used for simulating a Hodgkin-Huxley model of APs in neural fibers and corresponding electric field creation in the extracellular space [27]. Some other studies on peripheral nerve electrode simulations employed Maxwell3D in combination with NEURON [28].…”

Section: Thermoelectric Stimulation Modelingmentioning

confidence: 99%

A Simulation Study of the Combined Thermoelectric Extracellular Stimulation of the Sciatic Nerve of the Xenopus Laevis: The Localized Transient Heat Block

Mou

Triantis

Woods

et al. 2012

IEEE Trans. Biomed. Eng.

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. A simulation study of the combined thermoelectric extracellular stimulation of the sciatic nerve of the Xenopus laevis: the localized transient heat block. IEEE Transactions on Biomedical Engineering, 59(6), pp. 1758 -1769 . doi: 10.1109 /TBME.2012 This is the accepted version of the paper.This version of the publication may differ from the final published version. 1  Abstract-This paper presents the response of the Xenopus laevis nerve fibers to combinations of electrical (cuff electrodes) and optical (infrared laser, low power sub-5mW) stimulation. Assuming that the main effect of the laser irradiation on the nerve tissue is the localized temperature increase, this paper analyzes and gives new insights into the function of the combined thermoelectric stimulation on both excitation and blocking of the nerve action potentials (AP). The calculations involve a finite-element model (COMSOL) to represent the electrical properties of the nerve and cuff. Electric field distribution along the nerve was computed for the given stimulation current profile and imported into a NEURON model, which was built to simulate the electrical behavior of myelinated nerve fiber under extracellular stimulation. The main result of this study of combined thermoelectric stimulation showed that local temperature increase, for the given electric field, can create a transient block of both the generation and propagation of the APs. Some preliminary experimental data in support of this conclusion are also shown. Permanent

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Section: Thermoelectric Stimulation Modelingmentioning

confidence: 99%

A Simulation Study of the Combined Thermoelectric Extracellular Stimulation of the Sciatic Nerve of the Xenopus Laevis: The Localized Transient Heat Block

Mou

Triantis

Woods

et al. 2012

IEEE Trans. Biomed. Eng.

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“…It was shown that the TP can influence the extracellular potential in direct muscle stimulation, however, it was not shown if the generation of APs in adjacent muscle fibers is significantly influenced. The method is computationally expensive and was therefore used on a simplified volume conductor which was coupled with two muscle fibers [36]. Since, the presented TES model contains a more detailed volume conductor and 1,000 axons, the solution could currently not be computed in reasonable time and remains an issue for future investigations.…”

Section: Model Limitationsmentioning

confidence: 99%

“…This means that the extracellular potential V e,n (t) affects the axons' TP, but the influence of the TP on the extracellular potential is neglected. Both directions were taken into account for the first time in [36] using a bidomain model. It was shown that the TP can influence the extracellular potential in direct muscle stimulation, however, it was not shown if the generation of APs in adjacent muscle fibers is significantly influenced.…”

Section: Model Limitationsmentioning

confidence: 99%

A model for transcutaneous current stimulation: simulations and experiments

Kühn

Keller

Lawrence

et al. 2008

Med Biol Eng Comput

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Complex nerve models have been developed for describing the generation of action potentials in humans. Such nerve models have primarily been used to model implantable electrical stimulation systems, where the stimulation electrodes are close to the nerve (nearfield). To address if these nerve models can also be used to model transcutaneous electrical stimulation (TES) (farfield), we have developed a TES model that comprises a volume conductor and different previously published nonlinear nerve models. The volume conductor models the resistive and capacitive properties of electrodes, electrodeskin interface, skin, fat, muscle, and bone. The non-linear nerve models were used to conclude from the potential field within the volume conductor on nerve activation. A comparison of simulated and experimentally measured chronaxie values (a measure for the excitability of nerves) and muscle twitch forces on human volunteers allowed us to conclude that some of the published nerve models can be used in TES models. The presented TES model provides a first step to more extensive model implementations for TES in which e.g., multi-array electrode configurations can be tested. Keywords

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“…For the purpose of the following analysis, it was assumed that the fiber plane would act similarly to an individual fiber at the specified depth. A similar method to this was used in a study by Martinek et al [12]. …”

Section: Figure 4 7 X-direction Voltage Profilementioning

confidence: 99%

“…The Hodgkin-Huxley model is a mathematical model created to describe the excitation and spike propagation in nerve and muscle fibers using gating mechanisms [12]. In this simulation a coupling of two different models was used to describe the excitation of a muscle fiber within a biological environment.…”

Section: Nerve and Muscle Excitation Using Comsolmentioning

confidence: 99%

Characterizing Nerve Fiber Activation By Varying Fiber Diameter And Depth Within a Conductive Medium: A Finite Element Approach

Soto¹

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In some instances neuropathies can be diagnosed through a conduction velocity test. However, not all neuropathies can be classified using this method.Gaining an understanding of how the stimulus level varies for different fiber sizes at different fiber depths within a conductive medium will provide useful information for simulation studies.Following a two-step approach using COMSOL and MATLAB, a simulation was implemented to investigate the stimulus necessary to activate different sized fibers at different depths. In this two-step approach, COMSOL was used to describe the voltage profile that would be present within a conductive medium after a stimulus was applied. This voltage profile could then be analyzed using a program written in MATLAB to determine if the applied stimulus was sufficient to activate a given fiber. The analysis was performed using a stimulus method using a constant DC source. Two finite element models were also used, one using a homogeneous medium and the other inhomogeneous.A three dimensional plot was created to describe the effect of both the depth and diameter of a fiber on the required stimulus for fiber activation. From this plot, an equation was fit to the data to represent the activation function of a nerve fiber at various diameters and depths.v CHAPTER 1 -IntroductionThe biomedical field has changed tremendously throughout the past 20 years. Complicated electrical and mechanical systems are now being implemented into medical devices, which are advancing the field at an extremely high rate. Some of the most significant changes can be seen in the area of neurology and integrating medical devices with the neurological systems of the body. Companies are creating a division to investigate medical devices that address the subject of neuromodulation and neurostimulation.Understanding the intricacies of the nervous system is very important in developing a device that neuromodulates or neurostimulates correctly. One such example can be seen in devices that target people with chronic back pain.Neurostimulation devices are currently being designed to stimulate specific nerve fiber bundles in an attempt to mask the chronic pain signal. During this stimulation a large group of nerve fibers are usually stimulated because current technology is not capable of controlling the stimulation of individual fibers.Although this lack of ability to control the stimulation of individual fibers has not hindered these devices from treating their patients, more knowledge of how different fibers are stimulated could offer great benefits to the future of these devices. Neuroprosthetics is one application that would greatly benefit from differentiating the stimulus required to activate various fiber types. Characterizing how individual fibers respond to a given stimulus would allow much finer control of the nerves being targeted in the neuroprosthetic device and could lead to a much more accurate human-computer interface in these devices. 2Understanding how different nerve fibers respond to a given stimulus is...

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A Novel Approach to Simulate Hodgkin–Huxley‐like Excitation With COMSOL Multiphysics

Cited by 24 publications

References 13 publications

A Simulation Study of the Combined Thermoelectric Extracellular Stimulation of the Sciatic Nerve of the Xenopus Laevis: The Localized Transient Heat Block

A Simulation Study of the Combined Thermoelectric Extracellular Stimulation of the Sciatic Nerve of the Xenopus Laevis: The Localized Transient Heat Block

A model for transcutaneous current stimulation: simulations and experiments

Characterizing Nerve Fiber Activation By Varying Fiber Diameter And Depth Within a Conductive Medium: A Finite Element Approach

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