Frequency responses for induced neural transmembrane potential by electromagnetic waves (1 kHz to 1 GHz)
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Zahra Hajizadeh Bakhtiary
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Mehrdad Saviz
Abstract
Many biophysical effects of electromagnetic radiation are interpreted based on the induced voltage on cellular membranes. It is very instructive to study wideband frequency responses showing how an impinging electromagnetic wave carrying a certain time waveform translates into a time-dependent change in the cell-membrane potentials in any desired tissue. A direct numerical solution of this problem with realistic models for the body and cells results in meshcells of nanometer dimensions, which is unaffordable for almost any computing machine. In this paper, we exploit a multiscale method with serial frequency responses to arrive at the final frequency response for the induced transmembrane potential changes in cerebral cells induced by electromagnetic waves incident on the body. The results show a bandpass characteristic; a frequency window of approximately 10 kHz to 100 MHz as the most sensitive frequency band for neuronal membrane sensing of external electromagnetic fields.
Acknowledgment
The authors thank Mrs. Elham Sharifi Abdar, Mrs. Reihaneh Sadat Daneshmand, and Mr. Amir Hossein Buchali Safiee for their resources and valuable guidances in implementing the programs.
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Author contribution: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
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Research funding: This research did not receive any specific grant from funding agencies in the public, commercial, or not-for-profit sectors.
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Conflict of interest statement: The authors declare no conflicts of interest regarding this article.
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© 2022 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Original Research Articles
- Frequency responses for induced neural transmembrane potential by electromagnetic waves (1 kHz to 1 GHz)
- Investigating existence results for fractional evolution inclusions with order r ∈ (1, 2) in Banach space
- Optimal control of non-instantaneous impulsive second-order stochastic McKean–Vlasov evolution system with Clarke subdifferential
- Generalized forms of fractional Euler and Runge–Kutta methods using non-uniform grid
- Controllability of coupled fractional integrodifferential equations
- A new generalized approach to study the existence of solutions of nonlinear fractional boundary value problems
- Rational soliton solutions in the nonlocal coupled complex modified Korteweg–de Vries equations
- Buoyancy driven flow characteristics inside a cavity equiped with diamond elliptic array
- Analysis and numerical effects of time-delayed rabies epidemic model with diffusion
- Two occurrences of fractional actions in nonlinear dynamics
- Multiwave interaction solutions for a (3 + 1)-dimensional B-type Kadomtsev–Petviashvili equation in fluid dynamics
- Effects of mixed time delays and D operators on fixed-time synchronization of discontinuous neutral-type neural networks
- Solvability and stability of nonlinear hybrid ∆-difference equations of fractional-order
- Weak and strong boundedness for p-adic fractional Hausdorff operator and its commutator
- Simulation and modeling of different cell shapes for closed-cell LM-13 alloy foam for compressive behavior
- Pandemic management by a spatio–temporal mathematical model
- Adaptive ADI difference solution of quenching problems based on the 3D convection–reaction–diffusion equation
- Null controllability of Hilfer fractional stochastic integrodifferential equations with noninstantaneous impulsive and Poisson jump
- Application of modified Mickens iteration procedure to a pendulum and the motion of a mass attached to a stretched elastic wire
- Modeling the spatiotemporal intracellular calcium dynamics in nerve cell with strong memory effects
- Switched coupled system of nonlinear impulsive Langevin equations involving Hilfer fractional-order derivatives
- Improving the dynamic behavior of the plate under supersonic air flow by using nonlinear energy sink
Artikel in diesem Heft
- Frontmatter
- Original Research Articles
- Frequency responses for induced neural transmembrane potential by electromagnetic waves (1 kHz to 1 GHz)
- Investigating existence results for fractional evolution inclusions with order r ∈ (1, 2) in Banach space
- Optimal control of non-instantaneous impulsive second-order stochastic McKean–Vlasov evolution system with Clarke subdifferential
- Generalized forms of fractional Euler and Runge–Kutta methods using non-uniform grid
- Controllability of coupled fractional integrodifferential equations
- A new generalized approach to study the existence of solutions of nonlinear fractional boundary value problems
- Rational soliton solutions in the nonlocal coupled complex modified Korteweg–de Vries equations
- Buoyancy driven flow characteristics inside a cavity equiped with diamond elliptic array
- Analysis and numerical effects of time-delayed rabies epidemic model with diffusion
- Two occurrences of fractional actions in nonlinear dynamics
- Multiwave interaction solutions for a (3 + 1)-dimensional B-type Kadomtsev–Petviashvili equation in fluid dynamics
- Effects of mixed time delays and D operators on fixed-time synchronization of discontinuous neutral-type neural networks
- Solvability and stability of nonlinear hybrid ∆-difference equations of fractional-order
- Weak and strong boundedness for p-adic fractional Hausdorff operator and its commutator
- Simulation and modeling of different cell shapes for closed-cell LM-13 alloy foam for compressive behavior
- Pandemic management by a spatio–temporal mathematical model
- Adaptive ADI difference solution of quenching problems based on the 3D convection–reaction–diffusion equation
- Null controllability of Hilfer fractional stochastic integrodifferential equations with noninstantaneous impulsive and Poisson jump
- Application of modified Mickens iteration procedure to a pendulum and the motion of a mass attached to a stretched elastic wire
- Modeling the spatiotemporal intracellular calcium dynamics in nerve cell with strong memory effects
- Switched coupled system of nonlinear impulsive Langevin equations involving Hilfer fractional-order derivatives
- Improving the dynamic behavior of the plate under supersonic air flow by using nonlinear energy sink
