Mathematical and computational method for electrical analysis of biological tissues

Ramos, Alexandre Moraes; Weinert, Rodolfo Lauro

doi:10.1007/s10825-017-1070-z

Cited by 4 publications

(16 citation statements)

References 18 publications

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“…The electroporation model used in the computer simulations was presented in a previous publication . Equations () and () describe the rate of change of the electroporation conductivity.…”

Section: Methodsmentioning

confidence: 99%

“…τ o is the minimum and τ o + Δ τ is the maximum relaxation time of the electroporation process. E p 1 and E p 2 are electrical field thresholds and E is the applied electrical field …”

Section: Methodsmentioning

confidence: 99%

“…The calculation is made in steps, updating the conductivity at each site according to the electric field distribution obtained in the previous step and following a proposed mathematical relationship . With dynamic models of electroporation, the simulator updates the conductivity at each time step according to a proposed empirical model as a function of the local electric field . An important limitation of the numerical approaches already used is the interpretation of the model parameters and the connection with measurable quantities.…”

Section: Introductionmentioning

confidence: 95%

“…The calculation of the instantaneous distribution of field and current density is performed by 1‐dimensional and 2‐dimensional methods, depending on the geometry of the electrodes. The model of electroporation for tissues based on the recent publication from Ramos and Weinert is used. A mathematical method for dynamic adjustment of the memory effects is proposed to get the correct calculation of the electric current in the tissue, along a sequence of electric field pulses.…”

Section: Introductionmentioning

confidence: 99%

“…2,[6][7][8][9] With dynamic models of electroporation, the simulator updates the conductivity at each time step according to a proposed empirical model as a function of the local electric field. 1,10 An important limitation of the numerical approaches already used is the interpretation of the model parameters and the connection with measurable quantities.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Inclusion of memory effects in a dynamic model of electroporation in biological tissues

2019

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This article presents experimental and computational results of electroporation in rat liver. The experiments were performed using different forms of electrodes and waveforms of applied electric pulses. For the numerical simulation, the electroporation model proposed by Ramos and Weinert in a previous publication was used. Dynamic adjustments were used for obtaining a good modeling of the electric current. A single set of model parameters was obtained to fit the simulated current response for different waveforms and electrodes. These parameters were obtained with the use of a genetic algorithm that minimized the error between the simulated and experimental currents. The electroporation model with dynamic adjustment proved to be an appropriate simulation tool to predict the tissue conductivity during stimulation by intense electrical fields.

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“…The electroporation model used in the computer simulations was presented in a previous publication . Equations () and () describe the rate of change of the electroporation conductivity.…”

Section: Methodsmentioning

confidence: 99%

“…τ o is the minimum and τ o + Δ τ is the maximum relaxation time of the electroporation process. E p 1 and E p 2 are electrical field thresholds and E is the applied electrical field …”

Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 95%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Inclusion of memory effects in a dynamic model of electroporation in biological tissues

2019

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Dynamic Electroporation Model Evaluation on Rabbit Tissues

et al. 2021

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Dynamic model of tissue electroporation on the basis of biological dispersion and Joule heating

Guedert,

Andrade,

Silva

et al. 2024

Journal of Applied Physics

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Electroporation is a complex, iterative, and nonlinear phenomenon often studied through numerical simulations. In recent years, simulations of tissue electroporation have been conducted with static models. However, the results of a static model simulation are restricted to a fixed protocol signature of the pulsed electric field. In this paper, we describe a novel dynamic model of tissue electroporation that also accounts for tissue dispersion and temperature to allow time-domain simulations. We have implemented the biological dispersion of potato tubers and thermal analysis in a commercial finite-element method software. A cell electroporation model was adapted to account for the increase in tissue conductivity. The model yielded 12 parameters divided into three dynamic states of electroporation. The thermal analysis describes the dependence of tissue conductivity on temperature. The model parameters were evaluated using experiments with vegetal tissue (Solanum tuberosum) under electrochemotherapy protocols. The proposed model can accurately predict the conductivity of tissue under electroporation from 100 to 1000 V/cm. A negligible thermal effect was observed at 1000 V/cm, with a temperature increase of 0.89 °C. We believe that the proposed model is suitable to describe the electroporation at the tissue level and provides a hint of the effects on the cell membrane.

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Mathematical and computational method for electrical analysis of biological tissues

Cited by 4 publications

References 18 publications

Inclusion of memory effects in a dynamic model of electroporation in biological tissues

Inclusion of memory effects in a dynamic model of electroporation in biological tissues

Dynamic Electroporation Model Evaluation on Rabbit Tissues

Dynamic model of tissue electroporation on the basis of biological dispersion and Joule heating

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