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Electroporation thermal effects

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An electric field is applied to the burned area of the mouse skin using electrodes. It is known that electroporation at the indicated parameters of the pulsed voltage has a disinfecting effect on the infected tissue.

Problem Type
Plane-parallel problem of multiphysics problem of DC Conduction coupled to transient Heat Transfer.

Geometry
Skin fold in the transient electric field Skin fold is placed between two flat electrodes with the voltage pulses applied. Stratum corneum Epidermis Dermis Мuscle Sub tissue V~ 5μm 10μm 700μm 550μm 495μm Electrode Electrode

Given
Initial skin temperature 37 °C,
Air temperature 25 °C, convection coefficient 5 W/(K·m²)
Voltage V~ = 1000 V, pulse duration 70μs, frequency 84 pulses per second.

Skin and underlying tissue conductivity, S/m
Tissue nameNormalAfter electroporation
Stratum corneum1.25e-50.5
Epidermis0.20.8
Dermis0.20.8
Muscle0.41
Sub tissue0.020.2

Task
Calculate the temperature distribution in the mouse skin layers under the action of a pulsed electric field and make sure that the effect of electroporation is non-thermal.

Solution
The electrical conductivities of the skin layers between and outside the electrodes are different, since electroporation affects the electrical conductivity. Since the electric current flows and the heat is generated only if the voltage pulse is applied, we should simulate only the electroporated state.
To find the time-average current and Joule heat value we simulate a DC Conduction prolem and apply time-average voltage value = 1000 * 70e-6 / (1/84) = 5.9 V
Then the generated heat value is used to calculate temperature distribution.

Results
Electric field and temperature distribution in the skin after 80 seconds of voltage application:
Electric field and temperature distribution in the skin