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Biological cell in the external AC electric field

biological cell, AC electric field, electric field penetration in the tissue

Problem Type
Axisymmetric problem of AC conduction.

Geometry
Biological cell in the external AC electric field Determine the electric field penetration inside the cell at different frequencies. V+ V- Cytoplasm Solution Membrane

Given
External voltage: V+ = 0.1 mV, V- = -0.1 mV.
Frequency f - variable.

Electric
conductivity
Relative
permittivity

Cytoplasm

1 S/m 50

Solution

1 S/m 78

Membrane

0.001 mS/m 12.1

Task
Determine the electric field penetration inside the cell at different frequencies.

Result:

Frequency External field Internal field
100 Hz 1.13 V/m 0.00009 V/m
100 kHz 1.13 V/m 0.006 V/m
100 MHz 1.13 V/m 1.09 V/m

Electric field inside the biological cell at frequency 100 kHz and 100 MHz is shown in the pictures below:

Electric field shielded by cell membrane at 100 kHz

Electric field penetrates cell membrane at 100 mHz

  • Video: Biological cell in the external AC electric field
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  • Download simulation files (files may be viewed using any QuickField Edition).
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