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Biological cell in the external AC electric field

Problem Type:
Axisymmetric problem of AC conduction.

Geometry:
biological cell in the external AC electric field

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

Problem:
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 penetraces cell membrane at 100 mHz

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