Industrial

Educational

Scientific

Engineering questions

Sample problems

Examples gallery

Step-by-step tutorials

Verification examples

Programming examples

Distributive examples

Success stories

Customers

Main >> Applications >> Sample problems

Biological cell in the external AC electric field - QuickField simulation example

Engineering question

How to calculate the effect of AC frequency on electric-field penetration into a biological cell?

Answer
Solve the axisymmetric AC-conduction model at multiple frequencies; the membrane shields the interior at low frequency, while penetration increases at high frequency.

More questions →

Typical applications
biological tissue exposure systems, electroporation setups, biomedical electrode environments

Biological cell in the external AC electric field

Download

Simulation problem

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

  • Download simulation files STP
  • Related examples