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Electrical energy required to form large conducting pores
John C Neu1, Kyle C Smith, Wanda Krassowska
1Department of Mathematics, University of California at Berkeley, Berkeley, CA, USA.
Bioelectrochemistry (Amsterdam, Netherlands)
|August 2, 2003
Summary
This study clarifies large pore energy, finding electrical forces expand pores linearly with radius for radii over 20 nm. This research aids in designing effective pulsing protocols for DNA delivery.
Area of Science:
- Biophysics
- Computational Biology
- Electrochemistry
Background:
- Existing pore energy formulas yield conflicting predictions for large pores.
- Discrepancies arise from approximations suitable only for small pores.
Purpose of the Study:
- To compute the contribution of transmembrane potential to the energy of large, highly conductive pores.
- To resolve conflicting theories on electrical forces acting on pores.
- To inform the design of pulsing protocols for DNA delivery.
Main Methods:
- Derivation of mechanical work formula from Maxwell stress tensors.
- Analysis of boundary value problems for electric potentials and fields.
- Computer simulations for cylindrical and toroidal pore shapes.
Main Results:
- Pore energy increases linearly for radii above approximately 20 nm.
- Electrical force on large pores asymptotes to a constant value.
- New formula provides accurate estimates for large pore energy.
Conclusions:
- The study resolves discrepancies in large pore energy calculations.
- Findings offer a more accurate understanding of pore behavior under electrical fields.
- Results are crucial for optimizing electroporation-based gene delivery techniques.