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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2016
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| Accesso online: | https://arxiv.org/abs/1611.03902 |
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| _version_ | 1866911428763451392 |
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| author | Seifi, Saman Salac, David |
| author_facet | Seifi, Saman Salac, David |
| contents | We develop a diffuse-interface continuum model for membrane electroporation that couples a phase field for pore geometry to a quasi-static electrolyte potential and a spatially varying leaky-dielectric model for the transmembrane voltage. The main contribution is a stabilized time-integration strategy for transmembrane voltage $V_m$: the stiff leakage term is treated implicitly while the electrolyte-to-membrane ionic current is lagged, yielding a closed-form update that removes the restriction imposed by the fast dielectric relaxation time. The electrolyte potential is computed efficiently using a semi-analytical spectral Laplace solver: a 2D DCT in the membrane plane reduces the 3D problem to independent 1D ODEs in $z$, solved in closed form and reconstructed by an inverse transform. The coupled method is robust under grid refinement, reproduces the sharp-interface critical-radius bifurcation, and captures electric-field focusing through conductive pores. We also demonstrate stochastic pore nucleation by adding thermal noise to the phase-field dynamics, enabling fully emergent electroporation events without prescribing initial defects. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1611_03902 |
| institution | arXiv |
| publishDate | 2016 |
| record_format | arxiv |
| spellingShingle | A Stabilized Diffuse-Interface Electroporation Model with a Semi-Analytical Spectral Electrolyte Solver Seifi, Saman Salac, David Soft Condensed Matter We develop a diffuse-interface continuum model for membrane electroporation that couples a phase field for pore geometry to a quasi-static electrolyte potential and a spatially varying leaky-dielectric model for the transmembrane voltage. The main contribution is a stabilized time-integration strategy for transmembrane voltage $V_m$: the stiff leakage term is treated implicitly while the electrolyte-to-membrane ionic current is lagged, yielding a closed-form update that removes the restriction imposed by the fast dielectric relaxation time. The electrolyte potential is computed efficiently using a semi-analytical spectral Laplace solver: a 2D DCT in the membrane plane reduces the 3D problem to independent 1D ODEs in $z$, solved in closed form and reconstructed by an inverse transform. The coupled method is robust under grid refinement, reproduces the sharp-interface critical-radius bifurcation, and captures electric-field focusing through conductive pores. We also demonstrate stochastic pore nucleation by adding thermal noise to the phase-field dynamics, enabling fully emergent electroporation events without prescribing initial defects. |
| title | A Stabilized Diffuse-Interface Electroporation Model with a Semi-Analytical Spectral Electrolyte Solver |
| topic | Soft Condensed Matter |
| url | https://arxiv.org/abs/1611.03902 |