Research Paper#Electropermeabilization, Homogenization, Nonlinear Conductivity🔬 ResearchAnalyzed: Jan 3, 2026 19:21
Nonlinear Conductivity Model for Electropermeabilization
Analysis
This paper provides a rigorous mathematical framework for understanding the nonlinear and time-dependent conductivity observed in electropermeabilization of biological tissues. It bridges the gap between cell-level models and macroscopic behavior, offering a theoretical explanation for experimental observations of conductivity dynamics. The use of homogenization techniques and two-scale convergence is significant.
Key Takeaways
- •Derives a macroscopic model from a cell-level electropermeabilization model.
- •The macroscopic model exhibits memory effects and nonlinear, time-dependent conductivity.
- •Provides a mathematical explanation for experimentally observed conductivity dynamics.
- •Uses homogenization techniques to connect micro and macro scales.
Reference
“The resulting macroscopic model exhibits memory effects and a nonlinear, time-dependent effective current.”