2 papers
cond-mat.soft2020
Voltage distribution in a non-locally but globally electroneutral confined electrolyte medium: applications for nanophysiology
Alexis Tricot, Igor M. Sokolov, David Holcman
The distribution of voltage in sub-micron cellular domains remains poorly understood. In neurons, the voltage results from the difference in ionic concentrations which are continuo…
math-ph2003
Perturbation Methods and First Order Partial Differential Equations
D. Holcman, I. Kupka
In this paper, we give explicit estimates that insure the existence of solutions for first order partial differential operators on compact manifolds, using a viscosity method. In t…