19 citations · 69 across the 7 of their papers we have counts for
7 papers
A Simple Quantitative Model of Neuromodulation. Part I: Ion Flow Through Neural Ion Channels
Linda Werneck, Mertcan Han, Erdost Yildiz +3
We develop a simple model of ionic current through neuronal membranes as a function of membrane potential and extracellular ion concentration. The model combines a simplified Poiss…
Thin cylindrical magnetic nanodots revisited: variational formulation, accurate solution and phase diagram
Alexander Müller, Manfred Bischoff, Marc-André Keip
We investigate the variational formulation and corresponding minimizing energies for the detection of energetically favorable magnetization states of thin cylindrical magnetic nano…
Swelling-induced pattern transformations of periodic hydrogels -- from the wrinkling of internal surfaces to the buckling of thin films
Elten Polukhov, Laura Pytel, Marc-Andre Keip
We investigate pattern transformations of periodic hydrogel systems that are triggered by swelling-induced structural instabilities. The types of microstructures considered in the…
Computational homogenization of higher-order continua
Felix Schmidt, Melanie Krüger, Marc-Andre Keip +1
We introduce a novel computational framework for the multiscale simulation of higher-order continua that allows for the consideration of first-, second- and third- order effects at…
Transient stability analysis of composite hydrogel structures based on a minimization-type variational formulation
Siddharth Sriram, Elten Polukhov, Marc-Andre Keip
We employ a canonical variational framework for the predictive characterization of structural instabilities that develop during the diffusion-driven transient swelling of hydrogels…
A variational minimization formulation for hydraulically induced fracturing in elastic-plastic solids
Daniel Kienle, Marc-Andre Keip
A variational modeling framework for hydraulically induced fracturing of elastic-plastic solids is developed in the present work. The developed variational structure provides a glo…