3 papers
math.NA2020
Free energy computation of particles with membrane-mediated interactions via Langevin dynamics
Tobias Kies, Carsten Gräser, Luigi Delle Site +1
We apply well-established concepts of Langevin sampling to derive a new class of algorithms for the efficient computation of free energy differences of fluctuating particles embedd…
math.AP2017
On differentiability of the membrane-mediated mechanical interaction energy of discrete-continuum membrane-particle models
Tobias Kies, Carsten Gräser
We consider a discrete-continuum model of a biomembrane with embedded particles. While the membrane is represented by a continuous surface, embedded particles are described by rigi…
math.NA2017
Discretization error estimates for penalty formulations of a linearized Canham-Helfrich type energy
Carsten Gräser, Tobias Kies
This paper is concerned with minimization of a fourth-order linearized Canham-Helfrich energy subject to Dirichlet boundary conditions on curves inside the domain. Such problems ar…