Cell motion is crucial in human health and development. Cells may migrate individually or in
highly coordinated groups. Cell motion results from complex intra-and extra-cellular …

In this article we consider finite element methods for approximating the solution of partial
differential equations on surfaces. We focus on surface finite elements on triangulated …

Abstract The Virtual Cell (VCell) is a general computational framework for modeling
physicochemical and electrophysiological processes in living cells. Developed by the …

We extend previous work and present a general approach for solving partial differential
equations in complex, stationary, or moving geometries with Dirichlet, Neumann, and Robin …

The Virtual Cell (VCell; http://vcell. org/) is a problem solving environment, built on a central
database, for analysis, modelling and simulation of cell biological processes. VCell …

In this paper, we define a new finite element method for numerically approximating the
solution of a partial differential equation in a bulk region coupled with a surface partial …

The shape of a cell, the sizes of subcellular compartments, and the spatial distribution of
molecules within the cytoplasm can all control how molecules interact to produce a cellular …

Several cellular activities, such as directed cell migration, are coordinated by an intricate
network of biochemical reactions which lead to a polarised state of the cell, in which cellular …

In this paper we present error estimates for kernel interpolation at scattered sites on
manifolds. The kernels we consider will be obtained by the restriction of positive definite …

A common scenario in cellular signal transduction is that a diffusing surface-bound molecule
must arrive at a localized signaling region on the cell membrane before the signaling …