Biomedical subjects

Julien Kockelkoren

Publications and source records attributed to Julien Kockelkoren.

3 recordsLinked to original sources

PubMed2003

Computational approach for modeling intra- and extracellular dynamics.

We introduce a phase-field approach for diffusion inside and outside a closed cell with damping and with source terms at the stationary interface. The method is compared to exact solutions (where possible) and the more traditional finite element method. It is shown to be very accurate, easy to implement, and computationally inexpensive. We apply our method to a recently introduced model for chemotaxis by Rappel et al. [Biophys. J. 83, 1361 (2002)].

Journal Article↗

PubMed2003

Absorbing phase transitions of branching-annihilating random walks.

The phase transitions to absorbing states of the branching-annihilating reaction-diffusion processes mA-->(m+k)A, nA-->(n-l)A are studied systematically in one space dimension within a new family of models. Four universality classes of nontrivial critical behavior are found. This provides, in particular, the first evidence of universal scaling laws for pair and triplet processes.

Journal Article↗

PubMed2002

Comment on "Deterministic equations of motion and phase ordering dynamics".

Zheng [Phys. Rev. E 61, 153 (2000)] claims that phase ordering dynamics in the microcanonical phi(4) model displays unusual scaling laws. We show here, performing more careful numerical investigations, that Zheng only observed transient dynamics mostly due to the corrections to scaling introduced by lattice effects, and that Ising-like (model A) phase ordering actually takes place at late times. Moreover, we argue that energy conservation manifests itself in different corrections to scaling.

Journal Article↗