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Directed percolation in a two dimensional stochastic fire-diffuse-fire model (2004)
Journal Article
Timofeeva, Y., & Coombes, S. (2004). Directed percolation in a two dimensional stochastic fire-diffuse-fire model

In this paper we establish, from extensive numerical experiments, that the two dimensional stochastic fire-diffuse-fire model belongs to the directed percolation universality class. This model is an idealized model of intracellular calcium release th... Read More about Directed percolation in a two dimensional stochastic fire-diffuse-fire model.

Chaotic mixing of a competitive-consecutive reaction (2004)
Journal Article
Cox, S. M. (2004). Chaotic mixing of a competitive-consecutive reaction. Physica D: Nonlinear Phenomena, 199(3-4), 369-386. https://doi.org/10.1016/j.physd.2004.08.030

The evolution of a competitive-consecutive chemical reaction is computed numerically in a two-dimensional chaotic fluid flow with initially segregated reactants. Results from numerical simulations are used to evaluate a variety of reduced models c... Read More about Chaotic mixing of a competitive-consecutive reaction.

Evans functions for integral neural field equations with Heaviside firing rate function (2004)
Journal Article
Coombes, S., & Owen, M. R. Evans functions for integral neural field equations with Heaviside firing rate function. SIAM Journal on Applied Dynamical Systems, 3(4), https://doi.org/10.1137/040605953

In this paper we show how to construct the Evans function for traveling wave solutions of integral neural field equations when the firing rate function is a Heaviside. This allows a discussion of wave stability and bifurcation as a function of syste... Read More about Evans functions for integral neural field equations with Heaviside firing rate function.

Release currents of IP? receptor channel clusters and concentration profiles (2004)
Journal Article
Thul, R., & Falcke, M. (2004). Release currents of IP? receptor channel clusters and concentration profiles. Biophysical Journal, 86(5),

We simulate currents and concentration profiles generated by Ca2+ release from the endoplasmic reticulum (ER) to the cytosol through IP3 receptor channel clusters. Clusters are described as conducting pores in the lumenal membrane with a diameter f... Read More about Release currents of IP? receptor channel clusters and concentration profiles.

Stability of membrane bound reactions (2004)
Journal Article
Thul, R., & Falcke, M. (2004). Stability of membrane bound reactions. Physical Review Letters, 93(18), https://doi.org/10.1103/+PhysRevLet+t.93.188103

We present a novel approach to the dynamics of reactions of diffusing chemical species with species fixed in space e.g. by binding to a membrane. The non-diffusing reaction partners are clustered in areas with a diameter smaller than the diffusion length... Read More about Stability of membrane bound reactions.

Nonlinear breathing modes at a defect (2004)
Journal Article
Wattis, J. A. (2004). Nonlinear breathing modes at a defect. Philosophical Transactions A: Mathematical, Physical and Engineering Sciences, 362,

Recent molecular dynamics (MD) simulations of Cubero et al (1999) of a DNA duplex containing the 'rogue' base difluorotoluene (F) in place of a thymine (T) base show that breathing events can occur on the nanosecond timescale, whereas breathing ev... Read More about Nonlinear breathing modes at a defect.