Outputs (1849)

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 IP₃ receptor channel clusters and concentration profiles (2004)
Journal Article
Thul, R., & Falcke, M. (2004). Release currents of IP₃ 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 IP₃ 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.

Landau-Gutzwiller quasi-particles (2003)
Journal Article
Bünemann, J., Gebhard, F., & Thul, R. (2003). Landau-Gutzwiller quasi-particles. Physical Review B, 67, Article 075103. https://doi.org/10.1103/PhysRevB.67.075103

We define Landau quasiparticles within the Gutzwiller variational theory and derive their dispersion relation for general multiband Hubbard models in the limit of large spatial dimensions D. Thereby we reproduce our previous calculations which were ba... Read More about Landau-Gutzwiller quasi-particles.

Second order modular forms (2002)
Journal Article
Chinta, G., Diamantis, N., & O'Sullivan, C. (2002). Second order modular forms. Acta Arithmetica, 103, 209-223. https://doi.org/10.4064/aa103-3-2

Efficient Solution of Rational Conics (2002)
Journal Article
Cremona, J. E., & Rusin, D. (2003). Efficient Solution of Rational Conics. Mathematics of Computation, 72(243), 1417-1441. https://doi.org/10.1090/S0025-5718-02-01480-1

We present efficient algorithms for solving Legendre equations over Q (equivalently, for finding rational points on rational conics) and parametrizing all solutions. Unlike existing algorithms, no integer factorization is required, provided that the... Read More about Efficient Solution of Rational Conics.

Spectral synthesis and topologies on ideal spaces for Banach *-algebras (2002)
Journal Article
Feinstein, J., Kaniuth, E., & Somerset, D. (2002). Spectral synthesis and topologies on ideal spaces for Banach *-algebras. Journal of Functional Analysis, 196(1), https://doi.org/10.1006/jfan.2002.3964

This paper continues the study of spectral synthesis and the topologies τ∞ and τr on the ideal space of a Banach algebra, concentrating on the class of Banach *-algebras, and in particular on L1-group algebras. It is shown that if a group G is a fini... Read More about Spectral synthesis and topologies on ideal spaces for Banach *-algebras.

Predicting arsenic solubility in contaminated soils using isotopic dilution techniques (2002)
Journal Article
Tye, A. M., Young, S. D., Crout, N. M., Zhang, H., Preston, S., Bailey, E. H., Davison, W., McGrath, S. P., Paton, G. I., & Kilham, K. (2002). Predicting arsenic solubility in contaminated soils using isotopic dilution techniques. Environmental Science and Technology, 36(5), 982-988. https://doi.org/10.1021/es0101633

An isotopic dilution assay was developed to measure radiolabile As concentration in a diverse range of soils (pH 3.30-7.62; % C = 1.00-6.55). Soils amended with 50 mg of As kg-1 (as Na2HAsO4·7H2O) were incubated for over 800 d in an aerated "microcos... Read More about Predicting arsenic solubility in contaminated soils using isotopic dilution techniques.