Outputs (103)

Exploring Oscillations in a Point Model of the Intracellular Ca2+ Concentration (2014)
Journal Article
Thul, R. (2014). Exploring Oscillations in a Point Model of the Intracellular Ca2+ Concentration. Cold Spring Harbor Protocols, 2014(5), 552-555. https://doi.org/10.1101/pdb.prot073221

Intracellular calcium (Ca2+) oscillations are a key signaling mechanism in most cell types. A prominent approach to modeling intracellular Ca2+ oscillations is the use of ordinary differential equations (ODEs), which treat the intracellular Ca2+ conc... Read More about Exploring Oscillations in a Point Model of the Intracellular Ca2+ Concentration.

Two-dimensional state sum models and spin structures (2014)
Journal Article
Barrett, J. W., & Tavares, S. O. G. (2014). Two-dimensional state sum models and spin structures. Communications in Mathematical Physics, 336(1), 63-100. https://doi.org/10.1007/s00220-014-2246-z

The state sum models in two dimensions introduced by Fukuma, Hosono and Kawai are generalised by allowing algebraic data from a non-symmetric Frobenius algebra. Without any further data, this leads to a state sum model on the sphere. When the data is... Read More about Two-dimensional state sum models and spin structures.

Optimal performance of endoreversible quantum refrigerators (2014)
Journal Article
Correa, L. A., Palao, J. P., Adesso, G., & Alonso, D. (2014). Optimal performance of endoreversible quantum refrigerators. Physical Review E, 90(6), https://doi.org/10.1103/PhysRevE.90.062124

The derivation of general performance benchmarks is important in the design of highly optimized heat engines and refrigerators. To obtain them, one may model phenomenologically the leading sources of irreversibility ending up with results that are mo... Read More about Optimal performance of endoreversible quantum refrigerators.

Nonassociative geometry in quasi-Hopf representation categories I: bimodules and their internal homomorphisms (2014)
Journal Article
Barnes, G. E., Schenkel, A., & Szabo, R. J. (2015). Nonassociative geometry in quasi-Hopf representation categories I: bimodules and their internal homomorphisms. Journal of Geometry and Physics, 89, 111-152. https://doi.org/10.1016/j.geomphys.2014.12.005

We systematically study noncommutative and nonassociative algebras A and their bimodules as algebras and bimodules internal to the representation category of a quasitriangular quasi-Hopf algebra. We enlarge the morphisms of the monoidal category of A... Read More about Nonassociative geometry in quasi-Hopf representation categories I: bimodules and their internal homomorphisms.

Compensated convexity and Hausdorff stable extraction of intersections for smooth manifolds (2014)
Journal Article
Zhang, K., Orlando, A., & Crooks, E. (2015). Compensated convexity and Hausdorff stable extraction of intersections for smooth manifolds. Mathematical Models and Methods in Applied Sciences, 25(5), https://doi.org/10.1142/S0218202515500207

We apply compensated convex transforms to define a multiscale Hausdorff stable method to extract intersections between smooth compact manifolds represented by their characteristic functions or as point clouds embedded in Rn. We prove extraction resul... Read More about Compensated convexity and Hausdorff stable extraction of intersections for smooth manifolds.

Nonlinear compliance modulates dynamic bronchoconstriction in a multiscale airway model (2014)
Journal Article
Hiorns, J. E., Brook, B., & Jensen, O. E. (2014). Nonlinear compliance modulates dynamic bronchoconstriction in a multiscale airway model. Biophysical Journal, 107(12), 3030-3042. https://doi.org/10.1016/j.bpj.2014.10.067

Laplace approximation of Lauricella functions F A and F D (2014)
Journal Article
Butler, R., & Wood, A. T. (2015). Laplace approximation of Lauricella functions F A and F D. Advances in Computational Mathematics, 41(6), https://doi.org/10.1007/s10444-014-9397-5

The Lauricella functions, which are generalizations of the Gauss hypergeometric function 2 F 1, arise naturally in many areas of mathematics and statistics. So far as we are aware, there is little or nothing in the literature on how to calculate nume... Read More about Laplace approximation of Lauricella functions F A and F D.

Iterative regularization for ensemble data assimilation in reservoir models (2014)
Journal Article
Iglesias, M. A. (2015). Iterative regularization for ensemble data assimilation in reservoir models. Computational Geosciences, 19(1), 177-212. https://doi.org/10.1007/s10596-014-9456-5

A boundary integral formalism for stochastic ray tracing in billiards (2014)
Journal Article
Chappell, D., & Tanner, G. (in press). A boundary integral formalism for stochastic ray tracing in billiards. Chaos, 24, Article 043137. https://doi.org/10.1063/1.4903064

Determining the flow of rays or non-interacting particles driven by a force or velocity field is fundamental to modelling many physical processes. These include particle flows arising in fluid mechanics and ray flows arising in the geometrical optics... Read More about A boundary integral formalism for stochastic ray tracing in billiards.

Snakes and ladders in an inhomogeneous neural field model (2014)
Journal Article
Avitabile, D., & Schmidt, H. (2015). Snakes and ladders in an inhomogeneous neural field model. Physica D: Nonlinear Phenomena, 294, 24-36. https://doi.org/10.1016/j.physd.2014.11.007

Continuous neural field models with inhomogeneous synaptic connectivities are known to support traveling fronts as well as stable bumps of localized activity. We analyze stationary localized structures in a neural field model with periodic modulation... Read More about Snakes and ladders in an inhomogeneous neural field model.