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Outputs (159)

On expected durations of birth-death processes with applications to branching processes and SIS epidemics (2016)
Journal Article
Ball, F., Britton, T., & Neal, P. (2016). On expected durations of birth-death processes with applications to branching processes and SIS epidemics. Journal of Applied Probability, 53(1), https://doi.org/10.1017/jpr.2015.19

We study continuous-time birth–death type processes, where individuals have independent and identically distributed lifetimes, according to a random variable Q, with E[Q] = 1, and where the birth rate if the population is currently in state (has size... Read More about On expected durations of birth-death processes with applications to branching processes and SIS epidemics.

Evolution and spherical collapse in Einstein-Æther theory and Hořava gravity (2016)
Journal Article
Bhattacharyya, J., Coates, A., Colombo, M., & Sotiriou, T. P. (2016). Evolution and spherical collapse in Einstein-Æther theory and Hořava gravity. Physical Review D, 93(6), Article 64056. https://doi.org/10.1103/PhysRevD.93.064056

We compare the initial value formulation of the low-energy limit of (nonprojectable) Hořava gravity to that of Einstein-æther theory when the æther is assumed to be hypersurface orthogonal at the level of the field equations. This comparison clearly... Read More about Evolution and spherical collapse in Einstein-Æther theory and Hořava gravity.

Inertial effects on thin-film wave structures with imposed surface shear on an inclined plane (2016)
Journal Article
Sivapuratharasu, M., Hibberd, S., Hubbard, M. E., & Power, H. (2016). Inertial effects on thin-film wave structures with imposed surface shear on an inclined plane. Physica D: Nonlinear Phenomena, 325, 86-97. https://doi.org/10.1016/j.physd.2016.03.008

This study provides an extended approach to the mathematical simulation of thin-film flow on a flat inclined plane relevant to flows subject to high surface shear. Motivated by modelling thin-film structures within an industrial context, wave structu... Read More about Inertial effects on thin-film wave structures with imposed surface shear on an inclined plane.

Discrete structures in continuum descriptions of defective crystals (2016)
Journal Article
Parry, G. P. (2016). Discrete structures in continuum descriptions of defective crystals. Philosophical Transactions A: Mathematical, Physical and Engineering Sciences, 374(2066), https://doi.org/10.1098/rsta.2015.0172

I discuss various mathematical constructions that combine together to provide a natural setting for discrete and continuum geometric models of defective crystals. In particular I provide a quite general list of `plastic strain variables', which quant... Read More about Discrete structures in continuum descriptions of defective crystals.

Variational finite element methods for waves in a Hele-Shaw tank (2016)
Journal Article
Kalogirou, A., Moulopoulou, E. E., & Bokhove, O. (2016). Variational finite element methods for waves in a Hele-Shaw tank. Applied Mathematical Modelling, 40(17-18), 7493-7503. https://doi.org/10.1016/j.apm.2016.02.036

The damped motion of driven water waves in a Hele-Shaw tank is investigated variationally and numerically. The equations governing the hydrodynamics of the problem are derived from a variational principle for shallow water. The variational principle... Read More about Variational finite element methods for waves in a Hele-Shaw tank.

Pointed Hopf Algebras with Triangular Decomposition: A Characterization of Multiparameter Quantum Groups (2016)
Journal Article
Laugwitz, R. (2016). Pointed Hopf Algebras with Triangular Decomposition: A Characterization of Multiparameter Quantum Groups. Algebras and Representation Theory, 19(3), 547-578. https://doi.org/10.1007/s10468-015-9588-x

© 2016, The Author(s). In this paper, we present an approach to the definition of multiparameter quantum groups by studying Hopf algebras with triangular decomposition. Classifying all of these Hopf algebras which are of what we call weakly separable... Read More about Pointed Hopf Algebras with Triangular Decomposition: A Characterization of Multiparameter Quantum Groups.

A spectral boundary integral method for inviscid water waves in a finite domain (2016)
Journal Article
Im, J.-S., & Billingham, J. (2016). A spectral boundary integral method for inviscid water waves in a finite domain. International Journal for Numerical Methods in Fluids, 82(7), 437-448. https://doi.org/10.1002/fld.4225

In this paper, we show how the spectral formulation of Baker, Meiron and Orszag can be used to solve for waves on water of infinite depth confined between two flat, vertical walls, and also how it can be modified to take into account water of finite... Read More about A spectral boundary integral method for inviscid water waves in a finite domain.

The spatiotemporal order of signaling events unveils the logic of development signaling (2016)
Journal Article
Zhu, H., Owen, M. R., & Mao, Y. (in press). The spatiotemporal order of signaling events unveils the logic of development signaling. Bioinformatics, 32(15), https://doi.org/10.1093/bioinformatics/btw121

Motivation: Animals from worms and insects to birds and mammals show distinct body plans; however, the embryonic development of diverse body plans with tissues and organs within is controlled by a surprisingly few signaling pathways. It is well recog... Read More about The spatiotemporal order of signaling events unveils the logic of development signaling.

Multicellular mathematical modelling of mesendoderm formation in amphibians (2016)
Journal Article
Brown, L., Middleton, A., King, J., & Loose, M. (2016). Multicellular mathematical modelling of mesendoderm formation in amphibians. Bulletin of Mathematical Biology, 78(3), 436-467. https://doi.org/10.1007/s11538-016-0150-8

The earliest cell fate decisions in a developing embryo are those associated with establishing the germ layers. The specification of the mesoderm and endoderm is of particular interest as the mesoderm is induced from the endoderm, potentially from an... Read More about Multicellular mathematical modelling of mesendoderm formation in amphibians.