DSpace Collection:
http://hdl.handle.net/2440/1087
2014-04-16T07:21:32ZModelling van der Waals interaction between water molecules and biological channels
http://hdl.handle.net/2440/82541
Title: Modelling van der Waals interaction between water molecules and biological channels
Author: Garalleh, Hakim Al; Thamwattana, Ngamta; Cox, Barry James; Hill, James Murray
Abstract: We examine the van der Waals interactions between water molecules with both water channels, aquaporin-Z and glycerol channel GlpF. Here we model these problems using classical applied mathematics and obtain the potential energy for a water molecule interacting with the channels which we assume in both cases to have a flaired right cylindrical geometry. We propose a continuous model where all the atoms comprising the channels are assumed to be uniformly distributed within their volume. We model a water molecule as comprising two parts: firstly as a single point representing the location of the oxygen atom, and a spherical shell over which we assume a uniform distribution of the two hydrogen atoms. Our results indicate the spontaneous acceptance of water molecules into these channels.2012-12-31T13:30:00ZDistinguishing between mechanisms of cell aggregation
using pair-correlation functions
http://hdl.handle.net/2440/82249
Title: Distinguishing between mechanisms of cell aggregation
using pair-correlation functions
Author: Agnew, D. J. G.; Green, John Edward; Brown, T. M.; Simpson, M. J.; Binder, Benjamin James2013-12-31T13:30:00ZDirect chaotic flux quantification in perturbed planar flows: general time-periodicity
http://hdl.handle.net/2440/82227
Title: Direct chaotic flux quantification in perturbed planar flows: general time-periodicity
Author: Balasuriya, Sanjeeva
Abstract: Chaotic flux occurring across a heteroclinic upon perturbing an area-preserving planar flow is examined. The perturbation is assumed to have general periodicity, extending the harmonic requirement that is often used. Its spatial and temporal parts are moreover not required to be separable. This scenario, though well-understood phenomenologically, has until now had no computable formula for the quantification of the resulting chaotic flux. This article derives such a formula, by directly assessing the unequal lobe areas that are transported via a turnstile mechanism. The formula involves a bi-infinite summation of quantities related to Fourier coefficients of the associated Melnikov function. These are themselves directly obtainable using a Fourier transform process. An example is treated in detail, illustrating the relative ease in which the flux computation can be performed using this theory.2004-12-31T13:30:00ZOptimal perturbation for enhanced chaotic transport
http://hdl.handle.net/2440/82226
Title: Optimal perturbation for enhanced chaotic transport
Author: Balasuriya, Sanjeeva2004-12-31T13:30:00Z