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• W835371505 abstract "Changes of shape are important in many situations of interest in biology at different typicallength scales. Approaches for modelling the behaviour of droplets in suspension and thermallydrivenmotion of the molecular chains in enzymes are presented. Both models use orthogonalbasis functions to describe the spatial dependences in a spherical geometry. Both models alsodescribe the effect of time-dependent boundary data on the shape of the bodies involved, astochastic response for the enzyme model (dimensions of the order 10−9 m) and smooth responsefor the colloidal model (dimensions of the order 10−6 m).The first model presented considers the behaviour of a droplet of fluid surrounded by a thinfilm of host fluid, both fluids being Newtonian and immiscible, with a well-defined continuousand smooth interface between these regions. The flows for the droplet and host fluid are assumedaxisymmetric with small Reynold numbers. An extension of traditional lubrication theory isused to model the flow for the host fluid and a multi-modal Stokes flow is used to derive the flowwithin the droplet, subject to continuity conditions at the interface between the droplet andhost fluid. The interface is free to move in response to the flows, under the effects of interfacialtension. Asymptotic expansions for the flow variables and interface are used to find the simplestbehaviour of the system beyond the leading order.The second unique modelling approach used is the method of Zernike moments. Zernikemoments are an extension of spherical harmonics to include more general radial dependence andthe ability to model holes, folded layers etc. within and on the unit sphere. The method hastraditionally been used to describe the shape of enzymes in a static time-independent manner.This approach is extended to give results based on the thermally-driven motion of atoms inmolecules about their equilibrium positions. The displacements are assumed to be fitted byNormal probability distributions. The precision and accuracy of this model are considered andcompared to similar models.Results are plotted and discussed for both regimes and further extensions, improvementsand basis for further work are discussed for both approaches." @default.
• W835371505 created "2016-06-24" @default.
• W835371505 creator A5058704989 @default.
• W835371505 date "2012-06-01" @default.
• W835371505 modified "2023-09-25" @default.
• W835371505 title "Spatio–temporal analysis of changes of shape for constituent bodies within biomolecular aggregates" @default.
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