Search Results - "Wall, D. J. N."
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A Two-Pathway Mathematical Model of the LH Response to GnRH that Predicts Self-Priming
Published in International Journal of Endocrinology (01-01-2013)“…An acute response of LH to a stimulatory pulse of GnRH is modelled as a result of a pathway (Pathway I) that consists of two compartments including a single…”
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Atherosclerosis and calcium signalling in endothelial cells
Published in Progress in biophysics and molecular biology (01-07-2006)“…The link between atherosclerosis and regions of disturbed flow and low wall shear stress is now firmly established, but the causal mechanisms underlying the…”
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The role of endothelial calcium and nitric oxide in the localisation of atherosclerosis
Published in Mathematical biosciences (01-05-2007)“…A mathematical model of endothelial cell calcium signalling and nitric oxide synthesis under flow conditions is presented. The model is coupled to two…”
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Conjugate gradient method applied to inverse scattering problem
Published in IEEE transactions on antennas and propagation (01-08-1995)“…A new reconstruction algorithm for diffraction tomography is presented. The algorithm is based on the minimization of a functional which is defined as the norm…”
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On a cell‐growth model for plankton
Published in Mathematical medicine and biology (01-03-2004)“…The frequency distribution of diatoms (microscopic unicellular alga with silicified cell‐walls, found as plankton) is shown to evolve in time as a steady‐size…”
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The T-matrix approach for scattering by a traction-free periodic rough surface
Published in The Journal of the Acoustical Society of America (01-01-1984)“…A T matrix is formulated to characterize scattering by a traction-free periodic rough surface and numerical results for several surface profiles are presented…”
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On a multicompartment age-distribution model of cell growth
Published in IMA journal of applied mathematics (01-12-2010)“…We study a linear multicompartment age-distribution model of cell growth, where the age variable represents the time spent in the current phase of cell growth…”
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Concentration of blood-borne agonists at the endothelium
Published in Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences (08-02-2006)“…are captured, but the underlying effects on mass transport, and, hence, on endothelial cell function, are not masked by complex three-dimensional flow. Indeed,…”
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Null Field Approach to Scalar Diffraction. I. General Method
Published in Philosophical transactions of the Royal Society of London. Series A: Mathematical and physical sciences (20-09-1977)“…Invoking the optical extinction theorem (extended boundary condition) the conventional singular integral equation (for the density of reradiating sources…”
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On a cell-growth model for plankton
Published in IMA journal of management mathematics (01-03-2004)“…The frequency distribution of diatoms (microscopic unicellular alga with silicified cell-walls, found as plankton) is shown to evolve in time as a steady-size…”
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A time domain algorithm for the reflection of waves on a viscoelastically supported Timoshenko beam
Published in Quarterly journal of mechanics and applied mathematics (01-05-1999)“…This paper presents a time domain algorithm for solving the direct wave scattering problem for a Timoshenko beam. The beam is assumed to be made of a…”
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Diffraction of waves by surface breaking cracks
Published in The Journal of the Acoustical Society of America (01-05-1981)“…The diffraction of waves by a crack breaking the surface of a homogeneous half-space is considered. By the use of image theory this problem is reduced to…”
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Surface fields on sound hard and sound soft obstacles with sharp and smooth boundaries
Published in The Journal of the Acoustical Society of America (01-11-1980)“…The computation of the surface fields generated on a sound hard or sound soft obstacle when irradiated by a plane harmonic wave is a challenging problem when…”
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Sound scattering from objects with sharp corners
Published in The Journal of the Acoustical Society of America (01-05-1981)“…The null field method with a suitable set of basis functions is employed to study acoustic wave scattering from objects with sharp corners. Numerical results…”
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Null field approach to scalar diffraction - Null field approach to scalar diffraction III. Inverse methods
Published in Philosophical transactions of the Royal Society of London. Series A: Mathematical and physical sciences (20-09-1977)“…We show how our null field methods might be adapted to provide a sharp numerical test for the radius at which a series expansion of a scattered field starts to…”
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Null field approach to scalar diffraction - Null field approach to scalar diffraction II. Approximate methods
Published in Philosophical transactions of the Royal Society of London. Series A: Mathematical and physical sciences (20-09-1977)“…We develop from our generalized null field method a generalization of the Kirchhoff, or physical optics, approach to diffraction theory. Corresponding to each…”
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Null field approach to scalar diffraction - Null field approach to scalar diffraction I. General method
Published in Philosophical transactions of the Royal Society of London. Series A: Mathematical and physical sciences (20-09-1977)“…Invoking the optical extinction theorem (extended boundary condition) the conventional singular integral equation (for the density of reradiating sources…”
Get full text
Journal Article -
20
Null Field Approach to Scalar Diffraction. II. Approximate Methods
Published in Philosophical transactions of the Royal Society of London. Series A: Mathematical and physical sciences (20-09-1977)“…We develop from our generalized null field method a generalization of the Kirchhoff, or physical optics, approach to diffraction theory. Corresponding to each…”
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