Penny J. Davies

University of Strathclyde

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Dugald B. Duncan

Heriot-Watt University

B. Zubik‐Kowal

Boise State University

Ingolf Sack

Charité - Universitätsmedizin Berlin

Eric Barnhill

iRhythm (United States)

K. Rajaram

Manchester Royal Infirmary

Peter Selby

Manchester Royal Infirmary

A. Cuschieri

Scuola Superiore Sant'Anna

Mark A. Aves

University of Dundee

Athanasios Kalantzis

Manchester Royal Infirmary

Hermann Brunner

Hong Kong Baptist University

Cooperative Institutions

University of Dundee

University of Edinburgh

Manchester Royal Infirmary

Heriot-Watt University

Charité - Universitätsmedizin Berlin

Humboldt-Universität zu Berlin

Freie Universität Berlin

Maxwell Institute for Mathematical Sciences

Ninewells Hospital

University of Manchester

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Convergence of a Collocation Scheme for a Retarded Potential Integral Equation

Springer eBooks (2003)

Dugald B. Duncan Penny J. Davies

Collocation (remote sensing)

Regularization

10.1007/978-3-642-55856-6_125

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Citations (1)

Data approximation by neural nets for the MRE inverse problem in the frequency and time domains

IMA Journal of Applied Mathematics (2025)

Penny J. Davies

Abstract “Stacked” matrix approximation methods for computing the shear modulus in the magnetic resonance elastography (MRE) inverse problem have been shown to work well in both the frequency and time domain formulations, and are robust to moderate levels of noise. However, when finite differences are used to approximate derivatives of the measured displacement the algorithms can break down at high noise levels. Here we show that if instead a neural network is used to approximate the derivatives of the noisy displacement data, then the overall MRE algorithms become much more robust to noise pollution. Extensive tests indicate that the new methods perform extremely well even in the presence of very high levels of noise, and no additional processing or smoothing of the data is required.

10.1093/imamat/hxaf004

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Puncture forces of solid organ surfaces

Surgical Endoscopy (2000)

F. J. Carter T. G. Frank Penny J. Davies A. Cuschieri

10.1007/s004640000165

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Citations (16)

Accurate and Efficient Algorithms for Frequency Domain Scattering from a Thin Wire

Journal of Computational Physics (2001)

Penny J. Davies Dugald B. Duncan Stefan A. Funken

10.1006/jcph.2000.6688

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La participación del cliente en la generación y transferencia de tecnología: un modelo mixto

REVISTA CEIBA (2014)

Graham Thiele Penny J. Davies Rosario Queirolo Roy Vélez Jhon Farrington

El desarrollo de tecnologia agropecuaria normalmente comprende Dos funciones distintas: generacion y transferencia, Ia ultima incluyendo una retroalimentacion de los agricultores hacia los investigadores (o generadores) de tecnologias dentro de instituciones formales. Existe en varios modelos institucionales que pueden actuar como medios para llevar a cabo estas funciones.

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Mathematical modeling and numerics for keyhole surgery simulations

Penny J. Davies

Surgeons receive special training in order to practice endoscopic or keyhole surgery. Much of their training is carried out on hollow dummies supplemented by videos of real operations. This approach can be expensive and has limitations. Considers a long-term aim to produce a computer training package that simulates abdominal keyhole surgery.

Keyhole

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On the behaviour of time discretisations of the electric field integral equation

Applied Mathematics and Computation (2000)

Penny J. Davies Dugald B. Duncan

10.1016/s0096-3003(98)10146-7

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Citations (9)

FIXED POINTS AND SPURIOUS MODES OF A NONLINEAR INFINITE-STEP MAP

WORLD SCIENTIFIC eBooks (1996)

Mark A. Aves Penny J. Davies Nicholas J. Higham

Spurious relationship

10.1142/9789812812872_0003

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Citations (1)

Buckling and barrelling instabilities in finite elasticity

Journal of Elasticity (1989)

Penny J. Davies

Elasticity

Elastic instability

10.1007/bf00040894

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Citations (27)

Mathematical Modelling for Keyhole Surgery Simulations: Spleen Capsule as an Elastic Membrabe

Computational and Mathematical Methods in Medicine (1998)

Penny J. Davies Fiona J. Carter D.G. Roxburgh A. Cuschieri

We show that the mechanical properties of the outer covering (or capsule) of pig spleen can be modelled as a nonlinear elastic membrane with an exponential stress‐strain Law. Knowledge of the caspule′s elastic properties is important for the development of a virtual reality training package for keyhole surgery. Bccause capsule tissue is very fragile and tears when clamped and pulled it is not possible to obtain experimental data for which the usual uniform stretch data‐fitting approach can be adoptcd.Instcad we perform experiments in which the capsule deforms non‐uniformly and describe how numerical solutions of the corresponding boundary value problem can be fitted to the experimerimental data in order to validate the biomechanical model.

Keyhole

Capsule

10.1080/10273669908833024

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Citations (18)