Jonathan Whiteley : Publications

Sensitivity of cartilage mechanical behaviour to spatial variations in material properties

J.P. Whiteley‚ C.P. Brown and E.A. Gaffney

In Journal of the Mechanical Behavior of Biomedical Materials. Vol. 156. Pages 106575. 2024.

Details about Sensitivity of cartilage mechanical behaviour to spatial variations in material properties | BibTeX data for Sensitivity of cartilage mechanical behaviour to spatial variations in material properties | DOI (https://doi.org/10.1016/j.jmbbm.2024.106575)

Modelling articular cartilage: the relative motion of two adjacent poroviscoelastic layers

J.P. Whiteley‚ C.P. Brown and E.A. Gaffney

In Mathematical Medicine and Biology. Vol. 39. Pages 251−298. 2022.

Details about Modelling articular cartilage: the relative motion of two adjacent poroviscoelastic layers | BibTeX data for Modelling articular cartilage: the relative motion of two adjacent poroviscoelastic layers | DOI (10.1093/imammb/dqac005)

Model Reduction for Initial Value ODEs

A. Ambuehl and J.P. Whiteley

In Mathematical Biosciences. Vol. 337. Pages 108618. 2021.

Details about Model Reduction for Initial Value ODEs | BibTeX data for Model Reduction for Initial Value ODEs | DOI (10.1016/j.mbs.2021.108618)

Modelling the Inclusion of Swelling Pressure in a Tissue Level Poroelastic Model of Cartilage Deformation

J.P. Whiteley and E.A. Gaffney

In Mathematical Medicine and Biology. Vol. 37. Pages 390−429. 2020.

Details about Modelling the Inclusion of Swelling Pressure in a Tissue Level Poroelastic Model of Cartilage Deformation | BibTeX data for Modelling the Inclusion of Swelling Pressure in a Tissue Level Poroelastic Model of Cartilage Deformation | DOI (10.1093/imammb/dqaa001)

Impact on Floating Thin Elastic Sheets: a Mathematical Model

D. O'Kiely‚ F. Box‚ O. Kodio‚ J. Whiteley and D. Vella

In Physical Review Fluids. Vol. 5. Pages 014003. 2020.

Details about Impact on Floating Thin Elastic Sheets: a Mathematical Model | BibTeX data for Impact on Floating Thin Elastic Sheets: a Mathematical Model | DOI (10.1103/PhysRevFluids.5.014003)

An evaluation of some assumptions underpinning the bidomain equations of electrophysiology

J.P. Whiteley

In Mathematical Medicine and Biology. Vol. 37. Pages 262−302. 2020.

Details about An evaluation of some assumptions underpinning the bidomain equations of electrophysiology | BibTeX data for An evaluation of some assumptions underpinning the bidomain equations of electrophysiology | DOI (10.1093/imammb/dqz014)

Multiscale modelling and homogenisation of fibre−reinforced hydrogels for tissue engineering

M.J. Chen‚ L.S. Kimpton‚ J.P. Whiteley‚ M. Castilho‚ J. Malda‚ C.P. Please‚ S.L. Waters and H.M. Byrne

In European Journal of Applied Mathematics. Vol. 31. Pages 143−171. 2020.

Details about Multiscale modelling and homogenisation of fibre−reinforced hydrogels for tissue engineering | BibTeX data for Multiscale modelling and homogenisation of fibre−reinforced hydrogels for tissue engineering | DOI (10.1017/S0956792518000657)

Identifying chondrogenesis strategies for tissue engineering of articular cartilage

M.J. Chen‚ J.P. Whiteley‚ C.P. Please‚ F. Ehlicke‚ S.L. Waters and H.M. Byrne

In Journal of Tissue Engineering. Vol. 10. Pages 1−14. 2019.

Details about Identifying chondrogenesis strategies for tissue engineering of articular cartilage | BibTeX data for Identifying chondrogenesis strategies for tissue engineering of articular cartilage | DOI (10.1177/2041731419842431)

The combined impact of tissue heterogeneity and fixed charge for models of cartilage: the one−dimensional biphasic swelling model revisited

V. Klika‚ J.P. Whiteley‚ C.P. Brown and E.A. Gaffney

In Biomechanics and Modeling in Mechanobiology. Vol. 18. Pages 953−968. 2019.

Details about The combined impact of tissue heterogeneity and fixed charge for models of cartilage: the one−dimensional biphasic swelling model revisited | BibTeX data for The combined impact of tissue heterogeneity and fixed charge for models of cartilage: the one−dimensional biphasic swelling model revisited | DOI (10.1007/s10237-019-01123-7)

Representation of Multiple Cellular Phenotypes Within Tissue−Level Simulations of Cardiac Electrophysiology

L.A. Bowler‚ D.J. Gavaghan‚ G.R. Mirams and J.P. Whiteley

In Bulletin of Mathematical Biology. Vol. 81. Pages 7−38. 2019.

Details about Representation of Multiple Cellular Phenotypes Within Tissue−Level Simulations of Cardiac Electrophysiology | BibTeX data for Representation of Multiple Cellular Phenotypes Within Tissue−Level Simulations of Cardiac Electrophysiology | DOI (10.1007/s11538-018-0516-1)

On the deflection of a liquid jet by an air−cushioning layer

M.R. Moore‚ J.P. Whiteley and J.M. Oliver

In Journal of Fluid Mechanics. Vol. 846. Pages 711−751. 2018.

Details about On the deflection of a liquid jet by an air−cushioning layer | BibTeX data for On the deflection of a liquid jet by an air−cushioning layer | DOI (doi:10.1017/jfm.2018.310)

Predictive mathematical models for the spread and treatment of hyperoxia−induced photoreceptor degeneration in retinitis pigmentosa

P.A. Roberts‚ E.A. Gaffney‚ J.P. Whiteley‚ P.J. Luthert‚ A.J.E. Foss and H.M. Byrne

In Investigative Opthalmology & Visual Science. Vol. 59. Pages 1238−1249. 2018.

Details about Predictive mathematical models for the spread and treatment of hyperoxia−induced photoreceptor degeneration in retinitis pigmentosa | BibTeX data for Predictive mathematical models for the spread and treatment of hyperoxia−induced photoreceptor degeneration in retinitis pigmentosa | DOI (10.1167/iovs.17-23177)

Inducing chondrogenesis in MSC/chondrocyte co−cultures using exogenous TGF−β: a mathematical model

M.J. Chen‚ J.P. Whiteley‚ C.P. Please‚ A. Schwab‚ F. Ehlicke‚ S.L. Waters and H.M. Byrne

In Journal of Theoretical Biology. Vol. 439. Pages 1−13. 2018.

Details about Inducing chondrogenesis in MSC/chondrocyte co−cultures using exogenous TGF−β: a mathematical model | BibTeX data for Inducing chondrogenesis in MSC/chondrocyte co−cultures using exogenous TGF−β: a mathematical model | DOI (10.1016/j.jtbi.2017.11.024)

Potential for non−invasive assessment of lung inhomogeneity using highly precise‚ highly time−resolved‚ measurements of gas exchange

J.E. Mountain‚ P. Santer‚ D.P. O'Neill‚ N.M.J. Smith‚ L. Ciaffoni‚ J.H. Couper‚ G.A.D. Ritchie‚ G. Hancock‚ J.P. Whiteley and P.A. Robbins

In Journal of Applied Physiology. Vol. 124. Pages 615−631. 2018.

Details about Potential for non−invasive assessment of lung inhomogeneity using highly precise‚ highly time−resolved‚ measurements of gas exchange | BibTeX data for Potential for non−invasive assessment of lung inhomogeneity using highly precise‚ highly time−resolved‚ measurements of gas exchange | DOI (10.1152/japplphysiol.00745.2017)

Pattern formation in multiphase models of chemotactic cell aggregation

J.E.F. Green‚ J.P. Whiteley‚ J.M. Oliver‚ H.M. Byrne and S.L. Waters

In Mathematical Medicine and Biology. Vol. 35. Pages 319−346. 2018.

Details about Pattern formation in multiphase models of chemotactic cell aggregation | BibTeX data for Pattern formation in multiphase models of chemotactic cell aggregation | DOI (10.1093/imammb/dqx005)

Finite Element Methods‚ A Practical Guide

Jonathan Whiteley

Springer. 2017.

Details about Finite Element Methods‚ A Practical Guide | BibTeX data for Finite Element Methods‚ A Practical Guide | DOI (10.1007/978-3-319-49971-0)

A mathematical model for cell infiltration and proliferation in a chondral defect

L.S. Kimpton‚ A. Schwab‚ F. Ehlicke‚ S.L. Waters‚ C.P. Please‚ J.P. Whiteley and H.M. Byrne

In Mathematical Biosciences. Vol. 292. Pages 46−56. 2017.

Details about A mathematical model for cell infiltration and proliferation in a chondral defect | BibTeX data for A mathematical model for cell infiltration and proliferation in a chondral defect | DOI (10.1016/j.mbs.2017.07.008)

A preconditioner for the finite element computation of incompressible‚ nonlinear elastic deformations

J.P. Whiteley

In Computational Mechanics. Vol. 60. Pages 683−692. 2017.

Details about A preconditioner for the finite element computation of incompressible‚ nonlinear elastic deformations | BibTeX data for A preconditioner for the finite element computation of incompressible‚ nonlinear elastic deformations | DOI (10.1007/s00466-017-1430-3)

Mathematical modelling of cell layer growth in a hollow fibre bioreactor

L.A.C. Chapman‚ J.P. Whiteley‚ H.M. Byrne‚ S.L. Waters and R.J. Shipley

In Journal of Theoretical Biology. Vol. 418. Pages 36−56. 2017.

Details about Mathematical modelling of cell layer growth in a hollow fibre bioreactor | BibTeX data for Mathematical modelling of cell layer growth in a hollow fibre bioreactor | DOI (10.1016/j.jtbi.2017.01.016)

Kinetic effects regularize the mass−flux singularity at the contact line of a thin evaporating drop

M.A. Saxton‚ D. Vella‚ J.P. Whiteley and J.M. Oliver

In Journal of Engineering Mathematics. Vol. 106. Pages 47−73. 2017.

Details about Kinetic effects regularize the mass−flux singularity at the contact line of a thin evaporating drop | BibTeX data for Kinetic effects regularize the mass−flux singularity at the contact line of a thin evaporating drop | DOI (10.1007/s10665-016-9892-4)

On thin evaporating drops: When is the d²−law valid?

M.A. Saxton‚ J.P. Whiteley‚ D. Vella and J.M. Oliver

In Journal of Fluid Mechanics. Vol. 792. Pages 134−167. 2016.

Details about On thin evaporating drops: When is the d²−law valid? | BibTeX data for On thin evaporating drops: When is the d²−law valid? | DOI (10.1017/jfm.2016.76)

The influence of hydrostatic pressure on tissue engineered bone development

K.H.L. Nessler‚ J.R. Henstock‚ A.J. El Haj‚ S.L Waters‚ J.P. Whiteley and J.M. Osborne

In Journal of Theoretical Biology. Vol. 394. Pages 149−159. 2016.

Details about The influence of hydrostatic pressure on tissue engineered bone development | BibTeX data for The influence of hydrostatic pressure on tissue engineered bone development | DOI (10.1016/j.jtbi.2015.12.020)

Approaches to myosin modelling in a two–phase model for cell motility

L.S. Kimpton‚ J.P. Whiteley‚ S.L. Waters and J.M. Oliver

In Physica D. Vol. 318−319. Pages 34−49. 2016.

Details about Approaches to myosin modelling in a two–phase model for cell motility | BibTeX data for Approaches to myosin modelling in a two–phase model for cell motility | DOI (10.1016/j.physd.2015.10.003)

An investigation of the influence of extracellular matrix anisotropy and cell–matrix interactions on tissue architecture

R.J. Dyson‚ J.E.F. Green‚ J.P. Whiteley and H.M. Byrne

In Journal of Mathematical Biology. Vol. 72. Pages 1775−1809. 2016.

Details about An investigation of the influence of extracellular matrix anisotropy and cell–matrix interactions on tissue architecture | BibTeX data for An investigation of the influence of extracellular matrix anisotropy and cell–matrix interactions on tissue architecture | DOI (10.1007/s00285-015-0927-7)

A discontinuous Galerkin finite element method for multiphase viscous flow

J.P. Whiteley

In SIAM Journal on Scientific Computing. Vol. 37. Pages B591−B612. 2015.

Details about A discontinuous Galerkin finite element method for multiphase viscous flow | BibTeX data for A discontinuous Galerkin finite element method for multiphase viscous flow | DOI (10.1137/14098497X)

On contact–line dynamics with mass transfer

J.M. Oliver‚ J.P. Whiteley‚ M.A. Saxton‚ D. Vella‚ V.S. Zubkov and J.R. King

In European Journal of Applied Mathematics. Vol. 26. Pages 671–719. 2015.

Details about On contact–line dynamics with mass transfer | BibTeX data for On contact–line dynamics with mass transfer | DOI (10.1017/S0956792515000364)

Inertial rise of a meniscus on a vertical cylinder

D. O'Kiely‚ J.P. Whiteley‚ J.M. Oliver and D. Vella

In Journal of Fluid Mechanics. Vol. 768. 2015.

Details about Inertial rise of a meniscus on a vertical cylinder | BibTeX data for Inertial rise of a meniscus on a vertical cylinder | DOI (10.1017/jfm.2015.89)

Evaluation of the Growth Environment of a Hydrostatic Force Bioreactor for Preconditioning of Tissue−Engineered Constructs

Y. Reinwald‚ K.H.L. Leonard‚ J.R. Henstock‚ J.P. Whiteley‚ J.M. Osborne‚ S.L. Waters‚ P. Levesque and A.J. El Haj

In Tissue Engineering Part C. Vol. 21. No. 1. Pages 1−14. 2015.

Details about Evaluation of the Growth Environment of a Hydrostatic Force Bioreactor for Preconditioning of Tissue−Engineered Constructs | BibTeX data for Evaluation of the Growth Environment of a Hydrostatic Force Bioreactor for Preconditioning of Tissue−Engineered Constructs | DOI (10.1089/ten.tec.2013.0476)

On a poroviscoelastic model for cell crawling

L.S. Kimpton‚ J.P. Whiteley‚ S.L. Waters and J.M. Oliver

In Journal of Mathematical Biology. Vol. 70. Pages 133−171. 2015.

Details about On a poroviscoelastic model for cell crawling | BibTeX data for On a poroviscoelastic model for cell crawling | DOI (10.1007/s00285-014-0755-1)

Optimising cell aggregate expansion in a perfused hollow fibre bioreactor via mathematical modelling

L.A.C. Chapman‚ R.J. Shipley‚ J.P. Whiteley‚ M.J. Ellis‚ H.M. Byrne and S.L. Waters

In PLoS ONE. Vol. 9. Pages e105813. 2014.

Details about Optimising cell aggregate expansion in a perfused hollow fibre bioreactor via mathematical modelling | BibTeX data for Optimising cell aggregate expansion in a perfused hollow fibre bioreactor via mathematical modelling | DOI (10.1371/journal.pone.0105813) | Link to Optimising cell aggregate expansion in a perfused hollow fibre bioreactor via mathematical modelling

The effect of membrane−regulated actin polymerization on a two−phase flow model for cell motility

L.S. Kimpton‚ J.P. Whiteley‚ S.L. Waters and J.M. Oliver

In IMA Journal of Applied Mathematics. Vol. 79. Pages 603−635. 2014.

Details about The effect of membrane−regulated actin polymerization on a two−phase flow model for cell motility | BibTeX data for The effect of membrane−regulated actin polymerization on a two−phase flow model for cell motility | DOI (10.1093/imamat/hxu035)

Error estimation and adaptivity for incompressible hyperelasticity

J.P. Whiteley and S.J. Tavener

In International Journal for Numerical Methods in Engineering. Vol. 99. Pages 313−332. 2014.

Details about Error estimation and adaptivity for incompressible hyperelasticity | BibTeX data for Error estimation and adaptivity for incompressible hyperelasticity | DOI (10.1002/nme.4677)

Automatic simplification of systems of reaction–diffusion equations by a posteriori analysis

P.J. Maybank and J.P. Whiteley

In Mathematical Biosciences. Vol. 248. Pages 146−157. 2014.

Details about Automatic simplification of systems of reaction–diffusion equations by a posteriori analysis | BibTeX data for Automatic simplification of systems of reaction–diffusion equations by a posteriori analysis | DOI (10.1016/j.mbs.2013.12.011)

Modelling the effect of gap junctions on tissue–level cardiac electrophysiology

D. Bruce‚ P. Pathmanathan and J.P. Whiteley

In Bulletin of Mathematical Biology. Vol. 76. Pages 431−454. 2014.

Details about Modelling the effect of gap junctions on tissue–level cardiac electrophysiology | BibTeX data for Modelling the effect of gap junctions on tissue–level cardiac electrophysiology | DOI (10.1007/s11538-013-9927-1)

Heat or mass transfer at low Péclet number for Brinkman and Darcy flow round a sphere

C.G. Bell‚ H.M. Byrne‚ J.P. Whiteley and S.L. Waters

In International Journal of Heat and Mass Transfer. Vol. 68. Pages 247−258. 2014.

Details about Heat or mass transfer at low Péclet number for Brinkman and Darcy flow round a sphere | BibTeX data for Heat or mass transfer at low Péclet number for Brinkman and Darcy flow round a sphere | DOI (10.1016/j.ijheatmasstransfer.2013.09.017)

Homogenization via formal multiscale asymptotics and volume averaging: how do the two techniques compare?

Y. Davit and C.G. Bell and H.M. Byrne and L.A.C. Chapman and L.S. Kimpton and G.E. Lang and K.H.L. Leonard‚ J.M. Oliver‚ N.C. Pearson‚ R.J. Shipley‚ S.L. Waters‚ J.P. Whiteley‚ B.D. Wood and M. Quintard

In Advances in Water Resources. Vol. 62. Pages 178−206. 2013.

Details about Homogenization via formal multiscale asymptotics and volume averaging: how do the two techniques compare? | BibTeX data for Homogenization via formal multiscale asymptotics and volume averaging: how do the two techniques compare? | DOI (10.1016/j.advwatres.2013.09.006)

Multiple travelling wave solutions in a minimal model for cell motility

L.S. Kimpton‚ J.P. Whiteley‚ S.L. Waters‚ J.R. King and J.M. Oliver

In Mathematical Medicine and Biology. Vol. 30. Pages 241−272. 2013.

Details about Multiple travelling wave solutions in a minimal model for cell motility | BibTeX data for Multiple travelling wave solutions in a minimal model for cell motility | DOI (10.1093/imammb/dqs023)

Heat or mass transfer from a sphere in Stokes flow at low Peclet number

C.G. Bell‚ H.M. Byrne‚ J.P. Whiteley and S.L. Waters

In Applied Mathematics Letters. Vol. 26. Pages 392−396. 2013.

Details about Heat or mass transfer from a sphere in Stokes flow at low Peclet number | BibTeX data for Heat or mass transfer from a sphere in Stokes flow at low Peclet number | DOI (10.1016/j.aml.2012.10.010)

Guide to Scientific Computing in C++

Joe Pitt−Francis and Jonathan Whiteley

Springer. 2012.

Details about Guide to Scientific Computing in C++ | BibTeX data for Guide to Scientific Computing in C++ | DOI (10.1007/978-1-4471-2736-9) | LCCN (2012931858) | Link to Guide to Scientific Computing in C++

Error bounds on block Gauss–Seidel solutions of coupled multiphysics problems

J.P. Whiteley‚ K. Gillow‚ S.J. Tavener and A.C. Walter

In International Journal for Numerical Methods in Engineering. Vol. 88. Pages 1219−1237. 2011.

Details about Error bounds on block Gauss–Seidel solutions of coupled multiphysics problems | BibTeX data for Error bounds on block Gauss–Seidel solutions of coupled multiphysics problems | DOI (10.1002/nme.3217)

The significant effect of the choice of ionic current integration method in cardiac electrophysiological simulations

P. Pathmanathan G.R. Mirams J.A. Southern and J.P. Whiteley

In International Journal for Numerical Methods in Biomedical Engineering. Vol. 27. Pages 1751–1770. 2011.

Details about The significant effect of the choice of ionic current integration method in cardiac electrophysiological simulations | BibTeX data for The significant effect of the choice of ionic current integration method in cardiac electrophysiological simulations | DOI (10.1002/cnm.1438)

The Influence of Bioreactor Geometry and the Mechanical Environment on Engineered Tissues

J. M. Osborne‚ R. D. O'Dea‚ J. P. Whiteley‚ H. M. Byrne and S. L. Waters

In Journal of Biomechanical Engineering. Vol. 132. No. 5. Pages 051006. May, 2010.

Details about The Influence of Bioreactor Geometry and the Mechanical Environment on Engineered Tissues | BibTeX data for The Influence of Bioreactor Geometry and the Mechanical Environment on Engineered Tissues | DOI (10.1115/1.4001160)

A numerical guide to the solution of the bidomain equations of cardiac electrophysiology

Pras Pathmanathan‚ Miguel O Bernabeu‚ Rafel Bordas‚ Jonathan Cooper‚ Alan Garny‚ Joe M Pitt−Francis‚ Jonathan P Whiteley and David J Gavaghan

In Progress in biophysics and molecular biology. Vol. 102. No. 2−3. Pages 136–155. 2010.

Details about A numerical guide to the solution of the bidomain equations of cardiac electrophysiology | BibTeX data for A numerical guide to the solution of the bidomain equations of cardiac electrophysiology | DOI (10.1016/j.pbiomolbio.2010.05.006)

A numerical method for the multiphase viscous flow equations

J.M. Osborne and J.P. Whiteley

In Computer Methods in Applied Mechanics and Engineering. Vol. 199. Pages 3402−3417. 2010.

Details about A numerical method for the multiphase viscous flow equations | BibTeX data for A numerical method for the multiphase viscous flow equations | DOI (10.1016/j.cma.2010.07.011)

Non−local models for the formation of hepatocyte−stellate cell aggregates

J.E.F. Green‚ S.L. Waters‚ J.P. Whiteley‚ L. Edelstein−Keshet‚ K.M. Shakesheff and H.M. Byrne

In Journal of Theoretical Biology. Vol. 267. Pages 106−120. 2010.

Details about Non−local models for the formation of hepatocyte−stellate cell aggregates | BibTeX data for Non−local models for the formation of hepatocyte−stellate cell aggregates | DOI (10.1016/j.jtbi.2010.08.013)

Cardiac electromechanics: the effect of contraction model on the mathematical problem and accuracy of the numerical scheme

P. Pathmanathan‚ S.J. Chapman‚ D.J. Gavaghan and J.P. Whiteley

In Quarterly Journal of Mechanics and Applied Mathematics. Vol. 63. No. 3. Pages 375−399. 2010.

Details about Cardiac electromechanics: the effect of contraction model on the mathematical problem and accuracy of the numerical scheme | BibTeX data for Cardiac electromechanics: the effect of contraction model on the mathematical problem and accuracy of the numerical scheme | DOI (10.1093/qjmam/hbq014)

A posteriori error analysis for the use of lookup tables in cardiac electrophysiology simulations

J. Cooper‚ J.P. Whiteley and D.J. Gavaghan

In SIAM Journal on Scientific Computing. Vol. 32. No. 4. Pages 2167−2189. 2010.

Details about A posteriori error analysis for the use of lookup tables in cardiac electrophysiology simulations | BibTeX data for A posteriori error analysis for the use of lookup tables in cardiac electrophysiology simulations | DOI (10.1137/090773064)

Modeling alveolar volume changes during periodic breathing in heterogeneously ventilated lungs

S.−J. Dunn and J.P. Whiteley

In Annals of Biomedical Engineering. Vol. 38. No. 9. Pages 2988−2999. 2010.

Details about Modeling alveolar volume changes during periodic breathing in heterogeneously ventilated lungs | BibTeX data for Modeling alveolar volume changes during periodic breathing in heterogeneously ventilated lungs | DOI (10.1007/s10439-010-0034-2)

Model reduction using a posteriori analysis

J.P. Whiteley

In Mathematical Biosciences. Vol. 225. Pages 44−52. 2010.

Details about Model reduction using a posteriori analysis | BibTeX data for Model reduction using a posteriori analysis | DOI (10.1016/j.mbs.2010.01.008)

Computational and Numerical Methods for the Accurate and Efficient Solution of the Bidomain Equations

J.P. Whiteley

In Mathematics In Industry. Vol. 15. Pages 377−382. 2010.

Details about Computational and Numerical Methods for the Accurate and Efficient Solution of the Bidomain Equations | BibTeX data for Computational and Numerical Methods for the Accurate and Efficient Solution of the Bidomain Equations | DOI (10.1007/978-3-642-12110-4_57)

A Note on the Effect of the Choice of Weak Form on GMRES Convergence for Incompressible Nonlinear Elasticity Problems

P. Pathmanathan‚ J.P. Whiteley‚ S.J. Chapman and D.J. Gavaghan

In Journal of Applied Mechanics. Vol. 77. Pages 034501. 2010.

Details about A Note on the Effect of the Choice of Weak Form on GMRES Convergence for Incompressible Nonlinear Elasticity Problems | BibTeX data for A Note on the Effect of the Choice of Weak Form on GMRES Convergence for Incompressible Nonlinear Elasticity Problems | DOI (10.1115/1.4000414)

Chaste: Incorporating a Novel Multiscale Spatial and Temporal Algorithm into a Large Scale Open Source Library

M.O. Bernabeu‚ R. Bordas‚ P. Pathmanathan‚ J. Pitt−Francis‚ J. Cooper‚ A. Garny‚ D.J. Gavaghan‚ B. Rodriguez‚ J.A. Southern and J.P. Whiteley

In Phil Trans Roy Soc (A). Vol. 367. No. 1895. Pages 1907−1930. May, 2009.

Details about Chaste: Incorporating a Novel Multiscale Spatial and Temporal Algorithm into a Large Scale Open Source Library | BibTeX data for Chaste: Incorporating a Novel Multiscale Spatial and Temporal Algorithm into a Large Scale Open Source Library | DOI (10.1098/rsta.2008.0309)

Chaste: a test−driven approach to software development for biological modelling

Joe Pitt−Francis‚ Pras Pathmanathan‚ Miguel O Bernabeu‚ Rafel Bordas‚ Jonathan Cooper‚ Alexander G Fletcher‚ Gary R Mirams‚ Philip Murray‚ James M Osborne‚ Alex Walter and others

In Computer Physics Communications. Vol. 180. No. 12. Pages 2452–2471. 2009.

Details about Chaste: a test−driven approach to software development for biological modelling | BibTeX data for Chaste: a test−driven approach to software development for biological modelling | DOI (10.1016/j.cpc.2009.07.019)

Solving the Coupled System Improves Computational Efficiency of the Bidomain Equations

J.A. Southern‚ G. Plank‚ E.J. Vigmond and J.P. Whiteley

In IEEE Transactions on Biomedical Engineering. Vol. 56. No. 10. Pages 2404−2412. 2009.

Details about Solving the Coupled System Improves Computational Efficiency of the Bidomain Equations | BibTeX data for Solving the Coupled System Improves Computational Efficiency of the Bidomain Equations | DOI (10.1109/TBME.2009.2022548)

A Comparison of Numerical Methods used for Finite Element Modelling of Soft Tissue Deformation

P. Pathmanathan‚ D.J. Gavaghan and J.P. Whiteley

In Journal of Strain Analysis. Vol. 44. Pages 391−406. 2009.

Details about A Comparison of Numerical Methods used for Finite Element Modelling of Soft Tissue Deformation | BibTeX data for A Comparison of Numerical Methods used for Finite Element Modelling of Soft Tissue Deformation | DOI (10.1243/03093247JSA482)

Discontinuous Galerkin Finite Element Methods for Incompressible Non−linear Elasticity

J.P. Whiteley

In Computer Methods in Applied Mechanics and Engineering. Vol. 198. Pages 3464−3478. 2009.

Details about Discontinuous Galerkin Finite Element Methods for Incompressible Non−linear Elasticity | BibTeX data for Discontinuous Galerkin Finite Element Methods for Incompressible Non−linear Elasticity | DOI (10.1016/j.cma.2009.07.002)

A Numerical Method for Cardiac Mechanoelectric Simulations

P. Pathmanathan and J.P. Whiteley

In Annals of Biomedical Engineering. Vol. 37(5). Pages 860−873. 2009.

Details about A Numerical Method for Cardiac Mechanoelectric Simulations | BibTeX data for A Numerical Method for Cardiac Mechanoelectric Simulations | DOI (10.1007/s10439-009-9663-8)

An integrative computational model for intestinal tissue renewal

Van Leeuwen‚ Ingeborg MM‚ GR Mirams‚ Alex Walter‚ A Fletcher‚ P Murray‚ J Osborne‚ S Varma‚ SJ Young‚ J Cooper‚ B Doyle and others

In Cell proliferation. Vol. 42. No. 5. Pages 617–636. 2009.

Details about An integrative computational model for intestinal tissue renewal | BibTeX data for An integrative computational model for intestinal tissue renewal | DOI (10.1111/j.1365-2184.2009.00627.x)

An Efficient Technique for the Numerical Solution of the Bidomain equations

J.P. Whiteley

In Annals of Biomedical Engineering. Vol. 36. No. 8. Pages 1398−1408. 2008.

Details about An Efficient Technique for the Numerical Solution of the Bidomain equations | BibTeX data for An Efficient Technique for the Numerical Solution of the Bidomain equations | DOI (10.1007/s10439-008-9513-0)

Chaste: using agile programming techniques to develop computational biology software

Joe Pitt−Francis‚ Miguel O Bernabeu‚ Jonathan Cooper‚ Alan Garny‚ Lee Momtahan‚ James Osborne‚ Pras Pathmanathan‚ Blanca Rodriguez‚ Jonathan P Whiteley and David J Gavaghan

In Philosophical Transactions of the Royal Society A: Mathematical‚ Physical and Engineering Sciences. Vol. 366. No. 1878. Pages 3111–3136. 2008.

Details about Chaste: using agile programming techniques to develop computational biology software | BibTeX data for Chaste: using agile programming techniques to develop computational biology software | DOI (10.1098/rsta.2008.0096)

Predicting tumor location by modeling the deformation of the breast

P. Pathmanathan‚ D.J. Gavaghan‚ J.P. Whiteley‚ S.J. Chapman and J.M. Brady

In IEEE Transactions on Biomedical Engineering. Vol. 55(10). Pages 2471−2480. 2008.

Details about Predicting tumor location by modeling the deformation of the breast | BibTeX data for Predicting tumor location by modeling the deformation of the breast | DOI (10.1109/TBME.2008.925714)

Multi−scale computational modelling in biology and physiology

J.A. Southern‚ J.M. Pitt−Francis‚ J.P. Whiteley‚ D. Stokeley‚ H. Kobashi‚ R. Nobes‚ Y. Kadooka and D.J. Gavaghan

In Progress in Biophysics and Molecular Biology. Vol. 96. Pages 60−89. 2008.

Details about Multi−scale computational modelling in biology and physiology | BibTeX data for Multi−scale computational modelling in biology and physiology | DOI (10.1016/j.pbiomolbio.2007.07.019)

Non–linear modelling of breast tissue

J.P. Whiteley‚ D.J. Gavaghan‚ S.J. Chapman and J.M. Brady

In Mathematical Medicine and Biology. Vol. 24. Pages 327–345. 2007.

Details about Non–linear modelling of breast tissue | BibTeX data for Non–linear modelling of breast tissue | DOI (10.1093/imammb/dqm006)

Soft tissue modelling of cardiac fibres for use in coupled mechano–electric simulations

J.P. Whiteley‚ M.J. Bishop and D.J. Gavaghan

In Bulletin of Mathematical Biology. Vol. 69. Pages 2199–2225. 2007.

Details about Soft tissue modelling of cardiac fibres for use in coupled mechano–electric simulations | BibTeX data for Soft tissue modelling of cardiac fibres for use in coupled mechano–electric simulations | DOI (10.1007/s11538-007-9213-1)

Physiology driven adaptivity for the numerical solution of the bidomain equations

J.P. Whiteley

In Annals of Biomedical Engineering. Vol. 35. Pages 1510–1520. 2007.

Details about Physiology driven adaptivity for the numerical solution of the bidomain equations | BibTeX data for Physiology driven adaptivity for the numerical solution of the bidomain equations | DOI (10.1007/s10439-007-9337-3)

Synchronization between arterial blood pressure and cerebral oxyhaemoglobin concentration investigated by wavelet cross–correlation

A.B. Rowley‚ S.J. Payne‚ I. Tachtsidis‚ M.J. Ebden‚ J.P. Whiteley‚ D.J. Gavaghan‚ L. Tarassenko‚ M. Smith‚ C.E. Elwell and D.T. Delpy

In Physiological Measurement. Vol. 28. Pages 161–173. 2007.

Details about Synchronization between arterial blood pressure and cerebral oxyhaemoglobin concentration investigated by wavelet cross–correlation | BibTeX data for Synchronization between arterial blood pressure and cerebral oxyhaemoglobin concentration investigated by wavelet cross–correlation | DOI (10.1088/0967-3334/28/2/005)

An efficient numerical technique for the solution of the monodomain and bidomain equations

J.P. Whiteley

In IEEE Transactions on Biomedical Engineering. Vol. 53. Pages 2139–2147. 2006.

Details about An efficient numerical technique for the solution of the monodomain and bidomain equations | BibTeX data for An efficient numerical technique for the solution of the monodomain and bidomain equations | DOI (10.1109/TBME.2006.879425)

Some factors affecting pulmonary oxygen transport

J.P. Whiteley

In Mathematical Biosciences. Vol. 202. Pages 115–132. 2006.

Details about Some factors affecting pulmonary oxygen transport | BibTeX data for Some factors affecting pulmonary oxygen transport | DOI (10.1016/j.mbs.2006.03.014)

Synthesis of voltage–sensitive optical signals: application to panoramic optical mapping

M.J. Bishop‚ B. Rodriguez‚ J. Eason‚ J.P. Whiteley‚ N.A. Trayanova and D.J. Gavaghan

In Biophysical Journal. Vol. 90. Pages 2938–2945. 2006.

Details about Synthesis of voltage–sensitive optical signals: application to panoramic optical mapping | BibTeX data for Synthesis of voltage–sensitive optical signals: application to panoramic optical mapping | DOI (10.1529/biophysj.105.076505)

Oxygen transport to muscle tissue where regions of low oxygen tension exist

J.P. Whiteley‚ D.J. Gavaghan and C.E.W. Hahn

In Mathematical and Computer Modelling. Vol. 42. Pages 1113–1122. 2005.

Details about Oxygen transport to muscle tissue where regions of low oxygen tension exist | BibTeX data for Oxygen transport to muscle tissue where regions of low oxygen tension exist | DOI (10.1016/j.mcm.2004.09.009)

The solution of inverse non–linear elasticity problems that arise when locating breast tumours

J.P. Whiteley

In Journal of Theoretical Medicine. Vol. 6. Pages 143–149. 2005.

Details about The solution of inverse non–linear elasticity problems that arise when locating breast tumours | BibTeX data for The solution of inverse non–linear elasticity problems that arise when locating breast tumours | DOI (10.1080/10273660500148606)

Predicting tumour location by simulating large deformations of the breast using a 3D finite element model and nonlinear elasticity

P. Pathmanathan‚ D.J. Gavaghan‚ J.P. Whiteley‚ J.M. Brady‚ M.P. Nash‚ P.F. Nielsen and V. Rajagopal

In Proceedings of MICCAI 2004. Vol. 3217 of Lecture Notes in Computer Science. Pages 217–224. 2004.

Details about Predicting tumour location by simulating large deformations of the breast using a 3D finite element model and nonlinear elasticity | BibTeX data for Predicting tumour location by simulating large deformations of the breast using a 3D finite element model and nonlinear elasticity

Periodic breathing induced by arterial oxygen partial pressure oscillations

J.P. Whiteley‚ D.J. Gavaghan and C.E.W. Hahn

In Mathematical Medicine and Biology. Vol. 20. Pages 205–224. 2003.

Details about Periodic breathing induced by arterial oxygen partial pressure oscillations | BibTeX data for Periodic breathing induced by arterial oxygen partial pressure oscillations

Mathematical modelling of pulmonary gas transport

J.P. Whiteley‚ D.J. Gavaghan and C.E.W. Hahn

In Journal of Mathematical Biology. Vol. 47. Pages 79–99. 2003.

Details about Mathematical modelling of pulmonary gas transport | BibTeX data for Mathematical modelling of pulmonary gas transport | DOI (10.1007/s00285-003-0196-8)

The effect of diffusion in the respiratory tree on the alveolar amplitude response technique (AART)

J.P. Whiteley‚ D.J. Gavaghan and C.E.W. Hahn

In Respiratory Physiology & Neurobiology. Vol. 137. Pages 81–96. 2003.

Details about The effect of diffusion in the respiratory tree on the alveolar amplitude response technique (AART) | BibTeX data for The effect of diffusion in the respiratory tree on the alveolar amplitude response technique (AART) | DOI (10.1016/S1569-9048(03)00124-1)

Efficient computations of gas transport in the respiratory tree

J.P. Whiteley and D.J. Gavaghan

In Mathematical Medicine and Biology. Vol. 20. Pages 91–104. 2003.

Details about Efficient computations of gas transport in the respiratory tree | BibTeX data for Efficient computations of gas transport in the respiratory tree

A tidal ventilation model for oxygenation in respiratory failure

J.P. Whiteley‚ A.D. Farmery‚ D.J. Gavaghan and C.E.W. Hahn

In Respiratory Physiology & Neurobiology. Vol. 136. Pages 77–88. 2003.

Details about A tidal ventilation model for oxygenation in respiratory failure | BibTeX data for A tidal ventilation model for oxygenation in respiratory failure | DOI (10.1016/S1569-9048(03)00066-1)

The effects of ventilation pattern on carbon dioxide transfer in three computer models of the airways

J.P. Whiteley‚ M.J. Turner‚ A.B. Baker‚ D.J. Gavaghan and C.E.W. Hahn

In Respiratory Physiology & Neurobiology. Vol. 131. Pages 269–284. 2002.

Details about The effects of ventilation pattern on carbon dioxide transfer in three computer models of the airways | BibTeX data for The effects of ventilation pattern on carbon dioxide transfer in three computer models of the airways

Mathematical modelling of oxygen transport to tissue

J.P. Whiteley‚ D.J. Gavaghan and C.E.W. Hahn

In Journal of Mathematical Biology. Vol. 44. Pages 503–522. 2002.

Details about Mathematical modelling of oxygen transport to tissue | BibTeX data for Mathematical modelling of oxygen transport to tissue | DOI (10.1007/s002850200135)

Variation of venous admixture‚ SF₆ shunt‚ Pa_O2‚ and the Pa_O2/FI_O2 ratio with FI_O2

J.P. Whiteley‚ D.J. Gavaghan and C.E.W. Hahn

In British Journal of Anaesthesia. Vol. 88. Pages 771–778. 2002.

Details about Variation of venous admixture‚ SF₆ shunt‚ Pa_O2‚ and the Pa_O2/FI_O2 ratio with FI_O2 | BibTeX data for Variation of venous admixture‚ SF₆ shunt‚ Pa_O2‚ and the Pa_O2/FI_O2 ratio with FI_O2

Some factors affecting oxygen uptake by red blood cells in the pulmonary capillaries

J.P. Whiteley‚ D.J. Gavaghan and C.E.W. Hahn

In Mathematical Biosciences. Vol. 169. Pages 153–172. 2001.

Details about Some factors affecting oxygen uptake by red blood cells in the pulmonary capillaries | BibTeX data for Some factors affecting oxygen uptake by red blood cells in the pulmonary capillaries

Modelling inert gas exchange in tissue and mixed–venous blood return to the lungs

J.P. Whiteley‚ D.J. Gavaghan and C.E.W. Hahn

In Journal of Theoretical Biology. Vol. 209. Pages 431–443. 2001.

Details about Modelling inert gas exchange in tissue and mixed–venous blood return to the lungs | BibTeX data for Modelling inert gas exchange in tissue and mixed–venous blood return to the lungs | DOI (10.1006/jtbi.2001.2278)

A mathematical model of electron transfer within the mitochondrial respiratory cytochromes

A.D. Farmery and J.P. Whiteley

In Journal of Theoretical Biology. Vol. 213. Pages 197–207. 2001.

Details about A mathematical model of electron transfer within the mitochondrial respiratory cytochromes | BibTeX data for A mathematical model of electron transfer within the mitochondrial respiratory cytochromes | DOI (10.1006/jtbi.2001.2411)

A tidal breathing model of the inert gas sinewave technique for inhomogeneous lungs

J.P. Whiteley‚ D.J. Gavaghan and C.E.W. Hahn

In Respiration Physiology. Vol. 124. Pages 65–83. 2000.

Details about A tidal breathing model of the inert gas sinewave technique for inhomogeneous lungs | BibTeX data for A tidal breathing model of the inert gas sinewave technique for inhomogeneous lungs

The effect of inspired oxygen concentration on the ventilation–perfusion distribution in inhomogeneous lungs

J.P. Whiteley‚ D.J. Gavaghan and C.E.W. Hahn

In Journal of Theoretical Biology. Vol. 204. Pages 575–585. 2000.

Details about The effect of inspired oxygen concentration on the ventilation–perfusion distribution in inhomogeneous lungs | BibTeX data for The effect of inspired oxygen concentration on the ventilation–perfusion distribution in inhomogeneous lungs | DOI (10.1006/jtbi.2000.2036)

Discovering the structure of partial differential equations from example behavior

L. Todorovski‚ S. Dzeroski‚ A. Srinivasan‚ J.P. Whiteley and D.J. Gavaghan

In Proceedings of the International Conference on Machine Learning‚ Stanford‚ USA. Pages 991–998. 2000.

Details about Discovering the structure of partial differential equations from example behavior | BibTeX data for Discovering the structure of partial differential equations from example behavior

The effect of the width of the ventilation–perfusion distribution on arterial blood oxygen content

J.P. Whiteley‚ D.J. Gavaghan and C.E.W. Hahn

In Journal of Theoretical Biology. Vol. 201. Pages 271–279. 1999.

Details about The effect of the width of the ventilation–perfusion distribution on arterial blood oxygen content | BibTeX data for The effect of the width of the ventilation–perfusion distribution on arterial blood oxygen content

A tidal breathing model for the multiple inert gas elimination technique

J.P. Whiteley‚ D.J. Gavaghan and C.E.W. Hahn

In Journal of Applied Physiology. Vol. 87. Pages 161–169. 1999.

Details about A tidal breathing model for the multiple inert gas elimination technique | BibTeX data for A tidal breathing model for the multiple inert gas elimination technique

Pulmonary blood flow measured by inspiratory inert gas concentration forcing oscillations

E.M. Williams‚ M.C. Sainsbury‚ L. Sutton‚ L. Xiong‚ A.M.S. Black‚ J.P. Whiteley‚ D.J. Gavaghan and C.E.W. Hahn

In Respiration Physiology. Vol. 113. Pages 47–56. 1998.

Details about Pulmonary blood flow measured by inspiratory inert gas concentration forcing oscillations | BibTeX data for Pulmonary blood flow measured by inspiratory inert gas concentration forcing oscillations

A mathematical evaluation of the multiple breath nitrogen washout (MBNW) technique and the multiple inert gas elimination technique (MIGET)

J.P. Whiteley‚ D.J. Gavaghan and C.E.W. Hahn

In Journal of Theoretical Biology. Vol. 194. Pages 517–539. 1998.

Details about A mathematical evaluation of the multiple breath nitrogen washout (MBNW) technique and the multiple inert gas elimination technique (MIGET) | BibTeX data for A mathematical evaluation of the multiple breath nitrogen washout (MBNW) technique and the multiple inert gas elimination technique (MIGET)