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Variability in cardiac electrophysiology: Using experimentally-calibrated populations of models to move beyond the single virtual physiological human paradigm.

Muszkiewicz A, Britton OJ, Gemmell P, Passini E, Sánchez C, Zhou X, Carusi A, Quinn TA, Burrage K, Bueno-Orovio A, Rodriguez B.

Prog Biophys Mol Biol. 2015 Dec 14. pii: S0079-6107(15)00242-4. doi: 10.1016/j.pbiomolbio.2015.12.002. [Epub ahead of print]


On the Order of the Fractional Laplacian in Determining the Spatio-Temporal Evolution of a Space-Fractional Model of Cardiac Electrophysiology.

Cusimano N, Bueno-Orovio A, Turner I, Burrage K.

PLoS One. 2015 Dec 2;10(12):e0143938. doi: 10.1371/journal.pone.0143938. eCollection 2015.


In Vivo and In Silico Investigation Into Mechanisms of Frequency Dependence of Repolarization Alternans in Human Ventricular Cardiomyocytes.

Zhou X, Bueno-Orovio A, Orini M, Hanson B, Hayward M, Taggart P, Lambiase PD, Burrage K, Rodriguez B.

Circ Res. 2016 Jan 22;118(2):266-78. doi: 10.1161/CIRCRESAHA.115.307836. Epub 2015 Nov 24.


Stochastic linear multistep methods for the simulation of chemical kinetics.

Barrio M, Burrage K, Burrage P.

J Chem Phys. 2015 Feb 14;142(6):064101. doi: 10.1063/1.4907008.


Multi-scale approach for simulating time-delay biochemical reaction systems.

Niu Y, Burrage K, Zhang C.

IET Syst Biol. 2015 Feb;9(1):31-8. doi: 10.1049/iet-syb.2013.0023.


Stochastic simulation in systems biology.

Székely T Jr, Burrage K.

Comput Struct Biotechnol J. 2014 Oct 30;12(20-21):14-25. doi: 10.1016/j.csbj.2014.10.003. eCollection 2014 Nov. Review.


Application of stochastic phenomenological modelling to cell-to-cell and beat-to-beat electrophysiological variability in cardiac tissue.

Walmsley J, Mirams GR, Pitt-Francis J, Rodriguez B, Burrage K.

J Theor Biol. 2015 Jan 21;365:325-36. doi: 10.1016/j.jtbi.2014.10.029. Epub 2014 Nov 4.


Stochastic dynamics of interacting haematopoietic stem cell niche lineages.

Székely T Jr, Burrage K, Mangel M, Bonsall MB.

PLoS Comput Biol. 2014 Sep 4;10(9):e1003794. doi: 10.1371/journal.pcbi.1003794. eCollection 2014 Sep.


Efficient simulation of stochastic chemical kinetics with the Stochastic Bulirsch-Stoer extrapolation method.

Székely T Jr, Burrage K, Zygalakis KC, Barrio M.

BMC Syst Biol. 2014 Jun 18;8:71. doi: 10.1186/1752-0509-8-71.


Fractional diffusion models of cardiac electrical propagation: role of structural heterogeneity in dispersion of repolarization.

Bueno-Orovio A, Kay D, Grau V, Rodriguez B, Burrage K.

J R Soc Interface. 2014 Aug 6;11(97):20140352. doi: 10.1098/rsif.2014.0352.


Post-transcriptional regulation in the nucleus and cytoplasm: study of mean time to threshold (MTT) and narrow escape problem.

Holcman D, Dao Duc K, Jones A, Byrne H, Burrage K.

J Math Biol. 2015 Mar;70(4):805-28. doi: 10.1007/s00285-014-0782-y. Epub 2014 Apr 8.


Quantitative study of the effect of tissue microstructure on contraction in a computational model of rat left ventricle.

Carapella V, Bordas R, Pathmanathan P, Lohezic M, Schneider JE, Kohl P, Burrage K, Grau V.

PLoS One. 2014 Apr 2;9(4):e92792. doi: 10.1371/journal.pone.0092792. eCollection 2014.


Population of computational rabbit-specific ventricular action potential models for investigating sources of variability in cellular repolarisation.

Gemmell P, Burrage K, Rodriguez B, Quinn TA.

PLoS One. 2014 Feb 28;9(2):e90112. doi: 10.1371/journal.pone.0090112. eCollection 2014.


Studying the role of lipid rafts on protein receptor bindings with cellular automata.

Haack F, Burrage K, Redmer R, Uhrmacher AM.

IEEE/ACM Trans Comput Biol Bioinform. 2013 May-Jun;10(3):760-70. doi: 10.1109/TCBB.2013.40.


Stability and convergence of an implicit numerical method for the space and time fractional Bloch-Torrey equation.

Yu Q, Liu F, Turner I, Burrage K.

Philos Trans A Math Phys Eng Sci. 2013 Apr 1;371(1990):20120150. doi: 10.1098/rsta.2012.0150. Print 2013 May 13.


mRNA expression levels in failing human hearts predict cellular electrophysiological remodeling: a population-based simulation study.

Walmsley J, Rodriguez JF, Mirams GR, Burrage K, Efimov IR, Rodriguez B.

PLoS One. 2013;8(2):e56359. doi: 10.1371/journal.pone.0056359. Epub 2013 Feb 20.


Inferring diffusion in single live cells at the single-molecule level.

Robson A, Burrage K, Leake MC.

Philos Trans R Soc Lond B Biol Sci. 2012 Dec 24;368(1611):20120029. doi: 10.1098/rstb.2012.0029. Print 2013 Feb 5. Review.


A higher-order numerical framework for stochastic simulation of chemical reaction systems.

Székely T Jr, Burrage K, Erban R, Zygalakis KC.

BMC Syst Biol. 2012 Jul 15;6:85. doi: 10.1186/1752-0509-6-85.


Anomalous diffusion and multifractional Brownian motion: simulating molecular crowding and physical obstacles in systems biology.

Marquez-Lago TT, Leier A, Burrage K.

IET Syst Biol. 2012 Aug;6(4):134-42. doi: 10.1049/iet-syb.2011.0049.


Modeling ion channel dynamics through reflected stochastic differential equations.

Dangerfield CE, Kay D, Burrage K.

Phys Rev E Stat Nonlin Soft Matter Phys. 2012 May;85(5 Pt 1):051907. Epub 2012 May 15.

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