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Prof Grant D Lythe

Professor in Applied Mathematics
Applied Mathematics

Contact details

Room: Satellite 10.11
Tel: +44 (0)113 3435132
Email: G.D.Lythe @ leeds.ac.uk

Research interests

http://www1.maths.leeds.ac.uk/~grant

Useful links

Marie Curie Initial Training Network: Quantitative T cell immunology
IndoEuropean Maths for health and disease

Current postgraduate students

Luis De La Higuera Romero (2013)
Marco Ferrarini (2014)
Maria Nowicka (2012)
Remus Stana (2015)

Publications

Chu HH, Chan SW, Gosling JP, Blanchard N, Tsitsiklis A, Lythe G, Shastri N, Molina-París C, Robey EA Continuous Effector CD8+T Cell Production in a Controlled Persistent Infection Is Sustained by a Proliferative Intermediate Population Immunity, 45, 159-171, 2016
DOI:10.1016/j.immuni.2016.06.013
View abstract

Donavan GM, Lythe GD T cell and reticular network co-dependence in HIV infection Journal of Theoretical Biology, 395, 211-220, 2016
DOI:10.1016/j.jtbi.2016.01.040
View abstract

Castro M, Lythe G, Molina-París C, Ribeiro RM Mathematics in modern immunology Interface Focus, 6, 14, 2016
DOI:10.1098/rsfs.2015.0093
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Lythe G, Callard RE, Hoare RL, Molina-París C How many TCR clonotypes does a body maintain? Journal of Theoretical Biology, 389, 214-224, 2016
DOI:10.1016/j.jtbi.2015.10.016
View abstract

Pham K, Shimoni R, Charnley M, Ludford-Menting MJ, Hawkins ED, Ramsbottom K, Oliaro J, Izon D, Ting SB, Reynolds J, Lythe G, Molina-Paris C, Melichar H, Robey E, Humbert PO, Gu M, Russell SM Asymmetric cell division during T cell development controls downstream fate Journal of Cell Biology, 210, 933-950, 2015
DOI:10.1083/jcb.201502053
View abstract

Burrage K, Lythe G Accurate stationary densities with partitioned numerical methods for stochastic partial differential equations Stochastic Partial Differential Equations: Analysis and Computations, 2, 262-280, 2014
DOI:10.1007/s40072-014-0032-8
View abstract

Reynolds J, Amado IF, Freitas AA, Lythe G, Molina-París C A mathematical perspective on CD4+T cell quorum-sensing Journal of Theoretical Biology, 347, 160-175, 2014
DOI:10.1016/j.jtbi.2013.12.019
View abstract

Sawicka M, Stritesky GL, Reynolds J, Abourashchi N, Lythe G, Molina-París C, Hogquist KA From pre-DP, post-DP, SP4, and SP8 thymocyte cell counts to a dynamical model of cortical and medullary selection Frontiers in Immunology, 5, 2014
DOI:10.3389/fimmu.2014.00019
View abstract

Castro M, van Santen HM, Férez M, Alarcón B, Lythe G, Molina-París C Receptor pre-clustering and T cell responses: Insights into molecular mechanisms Frontiers in Immunology, 5, 2014
DOI:10.3389/fimmu.2014.00132
View abstract

Gillard J, Laws TR, Lythe G, Molina-París C Modelling early events in Francisella tularensis pathogenesis Frontiers in Cellular and Infection Microbiology, 4, 2014
DOI:10.3389/fcimb.2014.00169
View abstract

Reynolds J, Coles M, Lythe G, Molina-París C Mathematical model of naive T cell division and survival IL-7 thresholds Frontiers in Immunology, 4, 2013
DOI:10.3389/fimmu.2013.00434
View abstract

Celli S, Day M, Müller AJ, Molina-Paris C, Lythe G, Bousso P How many dendritic cells are required to initiate a T-cell response? Blood, 120, 3945-3948, 2012
DOI:10.1182/blood-2012-01-408260
View abstract

Celli S, Day M, Muller AJ, Molina-Paris C, Lythe GD, Bousso P How many dendritic cells are required to initiate a T cell response Blood, 2012

Alemeida ARM, Amado IF, Reynolds J, Berges J, Lythe G, Molina-Paris C, Freitas AA Quorum-Sensing in CD4+ T Cell Homeostasis: A Hypothesis and a Model Frontiers in Immunology, 3, 2012
DOI:10.3389/fimmu.2012.00125
View abstract

Reynolds J, Coles M, Lythe G, Molina-Pars C Deterministic and stochastic naive T cell population dynamics: Symmetric and asymmetric cell division Dynamical Systems, 27, 75-103, 2012
DOI:10.1080/14689367.2011.645447
View abstract

Donovan GM, Lythe GD T-cell movement on the reticular network Journal of Theoretical Biology, 295, 59-67, 2012
DOI:10.1016/j.jtbi.2011.11.001
View abstract

Molina Paris C ed. Mathematical Models and Immune Cell Biology 2011
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Stirk ER, Lythe G, van den Berg HA, Molina-París C Stochastic competitive exclusion in the maintenance of the naïve T cell repertoire. J Theor Biol, 265, 396-410, 2010
DOI:10.1016/j.jtbi.2010.05.004
View abstract

Stirk ER, Lythe G, van den Berg HA, Hurst GAD, Molina-París C The limiting conditional probability distribution in a stochastic model of T cell repertoire maintenance Mathematical Biosciences, 224, 74-86, 2010
DOI:10.1016/j.mbs.2009.12.004
View abstract

Stirk ER, Lythe G, van den Berg HA, Hurst GAD, Molina-París C The limiting conditional probability distribution in a stochastic model of T cell repertoire maintenance Mathematical biosciences, 224, 74-86, 2010

Burrage K, Lythe G Accurate stationary densities with partitioned numerical methods for stochastic differential equations SIAM Journal on Numerical Analysis, 47, 1601-1601, 2009

Castro M, Lythe G Numerical Experiments on Noisy Chains: From Collective Transitions to Nucleation-Diffusion SIAM Journal on Applied Dynamical Systems, 7, 207-219-207-219, 2008
DOI:10.1137/070695514

Castro M, Lythe G Numerical Experiments on Noisy Chains: From Collective Transitions to Nucleation-Diffusion SIAM Journal on Applied Dynamical Systems, 7, 207-219-207-219, 2008
DOI:10.1137/070695514

Burrage K, Lenane I, Lythe G Numerical Methods for Second-Order Stochastic Differential Equations SIAM Journal on Scientific Computing, 29, 245-264-245-264, 2007
DOI:10.1137/050646032

Burrage K, Lenane I, Lythe G Numerical Methods for Second-Order Stochastic Differential Equations SIAM Journal on Scientific Computing, 29, 245-264-245-264, 2007
DOI:10.1137/050646032

Lythe GD, Habib S Kink stochastics Computing in Science&Engineering, 8, 10-15, 2006
DOI:10.1109/MCSE.2006.43
View abstract

Lythe G Diffusion-limited reaction in one dimension Physica D, 222, 159-163, 2006
DOI:10.1016/j.physd.2006.07.030

Camassa R, Findikoglu A, Lythe GD Transmission, Reflection, and Second-Harmonic Generation in a Nonlinear Waveguide SIAM Journal on Applied Mathematics, 66, 1-28, 2005
DOI:10.1137/040615183
View abstract

Jansons KM, Lythe GD Multidimensional exponential timestepping with boundary test SIAM J SCI COMPUT, 27, 793-808, 2005

Lythe GD, Mertens F Rice's ansatz for overdamped kinksat finite temperature Physical Review E (Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics), 67, pp.027601, 2003
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Lythe G, Mertens FG Rice's ansatz for overdampedφ4kinks at finite temperature Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 67, 276011, 2003
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Lythe GD Exponential timesepping for stochastic differential equations SIAM Journal on Scientific Computing, 24, 2003

Lythe G; Habib S Kinks in a Stochastic PDEIUTAM symposium on nonlinear stochastic dynamics, 435-444 2003

Lythe G, Mertens F Rice’s ansatz for overdamped $φ^4$ kinks at finite temperature Physical Review E, 67, 027601-4-027601-4, 2003

Jansons KM, Lythe GD Exponential timestepping with boundary test for stochastic differential equations SIAM J SCI COMPUT, 24, 1809-1822, 2003

Finkikoglu A, Camassa R, Lythe GD, Jia QX Dielectric nonlinearity and stochastic effects in strontium titanate Applied Physics Letters, 80, 3391-3393, 2002
DOI:10.1063/1.1477278

Lythe G Defect formation in a dynamic transition International Journal of Theoretical Physics, 40, 2309-2316, 2001
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Habib S, Lindenberg K, Lythe GD, Molina-Paris C Diffusion-limited reaction in one dimension: Paired and unpaired nucleation Journal of Chemical Physics, 115, 73-89, 2001
DOI:10.1063/1.1372763

Lythe G Stochastic PDEs: convergence to the continuum? J. Comp. Phys., 2001

Habib S, Lindenberg K, Lythe G, Carmen M-PS Diffusion-limited reaction in one dimension:paired and unpaired nucleation J. Chem. Phys., 115, 73-89-73-89, 2001

Lythe G, Habib S Stochastic PDEs: convergence to the continuum? Computer Physics Communications, 142, 29-35, 2001

Jansons KM, Lythe GD Efficient numerical solution of stochastic differential equations using exponential timestepping Journal of Statistical Physics, 100, 1097-1109, 2000
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Habib S, Lythe GD Dynamics of Kinks: Nucleation, Diffusion and Annihilation Physical Review Letters, 84, 1070-1073, 2000
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Jansons KM, Lythe GD Efficient Numerical Solution of Stochastic Differential Equations Using Exponential Timestepping Journal of Statistical Physics, 100, 1097-1109, 2000
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Habib S, Lythe G Dynamics of kinks: nucleation, diffusion and annihilation Physical Review Letters, 84, 1070-1073-1070-1073, 2000

Bettencourt LMA, Habib S, Lythe G Controlling one-dimensional Langevin dynamics on the lattice Physical Review D - Particles, Fields, Gravitation and Cosmology, 60, 1-9, 1999
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Bettencourt L, Habib S, Lythe G Controlling one-dimensional Langevin dynamics on the lattice Physical Review D, 60, 105039-47-105039-47, 1999

Moro E, Lythe G Dynamics of defect formation Physical Review E, 59, R1303-6, 1999

Lythe G, Proctor MRE Predictabilty of noise-controlled dynamics Physica D, 133, 362---362--, 1999

Findikoglu AT, Jia QX, Reagor DW, Fan Y, Lythe GD, Camassa RA, Cai D, Gronbech-Jensen N, Bishop AR New potential applications of nonlinear dielectrics: Microwave solitons and stochastic resonance Integrated Ferroelectrics, 22, 259-268, 1998
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Jansons KM, Lythe GD Stochastic Stokes Drift Physical Review Letters, 81, 3136-3139, 1998
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Jansons KM, Lythe GD Stochastic calculus: dynamic bifurcations and threshold crossings J. Stat. Phys., 90, 227-251, 1998

Celet JC, Dangoisse D, Glorieux P, Lythe G, Erneux T Slowly passing through resonance strongly depends on noise Physical Review Letters, 81, 975-978, 1998

Lythe G; Erneux T; Gavrielides A; Kovanis V Quasi-periodicity in semiconductor lasersProceedings of SPIE - The International Society for Optical Engineering, 624-635 1997
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Gavrielides A, Kovanis V, Varangis PM, Erneux T, Lythe G Coexisting periodic attractors in injection-locked diode lasers Journal of Optics B: Quantum and Semiclassical Optics, 9, 785-796, 1997
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Lythe G, Erneux T, Gavrielides A, Kovanis V Low pump limit of the bifurcation to periodic intensities in a semiconductor laser subject to external optical feedback Physical Review A, 55, 4443-4448-4443-4448, 1997

Lythe GD Domain formation in transitions with noise and a time-dependent bifurcation parameter Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 53, 1996
View abstract

Lythe GD Domain Formation in Transitions with Noise and a Time-dependent Bifurcation Parameter Physical Review A, 53, 4271-4274, 1996
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Lythe G Domain formation in dynamic transitions with noise Physical Review E, 53, R4271-4274, 1996

Celet JC; Dangoisse O; Glorieux P; Lythe G; Erneux T Slow passage through resonance in a periodically modulated laserTechnical Digest - European Quantum Electronics Conference, 31 1996
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Gavrielides A; Kovanis V; Lythe G; Erneux T Quasiperiodic intensity oscillations in a laser subject to optical feedbackTechnical Digest - European Quantum Electronics Conference, 166 1996
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Lythe GD Dynamics controlled by additive noise Il Nuovo Cimento D, 17, 855-861, 1995
DOI:10.1007/BF02451843
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PROCTOR MRE; LYTHE GD Noise and Resonant Mode InteractionsAnnals of the New York Academy of Sciences, 42-53 1993
DOI:10.1111/j.1749-6632.1993.tb24680.x

Noise and slow-fast dynamics in a three-wave resonance problem Physical Review E, 47, 3122-3127, 1993

WH A, IA B, BUDDING E, MJ C, DANIEL A, KB F, FUJII H, FUJII Z, HAYASHIDA N, HIBINO K, HONDA M, JE H, KABE S, KASAHARA K, KIFUNE T, GD L, MASAIKE A, MATSUBARA Y, MITSUI K, MIURA Y, MORI M, MURAKI Y, NAGANO M, NAKAMURA T, NISHIZAWA M, PM M, OGIO S, SAITO T, SAKATA M, SATO H, HM S, SPENCER M, JR S, TANIMORI T, TESHIMA M, TORII S, WADSWORTH A, WATASE Y, MD W, YAMAMOTO Y, PCM Y, YUDA T SEARCH FOR POINT SOURCES OF ULTRAHIGH-ENERGY GAMMA-RAYS IN THE SOUTHERN SKY Physica D, 48, 466-478, 1993

WH A, IA B, BUDDING E, MJ C, DANIEL A, KB F, FUJII H, FUJII Z, HAYASHIDA N, HIBINO K, HONDA M, JE H, KABE S, KASAHARA K, KIFUNE T, GD L, MASAIKE A, MATSUBARA Y, MITSUI K, MIURA Y, MORI M, MURAKI Y, NAGANO M, NAKAMURA T, NISHIZAWA M, PM M, OGIO S, SAITO T, SAKATA M, SATO H, HM S, SPENCER M, JR S, TANIMORI T, TESHIMA M, TORII S, WADSWORTH A, WATASE Y, MD W, YAMAMOTO Y, PCM Y, YUDA T SEARCH FOR POINT SOURCES OF ULTRAHIGH-ENERGY GAMMA-RAYS IN THE SOUTHERN SKY Astrophysical Journal, 344, L14-L17-L14-L17, 1989

Lythe GD A stochastic T cell response criterion Journal of the Royal Society Interface

Lythe G Stochastic slow-fast dynamics