Contact

• workRoom C47 The Mathematical Sciences Building
  University Park
  Nottingham
  NG7 2RD
  UK
• work0115 8467913
• fax0115 9513837
• ruediger.thul@nottingham.ac.uk
• https://www.maths.nottingham.ac.uk/plp/pmzrt/homepage/

Recent Publications

• COOMBES, S, LAI, Y M, CSAYLI, M and THUL, R, 2018. Networks of piecewise linear neural mass models European Journal of Applied Mathematics. 9, 1-22
• MARTIN FALCKE, MAHSA MOEIN, AGNE TILUNAITE, RUEDIGER THUL and ALEXANDE SKUPIN, 2018. On the phase space structure of IP3 induced Ca2+ signalling and concepts for predictive modeling Chaos. (In Press.)
• BRAUN W and THUL R, 2017. Sign changes as a universal concept in first-passage-time calculations. Physical review. E. 95(1-1), 012114
• BRAUN, WILHELM, THUL, RÜDIGER and LONGTIN, ANDRÉ, 2017. Evolution of moments and correlations in nonrenewal escape-time processes. Physical Review E. 95(5-1), 052127

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• COOMBES, S, LAI, Y M, CSAYLI, M and THUL, R, 2018. Networks of piecewise linear neural mass models European Journal of Applied Mathematics. 9, 1-22
• MARTIN FALCKE, MAHSA MOEIN, AGNE TILUNAITE, RUEDIGER THUL and ALEXANDE SKUPIN, 2018. On the phase space structure of IP3 induced Ca2+ signalling and concepts for predictive modeling Chaos. (In Press.)
• BRAUN W and THUL R, 2017. Sign changes as a universal concept in first-passage-time calculations. Physical review. E. 95(1-1), 012114
• TILŪNAITĖ A, CROFT W, RUSSELL N, BELLAMY TC and THUL R, 2017. A Bayesian approach to modelling heterogeneous calcium responses in cell populations. PLoS computational biology. 13(10), e1005794
• BRAUN, WILHELM, THUL, RÜDIGER and LONGTIN, ANDRÉ, 2017. Evolution of moments and correlations in nonrenewal escape-time processes. Physical Review E. 95(5-1), 052127
• STEPHEN COOMBES and RÜDIGER THUL, 2016. Synchrony in networks of coupled nonsmooth dynamical systems: Extending the master stability function European Journal of Applied Mathematics. (In Press.)
• THUL, RÜDIGER, COOMBES, STEPHEN and LAING, CARLO R, 2016. Neural Field Models with Threshold Noise The Journal of Mathematical Neuroscience. 6(1), 1
• CROFT, WAYNE, REUSCH, KATHARINA, TILUNAITE, AGNE, RUSSEL, NOAH, THUL, RÜDIGER and BELLAMY, TOMAS C., 2016. Probabilistic encoding of stimulus strength in astrocyte global calcium signals Glia. 64(4), 537–552
• THUL, R, RIETDORF, K, BOOTMAN, M D and COOMBES, S, 2015. Unifying principles of calcium wave propagation - Insights from a three-dimensional model for atrial myocytes. Biochimica et Biophysica Acta. 1853(9), 2131-2143
• BRAUN, WILHELM, MATTHEWS, PAUL C and THUL, RÜDIGER, 2015. First-passage times in integrate-and-fire neurons with stochastic thresholds. Physical Review E. 91(5), 052701
• BARRACK, D.S., THUL, R. and OWEN, M.R., 2015. Modelling cell cycle synchronisation in networks of coupled radial glial cells Journal of Theoretical Biology. 377, 85-97
• BARRACK, D.S., THUL, R. and OWEN, M.R., 2014. Modelling the coupling between intracellular calcium release and the cell cycle during cortical brain development Journal of Theoretical Biology. 347, 17–32
• ZACHARIOU, MARGARITA and THUL, RUEDIGER, 2014. Cannabinoid-mediated short-term plasticity in hippocampus JOURNAL OF COMPUTATIONAL NEUROSCIENCE. 37(3), 533-547
• THUL, R, 2014. Translating intracellular calcium signaling into models. In: PARYS, J, BOOTMAN, M, YULE, D and BULTYNCK, G, eds., Calcium Techniques Cold Spring Harbor Press.
• WEDGWOOD KC, LIN KK, THUL R and COOMBES S, 2013. Phase-amplitude descriptions of neural oscillator models. Journal of Mathematical Neuroscience. 3(2),
• BOOTMAN, M.D. and THUL, R, 2013. Calcium: A Local and Global Messenger in Cells. In: UVERSKY, V.N., KRETSINGER, R.H. and PERMYAKOV, E.A., eds., Encyclopedia of Metalloproteins 493-499
• RÜDIGER THUL, STEPHEN COOMBES and MARTIN D BOOTMAN, 2012. Persistence of pro-arrhythmic spatio-temporal calcium patterns in atrial myocytes: a computational study of ping waves Frontiers in Computational Physiology and Medicine. 3, 279
• COOMBES, S., THUL, R. and WEDGWOOD, K.C.A., 2012. Nonsmooth dynamics in spiking neuron models Physica D: Nonlinear Phenomena. 241(122), 2042-2057
• SCHENDEL T, THUL R, SNEYD J and FALCKE M, 2012. How Does The Ryanodine Receptor In The Ventricular Myocyte Wake Up: By A Single Or By Multiple Open L-Type Ca2+ Channels? European Biophysics Journal : Ebj. 41(1), 27-39
• THURLEY K, SKUPIN A, THUL R and FALCKE M, 2012. Fundamental Properties Of Ca(2+) Signals. Biochimica Et Biophysica Acta. 1820, 1185
• THUL, R., COOMBES, S., RODERICK, H.L. and BOOTMAN, M.D., 2012. Subcellular calcium dynamics in a whole cell model of an atrial myocyte Proceedings of the National Academy of Sciences of the United States of America. 109(6), 2150-2155
• BOOTMAN, MARTIN D, SMYRNIAS, IOANNIS, THUL, RÜDIGER, COOMBES, STEPHEN and RODERICK, H LLEWELYN, 2011. Atrial cardiomyocyte calcium signalling. Biochimica et Biophysica Acta. 1813, 922-934
• COOMBES, S, THUL, R, LAUDANSKI, J, PALMER, A.R. and SUMNER, C.J., 2011. Neuronal spike-train responses in the presence of threshold noise Frontiers in Life Sciences. 5, 91
• FINK, MARTIN, NIEDERER, STEVEN A, CHERRY, ELIZABETH M, FENTON, FLAVIO H, KOIVUMÄKI, JUSSI T, SEEMANN, GUNNAR, THUL, RÜDIGER, ZHANG, HENGGUI, SACHSE, FRANK B, BEARD, DAN, CRAMPIN, EDMUND J and S, 2011. Cardiac cell modelling: Observations from the heart of the cardiac physiome project. Progress in Biophysics and Molecular Biology. 104, 2-21
• THUL, R. and COOMBES, S., 2010. Understanding cardiac alternans: a piecewise linear modeling framework Chaos. 20(4), 045102
• THUL, R., THURLEY, K. and FALCKE, M., 2009. Toward a predictive model of Ca²⁺ puffs Chaos. 19(3), 037108
• THUL, R, COOMBES, S and SMITH, G D, 2009. Sensitisation waves in a bidomain fire-diffuse-fire model of intracellular Ca²⁺ dynamics Physica D. 238, 2142-2152
• THUL, R, BELLAMY, T.C., RODERICK, H.L., BOOTMAN, M.D. and COOMBES, S, 2008. Calcium Oscillations. In: MIGUEL MAROTO AND NICK MONK, ed., Cellular Oscillatory Mechanisms Springer.
• THUL, R., SMITH, G.D. and COOMBES, S., 2008. A bidomain threshold model of propagating calcium waves Journal of Mathematical Biology. 56(4), 435-463
• THUL, R and FALCKE, M, 2007. Waiting time distributions for clusters of complex molecules Europhysics Letters. 79, 38003
• THUL, R and FALCKE, M, 2006. Frequency of elemental events of intracellular Ca²⁺ dynamics Physical Review E: Statistical, Nonlinear and Soft Matter Physics. 73(6), 061923 1-14
• THUL, R and FALCKE, M, 2006. Building oscillations bottom up: elemental time scales of intracellular calcium dynamics. In: L. SCHIMANSKY-GEIER, B. FIEDLER, J. KURTHS AND E. SCHÖLL, ed., Analysis and Control of Complex Nonlinear Processes in Physics, Chemistry and Biology World Scientific. 452
• THUL, R and FALCKE, M, 2005. Reactive clusters on a membrane Physical Biology. 2(1), 51-59
• THUL, R and FALCKE, M, 2004. Release Currents of IP₃ Receptor Channel Clusters and Concentration Profiles Biophysical Journal. VOL 86(PART 5), 2660-2673
• THUL, R and FALCKE, M, 2004. Stability of Membrane Bound Reactions Physical Review Letters. VOL 93(NUMB 18), 188103-188300
• BUNEMANN, J., GEBHARD, F. and THUL, R., 2003. Landau-Gutzwiller quasiparticles (11 pages) PHYSICAL REVIEW B. VOL 67(PART 7), 075103