Edit Profile Bressloff, Paul C. Compute Distance To: Compute Author ID: bressloff.paul-c Published as: Bressloff, P.; Bressloff, P. C.; Bressloff, Paul; Bressloff, Paul C; Bressloff, Paul C. Documents Indexed: 116 Publications since 1989, including 4 Books all top 5 Co-Authors 28 single-authored 10 Lawley, Sean D. 7 Taylor, John Gerald 6 Coombes, Stephen 6 Kilpatrick, Zachary P. 5 Cowan, Jack D. 5 Levien, Ethan 5 MacLaurin, James N. 4 Carroll, Samuel R. 4 Dwyer, Vincent M. 4 Folias, Stefanos E. 4 Kearney, Michael J. 3 Fan, Gaoyang 3 Faugeras, Olivier D. 3 Karamched, Bhargav R. 3 Murphy, Patrick 3 Newby, Jay M. 3 Stark, Jaroslav F. 3 Thomas, Peter J. 3 Webber, Matthew A. 3 Xu, Bin 2 Golubitsky, Martin A. 2 Kim, Hyunjoong 2 Lai, Yi Ming 2 Restuccia, Álvaro 1 Bressloff, Neil W. 1 Brooks, Heather A. 1 De Souza, Bruno Lima 1 Earnshaw, Berton A. 1 Ermentrout, Bard G. 1 Fokas, Athanassios S. 1 Galtier, Mathieu N. 1 James, M. P. 1 Li, Yuexian 1 Nouri-Moghadem, M. 1 Oster, Andrew M. 1 Prat, Alain 1 Rowlands, George 1 Russo, Giovanni 1 Ward, Michael J. 1 Wiener, Matthew C. all top 5 Serials 15 SIAM Journal on Applied Mathematics 14 Physica D 13 SIAM Journal on Applied Dynamical Systems 11 Journal of Physics A: Mathematical and Theoretical 8 Journal of Physics A: Mathematical and General 6 Bulletin of Mathematical Biology 5 The Journal of Mathematical Neuroscience 4 Multiscale Modeling & Simulation 4 Journal of Statistical Mechanics: Theory and Experiment 3 Biological Cybernetics 3 Journal of Mathematical Biology 3 Neural Computation 2 Classical and Quantum Gravity 2 Network (Bristol) 2 Journal of Computational Neuroscience 2 Chaos 1 Journal of Computational Physics 1 Journal of Mathematical Analysis and Applications 1 Nonlinearity 1 Physics Letters. A 1 Neural Networks 1 IEEE Transactions on Systems, Man, and Cybernetics 1 Journal of Nonlinear Science 1 Interdisciplinary Applied Mathematics 1 Lecture Notes on Mathematical Modelling in the Life Sciences all top 5 Fields 93 Biology and other natural sciences (92-XX) 29 Partial differential equations (35-XX) 27 Probability theory and stochastic processes (60-XX) 16 Dynamical systems and ergodic theory (37-XX) 15 Ordinary differential equations (34-XX) 14 Integral equations (45-XX) 14 Statistical mechanics, structure of matter (82-XX) 10 Computer science (68-XX) 7 Numerical analysis (65-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Quantum theory (81-XX) 3 Systems theory; control (93-XX) 2 General and overarching topics; collections (00-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Combinatorics (05-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 93 Publications have been cited 775 times in 426 Documents Cited by ▼ Year ▼ Spatiotemporal dynamics of continuum neural fields. Zbl 1263.92008Bressloff, Paul C. 75 2012 Stochastic processes in cell biology. Zbl 1402.92001Bressloff, Paul C. 51 2014 Breathing pulses in an excitatory neural network. Zbl 1058.92010Folias, Stefanos E.; Bressloff, Paul C. 36 2004 Traveling fronts and wave propagation failure in an inhomogeneous neural network. Zbl 1004.92005Bressloff, Paul C. 31 2001 Stochastic neural field theory and the system-size expansion. Zbl 1198.92007Bressloff, Paul C. 30 2009 Front propagation in stochastic neural fields. Zbl 1246.92004Bressloff, Paul C.; Webber, Matthew A. 24 2012 Bursting. The genesis of rhythm in the nervous system. Zbl 1094.92500Coombes, Stephen (ed.); Bressloff, Paul C. (ed.) 22 2005 What geometric visual hallucinations tell us about the visual cortex. Zbl 1037.91083Bressloff, Paul C.; Cowan, Jack D.; Golubitsky, Martin; Thomas, Peter J.; Wiener, Matthew C. 21 2002 Escape from subcellular domains with randomly switching boundaries. Zbl 1329.82092Bressloff, Paul C.; Lawley, Sean D. 20 2015 Effects of synaptic depression and adaptation on spatiotemporal dynamics of an excitatory neuronal network. Zbl 1186.92010Kilpatrick, Zachary P.; Bressloff, Paul C. 20 2010 Traveling pulses and wave propagation failure in inhomogeneous neural media. Zbl 1159.92010Kilpatrick, Zachary P.; Folias, Stefanos E.; Bressloff, Paul C. 19 2008 Stimulus-locked traveling waves and breathers in an excitatory neural network. Zbl 1076.92004Folias, Stefanos E.; Bressloff, Paul C. 18 2005 Moment equations for a piecewise deterministic PDE. Zbl 1339.60078Bressloff, Paul C.; Lawley, Sean D. 17 2015 Quasi-steady state reduction of molecular motor-based models of directed intermittent search. Zbl 1203.92006Newby, Jay M.; Bressloff, Paul C. 16 2010 Metastability in a stochastic neural network modeled as a velocity jump Markov process. Zbl 1278.92005Bressloff, Paul C.; Newby, Jay M. 15 2013 Scalar and pseudoscalar bifurcations motivated by pattern formation on the visual cortex. Zbl 1017.37025Bressloff, Paul C.; Cowan, Jack D.; Golubitsky, Martin; Thomas, Peter J. 14 2001 Escape from a potential well with a randomly switching boundary. Zbl 1405.34050Bressloff, Paul C.; Lawley, Sean D. 13 2015 Front bifurcations in an excitatory neural network. Zbl 1071.92003Bressloff, Paul C.; Folias, Stefanos E. 13 2004 Spatially periodic modulation of cortical patterns by long-range horizontal connections. Zbl 1030.92006Bressloff, Paul C. 13 2003 Diffusion in cells with stochastically gated gap junctions. Zbl 1351.82056Bressloff, Paul C. 12 2016 Waves in neural media. From single neurons to neural fields. Zbl 1296.92005Bressloff, Paul C. 12 2014 Two-dimensional bumps in piecewise smooth neural fields with synaptic depression. Zbl 1221.92017Bressloff, Paul C.; Kilpatrick, Zachary P. 12 2011 Symmetry and phase-locking in a ring of pulse-coupled oscillators with distributed delays. Zbl 0937.34060Bressloff, P. C.; Coombes, S. 12 1999 Stochastic switching in biology: from genotype to phenotype. Zbl 1360.92042Bressloff, Paul C. 11 2017 Diffusion on a tree with stochastically gated nodes. Zbl 1342.92073Bressloff, Paul C.; Lawley, Sean D. 11 2016 Binocular rivalry in a competitive neural network with synaptic depression. Zbl 1202.92013Kilpatrick, Zachary P.; Bressloff, Paul C. 10 2010 Spontaneous symmetry breaking in self-organizing neural fields. Zbl 1129.92010Bressloff, Paul C. 10 2005 Weakly interacting pulses in synaptically coupled neural media. Zbl 1091.92013Bressloff, Paul C. 10 2005 Travelling waves in chains of pulse-coupled integrate-and-fire oscillators with distributed delays. Zbl 0934.34057Bressloff, P. C.; Coombes, S. 10 1999 Nonlinear Langevin equations for wandering patterns in stochastic neural fields. Zbl 1402.92076Bressloff, Paul C.; Kilpatrick, Zachary P. 9 2015 The visual cortex as a crystal. Zbl 1017.92009Bressloff, Paul C.; Cowan, Jack D. 9 2002 An amplitude equation approach to contextual effects in visual cortex. Zbl 0987.92005Bressloff, Paul C.; Cowan, Jack D. 9 2002 Path-integral methods for analyzing the effects of fluctuations in stochastic hybrid neural networks. Zbl 1361.92005Bressloff, Paul C. 8 2015 Stability of bumps in piecewise smooth neural fields with nonlinear adaptation. Zbl 1189.37027Kilpatrick, Zachary P.; Bressloff, Paul C. 8 2010 Traveling waves and pulses in a one-dimensional network of excitable integrate-and-fire neurons. Zbl 0952.92007Bressloff, Paul C. 8 2000 A dynamical theory of spike train transitions in networks of integrate-and-fire oscillators. Zbl 0947.34022Bressloff, P. C.; Coombes, S. 8 2000 Inhomogeneity-induced bifurcation of stationary and oscillatory pulses. Zbl 1082.35025Prat, Alain; Li, Yue-Xian; Bressloff, Paul 7 2005 Solitary waves in a model of dendritic cable with active spines. Zbl 1016.92004Coombes, S.; Bressloff, P. C. 7 2000 Dynamics of a compartmental model integrate-and-fire neuron with somatic potential reset. Zbl 0885.65155Bressloff, Paul C. 7 1995 Dynamically active compartments coupled by a stochastically gated gap junction. Zbl 1379.35332Bressloff, Paul C.; Lawley, Sean D. 6 2017 Stochastic synchronization of neuronal populations with intrinsic and extrinsic noise. Zbl 1259.92004Bressloff, Paul C; Lai, Yi Ming 6 2011 A developmental model of ocular dominance column formation on a growing cortex. Zbl 1334.92043Oster, Andrew M.; Bressloff, Paul C. 5 2006 Euclidean shift-twist symmetry in population models of self-aligning objects. Zbl 1051.92002Bressloff, Paul C. 5 2004 A variational method for analyzing stochastic limit cycle oscillators. Zbl 1409.60101Bressloff, Paul C.; MacLaurin, James N. 4 2018 A PDE-DDE model for cell polarization in fission yeast. Zbl 1346.92024Xu, Bin; Bressloff, Paul C. 4 2016 Aggregation-fragmentation model of vesicular transport in neurons. Zbl 1342.92039Bressloff, Paul C. 4 2016 A stochastic hybrid framework for obtaining statistics of many random walkers in a switching environment. Zbl 1356.35264Levien, Ethan; Bressloff, Paul C. 3 2016 Model of reversible vesicular transport with exclusion. Zbl 1348.92032Bressloff, Paul C.; Karamched, Bhargav R. 3 2016 From invasion to extinction in heterogeneous neural fields. Zbl 1291.92024Bressloff, Paul C. 3 2012 Lectures in mathematical neuroscience. Zbl 1352.92024Bressloff, Paul C. 3 2009 Spontaneous pattern formation in primary visual cortex. Zbl 1132.92309Bressloff, Paul C.; Cowan, Jack D. 3 2003 Resonantlike synchronization and bursting in a model of pulse-coupled neurons with active dendrites. Zbl 0926.92007Bressloff, Paul C. 3 1999 A ‘sum-over-paths’ approach to diffusion on stress. Zbl 0902.60063Bressloff, Paul C.; Dwyer, V. M.; Kearney, M. J. 3 1996 Stochastic dynamics of reinforcement learning. Zbl 0839.68081Bressloff, P. C. 3 1995 Iterated function systems and their applications. Zbl 0827.28006Stark, J.; Bressloff, P. 3 1993 Compartmental-model response function for dendritic trees. Zbl 0800.92034Bressloff, Paul C.; Taylor, John G. 3 1993 Analysis of associative reinforcement learning in neural networks using iterated function systems. Zbl 0776.92002Bressloff, Paul C.; Stark, Jaroslav 3 1992 Synchronization of stochastic hybrid oscillators driven by a common switching environment. Zbl 1404.34072Bressloff, Paul C.; MacLaurin, James 2 2018 A variational method for analyzing limit cycle oscillations in stochastic hybrid systems. Zbl 1394.92049Bressloff, Paul C.; MacLaurin, James 2 2018 Population model of quorum sensing with multiple parallel pathways. Zbl 1382.92125Fan, Gaoyang; Bressloff, Paul C. 2 2017 On balance relations for irreversible chemical reaction networks. Zbl 1432.82018Levien, Ethan; Bressloff, Paul C. 2 2017 Residence times of a Brownian particle with temporal heterogeneity. Zbl 1374.60158Bressloff, Paul C.; Lawley, Sean D. 2 2017 A mechanism for Turing pattern formation with active and passive transport. Zbl 1347.92012Brooks, Heather A.; Bressloff, Paul C. 2 2016 Phase equation for patterns of orientation selectivity in a neural field model of visual cortex. Zbl 1343.92079Carroll, Samuel R.; Bressloff, Paul C. 2 2016 Stochastic active-transport model of cell polarization. Zbl 1346.92022Bressloff, Paul C.; Xu, Bin 2 2015 Spatiotemporal dynamics of neural fields on product spaces. Zbl 1322.92007Bressloff, Paul C.; Carroll, Samuel R. 2 2014 Propagation of CaMKII translocation waves in heterogeneous spiny dendrites. Zbl 1402.92075Bressloff, Paul C. 2 2013 Diffusion of protein receptors on a cylindrical dendritic membrane with partially absorbing traps. Zbl 1146.92005Bressloff, Paul C.; Earnshaw, Berton A.; Ward, Michael J. 2 2008 Exact travlling wavelling wave solutions of an ”intgrablegrable” discrete reaction-diffusion equation. Zbl 0943.37036Bressloff, P. C.; Rowlands, G. 2 1997 A Green’s function approach to analysing the effects of random synaptic background activity in a model neural network. Zbl 0939.68774Bressloff, P. C. 2 1994 Two-state representations of three-state neural networks. Zbl 0727.68103Stark, Jaroslav; Bressloff, Paul 2 1990 Effective permeability of a gap junction with age-structured switching. Zbl 1431.92041Bressloff, Paul C.; Lawley, Sean D.; Murphy, Patrick 1 2020 Propagation of extrinsic fluctuations in biochemical birth-death processes. Zbl 1415.92079Bressloff, P. C.; Levien, E. 1 2019 Stochastic hybrid systems in cellular neuroscience. Zbl 1405.92037Bressloff, Paul C.; Maclaurin, James N. 1 2018 Diffusion in an age-structured randomly switching environment. Zbl 1400.92426Bressloff, Paul C.; Lawley, Sean D.; Murphy, Patrick 1 2018 Robustness of stochastic chemical reaction networks to extrinsic noise: the role of deficiency. Zbl 1400.92211Levien, Ethan; Bressloff, Paul C. 1 2018 Symmetric bifurcations in a neural field model for encoding the direction of spatial contrast gradients. Zbl 1385.92012Carroll, Samuel R.; Bressloff, Paul C. 1 2018 On the Hamiltonian structure of large deviations in stochastic hybrid systems. Zbl 07232403Bressloff, Paul C.; Faugeras, Olivier 1 2017 A theory of synchrony for active compartments with delays coupled through bulk diffusion. Zbl 1384.92032Xu, Bin; Bressloff, Paul C. 1 2017 Coupling sample paths to the thermodynamic limit in Monte Carlo estimators with applications to gene expression. Zbl 1378.65023Levien, Ethan; Bressloff, Paul C. 1 2017 Effects of cell geometry on reversible vesicular transport. Zbl 1357.92023Karamched, Bhargav R.; Bressloff, Paul C. 1 2017 Binocular rivalry waves in a directionally selective neural field model. Zbl 1349.91240Carroll, Samuel R.; Bressloff, Paul C. 1 2014 Dispersal and noise: various modes of synchrony in ecological oscillators. Zbl 1279.92084Bressloff, Paul C.; Lai, Yi Ming 1 2013 Hebbian learning of recurrent connections: a geometrical perspective. Zbl 1269.92005Galtier, Mathieu N.; Faugeras, Olivier D.; Bressloff, Paul C. 1 2012 Random intermittent search and the tug-of-war model of motor-driven transport. Zbl 07230181Newby, Jay; Bressloff, Paul C. 1 2010 A new spectral transform for solving the continuous and spatially discrete heat equations on simple trees. Zbl 0932.35033Bressloff, P. C.; Fokas, A. S. 1 1999 A new Green’s function method for solving linear PDE’s in two variables. Zbl 0881.65092Bressloff, Paul C. 1 1997 Average firing rate of a neural network with dynamical disorder. Zbl 0839.68080Bressloff, Paul C. 1 1995 Dynamics of compartmental model neurons. Zbl 0812.92004Bressloff, Paul C.; Taylor, John G. 1 1994 Time-summating network approach. Zbl 0800.92058Bressloff, Paul C. 1 1993 Temporal processing in neural networks with adaptive short term memory: A compartmental model approach. Zbl 0772.92001Bressloff, Paul C. 1 1993 Low firing-rates in a compartmental model neuron. Zbl 0771.92006Bressloff, Paul C.; Taylor, John G. 1 1993 Perceptron-like learning in time-summating neural networks. Zbl 0764.92004Bressloff, Paul C.; Taylor, John G. 1 1992 Effective permeability of a gap junction with age-structured switching. Zbl 1431.92041Bressloff, Paul C.; Lawley, Sean D.; Murphy, Patrick 1 2020 Propagation of extrinsic fluctuations in biochemical birth-death processes. Zbl 1415.92079Bressloff, P. C.; Levien, E. 1 2019 A variational method for analyzing stochastic limit cycle oscillators. Zbl 1409.60101Bressloff, Paul C.; MacLaurin, James N. 4 2018 Synchronization of stochastic hybrid oscillators driven by a common switching environment. Zbl 1404.34072Bressloff, Paul C.; MacLaurin, James 2 2018 A variational method for analyzing limit cycle oscillations in stochastic hybrid systems. Zbl 1394.92049Bressloff, Paul C.; MacLaurin, James 2 2018 Stochastic hybrid systems in cellular neuroscience. Zbl 1405.92037Bressloff, Paul C.; Maclaurin, James N. 1 2018 Diffusion in an age-structured randomly switching environment. Zbl 1400.92426Bressloff, Paul C.; Lawley, Sean D.; Murphy, Patrick 1 2018 Robustness of stochastic chemical reaction networks to extrinsic noise: the role of deficiency. Zbl 1400.92211Levien, Ethan; Bressloff, Paul C. 1 2018 Symmetric bifurcations in a neural field model for encoding the direction of spatial contrast gradients. Zbl 1385.92012Carroll, Samuel R.; Bressloff, Paul C. 1 2018 Stochastic switching in biology: from genotype to phenotype. Zbl 1360.92042Bressloff, Paul C. 11 2017 Dynamically active compartments coupled by a stochastically gated gap junction. Zbl 1379.35332Bressloff, Paul C.; Lawley, Sean D. 6 2017 Population model of quorum sensing with multiple parallel pathways. Zbl 1382.92125Fan, Gaoyang; Bressloff, Paul C. 2 2017 On balance relations for irreversible chemical reaction networks. Zbl 1432.82018Levien, Ethan; Bressloff, Paul C. 2 2017 Residence times of a Brownian particle with temporal heterogeneity. Zbl 1374.60158Bressloff, Paul C.; Lawley, Sean D. 2 2017 On the Hamiltonian structure of large deviations in stochastic hybrid systems. Zbl 07232403Bressloff, Paul C.; Faugeras, Olivier 1 2017 A theory of synchrony for active compartments with delays coupled through bulk diffusion. Zbl 1384.92032Xu, Bin; Bressloff, Paul C. 1 2017 Coupling sample paths to the thermodynamic limit in Monte Carlo estimators with applications to gene expression. Zbl 1378.65023Levien, Ethan; Bressloff, Paul C. 1 2017 Effects of cell geometry on reversible vesicular transport. Zbl 1357.92023Karamched, Bhargav R.; Bressloff, Paul C. 1 2017 Diffusion in cells with stochastically gated gap junctions. Zbl 1351.82056Bressloff, Paul C. 12 2016 Diffusion on a tree with stochastically gated nodes. Zbl 1342.92073Bressloff, Paul C.; Lawley, Sean D. 11 2016 A PDE-DDE model for cell polarization in fission yeast. Zbl 1346.92024Xu, Bin; Bressloff, Paul C. 4 2016 Aggregation-fragmentation model of vesicular transport in neurons. Zbl 1342.92039Bressloff, Paul C. 4 2016 A stochastic hybrid framework for obtaining statistics of many random walkers in a switching environment. Zbl 1356.35264Levien, Ethan; Bressloff, Paul C. 3 2016 Model of reversible vesicular transport with exclusion. Zbl 1348.92032Bressloff, Paul C.; Karamched, Bhargav R. 3 2016 A mechanism for Turing pattern formation with active and passive transport. Zbl 1347.92012Brooks, Heather A.; Bressloff, Paul C. 2 2016 Phase equation for patterns of orientation selectivity in a neural field model of visual cortex. Zbl 1343.92079Carroll, Samuel R.; Bressloff, Paul C. 2 2016 Escape from subcellular domains with randomly switching boundaries. Zbl 1329.82092Bressloff, Paul C.; Lawley, Sean D. 20 2015 Moment equations for a piecewise deterministic PDE. Zbl 1339.60078Bressloff, Paul C.; Lawley, Sean D. 17 2015 Escape from a potential well with a randomly switching boundary. Zbl 1405.34050Bressloff, Paul C.; Lawley, Sean D. 13 2015 Nonlinear Langevin equations for wandering patterns in stochastic neural fields. Zbl 1402.92076Bressloff, Paul C.; Kilpatrick, Zachary P. 9 2015 Path-integral methods for analyzing the effects of fluctuations in stochastic hybrid neural networks. Zbl 1361.92005Bressloff, Paul C. 8 2015 Stochastic active-transport model of cell polarization. Zbl 1346.92022Bressloff, Paul C.; Xu, Bin 2 2015 Stochastic processes in cell biology. Zbl 1402.92001Bressloff, Paul C. 51 2014 Waves in neural media. From single neurons to neural fields. Zbl 1296.92005Bressloff, Paul C. 12 2014 Spatiotemporal dynamics of neural fields on product spaces. Zbl 1322.92007Bressloff, Paul C.; Carroll, Samuel R. 2 2014 Binocular rivalry waves in a directionally selective neural field model. Zbl 1349.91240Carroll, Samuel R.; Bressloff, Paul C. 1 2014 Metastability in a stochastic neural network modeled as a velocity jump Markov process. Zbl 1278.92005Bressloff, Paul C.; Newby, Jay M. 15 2013 Propagation of CaMKII translocation waves in heterogeneous spiny dendrites. Zbl 1402.92075Bressloff, Paul C. 2 2013 Dispersal and noise: various modes of synchrony in ecological oscillators. Zbl 1279.92084Bressloff, Paul C.; Lai, Yi Ming 1 2013 Spatiotemporal dynamics of continuum neural fields. Zbl 1263.92008Bressloff, Paul C. 75 2012 Front propagation in stochastic neural fields. Zbl 1246.92004Bressloff, Paul C.; Webber, Matthew A. 24 2012 From invasion to extinction in heterogeneous neural fields. Zbl 1291.92024Bressloff, Paul C. 3 2012 Hebbian learning of recurrent connections: a geometrical perspective. Zbl 1269.92005Galtier, Mathieu N.; Faugeras, Olivier D.; Bressloff, Paul C. 1 2012 Two-dimensional bumps in piecewise smooth neural fields with synaptic depression. Zbl 1221.92017Bressloff, Paul C.; Kilpatrick, Zachary P. 12 2011 Stochastic synchronization of neuronal populations with intrinsic and extrinsic noise. Zbl 1259.92004Bressloff, Paul C; Lai, Yi Ming 6 2011 Effects of synaptic depression and adaptation on spatiotemporal dynamics of an excitatory neuronal network. Zbl 1186.92010Kilpatrick, Zachary P.; Bressloff, Paul C. 20 2010 Quasi-steady state reduction of molecular motor-based models of directed intermittent search. Zbl 1203.92006Newby, Jay M.; Bressloff, Paul C. 16 2010 Binocular rivalry in a competitive neural network with synaptic depression. Zbl 1202.92013Kilpatrick, Zachary P.; Bressloff, Paul C. 10 2010 Stability of bumps in piecewise smooth neural fields with nonlinear adaptation. Zbl 1189.37027Kilpatrick, Zachary P.; Bressloff, Paul C. 8 2010 Random intermittent search and the tug-of-war model of motor-driven transport. Zbl 07230181Newby, Jay; Bressloff, Paul C. 1 2010 Stochastic neural field theory and the system-size expansion. Zbl 1198.92007Bressloff, Paul C. 30 2009 Lectures in mathematical neuroscience. Zbl 1352.92024Bressloff, Paul C. 3 2009 Traveling pulses and wave propagation failure in inhomogeneous neural media. Zbl 1159.92010Kilpatrick, Zachary P.; Folias, Stefanos E.; Bressloff, Paul C. 19 2008 Diffusion of protein receptors on a cylindrical dendritic membrane with partially absorbing traps. Zbl 1146.92005Bressloff, Paul C.; Earnshaw, Berton A.; Ward, Michael J. 2 2008 A developmental model of ocular dominance column formation on a growing cortex. Zbl 1334.92043Oster, Andrew M.; Bressloff, Paul C. 5 2006 Bursting. The genesis of rhythm in the nervous system. Zbl 1094.92500Coombes, Stephen (ed.); Bressloff, Paul C. (ed.) 22 2005 Stimulus-locked traveling waves and breathers in an excitatory neural network. Zbl 1076.92004Folias, Stefanos E.; Bressloff, Paul C. 18 2005 Spontaneous symmetry breaking in self-organizing neural fields. Zbl 1129.92010Bressloff, Paul C. 10 2005 Weakly interacting pulses in synaptically coupled neural media. Zbl 1091.92013Bressloff, Paul C. 10 2005 Inhomogeneity-induced bifurcation of stationary and oscillatory pulses. Zbl 1082.35025Prat, Alain; Li, Yue-Xian; Bressloff, Paul 7 2005 Breathing pulses in an excitatory neural network. Zbl 1058.92010Folias, Stefanos E.; Bressloff, Paul C. 36 2004 Front bifurcations in an excitatory neural network. Zbl 1071.92003Bressloff, Paul C.; Folias, Stefanos E. 13 2004 Euclidean shift-twist symmetry in population models of self-aligning objects. Zbl 1051.92002Bressloff, Paul C. 5 2004 Spatially periodic modulation of cortical patterns by long-range horizontal connections. Zbl 1030.92006Bressloff, Paul C. 13 2003 Spontaneous pattern formation in primary visual cortex. Zbl 1132.92309Bressloff, Paul C.; Cowan, Jack D. 3 2003 What geometric visual hallucinations tell us about the visual cortex. Zbl 1037.91083Bressloff, Paul C.; Cowan, Jack D.; Golubitsky, Martin; Thomas, Peter J.; Wiener, Matthew C. 21 2002 The visual cortex as a crystal. Zbl 1017.92009Bressloff, Paul C.; Cowan, Jack D. 9 2002 An amplitude equation approach to contextual effects in visual cortex. Zbl 0987.92005Bressloff, Paul C.; Cowan, Jack D. 9 2002 Traveling fronts and wave propagation failure in an inhomogeneous neural network. Zbl 1004.92005Bressloff, Paul C. 31 2001 Scalar and pseudoscalar bifurcations motivated by pattern formation on the visual cortex. Zbl 1017.37025Bressloff, Paul C.; Cowan, Jack D.; Golubitsky, Martin; Thomas, Peter J. 14 2001 Traveling waves and pulses in a one-dimensional network of excitable integrate-and-fire neurons. Zbl 0952.92007Bressloff, Paul C. 8 2000 A dynamical theory of spike train transitions in networks of integrate-and-fire oscillators. Zbl 0947.34022Bressloff, P. C.; Coombes, S. 8 2000 Solitary waves in a model of dendritic cable with active spines. Zbl 1016.92004Coombes, S.; Bressloff, P. C. 7 2000 Symmetry and phase-locking in a ring of pulse-coupled oscillators with distributed delays. Zbl 0937.34060Bressloff, P. C.; Coombes, S. 12 1999 Travelling waves in chains of pulse-coupled integrate-and-fire oscillators with distributed delays. Zbl 0934.34057Bressloff, P. C.; Coombes, S. 10 1999 Resonantlike synchronization and bursting in a model of pulse-coupled neurons with active dendrites. Zbl 0926.92007Bressloff, Paul C. 3 1999 A new spectral transform for solving the continuous and spatially discrete heat equations on simple trees. Zbl 0932.35033Bressloff, P. C.; Fokas, A. S. 1 1999 Exact travlling wavelling wave solutions of an ”intgrablegrable” discrete reaction-diffusion equation. Zbl 0943.37036Bressloff, P. C.; Rowlands, G. 2 1997 A new Green’s function method for solving linear PDE’s in two variables. Zbl 0881.65092Bressloff, Paul C. 1 1997 A ‘sum-over-paths’ approach to diffusion on stress. Zbl 0902.60063Bressloff, Paul C.; Dwyer, V. M.; Kearney, M. J. 3 1996 Dynamics of a compartmental model integrate-and-fire neuron with somatic potential reset. Zbl 0885.65155Bressloff, Paul C. 7 1995 Stochastic dynamics of reinforcement learning. Zbl 0839.68081Bressloff, P. C. 3 1995 Average firing rate of a neural network with dynamical disorder. Zbl 0839.68080Bressloff, Paul C. 1 1995 A Green’s function approach to analysing the effects of random synaptic background activity in a model neural network. Zbl 0939.68774Bressloff, P. C. 2 1994 Dynamics of compartmental model neurons. Zbl 0812.92004Bressloff, Paul C.; Taylor, John G. 1 1994 Iterated function systems and their applications. Zbl 0827.28006Stark, J.; Bressloff, P. 3 1993 Compartmental-model response function for dendritic trees. Zbl 0800.92034Bressloff, Paul C.; Taylor, John G. 3 1993 Time-summating network approach. Zbl 0800.92058Bressloff, Paul C. 1 1993 Temporal processing in neural networks with adaptive short term memory: A compartmental model approach. Zbl 0772.92001Bressloff, Paul C. 1 1993 Low firing-rates in a compartmental model neuron. Zbl 0771.92006Bressloff, Paul C.; Taylor, John G. 1 1993 Analysis of associative reinforcement learning in neural networks using iterated function systems. Zbl 0776.92002Bressloff, Paul C.; Stark, Jaroslav 3 1992 Perceptron-like learning in time-summating neural networks. Zbl 0764.92004Bressloff, Paul C.; Taylor, John G. 1 1992 Two-state representations of three-state neural networks. Zbl 0727.68103Stark, Jaroslav; Bressloff, Paul 2 1990 all cited Publications top 5 cited Publications all top 5 Cited by 674 Authors 49 Bressloff, Paul C. 18 Lawley, Sean D. 17 Coombes, Stephen 15 Kilpatrick, Zachary P. 12 Wyller, John A. 11 Laing, Carlo R. 9 Faye, Grégory 8 Hutt, Axel 7 Faugeras, Olivier Paul 7 Robinson, Peter A. 7 Ward, Michael J. 6 Ermentrout, Bard G. 6 Kühn, Christian 6 MacLaurin, James N. 6 Sarti, Alessandro 5 Chossat, Pascal 5 Citti, Giovanna 5 Duan, Jinqiao 5 Keener, James P. 5 Longtin, André 5 Ponosov, Arcady V. 5 Touboul, Jonathan David 4 Einevoll, Gaute T. 4 Hupkes, Hermen Jan 4 Levien, Ethan 4 Lewis, Mark Alun 4 Li, Yuexian 4 Miles, Christopher E. 4 Oleynik, Anna 4 Poll, Daniel B. 4 Xu, Bin 4 Zhang, Linghai 3 Bard Ermentrout, G. 3 Campbell, Sue Ann 3 Carroll, Samuel R. 3 de Vries, Gerda 3 Drysdale, P. M. 3 Dumont, Grégory 3 Eftimie, Radu 3 Faugeras, Olivier D. 3 Fung, C. C. Alan 3 Horikawa, Yo 3 Huang, Zhehao 3 Kofané, Timoléon Crépin 3 Kolokolnikov, Theodore 3 Kurths, Jürgen 3 Lai, Yi Ming 3 Li, Xiaofan 3 Liu, Zhengrong 3 Lord, Gabriel James 3 Murphy, Patrick 3 Potthast, Roland W. E. 3 Rubin, Jonathan E. 3 Stannat, Wilhelm 3 Thomas, Peter J. 3 Thul, Rüdiger 3 Touboul, Jonathan 3 van Albada, S. J. 2 Ahn, Sungwoo 2 Amari, Shun-ichi 2 Ashwin, Peter 2 Avitabile, Daniele 2 Barreiro, Andrea K. 2 beim Graben, Peter 2 Blomquist, Patrick 2 Bojak, Ingo 2 Bokes, Pavol 2 Burlakov, Evgenii O. 2 Cabana, Tanguy 2 Chaillet, Antoine 2 Chen, Xiaoli 2 Chevallier, Julien 2 Cowan, Jack D. 2 Detorakis, Georgios Is. 2 Edelstein-Keshet, Leah 2 Fan, Gaoyang 2 Fasoli, Diego 2 Favali, Marta 2 Fetecau, Razvan C. 2 Fotouhi, Morteza 2 Glyzin, Sergeĭ D. 2 Golubitsky, Martin A. 2 Gong, Pulin 2 González-Ramírez, Laura Rocio 2 Gou, Jia 2 Hamster, C. H. S. 2 Henke, Harold 2 Holcman, David 2 Inglis, James D. 2 Iomin, Alexander 2 Josić, Krešimir 2 Kaelo, Pro 2 Kang, Hye-Won 2 Karamched, Bhargav R. 2 Kim, Hyunjoong 2 Krüger, J. G. 2 Lang, Eva 2 Lánský, Petr 2 LeBlanc, Victor G. 2 Li, Yang ...and 574 more Authors all top 5 Cited in 94 Serials 50 Physica D 31 The Journal of Mathematical Neuroscience 25 Journal of Mathematical Biology 21 Journal of Computational Neuroscience 21 Chaos 19 Bulletin of Mathematical Biology 19 SIAM Journal on Applied Mathematics 18 Biological Cybernetics 18 SIAM Journal on Applied Dynamical Systems 15 Neural Computation 13 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 11 Journal of Theoretical Biology 8 Journal of Nonlinear Science 7 Mathematical Biosciences 6 Neural Networks 6 Communications in Nonlinear Science and Numerical Simulation 5 Journal of Mathematical Analysis and Applications 5 Discrete and Continuous Dynamical Systems. Series B 5 Multiscale Modeling & Simulation 4 Journal of Statistical Physics 4 Nonlinearity 4 Chaos, Solitons and Fractals 4 Japan Journal of Industrial and Applied Mathematics 4 Journal of Physics A: Mathematical and Theoretical 3 Communications in Mathematical Physics 3 Applied Mathematics and Computation 3 Journal of Differential Equations 3 SIAM Journal on Mathematical Analysis 3 Mathematical Modelling of Natural Phenomena 2 Computers & Mathematics with Applications 2 Communications on Pure and Applied Mathematics 2 Journal of Computational Physics 2 Physica A 2 European Journal of Applied Mathematics 2 The Annals of Applied Probability 2 Stochastic Processes and their Applications 2 Journal of Dynamics and Differential Equations 2 Journal of Mathematical Imaging and Vision 2 Nonlinear Dynamics 2 Dynamical Systems 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Stochastics and Dynamics 2 Journal of Statistical Mechanics: Theory and Experiment 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 International Journal of Modern Physics B 1 Advances in Applied Probability 1 Computer Physics Communications 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Fluid Mechanics 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Mathematical Notes 1 Ukrainian Mathematical Journal 1 Advances in Mathematics 1 Automatica 1 Journal of Multivariate Analysis 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Studies in Applied Mathematics 1 Acta Applicandae Mathematicae 1 Applied Numerical Mathematics 1 Journal of Complexity 1 Computational Mechanics 1 Mathematical and Computer Modelling 1 Journal of Scientific Computing 1 Annals of Operations Research 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 European Journal of Operational Research 1 Proceedings of the National Academy of Sciences of the United States of America 1 SIAM Review 1 Journal of Mathematical Sciences (New York) 1 Electronic Journal of Differential Equations (EJDE) 1 NoDEA. Nonlinear Differential Equations and Applications 1 Journal of Difference Equations and Applications 1 Bernoulli 1 Discrete and Continuous Dynamical Systems 1 Computing and Visualization in Science 1 Differential Equations and Dynamical Systems 1 Optimization Methods & Software 1 PAA. Pattern Analysis and Applications 1 Fractional Calculus & Applied Analysis 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Annales Henri Poincaré 1 Nonlinear Analysis. Real World Applications 1 Journal of Evolution Equations 1 Communications on Pure and Applied Analysis 1 Acta Mechanica Sinica 1 Networks and Heterogeneous Media 1 Electronic Journal of Statistics 1 Advances in Mathematical Physics 1 Probability Surveys 1 ISRN Biomathematics 1 SIAM/ASA Journal on Uncertainty Quantification 1 Computational and Mathematical Biophysics all top 5 Cited in 34 Fields 321 Biology and other natural sciences (92-XX) 121 Partial differential equations (35-XX) 81 Probability theory and stochastic processes (60-XX) 71 Ordinary differential equations (34-XX) 69 Dynamical systems and ergodic theory (37-XX) 47 Integral equations (45-XX) 31 Numerical analysis (65-XX) 27 Statistical mechanics, structure of matter (82-XX) 15 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 13 Systems theory; control (93-XX) 11 Computer science (68-XX) 7 Operator theory (47-XX) 6 Combinatorics (05-XX) 5 Statistics (62-XX) 5 Mechanics of particles and systems (70-XX) 5 Fluid mechanics (76-XX) 5 Operations research, mathematical programming (90-XX) 4 Functional analysis (46-XX) 3 Mechanics of deformable solids (74-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 General and overarching topics; collections (00-XX) 2 Difference and functional equations (39-XX) 2 Integral transforms, operational calculus (44-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Geophysics (86-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Approximations and expansions (41-XX) 1 Convex and discrete geometry (52-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year