Edit Profile (opens in new tab) Bressloff, Paul C. Co-Author Distance Author ID: bressloff.paul-c Published as: Bressloff, Paul C.; Bressloff, P. C.; Bressloff, Paul; Bressloff, Paul C; Bressloff, P. more...less Documents Indexed: 155 Publications since 1989, including 5 Books and 8 Additional arXiv Preprints 2 Contributions as Editor · 1 Further Contribution Co-Authors: 42 Co-Authors with 92 Joint Publications 895 Co-Co-Authors all top 5 Co-Authors 65 single-authored 10 Lawley, Sean D. 7 Coombes, Stephen 7 Taylor, John Gerald 6 Kilpatrick, Zachary P. 6 MacLaurin, James N. 5 Cowan, Jack D. 5 Levien, Ethan 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 Schumm, Ryan D. 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 Newby, Jay M. 2 Restuccia, Álvaro 1 Bressloff, Neil W. 1 Brooks, Heather A. 1 Brooks, Heather Zinn 1 Carroll, Sam R. 1 Chkhenkeli, S. A. 1 Cornell-Bell, A. H. 1 De Souza, Bruno Lima 1 deGrauw, A. 1 Ditto, William L. 1 Dolan, Kevin 1 Earnshaw, Berton A. 1 Ebersole, J. S. 1 Ermentrout, Bard G. 1 Fokas, Athanassios S. 1 Francis, Joseph T. 1 Galtier, Mathieu N. 1 Gluckman, Bruce J. 1 Hecox, K. 1 Hetling, J. R. 1 Hunter, John D. 1 James, M. P. 1 Jerger, K. K. 1 Jung, Peter 1 Kohrman, M. 1 Li, Yuexian 1 Milton, John G. 1 Moss, Frank E. 1 Netloff, T. I. 1 Nouri-Moghadem, M. 1 Oster, Andrew M. 1 Pecora, Louis M. 1 Prat, Alain 1 Russo, Giovanni 1 Sauer, Timothy D. 1 Schiff, Steven J. 1 Spano, Mark L. 1 Strawsburg, R. 1 Towle, Vernon L. 1 Ward, Michael J. 1 Weinstein, S. L. 1 Wiener, Matthew C. 1 Winfree, Arthur Taylor all top 5 Serials 26 Journal of Physics A: Mathematical and Theoretical 18 SIAM Journal on Applied Mathematics 17 Physica D 13 SIAM Journal on Applied Dynamical Systems 8 Journal of Physics A: Mathematical and General 8 Journal of Statistical Mechanics: Theory and Experiment 7 Multiscale Modeling & Simulation 6 Bulletin of Mathematical Biology 5 The Journal of Mathematical Neuroscience 3 Biological Cybernetics 3 Journal of Mathematical Biology 3 Neural Computation 3 Interdisciplinary Applied Mathematics 2 Classical and Quantum Gravity 2 Journal of Computational Physics 2 Network (Bristol) 2 Journal of Computational Neuroscience 2 Chaos 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 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Lecture Notes on Mathematical Modelling in the Life Sciences all top 5 Fields 109 Biology and other natural sciences (92-XX) 50 Probability theory and stochastic processes (60-XX) 38 Partial differential equations (35-XX) 25 Statistical mechanics, structure of matter (82-XX) 18 Dynamical systems and ergodic theory (37-XX) 15 Ordinary differential equations (34-XX) 15 Integral equations (45-XX) 10 Computer science (68-XX) 7 Numerical analysis (65-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Quantum theory (81-XX) 4 Systems theory; control (93-XX) 3 General and overarching topics; collections (00-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Differential geometry (53-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 Fluid mechanics (76-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 129 Publications have been cited 1,269 times in 668 Documents Cited by ▼ Year ▼ Spatiotemporal dynamics of continuum neural fields. Zbl 1263.92008 Bressloff, Paul C. 124 2012 Stochastic processes in cell biology. Zbl 1402.92001 Bressloff, Paul C. 83 2014 Breathing pulses in an excitatory neural network. Zbl 1058.92010 Folias, Stefanos E.; Bressloff, Paul C. 49 2004 Stochastic neural field theory and the system-size expansion. Zbl 1198.92007 Bressloff, Paul C. 44 2009 Traveling fronts and wave propagation failure in an inhomogeneous neural network. Zbl 1004.92005 Bressloff, Paul C. 40 2001 Front propagation in stochastic neural fields. Zbl 1246.92004 Bressloff, Paul C.; Webber, Matthew A. 33 2012 Stimulus-locked traveling waves and breathers in an excitatory neural network. Zbl 1076.92004 Folias, Stefanos E.; Bressloff, Paul C. 29 2005 Bursting. The genesis of rhythm in the nervous system. Zbl 1094.92500 29 2005 What geometric visual hallucinations tell us about the visual cortex. Zbl 1037.91083 Bressloff, Paul C.; Cowan, Jack D.; Golubitsky, Martin; Thomas, Peter J.; Wiener, Matthew C. 28 2002 Stochastic switching in biology: from genotype to phenotype. Zbl 1360.92042 Bressloff, Paul C. 28 2017 Waves in neural media. From single neurons to neural fields. Zbl 1296.92005 Bressloff, Paul C. 26 2014 Quasi-steady state reduction of molecular motor-based models of directed intermittent search. Zbl 1203.92006 Newby, Jay M.; Bressloff, Paul C. 26 2010 Escape from subcellular domains with randomly switching boundaries. Zbl 1329.82092 Bressloff, Paul C.; Lawley, Sean D. 25 2015 Effects of synaptic depression and adaptation on spatiotemporal dynamics of an excitatory neuronal network. Zbl 1186.92010 Kilpatrick, Zachary P.; Bressloff, Paul C. 24 2010 Epilepsy as a dynamic disease. Zbl 1058.92027 24 2003 Traveling pulses and wave propagation failure in inhomogeneous neural media. Zbl 1159.92010 Kilpatrick, Zachary P.; Folias, Stefanos E.; Bressloff, Paul C. 24 2008 Moment equations for a piecewise deterministic PDE. Zbl 1339.60078 Bressloff, Paul C.; Lawley, Sean D. 23 2015 Metastability in a stochastic neural network modeled as a velocity jump Markov process. Zbl 1278.92005 Bressloff, Paul C.; Newby, Jay M. 20 2013 Diffusion in cells with stochastically gated gap junctions. Zbl 1351.82056 Bressloff, Paul C. 18 2016 Front bifurcations in an excitatory neural network. Zbl 1071.92003 Bressloff, Paul C.; Folias, Stefanos E. 17 2004 Spatially periodic modulation of cortical patterns by long-range horizontal connections. Zbl 1030.92006 Bressloff, Paul C. 17 2003 Scalar and pseudoscalar bifurcations motivated by pattern formation on the visual cortex. Zbl 1017.37025 Bressloff, Paul C.; Cowan, Jack D.; Golubitsky, Martin; Thomas, Peter J. 16 2001 Escape from a potential well with a randomly switching boundary. Zbl 1405.34050 Bressloff, Paul C.; Lawley, Sean D. 16 2015 Two-dimensional bumps in piecewise smooth neural fields with synaptic depression. Zbl 1221.92017 Bressloff, Paul C.; Kilpatrick, Zachary P. 15 2011 Diffusion-mediated absorption by partially-reactive targets: Brownian functionals and generalized propagators. Zbl 1506.60085 Bressloff, Paul C. 15 2022 A variational method for analyzing stochastic limit cycle oscillators. Zbl 1409.60101 Bressloff, Paul C.; MacLaurin, James N. 15 2018 Symmetry and phase-locking in a ring of pulse-coupled oscillators with distributed delays. Zbl 0937.34060 Bressloff, P. C.; Coombes, S. 14 1999 Nonlinear Langevin equations for wandering patterns in stochastic neural fields. Zbl 1402.92076 Bressloff, Paul C.; Kilpatrick, Zachary P. 14 2015 Modeling active cellular transport as a directed search process with stochastic resetting and delays. Zbl 1519.92062 Bressloff, Paul C. 14 2020 An amplitude equation approach to contextual effects in visual cortex. Zbl 0987.92005 Bressloff, Paul C.; Cowan, Jack D. 13 2002 Diffusion on a tree with stochastically gated nodes. Zbl 1342.92073 Bressloff, Paul C.; Lawley, Sean D. 13 2016 Weakly interacting pulses in synaptically coupled neural media. Zbl 1091.92013 Bressloff, Paul C. 11 2005 Target competition for resources under multiple search-and-capture events with stochastic resetting. Zbl 1472.60149 Bressloff, P. C. 11 2020 Binocular rivalry in a competitive neural network with synaptic depression. Zbl 1202.92013 Kilpatrick, Zachary P.; Bressloff, Paul C. 11 2010 Diffusion-mediated surface reactions and stochastic resetting. Zbl 1507.60102 Bressloff, Paul C. 11 2022 Search processes with stochastic resetting and partially absorbing targets. Zbl 1519.60099 Schumm, Ryan D.; Bressloff, Paul C. 11 2021 Spontaneous symmetry breaking in self-organizing neural fields. Zbl 1129.92010 Bressloff, Paul C. 10 2005 Stability of bumps in piecewise smooth neural fields with nonlinear adaptation. Zbl 1189.37027 Kilpatrick, Zachary P.; Bressloff, Paul C. 10 2010 Travelling waves in chains of pulse-coupled integrate-and-fire oscillators with distributed delays. Zbl 0934.34057 Bressloff, P. C.; Coombes, S. 10 1999 A dynamical theory of spike train transitions in networks of integrate-and-fire oscillators. Zbl 0947.34022 Bressloff, P. C.; Coombes, S. 10 2000 Traveling waves and pulses in a one-dimensional network of excitable integrate-and-fire neurons. Zbl 0952.92007 Bressloff, Paul C. 10 2000 The visual cortex as a crystal. Zbl 1017.92009 Bressloff, Paul C.; Cowan, Jack D. 10 2002 On the Hamiltonian structure of large deviations in stochastic hybrid systems. Zbl 1457.82190 Bressloff, Paul C.; Faugeras, Olivier 10 2017 Inhomogeneity-induced bifurcation of stationary and oscillatory pulses. Zbl 1082.35025 Prat, Alain; Li, Yue-Xian; Bressloff, Paul 9 2005 Diffusion of protein receptors on a cylindrical dendritic membrane with partially absorbing traps. Zbl 1146.92005 Bressloff, Paul C.; Earnshaw, Berton A.; Ward, Michael J. 9 2008 Path-integral methods for analyzing the effects of fluctuations in stochastic hybrid neural networks. Zbl 1361.92005 Bressloff, Paul C. 9 2015 Dynamically active compartments coupled by a stochastically gated gap junction. Zbl 1379.35332 Bressloff, Paul C.; Lawley, Sean D. 8 2017 Directed intermittent search with stochastic resetting. Zbl 1514.82154 Bressloff, Paul C. 8 2020 Stochastic synchronization of neuronal populations with intrinsic and extrinsic noise. Zbl 1259.92004 Bressloff, Paul C; Lai, Yi Ming 8 2011 Solitary waves in a model of dendritic cable with active spines. Zbl 1016.92004 Coombes, S.; Bressloff, P. C. 7 2000 Dynamics of a compartmental model integrate-and-fire neuron with somatic potential reset. Zbl 0885.65155 Bressloff, Paul C. 7 1995 Aggregation-fragmentation model of vesicular transport in neurons. Zbl 1342.92039 Bressloff, Paul C. 7 2016 Model of reversible vesicular transport with exclusion. Zbl 1348.92032 Bressloff, Paul C.; Karamched, Bhargav R. 7 2016 Diffusive search for a stochastically-gated target with resetting. Zbl 1519.60095 Bressloff, Paul C. 7 2020 Compartmental-model response function for dendritic trees. Zbl 0800.92034 Bressloff, Paul C.; Taylor, John G. 6 1993 From invasion to extinction in heterogeneous neural fields. Zbl 1291.92024 Bressloff, Paul C. 6 2012 Euclidean shift-twist symmetry in population models of self-aligning objects. Zbl 1051.92002 Bressloff, Paul C. 6 2004 A PDE-DDE model for cell polarization in fission yeast. Zbl 1346.92024 Xu, Bin; Bressloff, Paul C. 6 2016 A mechanism for Turing pattern formation with active and passive transport. Zbl 1347.92012 Brooks, Heather A.; Bressloff, Paul C. 6 2016 Switching diffusions and stochastic resetting. Zbl 1519.60094 Bressloff, Paul C. 6 2020 Accumulation time of stochastic processes with resetting. Zbl 1505.82043 Bressloff, Paul C. 6 2021 Wandering bumps in a stochastic neural field: a variational approach. Zbl 1493.92005 MacLaurin, James N.; Bressloff, Paul C. 6 2020 A developmental model of ocular dominance column formation on a growing cortex. Zbl 1334.92043 Oster, Andrew M.; Bressloff, Paul C. 5 2006 Residence times of a Brownian particle with temporal heterogeneity. Zbl 1374.60158 Bressloff, Paul C.; Lawley, Sean D. 5 2017 Neural field model of binocular rivalry waves. Zbl 1446.92034 Bressloff, Paul C.; Webber, Matthew A. 5 2012 The effects of noise on binocular rivalry waves: a stochastic neural field model. Zbl 1456.92039 Webber, Matthew A.; Bressloff, Paul C. 5 2013 Asymptotic analysis of target fluxes in the three-dimensional narrow capture problem. Zbl 1465.35027 Bressloff, Paul C. 5 2021 Synchronization of stochastic hybrid oscillators driven by a common switching environment. Zbl 1404.34072 Bressloff, Paul C.; MacLaurin, James 5 2018 A ‘sum-over-paths’ approach to diffusion on stress. Zbl 0902.60063 Bressloff, Paul C.; Dwyer, V. M.; Kearney, M. J. 4 1996 A stochastic hybrid framework for obtaining statistics of many random walkers in a switching environment. Zbl 1356.35264 Levien, Ethan; Bressloff, Paul C. 4 2016 Lectures in mathematical neuroscience. Zbl 1352.92024 Bressloff, Paul C. 4 2009 Stochastic active-transport model of cell polarization. Zbl 1346.92022 Bressloff, Paul C.; Xu, Bin 4 2015 Node-to-node and node-to-medium synchronization in quorum sensing networks affected by state-dependent noise. Zbl 1432.93314 Fan, Gaoyang; Russo, Giovanni; Bressloff, Paul C. 4 2019 Encounter-based model of a run-and-tumble particle. Zbl 07632714 Bressloff, Paul C. 4 2022 A variational method for analyzing limit cycle oscillations in stochastic hybrid systems. Zbl 1394.92049 Bressloff, Paul C.; MacLaurin, James 4 2018 Drift-diffusion on a Cayley tree with stochastic resetting: the localization-delocalization transition. Zbl 07382823 Bressloff, Paul C. 4 2021 Resonantlike synchronization and bursting in a model of pulse-coupled neurons with active dendrites. Zbl 0926.92007 Bressloff, Paul C. 3 1999 Iterated function systems and their applications. Zbl 0827.28006 Stark, J.; Bressloff, P. 3 1993 Stochastic dynamics of reinforcement learning. Zbl 0839.68081 Bressloff, P. C. 3 1995 Spontaneous pattern formation in primary visual cortex. Zbl 1132.92309 Bressloff, Paul C.; Cowan, Jack D. 3 2003 Analysis of associative reinforcement learning in neural networks using iterated function systems. Zbl 0776.92002 Bressloff, Paul C.; Stark, Jaroslav 3 1992 On balance relations for irreversible chemical reaction networks. Zbl 1432.82018 Levien, Ethan; Bressloff, Paul C. 3 2017 Population model of quorum sensing with multiple parallel pathways. Zbl 1382.92125 Fan, Gaoyang; Bressloff, Paul C. 3 2017 Phase equation for patterns of orientation selectivity in a neural field model of visual cortex. Zbl 1343.92079 Carroll, Samuel R.; Bressloff, Paul C. 3 2016 Effects of cell geometry on reversible vesicular transport. Zbl 1357.92023 Karamched, Bhargav R.; Bressloff, Paul C. 3 2017 Propagation of extrinsic fluctuations in biochemical birth-death processes. Zbl 1415.92079 Bressloff, P. C.; Levien, E. 3 2019 Stochastic processes in cell biology. Volume I. 2nd edition. Zbl 1482.92001 Bressloff, Paul C. 3 2021 Coherent spin states and stochastic hybrid path integrals. Zbl 07356466 Bressloff, Paul C. 3 2021 Effective permeability of a gap junction with age-structured switching. Zbl 1431.92041 Bressloff, Paul C.; Lawley, Sean D.; Murphy, Patrick 3 2020 Diffusion in a partially absorbing medium with position and occupation time resetting. Zbl 07565683 Bressloff, Paul C. 3 2022 Stochastic hybrid systems in cellular neuroscience. Zbl 1405.92037 Bressloff, Paul C.; Maclaurin, James N. 3 2018 Exact travlling wavelling wave solutions of an ”intgrablegrable” discrete reaction-diffusion equation. Zbl 0943.37036 Bressloff, 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 0939.68774 Bressloff, P. C. 2 1994 Symmetric bifurcations in a neural field model for encoding the direction of spatial contrast gradients. Zbl 1385.92012 Carroll, Samuel R.; Bressloff, Paul C. 2 2018 Two-state representations of three-state neural networks. Zbl 0727.68103 Stark, Jaroslav; Bressloff, Paul 2 1990 Spatiotemporal dynamics of neural fields on product spaces. Zbl 1322.92007 Bressloff, Paul C.; Carroll, Samuel R. 2 2014 Propagation of CaMKII translocation waves in heterogeneous spiny dendrites. Zbl 1402.92075 Bressloff, Paul C. 2 2013 Direct vs. synaptic coupling in a mathematical model of cytoneme-based morphogen gradient formation. Zbl 1398.92030 Kim, Hyunjoong; Bressloff, Paul C. 2 2018 Stochastic neural field theory of wandering bumps on a sphere. Zbl 1453.35173 Bressloff, Paul C. 2 2019 A numerical method for solving snapping out Brownian motion in 2D bounded domains. Zbl 07748065 Schumm, Ryan D.; Bressloff, Paul C. 2 2023 A numerical method for solving snapping out Brownian motion in 2D bounded domains. Zbl 07748065 Schumm, Ryan D.; Bressloff, Paul C. 2 2023 Encounter-based model of a run-and-tumble particle II: Absorption at sticky boundaries. Zbl 07688974 Bressloff, Paul C. 2 2023 The 3D narrow capture problem for traps with semipermeable interfaces. Zbl 1526.35024 Bressloff, Paul C. 1 2023 Renewal equations for single-particle diffusion in multilayered media. Zbl 1520.60044 Bressloff, Paul C. 1 2023 Diffusion-mediated absorption by partially-reactive targets: Brownian functionals and generalized propagators. Zbl 1506.60085 Bressloff, Paul C. 15 2022 Diffusion-mediated surface reactions and stochastic resetting. Zbl 1507.60102 Bressloff, Paul C. 11 2022 Encounter-based model of a run-and-tumble particle. Zbl 07632714 Bressloff, Paul C. 4 2022 Diffusion in a partially absorbing medium with position and occupation time resetting. Zbl 07565683 Bressloff, Paul C. 3 2022 Stochastic processes in cell biology. Volume II. 2nd edition. Zbl 1481.92001 Bressloff, Paul C. 2 2022 The narrow capture problem with partially absorbing targets and stochastic resetting. Zbl 1496.35034 Bressloff, Paul C.; Schumm, Ryan D. 2 2022 Accumulation times for diffusion-mediated surface reactions. Zbl 1517.82033 Bressloff, Paul C. 1 2022 Search processes with stochastic resetting and partially absorbing targets. Zbl 1519.60099 Schumm, Ryan D.; Bressloff, Paul C. 11 2021 Accumulation time of stochastic processes with resetting. Zbl 1505.82043 Bressloff, Paul C. 6 2021 Asymptotic analysis of target fluxes in the three-dimensional narrow capture problem. Zbl 1465.35027 Bressloff, Paul C. 5 2021 Drift-diffusion on a Cayley tree with stochastic resetting: the localization-delocalization transition. Zbl 07382823 Bressloff, Paul C. 4 2021 Stochastic processes in cell biology. Volume I. 2nd edition. Zbl 1482.92001 Bressloff, Paul C. 3 2021 Coherent spin states and stochastic hybrid path integrals. Zbl 07356466 Bressloff, Paul C. 3 2021 Construction of stochastic hybrid path integrals using operator methods. Zbl 1519.81377 Bressloff, Paul C. 1 2021 Modeling active cellular transport as a directed search process with stochastic resetting and delays. Zbl 1519.92062 Bressloff, Paul C. 14 2020 Target competition for resources under multiple search-and-capture events with stochastic resetting. Zbl 1472.60149 Bressloff, P. C. 11 2020 Directed intermittent search with stochastic resetting. Zbl 1514.82154 Bressloff, Paul C. 8 2020 Diffusive search for a stochastically-gated target with resetting. Zbl 1519.60095 Bressloff, Paul C. 7 2020 Switching diffusions and stochastic resetting. Zbl 1519.60094 Bressloff, Paul C. 6 2020 Wandering bumps in a stochastic neural field: a variational approach. Zbl 1493.92005 MacLaurin, James N.; Bressloff, Paul C. 6 2020 Effective permeability of a gap junction with age-structured switching. Zbl 1431.92041 Bressloff, Paul C.; Lawley, Sean D.; Murphy, Patrick 3 2020 Phase reduction of stochastic biochemical oscillators. Zbl 1433.92015 Bressloff, Paul C.; MacLaurin, James N. 1 2020 Node-to-node and node-to-medium synchronization in quorum sensing networks affected by state-dependent noise. Zbl 1432.93314 Fan, Gaoyang; Russo, Giovanni; Bressloff, Paul C. 4 2019 Propagation of extrinsic fluctuations in biochemical birth-death processes. Zbl 1415.92079 Bressloff, P. C.; Levien, E. 3 2019 Stochastic neural field theory of wandering bumps on a sphere. Zbl 1453.35173 Bressloff, Paul C. 2 2019 Modeling the role of feedback in the adaptive response of bacterial quorum sensing. Zbl 1415.92071 Fan, Gaoyang; Bressloff, Paul C. 1 2019 A variational method for analyzing stochastic limit cycle oscillators. Zbl 1409.60101 Bressloff, Paul C.; MacLaurin, James N. 15 2018 Synchronization of stochastic hybrid oscillators driven by a common switching environment. Zbl 1404.34072 Bressloff, Paul C.; MacLaurin, James 5 2018 A variational method for analyzing limit cycle oscillations in stochastic hybrid systems. Zbl 1394.92049 Bressloff, Paul C.; MacLaurin, James 4 2018 Stochastic hybrid systems in cellular neuroscience. Zbl 1405.92037 Bressloff, Paul C.; Maclaurin, James N. 3 2018 Symmetric bifurcations in a neural field model for encoding the direction of spatial contrast gradients. Zbl 1385.92012 Carroll, Samuel R.; Bressloff, Paul C. 2 2018 Direct vs. synaptic coupling in a mathematical model of cytoneme-based morphogen gradient formation. Zbl 1398.92030 Kim, Hyunjoong; Bressloff, Paul C. 2 2018 Doubly stochastic Poisson model of flagellar length control. Zbl 1459.82222 Bressloff, Paul C.; Karamched, Bhargav R. 1 2018 Diffusion in an age-structured randomly switching environment. Zbl 1400.92426 Bressloff, Paul C.; Lawley, Sean D.; Murphy, Patrick 1 2018 Robustness of stochastic chemical reaction networks to extrinsic noise: the role of deficiency. Zbl 1400.92211 Levien, Ethan; Bressloff, Paul C. 1 2018 Stochastic switching in biology: from genotype to phenotype. Zbl 1360.92042 Bressloff, Paul C. 28 2017 On the Hamiltonian structure of large deviations in stochastic hybrid systems. Zbl 1457.82190 Bressloff, Paul C.; Faugeras, Olivier 10 2017 Dynamically active compartments coupled by a stochastically gated gap junction. Zbl 1379.35332 Bressloff, Paul C.; Lawley, Sean D. 8 2017 Residence times of a Brownian particle with temporal heterogeneity. Zbl 1374.60158 Bressloff, Paul C.; Lawley, Sean D. 5 2017 On balance relations for irreversible chemical reaction networks. Zbl 1432.82018 Levien, Ethan; Bressloff, Paul C. 3 2017 Population model of quorum sensing with multiple parallel pathways. Zbl 1382.92125 Fan, Gaoyang; Bressloff, Paul C. 3 2017 Effects of cell geometry on reversible vesicular transport. Zbl 1357.92023 Karamched, Bhargav R.; Bressloff, Paul C. 3 2017 A theory of synchrony for active compartments with delays coupled through bulk diffusion. Zbl 1384.92032 Xu, Bin; Bressloff, Paul C. 1 2017 Coupling sample paths to the thermodynamic limit in Monte Carlo estimators with applications to gene expression. Zbl 1378.65023 Levien, Ethan; Bressloff, Paul C. 1 2017 Mean first passage times for piecewise deterministic Markov processes and the effects of critical points. Zbl 1456.60184 Bressloff, Paul C.; Lawley, Sean D. 1 2017 Diffusion in cells with stochastically gated gap junctions. Zbl 1351.82056 Bressloff, Paul C. 18 2016 Diffusion on a tree with stochastically gated nodes. Zbl 1342.92073 Bressloff, Paul C.; Lawley, Sean D. 13 2016 Aggregation-fragmentation model of vesicular transport in neurons. Zbl 1342.92039 Bressloff, Paul C. 7 2016 Model of reversible vesicular transport with exclusion. Zbl 1348.92032 Bressloff, Paul C.; Karamched, Bhargav R. 7 2016 A PDE-DDE model for cell polarization in fission yeast. Zbl 1346.92024 Xu, Bin; Bressloff, Paul C. 6 2016 A mechanism for Turing pattern formation with active and passive transport. Zbl 1347.92012 Brooks, Heather A.; Bressloff, Paul C. 6 2016 A stochastic hybrid framework for obtaining statistics of many random walkers in a switching environment. Zbl 1356.35264 Levien, Ethan; Bressloff, Paul C. 4 2016 Phase equation for patterns of orientation selectivity in a neural field model of visual cortex. Zbl 1343.92079 Carroll, Samuel R.; Bressloff, Paul C. 3 2016 Stochastic network models in neuroscience: a Festschrift for Jack Cowan. Introduction to the special issue. Zbl 1352.00032 1 2016 Escape from subcellular domains with randomly switching boundaries. Zbl 1329.82092 Bressloff, Paul C.; Lawley, Sean D. 25 2015 Moment equations for a piecewise deterministic PDE. Zbl 1339.60078 Bressloff, Paul C.; Lawley, Sean D. 23 2015 Escape from a potential well with a randomly switching boundary. Zbl 1405.34050 Bressloff, Paul C.; Lawley, Sean D. 16 2015 Nonlinear Langevin equations for wandering patterns in stochastic neural fields. Zbl 1402.92076 Bressloff, Paul C.; Kilpatrick, Zachary P. 14 2015 Path-integral methods for analyzing the effects of fluctuations in stochastic hybrid neural networks. Zbl 1361.92005 Bressloff, Paul C. 9 2015 Stochastic active-transport model of cell polarization. Zbl 1346.92022 Bressloff, Paul C.; Xu, Bin 4 2015 Stochastic processes in cell biology. Zbl 1402.92001 Bressloff, Paul C. 83 2014 Waves in neural media. From single neurons to neural fields. Zbl 1296.92005 Bressloff, Paul C. 26 2014 Spatiotemporal dynamics of neural fields on product spaces. Zbl 1322.92007 Bressloff, Paul C.; Carroll, Samuel R. 2 2014 Binocular rivalry waves in a directionally selective neural field model. Zbl 1349.91240 Carroll, Samuel R.; Bressloff, Paul C. 1 2014 Metastability in a stochastic neural network modeled as a velocity jump Markov process. Zbl 1278.92005 Bressloff, Paul C.; Newby, Jay M. 20 2013 The effects of noise on binocular rivalry waves: a stochastic neural field model. Zbl 1456.92039 Webber, Matthew A.; Bressloff, Paul C. 5 2013 Propagation of CaMKII translocation waves in heterogeneous spiny dendrites. Zbl 1402.92075 Bressloff, Paul C. 2 2013 Dispersal and noise: various modes of synchrony in ecological oscillators. Zbl 1279.92084 Bressloff, Paul C.; Lai, Yi Ming 1 2013 Spatiotemporal dynamics of continuum neural fields. Zbl 1263.92008 Bressloff, Paul C. 124 2012 Front propagation in stochastic neural fields. Zbl 1246.92004 Bressloff, Paul C.; Webber, Matthew A. 33 2012 From invasion to extinction in heterogeneous neural fields. Zbl 1291.92024 Bressloff, Paul C. 6 2012 Neural field model of binocular rivalry waves. Zbl 1446.92034 Bressloff, Paul C.; Webber, Matthew A. 5 2012 Hebbian learning of recurrent connections: a geometrical perspective. Zbl 1269.92005 Galtier, Mathieu N.; Faugeras, Olivier D.; Bressloff, Paul C. 2 2012 Two-dimensional bumps in piecewise smooth neural fields with synaptic depression. Zbl 1221.92017 Bressloff, Paul C.; Kilpatrick, Zachary P. 15 2011 Stochastic synchronization of neuronal populations with intrinsic and extrinsic noise. Zbl 1259.92004 Bressloff, Paul C; Lai, Yi Ming 8 2011 Quasi-steady state reduction of molecular motor-based models of directed intermittent search. Zbl 1203.92006 Newby, Jay M.; Bressloff, Paul C. 26 2010 Effects of synaptic depression and adaptation on spatiotemporal dynamics of an excitatory neuronal network. Zbl 1186.92010 Kilpatrick, Zachary P.; Bressloff, Paul C. 24 2010 Binocular rivalry in a competitive neural network with synaptic depression. Zbl 1202.92013 Kilpatrick, Zachary P.; Bressloff, Paul C. 11 2010 Stability of bumps in piecewise smooth neural fields with nonlinear adaptation. Zbl 1189.37027 Kilpatrick, Zachary P.; Bressloff, Paul C. 10 2010 Stochastic neural field theory and the system-size expansion. Zbl 1198.92007 Bressloff, Paul C. 44 2009 Lectures in mathematical neuroscience. Zbl 1352.92024 Bressloff, Paul C. 4 2009 Traveling pulses and wave propagation failure in inhomogeneous neural media. Zbl 1159.92010 Kilpatrick, Zachary P.; Folias, Stefanos E.; Bressloff, Paul C. 24 2008 Diffusion of protein receptors on a cylindrical dendritic membrane with partially absorbing traps. Zbl 1146.92005 Bressloff, Paul C.; Earnshaw, Berton A.; Ward, Michael J. 9 2008 A developmental model of ocular dominance column formation on a growing cortex. Zbl 1334.92043 Oster, Andrew M.; Bressloff, Paul C. 5 2006 Stimulus-locked traveling waves and breathers in an excitatory neural network. Zbl 1076.92004 Folias, Stefanos E.; Bressloff, Paul C. 29 2005 Bursting. The genesis of rhythm in the nervous system. Zbl 1094.92500 29 2005 Weakly interacting pulses in synaptically coupled neural media. Zbl 1091.92013 Bressloff, Paul C. 11 2005 Spontaneous symmetry breaking in self-organizing neural fields. Zbl 1129.92010 Bressloff, Paul C. 10 2005 Inhomogeneity-induced bifurcation of stationary and oscillatory pulses. Zbl 1082.35025 Prat, Alain; Li, Yue-Xian; Bressloff, Paul 9 2005 Breathing pulses in an excitatory neural network. Zbl 1058.92010 Folias, Stefanos E.; Bressloff, Paul C. 49 2004 Front bifurcations in an excitatory neural network. Zbl 1071.92003 Bressloff, Paul C.; Folias, Stefanos E. 17 2004 Euclidean shift-twist symmetry in population models of self-aligning objects. Zbl 1051.92002 Bressloff, Paul C. 6 2004 Epilepsy as a dynamic disease. Zbl 1058.92027 24 2003 Spatially periodic modulation of cortical patterns by long-range horizontal connections. Zbl 1030.92006 Bressloff, Paul C. 17 2003 Spontaneous pattern formation in primary visual cortex. Zbl 1132.92309 Bressloff, Paul C.; Cowan, Jack D. 3 2003 What geometric visual hallucinations tell us about the visual cortex. Zbl 1037.91083 Bressloff, Paul C.; Cowan, Jack D.; Golubitsky, Martin; Thomas, Peter J.; Wiener, Matthew C. 28 2002 ...and 29 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 956 Authors 81 Bressloff, Paul C. 24 Lawley, Sean D. 20 Coombes, Stephen 18 Kilpatrick, Zachary P. 13 Wyller, John A. 12 Laing, Carlo R. 12 MacLaurin, James N. 11 Faugeras, Olivier D. 9 Faye, Grégory 9 Hupkes, Hermen Jan 9 Hutt, Axel 9 Ward, Michael J. 8 Kühn, Christian 8 Robinson, Peter A. 6 Bokes, Pavol 6 Duan, Jinqiao 6 Ermentrout, Bard G. 6 Majumdar, Satya N. 6 Oleynik, Anna 6 Sarti, Alessandro 5 Avitabile, Daniele 5 Chossat, Pascal 5 Citti, Giovanna 5 Grebenkov, Denis S. 5 Keener, James P. 5 Kurths, Jürgen 5 Longtin, André 5 Ponosov, Arkadiĭ Vladimirovich 5 Thomas, Peter J. 5 Touboul, Jonathan David 5 Wilson, Dan D. 4 Amari, Shun-ichi 4 beim Graben, Peter 4 Burlakov, Evgenii O. 4 Campbell, Sue Ann 4 Chaillet, Antoine 4 Chen, Yiju 4 Cowan, Jack D. 4 Einevoll, Gaute T. 4 Ermentrout, George Bard 4 Hamster, C. H. S. 4 Lai, Yi Ming 4 Levien, Ethan 4 Lewis, Mark Alun 4 Li, Yuexian 4 Lima, Pedro Miguel 4 Miles, Christopher E. 4 Pal, Arnab 4 Poll, Daniel B. 4 Potthast, Roland W. E. 4 Reuveni, Shlomi 4 Schouten-Straatman, Willem M. 4 Thul, Rüdiger 4 Xu, Bin 4 Zhang, Linghai 3 Bertalmío, Marcelo 3 Carroll, Samuel R. 3 de Vries, Gerda 3 Detorakis, Georgios Is. 3 Drysdale, P. M. 3 Dumont, Grégory 3 Filbet, Francis 3 Fung, C. C. Alan 3 Giuggioli, Luca 3 González-Ramírez, Laura Rocio 3 Gou, Jia 3 Holcman, David 3 Horikawa, Yo 3 Huang, Zhehao 3 Jaramillo, Gabriela 3 Josić, Krešimir 3 Karamched, Bhargav R. 3 Kofané, Timoléon Crépin 3 Kolodina, Karina 3 Kolokolnikov, Theodore 3 Kulikov, Gennady Yur’evich 3 Li, Xiaofan 3 Liu, Zhengrong 3 Lord, Gabriel James 3 Meshkat, Nicolette 3 Murphy, Patrick 3 Nishiura, Yasumasa 3 Reed, Michael C. 3 Rougier, Nicolas P. 3 Rubin, Jonathan E. 3 Schehr, Grégory 3 Schmidt, Helmut 3 Schumm, Ryan D. 3 Stannat, Wilhelm 3 van Albada, S. J. 3 Veltz, Romain 3 Wei, Juncheng 2 Agathe-Nerine, Zoé 2 Ahn, Sungwoo 2 Ashwin, Peter 2 Baccelli, François Louis 2 Barreiro, Andrea K. 2 Blaustein, Alain 2 Blomquist, Patrick 2 Bojak, Ingo ...and 856 more Authors all top 5 Cited in 129 Serials 58 Physica D 53 Journal of Physics A: Mathematical and Theoretical 35 Journal of Mathematical Biology 34 The Journal of Mathematical Neuroscience 33 SIAM Journal on Applied Dynamical Systems 25 Bulletin of Mathematical Biology 25 SIAM Journal on Applied Mathematics 24 Biological Cybernetics 24 Chaos 23 Journal of Computational Neuroscience 15 Neural Computation 15 Journal of Statistical Mechanics: Theory and Experiment 13 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 13 Journal of Theoretical Biology 12 Multiscale Modeling & Simulation 11 Discrete and Continuous Dynamical Systems. Series B 10 Communications in Nonlinear Science and Numerical Simulation 9 Journal of Nonlinear Science 7 Journal of Statistical Physics 7 Mathematical Biosciences 7 Physica A 7 Chaos, Solitons and Fractals 7 Neural Networks 6 Journal of Mathematical Analysis and Applications 5 Nonlinearity 5 Journal of Differential Equations 5 SIAM Journal on Mathematical Analysis 5 Stochastic Processes and their Applications 4 Applied Mathematics and Computation 4 Japan Journal of Industrial and Applied Mathematics 4 SIAM Review 4 Mathematical Biosciences and Engineering 3 Computers & Mathematics with Applications 3 Communications in Mathematical Physics 3 Journal of Computational Physics 3 European Journal of Applied Mathematics 3 The Annals of Applied Probability 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Journal of Mathematical Imaging and Vision 3 Nonlinear Dynamics 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Stochastics and Dynamics 3 Mathematical Modelling of Natural Phenomena 3 Vestnik Rossiĭskikh Universitetov. Matematika 2 Communications on Pure and Applied Mathematics 2 Journal of the Franklin Institute 2 Journal of Mathematical Physics 2 Mathematical Methods in the Applied Sciences 2 Journal of Computational and Applied Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Acta Applicandae Mathematicae 2 Journal of Scientific Computing 2 Journal of Dynamics and Differential Equations 2 Dynamical Systems 2 Communications on Pure and Applied Analysis 2 Stochastics 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 2 Russian Journal of Nonlinear Dynamics 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 Letters in Mathematical Physics 1 Mathematical Notes 1 Physics Reports 1 Ukrainian Mathematical Journal 1 Advances in Mathematics 1 Applied Mathematics and Optimization 1 Automatica 1 BIT 1 Journal of the London Mathematical Society. Second Series 1 Journal of Multivariate Analysis 1 Mathematics and Computers in Simulation 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 SIAM Journal on Numerical Analysis 1 Studies in Applied Mathematics 1 Advances in Applied Mathematics 1 Applied Numerical Mathematics 1 Journal of Complexity 1 Computational Mechanics 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Annals of Operations Research 1 Applied Mathematical Modelling 1 European Journal of Operational Research 1 Proceedings of the National Academy of Sciences of the United States of America 1 Theory of Probability and Mathematical Statistics 1 Journal of Mathematical Sciences (New York) 1 Electronic Journal of Differential Equations (EJDE) 1 International Journal of Computer Vision 1 NoDEA. Nonlinear Differential Equations and Applications 1 Journal of Difference Equations and Applications 1 Electronic Journal of Probability 1 Bernoulli 1 Discrete and Continuous Dynamical Systems 1 Computing and Visualization in Science 1 Differential Equations and Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations ...and 29 more Serials all top 5 Cited in 43 Fields 438 Biology and other natural sciences (92-XX) 197 Partial differential equations (35-XX) 195 Probability theory and stochastic processes (60-XX) 90 Dynamical systems and ergodic theory (37-XX) 89 Ordinary differential equations (34-XX) 82 Statistical mechanics, structure of matter (82-XX) 58 Integral equations (45-XX) 47 Numerical analysis (65-XX) 28 Systems theory; control (93-XX) 22 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 18 Computer science (68-XX) 13 Quantum theory (81-XX) 11 Combinatorics (05-XX) 11 Operator theory (47-XX) 11 Statistics (62-XX) 9 Mechanics of particles and systems (70-XX) 9 Operations research, mathematical programming (90-XX) 8 Fluid mechanics (76-XX) 5 Functional analysis (46-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 General and overarching topics; collections (00-XX) 4 Approximations and expansions (41-XX) 4 Integral transforms, operational calculus (44-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Mechanics of deformable solids (74-XX) 3 Information and communication theory, circuits (94-XX) 2 Real functions (26-XX) 2 Difference and functional equations (39-XX) 2 Geophysics (86-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) 1 Mathematics education (97-XX) Citations by Year