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## Bressloff, Paul C.

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 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)

#### Citations contained in zbMATH

93 Publications have been cited 775 times in 426 Documents Cited by Year
Spatiotemporal dynamics of continuum neural fields. Zbl 1263.92008
Bressloff, Paul C.
2012
Stochastic processes in cell biology. Zbl 1402.92001
Bressloff, Paul C.
2014
Breathing pulses in an excitatory neural network. Zbl 1058.92010
Folias, Stefanos E.; Bressloff, Paul C.
2004
Traveling fronts and wave propagation failure in an inhomogeneous neural network. Zbl 1004.92005
Bressloff, Paul C.
2001
Stochastic neural field theory and the system-size expansion. Zbl 1198.92007
Bressloff, Paul C.
2009
Front propagation in stochastic neural fields. Zbl 1246.92004
Bressloff, Paul C.; Webber, Matthew A.
2012
Bursting. The genesis of rhythm in the nervous system. Zbl 1094.92500
Coombes, Stephen (ed.); Bressloff, Paul C. (ed.)
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.
2002
Escape from subcellular domains with randomly switching boundaries. Zbl 1329.82092
Bressloff, Paul C.; Lawley, Sean D.
2015
Effects of synaptic depression and adaptation on spatiotemporal dynamics of an excitatory neuronal network. Zbl 1186.92010
Kilpatrick, Zachary P.; Bressloff, Paul C.
2010
Traveling pulses and wave propagation failure in inhomogeneous neural media. Zbl 1159.92010
Kilpatrick, Zachary P.; Folias, Stefanos E.; Bressloff, Paul C.
2008
Stimulus-locked traveling waves and breathers in an excitatory neural network. Zbl 1076.92004
Folias, Stefanos E.; Bressloff, Paul C.
2005
Moment equations for a piecewise deterministic PDE. Zbl 1339.60078
Bressloff, Paul C.; Lawley, Sean D.
2015
Quasi-steady state reduction of molecular motor-based models of directed intermittent search. Zbl 1203.92006
Newby, Jay M.; Bressloff, Paul C.
2010
Metastability in a stochastic neural network modeled as a velocity jump Markov process. Zbl 1278.92005
Bressloff, Paul C.; Newby, Jay M.
2013
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.
2001
Escape from a potential well with a randomly switching boundary. Zbl 1405.34050
Bressloff, Paul C.; Lawley, Sean D.
2015
Front bifurcations in an excitatory neural network. Zbl 1071.92003
Bressloff, Paul C.; Folias, Stefanos E.
2004
Spatially periodic modulation of cortical patterns by long-range horizontal connections. Zbl 1030.92006
Bressloff, Paul C.
2003
Diffusion in cells with stochastically gated gap junctions. Zbl 1351.82056
Bressloff, Paul C.
2016
Waves in neural media. From single neurons to neural fields. Zbl 1296.92005
Bressloff, Paul C.
2014
Two-dimensional bumps in piecewise smooth neural fields with synaptic depression. Zbl 1221.92017
Bressloff, Paul C.; Kilpatrick, Zachary P.
2011
Symmetry and phase-locking in a ring of pulse-coupled oscillators with distributed delays. Zbl 0937.34060
Bressloff, P. C.; Coombes, S.
1999
Stochastic switching in biology: from genotype to phenotype. Zbl 1360.92042
Bressloff, Paul C.
2017
Diffusion on a tree with stochastically gated nodes. Zbl 1342.92073
Bressloff, Paul C.; Lawley, Sean D.
2016
Binocular rivalry in a competitive neural network with synaptic depression. Zbl 1202.92013
Kilpatrick, Zachary P.; Bressloff, Paul C.
2010
Spontaneous symmetry breaking in self-organizing neural fields. Zbl 1129.92010
Bressloff, Paul C.
2005
Weakly interacting pulses in synaptically coupled neural media. Zbl 1091.92013
Bressloff, Paul C.
2005
Travelling waves in chains of pulse-coupled integrate-and-fire oscillators with distributed delays. Zbl 0934.34057
Bressloff, P. C.; Coombes, S.
1999
Nonlinear Langevin equations for wandering patterns in stochastic neural fields. Zbl 1402.92076
Bressloff, Paul C.; Kilpatrick, Zachary P.
2015
The visual cortex as a crystal. Zbl 1017.92009
Bressloff, Paul C.; Cowan, Jack D.
2002
An amplitude equation approach to contextual effects in visual cortex. Zbl 0987.92005
Bressloff, Paul C.; Cowan, Jack D.
2002
Path-integral methods for analyzing the effects of fluctuations in stochastic hybrid neural networks. Zbl 1361.92005
Bressloff, Paul C.
2015
Stability of bumps in piecewise smooth neural fields with nonlinear adaptation. Zbl 1189.37027
Kilpatrick, Zachary P.; Bressloff, Paul C.
2010
Traveling waves and pulses in a one-dimensional network of excitable integrate-and-fire neurons. Zbl 0952.92007
Bressloff, Paul C.
2000
A dynamical theory of spike train transitions in networks of integrate-and-fire oscillators. Zbl 0947.34022
Bressloff, P. C.; Coombes, S.
2000
Inhomogeneity-induced bifurcation of stationary and oscillatory pulses. Zbl 1082.35025
Prat, Alain; Li, Yue-Xian; Bressloff, Paul
2005
Solitary waves in a model of dendritic cable with active spines. Zbl 1016.92004
Coombes, S.; Bressloff, P. C.
2000
Dynamics of a compartmental model integrate-and-fire neuron with somatic potential reset. Zbl 0885.65155
Bressloff, Paul C.
1995
Dynamically active compartments coupled by a stochastically gated gap junction. Zbl 1379.35332
Bressloff, Paul C.; Lawley, Sean D.
2017
Stochastic synchronization of neuronal populations with intrinsic and extrinsic noise. Zbl 1259.92004
Bressloff, Paul C; Lai, Yi Ming
2011
A developmental model of ocular dominance column formation on a growing cortex. Zbl 1334.92043
Oster, Andrew M.; Bressloff, Paul C.
2006
Euclidean shift-twist symmetry in population models of self-aligning objects. Zbl 1051.92002
Bressloff, Paul C.
2004
A variational method for analyzing stochastic limit cycle oscillators. Zbl 1409.60101
Bressloff, Paul C.; MacLaurin, James N.
2018
A PDE-DDE model for cell polarization in fission yeast. Zbl 1346.92024
Xu, Bin; Bressloff, Paul C.
2016
Aggregation-fragmentation model of vesicular transport in neurons. Zbl 1342.92039
Bressloff, Paul C.
2016
A stochastic hybrid framework for obtaining statistics of many random walkers in a switching environment. Zbl 1356.35264
Levien, Ethan; Bressloff, Paul C.
2016
Model of reversible vesicular transport with exclusion. Zbl 1348.92032
Bressloff, Paul C.; Karamched, Bhargav R.
2016
From invasion to extinction in heterogeneous neural fields. Zbl 1291.92024
Bressloff, Paul C.
2012
Lectures in mathematical neuroscience. Zbl 1352.92024
Bressloff, Paul C.
2009
Spontaneous pattern formation in primary visual cortex. Zbl 1132.92309
Bressloff, Paul C.; Cowan, Jack D.
2003
Resonantlike synchronization and bursting in a model of pulse-coupled neurons with active dendrites. Zbl 0926.92007
Bressloff, Paul C.
1999
A ‘sum-over-paths’ approach to diffusion on stress. Zbl 0902.60063
Bressloff, Paul C.; Dwyer, V. M.; Kearney, M. J.
1996
Stochastic dynamics of reinforcement learning. Zbl 0839.68081
Bressloff, P. C.
1995
Iterated function systems and their applications. Zbl 0827.28006
Stark, J.; Bressloff, P.
1993
Compartmental-model response function for dendritic trees. Zbl 0800.92034
Bressloff, Paul C.; Taylor, John G.
1993
Analysis of associative reinforcement learning in neural networks using iterated function systems. Zbl 0776.92002
Bressloff, Paul C.; Stark, Jaroslav
1992
Synchronization of stochastic hybrid oscillators driven by a common switching environment. Zbl 1404.34072
Bressloff, Paul C.; MacLaurin, James
2018
A variational method for analyzing limit cycle oscillations in stochastic hybrid systems. Zbl 1394.92049
Bressloff, Paul C.; MacLaurin, James
2018
Population model of quorum sensing with multiple parallel pathways. Zbl 1382.92125
Fan, Gaoyang; Bressloff, Paul C.
2017
On balance relations for irreversible chemical reaction networks. Zbl 1432.82018
Levien, Ethan; Bressloff, Paul C.
2017
Residence times of a Brownian particle with temporal heterogeneity. Zbl 1374.60158
Bressloff, Paul C.; Lawley, Sean D.
2017
A mechanism for Turing pattern formation with active and passive transport. Zbl 1347.92012
Brooks, Heather A.; Bressloff, Paul C.
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.
2016
Stochastic active-transport model of cell polarization. Zbl 1346.92022
Bressloff, Paul C.; Xu, Bin
2015
Spatiotemporal dynamics of neural fields on product spaces. Zbl 1322.92007
Bressloff, Paul C.; Carroll, Samuel R.
2014
Propagation of CaMKII translocation waves in heterogeneous spiny dendrites. Zbl 1402.92075
Bressloff, Paul C.
2013
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.
2008
Exact travlling wavelling wave solutions of an ”intgrablegrable” discrete reaction-diffusion equation. Zbl 0943.37036
Bressloff, P. C.; Rowlands, G.
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.
1994
Two-state representations of three-state neural networks. Zbl 0727.68103
Stark, Jaroslav; Bressloff, Paul
1990
Effective permeability of a gap junction with age-structured switching. Zbl 1431.92041
Bressloff, Paul C.; Lawley, Sean D.; Murphy, Patrick
2020
Propagation of extrinsic fluctuations in biochemical birth-death processes. Zbl 1415.92079
Bressloff, P. C.; Levien, E.
2019
Stochastic hybrid systems in cellular neuroscience. Zbl 1405.92037
Bressloff, Paul C.; Maclaurin, James N.
2018
Diffusion in an age-structured randomly switching environment. Zbl 1400.92426
Bressloff, Paul C.; Lawley, Sean D.; Murphy, Patrick
2018
Robustness of stochastic chemical reaction networks to extrinsic noise: the role of deficiency. Zbl 1400.92211
Levien, Ethan; Bressloff, Paul C.
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.
2018
On the Hamiltonian structure of large deviations in stochastic hybrid systems. Zbl 07232403
Bressloff, Paul C.; Faugeras, Olivier
2017
A theory of synchrony for active compartments with delays coupled through bulk diffusion. Zbl 1384.92032
Xu, Bin; Bressloff, Paul C.
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.
2017
Effects of cell geometry on reversible vesicular transport. Zbl 1357.92023
Karamched, Bhargav R.; Bressloff, Paul C.
2017
Binocular rivalry waves in a directionally selective neural field model. Zbl 1349.91240
Carroll, Samuel R.; Bressloff, Paul C.
2014
Dispersal and noise: various modes of synchrony in ecological oscillators. Zbl 1279.92084
Bressloff, Paul C.; Lai, Yi Ming
2013
Hebbian learning of recurrent connections: a geometrical perspective. Zbl 1269.92005
Galtier, Mathieu N.; Faugeras, Olivier D.; Bressloff, Paul C.
2012
Random intermittent search and the tug-of-war model of motor-driven transport. Zbl 07230181
Newby, Jay; Bressloff, Paul C.
2010
A new spectral transform for solving the continuous and spatially discrete heat equations on simple trees. Zbl 0932.35033
Bressloff, P. C.; Fokas, A. S.
1999
A new Green’s function method for solving linear PDE’s in two variables. Zbl 0881.65092
Bressloff, Paul C.
1997
Average firing rate of a neural network with dynamical disorder. Zbl 0839.68080
Bressloff, Paul C.
1995
Dynamics of compartmental model neurons. Zbl 0812.92004
Bressloff, Paul C.; Taylor, John G.
1994
Time-summating network approach. Zbl 0800.92058
Bressloff, Paul C.
1993
Temporal processing in neural networks with adaptive short term memory: A compartmental model approach. Zbl 0772.92001
Bressloff, Paul C.
1993
Low firing-rates in a compartmental model neuron. Zbl 0771.92006
Bressloff, Paul C.; Taylor, John G.
1993
Perceptron-like learning in time-summating neural networks. Zbl 0764.92004
Bressloff, Paul C.; Taylor, John G.
1992
Effective permeability of a gap junction with age-structured switching. Zbl 1431.92041
Bressloff, Paul C.; Lawley, Sean D.; Murphy, Patrick
2020
Propagation of extrinsic fluctuations in biochemical birth-death processes. Zbl 1415.92079
Bressloff, P. C.; Levien, E.
2019
A variational method for analyzing stochastic limit cycle oscillators. Zbl 1409.60101
Bressloff, Paul C.; MacLaurin, James N.
2018
Synchronization of stochastic hybrid oscillators driven by a common switching environment. Zbl 1404.34072
Bressloff, Paul C.; MacLaurin, James
2018
A variational method for analyzing limit cycle oscillations in stochastic hybrid systems. Zbl 1394.92049
Bressloff, Paul C.; MacLaurin, James
2018
Stochastic hybrid systems in cellular neuroscience. Zbl 1405.92037
Bressloff, Paul C.; Maclaurin, James N.
2018
Diffusion in an age-structured randomly switching environment. Zbl 1400.92426
Bressloff, Paul C.; Lawley, Sean D.; Murphy, Patrick
2018
Robustness of stochastic chemical reaction networks to extrinsic noise: the role of deficiency. Zbl 1400.92211
Levien, Ethan; Bressloff, Paul C.
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.
2018
Stochastic switching in biology: from genotype to phenotype. Zbl 1360.92042
Bressloff, Paul C.
2017
Dynamically active compartments coupled by a stochastically gated gap junction. Zbl 1379.35332
Bressloff, Paul C.; Lawley, Sean D.
2017
Population model of quorum sensing with multiple parallel pathways. Zbl 1382.92125
Fan, Gaoyang; Bressloff, Paul C.
2017
On balance relations for irreversible chemical reaction networks. Zbl 1432.82018
Levien, Ethan; Bressloff, Paul C.
2017
Residence times of a Brownian particle with temporal heterogeneity. Zbl 1374.60158
Bressloff, Paul C.; Lawley, Sean D.
2017
On the Hamiltonian structure of large deviations in stochastic hybrid systems. Zbl 07232403
Bressloff, Paul C.; Faugeras, Olivier
2017
A theory of synchrony for active compartments with delays coupled through bulk diffusion. Zbl 1384.92032
Xu, Bin; Bressloff, Paul C.
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.
2017
Effects of cell geometry on reversible vesicular transport. Zbl 1357.92023
Karamched, Bhargav R.; Bressloff, Paul C.
2017
Diffusion in cells with stochastically gated gap junctions. Zbl 1351.82056
Bressloff, Paul C.
2016
Diffusion on a tree with stochastically gated nodes. Zbl 1342.92073
Bressloff, Paul C.; Lawley, Sean D.
2016
A PDE-DDE model for cell polarization in fission yeast. Zbl 1346.92024
Xu, Bin; Bressloff, Paul C.
2016
Aggregation-fragmentation model of vesicular transport in neurons. Zbl 1342.92039
Bressloff, Paul C.
2016
A stochastic hybrid framework for obtaining statistics of many random walkers in a switching environment. Zbl 1356.35264
Levien, Ethan; Bressloff, Paul C.
2016
Model of reversible vesicular transport with exclusion. Zbl 1348.92032
Bressloff, Paul C.; Karamched, Bhargav R.
2016
A mechanism for Turing pattern formation with active and passive transport. Zbl 1347.92012
Brooks, Heather A.; Bressloff, Paul C.
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.
2016
Escape from subcellular domains with randomly switching boundaries. Zbl 1329.82092
Bressloff, Paul C.; Lawley, Sean D.
2015
Moment equations for a piecewise deterministic PDE. Zbl 1339.60078
Bressloff, Paul C.; Lawley, Sean D.
2015
Escape from a potential well with a randomly switching boundary. Zbl 1405.34050
Bressloff, Paul C.; Lawley, Sean D.
2015
Nonlinear Langevin equations for wandering patterns in stochastic neural fields. Zbl 1402.92076
Bressloff, Paul C.; Kilpatrick, Zachary P.
2015
Path-integral methods for analyzing the effects of fluctuations in stochastic hybrid neural networks. Zbl 1361.92005
Bressloff, Paul C.
2015
Stochastic active-transport model of cell polarization. Zbl 1346.92022
Bressloff, Paul C.; Xu, Bin
2015
Stochastic processes in cell biology. Zbl 1402.92001
Bressloff, Paul C.
2014
Waves in neural media. From single neurons to neural fields. Zbl 1296.92005
Bressloff, Paul C.
2014
Spatiotemporal dynamics of neural fields on product spaces. Zbl 1322.92007
Bressloff, Paul C.; Carroll, Samuel R.
2014
Binocular rivalry waves in a directionally selective neural field model. Zbl 1349.91240
Carroll, Samuel R.; Bressloff, Paul C.
2014
Metastability in a stochastic neural network modeled as a velocity jump Markov process. Zbl 1278.92005
Bressloff, Paul C.; Newby, Jay M.
2013
Propagation of CaMKII translocation waves in heterogeneous spiny dendrites. Zbl 1402.92075
Bressloff, Paul C.
2013
Dispersal and noise: various modes of synchrony in ecological oscillators. Zbl 1279.92084
Bressloff, Paul C.; Lai, Yi Ming
2013
Spatiotemporal dynamics of continuum neural fields. Zbl 1263.92008
Bressloff, Paul C.
2012
Front propagation in stochastic neural fields. Zbl 1246.92004
Bressloff, Paul C.; Webber, Matthew A.
2012
From invasion to extinction in heterogeneous neural fields. Zbl 1291.92024
Bressloff, Paul C.
2012
Hebbian learning of recurrent connections: a geometrical perspective. Zbl 1269.92005
Galtier, Mathieu N.; Faugeras, Olivier D.; Bressloff, Paul C.
2012
Two-dimensional bumps in piecewise smooth neural fields with synaptic depression. Zbl 1221.92017
Bressloff, Paul C.; Kilpatrick, Zachary P.
2011
Stochastic synchronization of neuronal populations with intrinsic and extrinsic noise. Zbl 1259.92004
Bressloff, Paul C; Lai, Yi Ming
2011
Effects of synaptic depression and adaptation on spatiotemporal dynamics of an excitatory neuronal network. Zbl 1186.92010
Kilpatrick, Zachary P.; Bressloff, Paul C.
2010
Quasi-steady state reduction of molecular motor-based models of directed intermittent search. Zbl 1203.92006
Newby, Jay M.; Bressloff, Paul C.
2010
Binocular rivalry in a competitive neural network with synaptic depression. Zbl 1202.92013
Kilpatrick, Zachary P.; Bressloff, Paul C.
2010
Stability of bumps in piecewise smooth neural fields with nonlinear adaptation. Zbl 1189.37027
Kilpatrick, Zachary P.; Bressloff, Paul C.
2010
Random intermittent search and the tug-of-war model of motor-driven transport. Zbl 07230181
Newby, Jay; Bressloff, Paul C.
2010
Stochastic neural field theory and the system-size expansion. Zbl 1198.92007
Bressloff, Paul C.
2009
Lectures in mathematical neuroscience. Zbl 1352.92024
Bressloff, Paul C.
2009
Traveling pulses and wave propagation failure in inhomogeneous neural media. Zbl 1159.92010
Kilpatrick, Zachary P.; Folias, Stefanos E.; Bressloff, Paul C.
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.
2008
A developmental model of ocular dominance column formation on a growing cortex. Zbl 1334.92043
Oster, Andrew M.; Bressloff, Paul C.
2006
Bursting. The genesis of rhythm in the nervous system. Zbl 1094.92500
Coombes, Stephen (ed.); Bressloff, Paul C. (ed.)
2005
Stimulus-locked traveling waves and breathers in an excitatory neural network. Zbl 1076.92004
Folias, Stefanos E.; Bressloff, Paul C.
2005
Spontaneous symmetry breaking in self-organizing neural fields. Zbl 1129.92010
Bressloff, Paul C.
2005
Weakly interacting pulses in synaptically coupled neural media. Zbl 1091.92013
Bressloff, Paul C.
2005
Inhomogeneity-induced bifurcation of stationary and oscillatory pulses. Zbl 1082.35025
Prat, Alain; Li, Yue-Xian; Bressloff, Paul
2005
Breathing pulses in an excitatory neural network. Zbl 1058.92010
Folias, Stefanos E.; Bressloff, Paul C.
2004
Front bifurcations in an excitatory neural network. Zbl 1071.92003
Bressloff, Paul C.; Folias, Stefanos E.
2004
Euclidean shift-twist symmetry in population models of self-aligning objects. Zbl 1051.92002
Bressloff, Paul C.
2004
Spatially periodic modulation of cortical patterns by long-range horizontal connections. Zbl 1030.92006
Bressloff, Paul C.
2003
Spontaneous pattern formation in primary visual cortex. Zbl 1132.92309
Bressloff, Paul C.; Cowan, Jack D.
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.
2002
The visual cortex as a crystal. Zbl 1017.92009
Bressloff, Paul C.; Cowan, Jack D.
2002
An amplitude equation approach to contextual effects in visual cortex. Zbl 0987.92005
Bressloff, Paul C.; Cowan, Jack D.
2002
Traveling fronts and wave propagation failure in an inhomogeneous neural network. Zbl 1004.92005
Bressloff, Paul C.
2001
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.
2001
Traveling waves and pulses in a one-dimensional network of excitable integrate-and-fire neurons. Zbl 0952.92007
Bressloff, Paul C.
2000
A dynamical theory of spike train transitions in networks of integrate-and-fire oscillators. Zbl 0947.34022
Bressloff, P. C.; Coombes, S.
2000
Solitary waves in a model of dendritic cable with active spines. Zbl 1016.92004
Coombes, S.; Bressloff, P. C.
2000
Symmetry and phase-locking in a ring of pulse-coupled oscillators with distributed delays. Zbl 0937.34060
Bressloff, P. C.; Coombes, S.
1999
Travelling waves in chains of pulse-coupled integrate-and-fire oscillators with distributed delays. Zbl 0934.34057
Bressloff, P. C.; Coombes, S.
1999
Resonantlike synchronization and bursting in a model of pulse-coupled neurons with active dendrites. Zbl 0926.92007
Bressloff, Paul C.
1999
A new spectral transform for solving the continuous and spatially discrete heat equations on simple trees. Zbl 0932.35033
Bressloff, P. C.; Fokas, A. S.
1999
Exact travlling wavelling wave solutions of an ”intgrablegrable” discrete reaction-diffusion equation. Zbl 0943.37036
Bressloff, P. C.; Rowlands, G.
1997
A new Green’s function method for solving linear PDE’s in two variables. Zbl 0881.65092
Bressloff, Paul C.
1997
A ‘sum-over-paths’ approach to diffusion on stress. Zbl 0902.60063
Bressloff, Paul C.; Dwyer, V. M.; Kearney, M. J.
1996
Dynamics of a compartmental model integrate-and-fire neuron with somatic potential reset. Zbl 0885.65155
Bressloff, Paul C.
1995
Stochastic dynamics of reinforcement learning. Zbl 0839.68081
Bressloff, P. C.
1995
Average firing rate of a neural network with dynamical disorder. Zbl 0839.68080
Bressloff, Paul C.
1995
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.
1994
Dynamics of compartmental model neurons. Zbl 0812.92004
Bressloff, Paul C.; Taylor, John G.
1994
Iterated function systems and their applications. Zbl 0827.28006
Stark, J.; Bressloff, P.
1993
Compartmental-model response function for dendritic trees. Zbl 0800.92034
Bressloff, Paul C.; Taylor, John G.
1993
Time-summating network approach. Zbl 0800.92058
Bressloff, Paul C.
1993
Temporal processing in neural networks with adaptive short term memory: A compartmental model approach. Zbl 0772.92001
Bressloff, Paul C.
1993
Low firing-rates in a compartmental model neuron. Zbl 0771.92006
Bressloff, Paul C.; Taylor, John G.
1993
Analysis of associative reinforcement learning in neural networks using iterated function systems. Zbl 0776.92002
Bressloff, Paul C.; Stark, Jaroslav
1992
Perceptron-like learning in time-summating neural networks. Zbl 0764.92004
Bressloff, Paul C.; Taylor, John G.
1992
Two-state representations of three-state neural networks. Zbl 0727.68103
Stark, Jaroslav; Bressloff, Paul
1990
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#### 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
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#### 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
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#### 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)