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Author ID: bressloff.paul-c Recent zbMATH articles by "Bressloff, Paul C."
Published as: Bressloff, Paul C.; Bressloff, P. C.; Bressloff, Paul; Bressloff, Paul C; Bressloff, P.

Publications by Year

Citations contained in zbMATH Open

102 Publications have been cited 968 times in 513 Documents Cited by Year
Spatiotemporal dynamics of continuum neural fields. Zbl 1263.92008
Bressloff, Paul C.
93
2012
Stochastic processes in cell biology. Zbl 1402.92001
Bressloff, Paul C.
64
2014
Breathing pulses in an excitatory neural network. Zbl 1058.92010
Folias, Stefanos E.; Bressloff, Paul C.
44
2004
Stochastic neural field theory and the system-size expansion. Zbl 1198.92007
Bressloff, Paul C.
38
2009
Traveling fronts and wave propagation failure in an inhomogeneous neural network. Zbl 1004.92005
Bressloff, Paul C.
37
2001
Front propagation in stochastic neural fields. Zbl 1246.92004
Bressloff, Paul C.; Webber, Matthew A.
31
2012
Stimulus-locked traveling waves and breathers in an excitatory neural network. Zbl 1076.92004
Folias, Stefanos E.; Bressloff, Paul C.
23
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.
23
2002
Bursting. The genesis of rhythm in the nervous system. Zbl 1094.92500
22
2005
Traveling pulses and wave propagation failure in inhomogeneous neural media. Zbl 1159.92010
Kilpatrick, Zachary P.; Folias, Stefanos E.; Bressloff, Paul C.
22
2008
Escape from subcellular domains with randomly switching boundaries. Zbl 1329.82092
Bressloff, Paul C.; Lawley, Sean D.
22
2015
Effects of synaptic depression and adaptation on spatiotemporal dynamics of an excitatory neuronal network. Zbl 1186.92010
Kilpatrick, Zachary P.; Bressloff, Paul C.
22
2010
Moment equations for a piecewise deterministic PDE. Zbl 1339.60078
Bressloff, Paul C.; Lawley, Sean D.
22
2015
Stochastic switching in biology: from genotype to phenotype. Zbl 1360.92042
Bressloff, Paul C.
21
2017
Quasi-steady state reduction of molecular motor-based models of directed intermittent search. Zbl 1203.92006
Newby, Jay M.; Bressloff, Paul C.
20
2010
Epilepsy as a dynamic disease. Zbl 1058.92027
19
2003
Metastability in a stochastic neural network modeled as a velocity jump Markov process. Zbl 1278.92005
Bressloff, Paul C.; Newby, Jay M.
18
2013
Waves in neural media. From single neurons to neural fields. Zbl 1296.92005
Bressloff, Paul C.
18
2014
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
Spatially periodic modulation of cortical patterns by long-range horizontal connections. Zbl 1030.92006
Bressloff, Paul C.
15
2003
Symmetry and phase-locking in a ring of pulse-coupled oscillators with distributed delays. Zbl 0937.34060
Bressloff, P. C.; Coombes, S.
14
1999
Front bifurcations in an excitatory neural network. Zbl 1071.92003
Bressloff, Paul C.; Folias, Stefanos E.
14
2004
Escape from a potential well with a randomly switching boundary. Zbl 1405.34050
Bressloff, Paul C.; Lawley, Sean D.
14
2015
Two-dimensional bumps in piecewise smooth neural fields with synaptic depression. Zbl 1221.92017
Bressloff, Paul C.; Kilpatrick, Zachary P.
14
2011
Diffusion in cells with stochastically gated gap junctions. Zbl 1351.82056
Bressloff, Paul C.
13
2016
An amplitude equation approach to contextual effects in visual cortex. Zbl 0987.92005
Bressloff, Paul C.; Cowan, Jack D.
12
2002
Diffusion on a tree with stochastically gated nodes. Zbl 1342.92073
Bressloff, Paul C.; Lawley, Sean D.
12
2016
Nonlinear Langevin equations for wandering patterns in stochastic neural fields. Zbl 1402.92076
Bressloff, Paul C.; Kilpatrick, Zachary P.
12
2015
Weakly interacting pulses in synaptically coupled neural media. Zbl 1091.92013
Bressloff, Paul C.
11
2005
Binocular rivalry in a competitive neural network with synaptic depression. Zbl 1202.92013
Kilpatrick, Zachary P.; Bressloff, Paul C.
11
2010
The visual cortex as a crystal. Zbl 1017.92009
Bressloff, Paul C.; Cowan, Jack D.
10
2002
Travelling waves in chains of pulse-coupled integrate-and-fire oscillators with distributed delays. Zbl 0934.34057
Bressloff, P. C.; Coombes, S.
10
1999
Spontaneous symmetry breaking in self-organizing neural fields. Zbl 1129.92010
Bressloff, Paul C.
10
2005
A dynamical theory of spike train transitions in networks of integrate-and-fire oscillators. Zbl 0947.34022
Bressloff, P. C.; Coombes, S.
9
2000
Stability of bumps in piecewise smooth neural fields with nonlinear adaptation. Zbl 1189.37027
Kilpatrick, Zachary P.; Bressloff, Paul C.
9
2010
Path-integral methods for analyzing the effects of fluctuations in stochastic hybrid neural networks. Zbl 1361.92005
Bressloff, Paul C.
9
2015
A variational method for analyzing stochastic limit cycle oscillators. Zbl 1409.60101
Bressloff, Paul C.; MacLaurin, James N.
8
2018
Traveling waves and pulses in a one-dimensional network of excitable integrate-and-fire neurons. Zbl 0952.92007
Bressloff, Paul C.
8
2000
Dynamically active compartments coupled by a stochastically gated gap junction. Zbl 1379.35332
Bressloff, Paul C.; Lawley, Sean D.
7
2017
Dynamics of a compartmental model integrate-and-fire neuron with somatic potential reset. Zbl 0885.65155
Bressloff, Paul C.
7
1995
Inhomogeneity-induced bifurcation of stationary and oscillatory pulses. Zbl 1082.35025
Prat, Alain; Li, Yue-Xian; Bressloff, Paul
7
2005
Solitary waves in a model of dendritic cable with active spines. Zbl 1016.92004
Coombes, S.; Bressloff, P. C.
7
2000
Stochastic synchronization of neuronal populations with intrinsic and extrinsic noise. Zbl 1259.92004
Bressloff, Paul C; Lai, Yi Ming
7
2011
Euclidean shift-twist symmetry in population models of self-aligning objects. Zbl 1051.92002
Bressloff, Paul C.
6
2004
From invasion to extinction in heterogeneous neural fields. Zbl 1291.92024
Bressloff, Paul C.
6
2012
Synchronization of stochastic hybrid oscillators driven by a common switching environment. Zbl 1404.34072
Bressloff, Paul C.; MacLaurin, James
5
2018
Compartmental-model response function for dendritic trees. Zbl 0800.92034
Bressloff, Paul C.; Taylor, John G.
5
1993
Aggregation-fragmentation model of vesicular transport in neurons. Zbl 1342.92039
Bressloff, Paul C.
5
2016
A PDE-DDE model for cell polarization in fission yeast. Zbl 1346.92024
Xu, Bin; Bressloff, Paul C.
5
2016
A developmental model of ocular dominance column formation on a growing cortex. Zbl 1334.92043
Oster, Andrew M.; Bressloff, Paul C.
5
2006
On the Hamiltonian structure of large deviations in stochastic hybrid systems. Zbl 1457.82190
Bressloff, Paul C.; Faugeras, Olivier
4
2017
Model of reversible vesicular transport with exclusion. Zbl 1348.92032
Bressloff, Paul C.; Karamched, Bhargav R.
4
2016
A mechanism for Turing pattern formation with active and passive transport. Zbl 1347.92012
Brooks, Heather A.; Bressloff, Paul C.
4
2016
Stochastic active-transport model of cell polarization. Zbl 1346.92022
Bressloff, Paul C.; Xu, Bin
4
2015
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
Residence times of a Brownian particle with temporal heterogeneity. Zbl 1374.60158
Bressloff, Paul C.; Lawley, Sean D.
4
2017
Population model of quorum sensing with multiple parallel pathways. Zbl 1382.92125
Fan, Gaoyang; Bressloff, Paul C.
3
2017
A variational method for analyzing limit cycle oscillations in stochastic hybrid systems. Zbl 1394.92049
Bressloff, Paul C.; MacLaurin, James
3
2018
Iterated function systems and their applications. Zbl 0827.28006
Stark, J.; Bressloff, P.
3
1993
On balance relations for irreversible chemical reaction networks. Zbl 1432.82018
Levien, Ethan; Bressloff, Paul C.
3
2017
Analysis of associative reinforcement learning in neural networks using iterated function systems. Zbl 0776.92002
Bressloff, Paul C.; Stark, Jaroslav
3
1992
A ‘sum-over-paths’ approach to diffusion on stress. Zbl 0902.60063
Bressloff, Paul C.; Dwyer, V. M.; Kearney, M. J.
3
1996
Resonantlike synchronization and bursting in a model of pulse-coupled neurons with active dendrites. Zbl 0926.92007
Bressloff, Paul C.
3
1999
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
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.
3
2008
Effective permeability of a gap junction with age-structured switching. Zbl 1431.92041
Bressloff, Paul C.; Lawley, Sean D.; Murphy, Patrick
3
2020
Lectures in mathematical neuroscience. Zbl 1352.92024
Bressloff, Paul C.
3
2009
Propagation of extrinsic fluctuations in biochemical birth-death processes. Zbl 1415.92079
Bressloff, P. C.; Levien, E.
2
2019
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 hybrid systems in cellular neuroscience. Zbl 1405.92037
Bressloff, Paul C.; Maclaurin, James N.
2
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
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
Spatiotemporal dynamics of neural fields on product spaces. Zbl 1322.92007
Bressloff, Paul C.; Carroll, Samuel R.
2
2014
Two-state representations of three-state neural networks. Zbl 0727.68103
Stark, Jaroslav; Bressloff, Paul
2
1990
Effects of cell geometry on reversible vesicular transport. Zbl 1357.92023
Karamched, Bhargav R.; Bressloff, Paul C.
2
2017
Propagation of CaMKII translocation waves in heterogeneous spiny dendrites. Zbl 1402.92075
Bressloff, Paul C.
2
2013
Phase equation for patterns of orientation selectivity in a neural field model of visual cortex. Zbl 1343.92079
Carroll, Samuel R.; Bressloff, Paul C.
2
2016
Hebbian learning of recurrent connections: a geometrical perspective. Zbl 1269.92005
Galtier, Mathieu N.; Faugeras, Olivier D.; Bressloff, Paul C.
2
2012
Neural field model of binocular rivalry waves. Zbl 1446.92034
Bressloff, Paul C.; Webber, Matthew A.
1
2012
Diffusion in an age-structured randomly switching environment. Zbl 1400.92426
Bressloff, Paul C.; Lawley, Sean D.; Murphy, Patrick
1
2018
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
Dynamics of compartmental model neurons. Zbl 0812.92004
Bressloff, Paul C.; Taylor, John G.
1
1994
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
Doubly stochastic Poisson model of flagellar length control. Zbl 1459.82222
Bressloff, Paul C.; Karamched, Bhargav R.
1
2018
A theory of synchrony for active compartments with delays coupled through bulk diffusion. Zbl 1384.92032
Xu, Bin; Bressloff, Paul C.
1
2017
Robustness of stochastic chemical reaction networks to extrinsic noise: the role of deficiency. Zbl 1400.92211
Levien, Ethan; Bressloff, Paul C.
1
2018
Perceptron-like learning in time-summating neural networks. Zbl 0764.92004
Bressloff, Paul C.; Taylor, John G.
1
1992
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.
1
1999
Classical localization for the drift-diffusion equation on a Cayley tree. Zbl 0905.35039
Bressloff, Paul C.; Dwyer, Vincent M.; Kearney, Michael J.
1
1996
Neural pattern formation in networks with dendritic structure. Zbl 0935.92009
Bressloff, P. C.; De Souza, B.
1
1998
Temporal processing in neural networks with adaptive short term memory: A compartmental model approach. Zbl 0772.92001
Bressloff, Paul C.
1
1993
Low firing-rates in a compartmental model neuron. Zbl 0771.92006
Bressloff, Paul C.; Taylor, John G.
1
1993
Average firing rate of a neural network with dynamical disorder. Zbl 0839.68080
Bressloff, Paul C.
1
1995
A new Green’s function method for solving linear PDE’s in two variables. Zbl 0881.65092
Bressloff, Paul C.
1
1997
Modeling the role of feedback in the adaptive response of bacterial quorum sensing. Zbl 1415.92071
Fan, Gaoyang; Bressloff, Paul C.
1
2019
Binocular rivalry waves in a directionally selective neural field model. Zbl 1349.91240
Carroll, Samuel R.; Bressloff, Paul C.
1
2014
Phase reduction of stochastic biochemical oscillators. Zbl 1433.92015
Bressloff, Paul C.; MacLaurin, James N.
1
2020
Dispersal and noise: various modes of synchrony in ecological oscillators. Zbl 1279.92084
Bressloff, Paul C.; Lai, Yi Ming
1
2013
Coherent spin states and stochastic hybrid path integrals. Zbl 07356466
Bressloff, Paul C.
1
2021
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
Propagation of extrinsic fluctuations in biochemical birth-death processes. Zbl 1415.92079
Bressloff, P. C.; Levien, E.
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
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.
1
2019
A variational method for analyzing stochastic limit cycle oscillators. Zbl 1409.60101
Bressloff, Paul C.; MacLaurin, James N.
8
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
3
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
Stochastic hybrid systems in cellular neuroscience. Zbl 1405.92037
Bressloff, Paul C.; Maclaurin, James N.
2
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
Diffusion in an age-structured randomly switching environment. Zbl 1400.92426
Bressloff, Paul C.; Lawley, Sean D.; Murphy, Patrick
1
2018
Doubly stochastic Poisson model of flagellar length control. Zbl 1459.82222
Bressloff, Paul C.; Karamched, Bhargav R.
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.
21
2017
Dynamically active compartments coupled by a stochastically gated gap junction. Zbl 1379.35332
Bressloff, Paul C.; Lawley, Sean D.
7
2017
On the Hamiltonian structure of large deviations in stochastic hybrid systems. Zbl 1457.82190
Bressloff, Paul C.; Faugeras, Olivier
4
2017
Residence times of a Brownian particle with temporal heterogeneity. Zbl 1374.60158
Bressloff, Paul C.; Lawley, Sean D.
4
2017
Population model of quorum sensing with multiple parallel pathways. Zbl 1382.92125
Fan, Gaoyang; Bressloff, Paul C.
3
2017
On balance relations for irreversible chemical reaction networks. Zbl 1432.82018
Levien, Ethan; Bressloff, Paul C.
3
2017
Effects of cell geometry on reversible vesicular transport. Zbl 1357.92023
Karamched, Bhargav R.; Bressloff, Paul C.
2
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
A theory of synchrony for active compartments with delays coupled through bulk diffusion. Zbl 1384.92032
Xu, Bin; Bressloff, Paul C.
1
2017
Diffusion in cells with stochastically gated gap junctions. Zbl 1351.82056
Bressloff, Paul C.
13
2016
Diffusion on a tree with stochastically gated nodes. Zbl 1342.92073
Bressloff, Paul C.; Lawley, Sean D.
12
2016
Aggregation-fragmentation model of vesicular transport in neurons. Zbl 1342.92039
Bressloff, Paul C.
5
2016
A PDE-DDE model for cell polarization in fission yeast. Zbl 1346.92024
Xu, Bin; Bressloff, Paul C.
5
2016
Model of reversible vesicular transport with exclusion. Zbl 1348.92032
Bressloff, Paul C.; Karamched, Bhargav R.
4
2016
A mechanism for Turing pattern formation with active and passive transport. Zbl 1347.92012
Brooks, Heather A.; Bressloff, Paul C.
4
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.
2
2016
Escape from subcellular domains with randomly switching boundaries. Zbl 1329.82092
Bressloff, Paul C.; Lawley, Sean D.
22
2015
Moment equations for a piecewise deterministic PDE. Zbl 1339.60078
Bressloff, Paul C.; Lawley, Sean D.
22
2015
Escape from a potential well with a randomly switching boundary. Zbl 1405.34050
Bressloff, Paul C.; Lawley, Sean D.
14
2015
Nonlinear Langevin equations for wandering patterns in stochastic neural fields. Zbl 1402.92076
Bressloff, Paul C.; Kilpatrick, Zachary P.
12
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.
64
2014
Waves in neural media. From single neurons to neural fields. Zbl 1296.92005
Bressloff, Paul C.
18
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.
18
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.
93
2012
Front propagation in stochastic neural fields. Zbl 1246.92004
Bressloff, Paul C.; Webber, Matthew A.
31
2012
From invasion to extinction in heterogeneous neural fields. Zbl 1291.92024
Bressloff, Paul C.
6
2012
Hebbian learning of recurrent connections: a geometrical perspective. Zbl 1269.92005
Galtier, Mathieu N.; Faugeras, Olivier D.; Bressloff, Paul C.
2
2012
Neural field model of binocular rivalry waves. Zbl 1446.92034
Bressloff, Paul C.; Webber, Matthew A.
1
2012
Two-dimensional bumps in piecewise smooth neural fields with synaptic depression. Zbl 1221.92017
Bressloff, Paul C.; Kilpatrick, Zachary P.
14
2011
Stochastic synchronization of neuronal populations with intrinsic and extrinsic noise. Zbl 1259.92004
Bressloff, Paul C; Lai, Yi Ming
7
2011
Effects of synaptic depression and adaptation on spatiotemporal dynamics of an excitatory neuronal network. Zbl 1186.92010
Kilpatrick, Zachary P.; Bressloff, Paul C.
22
2010
Quasi-steady state reduction of molecular motor-based models of directed intermittent search. Zbl 1203.92006
Newby, Jay M.; Bressloff, Paul C.
20
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.
9
2010
Stochastic neural field theory and the system-size expansion. Zbl 1198.92007
Bressloff, Paul C.
38
2009
Lectures in mathematical neuroscience. Zbl 1352.92024
Bressloff, Paul C.
3
2009
Traveling pulses and wave propagation failure in inhomogeneous neural media. Zbl 1159.92010
Kilpatrick, Zachary P.; Folias, Stefanos E.; Bressloff, Paul C.
22
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.
3
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.
23
2005
Bursting. The genesis of rhythm in the nervous system. Zbl 1094.92500
22
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
7
2005
Breathing pulses in an excitatory neural network. Zbl 1058.92010
Folias, Stefanos E.; Bressloff, Paul C.
44
2004
Front bifurcations in an excitatory neural network. Zbl 1071.92003
Bressloff, Paul C.; Folias, Stefanos E.
14
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
19
2003
Spatially periodic modulation of cortical patterns by long-range horizontal connections. Zbl 1030.92006
Bressloff, Paul C.
15
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.
23
2002
An amplitude equation approach to contextual effects in visual cortex. Zbl 0987.92005
Bressloff, Paul C.; Cowan, Jack D.
12
2002
The visual cortex as a crystal. Zbl 1017.92009
Bressloff, Paul C.; Cowan, Jack D.
10
2002
Traveling fronts and wave propagation failure in an inhomogeneous neural network. Zbl 1004.92005
Bressloff, Paul C.
37
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.
16
2001
A dynamical theory of spike train transitions in networks of integrate-and-fire oscillators. Zbl 0947.34022
Bressloff, P. C.; Coombes, S.
9
2000
Traveling waves and pulses in a one-dimensional network of excitable integrate-and-fire neurons. Zbl 0952.92007
Bressloff, Paul C.
8
2000
Solitary waves in a model of dendritic cable with active spines. Zbl 1016.92004
Coombes, S.; Bressloff, P. C.
7
2000
Symmetry and phase-locking in a ring of pulse-coupled oscillators with distributed delays. Zbl 0937.34060
Bressloff, P. C.; Coombes, S.
14
1999
Travelling waves in chains of pulse-coupled integrate-and-fire oscillators with distributed delays. Zbl 0934.34057
Bressloff, P. C.; Coombes, S.
10
1999
Resonantlike synchronization and bursting in a model of pulse-coupled neurons with active dendrites. Zbl 0926.92007
Bressloff, Paul C.
3
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.
1
1999
Neural pattern formation in networks with dendritic structure. Zbl 0935.92009
Bressloff, P. C.; De Souza, B.
1
1998
Exact travlling wavelling wave solutions of an ”intgrablegrable” discrete reaction-diffusion equation. Zbl 0943.37036
Bressloff, P. C.; Rowlands, G.
2
1997
A new Green’s function method for solving linear PDE’s in two variables. Zbl 0881.65092
Bressloff, Paul C.
1
1997
A ‘sum-over-paths’ approach to diffusion on stress. Zbl 0902.60063
Bressloff, Paul C.; Dwyer, V. M.; Kearney, M. J.
3
1996
Classical localization for the drift-diffusion equation on a Cayley tree. Zbl 0905.35039
Bressloff, Paul C.; Dwyer, Vincent M.; Kearney, Michael J.
1
1996
Dynamics of a compartmental model integrate-and-fire neuron with somatic potential reset. Zbl 0885.65155
Bressloff, Paul C.
7
1995
Stochastic dynamics of reinforcement learning. Zbl 0839.68081
Bressloff, P. C.
3
1995
Average firing rate of a neural network with dynamical disorder. Zbl 0839.68080
Bressloff, Paul C.
1
1995
A Green’s function approach to analysing the effects of random synaptic background activity in a model neural network. Zbl 0939.68774
Bressloff, P. C.
2
1994
Dynamics of compartmental model neurons. Zbl 0812.92004
Bressloff, Paul C.; Taylor, John G.
1
1994
Compartmental-model response function for dendritic trees. Zbl 0800.92034
Bressloff, Paul C.; Taylor, John G.
5
1993
Iterated function systems and their applications. Zbl 0827.28006
Stark, J.; Bressloff, P.
3
1993
Temporal processing in neural networks with adaptive short term memory: A compartmental model approach. Zbl 0772.92001
Bressloff, Paul C.
1
1993
Low firing-rates in a compartmental model neuron. Zbl 0771.92006
Bressloff, Paul C.; Taylor, John G.
1
1993
Analysis of associative reinforcement learning in neural networks using iterated function systems. Zbl 0776.92002
Bressloff, Paul C.; Stark, Jaroslav
3
1992
...and 2 more Documents
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Cited by 751 Authors

57 Bressloff, Paul C.
24 Lawley, Sean D.
20 Coombes, Stephen
16 Kilpatrick, Zachary P.
13 Wyller, John A.
12 Laing, Carlo R.
11 Faugeras, Olivier D.
9 Faye, Grégory
9 Hutt, Axel
9 Ward, Michael J.
8 Hupkes, Hermen Jan
8 MacLaurin, James N.
7 Robinson, Peter A.
6 Duan, Jinqiao
6 Ermentrout, Bard G.
6 Kühn, Christian
6 Oleynik, Anna
6 Sarti, Alessandro
5 Bokes, Pavol
5 Chossat, Pascal
5 Citti, Giovanna
5 Keener, James P.
5 Longtin, André
5 Ponosov, Arkadiĭ Vladimirovich
5 Touboul, Jonathan David
4 beim Graben, Peter
4 Campbell, Sue Ann
4 Chaillet, Antoine
4 Cowan, Jack D.
4 Einevoll, Gaute T.
4 Hamster, C. H. S.
4 Kurths, Jürgen
4 Lai, Yi Ming
4 Levien, Ethan
4 Lewis, Mark Alun
4 Li, Yuexian
4 Miles, Christopher E.
4 Poll, Daniel B.
4 Potthast, Roland W. E.
4 Thul, Rüdiger
4 Wilson, Dan D.
4 Xu, Bin
4 Zhang, Linghai
3 Amari, Shun-ichi
3 Avitabile, Daniele
3 Carroll, Samuel R.
3 de Vries, Gerda
3 Detorakis, Georgios Is.
3 Drysdale, P. M.
3 Dumont, Grégory
3 Fung, C. C. Alan
3 Gou, Jia
3 Horikawa, Yo
3 Huang, Zhehao
3 Karamched, Bhargav R.
3 Kolodina, Karina
3 Kolokolnikov, Theodore
3 Li, Xiaofan
3 Lima, Pedro Miguel
3 Liu, Zhengrong
3 Lord, Gabriel James
3 Murphy, Patrick
3 Reed, Michael C.
3 Rougier, Nicolas P.
3 Rubin, Jonathan E.
3 Schmidt, Helmut
3 Schouten-Straatman, Willem M.
3 Stannat, Wilhelm
3 Thomas, Peter J.
3 van Albada, S. J.
3 Veltz, Romain
2 Ahn, Sungwoo
2 Ashwin, Peter
2 Baccelli, François Louis
2 Barreiro, Andrea K.
2 Bertalmío, Marcelo
2 Blomquist, Patrick
2 Bojak, Ingo
2 Brackley, Chris A.
2 Burlakov, Evgenii O.
2 Cabana, Tanguy
2 Carroll, Sam R.
2 Chen, Xiaoli
2 Cheng, Xiujun
2 Chevallier, Julien
2 Chowdhury, Debashish
2 Ciocanel, Maria-Veronica
2 Crevat, Joachim
2 Edelstein-Keshet, Leah
2 Erlhagen, Wolfram
2 Fan, Gaoyang
2 Fasoli, Diego
2 Favali, Marta
2 Fetecau, Razvan C.
2 Filbet, Francis
2 Friston, Karl J.
2 Glyzin, Sergeĭ D.
2 Golubitsky, Martin A.
2 Gong, Pulin
2 González-Ramírez, Laura Rocio
...and 651 more Authors
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Cited in 106 Serials

55 Physica D
34 The Journal of Mathematical Neuroscience
31 Journal of Mathematical Biology
27 SIAM Journal on Applied Dynamical Systems
23 Bulletin of Mathematical Biology
23 Chaos
22 SIAM Journal on Applied Mathematics
21 Journal of Computational Neuroscience
19 Biological Cybernetics
15 Neural Computation
13 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
11 Journal of Theoretical Biology
9 Journal of Statistical Mechanics: Theory and Experiment
8 Journal of Nonlinear Science
8 Multiscale Modeling & Simulation
7 Mathematical Biosciences
7 Communications in Nonlinear Science and Numerical Simulation
7 Discrete and Continuous Dynamical Systems. Series B
6 Journal of Mathematical Analysis and Applications
6 Neural Networks
5 Nonlinearity
5 Physica A
5 Chaos, Solitons and Fractals
5 Journal of Differential Equations
4 Journal of Statistical Physics
4 Japan Journal of Industrial and Applied Mathematics
4 Stochastic Processes and their Applications
4 Journal of Physics A: Mathematical and Theoretical
3 Communications in Mathematical Physics
3 Applied Mathematics and Computation
3 SIAM Journal on Mathematical Analysis
3 Journal of Mathematical Imaging and Vision
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Mathematical Modelling of Natural Phenomena
2 Computers & Mathematics with Applications
2 Communications on Pure and Applied Mathematics
2 Journal of Computational Physics
2 Journal of Computational and Applied Mathematics
2 Journal of Scientific Computing
2 European Journal of Applied Mathematics
2 The Annals of Applied Probability
2 SIAM Review
2 Journal of Dynamics and Differential Equations
2 Nonlinear Dynamics
2 Dynamical Systems
2 Stochastics and Dynamics
2 Mathematical Biosciences and Engineering
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 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 Physics Reports
1 Ukrainian Mathematical Journal
1 Advances in Mathematics
1 Applied Mathematics and Optimization
1 Automatica
1 BIT
1 Journal of Multivariate Analysis
1 Mathematics and Computers in Simulation
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 Applied Mathematics Letters
1 Mathematical and Computer Modelling
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 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 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 Nonlinear Analysis. Hybrid Systems
1 Electronic Journal of Statistics
1 Advances in Mathematical Physics
1 Probability Surveys
...and 6 more Serials
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Cited in 38 Fields

375 Biology and other natural sciences (92-XX)
151 Partial differential equations (35-XX)
114 Probability theory and stochastic processes (60-XX)
77 Ordinary differential equations (34-XX)
72 Dynamical systems and ergodic theory (37-XX)
52 Integral equations (45-XX)
41 Statistical mechanics, structure of matter (82-XX)
39 Numerical analysis (65-XX)
21 Systems theory; control (93-XX)
18 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
12 Computer science (68-XX)
10 Operator theory (47-XX)
8 Combinatorics (05-XX)
7 Statistics (62-XX)
7 Operations research, mathematical programming (90-XX)
6 Mechanics of particles and systems (70-XX)
4 Functional analysis (46-XX)
4 Fluid mechanics (76-XX)
4 Quantum theory (81-XX)
3 Approximations and expansions (41-XX)
3 Mechanics of deformable solids (74-XX)
3 Classical thermodynamics, heat transfer (80-XX)
3 Information and communication theory, circuits (94-XX)
2 General and overarching topics; collections (00-XX)
2 Real functions (26-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)
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 Special functions (33-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Convex and discrete geometry (52-XX)
1 Optics, electromagnetic theory (78-XX)

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