PUBLICATIONS

  1. P. C. Bressloff. Stochastic neural field theory and the system-size expansion. Submitted (2009).
  2. B. A. Earnshaw and P. C. Bressloff. Diffusion-activation model of CaMKII translocation waves in dendrites. Submitted (2009).
  3. Z. P. Kilpatrick and P. C. Bressloff. Spatially structured oscillations in a 2d excitatory neuronal network with synaptic depression. Submitted (2009).
  4. Z. P. Kilpatrick and P. C. Bressloff. Effects of synaptic depression and adaptation on spatiatemporal dynamics of an excitatory neuronal network. Submitted (2009).
  5. J. Newby and P. C. Bressloff. Quasi-steady state reduction of molecular-based models of directed intermittent search. Submitted (2009).
  6. P. C. Bressloff. Lectures in Mathematical Neuroscience. PCMI Lecture Series (AMS). In press (2009). pdf
  7. P. C. Bressloff. Cable theory of protein receptor trafficking in a dendritic tree. Phys. Rev. E 79 041904(2009). pdf
  8. P. C. Bressloff and B. A. Earnshaw. A dynamical corral model of protein trafficking in spines. Biophys. J. 96 1786-1802 (2009). pdf
  9. P. C. Bressloff and J. Newby. Directed intermittent search for hidden targets. New J. Phys. 11 023033 (2009). pdf
  10. P. C. Bressloff and Z. P. Kilpatrick. Nonlocal Ginzburg Landau equation for cortical dynamics. Phys. Rev. E 78 041916 (2008). pdf
  11. W. H. Nesse, C. A. DelNegro and P. C. Bressloff. Oscillation regularity in noise-driven excitable systems with multi-timescale adaptation. Phys. Rev. Lett. 101 088101 (2008). pdf
  12. W. H. Nesse, A. Borisyuk and P. C. Bressloff. Fluctuation-driven rhythmogenesis in an excitatory neuronal network with slow adaptation. J. Comput. Neurosci. 25 317-333 (2008). pdf
  13. B. A. Earnshaw and P. C. Bressloff. Modeling the role of lateral membrane diffusion on AMPA receptor trafficking along a spiny dendrite. J. Comput. Neurosci. 25 366-389 (2008). pdf
  14. P. C. Bressloff, B. A. Earnshaw and M. J. Ward. Diffusion of protein receptors on a cylindrical dendritic membrane with partially absorbing traps. SIAM J. Appl. Math. 68 1223-1246 (2008). pdf
  15. Z. P. Kilpatrick, S. E. Folias and P. C. Bressloff. Traveling pulses and wave propagation failure in an inhomogeneous neural network. SIAM J. Appl. Dyn. Syst. 7 161-185 (2008). pdf
  16. J. Icheda, L. Schwabe, P. C. Bressloff and A. Angelucci. Response facilitation from the ``suppressive'' surround of V1 neurons. J. Neurophysiol. 98 2168-2181 (2007).
  17. P. C. Bressloff. Stimulus-induced activity bumps in two-dimensional neural field theory. In: Fluids and Waves - Recent Trends in Applied Analysis. AMS Contemorary Mathematics 440 91-114 (2007).
  18. W. Nesse, G. Clark and P. C. Bressloff. Spike patterning of a stochastic phase model neuron given periodic inhibition. Phys. Rev. E 75: 031912 (2007)
  19. P. C. Bressloff and B. A. Earnshaw. Diffusion-trapping model of receptor trafficking in dendrites. Phys. Rev. E 75: 041916 (2007)
  20. B. A. Earnshaw and P. C. Bressloff, A biophysical model of AMPA receptor trafficking and its regulation during LTP/LTD. J. Neurosci. 26 12362-12373 (2006). pdf
  21. L. Schwabe, K. Obermayer, A. Angelucci and P. C. Bressloff. The role of feedback in shaping the extra-classical receptive field of cortical neurons: a recurrent network model J. Neurosci. 26 9117-9129 (2006). pdf
  22. A. Angelucci and P. C. Bressloff. The contribution of feedforward, lateral and feedback connections to the classical receptive field center and extra-classical receptive field surround of primate V1 neurons Prog. Brain Res. 154 93-121 (2006).
  23. P. C. Bressloff, A stochastic model of intraflagellar transport Phys. Rev. E 73 061916 (2006). pdf
  24. P. C. Bressloff, A stochastic model of protein receptor trafficking prior to synaptogenesis Phys. Rev. E 74 031910 (2006). pdf
  25. A. M. Oster and P. C. Bressloff, A developmental model of ocular dominance formation on a growing cortex Bull. Math. Biol. 68 73-98 (2006). pdf
  26. P. C. Bressloff and S. Coombes (editors). Special issue on neural development. IMA J. Math Med. Biol. 23 77-78 (2006).
  27. S. Coombes and P. C. Bressloff (editors). Bursting: The Genesis of Rhythm in the Nervous System. World Scientific Press (2005).
  28. S. E. Folias and P. C. Bressloff, Breathers in two-dimensional excitable neural media. Phys. Rev. Lett. 95: 208107(2005). pdf
  29. P. C. Bressloff, Spontaneous symmetry breaking in self-organizing neural fields. Biol. Cybern. 93: 256-274 (2005). pdf
  30. P. C. Bressloff, Weakly-interacting pulses in synaptically coupled neural media. SIAM J. Appl. Math. 66: 57-81 (2005). pdf
  31. S. E. Folias and P. C. Bressloff, Stimulus-locked waves and breathers in an excitatory neural network. SIAM J. Appl. Math 65:2067-2092 (2005). pdf
  32. A. Prat, Y-X Li and P. C. Bressloff, Inhomogeneity-induced bifurcation of stationary and oscillatory pulses. Physica D 202: 177-199 (2005).pdf
  33. P. C. Bressloff, Pattern formation in visual cortex. Les Houches Lectures in Neurophysics (2005). ps
  34. S. E. Folias and P. C. Bressloff, Breathing pulses in an excitatory neural network. SIAM J. Appl. Dyn. Syst. 3,: 378-407(2004). pdf
  35. P. C. Bressloff and S. E. Folias, Front bifurcations in an excitatory neural network. SIAM J. Appl. Math. 65: 131-151 (2004). pdf
  36. P. C. Bressloff, Euclidean shift-twist symmetry in population models of self-aligning objects. SIAM J. Appl. Math. 64:1668-1690 (2004). pdf
  37. P. C. Bressloff, S. E. Folias, A. Pratt and Y-X Li, Oscillatory waves in inhomogeneous neural media. Phys. Rev. Lett. 91:178101 (2003). pdf
  38. S. Coombes and P. C. Bressloff, Saltatory waves in the spike-diffuse-spike model of active dendrites. Phys. Rev. Lett. 91:028102 (2003). pdf
  39. M. James, S. Coombes and P. C. Bressloff, Effects of quasiactive membrane on multiply periodic traveling waves in integrate-and-fire systems. Phys. Rev. E 67:051905 (2003). pdf
  40. P. C. Bressloff, Spatially periodic modulation of cortical patterns by long-range horizontal connections. Physica D 185:131-157 (2003). pdf
  41. P. C. Bressloff and J. D. Cowan, The functional geometry of local and long-range connections in a model of V1. J. Physiol. (Paris) (2003). pdf
  42. P. C. Bressloff and J. D. Cowan, Spherical model of orientation and spatial frequency tuning in a cortical hypercolumn. Phil. Trans. Roy. Soc. B 358:1643-1667 (2003). pdf
  43. J. S. Lund, A. Angelucci and P. C. Bressloff, Anatomical substrates for the functional column in macaque primary visual cortex. Cerebral Cortex 12:15-24 (2003). pdf
  44. E. Haskell and P. C. Bressloff, On the formation of persistent states in neuronal networks models of feature selectivity. J. Integ. Neurosci.. 2:103-123 (2003). pdf
  45. P. C. Bressloff and S. Coombes, Synchronization of synaptically-coupled neural oscillators. In: Epilepsy as a dynamic disease, J.Milton and P. Jung editors, chapter 7 (Springer-Verlag 2003).
  46. P. C. Bressloff and J. D. Cowan, Pattern Formation, Neural. In: Handbook of brain theory and neural networks (2nd edition) M. Arbib editor (MIT Press, 2003).
  47. P. C. Bressloff and J. D. Cowan, The visual cortex as a crystal. Physica D 173 :226-258 (2002). pdf
  48. P. C. Bressloff, Bloch waves, periodic feature maps and cortical pattern formation. Phys. Rev. Lett. 89 : 088101 (2002). pdf
  49. P. C. Bressloff and J. D. Cowan, SO(3) symmetry breaking mechanism for orientation and spatial frequency tuning in visual cortex. Phys. Rev. Lett. 88 : 078102 (2002). pdf
  50. P. C. Bressloff and J. D. Cowan, An amplitude equation approach to contextual effects in primary visual cortex Neural Comput. 14 :493-525 (2002). pdf
  51. P. C. Bressloff, J. D. Cowan, M. Golubitsky, P. J. Thomas and M. Wiener, What geometric visual hallucinations tell us about the visual cortex Neural Comput. 14 : 473-491 (2002). pdf
  52. P. C. Bressloff and J. D. Cowan, Spontaneous pattern formation in primary visual cortex In: Nonlinear dynamics: where do we go from here? S. J. Hogan, A. Champneys and B. Krauskopf editors, chapter 11 (Institute of Physics: Bristol, 2002). pdf
  53. P. C. Bressloff, J. D. Cowan, M. Golubitsky, P. J. Thomas and M. Wiener, Geometric visual hallucinations, Euclidean symmetry and the functional architecture of striate cortex Phil. Trans. Roy. Soc. B 40 :299-330 (2001). pdf
  54. P. C. Bressloff, J. D. Cowan, M. Golubitsky and P. J. Thomas, Scalar and pseudoscalar bifurcations motivated by pattern formation on the visual cortex. Nonlinearity 14 :739-775 (2001).
  55. P. C. Bressloff, Traveling fronts and wave propagation failure in an inhomogeneous neural network Physica D 155 :83-100 (2001). pdf
  56. P. C. Bressloff and S. Coombes, Mathematical reduction techniques for modeling biophysical neural networks. In: Biophysical Neural networks: Foundations of analytical neuroscience R. R. Poznanski editor pp. 215-269. (Mary Ann Liebert, Inc., New York 2001).
  57. P. C. Bressloff, Traveling waves and pulses in a one-dimensional network of integrate-and-fire neurons. J. Math. Biol. 40 :169-183 (2000). pdf
  58. P. C. Bressloff and S. Coombes, Dynamical theory of spike train dynamics in networks of integrate-and-fire oscillators. SIAM J. Appl. Math. 60:828-841 (2000). pdf
  59. S. Coombes and P. C. Bressloff, Solitary waves in a model of dendritic cable with active spines. SIAM J. Appl. Math. 61:432-453 (2000). pdf
  60. P. C. Bressloff and S. Coombes, Dynamics of strongly coupled spiking neurons. Neural Comput. 12 :91-129 (2000). pdf
  61. P. N. Roper, P. C. Bressloff and A. Longtin, A temperature-dependent phase model of mammalian cold receptors. Neural Comput. 12 :1067-1093 (2000). pdf
  62. P. C. Bressloff, N. W. Bressloff and J. D. Cowan, Dynamical mechanism for sharp orientation tuning in an integrate-and-fire model of cortical hypercolumns. Neural Comput. 12:2473-2511 (2000). pdf
  63. P. C. Bressloff, Synaptically generated wave propagation in excitable neural media. Phys. Rev. Lett. 82:2979-2982 (1999). pdf
  64. P. C. Bressloff and S. Coombes, Symmetry and phase-locking in a ring of pulse-coupled oscillators with distributed delays. Physica D 126 :99-122 (1999). pdf
  65. P. C. Bressloff and S. Coombes, Travelling waves in a chain of pulse-coupled integrate-and-fire oscillators with distributed delays. Physica D 130:232-254 (1999). pdf
  66. P. C. Bressloff, Resonant-like synchronization and bursting in a model of pulse-coupled neurons with active dendrites. J. Comput. Neurosci. 6 :237-249 (1999). pdf
  67. P. C. Bressloff, Mean-field theory of globally coupled integrate-and-fire neural oscillators with dynamic synapses. Phys. Rev. E 60:2180-2190 (1999).
  68. S. Coombes and P. C. Bressloff, Mode-locking and Arnold tongues in integrate-and-fire neural oscillators. Phys. Rev. E 60:2086-2096 (1999).
  69. P. C. Bressloff and A. Fokas, A new spectral transform for solving the continuous and spatially discrete heat equations on simple trees. In: Symmetries and Integrability of Difference equations (edited by P. Clarkson and F. Nijhoff) Ch. 9 :215-269. (Cambridge University Press, Cambridge 1999).
  70. P. C. Bressloff and S. Coombes, Travelling waves in chain of pulse-coupled oscillators. Phys. Rev. Lett. 80:4815-4818 (1998). pdf
  71. P. C. Bressloff and S. Coombes, Desynchronization, mode-locking and bursting in strongly-coupled integrate-and-fire oscillators. Phys. Rev. Lett. 81:2168-2171 (1998). pdf
  72. P. C. Bressloff and S. Coombes, Spike train dynamics underlying pattern formation in an integrate-and-fire oscillator network. Phys. Rev. Lett. 81:2384-2387 (1998). pdf
  73. P. C. Bressloff and B. De Souza, Neural pattern formation in a network with dendritic structure. Physica D 115 :124-144 (1998).
  74. P. C. Bressloff and C. V. Wood, Spontaneous oscillations in a nonlinear delayed-feedback shunting model of the pupil light reflex. Phys. Rev. E 58:3597-3606 (1998).
  75. P. C. Bressloff and P. N. Roper, Stochastic dynamics of the diffusive Haken model with subthreshold periodic forcing network. Phys. Rev. E 58:2282-2287 (1998).
  76. P. C. Bressloff and S. Coombes, Synchrony in an array of integrate-and-fire neurons with dendritic structure. Phys. Rev. Lett. 78:4665-4668 (1997). pdf
  77. P. C. Bressloff, S. Coombes and B. De Souza, Dynamics of a ring of pulse-coupled oscillators: Group theoretic approach. Phys. Rev. Lett. 79:2791-2794 (1997). pdf
  78. P. C. Bressloff and G. Rowlands, Exact travelling wave solutions of an "integrable" discrete reaction-diffusion equation. Physica D 106:255-269 (1997). pdf
  79. P. C. Bressloff, A self-organizing network in the weak coupling limit. Physica D 110:195-208 (1997). pdf
  80. P. C. Bressloff, A new Green's function method for solving linear PDE's in two variables. J. Math. Anal. Appl. 210:390-415 (1997).
  81. P. C. Bressloff and S. Coombes, Physics of the extended neuron. Int. J. Mod. Phys. B 11:2343-2393 (1997). pdf
  82. P. C. Bressloff, V. M. Dwyer and M. J. Kearney, Burgers' equation on a branching structure. Phys. Lett. A 229:37-43 (1997).
  83. P. C. Bressloff, V. M. Dwyer and M. J. Kearney, Classical diffusion and percolation in random environments on trees. Phys. Rev. E 55:6765-6775 (1997). pdf
  84. M. J. Kearney, V. M. Dwyer and P. C. Bressloff, On the convergence of a class of random geometric series with application to random walks and percolation theory J. Phys. A 30:L409-414 (1997).
  85. P. C. Bressloff, New mechanism for neural pattern formation. Phys. Rev. Lett. 76 :4644-4647 (1996).
  86. P. C. Bressloff, V. M. Dwyer and M. J. Kearney, Localization-delocalization transition for drift-diffusion in a random environment. Phys. Rev. Lett. 77:5075-5078 (1996).
  87. P. C. Bressloff, C. V. Wood and P. A. Howarth, Nonlinear shunting model of the pupil light reflex. Proc. Roy. Soc. B 263:953-960 (1996).
  88. P. C. Bressloff, V. M. Dwyer and M. J. Kearney, Sum-over-paths approach to diffusion on trees. J. Phys. A. 29:1881-1896 (1996).
  89. P. C. Bressloff, V. M. Dwyer and M. J. Kearney, Classical localization for the drift-diffusion equation on a Cayley tree. J. Phys. A. 29:6161-6168 (1996).
  90. V. M. Dwyer, M. J. Kearney and P. C. Bressloff, An integral equation approach to electromigration under arbitrary time-dependent stress. J. Appl. Phys. 80:3792-3797 (1996).
  91. P. C. Bressloff, Neural networks, lattice instantons and the anti-integrable limit. Phys. Rev. Lett. 75:962-965 (1995).
  92. P. C. Bressloff, Dynamics of a compartmental integrate-and-fire neuron without dendritic potential reset. Physica D 80 : 399-412 (1995)
  93. P. C. Bressloff, Stochastic dynamics of reinforcement learning. Network 6:289-307 (1995).
  94. P. C. Bressloff, Average firing-rate of a model neural network with dynamical disorder. J. Phys A 28:2457-2469 (1995).
  95. P. C. Bressloff, Spatio-temporal processing in neural networks with random synaptic background activity. Phys. Rev. E 51:5064-5073 (1995).
  96. P. C. Bressloff, Integro-differential equations and the stability of neural networks with dendritic structure. Biol. Cybern. 73:281-290 (1995).
  97. P. C. Bressloff, Dynamics of a compartmental model recurrent neural network. Phys. Rev. E 50:2308-2319 (1994).
  98. P. C. Bressloff, Greens function approach to analysing the effects of random synaptic background activity. J. Phys. A 27:4097-4113 (1994).
  99. P. C. Bressloff. Learning temporal sequences in local feedback neural networks Int. J. Neural Systems 5:49-58 (1994).
  100. P. C. Bressloff and J. G. Taylor, Dynamics of compartmental model neurons. Neural Networks 7:1153-1165 (1994).
  101. J. Stark and P. C. Bressloff. Iterated function systems and their applications. In: Wavelets, Fractals and Fourier Transforms M. Farge, J. C. R. Hunt, and J. C. Vassilicos editors, (Oxford University Press, 1993).
  102. P. C. Bressloff, Temporal processing in neural networks with adaptive short term memory. Network 4:155-175 (1993).
  103. P. C. Bressloff and J. G. Taylor. Spatio-temporal processing in a compartmental model of a neuron. Phys. Rev. E 47 :2899-2912 (1993).
  104. P. C. Bressloff and J. G. Taylor. Low firing rates in a compartmental model neuron. J. Phys. A 26 :L165-170 (1993).
  105. P. C. Bressloff and J. G. Taylor, Compartmental response function for dendritic trees. Biol. Cybern. 69:199-207 (1993).
  106. J. G. Taylor, P. C. Bressloff and A. Restuccia. Finite superstrings (World Scientific 1992).
  107. P. C. Bressloff and J. G. Taylor. Perceptron-like learning in time-summating neural networks J. Phys. A 25:4373-4388 (1992).
  108. P. C. Bressloff and J. G. Taylor. Temporal sequence storage capacity of time-summating neural networks. J. Phys. A 25:833-842 (1992).
  109. P. C. Bressloff and J. Stark, Analysis of associative reinforcement learning using iterated function systems. IEEE Trans, Syst. Man and Cybern 2:1348-1360 (1992).
  110. P. C. Bressloff, Analysis of quantal synaptic noise in neural networks using iterated function systems. Phys. Rev. A 45:7549-7559 (1992).
  111. P. C. Bressloff and J. Stark, Neural networks, learning automata and iterated function systems. In: Fractals and Chaos A. J. Crilly, R. A. Earnshaw, and H. Jones editors., pp. 145-164 (Springer-Verlag, 1991).
  112. P. C. Bressloff, Stochastic dynamics of time-summating binary neural networks. Phys. Rev. A 44:4005-4016 (1991).
  113. P. C. Bressloff and J. G. Taylor, Discrete-time leaky-integrator networks with synaptic noise. Neural Networks 4:789-801 (1991).
  114. P. C. Bressloff and J. Stark, Neuronal dynamics based on discontinuous circle maps. Phys. Lett. A 150:87-195 (1990).
  115. J. Stark and P. C. Bressloff, Two-state representations of three-state neural networks. J. Phys. A 23:1633-1644 (1990).
  116. P. C. Bressloff and J. G. Taylor. Random iterative networks. Phys. Rev. A 41 :1126-1137 (1990).
  117. P. C. Bressloff, J. G. Taylor and A. Restuccia, Chiral partition functions using light-cone gauge techniques. Class. Quantum Gravity. 7:685-697 (1990).
  118. P. C. Bressloff, J. G. Taylor and M. Nouri-Moghadam, On the BFV quantization of the relativistic particle. Class. Quantum Gravity. 6:589-603 (1989).
  119. P. C. Bressloff, J. G. Taylor and A. Restuccia, A functional light-cone gauge construction of a bosonic string compactified on a torus. Int. J. Mod. Phys. A 3:451-486 (1988).
  120. A. Restuccia, P. C. Bressloff and J. G. Taylor, A functional light-cone gauge construction of heterotic string amplitudes. Phys. Lett. B 190 :69-75 (1987).
Paul C. Bressloff
2009-4-24