Professor Paul Bressloff

Professor Paul Bressloff

Professor Paul Bressloff

Ph. D

  • University Research Professor
  • Professor of Mathematical Neuroscience

Personal Web Page

eMail: Paul [dot] Bressloff [-at-] maths [dot] ox [dot] ac [dot] uk
Contact Form

Phone Number(s):

Reception/Secretary: +44 1865 273525

Preferred Address:

Oxford Centre for Collaborative Applied Mathematics
2nd Floor Gibson Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6HA

Departmental Address:

Mathematical Institute
24-29 St Giles'
Oxford
OX1 3LB
England

Research Interests: 

Mathematical Neuroscience, Biophysics, Differential Equations, Stochastic Processes, Dynamical Systems

Prizes, Awards and Scholarships: 

Royal Society Wolfson Merit Award (2009-2013)

Major/Recent Publications: 

P. C. Bressloff. Metastable states and quasicycles in a stochastic Wilson-Cowan model of neural population dynamics. Phys. Rev. E. In press (2010).

Z. P. Kilpatrick and P. C. Bressloff. Binocular rivalry in a competitive neural network with synaptic depression. SIAM J. Appl. Dyns. Syst. In press (2010).

J. Newby and P. C. Bressloff. Quasi-steady state reduction of molecular motor-based models of directed intermittent search.Bull. Math Biol. 72 1840-1866 (2010).

P. C. Bressloff and A. M. Oster. A theory for the alignment of cortical feature maps during development. Phys. Rev. E. 82 021920  (2010).

J. Newby and P. C. Bressloff. Local synaptic signalling enhances motor-driven transport in neurons. Phys. Biol. 7 036004 (2010).

Z. P. Kilpatrick and P. C. Bressloff. Stability of bumps in piecewise smooth neural fields with nonlinear adaptation. Physica D. 239 1048-1060 (2010).

J. Newby and P. C. Bressloff. Random intermittent search and the tug-of-war model of motor-driven transport. J. Stat.Mech. P04014 (2010)

Z. P. Kilpatrick and P. C. Bressloff. Spatially structured oscillations in a two--dimensional neuronal network with synaptic depression. J. Comp. Neurosci. 28 193-209 (2010).

B. A. Earnshaw and P. C. Bressloff. Diffusion-activation model for CaMKII translocation waves in dendrites. J. Comp. Neurosci. 28 77-89 (2010)

Z. P. Kilpatrick and P. C. Bressloff. Effects of synaptic depression and adaptation on spatiotemporal dynamics of an excitatory neuronal network. Physica D 239 547-560 (2010)

P. C. Bressloff. Stochastic neural field theory and the system size expansion. SIAM J. Appl. Math 70 1488-1521 (2009)

J. Newby and P. C. Bressloff. Directed intermittent search for a hidden target on a dendritic tree. Phys. Rev. E 80 021913 (2009)

P. C. Bressloff. Cable theory of protein receptor trafficking in dendritic trees. Phys. Rev. E. 79, 041904 (2009).

P. C. Bressloff and B. A. Earnshaw. A dynamical corral model of protein trafficking in spines. Biophys. J. 96, 1786–1802 (2009).

P. C. Bressloff and J. Newby. Intermittent search strategies for delivering mRNA particles to synaptic targets. New J. Phys.  11, 023033 (2009).

P. C. Bressloff. Lectures on Mathematical Neuroscience. In: Mathematical Biology (IAS/Park City Mathematics Series). M. A. J. Chaplain, J. P. Keener, P. K. Maini and M. A. Lewis (eds.) pp. 289-398 (2009).

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). 

Z. Kilpatrick and P. C. Bressloff. Nonlocal Ginzburg Landau equation for cortical dynamics. Phys. Rev. E. 78, 041916 (2008).

B. A. Earnshaw and P. C. Bressloff. Modeling the role of lateral membrane diffusion in AMPA receptor trafficking along a spiny dendrite. J. Comput. Neurosci. 25, 366-389 (2008).

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).

W. H. Nesse, C. Del Negro and P. C. Bressloff. Oscillation regularity in noise-driven excitable systems with multi-timescale adaptation. Phys. Rev. Lett. 101, 088101 (2008).

Z. 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).