Zachary Kilpatrick: Publications Publications

  1. B Ermentrout, SE Folias, and ZP Kilpatrick. Spatiotemporal pattern formation in neural fields with linear adaptation. (2012) submitted.
  2. ZP Kilpatrick, B Ermentrout. Wandering bumps in stochastic neural fields. arXiv (2012) nlin.PS/1205.3072v1 and submitted.
  3. SM Jayasuriya*, ZP Kilpatrick. Effects of time-dependent stimuli on a competitive neural network model of perceptual rivalry. Bull. Math. Biol., 6 (2012) pp. 1396-1426.
  4. ZP Kilpatrick, B Ermentrout. Response of traveling waves to transient inputs in neural fields. Phys. Rev. E, 85 (2012) 021910.
  5. ZP Kilpatrick, GB Ermentrout. Hallucinogen persisting perception disorder in neuronal networks with adaptation. J Comp. Neurosci., 32 (2012) pp. 25-53.
  6. ZP Kilpatrick, B Ermentrout. Sparse gamma rhythms arising through clustering in adapting neuronal networks. PLoS Comput. Biol., 7 (2011) e1002281.
  7. PC Bressloff, ZP Kilpatrick. Two-dimensional bumps in piecewise smooth neural fields with synaptic depression. SIAM J. Appl. Math., 71 (2011) pp. 379-408.
  8. ZP Kilpatrick, PC Bressloff. Binocular rivalry in a competitive neural network model with synaptic depression. SIAM J. Appl. Dyn. Syst., 9 (2010) pp. 1303-1347.
  9. ZP Kilpatrick, PC Bressloff. Stability of bumps in piecewise smooth neural fields with nonlinear adaptation. Physica D, 239 (2010) pp. 1048-1060.
  10. ZP Kilpatrick, PC Bressloff. Spatially structured oscillations in a two-dimensional excitatory neuronal network with synaptic depression. J. Comp. Neurosci., 28 (2010) pp. 193-209.
  11. ZP Kilpatrick, PC Bressloff. Effects of synaptic depression and adaptation on spatiotemporal dynamics of an excitatory neuronal network. Physica D, 239 (2010) pp. 547-560.
  12. PC Bressloff, ZP Kilpatrick. Nonlocal Ginzburg-Landau equation for cortical pattern formation. Phys. Rev. E, 78 (2008), 041916.
  13. ZP Kilpatrick, SE Folias, and PC Bressloff. Traveling pulses and wave propagation failure in inhomogeneous neural media. SIAM J. Appl. Dyn. Syst., 7 (2008), pp. 161-185.

*undergraduate author!


ZP Kilpatrick. Spatially structured waves and oscillations in neuronal networks with synaptic depression and adaptation. PhD Dissertation. University of Utah, Salt Lake City UT, 2010.