Core Faculty

William Kath

Professor of Engineering Sciences and Applied Mathematics and (by courtesy) Neurobiology

2145 Sheridan Road

Tech

Evanston, IL 60208-3109

kath( at )northwestern.edu

Education

Ph.D. Applied Mathematics, California Institute of Technology, Pasadena, CA

S.B. Mathematics, MIT, Cambridge, MA

Research Interests

Computational neuroscience, action potential propagation and dendritic integration in neurons; predictive modeling of cancer and epigenetic networks; optical fibers and waveguides, polarization mode dispersion, importance sampling and rare event simulation in lightwave systems, optical solitons, parametric optical amplifiers, linear and nonlinear wave propagation; nonlinear dynamics, asymptotic and singular perturbation methods.

Significant Recognition

  • Fellow, Optical Society of America
  • ASEE Mathematics Division Distinguished Educator and Service Award
  • McCormick School Teaching Award

Significant Professional Service

  • Editor of Wave Motion

Selected Publications

  • Kath, William L.; Biondini, Gino; Schuster, Jonathan; Marzec, Zachary, “Hybrid hinge model for polarization-mode dispersion in installed fiber transmission systems”, Journal of Lightwave Technology, (2014)
  • Kath, William L.; Spruston, Nelson; Katz, Yael; Menon, Vilas; Nicholson, Daniel A., “Balanced synaptic impact via distance-dependent synapse distribution and complementary expression of AMPARs and NMDARs in hippocampal dendrites”, Neuron, (2013)
  • Kath, William L.; Spruston, Nelson; Harnett, Mark T.; Makara, Judit K.; Magee, Jeffrey C., “Synaptic amplification by dendritic spines enhances input cooperativity”, Nature, (2012)
  • Graves, Austin R.; Moore, Shannon J.; Bloss, Erik B.; Mensh, Brett D.; Kath, William L., “Hippocampal Pyramidal Neurons Comprise Two Distinct Cell Types that Are Countermodulated by Metabotropic Receptors”, Neuron, (2012)
  • Li, W.; Kath, W. L.; Cembrowski, M. S.; Logan, S. M.; Tian, M., “The Mechanisms of Repetitive Spike Generation in an Axonless Retinal Interneuron”, Cell Reports, (2012)
  • J. Li and W. L. Kath, “EXTRACTING SOLITONS FROM NOISY PULSES”, Siam Journal on Applied Mathematics, (2012)
  • MEJ Sheffield;TK Best;BD Mensh;WL Kath;N Spruston, “Slow integration leads to persistent action potential firing in distal axons of coupled interneurons”, Nature Neuroscience, (2011)
  • Graham M. Donovan;William L. Kath, “AN ITERATIVE STOCHASTIC METHOD FOR SIMULATING LARGE DEVIATIONS AND RARE EVENTS”, Siam Journal on Applied Mathematics, (2011)
  • V MENON;N SPRUSTON;WL KATH, “A state-mutating genetic algorithm to design ion-channel models”, Proceedings of the National Academy of Sciences of the United States of America, (2009)
  • ET SPILLER, WL KATH, “A Method for Determining Most Probable Errors in Nonlinear Lightwave Systems”, SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, (2008)
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