Faculty Directory
William Kath

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


2145 Sheridan Road
Evanston, IL 60208-3109

Email William Kath


Kath Research


Institute on Complex Systems


Engineering Sciences and Applied Mathematics

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

S.B. Mathematics, MIT, Cambridge, MA

Research Interests

Quantitative biological modeling, circadian rhythms, growth and development; computational neuroscience, action potential propagation and dendritic integration in neurons; optical fibers and waveguides, polarization mode dispersion; importance sampling and rare event simulation; stochastic and nonlinear dynamics

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

  • J. Li, W. L. Kath, “A Path-Based Method for Simulating Large Deviations and Rare Events in Nonlinear Lightwave Systems”, Studies in Applied Mathematics, (2016)
  • Daniel K. Wells, William L. Kath, Adilson E. Motter, “Control of stochastic and induced switching in biophysical networks”, Physical Review X, (2015)
  • Leonard, Joshua N.; Kath, William L.; Wells, Daniel K.; Chuang, Yishan; Knapp, Louis M., “Spatial and Functional Heterogeneities Shape Collective Behavior of Tumor-Immune Networks”, PLoS Computational Biology, (2015)
  • et al.; Popovic, Relja; Martinez-Garcia, Eva; Giannopoulou, Eugenia G.; Zhang, Quanwei, “Histone Methyltransferase MMSET/NSD2 Alters EZH2 Binding and Reprograms the Myeloma Epigenome through Global and Focal Changes in H3K36 and H3K27 Methylation”, PLoS Genetics, (2014)
  • 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)