## Holmes

**Philip Holmes,**Eugene Higgins Professor of Mechanical & Aerospace Engineering; Professor of Applied and Computational Mathematics; Associated Faculty, Mathematics Department and Princeton Neuroscience Institute

Member, American Academy of Arts and Sciences

Fellow of the American Physical Society

Fellow of the Society for Industrial and Applied Mathematics

Fellow of the American Mathematical Society

Ph.D. Southampton (1973)

**Profile**

Since 1994 he has been Professor of Mechanics and Applied Mathematics at Princeton University, where he directed the Program in Applied and Computational Mathematics until 1997, and again in 2010-11. He is an associated faculty member in the Department of Mathematics and the Princeton Neuroscience Institute.

In 1981 he was a Visiting Scholar in the Department of Mathematics at the University of California , Berkeley. From 1981-86 he was Director of the Center for Applied Mathematics at Cornell. In 1985-86 he held the Chaire Aisenstadt of the Centre de Recherches Mathematiques, Universite de Montreal; in 1988-89 he was a Sherman Fairchild Distinguished Scholar at the California Institute of Technology and, in 1993-94, a John Simon Guggenheim Memorial Fellow. He was elected a Fellow of the American Academy of Arts and Sciences in 1994. In January 2000 he held a Visiting Professorship at the Paul Erdös Mathematical Center, Budapest, Hungary, and in 2001 he was elected an Honorary Member of the Hungarian Academy of Sciences. Dr Holmes teaches courses at all levels from freshman to advanced graduate, and conducts seminars in dynamics and applied mathematics. He helped Ingrid Daubechies develop 'Math Alive:' an applied mathematics course for non-science majors. He has published over 200 papers, articles and reviews. He has supervised 34 PhD. and 3 MSc theses, mentored 23 postdoctoral fellows, and he currently has three PhD students and two postdoctoral fellows working with him.

**Research Interests**

Dr. Holmes' recent and current research support comes from the Air Force Office of Scientific Research, the National Science Foundation, the United States - Israel Binational Science Foundation, and the J. Insley Pyne Fund of Princeton University.

**Selected Recent Publications
(see links at right for full publication list in CV, and for downloadable papers)
**

* F. Cirak, J. Cisternas, A.M. Cuitino, G. Ertl, P. Holmes, I.G. Kevrekidis, M. Ortiz, H.H. Rotermund, M. Schunack and J. Wolff (2003) Science 300, 1932-1936. Oscillatory thermo-mechanical instability of an ultrathin catalyst.

* R. Goodman, P. Holmes, and M.I. Weinstein (2004) Physica D 192 (3-4), 215-248. Strong NLS soliton-defect interactions.

* R.M. Ghigliazza and P. Holmes (2004) SIAM J. on Applied Dynamical Systems 3 (4), 636-670 and 671-700}. Minimal models of bursting neurons: How multiple currents, conductances and timescales affect bifurcation diagrams, and A minimal model of a central pattern generator and

motoneurons for insect locomotion.

* T.R. Smith, J. Moehlis and P. Holmes (2005) J. Fluid Mech. 538, 71-110. Low-dimensional models for turbulent plane Couette flow in a minimal flow unit.

* T. McMillen and P. Holmes (2006) J. Math. Biol. 53, 843-866. An elastic rod model for anguilliform swimming.

* J.E. Seipel and P. Holmes (2006) Int. J. Robotics Research 25 (9), 889-902. Three-dimensional translational dynamics and stability of multi-legged runners.

* R. Bogacz, E. Shea-Brown, J. Moehlis, P. Holmes and J.D. Cohen (2006) Psychological Review 113 (4), 700 - 765. The physics of optimal decison making: A formal analysis of performance in two-alternative forced choice tasks.

* P. Holmes, R.J. Full, D. Koditschek and J. Guckenheimer (2006) SIAM Review 48 (2), 207-304. Dynamics of legged locomotion: Models, analysis, and challenges.

* R. Kukillaya and P. Holmes (2007) Biological Cybernetics 97 (5-6), 379-395. A hexapedal jointed-leg model for insect locomotion in the horizontal plane.

* J. Gao and P. Holmes (2007) J. Computational Neurosci. 22, 39-61. On the dynamics of electrically-coupled neurons with inhibitory synapses.

* Y.S. Liu, P. Holmes and J.D. Cohen (2008) Neural Computation 20 (2), 345-373. A neural network model of the Eriksen task: Reduction, analysis, and data fitting.

* P. Eckhoff, P. Holmes, C. Law, P.M. Connolly and J.I. Gold (2008) New J. of Physics 10, doi: 1367-2630/10/1/015006. On diffusion processes with variable drift rates as models for decision making during learning.

* P. Varkonyi, P. Holmes, T. Keimel, K. Hoffman and A.H. Cohen (2008) J. Computational Neurosci. 25 (2), 245-261. On the derivation and tuning of phase oscillator models for lamprey central pattern generators.

* T. McMillen, T.L. Williams and P. Holmes (2008) PLoS Computational Biology 4 (8),doi: 10.1371/ journal.pcbi.1000157. Nonlinear muscles, passive viscoelasticity and body taper conspire to create neuro-mechanical phase lags in anguilliform swimmers.

* S. Feng, P. Holmes, A. Rorie and W.T. Newsome (2009) PLoS Computational Biology 5 (2), doi: 10.1371/journal.pcbi.1000284. Can monkeys choose optimally when faced with noisy stimuli and unequal rewards?

* P. Eckhoff, K-F. Wong-Lin and P. Holmes (2009) J. Neurosci. 29 (13), 4301-4311. Optimality and robustness of a biophysical decision-making model under nonepinephrine modulation.

* J. Gao, K.F. Wong-Lin, P. Holmes, P. Simen and J.D. Cohen (2009) Neural Computation 21 (9), 2407-2436. Sequential effects in two-choice reaction time tasks: Decomposition and synthesis of mechanisms.

* R. Kukillaya, J. Proctor and P. Holmes (2009) CHAOS: An Interdisciplinary Journal of Nonlinear Science 19 (2), 026107. Neuro-mechanical models for insect locomotion: Stability, maneuverability, and proprioceptive feedback.

* R. Kukillaya and P. Holmes (2009) J. Theoretical Biology 261 (2), 210-226. A model for insect locomotion in the horizontal plane: Feedforward activation of fast muscles, stability, and robustness.

* F. Balci, D. Freestone, P. Simen, L. deSouza, P. Holmes and J.D. Cohen (2011) Frontiers in Integrative Neurosci. 5: 56. Optimal temporal risk assessment.

* A. Nedic, D. Tomlin, P. Holmes, D.A. Prentice and J.D. Cohen (2012) Proc IEEE 100 (3), 713-733. A decision task in a social context: Human experiments, models, and analyses of behavioral data.

*E. Fuchs, P. Holmes, I. David and A. Ayali (2012) J. Exp. Biol. 215, 1884-1891. Proprioceptive feedback reinforces centrally-generated stepping patterns in the cockroach.

* M.K. van Vugt, P. Simen, L. Nystrom, P. Holmes and J.D. Cohen (2012) Frontiers in Neurosci. 6: 106. EEG oscillations reveal neural correlates of evidence accumulation.

* D. Tomlin, A. Nedic, D.A. Prentice, P. Holmes and J.D. Cohen (2013) PLoS ONE 8 (1), e52630. The neural substrates of social influence on decision making.

* J.I. Tam and P. Holmes (2014) J. Sound Vib. 333 (6), 1767-1780. Revisiting a magnetoelastic strange attractor.

* M.K. van Vugt, P. Simen, L.E. Nystrom, P. Holmes and J.D. Cohen (2014) PLoS ONE 9 (3), e90943. Lateralized readiness potentials reveal properties of a neural mechanism for implementing a decision threshold.

* P. Holmes (2014) J. Nonlinear Sci. 24 (2), 201-242 and 243-244. Some joys and trials of mathematical neuroscience, and erratum.

* P. Holmes and J.D. Cohen (2014) Trends in Cog. Sci. (in press). Optimality and some of its discontents: Successes and shortcomings of existing models for binary decisions.