Joshua Goldwyn

Postdoctoral Fellow, Rinzel lab


Phone: 212-998-3921
E-mail: jgoldwyn at nyu edu
Office: Meyer 974

Teaching at NYU

  • Spring 2012: MAP-UA 101 (Quantitative Reasoning: Mathematical Patterns in Nature)

    • Research interests

    Mathematical and computational neurscience, usually with applications to auditory neuroscience. How do dynamical and stochastic mechanisms affect sensory encoding at the cellular level? And how do they impact perceptual phenomena? My PhD work focused on mathematical models of cochlear implants. I developed model-based approaches to characterize electrically stimulated neural activity and its relationship to measures of sound perception in cochlear implant psychoacoustics experiments. I am now studying the medial superior olive -- a specialized region in the auditory brain stem that is an early stage of binaural processing. The mathematical methods I use in my research include dynamical systems, partial differential equations, stochastic differential equations, point process theory, and numerical simulations.

    Publications

    Cochlear implants

  • JH Goldwyn, JT Rubinstein, E Shea-Brown (2012). A point process framework for modeling electrical stimulation of the auditory nerve. J Neurophysiol 108:1430-1452, 2012 .
  • JH Goldwyn, E Shea-Brown, JT Rubinstein (2010). Encoding and decoding amplitude-modulated cochlear implant stimuli - a point process analysis. J Comput Neuro, 28:405-424, 2010
  • JH Goldwyn, SM Bierer, JA Bierer (2010). Modeling the electrode-neuron interface of cochlear implants: Effects of neural survival, electrode placement, and the partial tripolar configuration. Hearing Research, 268(1-2): 93-104

    Channel noise

  • JH Goldwyn and E Shea-Brown (2011). The what and where of adding channel noise to the Hodgkin-Huxley equations. PLoS Comput Biol, e1002247
  • JH Goldwyn, NS Imennov, M Famulare, E Shea-Brown (2011). Stochastic differential equation models of Hodgkin-Huxely neurons. Phys Rev E 83, 041908

    Research Topic Editor (Frontiers in Computational Neuroscience)

  • Neuronal stochastic variability: Influences on spiking dynamics and network activity. With M. McDonnell and B. Lindner.

    • Presentations

    Conference talks

  • Binaural Bash 2013: Insights from an idealized, biophysically-based model of the auditory neurophonic in cats, November 2013.
  • Sloan-Swartz Meeting for Computational Neuroscience 2013: Symmetry and synchrony in a population of neurons generate prominent extracellular potentials in the auditory brainstem, July 2013.
  • Virtual Working Group on Master Equations and Neural Dynamics (Mathematical Biosciences Institute): Talk and panel discussant, September 2012.
  • SIAM DS 2011: Revisiting stochastic differential equation models for ion channel noise in Hodgkin-Huxley neurons, May 2011.
  • SIAM DS 2009: Neural coding of amplitude-modulated cochlear implant stimulation, May 2009.
  • Northwest Auditory and Vestibular Meeting: Validation of cochlear implant dead region model, October 2007

    • Departmental seminars

  • City College of New York: Symposium on ephaptic and field effects, May 2012.
  • City College of New York: Neuroscience Seminar, May 2012.
  • Duke University: Mathematical Biology Seminar, January 2011.
  • Boston University: Mathematical Biology Seminar, January 2011.
  • New York University, Center for Neural Science: Auditory Journal Club.
  • University of Washington, Applied Mathematics: Mathematical biology, Numerical analysis, SIAM Graduate Student Seminar, Undergraduate Mathematical Sciences Seminar.

    • Conference posters

  • ARO 2013: A biophysical cable model for MSO neurons as generators of the neurophonic, February 2013.
  • SFN 2012: Biophysically-based models of local fields and ephaptic coupling in the auditory brain stem, October 2012.
  • ARO 2012: A point process framework for modeling electrical stimulation of the auditory nerve, February 2012.
  • SFN 2010: Rethinking approximations of channel noise in stochastic Hodgkin-Huxley models, November 2010.
  • 2nd Northwest Computational Neuroscience Connection: Adaptation in electric hearing: Analysis of level and amplitude modulation encoding, September 2010.
  • CNS 2010: Adaptation in electric hearing: Analysis of level and amplitude modulation encoding, July 2010.
  • CIAP 2009: Amplitude modulation detection analyzed with a point process model of the auditory nerve, July 2009.
  • SFN 2008: Simulating cochlear implant psychophysics with a stochastic model of the auditory nerve, November 2008.
  • Pacific Northwest Neural Engineering Workshop: Amplitude modulation discrimination in a model of the electrically stimulated auditory nerve, October 2008.
  • ACCN 2008: Mechanisms of modulation detection in cochlear implant listeners, August 2008
  • CNS 2008: Amplitude modulation discrimination in a model of the electrically stimulated auditory nerve, July 2008
  • CIAP 2007: Validation of a cochlear implant dead region model using monopolar and tripolar threshold data, July 2007.

    • Code

    Simulation code posted to the ModelDB website

  • Point process framework for modeling electrical stimulation of the auditory nerve , also available here
  • Stochastic versions of the Hodgkin-Huxley equations
  • Stochastic differential equation models for ion channel noise in Hodgkin-Huxley neurons

    Past Teaching

  • Summer 2011: Tutor at Advanced Course in Computational Neuroscience Bedlewo, Poland. (2011). Tutor.
  • University of Washington, Department of Applied Mathematics (2005-2009). Teaching assistant.
  • After school tutor (2010-2011).
  • Pomona College (1999-2002). Calculus mentor and teaching assistant for physics and astronomy.

  • B Butrica, JH Goldwyn, RW Johnson (2005). Understanding Expenditure Patterns in Retirement. The Urban Institute.
  • RW Johnson, CE Uccello, JH Goldwyn (2005). Who Foregoes Survivor Protection in Employer-Sponsored Pension Annuities? The Gerontologist 45:26-35.
  • M Favreault et al. (2004). Reform Model Two of the President's Commission to Strengthen Social Security: Distribution Outcomes under Different Economic and Behavioral Assumptions. The Urban Institute.
  • RW Johnson, JH Goldwyn, M Favreault (2004). Social Security COLA Reductions Would Weaken Financial Security for the Oldest and Poorest Retirees. Retirement Project Brief Series, The Urban Institute.
  • RW Johnson, M Favreault, JH Goldwyn (2003). Employment, Social Security, and Future Retirement Outcomes for Single Mothers. The Urban Institute.

    • Almae matres

  • PhD (2011) University of Washington, Applied Mathematics , Shea-Brown Neural Dynamics Group .
  • BA (2002): Pomona College , Department of Mathematics.