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Scholarly Interest Report
         
Steven J. Cox
Professor
Professor of Computational and Applied Mathematics
 
e-mail:cox@rice.edu
 
  • Ph.D. (1988) Rensselaer Polytechnic Institute
  • M.S. (1983) Marquette University
  • B.S. (1982) Marquette University
 
Primary Department
   Department of Computational and Applied Mathematics
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Department Affiliations
 
  • Center for Neuroscience
  • Cognitive Sciences Program
  • Ken Kennedy Institute for Information Technology
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    Websites
     Home Page
     
    Research Areas
     Biomathematics
     
    Neuronal Calcium Imaging
     We characterize rat hippocampal pyramidal cells from calcium data recorded in brain slice. More precisely, from the full space-time calcium fluorescence response to localized stimuli we infer the type and distibution of calcium handling machinery exhibited by the cell. This is a crucial step in mapping the input-output function of single cells.
     
    Neuronal Network Modeling
     We build large scale models of the
    full rat hippocampus. Our individual cell models span the complexity spectrum from fully branched to integrate-and-fire. We develop and apply novel learning rules to biologically constrained input in an attempt to understand spatial navigation and episodic memory - 2 tasks that rely heavily on the hippocampus.
     
    Inverse and Design Problems in Computational Biology
     Develop tools and models to discern constitutive behavior from indirect measurements, e.g., ion channel kinetics and distribution from multisite electrode recordings, and to optimally design
    biochemical networks, e.g., engineer E. coli to
    thrive in a semiaerobic milieu and so deliver the most of a desired waste product.
     
    Synaptic Plasticity
     I pursue theories, models, and experiments pertaining to how the brain rewires itself as a function of its own activity.
     
    Metabolic Control
     I tie theory to experiment in the development of methods and models for linking transcription factors to genes to metabolites.
     
    Design and Identification of Damped Wound Strings
     We develop and test models for damped wound strings with the goal of developing and analytical and numerical framework for the rational design of such continua.
     
    Control of Metabolism
     We develop and test both steady state and kinetic models of the role of oxygen in E. coli metabolism
    with the goal of increasing the efficiency of desirable waste products.
     
    Neuronal Calcium Imaging
     We characterize rat hippocampal pyramidal cells from calcium data recorded in brain slice. More precisely, from the full space-time calcium fluorescence response to localized stimuli we infer the type and distibution of calcium handling machinery exhibited by the cell. This is a crucial step in mapping the input-output function of single cells.
     
    Neuronal Network Modeling
     We build large scale models of the
    full rat hippocampus. Our individual cell models span the complexity spectrum from fully branched to integrate-and-fire. We develop and apply novel learning rules to biologically constrained input in an attempt to understand spatial navigation and episodic memory - 2 tasks that rely heavily on the hippocampus.
     
    Design and Identification of Damped Wound Strings
     We develop and test models for damped wound strings with the goal of developing and analytical and numerical framework for the rational design of such continua.
     
    Control of Metabolism
     We develop and test both steady state and kinetic models of the role of oxygen in E. coli metabolism
    with the goal of increasing the efficiency of desirable waste products.
     
    Selected Publications
     Refereed articles
     

    (with K Hedrick) Morphological Reduction of Dendritic Neurons, in Dendritic Computations,
    M Remme ed., Springer, to appear.

     
     

    (with J Raol) Inverse problems in neuronal calcium signaling. J Math. Biology,
    DOI:10.1007/s00285-012-0507-z, 2012.

     
     

    (with K Hedrick) Structure-preserving model reduction of passive and quasi-active
    neurons, J Comput Neurosci, DOI:10.1007/s10827-012-0403-y, 2012.

     
    Editorial Positions
     Associate Editor, Mathematical Medicine and Biology. (2006 - 2006)

     Associate Editor, Mathematical Medicine and Biology. (2005 - 2005)

     Associate Editor, Inverse Problems. (2005 - 2005)

     Associate Editor, Inverse Problems. (2006 - 2006)

    Supervised Theses & Dissertations
     Kathryn Ruth Hedrick, Ph.D. The Neural Computations in Spatial Memory From Single Cells to Networks. (2012) (Thesis or Dissertation Director)

     Meagan Whaley, M.A. Applying the Short-Time Direct Directed Transfer Function to Human Electrocorticographic Recordings from a Language Task. (Thesis or Dissertation Director)

    Positions Held
     Adjunct Professor, Neuroscience, Baylor College of Medicine. (2004 - 2013)