Carina Curto

Summary

Affiliation: University of Nebraska
Country: USA

Publications

  1. doi request reprint Encoding binary neural codes in networks of threshold-linear neurons
    Carina Curto
    Department of Mathematics, University of Nebraska Lincoln, Lincoln, NE 68588, U S A
    Neural Comput 25:2858-903. 2013
  2. doi request reprint The neural ring: an algebraic tool for analyzing the intrinsic structure of neural codes
    Carina Curto
    Department of Mathematics, University of Nebraska Lincoln, Lincoln, NE, USA
    Bull Math Biol 75:1571-611. 2013
  3. doi request reprint Combinatorial neural codes from a mathematical coding theory perspective
    Carina Curto
    Department of Mathematics, University of Nebraska Lincoln, Lincoln, NE 68588, USA
    Neural Comput 25:1891-925. 2013
  4. doi request reprint Flexible memory networks
    Carina Curto
    Department of Mathematics, University of Nebraska Lincoln, Lincoln, NE, USA
    Bull Math Biol 74:590-614. 2012
  5. pmc Clique topology reveals intrinsic geometric structure in neural correlations
    Chad Giusti
    Warren Center for Network and Data Science, Departments of Bioengineering and Mathematics, University of Pennsylvania, Philadelphia, PA 19104 Department of Mathematics, University of Nebraska, Lincoln, NE 68588
    Proc Natl Acad Sci U S A 112:13455-60. 2015
  6. pmc Cell assembly sequences arising from spike threshold adaptation keep track of time in the hippocampus
    Vladimir Itskov
    Department of Mathematics, University of Nebraska Lincoln, Lincoln, Nebraska 68588 0130, USA
    J Neurosci 31:2828-34. 2011

Collaborators

Detail Information

Publications6

  1. doi request reprint Encoding binary neural codes in networks of threshold-linear neurons
    Carina Curto
    Department of Mathematics, University of Nebraska Lincoln, Lincoln, NE 68588, U S A
    Neural Comput 25:2858-903. 2013
    ....
  2. doi request reprint The neural ring: an algebraic tool for analyzing the intrinsic structure of neural codes
    Carina Curto
    Department of Mathematics, University of Nebraska Lincoln, Lincoln, NE, USA
    Bull Math Biol 75:1571-611. 2013
    ..This allows us to algorithmically extract the canonical form associated to any neural code, providing the groundwork for inferring stimulus space features from neural activity alone...
  3. doi request reprint Combinatorial neural codes from a mathematical coding theory perspective
    Carina Curto
    Department of Mathematics, University of Nebraska Lincoln, Lincoln, NE 68588, USA
    Neural Comput 25:1891-925. 2013
    ..We suggest that a compromise in error-correcting capability may be a necessary price to pay for a neural code whose structure serves not only error correction, but must also reflect relationships between stimuli...
  4. doi request reprint Flexible memory networks
    Carina Curto
    Department of Mathematics, University of Nebraska Lincoln, Lincoln, NE, USA
    Bull Math Biol 74:590-614. 2012
    ..In order to prove our main results, we develop some matrix-theoretic tools and present them in a self-contained section independent of the neuroscience context...
  5. pmc Clique topology reveals intrinsic geometric structure in neural correlations
    Chad Giusti
    Warren Center for Network and Data Science, Departments of Bioengineering and Mathematics, University of Pennsylvania, Philadelphia, PA 19104 Department of Mathematics, University of Nebraska, Lincoln, NE 68588
    Proc Natl Acad Sci U S A 112:13455-60. 2015
    ..We propose that clique topology is a powerful new tool for matrix analysis in biological settings, where the relationship of observed quantities to more meaningful variables is often nonlinear and unknown. ..
  6. pmc Cell assembly sequences arising from spike threshold adaptation keep track of time in the hippocampus
    Vladimir Itskov
    Department of Mathematics, University of Nebraska Lincoln, Lincoln, Nebraska 68588 0130, USA
    J Neurosci 31:2828-34. 2011
    ..We hypothesize that mechanisms that evolved for spatial navigation also support tracking of elapsed time in behaviorally relevant contexts...