Carina CurtoSummaryAffiliation: University of Nebraska Country: USA Publications
 Collaborators

Detail Information
Publications
 Encoding binary neural codes in networks of thresholdlinear neuronsCarina Curto
Department of Mathematics, University of Nebraska Lincoln, Lincoln, NE 68588, U S A
Neural Comput 25:2858903. 2013....  The neural ring: an algebraic tool for analyzing the intrinsic structure of neural codesCarina Curto
Department of Mathematics, University of Nebraska Lincoln, Lincoln, NE, USA
Bull Math Biol 75:1571611. 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...  Combinatorial neural codes from a mathematical coding theory perspectiveCarina Curto
Department of Mathematics, University of Nebraska Lincoln, Lincoln, NE 68588, USA
Neural Comput 25:1891925. 2013..We suggest that a compromise in errorcorrecting 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...  Flexible memory networksCarina Curto
Department of Mathematics, University of Nebraska Lincoln, Lincoln, NE, USA
Bull Math Biol 74:590614. 2012..In order to prove our main results, we develop some matrixtheoretic tools and present them in a selfcontained section independent of the neuroscience context...  Clique topology reveals intrinsic geometric structure in neural correlationsChad 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 112:1345560. 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. ..  Cell assembly sequences arising from spike threshold adaptation keep track of time in the hippocampusVladimir Itskov
Department of Mathematics, University of Nebraska Lincoln, Lincoln, Nebraska 68588 0130, USA
J Neurosci 31:282834. 2011..We hypothesize that mechanisms that evolved for spatial navigation also support tracking of elapsed time in behaviorally relevant contexts...