A neural microcircuit model for a scalable scale-invariant representation of time.

Journal: Hippocampus
Published Date:

Abstract

Scale-invariant timing has been observed in a wide range of behavioral experiments. The firing properties of recently described time cells provide a possible neural substrate for scale-invariant behavior. Earlier neural circuit models do not produce scale-invariant neural sequences. In this article, we present a biologically detailed network model based on an earlier mathematical algorithm. The simulations incorporate exponentially decaying persistent firing maintained by the calcium-activated nonspecific (CAN) cationic current and a network structure given by the inverse Laplace transform to generate time cells with scale-invariant firing rates. This model provides the first biologically detailed neural circuit for generating scale-invariant time cells. The circuit that implements the inverse Laplace transform merely consists of off-center/on-surround receptive fields. Critically, rescaling temporal sequences can be accomplished simply via cortical gain control (changing the slope of the f-I curve).

Authors

  • Yue Liu
    School of Athletic Performance, Shanghai University of Sport, Shanghai, China.
  • Zoran Tiganj
    Center for Memory and Brain, Boston University, Boston, Massachusetts.
  • Michael E Hasselmo
    Center for Memory and Brain and Graduate Program for Neuroscience, Boston University, 2 Cummington Mall, Boston, MA 02215, USA.
  • Marc W Howard
    Department of Physics, Boston University, Boston, Massachusetts.