Nonlinear Maps for Design of Discrete Time Models of Neuronal Network Dynamics

Abstract

A new promising way to significantly improve computational efficiency of neurobiological network simulations is to design a neuronal model in the form of difference equations that generates neuronal states in discrete moments of time. In this approach, time step can be made comparable with the duration of action potential (a spike) and capture correctly dynamics of the intrinsic and input-responsive firing patterns. We propose to use modern DSP ideas to develop new efficient approaches to the design of such discrete-time models for studies of large-scale neuronal network activity.

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Document Details

Document Type
Technical Report
Publication Date
Feb 29, 2016
Accession Number
AD1004577

Entities

People

  • Nikolai Rulkov

Organizations

  • University of California, San Diego

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Contract Administration
  • Contracts
  • Difference Equations
  • Dynamics
  • Efficiency
  • Equations
  • Governments
  • Information Operations
  • Iterations
  • Military Research
  • Network Simulation
  • Nonlinear Dynamics
  • Numerical Analysis
  • Physics
  • Simulations

Readers

  • Mathematical Modeling and Probability Theory.
  • Neuroscience
  • Parallel and Distributed Computing.