Exact digital simulation of time-invariant linear systems with applications to neuronal modeling

An ecient new method for the exact digital simulation of time-invariant linear systems is presented. Such systems are frequently encountered as models for neuronal systems, or as submodules of such systems. The matrix exponential is used to construct a matrix iteration, which propagates the dynamic state of the system step by step on a regular time grid. A large and general class of dynamic inputs to the system, including trains of d-pulses, can be incorporated into the exact simulation scheme. An extension of the proposed scheme presents an attractive alternative for the approximate simulation of networks of integrateand-

• Type: Journal
• Year: 1999
• Where: BC
• Authors: Stefan Rotter, Markus Diesmann
• Keywords: BC 1999, Exact Digital Simulation, Simulation, Systems