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Author Zheng, G. ♦ Tonnelier, A. ♦ Martinez, D.
Source CiteSeerX
Content type Text
File Format PDF
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Subject Keyword Particular Attention ♦ Event-driven Method ♦ Neuronal Dynamic ♦ Voltage-stepping Method ♦ Specific Treatment ♦ Voltage State-space ♦ Nonlinear Integrate-and-fire Model ♦ Time-stepping Method ♦ Local Event-driven Method ♦ High-order Algorithm ♦ Integrate-and-fire Model ♦ Numerical Simulation ♦ Computational Neuroscience ♦ Neural Network ♦ Simulation Time ♦ Runge-kutta Type ♦ Numerical Error ♦ Voltage-stepping Scheme ♦ Implicit Activity-dependent Time Discretization ♦ Limited Class ♦ Neuron Model ♦ Time-stepping Scheme
Description The numerical simulation of spiking neural networks requires particular attention. On the one hand, time-stepping methods are generic but they are prone to numerical errors and need specific treatments to deal with the discontinuities of integrate-and-fire models. On the other hand, event-driven methods are more precise but they are restricted to a limited class of neuron models. We present here a voltage-stepping scheme that combines the advantages of these two approaches and consists of a discretization of the voltage state-space. The numerical simulation is reduced to a local event-driven method that induces an implicit activity-dependent time discretization (time-steps automatically increase when the neuron is slowly varying). We show analytically that such a scheme leads to a high-order algorithm so that it accurately approximates the neuronal dynamics. The voltage-stepping method is generic and can be used to simulate any kind of neuron models. We illustrate it on nonlinear integrate-and-fire models and show that it outperforms time-stepping schemes of Runge-Kutta type in terms of simulation time and accuracy.
Publications of the year Articles in International Peer-Reviewed Journals BIPOP 15
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research
Education Level UG and PG ♦ Career/Technical Study
Learning Resource Type Article