A SIMPLE ALGORITHM TO GENERATE FIRING TIMES FOR LEAKY INTEGRATE-AND-FIRE NEURONAL MODEL

被引：2

作者：

Buonocore, Aniello ^{[1
]}

Caputo, Luigia ^{[1
]}

Pirozzi, Enrica ^{[1
]}

Carfora, Maria Francesca ^{[2
]}

机构：

[1] Univ Naples Federico II, Dipartimento Matemat & Applicaz, Naples, Italy

[2] CNR, Ist Appplicaz Calcolo Mauro Picone, I-80125 Naples, Italy

来源：

MATHEMATICAL BIOSCIENCES AND ENGINEERING | 2014年 / 11卷 / 01期

关键词：

Ornstein-Uhlenbeck process; first passage time; spike train generation; instantaneous firing rate; hazard rate method; 1ST PASSAGE TIMES; SIMULATION; EQUATION;

D O I：

10.3934/mbe.2014.11.1

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

A method to generate first passage times for a class of stochastic processes is proposed. It does not require construction of the trajectories as usually needed in simulation studies, but is based on an integral equation whose unknown quantity is the probability density function of the studied first passage times and on the application of the hazard rate method. The proposed procedure is particularly efficient in the case of the Ornstein-Uhlenbeck process, which is important for modeling spiking neuronal activity.

引用

页码：1 / 10

页数：10

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