Analysis of Large-Amplitude Pulses in Short Time Intervals : Application to Neuron Interactions
Joint Authors
Scalia, Massimo
Cattani, Carlo
Mattioli, Gianni
Source
Mathematical Problems in Engineering
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-06-15
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
This paper deals with the analysis of a nonlinear dynamical system which characterizes the axons interaction and is based on a generalization of FitzHugh-Nagumo system.
The parametric domain of stability is investigated for both the linear and third-order approximation.
A further generalization is studied in presence of high-amplitude (time-dependent) pulse.
The corresponding numerical solution for some given values of parameters are analyzed through the wavelet coefficients, showing both the sensitivity to local jumps and some unexpected inertia of neuron's as response to the high-amplitude spike.
American Psychological Association (APA)
Mattioli, Gianni& Scalia, Massimo& Cattani, Carlo. 2010. Analysis of Large-Amplitude Pulses in Short Time Intervals : Application to Neuron Interactions. Mathematical Problems in Engineering،Vol. 2010, no. 2010, pp.1-15.
https://search.emarefa.net/detail/BIM-506214
Modern Language Association (MLA)
Mattioli, Gianni…[et al.]. Analysis of Large-Amplitude Pulses in Short Time Intervals : Application to Neuron Interactions. Mathematical Problems in Engineering No. 2010 (2010), pp.1-15.
https://search.emarefa.net/detail/BIM-506214
American Medical Association (AMA)
Mattioli, Gianni& Scalia, Massimo& Cattani, Carlo. Analysis of Large-Amplitude Pulses in Short Time Intervals : Application to Neuron Interactions. Mathematical Problems in Engineering. 2010. Vol. 2010, no. 2010, pp.1-15.
https://search.emarefa.net/detail/BIM-506214
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-506214