Reconstruction of dynamical systems from resampled point processes produced by neuron models

Olga N. Pavlova; Alexey N. Pavlov

doi:10.1117/12.2309626

26 April 2018 Reconstruction of dynamical systems from resampled point processes produced by neuron models

Olga N. Pavlova, Alexey N. Pavlov

Proceedings Volume 10717, Saratov Fall Meeting 2017: Laser Physics and Photonics XVIII; and Computational Biophysics and Analysis of Biomedical Data IV; 107171Q (2018) https://doi.org/10.1117/12.2309626
Event: Saratov Fall Meeting 2017, 2017, Saratov, Russian Federation

Abstract

Characterization of dynamical features of chaotic oscillations from point processes is based on embedding theorems for non-uniformly sampled signals such as the sequences of interspike intervals (ISIs). This theoretical background confirms the ability of attractor reconstruction from ISIs generated by chaotically driven neuron models. The quality of such reconstruction depends on the available length of the analyzed dataset. We discuss how data resampling improves the reconstruction for short amount of data and show that this effect is observed for different types of mechanisms for spike generation.

Citation Download Citation

Olga N. Pavlova and Alexey N. Pavlov "Reconstruction of dynamical systems from resampled point processes produced by neuron models", Proc. SPIE 10717, Saratov Fall Meeting 2017: Laser Physics and Photonics XVIII; and Computational Biophysics and Analysis of Biomedical Data IV, 107171Q (26 April 2018); https://doi.org/10.1117/12.2309626

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available