Journal
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
Volume 119, Issue 6, Pages -Publisher
NATL ACAD SCIENCES
DOI: 10.1073/pnas.2113620119
Keywords
inference method; biological rhythms; coupled oscillators; period variability; stochastic dynamical systems
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Funding
- Japan Society for the Promotion of Science KAKENHI [JP11J11148, JP19K03663, JP21K12056]
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In this paper, we propose theoretical methods to simultaneously infer coupling strength and noise intensity in two well-synchronized noisy oscillators through observations of spontaneously fluctuating events. Our methods do not require external perturbations and can be applied to various experimental systems.
Measurements of interaction intensity are generally achieved by observing responses to perturbations. In biological and chemical systems, external stimuli tend to deteriorate their inherent nature, and thus, it is necessary to develop noninvasive inference methods. In this paper, we propose theoretical methods to infer coupling strength and noise intensity simultaneously in two well-synchronized noisy oscillators through observations of spontaneously fluctuating events such as neural spikes. A phase oscillator model is applied to derive formulae relating each of the parameters to spike time statistics. Using these formulae, each parameter is inferred from a specific set of statistics. We verify these methods using the FitzHugh-Nagumo model as well as the phase model. Our methods do not require external perturbations and thus can be applied to various experimental systems.
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