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Phys Rev E Stat Nonlin Soft Matter Phys. 2004 Jan;69(1 Pt 2):017201. Epub 2004 Jan 26.

Analytical coupling detection in the presence of noise and nonlinearity.

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Krasnow Institute for Advanced Studies, George Mason University, Fairfax, Virginia 22030, USA.


A rigorous analytical approach is developed to test for the existence of a continuous nonlinear functional relationship between systems. We compare the application of this nonlinear local technique to the existing analytical linear global approach in the setting of increasing additive noise. For natural systems with unknown levels of noise and nonlinearity, we propose a general framework for detecting coupling. Lastly, we demonstrate the applicability of this method to detect coupling between simultaneous, experimentally measured, intracellular voltages between neurons within a mammalian neuronal network.

[Indexed for MEDLINE]

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