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. 2009 Dec 4;5(12):e1000587. doi: 10.1371/journal.pcbi.1000587

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Deco et al.

This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are properly credited.

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A: Stationary distribution of the rate variable of the system (1)–(3) with parameter values , , . Blue: normalized histogram of the simulated data. Black: maximum likelihood fit of the stationary distribution, using a piecewise quadratic approximation. Red: estimated energy function. Black dashed: original energy function. B: Distribution of the residence times in each of the attractors. Due to the symmetry of the system when , the two attractor states share the same statistical properties; here we show only the distribution of residence times in the left attractor, . Red and black curves are, respectively, the distributions estimated from the original stochastic Equation (1) and from the reconstructed system. C: Error in the estimation of the true energy function, as a function of the number of data points. Error bars are mean squared errors.

Inline graphic — A: Stationary distribution of the rate variable of the system (1)–(3) with parameter values , , . Blue: normalized histogram of the simulated data. Black: maximum likelihood fit of the stationary distribution, using a piecewise quadratic approximation. Red: estimated energy function. Black dashed: original energy function. B: Distribution of the residence times in each of the attractors. Due to the symmetry of the system when , the two attractor states share the same statistical properties; here we show only the distribution of residence times in the left attractor, . Red and black curves are, respectively, the distributions estimated from the original stochastic Equation (1) and from the reconstructed system. C: Error in the estimation of the true energy function, as a function of the number of data points. Error bars are mean squared errors.