This article describes in general terms how graphical modeling may be used to learn from biophysical time series data using the variational Bayesian expectation maximization algorithm (VBEM). The discussion is illustrated by the example of single-molecule fluorescence resonance energy transfer (smFRET) versus time data, where the smFRET time series is modeled as a hidden Markov model (HMM) with Gaussian observables. A detailed description of smFRET is provided as well.\n\nResults: The VBEM algorithm returns the model’s evidence and an approximating posterior parameter PF-6463922 distribution given the data.

The former provides a metric for model selection via maximum evidence (ME), and the latter a description of the model’s parameters learned from the data. ME/VBEM provide several advantages over the more commonly used approach of maximum likelihood (ML) optimized by the expectation maximization (EM) algorithm, the most important being a natural form of model selection and a well-posed (non-divergent) optimization problem.\n\nConclusions: The results demonstrate the utility of graphical modeling for inference of dynamic processes in single molecule biophysics.”
“Small angle neutron scattering experiments were

performed on agar solutions and gels to explore their differential microscopic structures. In solution state, the wave vector, q, dependence of static structure selleck chemical factor, I(q), could be described by I(q) = I(g)exp(-q(2)R(g)(2)/3)+I(R)q(-alpha).

VE-821 clinical trial Statistical analysis gave: R(g) = 18 nm and alpha = 0.85 +/- 0.07 indicating the existence of rod-like rigid structures of length, L = root 12 R(g) approximate to 63 nm. In gels, I(q)= I(G)exp(-q(2)E(2))+I(F)q(-beta)+(I(p)/q)exp(-q(2)R(c)(2)/2) which had discernible Gaussian, power-law and Kratky-Porod regimes in the low, intermediate and high-q regions. Regression analysis yielded a characteristic length, E = 3.3 – 4 nm for gels with agar concentration, c = 0.1 – 0.3% (w/v). The exponent beta = 1.2 +/- 0.2 and the cross-sectional radius of cylindrical fibres, R(c) 1.5 +/- 0.3 nm remained invariant of agar concentration. This assigned a value 5 mm to the persistence length of the fibres in the solution phase that reduced to 3 nm in the gel phase indicating differential hydration of the fibres. (C) 2009 Elsevier Ltd. All rights reserved.”
“The Winkler extraction is one of the two fundamental sampling techniques of the standardized “Ants of the Leaf Litter” protocol, which aims to allow qualitative and quantitative comparisons of ant (Hymenoptera: Formicidae) assemblages. To achieve this objective, it is essential that the standard 48-hour extraction provides a reliable picture of the assemblages under study. Here, we tested to what extent the efficiency of the ant extraction is affected by the initial moisture content of the leaf litter sample.