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The final propensity matrix is shown in Supplementary Table S1.
After estimating the propensities, we could obtain complexes using the estimated propensity matrix Θ = [ θ ik ].
We choose the execution that the estimated propensity matrix gives the minimal value of L in (5).
The information in this dataset was used to calculate a propensity matrix, giving the compatibility of each conservation class with each accessibility class (Section 2.3, and Supplementary Table S1).
Three main steps in PLSMC are as follows: (1) get subnetworks from the input PPI network; (2) compute the weight matrix and initialize the propensity matrix with random values for each subnetwork; (3) estimate protein propensities in each subnetwork; (4) identify complexes of proteins using the postprocessing step.
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We also tried using the PISA biological unit or the isolated chain, but the propensity matrices generated were very similar (data not shown).
It is found that upon cooling a composite containing ductile inclusions, the propensity for matrix cracking is maximized for reinforcement shapes close to that of a sphere.
An increased propensity for extracellular matrix (ECM) remodeling is suggested by elevated expression of matrix metalloproteinases (Mmp3, Mmp9 and Mmp13), urokinase-type plasminogen activator (Plau) and secreted protease inhibitors (Serpina3g, Serpin2 and Lcn2).
Studies have indicated that both vascular smooth muscle cells [ 17] and macrophages [ 26▪▪] have the propensity to release calcifying matrix vesicles, and matrix vesicles have been observed in calcific regions within human and mouse atheromas [ 20].
In the truncated state-space, Eq.3 iii) is represented as: (5) L ^ P ^ s s = 0 where L ^ is a matrix of propensities in Ω ^.
For example, the same phylogenies are produced when using characters that describe the topology of tRNA or characters that describe a molecular morphospace [100] defined by the Shannon entropy of the base-pairing probability matrix, base-pairing propensity, and mean length of helical stem structures of tRNA molecules [28].
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