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The model involves an approximate Boolean matrix factorization (BMF) of the interaction matrix, which identifies groups of regulatory elements acting on common mRNA UTRs, which we call clusters.
The A matrix is decomposed according to Famula [ 5]. (1) A = (I − 1 2 P ) − 1 D (I − 1 2 P ′ ) − 1, where I is the identity matrix, P is a lower triangular matrix which identifies the parents of each individual in the population.
Animals 4 and 5 are the progeny of 1 and 2, and animal 6 is the progeny of 3 and 5. See Figure 1. 1) When animals 4 and 5 are full sibs, the P matrix, which identifies the parents of the animals, is as follows: P = [ 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 0 0 0 1 0 1 0 ].
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Patterns of the flow of variables were isolated from each case and then matched and compared across the cases through the use of a matrix which identified both comparability and variability between the cases.
This method identifies the spatial matrices, namely mass matrix, damping matrix and stiffness matrix, which describe the properties of dynamic structures, using experimentally measured FRFs (Frequency Response Functions) within the frequency range of interest.
Differentiation of B10 cells into chondroblasts was determined by staining the cell pellets with Alcian blue which identifies proteoglycan extracellular matrix, specific components of cartilage tissues (Figures 2B D).
For the laser energy input per unit length of 80 120 kJ/m, a coherent interfacial layer with the thickness of 0.8 1.4 μm was formed between TiC reinforcing particles and the matrix, which was identified as (Ti,M C (M=Nb and Mo) layer.
To that end, in 1997 we created a matrix we called "The Big Picture," which identified parcels ripe for protection based on whether they contained ridgelines, creeks or wildlife corridors.
The matrix proteins were initially characterized using a variety of biochemical and molecular methods, which identified at least 10 major eggshell matrix proteins [ 5, 6, 8].
Each amplicon (or BAC of interest) in a 384-wells plate was identified by coordinates which identified positive line and column pools in a matrix.
To highlight the matrix-associated vascular channels formed by the MDA-MB-231 cells, they were stained with periodic acid-Schiff, which identified the glycogen and related mucopolysaccharides secreted by the cells to form the extracellular-matrix-rich channels.
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