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In the second step, the normalized eigenvector matrix is utilized to obtain the normalized stiffness matrix; in turn, this matrix is decomposed into the stiffness and mass matrices of the system.

The Cabibbo Kobayashi Maskawa matrix, in turn, expresses the fact that the basic quark states that are important for weak interactions are not the same as, but linearly related to the basic quark states that define particles with specific and distinct masses.

This last matrix, in turn, gives the coordinates of the active sequences in the active space formed by the eigenvectors (also called principal components) of S. We can map the sequence space of the human GPCRs onto the 3D space formed by the three components with the largest eigenvalues.

The resulting proteolysed matrix, in turn, promotes further tumour growth and invasion (Hornebeck and Maquart, 2003).

The disturbed matrix, in turn, influences the osteoblasts by inducing upregulation of type I collagen mRNA and downregulation of osteocalcin mRNA.

Chondrocytes synthesize and catabolize ECM macromolecules, while the matrix in turn functions to maintain the homeostasis of the cellular environment and the structure of cartilage.

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These matrices, in turn, are combined into a final co-association matrix M C. Finally, we apply the classical hierarchical clustering algorithm UPGMA (unweighted pair group method with arithmetic mean) [27] in the matrix M C, producing a hierarchical clustering model of documents.

Liu, et al. [41, 42, 43], proposed a shape control matrix model, a dynamic matrix model and a mechanism-intelligence collaboration matrix model in turn based on the relation between the shape control means and the shape standard patterns.

This highly ordered and organized extracellular matrix can in turn contact with the extracellular matrix of the neighbor cells and lead to the formation of large scale cytoskeleton organization as shown in Figure 9(c).

Under pathological conditions the normal remodeling balance is disturbed replacing original proteins of the ECM with different matrix components, in turn leading to an altered composition and quality of the matrix (Karsdal et al., 2013a).

The approximate inverse of such a matrix can be provided to a high degree of accuracy by another handed matrix, which in turn can be used to work out the approximate finite difference scheme corresponding to the ASWR finite element method, and further to calculate estimates of the local truncation errors of the numerical scheme.

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