In our approach we have first grouped genes on the basis of function, in this case on the basis of the complexes which the proteins encoded by the genes are components of, and subsequently analysed changes in gene expression of the muscle system within the context of wider gene expression profiles.
Then ({e_{mathbf{q}}(mathbf{x})}_{mathbf{q}inOmega}) forms a basis of the space of functions in (mathbb{T}^{d}) that satisfy Neumann boundary conditions.
A pseudospectral method that employs a tensor product basis of Fourier functions in the cyclic coordinate η and Chebyshev polynomials in the quasi-radial coordinate ξ gives easy-to-program spectral accuracy.
This set of novel genes lacking orthologs in zebra finch or chicken should be primary targets in subsequent analyses aimed at characterizing the genetic basis of novel functions in the lineage leading to the house finch.
Given the recent association of RECQ1 mutations with breast cancer, these results will contribute to understanding the molecular basis of RECQ1 functions in cancer etiology.
Approximately 50% of these have been annotated, largely on the basis of known functions in Drosophila melanogaster [40].
A cubic interpolation spline can be described either by a set of knots and the corresponding four coefficients for each polynomial piece or by a linear combination of a set of basis functions in the basis spline (B-spline) notation.
Also, let N α = { 1, 2, …, n α, α ∈ D } be the index set of number of basis functions in each dimension, and p D = { p 1, …, p d } and N D = { ⊗ α ∈ D N α } be the index set of polynomial order and number of basis functions, respectively, in all dimensions.
In the proposed method, there is a necessity to modify the cubic B-spline basis functions into a new set of basis functions in such manner, so we obtained a diagonally dominant system of differential equations for handling with Dirichlet boundary conditions.
The network output Y is formed by a linearly weighted sum of the number of basis functions in the hidden layer.
