Resolving these issues is one of the designer's principal responsibilities and requires careful consideration of all the issues, including choice of materials such as which ceramic refractories are appropriate and methods of accommodating differential expansion.
By using the stability theories and methods of ordinary differential equation, we proved that the disease-free equilibrium is globally asymptotically stable when R0 < 1, whilst the system is uniformly persistence when R0 > 1.
We, hence, addressed in the 'Numerical simulations' section numerical methods to compute the solutions of these equations, in the probabilistic framework, using the convergence result of the network equations to the mean-field limit and standard integration methods of differential equations or in the Fokker-Planck framework.
For theoretical development and methods of solution for fractional differential equations, see the books [1 6] and references therein.
We also applied our approach to the comparative estimation of the quality of data preprocessing (normalization) and the performance of the methods of differential gene expression analysis.
The relaxation processes of hybrid organic-inorganic polymer nanosystems (OIS) synthesized by joint polymerization of organic and inorganic components were studied using methods of differential scanning calorimetry (DSC), dynamic mechanical thermal analysis (DMTA), and broadband dielectric relaxation spectroscopy (DRS).
It is shown that the DSC with proposed method to apply the simply supported boundary conditions yields very accurate results as compared to exact solutions or results obtained by methods of differential quadrature and finite element with fine meshes.
Using the methods of differential subordination and superordination, sufficient conditions involving the Schwarzian derivative of a normalized analytic function are obtained so that either or.
We developed and integrated a set of computational methods of differential gene expression analysis, gene clustering, gene network inference, gene function prediction, and DNA motif identification to automatically identify differentially co-expressed gene modules, reconstruct their regulatory networks, and validate their correctness.
The methods of differential gene expression and enrichment analysis are implemented in the R-program 'oposSOM' available as CRAN package.
