Protein Stability Problems

Protein Stability, Folding, Disaggregation and Etiology of Conformational Malfunctions

Estimation of protein stability is important for many reasons: first providing an understanding of the basic thermodynamics of the process of folding, protein engineering, and protein stability plays important role in biotechnology especially in food and protein drug design. Today, proteins are used in many branches, including industrial processes, pharmaceutical industry, and medical fields. A...

Multigrid method for stability problems

The problem of calculating the stability of steady state solutions of differential equations is treated. Leading eigenvalues (i.e., having maximal real part) of large matrices that arise from discretization are to be calculated. An efficient multigrid method for solving these problems is presented. The method begins by obtaining an initial approximation for the dominant subspace on a coarse lev...

Stability Problems in ODE Estimation

The aim is to compare and contrast the stability of the estimation method based on the embedding of the estimation problem into an optimally posed two-point boundary value problem with that of the simultaneous method which is boundary value free and which imposes the discretization of the differential equation as a set of equality constraints. The embedding method leads to an unconstrained opti...

Bayes Decision Problems and Stability

Recent years have seen excellent progress in the ability of Bayesians to compute posterior and predictive quantities of interest. This progress adds to the importance that must be placed on what the inputs to those computations should be, that is, what likelihood, prior and loss function to use. While there are various standpoints on these questions, the one we find most satisfying in principle...

Model Problems in Numerical Stability Theory for Initial Value Problems