A major task in computational analysis of mRNA expression profiles is definition of relationships among profiles on the basis of similarities among them. This is generally achieved by pattern recognition in the distribution of data points representing each profile in a high-dimensional space. Some drawbacks of commonly used pattern recognition algorithms stem from their use of a globally linear...

OBJECTIVE Analysis of the crosslink time, depth and efficacy profiles of UV-light-activated corneal collagen crosslinking (CXL). METHODS A modeling system described by a coupled dynamic equations are numerically solved and analytic formulas are derived for the crosslinking time (T*) and crosslinking depth (z*). The z-dependence of the CXL efficacy is numerically produced to show the factors c...

Proteins play fundamental roles in all biological processes. Akin to the complete sequencing of genomes, complete descriptions of protein structures is a fundamental step towards understanding biological life, and is also highly relevant in the development of therapeutics and drugs. Computational prediction methods, especially template-based modeling, can quickly generate crude but useful struc...

Background: Although autism and epilepsy are considered to be different disorders, epileptiform EEG activity is common in people with autism even when overt seizures are not present. The relatively high comorbidity between autism and all epilepsy syndromes suggests the possibility of common underlying neurophysiological mechanisms. Although many different epilepsies may be comorbid with autism,...

The goal of this paper is to state the optimal decay rate for solutions of the nonlinear fast diffusion equation and, in self-similar variables, the optimal convergence rates to Barenblatt self-similar profiles and their generalizations. It relies on the identification of the optimal constants in some related Hardy-Poincaré inequalities and concludes a long series of papers devoted to generaliz...

The influence of the Kerr-like nonlinearity in the switching characteristics of fiber Bragg gratings is studied. Two types of apodization profiles are considered: uniform and raisedcosine apodized gratings. The influence of the bit-rate and the wavelength detuning of the incident pulses in the nonlinear response of the grating is analyzed. The deterioration in the pulses caused by the nonlinear...