The microtubule-associated protein tau stabilizes microtubules in its physiological role, whereas it forms insoluble aggregates (paired helical filaments) in Alzheimer's disease. Soluble tau is considered a natively unfolded protein whose residual folding and intramolecular interactions are largely undetermined. In this study, we have applied fluorescence resonance energy transfer (FRET) and el...

We prove the existence and uniqueness of global solution for the nonlinear beam equation with initial boundary condition: Q in x f u g t u u M u u ) ( ) ( ) ( ) ( 2 2 2 = ′ + Δ ∇ − Δ + ′ ′ φ α where tt u t x u = ′ ′ ) , ( , t u t x u = ′ ) , ( , 0 > α , φ , , g M is nonlinear functions and Δ is Laplacian in n R .

A branch-and-bound procedure for the global solution of smooth, nonlinear SIPs has been developed. An upper-bounding problem is constructed using an inclusionconstrained reformulation of the infinite set of constraints, and a convex lowerbounding problem is derived from a discretized approximation of the SIP. Results are provided for a number of problems in the SIP literature.

We propose a new methodology for reliably solving the correspondence problem between sparse sets of points of two or more images. This is a key step in most problems of computer vision and, so far, no general method exists to solve it. Our methodology is able to handle most of the commonly used assumptions in a unique formulation, independent of the domain of application and type of features. I...

‎In this paper we focus on the Cauchy problem for the generalized‎ ‎IBq equation with damped term in $n$-dimensional space‎. ‎We establish the global existence and decay estimates of solution with $L^q(1leq qleq 2)$ initial value‎, ‎provided that the initial value is suitably small‎. ‎Moreover‎, ‎we also show that the solution is asymptotic to the solution $u_L$ to the corresponding linear equa...