While proteins are highly biochemically competent, DNA offers the ability to program, both reactions and the assembly of nanostructures, with a control that is unprecedented by any other molecule. Their joining: DNA-protein conjugates - offer the ability to combine the programmability of DNA with the competence of proteins to form novel tools enabling exquisite molecular control and the highest...

Compared with the rapidly expanding set of known biological roles for RNA, the known chemical diversity of cellular RNA has remained limited primarily to canonical RNA, 3'-aminoacylated tRNAs, nucleobase-modified RNAs, and 5'-capped mRNAs in eukaryotes. We developed two methods to detect in a broad manner chemically labile cellular small molecule-RNA conjugates. The methods were validated by th...

Several 2nd order nodal and edge elements have been applied in a potential formulation to solve 3D eddy current problems. The asymmetry of the facet related functions in the edge element basis is discussed. A new basis is proposed. Application of a gauge condition for the uniqueness of vector potential is cumbersome in the case of high order elements. This work shows that the system converges w...

Article history: Received 25 June 2014 Received in revised form 14 January 2015 Accepted 13 February 2015 Available online 19 February 2015

and Applied Analysis 3 Additionally, we assume that there exist positive constants γ and γ such that 0 < γ ≤ 󵄩󵄩󵄩gk 󵄩󵄩󵄩 ≤ γ, ∀k ≥ 1, (21) then we have the following result. Theorem2. Consider the method (2), (8) and (12), where d k is a descent direction. If (21) holds, there exist positive constants ξ 1 , ξ 2 , and ξ 3 such that relations

Correcting an inconsistent set of linear inequalities by minimal changes in problem data is a well studied problem and up to now several algorithms have been developed to do this task. In this paper, we consider doing the minimal correction using the l2 norm by changing just the right hand vector. A new formulation of the problem is introduced and its relation with the normal solution of the al...

In this paper, the Newton-conjugate-gradient methods are developed for solitary wave computations. These methods are based on Newton iterations, coupled with conjugategradient iterations to solve the resulting linear Newton-correction equation. When the linearization operator is self-adjoint, the preconditioned conjugate-gradient method is proposed to solve this linear equation. If the lineariz...

This study concerns the fast and accurate solution of the line radiation transfer problem, under non-LTE conditions. We propose and evaluate an alternative iterative scheme to the classical ALI-Jacobi method, and to the more recently proposed Gauss-Seidel and Successive Over-Relaxation (GS/SOR) schemes. Our study is indeed based on the application of a preconditioned bi-conjugate gradient metho...

Using an extension of some previously proposed modified secant equations in the Dai–Liao approach, a modified nonlinear conjugate gradient method is proposed. As interesting features, the method employs the objective function values in addition to the gradient information and satisfies the sufficient descent property with proper choices for its parameter. Global convergence of the method is est...