Results 61 to 70 of about 87,253,677 (294)

First kind integral equations for the numerical solution of the plane Dirichlet problem [PDF]

, 1985
summary:We present, in a uniform manner, several integral equations of the first kind for the solution of the two-dimensional interior Dirichlet boundary value problem. We apply a general numerical collocation method to the various equations, and thereby
M. S. Abou El‐Seoud, Christiansen, Søren   +1 more
core   +1 more source

Emerging experimental and computational methods for studying redox‐regulated structural transitions

FEBS Letters, EarlyView.
Redox reactions can reshape proteins and alter how they behave in cells, with important consequences for health and disease. This review explores emerging experimental and computational approaches for discovering these redox‐sensitive protein switches, revealing their structural effects, and predicting their behavior, opening new opportunities to ...
Tasneem Rass, Dana Reichmann, Gábor Erdős   +2 more
wiley   +1 more source

Finite-part singular integral approximations in Hilbert spaces

International Journal of Mathematics and Mathematical Sciences, 2004
Some new approximation methods are proposed for the numerical evaluation of the finite-part singular integral equations defined on Hilbert spaces when their singularity consists of a homeomorphism of the integration interval, which is a unit circle, on ...
E. G. Ladopoulos, G. Tsamasphyros, V. A. Zisis   +2 more
doaj   +1 more source

Synergistic perspectives—How single‐molecule biophysics complement biochemical understanding

FEBS Letters, EarlyView.
In this review, we discuss how ensemble biochemistry and single‐molecule approaches are complementary, outline commonly used single‐molecule techniques, and illustrate their relevance through two representative case studies: chromatin organization by SMC complexes and pathway choice during DNA double‐strand break repair.
Sara De Bragança, Eline L. Jansen, Jorine M. Eeftens   +2 more
wiley   +1 more source

Functional comparison of EncB and EncC cargo proteins in iron storage within the Myxococcus xanthus encapsulin

FEBS Letters, EarlyView.
Encapsulins are protein nanocompartments that play an important role in iron storage. In the Myxococcus xanthus encapsulin system, two cargo proteins called EncB and EncC contribute to iron mineralization. Here, we show that EncB and EncC generate iron‐containing minerals with distinct chemical compositions, suggesting that the composition of stored ...
Harry B. McDowell, Thomas Walther, Egbert Hoiczyk   +2 more
wiley   +1 more source

Accelerated Exponentially Fitted Operator Method for Singularly Perturbed Problems with Integral Boundary Condition

International Journal of Differential Equations, 2020
In this paper, we consider a class of singularly perturbed differential equations of convection diffusion type with integral boundary condition. An accelerated uniformly convergent numerical method is constructed via exponentially fitted operator method ...
Habtamu Garoma Debela, Gemechis File Duressa   +1 more
doaj   +1 more source

Structural and biochemical analysis of a B12 superbinder

FEBS Letters, EarlyView.
BtuG proteins are vitamin B12 scavengers in Bacteroides thetaiotaomicron, a dominant human gut bacterium. We present crystal structures of three BtuG homologs bound to cobalamin and its precursor cobinamide, revealing picomolar binding affinities, among the highest known for any natural protein.
Jose M. Martinez Felices, Jacob J. Whittaker, Dirk J. Slotboom, Albert Guskov   +3 more
wiley   +1 more source

Localized boundary-domain integral formulations for problems with variable coefficients [PDF]

, 2002
Specially constructed localized parametrixes are used in this paper instead of a fundamental solution to reduce a boundary value problem with variable coefficients to a localized boundary-domain integral or integro-differential equation (LBDIE or LBDIDE).
Mikhailov, SE
core   +3 more sources

A Reliable Numerical Treatment of Differential Equations via Hybrid Bernstein and Improved Block-Pulse Functions [PDF]

Egyptian Journal of Pure and Applied Science
Many branches of practical mathematics rely heavily on numerical solutions to initial value problems, boundary value problems, and eigenvalue problems for ordinary and partial differential equations.
Mohamed Ramadan, Heba Osheba
doaj   +1 more source

Two numerical methods for Abel's integral equation with comparison [PDF]

Revue Africaine de Recherche en Informatique et Mathématiques Appliquées, 2012
Analogy between Abel's integral equation and the integral of fractional order of a given function, j^α f(t), is discussed. Two different numerical methods are presented and an approximate formula for j^α f(t) is obtained. The first approach considers the case when the function, f(t), is smooth and a quadrature formula is obtained. A modified formula is
openaire   +2 more sources