Results 41 to 50 of about 2,195,788 (280)

Nonpoint Symmetry and Reduction of Nonlinear Evolution and Wave Type Equations

Abstract and Applied Analysis, 2015
We study the symmetry reduction of nonlinear partial differential equations with two independent variables. We propose new ansätze reducing nonlinear evolution equations to system of ordinary differential equations.
Ivan Tsyfra, Tomasz Czyżycki
doaj   +1 more source

Reconstructing enzyme evolution by protein engineering

FEBS Letters, EarlyView.
Natural enzyme evolution can be retraced by protein engineering methods such as directed evolution, rational design, and ancestral sequence reconstruction. These approaches reveal how enzymes emerged from ligand‐binding scaffolds, developed varying substrate preferences, formed oligomeric complexes, adapted to environmental changes, and evolved novel ...
Lukas Drexler, Markus R. Busch, Reinhard Sterner   +2 more
wiley   +1 more source

Monomiality Principle and Eigenfunctions of Differential Operators

International Journal of Mathematics and Mathematical Sciences, 2011
We apply the so-called monomiality principle in order to construct eigenfunctions for a wide set of ordinary differential operators, relevant to special functions and polynomials, including Bessel functions and generalized Gould-Hopper polynomials.
Isabel Cação, Paolo E. Ricci
doaj   +1 more source

Peripheral lysosomes recruit PLEKHG3 to focal adhesions and restrain protrusion dynamics

FEBS Letters, EarlyView.
Proximity‐dependent labeling at the LAMTOR complex revealed the Rho GEF PLEKHG3 as a lysosome‐proximal protein directing the study toward the influence of lysosome positioning on actin dynamics and cell motility. We show that PLEKHG3 colocalizes with lysosomes at focal adhesion sites and observe that forced peripheral dispersion of lysosomes hinders ...
Rainer Ettelt, Ana‐Maria Sandru, Georg Vucak, Sebastian Didusch, Biljana Riemelmoser, Karin Ehrenreiter, Markus Hartl, Lukas A. Huber, Manuela Baccarini   +8 more
wiley   +1 more source

Adjoint and self-adjoint differential operators on graphs

Electronic Journal of Differential Equations, 1998
A differential operator on a directed graph with weighted edges is characterized as a system of ordinary differential operators. A class of local operators is introduced to clarify which operators should be considered as defined on the graph.
Robert Carlson
doaj  

Ordinary and calibrated differential operators, connections and application to curvilinear webs

Pracì Mìžnarodnogo Geometričnogo Centru
Abelian relations of a curvilinear web are the solutions of the partial differential equation defined by a certain differential operator that we prove to be always "ordinary" and "calibrated".
Daniel Lehmann
doaj   +1 more source

The Method of Coupled Fixed Points and Coupled Quasisolutions When Working with ODE’s with Arguments of Bounded Variation

Abstract and Applied Analysis, 2013
The aim of this paper is to show the use of the coupled quasisolutions method as a useful technique when dealing with ordinary differential equations with functional arguments of bounded variation.
Rubén Figueroa
doaj   +1 more source

Commutants of ordinary differential operators

Journal of Differential Equations, 1980
This paper is concerned with the algebraic and analytic structure of the commutant g’(L) of a regular ordinary differential operator L with Cz matrix-valued coefficients. The main algebraic result is that V(L) is a free module of rank at most EW over the polynomial ring U&L], where K is the six of the matrices in the coefficients of L and n is the ...
Carlson, R.C, Goodearl, K.R
openaire   +2 more sources

Golgi enzymes are retrieved from the plasma membrane to the trans‐Golgi network

FEBS Letters, EarlyView.
Golgi enzymes are traditionally considered resident proteins retained within the Golgi apparatus. Here, we demonstrate that a subset transiently reaches the cell surface and is subsequently retrieved to the trans‐Golgi network via retrograde transport. Using a nanobody‐based toolkit, we uncover a dynamic trafficking cycle of several Golgi enzymes.
Dominik P. Buser, Tina Junne
wiley   +1 more source

Uniform Convergence of the Spectral Expansion for a Differential Operator with Periodic Matrix Coefficients

Boundary Value Problems, 2008
We obtain asymptotic formulas for eigenvalues and eigenfunctions of the operator generated by a system of ordinary differential equations with summable coefficients and the quasiperiodic boundary conditions.
O. A. Veliev
doaj   +2 more sources