Results 41 to 50 of about 519,621 (251)
Ascidian Ciona larvae initially show strong clockwise tail twisting, which is largely corrected during development. However, a small residual twist remains. This study shows that organized helical myofibrils in tail muscles mechanically stabilize this residual asymmetry, preventing complete restoration of bilateral symmetry and revealing how embryos ...
Yuki S. Kogure +3 more
wiley +1 more source
On the Growth of the Resolvent of a Toeplitz Operator
Summary: We study the growth of the resolvent of a Toeplitz operator \(T_b\), defined on the Hardy space, in terms of the distance to its spectrum \(\sigma(T_b)\). We are primarily interested in the case when the symbol \(b\) is a Laurent polynomial (i.e., the matrix \(T_b\) is banded).
Golinskii, Leonid +2 more
openaire +2 more sources
Extended resolvent of the heat operator with a multisoliton potential [PDF]
The heat operator with a general multisoliton potential is considered and its extended resolvent, depending on a parameter $q\in\R^2$ is derived. Its boundedness properties in all variables and its discontinuities in the parameter $q$ are given. As the result, the Green's functions are introduced and their properties are studied in detail.
BOITI, Marco +2 more
openaire +4 more sources
We present robust protocols for the preparation of supported lipid bilayers (SLBs) incorporating either Salmonella smooth LPS or outer membrane vesicles (OMVs). We use a combination of quartz crystal microbalance with dissipation (QCM‐D) and fluorescence microscopy to both characterize the SLBs of various compositions and to probe their interactions ...
Hudson P. Pace +6 more
wiley +1 more source
Spectrum of a family of operators [PDF]
Having as start point the classic definitions of resolvent set and spectrum of a linear bounded operator on a Banach space, we introduce the resolvent set and spectrum of a family of linear bounded operators on a Banach space.
Simona Macovei
doaj
Design and analysis strategies for robust microbiome ageing research
The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik +5 more
wiley +1 more source
Resolvent estimates for the magnetic Schrödinger operator [PDF]
We prove optimal high-frequency resolvent estimates for perturbations by large magnetic and electric ...
openaire +3 more sources
Reconstructing enzyme evolution by protein engineering
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 +2 more
wiley +1 more source
Bregman Distance and Strong Convergence of Proximal-Type Algorithms
The purpose of this paper is to discuss some fundamental properties of Bregman distance, generalized projection operators, firmly nonexpansive mappings, and resolvent operators of set-valued monotone operators corresponding to a functional Φ(∥·∥).
Li-Wei Kuo, D. R. Sahu
doaj +1 more source
On the resolvent of a dilation for polynomially bounded operators [PDF]
Let \(H\) be a separable complex Hilbert space and let \(T\) be in \(L(H)\). A subspace \(M\subset H\) is said to be semi-invariant for \(T\) if there exist invariant subspaces \(N_ 1\supset N_ 2\) for \(T\) such that \(M= N_ 1\ominus N_ 2\). The author proves that if \(T\) is polynomially bounded, then, for every \(\varepsilon> 0\), there exists a ...
openaire +1 more source

