Results 71 to 80 of about 1,236 (297)
The physical dimensions and shape of bacterial cells define the surface area available to acquire nutrients and the volume available for synthesizing proteins and DNA. Here, we use computational systems biology to decode the importance of cell geometry as a major determinant of prokaryotic phenotype, including growth rate and metabolic efficiency. This
Ross P. Carlson +6 more
wiley +1 more source
On some local spectral theory and bounded local resolvent of operator matrices [PDF]
We extend and generalize some results in local spectral theory for upper triangular operator matrices to upper triangular operator matrices with unbounded entries.
Abdelaziz Tajmouati +2 more
doaj +1 more source
On the equivalence between matrix riccati equations and Fredholm resolvents
AbstractIt is shown that the solution to every matrix Riccati equation can be generated by the resolvent of a certain Fredholm integral operator and, conversely, this resolvent can be determined from the corresponding Riccati solution. This result leads to a computational scheme, based on initial-value methods, for solving a large class of Fredholm ...
openaire +2 more sources
On the resolvent condition in the Kreiss matrix theorem [PDF]
The Kreiss Matrix Theorem asserts the uniform equivalence over all N x N matrices of power boundedness and a certain resolvent estimate. It is shown that the ratio of the constants in these two conditions grows linearly with N, and the optimal ...
Trefethen, L. N., Leveque, R. J.
core +1 more source
Proteostasis and the gut microbiota play a key role in shaping host physiology. Microbiota‐derived metabolites, vitamins, and RNA modulate host proteostasis. Findings from model systems, including C. elegans, indicate microbes can either stabilize or disrupt host proteostasis.
Abhishek Anil Dubey, Maria Ermolaeva
wiley +1 more source
Poles of matrix elements of the resolvent connected with the range in an oscillator-boson coupling [PDF]
In a simple model in which a harmonic oscillator is coupled to massless scalar bosons, we exhibit poles of matrix elements of the resolvent of the Hamiltonian which differ from those usually attributed to the excited levels of the isolated oscillator. We
C. Billionnet
core +1 more source
The representation of Nevanlinna Pick Problem is well known, see [7], [8] and [11]. The aim of this paper is to find the necessary and sufficient condition for the solution of Nevanlinna Pick Problem and to show that there is a one-to-one correspondence ...
A. A. El-Sabbagh
doaj +1 more source
From mice to humans—divergent strategies for intestinal homeostasis and regeneration
Recent advances such as organoid genome editing, xenotransplantation, imaging, and whole‐genome sequencing have enabled direct studies of human intestinal stem cells (ISCs). These studies reveal species‐specific features, including slower ISC proliferation, distinct injury responses, slower somatic mutation accumulation in humans, and an inverse ...
Keiko Ishikawa +2 more
wiley +1 more source
Quantum Scattering Theory in a Discrete Representation
The approach to solving few-body scattering problems in a discrete representation of the stationary wave packets is described briefly. By projecting into the wave-packet basis, all the operators and wave functions are represented with finite matrices and
Rubtsova O.A. +2 more
doaj +1 more source
Matrix biorthogonal polynomials on the real line: Geronimus transformations [PDF]
In this paper, Geronimus transformations for matrix orthogonal polynomials in the real line are studied. The orthogonality is understood in a broad sense, and is given in terms of a nondegenerate continuous sesquilinear form, which in turn is determined ...
Gerardo Ariznabarreta +3 more
doaj +1 more source

