Results 51 to 60 of about 5,984 (300)
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
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
Ordinary and calibrated differential operators, connections and application to curvilinear webs
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
Bispectral commutative ordinary differential operators.
Let \(A\) be a commutative algebra of ordinary differential operators. We say \(A\) is bispectral if there is a family \(\psi(x,z)\) of joint eigenfunctions for the operators in \(A\) that also satisfies a differential equation of the form \(\Lambda\psi= \theta(x)\psi\), where \(\Lambda\) is some ordinary differential operator in the spectral parameter
openaire +1 more source
Commutants of ordinary differential operators
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
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
Drosophila park mutants serve as a model for Parkinson's disease. We used this strain to investigate the connection between oxidative stress and the circadian clock mechanism. We showed that increased oxidative stress affects the physiology of pacemaker cells, disrupting their daily structural plasticity. Lack of rhythmic signaling from pacemaker cells
Kamila Zientara +3 more
wiley +1 more source
Spectral analysis of singular ordinary differential operators with indefinite weights
In this paper we develop a perturbation approach to investigate spectral problems for singular ordinary differential operators with indefinite weight functions.
Jussi Behrndt, Friedrich Philipp
core
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
Functional Determinants for Radially Separable Partial Differential Operators
Functional determinants of differential operators play a prominent role in many fields of theoretical and mathematical physics, ranging from condensed matter physics, to atomic, molecular and particle physics.
G. V. Dunne
doaj

