Results 41 to 50 of about 4,356 (261)
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
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FEBS Letters, EarlyView.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
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Bispectral commutative ordinary differential operators.
Journal für die reine und angewandte Mathematik (Crelles Journal), 1993 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
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FEBS Letters, EarlyView.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
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Modelling stem cell differentiation related processes—A practical overview for biologists
FEBS Letters, EarlyView.Stem cell differentiation is complex and difficult to control experimentally. This review introduces suitable computational modelling approaches that can support stem cell research, from mechanistic ODE and abstract models to multiscale and deep learning methods.
Ricco Zeegelaar +4 more
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Functional Determinants for Radially Separable Partial Differential Operators
Acta Polytechnica, 2007 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
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Solution of the inverse spectral problem for differential operators on a finite interval with complex weights [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. ИнформатикаNon-self-adjoint second-order ordinary differential operators on a finite interval with complex weights are studied. Properties of spectral characteristics are established, and the inverse problem of recovering operators from their spectral ...
Yurko, Vjacheslav Anatol'evich
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Design and analysis strategies for robust microbiome ageing research
FEBS Letters, EarlyView.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
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Cyclic (noncyclic) phi-condensing operator and its application to a system of differential equations
Nonlinear Analysis, 2019 We establish a best proximity pair theorem for noncyclic φ-condensing operators in strictly convex Banach spaces by using a measure of noncompactness. We also obtain a counterpart result for cyclic φ-condensing operators in Banach spaces to guarantee the
Moosa Moosa Gabeleh +2 more
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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 +2 more
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