Results 51 to 60 of about 173,772,216 (255)
Spectral Theory for Linear Operators
, 2018 This chapter covers fundamental results on the spectral theory, including Fredholm alternative theorem and Nussbaum’s theorem on the radius of essential spectrum for bounded linear operators; growth bound and essential growth bound of linear operators ...
Pierre Magal +3 more
core +1 more source
Hadamard’s Variational Formula for Simple Eigenvalues
AppliedMathHere, we study Hadamard’s variational formula for simple eigenvalues under dynamical and conformal deformations. Particularly, harmonic convexity of the first eigenvalue of the Laplacian under the mixed boundary condition is established for a two ...
Takashi Suzuki, Takuya Tsuchiya
doaj +1 more source
Tumour–host interactions in Drosophila: mechanisms in the tumour micro‐ and macroenvironment
Molecular Oncology, EarlyView.This review examines how tumour–host crosstalk takes place at multiple levels of biological organisation, from local cell competition and immune crosstalk to organism‐wide metabolic and physiological collapse. Here, we integrate findings from Drosophila melanogaster studies that reveal conserved mechanisms through which tumours hijack host systems to ...
José Teles‐Reis, Tor Erik Rusten
wiley +1 more source
A Theorem of Rolewicz's Type for Measurable Evolution Families in Banach Spaces [PDF]
, 2001 Let $varphi$ be a positive and non-decreasing function defined on the real half-line and ${mathcal U}$ be a strongly measurable, exponentially bounded evolution family of bounded linear operators acting on a Banach space and satisfing a certain ...
Constantin Buse +3 more
core
Rank Test Based On Matrix Perturbation Theory [PDF]
In this paper, we propose methods of the determination of the rank of matrix. We consider a rank test for an unobserved matrix for which an estimate exists having normal asymptotic distribution of order N1/2 where N is the sample size. The test statistic
Zaka Ratsimalahelo
core +2 more sources
Molecular Oncology, EarlyView.Matched spatial transcriptomics and single‐nuclei RNA‐seq were generated for anaplastic and BRAFV600E papillary thyroid cancers revealing generic and tumor‐specific states occurring in cancer cells and in the tumor microenvironment. In this context, cancer dedifferentiation mirrored organoid maturation through ordered thyroid marker gain/loss ...
Adrien Tourneur +11 more
wiley +1 more source
Norm and Numerical Radius Inequalities for Two Linear Operators in Hilbert Spaces [PDF]
, 2008 Some inequalities for the norm and numerical radius of two bounded linear operators in Hilbert spaces are ...
Dragomir, Sever S
core +2 more sources
Molecular Oncology, EarlyView.This study identifies somatostatin receptor 4 (Sstr4) as a critical tumor suppressor against skin and head/neck cancers (HNSCC, cSCC, and BCC). The loss of Sstr4 removes a check on cell growth, causing hyperactivation of the MAPK‐ERK signaling pathway (↑).
Ali Taqvi +6 more
wiley +1 more source
Constructing Linear Operators Using Classical Perturbation Theory
Journal of Guidance, Control, and DynamicsThis work introduces a methodology for generating linear operators that approximately represent nonlinear systems of perturbed ordinary differential equations. This is done through the application of classical perturbation theory via the Lindstedt–Poincaré expansion, followed by an extension of the space of configuration that guarantees the linear ...
Miguel Avillez, David Arnas
openaire +2 more sources
Molecular Oncology, EarlyView.Extracellular vesicle (EV) lipidomic profiling of plasma and ascites from patients with high‐grade serous ovarian cancer and of ovarian cancer cell lines reveals enrichment of triglycerides (TGs), diacylglycerols (DGs), phosphatidylcholine (PCs), sphingomyelins (SMs), reflecting tumor metabolic reprogramming.
Shikha Rani +9 more
wiley +1 more source