Results 31 to 40 of about 1,454 (252)

The intersection multiplicity of compact $n$-dimensional metric spaces [PDF]

Proceedings of the American Mathematical Society, 1972
It is shown that there is an integer ft(n) such that any compact «-dimensional metric space M has intersection multiplicity at most ii(n). That is, if * is an open cover of M, then there is an open cover y refining 9/ such that any element of y can intersect at most /i(n) other elements of V. For any open cover °tt of a topological space X define m(fi?)
openaire   +1 more source

Rational contraction in multiplicative metric spaces

Advances in the Theory of Nonlinear Analysis and its Application, 2018
The purpose of this paper is to prove that instead of a rational contraction shown in the papers  Afrah A. N. Abdou, \emph{Fixed point theorems for generalized contraction mappings in multiplicative metric spaces, }J. Nonlinear Sci.Appl. 9, 2347-2363,  (2016) and N. Sharma, K. Kumar, S. Sharma, R.
Tatjana DOSENOVIC, Stojan RADENOVIC
openaire   +2 more sources

On multiplicators in Hölder spaces with nonhomogeneous metric [PDF]

Methods and Applications of Analysis, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Stability of mappings on multi-normed spaces [PDF]

, 2007
In this paper, we define multi-normed spaces, and investigate some properties of multi-bounded mappings on multi-normed spaces. Moreover, we prove a generalized Hyers–Ulam–Rassias stability theorem associated to the Cauchy additive equation for mappings ...
Dales, H.G., H. G. Dales, Mohammad Sal Moslehian, Moslehian, Mohammad Sal   +3 more
core  

Cell geometry and membrane protein crowding constrain Escherichia coli growth rate, overflow metabolism, respiration, and maintenance energy

FEBS Letters, EarlyView.
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, Tomáš Gedeon, Mauricio Garcia Benitez, Campbell Putnam, William R. Harcombe, Radhakrishnan Mahadevan, Ashley E. Beck   +6 more
wiley   +1 more source

Electron transfer between complexes III and IV in S. cerevisiae mitochondrial membranes

FEBS Letters, EarlyView.
Mitochondrial oxidative phosphorylation in S. cerevisiae mitoplasts is limited by complex IV catalytic capacity, rather than two‐dimensional cytochrome c diffusion. At physiological cytochrome c : supercomplex ratios at salinity equivalent to that of 20 mm monovalent salt, activity is maximized, indicating that this low ionic strength accurately mimics
Ana Paula Lobez, Mikael Oliveberg, Peter Brzezinski   +2 more
wiley   +1 more source

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, İsmail Güderer, Yi Wang, Tayyaba Alvi, Prasoon Pandey, Handan Melike Dönertaş   +5 more
wiley   +1 more source

Interpreting the effects of DNA polymerase variants at the structural level

Molecular Oncology, EarlyView.
Using MAVISp and molecular dynamics simulations, we analyzed over 60 000 missense variants in POLE and POLD1 from ClinVar, COSMIC, cBioPortal, and saturation mutagenesis. Identified mechanistic indicators, including stability, binding, and long‐range, enable structural interpretation, providing ACMG‐like evidence for possible reclassification of VUS ...
Matteo Arnaudi, Karolina Krzesińska, Ludovica Beltrame, Pablo Sánchez‐Izquierdo Besora, Matteo Tiberti, Mef Nilbert, Anna Rohlin, Elena Papaleo   +7 more
wiley   +1 more source

Longitudinal genome‐wide aneuploidy measurements in circulating cell‐free DNA to predict lack of benefit from pembrolizumab in patients with metastatic urothelial cancer

Molecular Oncology, EarlyView.
Many patients with urothelial cancer do not benefit from treatment with pembrolizumab, while at risk of severe side effects. Changes in the levels of circulating tumor DNA early during treatment, measured by a simple and affordable assay that can be easily implemented in the clinic, can be used as a prognostic tool to identify these patients.
Youssra Salhi, Stavros Makrodimitris, Sandra van Wilpe, Iris te Paske, Vanja de Weerd, Corine M. Beaufort, Hans M. Westgeest, Jens Voortman, Maureen J. B. Aarts, Maud Rijnders, Astrid A. M. van der Veldt, Ronald de Wit, Niven Mehra, Saskia M. Wilting, Debbie G. J. Robbrecht   +14 more
wiley   +1 more source

Some coupled fixed point theorems on multiplicative metric spaces with an application

, 2022
This article aims to prove some coupled fixed point (FP) theorems for nonlinear contractive type mapping in multiplicative metric space (MM-space). Our presented work consists of the maximum type and some other expressions in the framework of MM-space ...
Arshad, Muhammad, Jaradat, Mohammed M.M., Hussain, Baqir, Ur Rehman, Saif, Khan, Sami Ullah   +4 more
core   +1 more source