Amine Belhadi, Sachin S. Kamble, Karim Zkik et al.
Hasil untuk "math.GM"
Menampilkan 20 dari ~1097673 hasil · dari CrossRef, DOAJ, arXiv
Raúl R. Rodríguez-Berríos, José A. Prieto
Hydroxymethyl 1,3-diol motifs are common structural motifs in natural products, particularly in polypropionates with important therapeutic potential. However, general and complementary methods for their regio- and diastereoselective synthesis remain limited. In this study, we expanded a second-generation epoxide-based methodology involving the regioselective cleavage of TIPS-monoprotected cis- and trans-2,3-epoxy alcohols using alkenyl Grignard reagents. Regioselective ring opening of cis-epoxides provided anti-1,3-diols, while trans-epoxides afforded the corresponding syn-1,3-diols. The use of cis-propenylmagnesium bromide and vinyl Grignard reagents enabled direct access to cis- and terminal homoallylic 1,3-diols, respectively, with moderate to good yields (46–88%) and excellent regioselectivities (95:5). In contrast, reactions with trans-propenyl Grignard reagent led to partial alkene isomerization, limiting their synthetic utility. To address this, a complementary two-step approach employing propynyl alanate addition followed by sodium/ammonia reduction was incorporated, providing access to trans-homoallylic 1,3-diols with high diastereoselectivity. All 1,3-diols were characterized by NMR spectroscopy, confirming regioselective epoxide opening. These combined strategies offer a practical and modular platform for the synthesis of syn- and anti-hydroxymethylated 1,3-diols and their application to the construction of polypropionate-type fragments, supporting future efforts in the total synthesis of polyketide natural products.
Leo Fried
A monograph on the theory of tournament design focusing on brackets and multibrackets in particular.
Romeo Meštrović
Robert Frontczak
In this paper, we introduce three new classes of binomial sums involving Fibonacci (Lucas) numbers and weighted binomial coefficients.
Shibo Xu, Juan del Pozo, Filippo Romiti et al.
Farzad Shahi
This text is an introductory review of the basic concepts of the theory of semi-Riemannian geometry on real finite-dimensional manifolds without boundary.
Farzad Shahi
This is a review of the fundamental concepts of general topology.
Roy Burson
In this work we study the Naiver-Stokes equations under the presence of no gravitational forces.
Lech Pasicki
In this note a far extension of the Banach fixed point theorem is proved.
Yutaka Kondo, Carola Ledderose, Christian J Slubowski et al.
Abstract Bacterial infections and sepsis are leading causes of morbidity and mortality in critically ill patients. Currently, there are no effective treatments available to improve clinical outcome in sepsis. Here, we elucidated a mechanism by which Escherichia coli (E. coli) bacteria impair neutrophil (PMN) chemotaxis and we studied whether this mechanism can be therapeutically targeted to improve chemotaxis and antimicrobial host defense. PMNs detect bacteria with formyl peptide receptors (FPR). FPR stimulation triggers mitochondrial ATP production and release. Autocrine stimulation of purinergic receptors exerts excitatory and inhibitory downstream signals that induce cell polarization and cell shape changes needed for chemotaxis. Here we show that the bacterial cell wall product LPS dose-dependently impairs PMN chemotaxis. Exposure of human PMNs to LPS triggered excessive mitochondrial ATP production and disorganized intracellular trafficking of mitochondria, resulting in global ATP release that disrupted purinergic signaling, cell polarization, and chemotaxis. In mice infected i.p. with E. coli, LPS treatment increased the spread of bacteria at the infection site and throughout the systemic circulation. Removal of excessive systemic ATP with apyrase improved chemotaxis of LPS-treated human PMNs in vitro and enhanced the clearance of E. coli in infected and LPS-treated mice. We conclude that systemic ATP accumulation in response to LPS is a potential therapeutic target to restore PMN chemotaxis and to boost the antimicrobial host immune defense in sepsis.
Anatolii Puhalskii
We establish some properties of substochastic matrices that we haven't been able to find in the literature
Niovi Kehayopulu
This paper serves as an example to show the way we pass from semigroups to $Γ$-semigroups and to hypersemigroups.
D. M. Esaulov
Jorma Jormakka
The paper presents a counterexample to the Hodge conjecture.
Masumi Nakajima
A very simple but useful almost sure convergence theorem of probability is given.
Dang Vu Giang
We are interested in Beurling spectrum of $\mathbb X-$valued functions with application in functional delay differential equations.
Roupam Ghosh
We introduce a new criterion which if satisfied implies the Riemann hypothesis.
Gavriel Segre
Recent theologies concerning God's death after Auschwitz are mathematically formalized through a suitable temporalization of Gödel's Ontological Proof.
Tsutomu Hashimoto
In this paper, we prove certain theorems about three consecutive primes.
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