Exploring lipid diversity and minimalism to define membrane requirements for synthetic cells
Designing the lipid membrane of synthetic cells is a complex task, in which its various roles (among them solute transport, membrane protein support, and self‐replication) should all be integrated. In this review, we report the latest top‐down and bottom‐up advances and discuss compatibility and complexity issues of current engineering approaches ...
Sergiy Gan +2 more
wiley +1 more source
On the Power Series Expansion of the Reciprocal Gamma Function [PDF]
Using the reflection formula of the Gamma function, we derive a new formula for the Taylor coefficients of the reciprocal Gamma function. The new formula provides effective asymptotic values for the coefficients even for very small values of the indices.
Fekih-Ahmed, Lazhar
core
Some properties of extended remainder of Binet's first formula for logarithm of gamma function
In the paper, we extend Binet's first formula for the logarithm of the gamma function and investigate some properties, including inequalities, star-shaped and sub-additive properties and the complete monotonicity, of the extended remainder of Binet's ...
Guo, Bai-Ni, Qi, Feng
core +1 more source
Inequalities for the gamma function [PDF]
Summary: We prove the following two theorems: (i) Let \(M_r(a,b)\) be the \(r\)th power mean of \(a\) and \(b\). The inequality \[ M_r(\Gamma(x),\Gamma(1/x))\geq 1 \] holds for all \(x\in(0,\infty)\) if and only if \(r\geq 1/C-\pi^2/(6C^2)\), where \(C\) denotes Euler's constant. This refines results established by \textit{W. Gautschi} [SIAM J.
openaire +3 more sources
Microbial exopolysaccharide production by polyextremophiles in the adaptation to multiple extremes
Polyextremophiles are microorganisms that endure multiple extreme conditions by various adaptation strategies that also include the production of exopolysaccharides (EPSs). This review provides an integrated perspective on EPS biosynthesis, function, and regulation in these organisms, emphasizing their critical role in survival and highlighting their ...
Tracey M Gloster, Ebru Toksoy Öner
wiley +1 more source
An inequality for the product of two integrals relating to the incomplete gamma function
The inequality is proved for and , and new inequalities are established for the integrals and , .
Laforgia Andrea, Elbert Árpád
doaj
Asymptotic Formulas and Inequalities for the Gamma Function in Terms of the Tri-Gamma Function [PDF]
6 ...
Feng Qi, Feng Qi, Cristinel Mortici
openaire +3 more sources
Novel and unscrutinized immune entities of the zebrafish gut
Understudied cells of the zebrafish immune system include bona fide immune cells and epithelial (‐derived) cells with immune functions. Research focusing on zebrafish cells which demonstrate similarities to mammalian immune cell counterparts may help us understand the pathologies in which they are implicated. Currently available and advanced tools make
Audrey Inge Schytz Andersen‐Civil +5 more
wiley +1 more source
Bounds for triple gamma functions and their ratios
In this work, in addition to the bounds for triple gamma function, bounds for the ratios of triple gamma functions are obtained. Similar bounds for the ratios of the double gamma functions are also obtained.
Sourav Das, A Swaminathan
doaj +1 more source
Mapping the evolution of mitochondrial complex I through structural variation
Respiratory complex I (CI) is crucial for bioenergetic metabolism in many prokaryotes and eukaryotes. It is composed of a conserved set of core subunits and additional accessory subunits that vary depending on the organism. Here, we categorize CI subunits from available structures to map the evolution of CI across eukaryotes. Respiratory complex I (CI)
Dong‐Woo Shin +2 more
wiley +1 more source

