Results 61 to 70 of about 12,897,520 (259)

Fractional Scale Calculus: Hadamard vs. Liouville

Fractal and Fractional, 2023
A general fractional scale derivative is introduced and studied. Its relation with the Hadamard derivatives is established and reformulated. A new derivative similar to the Grünwald–Letnikov’s is deduced. Tempered versions are also introduced.
Manuel D. Ortigueira, Gary W. Bohannan
doaj   +1 more source

DNA ligase LigE increases bacterial transformation with damaged extracellular DNA

FEBS Letters, EarlyView.
The DNA ligase LigE from the naturally competent Gram‐negative bacterium Neisseria gonorrhoaea increases transformation with cut extracellular DNA. This process is ATP‐dependent and relies on the catalytic activity of LigE; it also requires that LigE contains an intact periplasmic localisation sequence, indicating that ligE functions in the periplasm ...
Jolyn Pan, Avi Singh, Shrawani Weralupe Gamladdalage, Joanna Hicks, Adele Williamson   +4 more
wiley   +1 more source

Nabla Fractional Derivative and Fractional Integral on Time Scales [PDF]

, 2021
In this paper, we introduce the nabla fractional derivative and fractional integral on time scales in the Riemann–Liouville sense. We also introduce the nabla fractional derivative in Grünwald–Letnikov sense.
Gogoi, Bikash, Hazarika, Bipan, Bipan Hazarika, Ahmad, Hijaz, Bikash Gogoi, Delfim F. M. Torres, Hijaz Ahmad, Utpal Kumar Saha, Saha, Utpal Kumar, Torres, Delfim F. M.   +9 more
core   +1 more source

Comparing the paths of Hedgehog release in artificial and natural settings

FEBS Letters, EarlyView.
Hh morphogens require solubilization factors to overcome their tight association with the plasma membrane and signal to distant cells, but the precise functions of these factors are controversial. Here, we use published in vivo observations as the most relevant evidence to test their suggested functions and discuss contradictions and gaps between in ...
Janna Puschmann, Kay Grobe
wiley   +1 more source

General solution of Bernoulli and Riccati fractional differential equations based on conformable fractional derivative

, 2017
This paper is aimed to develop two well-known nonlinear ordinary differential equations, Bernoulli and Riccati equations to fractional form. General solution to fractional differential equations are detected, based on conformable fractional derivative ...
Jafar Biaar, Mousa Ilei, Zainab Ayati
core   +1 more source

Fractional Generalizations of Filtering Problems and Their Associated Fractional Zakai Equation [PDF]

, 2014
In this paper we discuss fractional generalizations of the filtering problem. The ”fractional” nature comes from time-changed state or observation processes, basic ingredients of the filtering problem. The mathematical feature of the fractional filtering
Nelson, Kenric, Umarov, Sabir, Daum, Fred, Daum, Frederick   +3 more
core   +1 more source

How structural disorder and polyelectrolyte properties of prothymosin α enable its large interactome

FEBS Letters, EarlyView.
In this review, complexes of the fully disordered and highly negatively charged prothymosin α are collected, described, and discussed. Linked to its poly‐electrostatic character, prothymosin α engages a large interactome through multiple different binding modes ranging from fully disordered complexes to short linear motif (SLiM)‐driven interactions ...
Ketty C. Tamburrini, Freia S. Buus, Benjamin Schuler, Birthe B. Kragelund   +3 more
wiley   +1 more source

AN ADAPTIVE MEMORY METHOD FOR ACCURATE AND EFFICIENT COMPUTATION OF THE CAPUTO FRACTIONAL DERIVATIVE

, 2021
A fractional derivative is a temporally nonlocal operation which is com-putationally intensive due to inclusion of the accumulated contribution of function values at past times.
Yoon, Daegeun, You, Donghyun, Donghyun You, Daegeun Yoon   +3 more
core   +1 more source

Mitochondrial translation and coordinated cytosolic translation in metabolic homeostasis and disease

FEBS Letters, EarlyView.
Mitochondrial function depends on coordinated protein production from the nuclear and mitochondrial genomes. This review highlights how cytosolic and mitochondrial translation, mRNA localization, protein import, and respiratory complex assembly are integrated to maintain mitochondrial proteostasis and function.
Boseon Kim, Thi Thanh Mai Tran, Nakyung Kang, Min‐Woo Lee, Mihye Lee   +4 more
wiley   +1 more source

Analytical approach for time fractional wave equations in the sense of Yang-Abdel-Aty-Cattani via the homotopy perturbation transform method

Alexandria Engineering Journal, 2020
Very recently, Yang, Abdel-Aty and Cattani (2019) introduced a new and intersting fractional derivative operator with non-singular kernel involving Rabotnov fractional-exponential function.
Mohamed Jleli, Sunil Kumar, Ranbir Kumar, Bessem Samet   +3 more
doaj   +1 more source