Results 41 to 50 of about 7,287 (246)

On the Rigorous Correspondence Between Operator Fractional Powers and Fractional Derivatives via the Sonine Kernel

Fractal and Fractional
Traditional operational calculus, while intuitive and effective in addressing problems in physical fractal spaces, often lacks the rigorous mathematical foundation needed for fractional operations, sometimes resulting in inconsistent outcomes. To address
Zelin Liu, Xiaobin Yu, Yajun Yin
doaj   +1 more source

Multivariable Fractional-Order Controller Design for a Nonlinear Dual-Tank Device

Fractal and Fractional, 2023
Fractional calculus is defined by expanded integer order integration and differentiation. In this paper, multiple mathematical models of a nonlinear dual-tank device are precisely formulated by fractional calculus.
Ryota Kochi, Mingcong Deng
doaj   +1 more source

An unexpected alternative viologen electron mediator site in tungsten‐containing formate dehydrogenase

FEBS Letters, EarlyView.
An unexpected alternative interaction site for ethyl viologen was identified in formate dehydrogenase 1 from Methylorubrum extorquens. Combined mutagenesis, kinetic analysis, and docking revealed that aromatic residues near an iron–sulfur cluster enable flavin mononucleotide‐independent electron transfer, offering a framework for engineering improved ...
Eleni G. Poloniataki, Yong Hwan Kim
wiley   +1 more source

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

New definitions of fractional derivatives and integrals for complex analytic functions

Arab Journal of Basic and Applied Sciences, 2023
In this paper, we introduce a ground-breaking approach to defining fractional calculus for a selected class of analytic functions. Our new definitions, based on a novel and intuitive understanding of fractional derivatives and integrals, offer improved ...
Mohammad Abu-Ghuwaleh, Rania Saadeh
doaj   +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

Salmonella lipopolysaccharide‐containing supported lipid bilayers as platforms to study bacteriophage interactions

FEBS Letters, EarlyView.
We present robust protocols for the preparation of supported lipid bilayers (SLBs) incorporating either Salmonella smooth LPS or outer membrane vesicles (OMVs). We use a combination of quartz crystal microbalance with dissipation (QCM‐D) and fluorescence microscopy to both characterize the SLBs of various compositions and to probe their interactions ...
Hudson P. Pace, Alyssa Borges, Charles Arnaud, Tove Karlsson, Nina K. Bröker, Stefanie Barbirz, Marta Bally   +6 more
wiley   +1 more source

Bielecki-Ulam stability of a hammerstein-type difference system

MethodsX
In this study, we investigate the Bielecki-Ulam (B-U) stabilities of two forms of Hammerstein-type difference systems (HT-DS). Specifically, we consider the systems:(0.1){xm+1−xm=M¯mxm+F¯(m,xm,xhm)[∑[j=0][m]G¯(m,j)H¯(j,xj,xhj)]x0=b0,and(0.2){xm+1−xm=M ...
Gul Rahmat, Sohail Ahmad, Muhammad Sarwar, Kamaleldin Abodayeh, Saowaluck Chasreechai, Thanin Sitthiwirattham   +5 more
doaj   +1 more source

Certain New Class of Analytic Functions Defined by Using a Fractional Derivative and Mittag-Leffler Functions

Axioms, 2022
Fractional calculus has a number of applications in the field of science, specially in mathematics. In this paper, we discuss some applications of fractional differential operators in the field of geometric function theory.
Mohammad Faisal Khan, Shahid Khan, Saqib Hussain, Maslina Darus, Khaled Matarneh   +4 more
doaj   +1 more source

Reconstructing enzyme evolution by protein engineering

FEBS Letters, EarlyView.
Natural enzyme evolution can be retraced by protein engineering methods such as directed evolution, rational design, and ancestral sequence reconstruction. These approaches reveal how enzymes emerged from ligand‐binding scaffolds, developed varying substrate preferences, formed oligomeric complexes, adapted to environmental changes, and evolved novel ...
Lukas Drexler, Markus R. Busch, Reinhard Sterner   +2 more
wiley   +1 more source