Results 61 to 70 of about 1,797,841 (315)

A Recipe for State Dependent Distributed Delay Differential Equations

open access: yes, 2018
We use the McKendrick equation with variable ageing rate and randomly distributed maturation time to derive a state dependent distributed delay differential equation.
Cassidy, Tyler   +2 more
core   +1 more source

Thermostable neutral metalloprotease from Geobacillus sp. EA1 does not share thermolysin's preference for substrates with leucine at the P1′ position

open access: yesFEBS Letters, EarlyView.
Knowing how proteases recognise preferred substrates facilitates matching proteases to applications. The S1′ pocket of protease EA1 directs cleavage to the N‐terminal side of hydrophobic residues, particularly leucine. The S1′ pocket of thermolysin differs from EA's at only one position (leucine in place of phenylalanine), which decreases cleavage ...
Grant R. Broomfield   +3 more
wiley   +1 more source

Nonlinear differential equation with first order partial derivatives

open access: yesВестник КазНУ. Серия математика, механика, информатика, 2018
The asymptotic behavior of solutions of a nonlinear differential equation with first-order partial derivatives solved with respect to one of the derivatives is investigated.
T. М. Aldibekov, M. M. Aldazharova
doaj   +1 more source

Exploring lipid diversity and minimalism to define membrane requirements for synthetic cells

open access: yesFEBS Letters, EarlyView.
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 Some Functional-Differential Equation [PDF]

open access: yesУчёные записки Казанского университета: Серия Физико-математические науки, 2016
The necessary and sufficient conditions for the existence and uniqueness of a solution of the problem for the functional-differential equation are established.
N.P. Evlampiev   +2 more
doaj  

Fractional Differential Equations in Terms of Comparison Results and Lyapunov Stability with Initial Time Difference

open access: yesAbstract and Applied Analysis, 2010
The qualitative behavior of a perturbed fractional-order differential equation with Caputo's derivative that differs in initial position and initial time with respect to the unperturbed fractional-order differential equation with Caputo's derivative has ...
Coşkun Yakar
doaj   +1 more source

Van der Pol model in two-delay differential equation representation

open access: yesScientific Reports, 2022
The Van der Pol equation is the mathematical model of a second-order ordinary differential equation with cubic nonlinearity. Several studies have been adding time delay to the Van der Pol model. In this paper, the differential equation of the Van der Pol
M. A. Elfouly, M. A. Sohaly
doaj   +1 more source

Orthonormal Polynomials on the Unit Circle and Spatially Discrete Painlev\'e II Equation

open access: yes, 1999
We consider the polynomials $\phi_n(z)= \kappa_n (z^n+ b_{n-1} z^{n-1}+ >...)$ orthonormal with respect to the weight $\exp(\sqrt{\lambda} (z+ 1/z)) dz/2 \pi i z$ on the unit circle in the complex plane.
Chie Bing Wang   +9 more
core   +2 more sources

Ergothioneine supplementation improves pup phenotype and survival in a murine model of spinal muscular atrophy

open access: yesFEBS Letters, EarlyView.
Spinal muscular atrophy (SMA) is a genetic disease affecting motor neurons. Individuals with SMA experience mitochondrial dysfunction and oxidative stress. The aim of the study was to investigate the effect of an antioxidant and neuroprotective substance, ergothioneine (ERGO), on an SMNΔ7 mouse model of SMA.
Francesca Cadile   +8 more
wiley   +1 more source

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