Results 51 to 60 of about 168,546,907 (282)

Trichotomy of a system of two difference equations

Journal of Mathematical Analysis and Applications, 2004
The authors study the boundedness and asymptotic behavior of positive solutions of the system of difference equations \[ x_{n+1}=A+\frac{\sum_{i=1}^{k} a_ix_{n-p_i}}{\sum_{j=1}^{m}b_jy_{n-q_j}},\qquad y_{n+1}=B+\frac{\sum_{i=1}^{k} c_iy_{n-p_i}}{\sum_{j=1}^{m}d_jx_{n-q_j}}, \] and obtain some results, where \(k, m\in \{1, 2, \ldots\}, A, B, a_i, c_i ...
Papaschinopoulos, G., Stefanidou, G.
openaire   +2 more sources

Degradation mechanism of the von Willebrand factor A2 domain by nattokinase

FEBS Letters, EarlyView.
Nattokinase, a natto‐derived protease, exhibits potent antithrombotic effects. This study demonstrates that nattokinase directly cleaves the von Willebrand factor (vWF) A2 domain in vitro. Unlike the native regulator ADAMTS13, nattokinase degrades folded vWF independently of shear stress.
Ryuichi Hyakumoto, Masatomo So, Ayako Furukawa, Kenji Sugase   +3 more
wiley   +1 more source

Solutions of the system ofmaximum difference equations

MANAS: Journal of Engineering, 2015
The behaviour and periodicity of the solutions of the following system of difference equations is examined (1) where the initial conditions are positive real numbers.
D. Şimşek, M. Eröz
doaj   +2 more sources

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

On the Periodicity and Solvability of Multi-Shift Three-Dimensional Difference Systems

Axioms
This paper investigates the closed-form solvability and dynamical behavior of a class of nonlinear triangular difference systems with overlapping indices, emphasizing the role of coefficient symmetry and asymmetry in determining the qualitative behavior ...
Yasser Almoteri, Ahmed Ghezal
doaj   +1 more source

Dynamics of a Higher-Order System of Difference Equations

Discrete Dynamics in Nature and Society, 2017
Consider the following system of difference equations: xn+1(i)=xn-m+1(i)/Ai∏j=0m-1xn-j(i+j+1)+αi, xn+1(i+m)=xn+1(i), x1-l(i+l)=ai,l, Ai+m=Ai, αi+m=αi, i,l=1,2,…,m; n=0,1,2,…, where m is a positive integer, Ai,αi, i=1,2,…,m, and the initial conditions ai ...
Qi Wang, Qinqin Zhang, Qirui Li
doaj   +1 more source

Invariants for Difference Equations and Systems of Difference Equations of Rational Form

Journal of Mathematical Analysis and Applications, 1997
The author consideres the system of difference equations \[ x_{n+1} = \frac{a_n y_n + A}{x_{n-1}}, \qquad y_{n+1} = \frac{b_n x_n + A}{y_{n-1}}, n = 0, 1,\dots\tag{1} \] where the coefficients \(\{a_n\}\) and \(\{b_n\}\) are periodic sequences of positive numbers of period 2 and \(A\) is a positive constant. Some invariants for system (1) are presented.
openaire   +1 more source

Microbiome−host proteostasis crosstalk—An emerging perspective on mechanisms and interventions toward healthy longevity

FEBS Letters, EarlyView.
Proteostasis and the gut microbiota play a key role in shaping host physiology. Microbiota‐derived metabolites, vitamins, and RNA modulate host proteostasis. Findings from model systems, including C. elegans, indicate microbes can either stabilize or disrupt host proteostasis.
Abhishek Anil Dubey, Maria Ermolaeva
wiley   +1 more source

Advances in Difference Equations

The aim of this reprint is to highlight the significance of difference equations and their applications in applied mathematics. Difference equations provide a robust and widely recognized framework for modeling complex dynamical systems. In recent years,

core   +1 more source

On Invariants for Difference Equations and Systems of Difference Equations of Rational Form

Journal of Mathematical Analysis and Applications, 1999
The author generalizes results of \textit{C. J. Schinas} [J. Math. Anal. Appl. 216, No. 1, 164-179 (1997; Zbl 0889.39006)] on invariants of difference equations of rational form to second- and third-order autonomous and nonautonomous difference equations.
openaire   +2 more sources