Results 41 to 50 of about 380,567 (310)

On difference equations with ‘B’-type solitons on three dimensional lattice

Partial Differential Equations in Applied Mathematics
In this paper we discuss an example of classical integrable equation with rather unusual ‘B’-type Kadomtsev–Petviashvili (KP) soliton hierarchy.
Sergey M. Sergeev
doaj   +1 more source

Speciation Through the Lens of Population Dynamics: A Theoretical Primer on How Small and Large Populations Diverge

Population Ecology, EarlyView.
Population size and dynamics fundamentally shape speciation by influencing genetic drift, founder events, and adaptive potential. Small populations may speciate rapidly due to stronger drift, whereas large populations harbor more genetic diversity, which can alter divergence trajectories. We highlight theoretical models that incorporate population size
Ryo Yamaguchi, Hidaka Kubo, Tokuya Ogawa, Hayate Omura   +3 more
wiley   +1 more source

Dynamics of difference systems: a mathematical study with applications to neural systems

AIMS Mathematics
This paper examines the dynamics of a three-dimensional system of difference equations through mathematical transformations and computational analysis. By transforming the original system into a bilinear form, we were able to simplify its structure and ...
Hashem Althagafi
doaj   +1 more source

Representations of solutions to linear and bilinear difference equations and systems of bilinear difference equations

Advances in Difference Equations, 2018
We represent general solution to a homogeneous linear difference equation of second order in terms of a specially chosen solution to the equation and apply it to get a representation of general solution to the bilinear difference equation in terms of a ...
Stevo Stević
doaj   +1 more source

Single‐cell insights into the role of T cells in B‐cell malignancies

FEBS Letters, EarlyView.
Single‐cell technologies have transformed our understanding of T cell–tumor cell interactions in B‐cell malignancies, revealing new T‐cell subsets, functional states, and immune evasion mechanisms. This Review synthesizes these findings, highlighting the roles of T cells in pathogenesis, progression, and therapy response, and underscoring their ...
Laura Llaó‐Cid
wiley   +1 more source

The Form of the Solutions of System of Rational Difference Equation

Journal of Mathematical Sciences and Modelling, 2018
In this article, we study the form of the solutions of the system of difference equations $x_{n+1}=((y_{n-8})/(1+y_{n-2}x_{n-5}y_{n-8}))$, $y_{n+1}=((x_{n-8})/(\pm1\pm x_{n-2}y_{n-5}x_{n-8}))$, with the initial conditions are real numbers.
E. M. Elsayed, Marwa M. Alzubaidi
doaj   +1 more source

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

FEBS 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, Torsten Kleffmann, David J. Saul, Sigurd M. Wilbanks   +3 more
wiley   +1 more source

Qualitative Behavior of the Solutions to Delay and Difference Equations

Вестник КазНУ. Серия математика, механика, информатика, 2018
It is noteworthy to observe that a first-order linear ordinary differential equation without delay does not possess oscillatory solutions. Therefore the investigation of oscillatory solutions is of interest for equations with delays or for the discrete
P. Ioannis
doaj   +1 more source

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

FEBS 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, Victoria Scarpelli, Marten Exterkate   +2 more
wiley   +1 more source

On a Max Difference Equation

Journal of Mathematical Analysis and Applications, 2001
AbstractIn this paper we study the existence of generalized invariants and the periodicity of the positive solutions of max equations,xn+1=maxan∏ni=n−k+1xi,bn∏ni=n−kxi,n=0,1,…,where an,bn are sequences of positive numbers, x−k,x−k+1,…,x0∈(0,∞) and k∈{2,3,…,}.
V Hatzifilippidis, Garyfalos Papaschinopoulos   +1 more
openaire   +2 more sources