Results 61 to 70 of about 13,830,771 (328)
Note on constructing a family of solvable sine-type difference equations
Advances in Difference Equations, 2021 We obtain a family of first order sine-type difference equations solvable in closed form in a constructive way, and we present a general solution to each of the equations.
Ahmed El-Sayed Ahmed +4 more
doaj +1 more source
Hirota’s difference equations [PDF]
Theoretical and Mathematical Physics, 1997 A review of selected topics in Hirota's bilinear difference equation (HBDE) is given. This famous 3-dimensional difference equation is known to provide a canonical integrable discretization for most important types of soliton equations. Similarly to the continuous theory, HBDE is a member of an infinite hierarchy. The central point of our exposition is
openaire +3 more sources
Note on the binomial partial difference equation
, 2015 Some formulas for the “general solution” to the binomial partial difference equation cm,n = cm−1,n + cm−1,n−1, are known in the literature. However, it seems that there is no such a formula on the most natural domain connected to the equation, that is ...
S. Stević
semanticscholar +1 more source
FEBS Letters, EarlyView.Toll‐like receptors (TLRs) are important in the innate immune system. This study explores the zinc‐binding ability of the TLR2 TIR domain (TLR2TIR). We found that TLR2TIR binds zinc with nanomolar affinity through its cysteine residues. Two of them, C673 and C713, are vital for receptor activation, indicating that zinc may play a role in initiating ...
Vladislav A. Lushpa +8 more
wiley +1 more source
Finite-order meromorphic solutions and the discrete Painleve equations [PDF]
, 2005 Let w(z) be a finite-order meromorphic solution of the second-order difference equation w(z+1)+w(z-1) = R(z,w(z)) (eqn 1) where R(z,w(z)) is rational in w(z) and meromorphic in z. Then either w(z) satisfies a difference linear or Riccati equation or else
Halburd, R. G., Korhonen, R. J.
core +2 more sources
Factorization method and general second order linear difference equation
, 2017 This paper addresses an investigation on a factorization method for difference equations. It is proved that some classes of second order linear difference operators, acting in Hilbert spaces, can be factorized using a pair of mutually adjoint first order
Dobrogowska, Alina +1 more
core +1 more source
Autophagy in cancer and protein conformational disorders
FEBS Letters, EarlyView.Autophagy plays a crucial role in numerous biological processes, including protein and organelle quality control, development, immunity, and metabolism. Hence, dysregulation or mutations in autophagy‐related genes have been implicated in a wide range of human diseases.
Sergio Attanasio
wiley +1 more source
An integrable discretization of KdV at large times
, 2001 An "exact discretization" of the Schroedinger operator is considered and its direct and inverse scattering problems are solved. It is shown that a differential-difference nonlinear evolution equation depending on two arbitrary constants can be solved by ...
A Spire +18 more
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FEBS Letters, EarlyView.The protonated form of butyrate, as well as other short‐chain fatty acids (SCFAs), is membrane permeable. In acidic extracellular environments, this can lead to intracellular accumulation of SCFAs and cytosolic acidification. This phenomenon will be particularly relevant in acidic environments such as the large intestine or tumor microenvironments ...
Muwei Jiang +2 more
wiley +1 more source
Consistency Conditions for Fundamentally Discrete Theories
, 2003 The dynamics of physical theories is usually described by differential equations. Difference equations then appear mainly as an approximation which can be used for a numerical analysis.
Ames W F +20 more
core +1 more source