Results 71 to 80 of about 304,833 (302)

On a k-Order System of Lyness-Type Difference Equations

open access: yesAdvances in Difference Equations, 2007
We consider the following system of Lyness-type difference equations: x1(n+1)=(akxk(n)+bk)/xk−1(n−1), x2(n+1)=(a1x1(n)+b1)/xk(n−1), xi(n+1)=(ai−1xi−1(n)+bi−1)/xi−2(n−1), i=3,4,…,k, where ai, bi, i=1,2,…,k,
G. Papaschinopoulos   +2 more
doaj   +1 more source

Valosin‐containing protein counteracts ATP‐driven dissolution of FUS condensates through its ATPase activity in vitro

open access: yesFEBS Letters, EarlyView.
Biomolecular condensates formed by fused in sarcoma (FUS) are dissolved by high ATP concentrations yet persist in cells. Using a reconstituted system, we demonstrate that valosin‐containing protein (VCP), an AAA+ ATPase, counteracts ATP‐driven dissolution of FUS condensates through its D2 ATPase activity.
Hitomi Kimura   +2 more
wiley   +1 more source

Diversity and complexity in neural organoids

open access: yesFEBS Letters, EarlyView.
Neural organoid research aims to expand genetic diversity on one side and increase tissue complexity on the other. Chimeroids integrate multiple donor genomes within single organoids. Self‐organising multi‐identity organoids, exogenous cell seeding, or enforced assembly of region‐specific organoids contribute to tissue complexity.
Ilaria Chiaradia, Madeline A. Lancaster
wiley   +1 more source

A Class of Fractional Degenerate Evolution Equations with Delay

open access: yes, 2020
We establish a class of degenerate fractional differential equations involving delay arguments in Banach spaces. The system endowed by a given background and the generalized Showalter–Sidorov conditions which are natural for degenerate type ...
Amar Debbouche, Vladimir E. Fedorov
core   +1 more source

Exact Solutions of System of Fourth-Order Difference Equations

open access: yesPan-American Journal of Mathematics
In this paper, we derive the solutions of system difference equations xn+1 = xn−1yn−3 / yn−1(a + bxn−1yn−3), yn+1 = yn−1xn−3 / xn−1(c + dyn−1xn−3), n∈N0, where the parameters a, b, c, d are real numbers and the initial conditions x−i and y−i for (i = 0,
Messaoud Berkal, Raafat Abo-Zeid
doaj   +1 more source

Epigenetic blind spots – the role of DNA methylation dynamics in stem cell‐based models of embryogenesis

open access: yesFEBS Letters, EarlyView.
Embryo‐like structures (stembryos) are an innovative tool, but they are hindered by experimental variability and limited developmental potential. DNA methylation is crucial for mammalian development, but its status in stembryo models is poorly characterized.
Sara Canil   +4 more
wiley   +1 more source

Numerical Solution of Parabolic Equations by the Box Scheme [PDF]

open access: yes, 1973
The box scheme proposed by H. B. Keller is a numerical method for solving parabolic partial differential equations. We give a convergence proof of this scheme for the heat equation, for a linear parabolic system, and for a class of nonlinear parabolic ...
Fong, Kirby William
core   +1 more source

Fractional System of Korteweg-De Vries Equations via Elzaki Transform

open access: yes, 2021
In this article, a hybrid technique, called the Iteration transform method, has been implemented to solve the fractional-order coupled Korteweg-de Vries (KdV) equation. In this method, the Elzaki transform and New Iteration method are combined.
Nehad Ali Shah   +4 more
core   +1 more source

Solvability of a close to symmetric system of difference equations

open access: yesElectronic Journal of Differential Equations, 2016
The problem of solvability of a close to symmetric product-type system of difference equations of second order is investigated. Some recent results in the literature are extended.
Stevo Stevic   +2 more
doaj  

Residual tail twisting in ascidian larvae is stabilized by asymmetric myofibrils that resist bilateral symmetry restoration

open access: yesFEBS Letters, EarlyView.
Ascidian Ciona larvae initially show strong clockwise tail twisting, which is largely corrected during development. However, a small residual twist remains. This study shows that organized helical myofibrils in tail muscles mechanically stabilize this residual asymmetry, preventing complete restoration of bilateral symmetry and revealing how embryos ...
Yuki S. Kogure   +3 more
wiley   +1 more source

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