Results 101 to 110 of about 1,101,646 (327)
Meromorphic solutions to certain class of differential equations in an angular domain
Advances in Difference Equations, 2019 In this paper, we study the admissible meromorphic solutions to the algebraic differential equation fnf′+Pn−1(f)=uev $f^{n} f' + P_{n-1}( f ) = u\mathrm {e}^{v}$ in an angular domain instead of the whole complex plane, where Pn−1(f) $P_{n-1}(f)$ is a ...
Fengrong Zhang +3 more
doaj +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
The Dirichlet problem for the slab with entire data and a difference equation for harmonic functions [PDF]
arXiv, 2016 It is shown that the Dirichlet problem for the slab $(a,b) \times \mathbb{R}^{d}$ with entire boundary data has an entire solution. The proof is based on a generalized Schwarz reflection principle. Moreover, it is shown that for a given entire harmonic function $g$ the inhomogeneous difference equation $h\left( t+1,y\right) -h\left(t,y\right) =g\left(t,
arxiv
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
Oscillation of fixed points of solutions to complex linear differential equations
Electronic Journal of Differential Equations, 2013 In this article, we study the relationship between the derivatives of the solutions to the differential equation $f^{(k)}+A_{k-1}f^{(k-1)}+dots +A_0f=0$ and entire functions of finite order.
Abdallah El Farissi, Maamar Benbachir
doaj
Rigidity of Entire Convex Self-Shrinking Solutions to Hessian Quotient Flows [PDF]
arXiv, 2016 We prove that all entire smooth strictly convex self-shrinking solutions on $\mathbb{R}^n$ to the Hessian quotient flows must be quadratic. This generalizes the rigidity theorem for entire self-shrinking solutions to the Lagrangian mean curvature flow in pseudo-Euclidean space due to Ding-Xin \cite{DX}.
arxiv
Non-Linear Elliptic Equations without Non-Linear Entire Solutions [PDF]
, 1954 Lipman Bers
openalex +1 more source
A stepwise emergence of evolution in the RNA world
FEBS Letters, EarlyView.How did biological evolution emerge from chemical reactions? This perspective proposes a gradual scenario of self‐organization among RNA molecules, where catalytic feedback on random mixtures plays the central role. Short oligomers cross‐ligate, and self‐assembly enables heritable variations. An event of template‐externalization marks the transition to
Philippe Nghe
wiley +1 more source
On Determining the Growth of Meromorphic Solutions of Algebraic Differential Equations Having Arbitrary Entire Coefficients [PDF]
, 1973 Steven B. Bank
openalex +1 more source
FEBS Letters, EarlyView.The enzyme 5‐lipoxygenase (5‐LOX) catalyzes the first step in the biosynthesis of leukotrienes (LTs) involved in inflammatory pathophysiology. After cellular stimulation, 5‐LOX translocates to the nucleus, interacting with the 5‐LOX‐activating protein (FLAP) to form LTA4 from arachidonic acid (AA).
Erik Romp +5 more
wiley +1 more source