Results 41 to 50 of about 6,948,195 (245)
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
On linear systems and τ functions associated with Lamé's equation and Painlevé's equation VI. [PDF]
Painleve's transcendental differential equation PVI may be expressed as the consistency condition for a pair of linear differential equations with 2 by 2 matrix coefficients with rational entries.
Blower, Gordon
core +2 more sources
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
Nonnegativity of functionals corresponding to the second order half-linear differential equation [PDF]
summary:In this paper we study extremal properties of functional associated with the half–linear second order differential equation E$_p$. Necessary and sufficient condition for nonnegativity of this functional is given in two special cases: the first ...
Mařík, Robert
core +1 more source
Hartman-type comparison theorems for half-linear differential equations of the second order
Comparison theorem of the Hartman type for a continuous family of nonlinear differential equations of the form $$ \big(p(t, \lambda)\varphi(u')\big)' + q(t,\lambda) \varphi(u) = 0, \lambda \geq 0, \quad \tag{ $\rm E_\lambda$}$$ where $ p \in \mathrm{C ...
Jaroslav Jaroš
doaj +1 more source
Integral Comparison Criteria for Half-Linear Differential Equations Seen as a Perturbation
In this paper, we present further developed results on Hille–Wintner-type integral comparison theorems for second-order half-linear differential equations.
Zuzana Pátíková
doaj +1 more source
CT10 regulator of kinase (CRK) and CRK‐Like (CRKL) are signaling adaptors driving cell adhesion, motility, differentiation, and proliferation. SH2‐domain containing (SH) proteins are enriched in YXXP motifs which when phosphorylated create preferred binding sites for CRK family SH2 domains.
Phoebe M. Cousens +8 more
wiley +1 more source
Hartman-Wintner type criteria for half-linear second order differential equations [PDF]
summary:We establish Hartman-Wintner type criteria for the half-linear second order differential equation \[ \left(r(t)\Phi (x^{\prime })\right)^{\prime }+c(t)\Phi (x)=0,\quad \Phi (x)=|x|^{p-2}x,\ p>1, \] where this equation is viewed as a perturbation ...
Pátíková, Zuzana, Opluštil, Zdeněk
core +1 more source
Two-Parametric Conditionally Oscillatory Half-Linear Differential Equations
We study perturbations of the nonoscillatory half-linear differential equation (r(t)Φ(x'))'+c(t)Φ(x)=0, Φ(x):=|x|p-2x, p>1. We find explicit formulas for the functions r̂, ĉ such that the equation [(r(t)+λr̂(t))Φ(x')]'+[c(t)+μĉ(t)]Φ(x)=0 is ...
Ondřej Došlý, Simona Fišnarová
doaj +1 more source
A context‐dependent modulatory role for eIF6 in acquired resistance to vemurafenib in melanoma
Acquired resistance to vemurafenib upregulates the translation factor eIF6 in melanoma cells. Silencing eIF6 in resistant cells reduces proliferation and partially restores drug sensitivity, whereas its overexpression increases sensitivity across melanoma lines regardless of BRAF status, via modulation of mTOR, S6K, and MAPK signaling.
George Kyriakopoulos +9 more
wiley +1 more source

