Results 71 to 80 of about 11,651,840 (352)
Entire solutions of the Fisher–KPP equation on the half line [PDF]
European journal of applied mathematics, 2018 In this paper, we study the entire solutions of the Fisher–KPP (Kolmogorov–Petrovsky–Piskunov) equation ut = uxx + f(u) on the half line [0, ∞) with Dirichlet boundary condition at x = 0.
B. Lou, Junfan Lu, Y. Morita
semanticscholar +1 more source
FEBS Letters, EarlyView.Angiotensin II (AngII), a neuropeptide, interacts with amyloid‐β (Aβ), a key player in Alzheimer's disease. This study reveals that AngII reduces Aβ aggregation and membrane disruption in vitro. Biophysical assays and molecular modeling suggest AngII binds disordered Aβ forms, potentially modulating early amyloidogenic events and contributing to ...
Mohsen Habibnia +5 more
wiley +1 more source
FEBS Letters, EarlyView.Cells must clear mislocalized or faulty proteins from membranes to survive. The AAA+ ATPase Msp1 performs this task, but dissecting how its six subunits work together is challenging. We engineered linked dimers with varied numbers of functional subunits to reveal how Msp1 subunits cooperate and use energy to extract proteins from the lipid bilayer ...
Deepika Gaur +5 more
wiley +1 more source
Annales Mathematicae SilesianaeIn this paper we are focusing on finding the transcendental entire solution of Fermat-type trinomial and binomial equations, by restricting the hyper-order to be less than one.
Banerjee Abhijit, Sarkar Jhuma
doaj +1 more source
Meromorphic vector fields with single-valued solutions on complex surfaces
, 2019 We study ordinary differential equations in the complex domain given by meromorphic vector fields on K\"ahler compact complex surfaces. We prove that if such an equation has a maximal single valued solution with Zariski-dense image (in particular, if it ...
Guillot, Adolfo
core +1 more source
ENTIRE SOLUTIONS OF QUASILINEAR PSEUDOPARABOLIC EQUATIONS
Demonstratio Mathematica, 1985 The author considers the equation \[ Lw=(\partial /\partial t)(w_ z+aw+b\bar w)=f(t,z,w) \] under some assumptions about functions a and b. The existence and uniqueness of bounded entire solutions are considered. The bounded entire solutions for the case \[ f(t,z,w)=e(t)(c(z)w+d(t)\bar w) \] are constructed.
openaire +2 more sources
Organoids in pediatric cancer research
FEBS Letters, EarlyView.Organoid technology has revolutionized cancer research, yet its application in pediatric oncology remains limited. Recent advances have enabled the development of pediatric tumor organoids, offering new insights into disease biology, treatment response, and interactions with the tumor microenvironment.
Carla Ríos Arceo, Jarno Drost
wiley +1 more source
Properties of meromorphic solutions to certain differential-difference equations
Electronic Journal of Differential Equations, 2013 We consider the properties of meromorphic solutions to certain type of non-linear difference equations. Also we show the existence of meromorphic solutions with finite order for differential-difference equations related to the Fermat type functional ...
Xiaoguang Qi, Lianzhong Yang
doaj
Entire positive k-convex solutions to k-Hessian type equations and systems
Electronic Research Archive, 2022 In this paper, we study the existence of entire positive solutions for the $ k $-Hessian type equation $ {\rm S}_k(D^2u+\alpha I) = p(|x|)f^k(u), \ \ x\in \mathbb{R}^n $ and system $ \begin{cases} {\rm S}_k(D^2u+\alpha I) = p(|x|)f^k ...
Shuangshuang Bai +2 more
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Efficient Real Space Solution of the Kohn-Sham Equations with Multiscale Techniques
, 1999 We present a multigrid algorithm for self consistent solution of the Kohn-Sham equations in real space. The entire problem is discretized on a real space mesh with a high order finite difference representation. The resulting self consistent equations are
Beck, Thomas L., Wang, Jian
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