Results 91 to 100 of about 6,829,605 (274)

TRANSCENDENTAL ENTIRE SOLUTIONS OF COMPLEX NONLINEAR PARTIAL DIFFERENTIAL DIFFERENCE EQUATIONS IN C^2

Poincare Journal of Analysis and Applications
Summary: In this paper, we explore the existence and forms of transcendental entire solutions of some second order partial differential-difference equations \[ f(z)^2+2\alpha f(z)\{L(z,f)+P_{L(f(z))}\}+\{L(z,f)+P_{L(f(z))}\}^2=e^{g(z)}, \] \[ f(z)^2+2\alpha f(z)\{a_1f(z+c)+P_{L(f(z+c))}\}+\{a_1f(z+c)+P_{L(f(z+c))}\}^2=e^{g(z)}, \] and \[ P^2_{L(f(z ...
Banerjee, Abhijit, Sarkar, Jhuma, Haldar, Gautam   +2 more
openaire   +2 more sources

On the discrete and continuous Miura chain associated with the sixth Painlev equation [PDF]

, 2000
A Miura chain is a (closed) sequence of differential (or difference) equations that are related by Miura or B\"acklund transformations. We describe such a chain for the sixth Painlev\'e equation (\pvi), containing, apart from \pvi itself, a Schwarzian ...
Hone, A. N. W., Nijhoff, F., Nijhoff, Frank W., Joshi, Nalini, Frank Nijhoff, Joshi, N., Nalini Joshi, Andrew Hone, Hone, Andrew N.W.   +8 more
core   +1 more source

Leucine‐rich glioma inactivated 1 (LGI1) is a ganglioside‐binding protein

FEBS Letters, EarlyView.
Neuronal hyperexcitability associated with a decrease/absence of the extracellular protein LGI1 has been suggested to be primarily due to the downregulation of Kv1 channel expression. The molecular mechanisms underlying this decrease have not yet been elucidated.
Kévin Debreux, Christian Lévêque, Fodil Azzaz, Marion Sangiardi, Sarosh R Irani, Michael Seagar, Jacques Fantini, Oussama El Far   +7 more
wiley   +1 more source

A Proposed Stochastic Finite Difference Approach Based on Homogenous Chaos Expansion

Journal of Applied Mathematics, 2013
This paper proposes a stochastic finite difference approach, based on homogenous chaos expansion (SFDHC). The said approach can handle time dependent nonlinear as well as linear systems with deterministic or stochastic initial and boundary conditions. In
O. H. Galal
doaj   +1 more source

A context‐dependent modulatory role for eIF6 in acquired resistance to vemurafenib in melanoma

FEBS Letters, EarlyView.
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, Antonia Petropoulou, Alexandra Anastogianni, Angelina Bania, Vassilis Stamatakis, Argyris Alexiou, Chi‐Ping Day, Glenn Merlino, Katerina Grafanaki, Constantinos Stathopoulos   +9 more
wiley   +1 more source

Absolutely stable difference scheme for the delay partial differential equation with involution and Robin boundary condition

Қарағанды университетінің хабаршысы. Математика сериясы
This paper examines the initial value problem for a third-order delay partial differential equation with involution and Robin boundary condition. We construct a first-order accurate difference scheme to obtain the numerical solution for this equation ...
A. Ashyralyev, S. Ibrahim, E. Hincal
doaj   +1 more source

Soft motions encoded by the fold and mediated by conserved hinge sites drive V‐ATPase allosteric machinery and autoinhibition

FEBS Letters, EarlyView.
Vacuolar H+‐ATPase (V‐ATPase) is a multisubunit rotary proton pump that acidifies intracellular compartments. Using elastic network models, we identified conserved hinge residues that govern its large‐scale functional motions. We show that intrinsically encoded ‘soft modes’ drive critical functional transitions, including rotary catalysis and ...
Diksha Parwana, Xiaowei Bogetti, Stuti Sharma, Ivet Bahar   +3 more
wiley   +1 more source

Constructing symmetries and finding a first integral of a system of partial differential-difference equations

Differential Equations, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Tumour–host interactions in Drosophila: mechanisms in the tumour micro‐ and macroenvironment

Molecular Oncology, EarlyView.
This review examines how tumour–host crosstalk takes place at multiple levels of biological organisation, from local cell competition and immune crosstalk to organism‐wide metabolic and physiological collapse. Here, we integrate findings from Drosophila melanogaster studies that reveal conserved mechanisms through which tumours hijack host systems to ...
José Teles‐Reis, Tor Erik Rusten
wiley   +1 more source

Hijacking emergency granulopoiesis: Neutrophil ontogeny and reprogramming in cancer

Molecular Oncology, EarlyView.
Neutrophils are highly plastic innate immune cells; their functions in cancer extend beyond the tumour microenvironment. This Review summarises current understanding of neutrophil maturation and heterogeneity and highlights tumour‐induced granulopoiesis as a systemic programme that expands immature, immunosuppressive neutrophils via tumour‐derived ...
Gabriela Marinescu, Yi Feng
wiley   +1 more source