Analogue of Newton-Puiseux series for non-holonomic D-modules and factoring
We introduce a concept of a fractional-derivatives series and prove that any linear partial differential equation in two independent variables has a fractional-derivatives series solution with coefficients from a differentially closed field of zero ...
Grigoriev, D.
core +1 more source
On Stochastic Maximum Principle: A Backward Stochastic Partial Differential Equations Point of View [PDF]
Ishak Alia, Mohamed Alia
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Effective therapeutic targeting of CTNNB1‐mutant hepatoblastoma with WNTinib
WNTinib, a Wnt/CTNNB1 inhibitor, was tested in hepatoblastoma (HB) experimental models. It delayed tumor growth and improved survival in CTNNB1‐mutant in vivo models. In organoids, WNTinib outperformed cisplatin and showed enhanced efficacy in combination therapy, supporting its potential as a targeted treatment for CTNNB1‐mutated HB.
Ugne Balaseviciute +17 more
wiley +1 more source
Background. There is no problem in finding a general solution to the ordinary differential Clairaut equation. The corresponding procedure is described in details in the theory of ordinary differential equations.
L. A. Zhidova
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Online video course design of elliptic partial differential equation based on image high-resolution processing. [PDF]
Huang H.
europepmc +1 more source
Heat transfer in a plane incompressible laminar jet [PDF]
Partial differential equation for heat transfer in plane incompressible laminar jet is reduced by similarity transformation to ordinary differential ...
Millsaps, K., Soong, N. L.
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Exploiting metabolic adaptations to overcome dabrafenib treatment resistance in melanoma cells
We show that dabrafenib‐resistant melanoma cells undergo mitochondrial remodeling, leading to elevated respiration and ROS production balanced by stronger antioxidant defenses. This altered redox state promotes survival despite mitochondrial damage but renders resistant cells highly vulnerable to ROS‐inducing compounds such as PEITC, highlighting redox
Silvia Eller +17 more
wiley +1 more source
The LINC01116 long noncoding RNA is induced by hypoxia and associated with poor prognosis and high recurrence rates in two cohorts of lung adenocarcinoma patients. Here, we demonstrate that besides its expression in cancer cells, LINC01116 is markedly expressed in lymphatic endothelial cells of the tumor stroma in which it participates in hypoxia ...
Marine Gautier‐Isola +12 more
wiley +1 more source
Frequently Hypercyclic and Chaotic Behavior of Some First-Order Partial Differential Equation
We study a particular first-order partial differential equation which arisen from a biologic model. We found that the solution semigroup of this partial differential equation is a frequently hypercyclic semigroup.
Cheng-Hung Hung, Yu-Hsien Chang
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Diffusion-Enhanced Förster Resonance Energy Transfer in Flexible Peptides: From the Haas-Steinberg Partial Differential Equation to a Closed Analytical Expression. [PDF]
Jacob MH, D'Souza RN, Lazar AI, Nau WM.
europepmc +1 more source

