Existence, and Ulam's types stability of higher-order fractional Langevin equations on a star graph
AIMS MathematicsA study was conducted on the existence of solutions for a class of nonlinear Caputo type higher-order fractional Langevin equations with mixed boundary conditions on a star graph with $ k+1 $ nodes and $ k $ edges.
Gang Chen, Jinbo Ni, Xinyu Fu
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Thrombolytic proteins profiling: High‐throughput activity, selectivity, and resistance assays
FEBS Open Bio, EarlyView.We present optimized biochemical protocols for evaluating thrombolytic proteins, enabling rapid and robust screening of enzymatic activity, inhibition resistance, and fibrin affinity, stimulation, and selectivity. The outcome translates to key clinical indicators such as biological half‐life and bleeding risk. These assays streamline the development of
Martin Toul +3 more
wiley +1 more source
High-order mixed-type differential equations with weighted integral boundary conditions
Electronic Journal of Differential Equations, 2000 In this paper, we prove the existence and uniqueness of strong solutions for high-order mixed-type problems with weighted integral boundary conditions. The proof uses energy inequalities and the density of the range of the operator generated.
M. Denche, A. L. Marhoune
doaj
Study of singular elliptic equations with mixed boundary conditions and nonlocal source terms
Electronic Journal of Qualitative Theory of Differential EquationsIn this article, we study the generalized solutions for singular elliptic equations with mixed boundary conditions, a nonlocal source term and a Hardy potential.
Khaled Kefi +2 more
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FEBS Open Bio, EarlyView.The relationship between anabolic and catabolic processes governing lung cancer cell growth is nuanced. We show that ATG4B, an autophagy regulator, is elevated in lung cancer and that high ATG4B is associated with worse patient outcomes. Targeting ATG4B in cells reduces growth, protein synthesis, and mTORC1 activity, demonstrating a new relationship ...
Patrick J. Ryan +6 more
wiley +1 more source
Correction to 'The unified transform for mixed boundary condition problems in unbounded domains'. [PDF]
Proc Math Phys Eng Sci, 2019 Colbrook MJ, Ayton LJ, Fokas AS.
europepmc +1 more source
Reconstruction of inclusions for the inverse boundary value problem with mixed type boundary condition [PDF]
, 2004 Yuki Daido, Masaru Ikehata, Gen Nakamura
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SmallTalk: a novel small‐sized fusion tag for peptide expression and purification
FEBS Open Bio, EarlyView.The SmallTalk fusion tag allows for the efficient expression and purification of soluble recombinant proteins or peptides in Escherichia coli. Testing with SmallTalk‐GFP confirmed that the proteins were soluble and folded correctly, while SmallTalk‐Bin1b maintained its antimicrobial activity against various bacterial isolates. This streamlined workflow
Atika Tariq +3 more
wiley +1 more source
To a nonlocal generalization of the Dirichlet problem
Journal of Inequalities and Applications, 2006 A mixed problem with a boundary Dirichlet condition and nonlocal integral condition is considered for a two-dimensional elliptic equation.The existence and uniqueness of a weak solution of this problem are proved in a weighted Sobolev space.
Berikelashvili Givi
doaj
The unified transform for mixed boundary condition problems in unbounded domains. [PDF]
Proc Math Phys Eng Sci, 2019 Colbrook MJ, Ayton LJ, Fokas AS.
europepmc +1 more source