Results 61 to 70 of about 2,475,365 (332)
Weak Solutions of the Porous Medium Equation [PDF]
Transactions of the American Mathematical Society, 1993 We show that if u ≥ 0 u \geq 0 , u ∈ L loc m ( Ω ) u \in L_{{\text {loc}}}^m(\Omega ) , Ω ⊂ R
Dahlberg, Björn E. J., Kenig, Carlos E.
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Disordered but rhythmic—the role of intrinsic protein disorder in eukaryotic circadian timing
FEBS Letters, EarlyView.Unstructured domains known as intrinsically disordered regions (IDRs) are present in nearly every part of the eukaryotic core circadian oscillator. IDRs enable many diverse inter‐ and intramolecular interactions that support clock function. IDR conformations are highly tunable by post‐translational modifications and environmental conditions, which ...
Emery T. Usher, Jacqueline F. Pelham
wiley +1 more source
Anisotropic singularity of solutions to elliptic equations in a measure framework
Electronic Journal of Differential Equations, 2015 In this article we study the weak solutions of elliptic equation $$\displaylines{ -\Delta u=2\frac{\partial \delta_0}{\partial \nu }\quad \text{in }\Omega,\cr u=0\quad \text{on }\partial\Omega, }$$ where $\Omega$ is an open bounded $C^2$ domain ...
Wanwan Wang, Huyuan Chen, Jian Wang
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Optimal control of a viscous generalized θ-type dispersive equation with weak dissipation
Open Mathematics, 2020 In this paper, we investigate the problem for optimal control of a viscous generalized θ\theta -type dispersive equation (VG θ\theta -type DE) with weak dissipation. First, we prove the existence and uniqueness of weak solution to the equation.
Fan Guobing, Yang Zhifeng
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FEBS Letters, EarlyView.Multidrug transporters BpeB and BpeF from the Gram‐negative pathogen Burkholderia pseudomallei have a hydrophilic patch in their substrate‐binding pocket. Drug susceptibility tests and growth curve analyses using an Escherichia coli recombinant expression system revealed that the hydrophilic patches of BpeB and BpeF are involved in the substrate ...
Ui Okada, Satoshi Murakami
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Function‐driven design of a surrogate interleukin‐2 receptor ligand
FEBS Letters, EarlyView.Interleukin (IL)‐2 signaling can be achieved and precisely fine‐tuned through the affinity, distance, and orientation of the heterodimeric receptors with their ligands. We designed a biased IL‐2 surrogate ligand that selectively promotes effector T and natural killer cell activation and differentiation. Interleukin (IL) receptors play a pivotal role in
Ziwei Tang +9 more
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Weak Solution to KWC Systems of Pseudo-parabolic Type
Известия Иркутского государственного университета: Серия "Математика"In this paper, a class of systems of pseudo-parabolic PDEs is considered. These systems (S)ε are derived as a pseudo-parabolic dissipation system of Kobayashi– Warren–Carter energy, proposed by [Kobayashi et al., Physica D, 140, 141–150 (2000)], to ...
D. Mizuno
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SYMMETRY GROUP ANALYSIS OF WEAK SOLUTIONS [PDF]
Proceedings of the London Mathematical Society, 2002 Methods of Lie group analysis of differential equations are extended to weak solutions of (linear and non-linear) partial differential equations, where the term `weak solution' comprises the following settings: distributional solutions; solutions in generalized function algebras; solutions in the sense of association (corresponding to a number of weak ...
Dapic, N +2 more
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β‐TrCP overexpression enhances cisplatin sensitivity by depleting BRCA1
Molecular Oncology, EarlyView.Low levels of β‐TrCP (Panel A) allow the accumulation of BRCA1 and CtIP, which facilitate the repair of cisplatin‐induced DNA damage via homologous recombination (HR) and promote tumor cell survival. In contrast, high β‐TrCP expression (Panel B) leads to BRCA1 and CtIP degradation, impairing HR repair, resulting in persistent DNA damage and apoptosis ...
Rocío Jiménez‐Guerrero +8 more
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Existence of weak solutions for a non-homogeneous solidification mathematical model
Electronic Journal of Differential Equations, 2006 This article studies the existence of weak solutions for a stationary non-homogeneous system of equations describing the solidification process of a binary alloy confined to a regular bounded domain in $R^3$ and having mixed boundary conditions.
Elva Ortega-Torres, Mario M. Duran
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