Results 41 to 50 of about 4,507,842 (291)
Artificial molecular machines and motors—Design and control of nanoscale motion
FEBS Letters, EarlyView.Molecules are constantly moving because of thermal fluctuations, but random motion alone cannot be exploited to perform directional tasks. Artificial molecular machines use chemical, electrical, or light energy to bias this motion. Molecular shuttles, rotary motors, and supramolecular pumps illustrate how nanoscale movement can be controlled and ...
Leonardo Andreoni, Alberto Credi
wiley +1 more source
Extended Maximum Principles [PDF]
, 2007 2000 Mathematics Subject Classification: 35B50, 35L15.In this paper we introduce some new results concerning the maximum principles for second order linear elliptic partial differential equations defined on a noncompact Riemannian ...
Al-Mahameed, M. M.
core
Maximum Principles and Uniqueness Theorems
, 2017 This chapter proves maximum principles for two parabolic and elliptic equations from which the uniqueness results follow easily. It also considers the main consequences of the maximum principle, both for the model operators on an open orthant and for the
Charles L. Epstein, Rafe Mazzeo
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Maximum principles at infinity and the Ahlfors-Khas'minskii duality
, 2017 Maximum principles at infinity (or ``almost maximum principles") are a powerful tool to investigate the geometry of Riemannian manifolds. In this talk I will focus on the the Ekeland, the Omori-Yau principles and their weak versions, in the sense of ...
Mari, Luciano
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The effects of nonlinear perturbation terms on comparison principles for the -Laplacian
Bulletin of Mathematical SciencesIn this paper, we investigate various comparison principles for quasilinear elliptic equations of [Formula: see text]-Laplace type with lower-order terms that depend on the solution and its gradient.
Ahmed Mohammed, Antonio Vitolo
doaj +1 more source
Some maximum principles for solutions of a class of partial differential equations in Ω⊂ℝn
International Journal of Mathematics and Mathematical Sciences, 2000 We find maximum principles for solutions of semilinear elliptic partial differential equations of the forms: (1) Δ2u+αf(u)=0, α∈ℝ+ and (2) ΔΔu+α(Δu)k+gu=0, α≤0 in some region Ω⊂ℝn.
Mohammad Mujalli Al-Mahameed
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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 +3 more
wiley +1 more source
Molecular Oncology, EarlyView.Matched spatial transcriptomics and single‐nuclei RNA‐seq were generated for anaplastic and BRAFV600E papillary thyroid cancers revealing generic and tumor‐specific states occurring in cancer cells and in the tumor microenvironment. In this context, cancer dedifferentiation mirrored organoid maturation through ordered thyroid marker gain/loss ...
Adrien Tourneur +11 more
wiley +1 more source
Thermodynamic resource theories, non-commutativity and maximum entropy principles
New Journal of Physics, 2017 We discuss some features of thermodynamics in the presence of multiple conserved quantities. We prove a generalisation of Landauer principle illustrating tradeoffs between the erasure costs paid in different ‘currencies’.
Matteo Lostaglio +2 more
doaj +1 more source
Molecular Oncology, EarlyView.This study integrates publicly available transcriptomic datasets to identify molecular signatures associated with response to neoadjuvant chemoradiotherapy in locally advanced rectal cancer. By analyzing a combination of multiple cohorts with bioinformatics approaches, we reveal biological pathways and immune‐related features that may improve ...
Aleksandra Stanojevic +10 more
wiley +1 more source