Results 101 to 110 of about 115,512 (248)
Local-global principle for the Baum-Connes conjecture with coefficients [PDF]
We establish the Hasse principle (local-global principle) in the context of the Baum-Connes conjecture with coefficients. We illustrate this principle with the discrete group $GL(2,F)$ where $F$ is any global field.
arxiv
Spatiotemporal Control Over Protein Release from Artificial Cells via a Light‐Activatable Protease
Stimulus‐responsive protein release is essential for intercellular communication. Mimicking this functionality in artificial cells is promising to study the working principles of cellular signaling. Herein, an engineered light‐activatable protease is implemented in a coacervate‐based artificial cell platform to establish user‐defined spatiotemporal ...
Arjan Hazegh Nikroo+4 more
wiley +1 more source
Coacervation driven by liquid‐liquid phase separation (LLPS) of biopolymers has garnered increasing attention in biology since this leads to the formation of membraneless organelles capable of performing essential yet largely unknown functions. This review highlights recent advances in coacervates (artificial condensates) composed of low‐molecular ...
Sayuri L. Higashi, Masato Ikeda
wiley +1 more source
The certainty principle (review) [PDF]
The certainty principle (2005) allowed to conceptualize from the more fundamental grounds both the Heisenberg uncertainty principle (1927) and the Mandelshtam-Tamm relation (1945). In this review I give detailed explanation and discussion of the certainty principle, oriented to all physicists, both theorists and experimenters.
arxiv
The successful in situ polymerization of microtubules in giant polymer‐lipid hybrid vesicles is illustrated. The microtubules formed in the giant hybrid vesicles exhibit different morphologies including lumenal network formation and membrane association. Abstract Creating artificial cells with a dynamic cytoskeleton, akin to those in living cells, is a
Paula De Dios Andres+4 more
wiley +1 more source
Jensen's diamond principle and its relatives [PDF]
We survey some recent results on the validity of Jensen's diamond principle at successor cardinals. We also discuss weakening of this principle such as club guessing, and anti-diamond principles such as uniformization. A collection of open problems is included.
arxiv
Toward Design Principles for Biomolecular Condensates for Metabolic Pathways
Biomolecular condensates are membrane‐less compartments found through‐out nature which can serve as reaction crucibles for biochemical processes. This review explores the design strategies underlying how condensates can be used in biotechnology to enhance multistep enzyme cascades including enhancement by mass action and substrate channeling, and ...
Alain A.M. André+3 more
wiley +1 more source
A transfer principle for deviations principles [PDF]
This note provides a tool to infer moderate deviations principles for specific random variables from deviations principles for their Hubbard-Stratonovich transforms.
arxiv
Elasticity of Diametrically Compressed Microfabricated Woodpile Lattices
Modulus–porosity relationship is derived for woodpile lattices with struts under diametrical compression. The formula presented here that Young's modulus is proportional to the square of the volume fraction E˜ρ2$E \sim \left(\rho\right)^{2}$ is shown to be consistent with computations and laboratory experiments on 3D‐printed samples.
Faezeh Shalchy, Atul Bhaskar
wiley +1 more source
A general principle for Hausdorff measure [PDF]
We introduce a general principle for studying the Hausdorff measure of limsup sets. A consequence of this principle is the well-known Mass Transference Principle of Beresnevich and Velani (2006).
arxiv