Results 111 to 120 of about 4,342,124 (307)

Uniform Continuity and a New Bornology for a Metric Space

open access: yes, 2017
In the context of functions between metric spaces, continuity is preserved by uniform convergence on the bornology of relatively compact subsets while Cauchy continuity is preserved under uniform convergence on the bornology of totally bounded subsets ...
M. Isabel Garrido   +5 more
core   +1 more source

Golgi enzymes are retrieved from the plasma membrane to the trans‐Golgi network

open access: yesFEBS Letters, EarlyView.
Golgi enzymes are traditionally considered resident proteins retained within the Golgi apparatus. Here, we demonstrate that a subset transiently reaches the cell surface and is subsequently retrieved to the trans‐Golgi network via retrograde transport. Using a nanobody‐based toolkit, we uncover a dynamic trafficking cycle of several Golgi enzymes.
Dominik P. Buser, Tina Junne
wiley   +1 more source

Fixed Point Results for Nonlinear F-Contractions in Composed S-Metric Spaces

open access: yesJournal of Function Spaces
In this paper, we introduce the concept of composed S-metric space as a new generalization of S-metric space and Sb-metric space. We present some examples showing that a composed S-metric space is a generalization of various types of abstract spaces, and
Chol Jin Kil   +2 more
doaj   +1 more source

Inhomogeneous parabolic equations on unbounded metric measure spaces [PDF]

open access: yes, 2012
We study the inhomogeneous semilinear parabolic equation ut = Δu + up + f(x), with source term f independent of time and subject to f(x) ≥ 0 and with u(0, x) = φ(x) ≥ 0, for the very general setting of a metric measure space. By establishing Harnack-type
Hu, Jiaxin   +5 more
core   +1 more source

Ligand‐dependent transcriptional heterogeneity in cell cycle gene expression delays G1/S entry

open access: yesFEBS Letters, EarlyView.
EGF and HRG induce distinct G1/S progression programs in ErbB2‐amplified BT474 breast cancer cells. Despite activating the potent ErbB2–ErbB3 heterodimer, HRG does not accelerate cell‐cycle entry. Instead, EGF promotes earlier restriction‐point passage via ERK–FOS signaling, whereas HRG activates the AKT–MYC axis, driving transcriptional heterogeneity ...
Ririn Rahmala Febri   +5 more
wiley   +1 more source

Rectangular cone b-metric spaces over Banach algebra and contraction principle

open access: yesFixed Point Theory and Applications, 2017
Rectangular cone b-metric spaces over a Banach algebra are introduced as a generalization of metric space and many of its generalizations. Some fixed point theorems are proved in this space and proper examples are provided to establish the validity and ...
Reny George   +4 more
doaj   +1 more source

Synergistic perspectives—How single‐molecule biophysics complement biochemical understanding

open access: yesFEBS Letters, EarlyView.
In this review, we discuss how ensemble biochemistry and single‐molecule approaches are complementary, outline commonly used single‐molecule techniques, and illustrate their relevance through two representative case studies: chromatin organization by SMC complexes and pathway choice during DNA double‐strand break repair.
Sara De Bragança   +2 more
wiley   +1 more source

Functional comparison of EncB and EncC cargo proteins in iron storage within the Myxococcus xanthus encapsulin

open access: yesFEBS Letters, EarlyView.
Encapsulins are protein nanocompartments that play an important role in iron storage. In the Myxococcus xanthus encapsulin system, two cargo proteins called EncB and EncC contribute to iron mineralization. Here, we show that EncB and EncC generate iron‐containing minerals with distinct chemical compositions, suggesting that the composition of stored ...
Harry B. McDowell   +2 more
wiley   +1 more source

Sobolev inequality and isoperimetric inequality for submanifolds in a smooth metric measure space

open access: yes, 2023
Brendle recently proved a sharp Sobolev inequality and logarithmic Sobolev inequality for submanifolds in Euclidean space. From the sharp Sobolev inequality, he achieved a breakthrough in the conjecture of isoperimetric inequality for minimal ...
Ho, Pak-tung
core   +1 more source

Structures of mycobacterial 3‐methylcrotonyl‐CoA carboxylase reveal carrier‐domain translocation between catalytic sites

open access: yesFEBS Letters, EarlyView.
Mycobacterial 3‐methylcrotonyl‐CoA carboxylase uses a mobile biotin‐carrying domain to shuttle a carboxyl group between two catalytic sites, enabling carboxylation of 3‐methylcrotonyl‐CoA during leucine breakdown. Cryo‐electron microscopy captures the carrier at both sites and reveals an inward loop movement that may prevent futile rebinding to the ...
Ajit Yadav   +2 more
wiley   +1 more source

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