Amyloid fibers play important roles in many human diseases and natural biological processes and have immense potential as novel nanomaterials. We explore the physical properties of polymorphic amyloid fibers formed by yeast prion protein Sup35. Amyloid fibers that conferred distinct prion phenotypes ([PSI(+)]), strong (S) versus weak (W) nonsense suppression, displayed different physical proper...

The purpose of this work is to investigate the existence of fixed points of some mappings in fixed point theory by combining some important concepts which are F-weak contractions, multivalued mappings, integral transformations and α-admissible mappings. In fixed point theory, it is important to find fixed points of some classess under F- or F-weak contractions. Also multivalued mappings is the ...

Structurally distinct, self-templating prion "strains" can encode distinct phenotypes and amplify at different rates depending upon the environment. Indeed, prion strain ensembles can evolve in response to environmental challenges, which makes them highly challenging drug targets. It is not understood how the proteostasis network amplifies one prion strain at the expense of another. Here, we de...

[PSI(+)] is an amyloid-based prion of Sup35p, a subunit of the translation termination factor. Prion "strains" or "variants" are amyloids with different conformations of a single protein sequence, conferring different phenotypes, but each relatively faithfully propagated. Wild Saccharomyces cerevisiae isolates have SUP35 alleles that fall into three groups, called reference, Δ19, and E9, with l...

Yeast prions are protein-based genetic elements that produce phenotypes through self-perpetuating changes in protein conformation. For the prion [PSI(+)] this protein is Sup35, which is comprised of a prion-determining region (NM) fused to a translational termination region. [PSI(+)] strains (variants) with different heritable translational termination defects (weak or strong) can exist in the ...

The yeast Sup35 and Rnq1 proteins can exist in either the noninfectious soluble forms, [psi-] or [pin-], respectively, or the multiple infectious amyloid-like forms called [PSI+] or [PIN+] prion variants (or prion strains). It was previously shown that [PSI+] and [PIN+] prions enhance one another's de novo appearance. Here we show that specific prion variants of [PSI+] and [PIN+] disrupt each o...

Abstract In this paper, using the notion of w -distance in metric spaces, we introduce two types nonlinear contractions, $(\iota ,\psi ,\varphi ,\phi ,p)$ ( ι , ψ φ ϕ p ) and rational- , \var...

In this article, we introduce a new class of non-self mappings, called weak proximal contractions, which contains the proximal contractions as a subclass. Existence and uniqueness results of a best proximity point for weak proximal contractions are obtained. Also, we provide sufficient conditions for the existence of common best proximity points for two non-self mappings in metric spaces having...

Abstract The aim of this article is to introduce α \alpha - ψ \psi -proximal contraction in the setting ℱ -metric space and prove existence best proximity points for these contractions. As applications our main results, we obtain coupled on equipped with an arbitrary binary relation.