Sentence examples for I contraction from inspiring English sources

A multi-valued mapping T : K → C B ( X ) is said to be (i) contraction, if there exists a constant α ∈ [ 0, 1 ) such that for any x, y ∈ K H ( T x, T y ) ≤ α ∥ x − y ∥ ;   (ii) nonexpansive, if for all x, y ∈ K H ( T x, T y ) ≤ ∥ x − y ∥ ;   (iii) quasi-nonexpansive, if F ( T ) ≠ ∅ and H ( T x, T p ) ≤ ∥ x − p ∥, ∀ p ∈ F ( T ), x ∈ K.  .

This outcome was due to: (i) contraction of FIX-specific plasma cell (PC) and memory B-cell pools and (ii) induction of FIX-specific regulatory T cells, which inhibit T-cell help required for generation of PCs and re-activation of memory B-cells.

Furthermore, addition of GHK or TGF beta restored collagen I contraction and remodeling by fibroblasts derived from COPD lungs compared to fibroblasts from former smokers without COPD.

Furthermore, addition of GHK or TGFβ restored collagen I contraction and remodeling by fibroblasts derived from COPD lungs compared to fibroblasts from former smokers without COPD.

As in previous studies [ 35], we demonstrated that distal lung fibroblasts derived from COPD patients have intrinsic defects in collagen I contraction compared to fibroblasts derived from former smokers without COPD.

Then T is called (5) I-nonexpansive on D if d ( T x, T y ) ≤ d ( I x, I y ) for all x, y ∈ D ;   (6) I-contraction on D if there exists k ∈ [ 0, 1 ) such that d ( T x, T y ) ≤ k d ( I x, I y ) for all x, y ∈ D.  .

In the absence of exogenously added stimulators, such as PDGF-BB, C2C12 cells are not capable of adhesion to native Col I or contraction of reconstituted Col I gels [ 36].

Coincidence and common fixed points of nonlinear hybrid contractions (i.e., contractions involving single-valued and multi-valued mappings) have been recently studied by many authors.

Thrombin at the concentration used for fibrin/Col I gel contraction had no stimulatory effect on C2C12-mediated contraction of fibronectin/Col I gels.

In the endothelium-intact rings, angiotensin I-induced contraction was markedly attenuated by prior exposure of aortic rings to berberine.

Therefore C2C12-mediated Col I gel contraction can serve as an in vitro model to investigate integrin αVβ3-mediated Col I gel contraction.