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.  .

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.

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.

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.  .

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

The role of thrombin in C2C12-mediated fibrin/Col I gel contraction was therefore investigated, as non-polymerized fibrinogen did not induce contraction and since thrombin was required to form fibrin in the composite gels during the contraction process.

The addition of fibrinogen at 50 and 100 μg/ml allowed for an effective C2C12-mediated Col I gel contraction, whereas higher concentrations, such as 500 and 1000 μg/ml, repressed gel contraction, presumably due to a prohibitively high stiffness.

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

"I knew contraction would be painful and bloody.