The hallmarks of the normal heartbeat are both rapid onset of contraction and rapid relaxation as well as an inotropic response to both increased end-diastolic volume and increased heart rate. At the microscopic level, Ca(2+) plays a crucial role in normal cardiac contraction. This paper reviews the cycle of Ca(2+) fluxes during the normal heartbeat, which underlie the coupling between excitati...

OBJECTIVES The investigation of female pelvic floor biomechanics is attracting attention due to its importance in pelvic floor dysfunction and childbirth. To date, there are no established means of assessing pelvic floor elasticity. We propose the use of translabial ultrasound to estimate strain, one element of pubovisceral muscle elasticity. METHODS Ultrasound datasets of 98 women seen at a ...

Isometric tension in a muscle can be graded by varying the firing rate of each motor unit as well as by varying the number of units which are recruited. Several important reports have been published dealing with the relation between the tension produced in a muscle and firing rate of single motor units in voluntary contraction in human muscles 2-4. However, the question of how the firing rate c...

In this paper, the notion of θ*-weak contraction is introduced, which utilized to prove some fixed point results. These results are helpful give a positive response certain open question raised by Kannan and Rhoades on existence contractive definition does not force mapping be continuous at point. Some illustrative examples also given support our As applications result, we investigate uniquenes...

In this article, we study necessary and sufficient conditions for contraction incremental stability of dynamical systems with respect to non-Euclidean norms. First, introduce weak pairings as a framework contractivity arbitrary norms, characterize their properties. We the sign max <tex-math...

P L Powar and GRK Sahu [14] noticed that the fixed point may not exist for some self maps T defined on a set X. To deal with such cases idea of Serendipity had been introduced by in 2015. Considering lighter concept completeness viz. weak completeness, existence uniqueness established under contraction condition. In this paper we result serendipity PGA [15] Akhilesh Pathak 2018. This be useful ...

Let (M,d,m,≪,≤,τ) be a causally closed, K-globally hyperbolic, regular measured Lorentzian geodesic space satisfying the weak timelike curvature-dimension condition wTCDpe(K,N) in sense of Cavalletti and Mondino. We prove existence geodesics probability measures on M which satisfy entropic semiconvexity inequality defining whose densities with respect to m are additionally uniformly L∞ time. Th...

The aim of this paper is to propose a new faster iterative scheme (called AA-iteration) approximate the fixed point (b,η)-enriched contraction mapping in framework Banach spaces. It also proved that our iteration stable and converges than many iterations existing literature. For validity proposed scheme, we presented some numerical examples. Further, strong weak convergence results for b-enrich...

Throughout this paper, we always assume thatH is a real Hilbert space, whose inner product and norm are denoted by 〈·, ·〉 and ‖ · ‖. → and ⇀ are denoted by strong convergence and weak convergence, respectively. Let C be a nonempty closed convex subset ofH and T : C → C a mapping. In this paper, we denote the fixed point set of T by F T . T is said to be a contraction if there exists a constant ...