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Altered gastrocnemius contractile behavior in former achilles tendon rupture patients during walking
(2022)
Achilles tendon rupture (ATR) remains associated with functional limitations years after injury. Architectural remodeling of the gastrocnemius medialis (GM) muscle is typically observed in the affected leg and may compensate force deficits caused by a longer tendon. Yet patients seem to retain functional limitations during—low-force—walking gait. To explore the potential limits imposed by the remodeled GM muscle-tendon unit (MTU) on walking gait, we examined the contractile behavior of muscle fascicles during the stance phase. In a cross-sectional design, we studied nine former patients (males; age: 45 ± 9 years; height: 180 ± 7 cm; weight: 83 ± 6 kg) with a history of complete unilateral ATR, approximately 4 years post-surgery. Using ultrasonography, GM tendon morphology, muscle architecture at rest, and fascicular behavior were assessed during walking at 1.5 m⋅s–1 on a treadmill. Walking patterns were recorded with a motion capture system. The unaffected leg served as control. Lower limbs kinematics were largely similar between legs during walking. Typical features of ATR-related MTU remodeling were observed during the stance sub-phases corresponding to series elastic element (SEE) lengthening (energy storage) and SEE shortening (energy release), with shorter GM fascicles (36 and 36%, respectively) and greater pennation angles (8° and 12°, respectively). However, relative to the optimal fascicle length for force production, fascicles operated at comparable length in both legs. Similarly, when expressed relative to optimal fascicle length, fascicle contraction velocity was not different between sides, except at the time-point of peak series elastic element (SEE) length, where it was 39 ± 49% lower in the affected leg. Concomitantly, fascicles rotation during contraction was greater in the affected leg during the whole stance-phase, and architectural gear ratios (AGR) was larger during SEE lengthening. Under the present testing conditions, former ATR patients had recovered a relatively symmetrical walking gait pattern. Differences in seen AGR seem to accommodate the profound changes in MTU architecture, limiting the required fascicle shortening velocity. Overall, the contractile behavior of the GM fascicles does not restrict length- or velocity-dependent force potentials during this locomotor task.
A Formulation of Quantum Stochastic Processes and Some of its Properties. Hellwig, K.-E.; Stulpe, W.
(1983)
A Classical Reformulation of Finite-Dimensional Quantum Mechanics. Hellwig, K.-E.; Stulpe, W.
(1993)
Density Operator
(2009)
Operator
(2009)
Projection
(2009)
Self-Adjoint Operator
(2009)
Unitary Operator
(2009)
The concept of an injective affine embedding of the quantum states into a set of classical states, i.e., into the set of the probability measures on some measurable space, as well as its relation to statistically complete observables is revisited, and its limitation in view of a classical reformulation of the statistical scheme of quantum mechanics is discussed. In particular, on the basis of a theorem concerning a non-denseness property of a set of coexistent effects, it is shown that an injective classical embedding of the quantum states cannot be supplemented by an at least approximate classical description of the quantum mechanical effects. As an alternative approach, the concept of quasi-probability representations of quantum mechanics is considered.
The concept of an injective affine embedding of the quantum states into a set of classical states, i.e., into the set of the probability measures on some measurable space, as well as its relation to statistically complete observables is revisited, and its limitation in view of a classical reformulation of the statistical scheme of quantum mechanics is discussed. In particular, on the basis of a theorem concerning a non-denseness property of a set of coexistent effects, it is shown that an injective classical embedding of the quantum states cannot be supplemented by an at least approximate classical description of the quantum mechanical effects. As an alternative approach, the concept of quasi-probability representations of quantum mechanics is considered.
Neue Kläranlage Rostock - kombinierter Einsatz von Belebungs- und Aufstromfiltrationsverfahren
(1996)
Wasserwirtschaft
(2004)
Siedlungswasserwirtschaft
(2007)
Siedlungswasserwirtschaft
(2007)
Siedlungswasserwirtschaft
(2012)
Siedlungswasserwirtschaft
(2012)
Siedlungswasserwirtschaft
(2009)
Wasserwirtschaft
(2005)
Siedlungswasserwirtschaft
(2015)
Nachfolgende Ausführungen und Berechnungsbeispiele beziehen sich auf Kapitel 19 Siedlungswasserwirtschaft im „Wendehorst: Bautechnische Zahlentafeln 35. Auflage 2015“ (abgekürzt: BZ). Für den Bau von Anlagen der Siedlungswasserwirtschaft sind ebenso die Grundlagen der Hydraulik zu berücksichtigen. Aus diesem Grunde sind auch die entsprechenden Ausführungen zur Hydraulik zu beachten.
Siedlungswasserwirtschaft
(2015)
Stahlbau
(2012)
Stahlbau
(2015)
Es ist zwischen Stählen bis S460 und solchen mit höherer Streckgrenze zu unterscheiden. Stähle bis S460 sind auch für die plastische Tragwerksberechnung nach dem Fließgelenkverfahren zugelassen. Bei Stählen oberhalb S460 bis S700 ist neben der elastischen eine nichtlineare plastische Tragwerksberechnung unter Berücksichtigung von Teilplastizierungen von Bauteilen in Fließzonen möglich.
Stahlbau
(2015)