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The net force-length characteristics of a muscle is a combination of the force-length characteristics of both active and passive elements. The forces in the contractile element, in the series element and in the parallel element, F C E {\displaystyle F^{CE}} , F S E {\displaystyle F^{SE}} and F P E {\displaystyle F^{PE}} , respectively, satisfy
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Net work is typically calculated either from instantaneous power (muscle force x muscle velocity) or from the area enclosed by the work loop on a force vs. length plot. Both methods are mathematically equivalent and highly accurate, however the 'area inside the loop' method (despite its simplicity) can be tedious to carry out for large data sets.
The longitudinal axis is the force generating axis of the muscle and pennate fibers lie at an oblique angle. As tension increases in the muscle fibers, the pennation angle also increases. A greater pennation angle results in a smaller force being transmitted to the tendon. [9] Muscle architecture affects the force-velocity relationship.
Tensiomyography is a non-invasive, evidence-based measurement method that precisely measures the speed of muscle contraction under isometric conditions.It is used in sports performance and rehabilitation, and in sports medicine and research, for instance.
For instance, in some stages of physical development, the increase in mass may be due to both an increase in PCSA and in fiber length. Even in this case, muscle force does not increase as much as muscle mass does, because the mass increase is partly produced by a variation in fiber length, and fiber length has no effect on muscle force.
One feature of the ratio is that there is an optimal gear ratio for each muscle; as the length-tension and force-velocity relationships describe. Length-tension refers to the max tension that can be created over the muscle fiber strain range and force-velocity refers to the power that is possible of the fiber compared to the shortening velocity.
In the study of partial differential equations, the MUSCL scheme is a finite volume method that can provide highly accurate numerical solutions for a given system, even in cases where the solutions exhibit shocks, discontinuities, or large gradients.