Nearly all muscle models and most motor control concepts assume that forces from individual muscle fibers and motor units sum in an additive manner once effects of in-series tendon compliance are taken into account. Due to the numerous mechanical linkages between individual fibers, though, it is unclear whether this assumption is warranted. This work examined motor unit force summation over a w...

Abstract In Shulman (J Funct Anal 263:1468–1484, Theorem 2.2) the author estimated cardinality of global image a subadditive map from group to an arbitrary power set and applied result functional equations Levi-Civita type (the relations this covering by subgroups will be shortly discussed in present paper). Here we establish metric stability theorem. Namely it shown that if set-valued F G spac...

We prove a hydrodynamic limit for ballistic deposition on a multidi-mensional lattice. In this growth model particles rain down at random and stick to the growing cluster at the first point of contact. The theorem is that if the initial random interface converges to a deterministic macroscopic function, then at later times the height of the scaled interface converges to the viscosity solution o...