Mechanical tissue matching

Relaxed Matching for Stabilization of Mechanical Systems

The method of controlled Lagrangians is a technique for stabilizing relative equilibria of mechanical systems with symmetry. This paper develops a modification of kinetic shaping technique in the theory of controlled Lagrangians. The main idea is that the dynamics associated with the controlled Lagrangian is amended by non-conservative forces that act in the shape directions; this gives additio...

Matching and stabilization of discrete mechanical systems

Anthony M. Bloch1, Melvin Leok2, Jerrold E. Marsden3, and Dmitry V. Zenkov4 ∗ 1 Department of Mathematics, University of Michigan, Ann Arbor, MI 48109, USA. 2 Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA. 3 Control and Dynamical Systems, California Institute of Technology 107-8, Pasadena, CA 91125, USA. 4 Department of Mathematics, North Carolina State University,...

Elastic Matching: Continuum Mechanical and Probabilistic Analysis

Matching and Stabilization of Linear Mechanical Systems

We consider linear controlled mechanical systems and show that controllability enables one to use the method of controlled Lagrangians for feedback stabilization of equilibria.

Mechanical control of tissue morphogenesis.

Mechanical forces participate in morphogenesis from the level of individual cells to whole organism patterning. This article reviews recent research that has identified specific roles for mechanical forces in important developmental events. One well defined example is that dynein-driven cilia create fluid flow that determines left-right patterning in the early mammalian embryo. Fluid flow is al...