Motility at microscopic scales
Antonio De Simone, SISSA
Abstract: Motility of cells is at the root of many fundamental
processes in biology: from sperm cells swimming to fertilize an egg
cell, to leukocytes migrating towards newly opened wounds to
activate the response of the immune, to metastatic tumor cells
crawling to invade nearby tissues. We will discuss the mechanical
bases of cellular motility by swimming and crawling. Special
emphasis will be placed on the connections between low Reynolds
number swimming and Geometric Control Theory, and on the geometric
structure of the underlying equations of motion.
We will then examine some concrete example, taken from the case
studies that have been recently considered by our group and
including: reverse engineering of the euglenoid movement, undulatory
locomotion of snake-like robots, and one-dimensional models of
slender crawlers. Finally, we will re-examine the lessons learned in
the context of biological cell motility with the aim of building a
dictionary of elementary motility mechanism to be used in prototypes
of bio-inspired motile micro-robots.