TY - JOUR
T1 - Discrete one-dimensional crawlers on viscous substrates: achievable net displacements and their energy cost
Y1 - 2014
A1 - Giovanni Noselli
A1 - Amabile Tatone
A1 - Antonio DeSimone
KW - Cell migration
AB - We study model one-dimensional crawlers, namely, model mechanical systems that can achieve self-propulsion by controlled shape changes of their body (extension or contraction of portions of the body), thanks to frictional interactions with a rigid substrate. We evaluate the achievable net displacement and the related energetic cost for self-propulsion by discrete crawlers (i.e., whose body is made of a discrete number of contractile or extensile segments) moving on substrates with either a Newtonian (linear) or a Bingham-type (stick-slip) rheology. Our analysis is aimed at constructing the basic building blocks towards an integrative, multi-scale description of crawling cell motility.
PB - Elsevier
UR - http://urania.sissa.it/xmlui/handle/1963/34449
U1 - 34591
U2 - Mathematics
ER -
TY - JOUR
T1 - Crawlers in viscous environments: linear vs nonlinear rheology
JF - International Journal of Non-Linear Mechanics 56, 142-147 (2013)
Y1 - 2013
A1 - Antonio DeSimone
A1 - Federica Guarnieri
A1 - Giovanni Noselli
A1 - Amabile Tatone
AB - We study model self-propelled crawlers which derive their propulsive capabilities from the tangential resistance to motion offered by the environment. Two types of relationships between tangential forces and slip velocities are considered: a linear, Newtonian one and a nonlinear one of Bingham-type. Different behaviors result from the two different rheologies. These differences and their implications in terms of motility performance are discussed. Our aim is to develop new tools and insight for future studies of cell motility by crawling.
PB - Elsevier
U1 - 34590
U2 - Mathematics
ER -
TY - JOUR
T1 - Crawling motility through the analysis of model locomotors: two case studies
JF - The European Physical Journal E, Volume 35, Issue 9, September 2012, Article number85
Y1 - 2012
A1 - Antonio DeSimone
A1 - Amabile Tatone
AB - We study model locomotors on a substrate, which derive their propulsive capabilities from the tangential (viscous or frictional) resistance offered by the substrate. Our aim is to develop new tools and insight for future studies of cellular motility by crawling and of collective bacterial motion. The purely viscous case (worm) is relevant for cellular motility by crawling of individual cells. We re-examine some recent results on snail locomotion in order to assess the role of finely regulated adhesion mechanisms in crawling motility. Our main conclusion is that such regulation, although well documented in several biological systems, is not indispensable to accomplish locomotion driven by internal deformations, provided that the crawler may execute sufficiently large body deformations. Thus, there is no snail theorem. Namely, the crawling analog of the scallop theorem of low Reynolds number hydrodynamics does not hold for snail-like crawlers. The frictional case is obtained by assuming that the viscous coefficient governing tangential resistance forces, which act parallel and in the direction opposite to the velocity of the point to which they are applied, depends on the normal force acting at that point. We combine these surface interactions with inertial effects in order to investigate the mechanisms governing the motility of a bristle-robot. This model locomotor is easily manufactured and has been proposed as an effective tool to replicate and study collective bacterial motility.
PB - Springer
UR - http://hdl.handle.net/1963/7017
U1 - 7014
U2 - Mathematics
U4 - 1
ER -