@article {2014,
	title = {Discrete one-dimensional crawlers on viscous substrates: achievable net displacements and their energy cost},
	number = {Mechanics Research Communications},
	year = {2014},
	publisher = {Elsevier},
	abstract = {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.},
	keywords = {Cell migration},
	doi = {10.1016/j.mechrescom.2013.10.023},
	url = {http://urania.sissa.it/xmlui/handle/1963/34449},
	author = {Giovanni Noselli and Amabile Tatone and Antonio DeSimone}
}
@article {2009,
	title = {Discrete-to-continuum limits for strain-alignment-coupled systems: Magnetostrictive solids, ferroelectric crystals and nematic elastomers},
	journal = {Netw. Heterog. Media 4 (2009) 667-708},
	year = {2009},
	publisher = {American Institute of Mathematical Sciences},
	abstract = {In the framework of linear elasticity, we study the limit of a class of discrete free energies modeling strain-alignment-coupled systems by a rigorous coarse-graining procedure, as the number of molecules diverges. We focus on three paradigmatic examples: magnetostrictive solids, ferroelectric crystals and nematic elastomers, obtaining in the limit three continuum models consistent with those commonly employed in the current literature. We also derive the correspondent macroscopic energies in the presence of displacement boundary conditions and of various kinds of applied external fields.},
	doi = {10.3934/nhm.2009.4.667},
	url = {http://hdl.handle.net/1963/3788},
	author = {Marco Cicalese and Antonio DeSimone and Caterina Ida Zeppieri}
}
