Marc Herant and Micah Dembo

ABSTRACT: This chapter attempts to develop a general perspective on the phenomenon of active protrusion by ameboid cells. Except in rare special cases, principles of mass and momentum conservation require that one consider at least two phases to explain the process of cellular protrusion. These phases are best identified with the cytosolic and cytoskeletal components of the cytoplasm. A continuum mechanical formalism of Reactive Interpenetrative Flows (RIF) is contructed. It is general enough to encompass within its framework a large range of theories of active cell deformation and movement. Most physically plausible theories of protrusion fall into one of two classes: protrusion driven by cytoskeletal self-interactions; or protrusion driven by cytoskeletal membrane interactions. These are described within the RIF formalism. The RIF formalism is cast in a form that is amenable to computer simulations through standard numerical algorithms. An example is next given of the numerical study of the most elementary protrusive event possible: the formation of a single pseudopod by an isolated round cell. Some final thoughts are offered on the role of modeling in understanding cellular mechanical activity.