Mathematics of cell motility: have we got its number?
- 7 May 2008
- journal article
- research article
- Published by Springer Science and Business Media LLC in Journal of Mathematical Biology
- Vol. 58 (1-2), 105-134
- https://doi.org/10.1007/s00285-008-0182-2
Abstract
Mathematical and computational modeling is rapidly becoming an essential research technique complementing traditional experimental biological methods. However, lack of standard modeling methods, difficulties of translating biological phenomena into mathematical language, and differences in biological and mathematical mentalities continue to hinder the scientific progress. Here we focus on one area—cell motility—characterized by an unusually high modeling activity, largely due to a vast amount of quantitative, biophysical data, ‘modular’ character of motility, and pioneering vision of the area’s experimental leaders. In this review, after brief introduction to biology of cell movements, we discuss quantitative models of actin dynamics, protrusion, adhesion, contraction, and cell shape and movement that made an impact on the process of biological discovery. We also comment on modeling approaches and open questions.This publication has 126 references indexed in Scilit:
- A kinematic description of the trajectories of Listeria monocytogenes propelled by actin comet tailsProceedings of the National Academy of Sciences of the United States of America, 2007
- Self-organization of actin filament orientation in the dendritic-nucleation/array-treadmilling modelProceedings of the National Academy of Sciences of the United States of America, 2007
- Direct measurement of force generation by actin filament polymerization using an optical trapProceedings of the National Academy of Sciences of the United States of America, 2007
- Reversible stress softening of actin networksNature, 2007
- Cracking up: symmetry breaking in cellular systemsThe Journal of cell biology, 2006
- Transport of a 1D viscoelastic actin–myosin strip of gel as a model of a crawling cellPhysica A: Statistical Mechanics and its Applications, 2006
- Direct measurement of the lamellipodial protrusive force in a migrating cellThe Journal of cell biology, 2006
- In Silico Reconstitution of Listeria Propulsion Exhibits Nano-SaltationPLoS Biology, 2004
- Integrin-ligand binding properties govern cell migration speed through cell-substratum adhesivenessNature, 1997
- Rate constants for the reactions of ATP- and ADP-actin with the ends of actin filaments.The Journal of cell biology, 1986