caa a22 4500 445330163 CHVBK 20180317142734.0 cr unu---uuuuu 170323e20110801xx s 000 0 eng 10.1007/s00285-010-0371-7 doi (NATIONALLICENCE)springer-10.1007/s00285-010-0371-7 Modeling the formation of in vitro filopodia [Elektronische Daten] [K.-C. Lee, A. Gopinathan, J. Schwarz] Filopodia are bundles of actin filaments that extend out ahead of the leading edge of a crawling cell to probe its upcoming environment. In vitro experiments (Vignjevic etal. in J Cell Biol 160:951-962, 2003) have determined the minimal ingredients required for the formation of filopodia from the dendritic-like morphology of the leading edge. We model these experiments using kinetic aggregation equations for the density of growing bundle tips. In mean field, we determine the bundle size distribution to be broad for bundle sizes smaller than a characteristic bundle size above which the distribution decays exponentially. Two-dimensional simulations incorporating both bundling and cross-linking measure a bundle size distribution that agrees qualitatively with mean field. The simulations also demonstrate a nonmonotonicity in the radial extent of the dendritic region as a function of capping protein concentration, as was observed in experiments, due to the interplay between percolation and the ratcheting of growing filaments off a spherical obstacle. The Author(s), 2010 Nonequilibrium actin bundling nationallicence Filopodia nationallicence Kinetic aggregation nationallicence Lee K.-C Department of Mathematics, University of California-Davis, 95616, Davis, CA, USA aut Gopinathan A. School of Natural Sciences, University of California-Merced, 95348, Merced, CA, USA aut Schwarz J. Physics Department, Syracuse University, 13244, Syracuse, NY, USA aut Journal of Mathematical Biology Springer-Verlag 63/2(2011-08-01), 229-261 0303-6812 63:2<229 2011 63 285 https://doi.org/10.1007/s00285-010-0371-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00285-010-0371-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Lee K.-C Department of Mathematics, University of California-Davis, 95616, Davis, CA, USA aut NATIONALLICENCE 700 1- Gopinathan A. School of Natural Sciences, University of California-Merced, 95348, Merced, CA, USA aut NATIONALLICENCE 700 1- Schwarz J. Physics Department, Syracuse University, 13244, Syracuse, NY, USA aut NATIONALLICENCE 773 0- Journal of Mathematical Biology Springer-Verlag 63/2(2011-08-01), 229-261 0303-6812 63:2<229 2011 63 285 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer