title: Continuous model for microtubule dynamics with catastrophe, rescue, and nucleation processes.
abstract: Microtubules are a major component of the cytoskeleton distinguished by highly dynamic behavior both in vitro and in vivo referred to as dynamic instability. We propose a general mathematical model that accounts for the growth, catastrophe, rescue, and nucleation processes in the polymerization of microtubules from tubulin dimers. Our model is an extension of various mathematical models developed earlier formulated in order to capture and unify the various aspects of tubulin polymerization. While attempting to use a minimal number of adjustable parameters, the proposed model covers a broad range of behaviors and has predictive features discussed in the paper. We have analyzed the range of resultant dynamical behavior of the microtubules by changing each of the parameter values at a time and observing the emergence of various dynamical regimes that agree well with the previously reported experimental data and behavior.
authors.affiliation: Institute for Mathematics and its Applications, University of Minnesota, 114 Lind Hall, Minneapolis, Minnesota 55455, USA. hinow@uwm.edu
authors.forename: Peter
authors.initials: P
authors.lastname: Hinow
authors.forename: Vahid
authors.initials: V
authors.lastname: Rezania
authors.forename: Jack A
authors.initials: JA
authors.lastname: Tuszyński
mesh_terms: D006160:Guanosine Triphosphate / Q000378:metabolism; D008870:Microtubules / Q000737:chemistry* / Q000378:metabolism*; D008954:Models, Biological; D011108:Polymers / Q000737:chemistry / Q000378:metabolism; D013997:Time Factors
chemical_list: D011108:Polymers; D006160:Guanosine Triphosphate