title: Mathematical modeling of the intracellular protein dynamics: the importance of active transport along microtubules.
abstract: In this paper we propose a mathematical model of protein and mRNA transport inside a cell. The spatio-temporal model takes into account the active transport along microtubules in the cytoplasm as well as diffusion and is able to reproduce the oscillatory changes in protein concentration observed in many experimental data. In the model the protein and the mRNA interact with each other that allows us to classify the model as a simple gene regulatory network. The proposed model is generic and may be adapted to specific signaling pathways. On the basis of numerical simulations, we formulate a new hypothesis that the oscillatory dynamics is allowed by the mRNA active transport along microtubules from the nucleus to distant locations.
authors.affiliation: ICM, University of Warsaw, ul. Pawińskiego 5a, 02-106 Warsaw, Poland. Electronic address: mysz@icm.edu.pl.
authors.forename: Zuzanna
authors.initials: Z
authors.lastname: Szymańska
authors.affiliation: Institute of Applied Mathematics and Mechanics, Faculty of Mathematics, Informatics and Mechanics, University of Warsaw, ul. Banacha 2, 02-097 Warsaw, Poland.
authors.forename: Martin
authors.initials: M
authors.lastname: Parisot
authors.affiliation: Institute of Applied Mathematics and Mechanics, Faculty of Mathematics, Informatics and Mechanics, University of Warsaw, ul. Banacha 2, 02-097 Warsaw, Poland.
authors.forename: Mirosław
authors.initials: M
authors.lastname: Lachowicz
mesh_terms: D001693:Biological Transport, Active / Q000502:physiology; D003198:Computer Simulation; D025461:Feedback, Physiological / Q000502:physiology; D053263:Gene Regulatory Networks / Q000502:physiology*; D006801:Humans; D042541:Intracellular Space / Q000502:physiology*; D008870:Microtubules / Q000378:metabolism*; D008954:Models, Biological; D011506:Proteins / Q000378:metabolism*; D012333:RNA, Messenger / Q000378:metabolism*
chemical_list: D011506:Proteins; D012333:RNA, Messenger
keywords: Intracellular dynamic; Microtubule; Negative feedback; Parabolic hyperbolic coupled model