title: Modeling the establishment of PAR protein polarity in the one-cell C. elegans embryo.
abstract: At the one-cell stage, the C. elegans embryo becomes polarized along the anterior-posterior axis. The PAR proteins form complementary anterior and posterior domains in a dynamic process driven by cytoskeletal rearrangement. Initially, the PAR proteins are uniformly distributed throughout the embryo. After a cue from fertilization, cortical actomyosin contracts toward the anterior pole. PAR-3/PAR-6/PKC-3 (the anterior PAR proteins) become restricted to the anterior cortex. PAR-1 and PAR-2 (the posterior PAR proteins) become enriched in the posterior cortical region. We present a mathematical model of this polarity establishment process, in which we take a novel approach to combine reaction-diffusion dynamics of the PAR proteins coupled to a simple model of actomyosin contraction. We show that known interactions between the PAR proteins are sufficient to explain many aspects of the observed cortical PAR dynamics in both wild-type and mutant embryos. However, cytoplasmic PAR protein polarity, which is vital for generating daughter cells with distinct molecular components, cannot be properly explained within such a framework. We therefore consider additional mechanisms that can reproduce the proper cytoplasmic polarity. In particular we predict that cytoskeletal asymmetry in the cytoplasm, in addition to the cortical actomyosin asymmetry, is a critical determinant of PAR protein localization.
authors.affiliation: Department of Mathematics, Imperial College London, London, United Kingdom.
authors.forename: Filipe
authors.initials: F
authors.lastname: Tostevin
authors.forename: Martin
authors.initials: M
authors.lastname: Howard
mesh_terms: D000205:Actomyosin; D000818:Animals; D019521:Body Patterning / Q000502:physiology*; D017173:Caenorhabditis elegans / Q000737:chemistry / Q000196:embryology* / Q000502:physiology*; D029742:Caenorhabditis elegans Proteins / Q000737:chemistry / Q000502:physiology*; D003198:Computer Simulation; D004625:Embryo, Nonmammalian / Q000737:chemistry / Q000502:physiology*; D008954:Models, Biological; D008956:Models, Chemical
chemical_list: D029742:Caenorhabditis elegans Proteins; D000205:Actomyosin