title: Canalization of gene expression and domain shifts in the Drosophila blastoderm by dynamical attractors.
abstract: The variation in the expression patterns of the gap genes in the blastoderm of the fruit fly Drosophila melanogaster reduces over time as a result of cross regulation between these genes, a fact that we have demonstrated in an accompanying article in PLoS Biology (see Manu et al., doi:10.1371/journal.pbio.1000049). This biologically essential process is an example of the phenomenon known as canalization. It has been suggested that the developmental trajectory of a wild-type organism is inherently stable, and that canalization is a manifestation of this property. Although the role of gap genes in the canalization process was established by correctly predicting the response of the system to particular perturbations, the stability of the developmental trajectory remains to be investigated. For many years, it has been speculated that stability against perturbations during development can be described by dynamical systems having attracting sets that drive reductions of volume in phase space. In this paper, we show that both the reduction in variability of gap gene expression as well as shifts in the position of posterior gap gene domains are the result of the actions of attractors in the gap gene dynamical system. Two biologically distinct dynamical regions exist in the early embryo, separated by a bifurcation at 53% egg length. In the anterior region, reduction in variation occurs because of stability induced by point attractors, while in the posterior, the stability of the developmental trajectory arises from a one-dimensional attracting manifold. This manifold also controls a previously characterized anterior shift of posterior region gap domains. Our analysis shows that the complex phenomena of canalization and pattern formation in the Drosophila blastoderm can be understood in terms of the qualitative features of the dynamical system. The result confirms the idea that attractors are important for developmental stability and shows a richer variety of dynamical attractors in developmental systems than has been previously recognized.
authors.affiliation: Department of Applied Mathematics and Statistics, and Center for Developmental Genetics, Stony Brook University, Stony Brook, New York, United States of America.
authors.lastname: Manu
authors.forename: Svetlana
authors.initials: S
authors.lastname: Surkova
authors.forename: Alexander V
authors.initials: AV
authors.lastname: Spirov
authors.forename: Vitaly V
authors.initials: VV
authors.lastname: Gursky
authors.forename: Hilde
authors.initials: H
authors.lastname: Janssens
authors.forename: Ah-Ram
authors.initials: AR
authors.lastname: Kim
authors.forename: Ovidiu
authors.initials: O
authors.lastname: Radulescu
authors.forename: Carlos E
authors.initials: CE
authors.lastname: Vanario-Alonso
authors.forename: David H
authors.initials: DH
authors.lastname: Sharp
authors.forename: Maria
authors.initials: M
authors.lastname: Samsonova
authors.forename: John
authors.initials: J
authors.lastname: Reinitz
mesh_terms: D000818:Animals; D001756:Blastoderm / Q000502:physiology*; D019521:Body Patterning / Q000502:physiology*; D003198:Computer Simulation; D004330:Drosophila / Q000033:anatomy & histology / Q000196:embryology* / Q000502:physiology*; D029721:Drosophila Proteins / Q000378:metabolism*; D018507:Gene Expression Regulation, Developmental / Q000502:physiology*; D008954:Models, Biological; D014157:Transcription Factors / Q000378:metabolism*
chemical_list: D029721:Drosophila Proteins; D014157:Transcription Factors