37 research outputs found

    Structural characterization and statistical-mechanical model of epidermal patterns

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    In proliferating epithelia of mammalian skin, cells of irregular polygonal-like shapes pack into complex nearly flat two-dimensional structures that are pliable to deformations. In this work, we employ various sensitive correlation functions to quantitatively characterize structural features of evolving packings of epithelial cells across length scales in mouse skin. We find that the pair statistics in direct and Fourier spaces of the cell centroids in the early stages of embryonic development show structural directional dependence, while in the late stages the patterns tend towards statistically isotropic states. We construct a minimalist four-component statistical-mechanical model involving effective isotropic pair interactions consisting of hard-core repulsion and extra short-ranged soft-core repulsion beyond the hard core, whose length scale is roughly the same as the hard core. The model parameters are optimized to match the sample pair statistics in both direct and Fourier spaces. By doing this, the parameters are biologically constrained. Our model predicts essentially the same polygonal shape distribution and size disparity of cells found in experiments as measured by Voronoi statistics. Moreover, our simulated equilibrium liquid-like configurations are able to match other nontrivial unconstrained statistics, which is a testament to the power and novelty of the model. We discuss ways in which our model might be extended so as to better understand morphogenesis (in particular the emergence of planar cell polarity), wound-healing, and disease progression processes in skin, and how it could be applied to the design of synthetic tissues

    The role of the dim-1 gene in muscle maintenance and stability in Caenorhabditis elegans

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    Unc-112 and dim-1 are a pair of interacting genes that are required for myofilament lattice assembly and maintenance in the nematode, Caenorhabdidtis elegans. The unc-112 gene encodes a novel protein localized to attachment structures that are responsible for anchoring the myofilament lattice to the muscle cell membrane and underlying body wall layers. Loss of UNC- 112 results in the failure of myofilament lattice assembly and lethality. Animals homozygous for the missense mutation unc-112 (r367), on the other hand, survive to adulthood but are paralyzed and have severely disorganized body wall muscle. Mutations in the dim-1 gene can suppress the phenotypic defects associated with unc-112 (r367). Animals homozygous for both dim-1 and unc-112 (r367) display wild type movement and have relatively well organized body wall muscle. Animals homozygous for the dim-1 mutation alone display mildly disorganized muscle, thus the dim-1 gene is required for maintaining muscle stability. The dim-1 gene encodes a 325 amino acid protein that constitutes three immunoglobulin repeats that are most similar to the intracellular muscle proteins, titin and twitchin. Immunofluorescence analysis revealed that DIM-1 is expressed in body wall muscle in a pattern reminiscent of myofilament associated proteins. Preliminary results suggest DIM-1 may associate with actin containing thin filaments. The disorganized muscle phenotype of dim-1 mutants and the localization of its gene product suggest that DIM-1 maintains the integrity of the myofilament lattice through the stabilization of thin filaments. Results presented in this thesis suggest that the suppression of unc-112 (r367) by dim-1 is indirect. First, sequence alterations for eight dim-1 alleles have been identified all of which result in the loss of the dim-1 gene product. Thus, the absence of DIM-1 results in the suppression of unc-112 (r367). Second, DIM-1 is not required for localization of UNC-112 to attachment structures and third, the DIM-1 protein is localized to myofilaments rather than attachment structures. These results indicate that the genetic interaction between dim-1 and unc-112 is not due to a direct interaction between their gene products. Rather, suppression of unc-112 appears to result from a change in the overall stability of the myofilament lattice caused by the loss of dim-1. This change may allow the altered r367 protein to maintain the integrity of the myofilament lattice.Science, Faculty ofZoology, Department ofGraduat
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