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  1. Article ; Online: Author Correction: Forced and spontaneous symmetry breaking in cell polarization.

    Miller, Pearson W / Fortunato, Daniel / Muratov, Cyrill / Greengard, Leslie / Shvartsman, Stanislav

    Nature computational science

    2022  Volume 2, Issue 11, Page(s) 771

    Language English
    Publishing date 2022-11-28
    Publishing country United States
    Document type Published Erratum
    ISSN 2662-8457
    ISSN (online) 2662-8457
    DOI 10.1038/s43588-022-00345-7
    Database MEDical Literature Analysis and Retrieval System OnLINE

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  2. Article ; Online: Forced and spontaneous symmetry breaking in cell polarization.

    Miller, Pearson W / Fortunato, Daniel / Muratov, Cyrill / Greengard, Leslie / Shvartsman, Stanislav

    Nature computational science

    2022  Volume 2, Issue 8, Page(s) 504–511

    Abstract: How does breaking the symmetry of an equation alter the symmetry of its solutions? Here, we systematically examine how reducing underlying symmetries from spherical to axisymmetric influences the dynamics of an archetypal model of cell polarization, a ... ...

    Abstract How does breaking the symmetry of an equation alter the symmetry of its solutions? Here, we systematically examine how reducing underlying symmetries from spherical to axisymmetric influences the dynamics of an archetypal model of cell polarization, a key process of biological spatial self-organization. Cell polarization is characterized by nonlinear and non-local dynamics, but we overcome the theory challenges these traits pose by introducing a broadly applicable numerical scheme allowing us to efficiently study continuum models in a wide range of geometries. Guided by numerical results, we discover a dynamical hierarchy of timescales that allows us to reduce relaxation to a purely geometric problem of area-preserving geodesic curvature flow. Through application of variational results, we analytically construct steady states on a number of biologically relevant shapes. In doing so, we reveal non-trivial solutions for symmetry breaking.
    Language English
    Publishing date 2022-08-22
    Publishing country United States
    Document type Journal Article
    ISSN 2662-8457
    ISSN (online) 2662-8457
    DOI 10.1038/s43588-022-00295-0
    Database MEDical Literature Analysis and Retrieval System OnLINE

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  3. Article ; Online: Characterizing viscoelastic mechanical properties of highly compliant polymers and biological tissues using impact indentation.

    Mijailovic, Aleksandar S / Qing, Bo / Fortunato, Daniel / Van Vliet, Krystyn J

    Acta biomaterialia

    2018  Volume 71, Page(s) 388–397

    Abstract: Precise and accurate measurement of viscoelastic mechanical properties becomes increasingly challenging as sample stiffness decreases to elastic moduli <1 kPa, largely due to difficulties detecting initial contact with the compliant sample surface. This ... ...

    Abstract Precise and accurate measurement of viscoelastic mechanical properties becomes increasingly challenging as sample stiffness decreases to elastic moduli <1 kPa, largely due to difficulties detecting initial contact with the compliant sample surface. This limitation is particularly relevant to characterization of biological soft tissues and compliant gels. Here, we employ impact indentation which, in contrast to shear rheology and conventional indentation, does not require contact detection a priori, and present a novel method to extract viscoelastic moduli and relaxation time constants directly from the impact response. We first validate our approach by using both impact indentation and shear rheology to characterize polydimethylsiloxane (PDMS) elastomers of stiffness ranging from 100 s of Pa to nearly 10 kPa. Assuming a linear viscoelastic constitutive model for the material, we find that the moduli and relaxation times obtained from fitting the impact response agree well with those obtained from fitting the rheological response. Next, we demonstrate our validated method on hydrated, biological soft tissues obtained from porcine brain, murine liver, and murine heart, and report the equilibrium shear moduli, instantaneous shear moduli, and relaxation time constants for each tissue. Together, our findings provide a new and straightforward approach capable of probing local mechanical properties of highly compliant viscoelastic materials with millimeter scale spatial resolution, mitigating complications involving contact detection or sample geometric constraints.
    Statement of significance: Characterization and optimization of mechanical properties can be essential for the proper function of biomaterials in diverse applications. However, precise and accurate measurement of viscoelastic mechanical properties becomes increasingly difficult with increased compliance (particularly for elastic moduli <1 kPa), largely due to challenges detecting initial contact with the compliant sample surface and measuring response at short timescale or high frequency. By contrast, impact indentation has highly accurate contact detection and can be used to measure short timescale (glassy) response. Here, we demonstrate an experimental and analytical method that confers significant advantages over existing approaches to extract spatially resolved viscoelastic moduli and characteristic time constants of biological tissues (e.g., brain and heart) and engineered biomaterials.
    MeSH term(s) Animals ; Brain ; Brain Chemistry ; Dimethylpolysiloxanes/chemistry ; Elastic Modulus ; Elastomers/chemistry ; Liver/chemistry ; Mice ; Models, Chemical ; Myocardium/chemistry ; Nylons/chemistry ; Swine
    Chemical Substances Dimethylpolysiloxanes ; Elastomers ; Nylons ; poly(dimethylsiloxane)-polyamide copolymer
    Language English
    Publishing date 2018-03-01
    Publishing country England
    Document type Journal Article ; Research Support, U.S. Gov't, Non-P.H.S.
    ZDB-ID 2173841-5
    ISSN 1878-7568 ; 1742-7061
    ISSN (online) 1878-7568
    ISSN 1742-7061
    DOI 10.1016/j.actbio.2018.02.017
    Database MEDical Literature Analysis and Retrieval System OnLINE

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