Arnold, Maxim

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Maxim Arnold joined the UT Dallas faculty in 2014 and is now an Associate Professor of Mathematical Sciences. His research interests include:

  • Asymptotic dynamics of large ensembles of particles
  • Shape evolution
  • Fluid dynamics
  • Navier-Stokes equations
  • Switching systems​

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Recent Submissions

Now showing 1 - 2 of 2
  • Item
    TASEP Modelling Provides a Parsimonious Explanation for the Ability of a Single uORF to Derepress Translation during the Integrated Stress Response
    (eLIFE Sciences Publications Ltd) Andreev, D. E.; Arnold, Maxim; Kiniry, S. J.; Loughran, G.; Michel, A. M.; Rachinskiy, Dmitry I.; Baranov, P. V.; 0000 0003 5341 0057 (Rachinskiy DI); 0000-0002-4500-8394 (Arnold, M); Arnold, Maxim; Rachinskiy, Dmitry I.
    Translation initiation is the rate-limiting step of protein synthesis that is downregulated during the Integrated Stress Response (ISR). Previously, we demonstrated that most human mRNAs that are resistant to this inhibition possess translated upstream open reading frames (uORFs), and that in some cases a single uORF is sufficient for the resistance. Here we developed a computational model of Initiation Complexes Interference with Elongating Ribosomes (ICIER) to gain insight into the mechanism. We explored the relationship between the flux of scanning ribosomes upstream and downstream of a single uORF depending on uORF features. Paradoxically, our analysis predicts that reducing ribosome flux upstream of certain uORFs increases initiation downstream. The model supports the derepression of downstream translation as a general mechanism of uORF-mediated stress resistance. It predicts that stress resistance can be achieved with long slowly decoded uORFs that do not favor translation reinitiation and that start with initiators of low leakiness. © Andreev et al.
  • Item
    Nonsmooth Convex Caustics for Birkhoff Billiards
    (Mathematical Sciences Publishers) Arnold, Maxim; Bialy, Misha; 0000-0002-4500-8394 (Arnold, M); Arnold, Maxim
    This paper is devoted to the examination of the properties of the string construction for the Birkhoff billiard. Based on purely geometric considerations, string construction is suited to providing a table for the Birkhoff billiard, having the prescribed caustic. Exploiting this framework together with the properties of convex caustics, we give a geometric proof of a result by Innami first proved in 2002 by means of Aubry-Mather theory. In the second part of the paper we show that applying the string construction one can find a new collection of examples of C-2-smooth convex billiard tables with a nonsmooth convex caustic.

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