Browsing Department of Mathematical Sciences by Submit Date

Browsing Department of Mathematical Sciences by Submit Date

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  • Fu, Daniel; Tan, Patrick; Kuznetsov, Alexey; Molkov, Yaroslav I (2014-03)
    Genetic oscillatory networks can be mathematically modeled with delay differential equations (DDEs). Interpreting genetic networks with DDEs gives a more intuitive understanding from a biological standpoint. However, it ...
  • Klimek, Slawomir; McBride, Matt (2014-03)
    The goal of this paper is to introduce a class of operators, which we call quantum Dirac type operators on a noncommutative sphere, by a gluing construction from copies of noncommutative disks, subject to an appropriate ...
  • Molkov, Yaroslav I; Shevtsova, Natalia A; Park, Choongseok; Ben-Tal, Alona; Smith, Jeffrey C; Rubin, Jonathan E; Rybak, Ilya A (2014-10)
    Breathing is a vital process providing the exchange of gases between the lungs and atmosphere. During quiet breathing, pumping air from the lungs is mostly performed by contraction of the diaphragm during inspiration, and ...
  • Kaschner, Scott R; Roeder, Roland K W (2015-02)
    Let f : X ⇢ X be a dominant meromorphic self-map, where X is a compact, connected complex manifold of dimension n>1. Suppose that there is an embedded copy of P1 that is invariant under f, with f holomorphic and transversally ...
  • Molkov, Yaroslav I.; Bacak, Bartholomew J.; Talpalar, Adolfo E.; Rybak, Ilya A. (PLoS, 2015-05)
    The locomotor gait in limbed animals is defined by the left-right leg coordination and locomotor speed. Coordination between left and right neural activities in the spinal cord controlling left and right legs is provided ...
  • Zheng, Wei (2015)
    A systematic study is carried out regarding universally optimal designs under the interference model, previously investigated by Kunert and Martin [Ann. Statist. 28 (2000) 1728–1742] and Kunert and Mersmann [J. Statist. ...
  • Vancak, V.; Goldberg, Y.; Bar-Lev, S. K.; Boukai, Benzion (Springer, 2015)
    Lifetime data are usually assumed to stem from a continuous distribution supported on [0, b) for some b ≤ ∞. The continuity assumption implies that the support of the distribution does not have atom points, particularly ...
  • Koch, Sarah; Roeder, Roland K. (Cambridge, 2015)
    The dynamical degrees of a rational map f:X⇢X are fundamental invariants describing the rate of growth of the action of iterates of f on the cohomology of X. When f has non-empty indeterminacy set, these quantities can be ...
  • Molev, Alexander; Mukhin, Evgeny E. (IOP, 2015-07)
    We describe the algebra of invariants of the vacuum module associated with an affinization of the Lie superalgebra gl(1|1). We give a formula for its Hilbert–Poincare´ series in a fermionic (cancellation-free) form which ...
  • Yattselev, Maxim L. (Elsevier, 2015-02)
    Given a function f holomorphic at infinity, the nth diagonal Padé approximant to f, denoted by [n/n]f, is a rational function of type (n,n) that has the highest order of contact with f at infinity. Nuttall’s theorem provides ...
  • Biswas, Indranil; Lawton, Sean; Ramras, Daniel (Springer, 2015-10)
    We compute the fundamental group of moduli spaces of Lie group valued representations of surface and torus groups.
  • Misiurewicz, Michal (Springer, 2014-12)
    For the maps of the two-dimensional sphere into itself that preserve the latitude foliation and are differentiable at the poles, lower estimates of the number of fixed points for the maps and their iterates are obtained. ...
  • Lynch, Rodney; Morton, Patrick (World Scientific, 2015-09)
    It is shown that the quartic Fermat equation x4 + y4 = 1 has nontrivial integral solutions in the Hilbert class field Σ of any quadratic field whose discriminant satisfies -d ≡ 1 (mod 8). A corollary is that the quartic ...
  • Kolyada, Sergiĭ; Misiurewicz, Michał; Snoha, L’ubomír (2015-10)
    On a compact real interval, the spaces of all transitive maps, all piecewise monotone transitive maps and all piecewise linear transitive maps are considered with the uniform metric. It is proved that they are contractible ...
  • Ford Versypt, Ashlee N.; Makrides, Elizabeth; Arciero, Julia C.; Ellwein, Laura; Layton, Anita T. (Elsevier, 2015-05)
    Renal blood flow is maintained within a narrow window by a set of intrinsic autoregulatory mechanisms. Here, a mathematical model of renal hemodynamics control in the rat kidney is used to understand the interactions between ...
  • Mukhin, Eugene; Young, C. A. S. (2014-05)
    Let be a simple Lie algebra. We consider the category of those modules over the affine quantum group whose -weights have finite multiplicity and lie in a finite union of cones generated by negative roots. We show that many ...
  • Alsedà, Lluís; Misiurewicz, Michał (AIMS, 2015-12)
    It is well known that a continuous piecewise monotone interval map with positive topological entropy is semiconjugate to a map of a constant slope and the same entropy, and if it is additionally transitive then this ...
  • Sarkar, Jyotirmoy; Sinha, Bikas K. (Springer, 2015-09)
    Sudoku is a popular combinatorial puzzle. We give a brief overview of some mathematical features of a Sudoku square. Then we focus on interpreting Sudoku squares as experimental designs in order to meet a practical need.
  • Guidoboni, Giovanna; Harris, Alon; Cassani, Simone; Arciero, Julia; Siesky, Brent; Amireskandari, Annahita; Tobe, Leslie; Egan, Patrick; Januleviciene, Ingrida; Park, Joshua (Association for Research in Vision and Opthalmology, 2014-07)
    PURPOSE: This study investigates the relationship between intraocular pressure (IOP) and retinal hemodynamics and predicts how arterial blood pressure (BP) and blood flow autoregulation (AR) influence this relationship. METHODS: ...
  • Zakharov, D. G.; Kuznetsov, Alexey S. (Springer, 2015-08)
    The combined effect of synaptic NMDA, AMPA, and GABA currents on the neuron model with response differentiation has been considered. It has been shown that the GABA and NMDA currents can compensate the effects of each ...

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