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Browsing MACSI - Mathematics Application Consortium for Science & Industry by Title

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  • Fowler, Andrew C; Kopteva, Natalia; Oakley, Charles (Society for Industrial and Applied Mathematics, 2006)
    We consider a deterministic model of landscape evolution through the mechanism of overland flow over an erodible substrate, using the St. Venant equations of hydraulics together with the Exner equation for hillslope erosion. ...
  • Kieran, Jennifer Ann; Norris, Suzanne; O'Leary, Aisling; Walsh, Cathal Dominic; Merriman, Raphael; Houlihan, D; McCormick, Aiden; McKiernan, Susan; Bergin, Colm; Barry, Michael (BioMed Central, 2015)
    Background: Recent advances in Hepatitis C therapeutics offer the possibility of cure but will be expensive. The cost of treatment may be partially offset by the avoidance of advanced liver disease. We performed a micro-costing ...
  • Gleeson, James P. (American Physical Society, 2011)
    Binary-state dynamics (such as the susceptible-infected-susceptible (SIS) model of disease spread, or Glauber spin dynamics) on random networks are accurately approximated using master equations. Standard mean-field and ...
  • Gleeson, James P. (American Physical Society, 2008)
    The mean size of unordered binary avalanches on infinite directed random networks may be determined using the damage propagation function introduced by [B. Samuelsson and J. E. S. Socolar, Phys. Rev. E 74, 036113 (2006)]. ...
  • Zammett, R.J; Fowler, Andrew C (Society for Industrial and Applied Mathematics, 2010)
    Spiral-shaped canyons on the polar ice caps of Mars are striking morphological features whose explanation is still mysterious. We pose a model for the kinetics at the ice-atmosphere interface based on the positive feedback ...
  • Melnik, Sergey; Ward, Jonathan A; Gleeson, James P.; Porter, Mason A (American Institute of Physics, 2013)
    The spread of ideas across a social network can be studied using complex contagion models, in which agents are activated by contact with multiple activated neighbors. The investigation of complex contagions can provide ...
  • Khaleque, Tania S; Fowler, Andrew C; Howell, P D; Vynnycky, M (American Institute of Physics, 2015)
    Motivated by convection of planetary mantles, we consider a mathematical model for Rayleigh-Benard convection in a basally heated layer of a fluid whose viscosity depends strongly on temperature and pressure, defined in ...
  • Cellai, Davide; López, Eduardo; Zhou, Jie; Gleeson, James P.; Bianconi, Ginestra (American Physical Society, 2013)
    From transportation networks to complex infrastructures, and to social and communication networks, a large variety of systems can be described in terms of multiplexes formed by a set of nodes interacting through different ...
  • Vynnycky, Michael; Masuda, Y (American Institute of Physics, 2013)
    The problem of fast viscous steady Rayleigh-Bénard convection in a rectangular enclosure is revisited using asymptotic and numerical methods. There are two generic cases: in the first, there is zero shear stress at all ...
  • Kyrke-Smith, T.M; Katz, R.F; Fowler, Andrew C (International Glaciological Society, 2013)
    One challenge in improving our understanding of ice-stream dynamics is to develop models of the spatial and temporal transition from ice-sheet to ice-stream flow. We address this with a new, vertically integrated, higher-order ...
  • Kyrke-Smith, T.M; Katz, R.F; Fowler, Andrew C (American Geophysical Union, 2015)
    Observations have long associated ice streams with the presence of meltwater at the bed. More recently, theoretical models have been able to reproduce ice stream behavior as a consequence of the coupled dynamics of ice and ...
  • Gleeson, James P. (2009)
    The motion of overdamped particles in a one-dimensional spatially-periodic potential is considered. The potential is also randomly-fluctuating in time, due to multiplicative colored noise terms, and has a deterministic ...
  • Melnik, Sergey; Hackett, Adam W.; Porter, Mason A; Mucha, Peter J; Gleeson, James P. (American Physical Society, 2011)
    We demonstrate that a tree-based theory for various dynamical processes operating on static, undirected networks yields extremely accurate results for several networks with high levels of clustering. We find that such a ...
  • Robinson, Marguerite; Fowler, Andrew C; Alexander, A.J; O'Brien, S.B.G (American Institute of Physics, 2008)
    We describe a simple model of a bubbly two-phase flow which is able to explain why waves propagate downward when a pint of Guinness is poured, and also how the waves are generated. Our theory involves a physically based ...

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