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Browsing Mathematics & Statistics by Title

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  • 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 ...
  • Peng, Defen; MacKenzie, Gilbert; Burke, Kevin (Wiley and Sons Ltd.,, 2020)
    We develop flexible multiparameter regression (MPR) survival models for interval‐censored survival data arising in longitudinal prospective studies and longitudinal randomised controlled clinical trials. A multiparameter ...
  • Burke, Kevin; MacKenzie, Gilbert (IWSM, 2013)
    The proportional hazards (PH) assumption in survival analysis may not always be appropriate. If data do not obey the assumption then we will reach incorrect conclusions by making it. For example we may find a covariate to ...
  • Burke, Kevin (University of Limerick, 2014)
    In general, parametric regression models can be motivated by allowing the parameters of a probability distribution to depend on covariates. Furthermore, it is standard practice to relate covariates to one parameter of ...
  • Burke, Kevin; MacKenzie, Gilbert (IWSM, 2012)
    It is well known that the proportional hazards (PH) assumption is a simplifying assumption in survival analysis that may not always be appropriate. However, PH models are routinely fitted and inference is made on the ...
  • 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 ...
  • Moore, Sean B. (University of Limerick, 2011)
    Combinational medical devices have evolved rapidly over the last 20 years, to be minimally invasive in order to reduce patient risk and recovery times. However the Manufacturing and Quality control of these devices has ...
  • Gildea, Sarah; Garvey, Marie; Lyons, Pamela; Lyons, Rachel; Gahan, Jacinta; Walsh, Cathal Dominic; Cullinane, Ann (MDPI, 2018)
    Equine influenza (EI) outbreaks occurred on 19 premises in Ireland during 2014. Disease affected thoroughbred (TB) and non-TB horses/ponies on a variety of premises including four racing yards. Initial clinical signs ...
  • Cellai, Davide; Bianconi, Ginestra (American Physical Society, 2016)
    In multiplex networks with a large number of layers, the nodes can have different activities, indicating the total number of layers in which the nodes are present. Here we model multiplex networks with heterogeneous activity ...
  • Fennell, Peter G.; Gleeson, James P. (Society for Industrial and Applied Mathematics, 2019)
    Multistate dynamical processes on networks, where nodes can occupy one of a multitude of discrete states, are gaining widespread use because of their ability to recreate realistic, complex behavior that cannot be adequately ...
  • Lawlor, Brian; Kennelly, Sean; O'Dwyer, Sarah; Cregg, Fiona; Walsh, Cathal Dominic; Cohen, Robert; Kenny, Rose Anne; Howard, Robert; Murphy, Caroline; Adams, Jessica; Daly, Leslie; Segurado, Ricardo; Gaynor, Siobhan; Crawford, Fiona; Mullan, Michael; Lucca, Ugo; Banzi, Rita; Pasquier, Florence; Breuilh, Laetitia; Riepe, Matthias W.; Kalman, Janos; Wallin, Anders; Borjesson-Hanson, Anne; Molloy, William; Tsolaki, Magda; Rikkert, Marcel Olde (BMJ Publshing Group, 2014)
    This study is a European multicentre, randomised, double-blind, placebo-controlled trial investigating the efficacy and safety of nilvadipine as a disease course modifying treatment for mild-tomoderate Alzheimer’s ...
  • Lawlor, Brian; Segurado, Ricardo; Kennelly, Sean; Olde Rikkert, Marcel G. M.; Howard, Robert; Pasquier, Florence; Borjesson-Hanson, Anne; Tsolaki, Magda; Lucca, Ugo; Molloy, D. William; Coen, Robert; Riepe, Matthias W.; Kálmán, János; Kenny, Rose Anne; Cregg, Fiona; O'Dwyer, Sarah; Walsh, Cathal Dominic; Adams, Jessica; Banzi, Rita; Breuilh, Laetitia; Daly, Leslie; Hendrix, Suzanne; Aisen, Paul; Gaynor, Siobhan; Sheikhi, Ali; Taekema, Diana G.; Verhey, Frans R.; Nemni, Raffaello; Nobili, Flavio; Franceschi, Massimo; Frisoni, Giovanni; Zanetti, Orazio; Konsta, Anastasia; Anastasios, Orologas; Nenopoulou, Styliani; Tsolaki-Tagaraki, Fani; Pakaski, Magdolna; Dereeper, Olivier; de la Sayette, Vincent; Sénéchal, Olivier; Lavenu, Isabelle; Devendeville, Agnés; Calais, Gauthier; Crawford, Fiona; Mullan, Michael (Public Library of Science, 2018)
    Background This study reports the findings of the first large-scale Phase III investigator-driven clinical trial to slow the rate of cognitive decline in Alzheimer disease with a dihydropyridine (DHP) calcium channel ...
  • Al-tawarah, Yasin; MacKenzie, Gilbert (IWSM, 2003)
    In longitudinal studies with a set of continuous or ordinal repeated response variables it may be convenient to summarize the outcome as a threshold event. Then, the time to this event becomes of interest. In this paper ...
  • MacKenzie, Gilbert; Do Ha, II; Lee, Youngjo (IWSM, 2003)
    Correlated survival times may be modelled by introducing a random effect, or frailty, component into the hazard function. For multivariate survival data we extend a non-PH model, the generalized time-dependent logistic (GTDL) ...
  • MacKenzie, Gilbert; Al-tawarah, Yasin; Blagojevic, Milisa; Burke, Kevin (IWSM, 2018)
    Non-PH parametric survival modelling is developed within the frame- work of the multiple logistic function. The family considered comprises three basic models: (a) a PH model, (b) an accelerated life model and (c) a model ...
  • Al-tawarah, Yasin; MacKenzie, Gilbert (IWSM, 2005)
    In this paper we investigate the use of accelerated Weibull hazard model. We compare it with Logistic Accelerated Hazard model. The models are used to analyze survival data from the Northern Ireland lung cancer study ...
  • Donovan, J; Murphy, Eamonn (Irish Statistical Association, 2007)
    Commercial irradiation typically involves applying electron beam or gamma radiation to a product with a view to sterilizing the product and killing any bacteria present. This is extremely important in the medical ...
  • Timoney, Catherine M. (University of Limerick, 2017)
    This work is concerned with finding accurate numerical approximations to nonlinear reaction-diffusion problems that exhibit layer phenomena. It considers three variations of problems of this type. These are; a ...
  • Moyles, Iain R.; Wetton, Brian (Elsevier, 2015)
    We present a numerical framework for solving localized pattern structures of reaction-diffusion type far from the Turing regime. We exploit asymptotic structure in a set of well established pattern formation problems to ...
  • Fannon, James S.; Fowler, Andrew C.; Moyles, Iain R. (The Royal Society Publishing, 2017)
    We summarize the present form of the instability theory for drumlin formation, which describes the coupled subglacial flow of ice, water and sediment. This model has evolved over the last 20 years, and is now at the point ...

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