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Browsing Mathematics & Statistics by Title

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  • Gleeson, James P.; Melnik, Sergey; Ward, Jonathan A; Porter, Mason A; Murcha, Peter J (American Physical Society, 2012)
    Mean-field analysis is an important tool for understanding dynamics on complex networks. However, surprisingly little attention has been paid to the question of whether mean-field predictions are accurate, and this is ...
  • MacKenzie, Gilbert (IWSM, 2004)
    Conventionally, in longitudinal studies, the mean structure has been thought to be more important than the covariance structure between the repeated measures on the same individual. Often, it has been argued that, with ...
  • Lynch, Joseph; MacKenzie, Gilbert (IWSM, 2007)
    Kaplan-Meier analysis of a large breast cancer dataset is carried out under all-cause and cause-specific survival. The results are compared with a variety of model-based analyses, including Cox's Proportional Hazard ...
  • Faulkner, Fiona (University of Limerick, 2012)
    Declining standards in students’ mathematical competency levels has become a major issue in mathematics education both nationally and internationally (Smith 2004; Kajander and Lovric 2005; Gill et al 2010). This decline ...
  • Fennell, Peter G; Gleeson, James P.; Cellai, Davide (American Physical Society, 2014)
    Facilitated spin models were introduced some decades ago to mimic systems characterized by a glass transition. Recent developments have shown that a class of facilitated spin models is also able to reproduce characteristic ...
  • Gleeson, James P.; Melnik, Sergey (American Physical Society, 2009)
    An analytical approach to calculating bond percolation thresholds, sizes of k-cores, and sizes of giant connected components on structured random networks with nonzero clustering is presented. The networks are generated ...
  • Karpinski, Pawel; Szmida, Elzbieta; Misiak, Blazej; Ramsey, David; Leszczynski, Przemyslaw; Bebenek, Marek; Sedziak, Tomasz; Grzebieniak, Zygmunt; Jonkisz, Anna; Lebioda, Arleta; Sasiadek, Maria Malgorzata (Wiley, 2012)
    Background: Recent investigations have demonstrated the clear heterogeneity of sporadic colorectal cancer (CRC) with regard to CpG island methylation. Two unsupervised cluster analyses revealed that CRCs form three distinct ...
  • Gleeson, James P. (American Physical Society, 2013)
    A wide class of binary-state dynamics on networks-including, for example, the voter model, the Bass diffusion model, and threshold models-can be described in terms of transition rates (spin-flip probabilities) that depend ...
  • Gleeson, James P. (American Physical Society, 2009)
    Analytical results are derived for the bond percolation threshold and the size of the giant connected component in a class of random networks with nonzero clustering. The network's degree distribution and clustering spectrum ...
  • Devereux, Michael (University of Limerick, 2011)
    Foam and bubbles are ubiquitous in industry and nature. They have a wide range of applications but are also an undesirable product of certain processes. This thesis considers two individual industrial problems with the ...
  • Gil, Justyna; Ramsey, David; Stembalska, Agnieszka; Karpinski, Pawel; Pesz, Karolina A; Laczmanska, Izabela; Leszczynski, Przemyslaw; Grzebieniak, Zygmunt; Sasiadek, Maria Malgorzata (Springer-Verlag, 2012)
    Background: Epidemiological data show that colorectal cancer (CRC) is the second most frequent malignancy worldwide. The involvement of “minor impact genes” such as XME and DNA-repair genes in the etiology of sporadic ...
  • Hackett, Adam W. (University of Limerick, 2011)
    The network topologies on which many natural and synthetic systems are built provide ideal settings for the emergence of complex phenomena. One well-studied manifestation of this, called a cascade or avalanche, is observed ...
  • Hackett, Adam W.; Melnik, Sergey; Gleeson, James P. (American Physical Society, 2011)
    We present an analytical approach to determining the expected cascade size in a broad range of dynamical models on the class of random networks with arbitrary degree distribution and nonzero clustering introduced previously ...
  • Hackett, Adam W.; Gleeson, James P. (American Physical Society, 2013)
    We present an analytical approach to determining the expected cascade size in a broad range of dynamical models on the class of highly clustered random graphs introduced by Gleeson [J. P. Gleeson, Phys. Rev. E 80, 036107 ...
  • Gleeson, James P. (American Physical Society, 2002)
    Recently Vlad et al. [Phys. Rev. E. 63, 066304 (2001)] applied the method of decorrelation trajectories to the transport of tracers in stochastic velocity fields with constant drift, and found that the average ...
  • Templeton, John L; Spence, R.A.J.; Kennedy, T.L.; Parks, T.G.; MacKenzie, Gilbert; Hanna, W.A (BMJ Group, 1983)
    One hundred and thirty seven previously untreated outpatients with first and second degree haemorrhoids were allocated at random to treatment by infrared coagulation (n=66) or rubber band ligation (n= 71). Complete ...
  • Blagojevic, Milica; MacKenzie, Gilbert; Do Ha, II (IWSM, 2003)
    The non-PH Canonical Time Dependent Logistic survival regression model described by MacKenzie (1996, 2002), is extended by incorporating a multiplicative Gamma frailty component into the hazard function. The resulting model ...
  • Gleeson, James P.; Ward, Jonathan A; O'Sullivan, Kevin P; Lee, William T. (American Physical Society, 2014)
    Heavy-tailed distributions of meme popularity occur naturally in a model of meme diffusion on social networks. Competition between multiple memes for the limited resource of user attention is identified as the mechanism ...
  • Karpinski, Pawel; Ramsey, David; Grzebieniak, Zygmunt; Sasiadek, Maria Malgorzata; Blin, Nikolaus (American Association for Cancer Research, 2008)
  • Cellai, Davide; Lawlor, Aonghus; Dawson, Kenneth A; Gleeson, James P. (American Physical Society, 2013)
    k-core percolation is a percolation model which gives a notion of network functionality and has many applications in network science. In analyzing the resilience of a network under random damage, an extension of this model ...

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