Mathematics & Statistics
http://hdl.handle.net/10344/20
2021-09-28T23:49:42ZEstimating the conditional probability of developing human papilloma virus related oropharyngeal cancer by combining machine learning and inverse bayesian modelling
http://hdl.handle.net/10344/10608
Estimating the conditional probability of developing human papilloma virus related oropharyngeal cancer by combining machine learning and inverse bayesian modelling
Tewari, Prerna; Kashdan, Eugene; Walsh, Cathal Dominic; Martin, Cara M.; Parnell, Andrew C.; O'Leary, John J.
The epidemic increase in the incidence of Human Papilloma Virus (HPV) related Oropharyngeal Squamous Cell Carcinomas (OPSCCs) in several countries worldwide represents a significant public health concern. Although gender neutral HPV vaccination programmes are expected to cause a reduction in the incidence rates of OPSCCs, these effects will not be evident in the foreseeable future. Secondary prevention strategies are currently not feasible due to an incomplete understanding of the natural history of oral HPV infections in OPSCCs. The key parameters that govern natural history models remain largely ill-defined for HPV related OPSCCs and cannot be easily inferred from experimental data. Mathematical models have been used to estimate some of these ill-defined parameters in cervical cancer, another HPV related cancer leading to successful implementation of cancer prevention strategies. We outline a “double-Bayesian” mathematical modelling approach, whereby, a Bayesian machine learning model first estimates the probability of an individual having an oral HPV infection, given OPSCC and other covariate information
peer-reviewed
2021-01-01T00:00:00ZEpidemiology of shoulder injuries in schoolboy rugby union in Ireland
http://hdl.handle.net/10344/10563
Epidemiology of shoulder injuries in schoolboy rugby union in Ireland
Leahy, Therese M.; Kenny, Ian C.; Campbell, Mark J.; Warrington, Giles D.; Cahalan, Róisin Máire; Harrison, Andrew J.; Lyons, Mark; Glynn, Liam G.; O'Sullivan, Kieran; Purtill, Helen; Comyns, Thomas M.
Background: The shoulder has been reported as a frequent location of injury in adult professional and amateur rugby, with match injury incidence rates ranging from 1.8 to 3 per 1000 player-hours (h). An increased understanding of the incidence and mechanism
of shoulder injuries in school rugby players is vital to establish effective injury preventive strategies and advise on appropriate rehabilitation. Purpose: To describe the incidence, nature, and severity of shoulder injuries in schoolboy rugby in Ireland. Study Design: Descriptive epidemiology study. Methods: Injury surveillance was carried out for Senior Cup teams across two seasons (N ¼ 665 players aged 17-19 years) in Ireland from 2018 to 2020. Match and training injury data were recorded using an online system by trained nominated injury recorders. Match exposure was also recorded
peer-reviewed
2021-01-01T00:00:00ZThe dynamics of liquid films, as described by the diffuse-interface model
http://hdl.handle.net/10344/10554
The dynamics of liquid films, as described by the diffuse-interface model
Benilov, Eugene
The dynamics of a thin layer of liquid between a flat solid substrate and an infinitely thick layer of saturated vapor is examined. The liquid
and vapor are two phases of the same fluid governed by the diffuse-interface model. The substrate is maintained at a fixed temperature, but
in the bulk of the fluid, the temperature is allowed to vary. The slope ε of the liquid/vapor interface is assumed to be small, as is the ratio of its
thickness to that of the film. Three asymptotic regimes are identified, depending on the vapor-to-liquid density ratio ρv/ρl
. If ρv/ρl ∼ 1 (which
implies that the temperature is comparable, but not necessarily close, to the critical value), the evolution of the interface is driven by the vertical
flow due to liquid/vapor phase transition, with the horizontal flow being negligible. In the limit ρv/ρl → 0, it is the other way around, and there
exists an intermediate regime, ρv/ρl ∼ ε
4/3, where the two effects are of the same order. Only the ρv/ρl → 0 limit is mathematically similar to
the case of incompressible (Navier–Stokes) liquids, whereas the asymptotic equations governing the other two regimes are of different types.
peer-reviewed
2020-01-01T00:00:00ZImpact of a national professional development programme for out-of-field teachers of mathematics in Ireland
http://hdl.handle.net/10344/10550
Impact of a national professional development programme for out-of-field teachers of mathematics in Ireland
Goos, Merrilyn; Ní Ríordáin, Máire; Faulkner, Fiona; Lane, Ciara
Out-of-field teaching refers to the practice of assigning teachers to teach subjects
that do not match their training or education. This paper reports on a study evaluating the impact of a national professional development programme for out-of-field teachers of post-primary school mathematics in Ireland – the Professional Diploma in Mathematics for Teaching. Evidence of impact was collected from three surveys. Two surveys evaluated changes in the prevalence of out-of-field teaching before and six years after the introduction of the programme. The third survey investigated programme graduates’ beliefs about mathematics, mathematics teaching and mathematics learning, and reported
changes in teaching practices. Outcomes of the programme included a reduction
in out-of-field teaching of mathematics and increased opportunities for graduates to teach higher level mathematics in the senior post-primary years. These teachers also endorsed child-centred beliefs and reported teaching practices consistent with the problem-solving orientation of the new mathematics curriculum. The findings go some way towards testing a theory of teacher change in order to enhance our understanding of how professional
development works to upskill out-of-field teachers.
peer-reviewed
2021-01-01T00:00:00Z