#### About the Group

I have recently become auditor of the NUI Galway Postgraduate Modelling Group. I have taken over from Eoghan Staunton, who was the auditor from 2015-2018. The group gives research students in applied mathematics a chance to meet once a week to discuss some aspect of their individual research topics.

Participating in this group has been of great benefit to students and we are keen to always add to our membership and attendance. Although the group is mainly focused on modelling and applied mathematics, contributions in all areas of mathematics are welcome and many students studying pure mathematics have joined the group and contributed talks recently.

There are usually two presentations each week from NUI Galway students or a single presentation from an external speaker. A presentation by an NUI Galway student should generally be 10-15 minutes long with 5 minutes allocated to questions from the rest of the group. However, it is possible to request a longer or shorter talk in order to prepare for a conference or similar.

If you wish to attend any of the meetings feel free to come along.
Please contact me if you would like to contribute a talk on any area of mathematics or if you have any questions.

#### Weekly Meeting Time and Location

Day | Time | Location |

Friday | 12:10 | AM107 |

#### Previous Seminars and Events

Below you can find a list of titles of presentations given to the NUI Galway Modelling Research Group by members and guests of the group.
PDF copies of slides are also provided where available.

#### Previous Seminars 2019-2020

08/11/19 | Faiza Alssaedi - Coercive system for a fourth-order real-valued singularly perturbed problem. |

25/10/19 | Hannah Conroy Broderick - Electroelastic waves in dielectric plates. |

18/10/19 | Aoife Hill - Stretching a polymer network. |

Vinh Mai - The kinetics of bisubstrate enzymes with product inhibition. | |

11/10/19 | Róisín Hill - Bakhvalov meshes and MMPDEs. |

04/10/19 | Pearce Harney-Nolan - Tackle Classification. |

Cian O'Brien - Alternating Sign Matrices and Latin Squares. | |

27/09/19 | Eoghan Staunton - Stochastic Zero-Time Discontinuity Mappings |

Roberto Galizia - Master Stability Function: an Introduction. |

#### Christmas Blitz, 11 December 2018

Talk 1 | Gianmario Varchetta |

Talk 2 | Pearce Harney-Nolan |

Talk 3 | Roberto Galizia |

Talk 4 | Eoghan Staunton |

Talk 5 | Richard Burke |

Talk 6 | Petri Piiroinen |

#### Previous Seminars 2018-2019

#### Conference Preparation Day, 8 June 2018

14:00-14:25 | Eoghan Staunton - Noise and Multistability in the Square Root Map |

14:25-14:50 | Paul Greaney - Inhomogeneous Thinning and Breakdown of Thin Dielectric Elastomers |

14:50-15:15 | Faiza Alssaedi - Parameter robust methods for second-order complex-valued reaction-diffusion equations |

15:15-15:45 | --------------------BREAK-------------------- |

15:45-16:10 | Roberto Galizia - Phase Transitions of Multistable Networks via Switching Control |

16:10-16:35 | Vinh Mai - Modelling hyaluronan degradation by Streptococcus pneumoniae hyaluronate lyase |

#### Previous Seminars 2017-2018

#### Previous Seminars 2016-2017

#### Previous Seminars 2015-2016

13/05/16 | John Donohue, University of Limerick - Sulphur Cycling in Soil |

15/04/16 | Andrea Aleni - Decision space analysis using movement to characterize dynamic decision process |

08/04/16 | Roberto Galizia - Distributed Decisions on Complex Networks I |

Robert Mangan - Acoustics of the Brain | |

18/03/16 | Michael Welby - n-point Functions for Genus One Bosonic VOAs I |

Richard Burke - Flocking Models | |

11/03/16 | Eoghan Staunton - Noise, Hysteresis, Time Delay and the Resolution of a Two-Fold Singularity |

26/02/16 | Shane Burns, University of Edinburgh - Discrete Element Modelling |

03/12/15 | SIAM Student Chapter - SIAM Student Chapter Conference |

27/11/15 | Michael Welby - Introduction to Modular Forms |

Roberto Galizia - Earthquakes as Filipov Systems: Model Analysis | |

20/11/15 | Eoghan Staunton - The Importance of Noise in Dynamical Systems |

Paul Greaney - Static Equilibrium Configurations of a Model Red Blood Cell | |

13/11/15 | Roberto Galizia - Earthquakes as Stick-Slip Systems: Application of Filippov Theory |

Richard Burke - More Modified PDEs | |

06/11/15 | Michael Welby - Introduction to Vertex Algebras |

Paul Greaney - Modelling Considerations for Nanoparticle Toxicity | |

23/10/15 | Eoghan Staunton - Nonsmooth Dynamical Systems With Noise: An Introduction |

16/10/15 | Paul Greaney - Nanoparticle Toxicity: An Introduction |

Richard Burke - Evolving Networks: An Introduction |

#### Record of Previous Seminars 2012/2013 - 2014/2015

Thanks to John Donohue who recorded the titles of all presentations given in the group from 2012/2013 - 2014/2015. This list of titles can be seen below
and shows the diverse range of topics covered by the group so far.

#### Previous Seminars 2014-2015

11/05/15 | John Donohue - SIAM DS15 Practice Talk |

Richard Burke - Modified PDEs | |

27/04/15 | Paul Greaney - Assumptions and parameters for nanoparticle toxicity |

John Donohue - Collapses in migratory populations | |

20/04/15 | Artur Gower - The Mathematics of Paths in GO |

Richard Burke - End of the Envelopes | |

23/03/15 | John Donohue - BAMC Talk |

Shane Burns - BAMC Talk | |

16/03/15 | Richard Burke - More flocking |

Paul Greaney - Age-structured models | |

02/03/15 | Artur Gower - GO AI II |

John Donohue - Generalist predation on seasonal migrants II | |

23/02/15 | Paul Greaney - An Age-Structured Model for Nanoparticle Toxicity |

Shane Burns - Dynamics of a slender rod impacting a periodically-oscillating surface: II | |

16/02/15 | John Donohue - Generalist predation on seasonal migrants |

Richard Burke - Flocking | |

09/02/15 | Artur Gower - GO AI |

Shane Burns - Dynamics of a slender rod impacting a periodically-oscillating surface: I | |

08/12/14 | Paul Greaney - A Mechanical Model for Nanoparticle Uptake |

01/12/14 | Eoghan Staunton - Node Growth II |

Richard Burke - Envelopes | |

24/11/14 | John Donohue - Seasonal migration as a survival mechanism |

Shane Burns - Rigid-body velocity changes: Choosing an independent variable I | |

17/11/14 | Paul Greaney - Modelling Cellular Uptake of Nanoparticles |

Artur Gower - Programming Intelligence | |

10/11/14 | Eoghan Staunton - Node Growth |

Richard Burke - Finding envelopes | |

03/11/14 | Shane Burns - Rigid-body impact with friction |

Paul Greaney - Modelling Nanoparticle Uptake and Toxicity | |

24/10/14 | John Donohue - Density-dependent compensation in newborn birds |

Artur Gower - A General Criteria for Intelligence and Applications to AI | |

17/10/14 | Eoghan Staunton - Spatial Network Growth and Development Economics |

Richard Burke - Loads of envelopes | |

10/10/14 | John Donohue - Climate change effects on a real population |

Shane Burns - Impacts with friction | |

02/10/14 | Paul Greaney - Introduction to Flow Cytometry |

Artur Gower - Oblique Wrinkles | |

25/09/14 | Eoghan Staunton - Spatial Network Growth and Development Economics |

Richard Burke - Evolving networks - an introduction | |

18/09/14 | John Donohue - Predation and seasonal migration |

Shane Burns - Impacts with friction |

#### Previous Seminars 2013-14

23/05/14 | Shane Burns - Model considerations for impacts with friction |

16/05/14 | Kevin Doherty - Further Applications of the Autophosphorylation Model |

John Donohue - Seasonality and reproductive success | |

09/05/14 | Eoghan Staunton - The impact of the skill-space |

Richard Burke - Error envelopes | |

02/05/14 | Shane Burns - The early history of impact mechanics |

Artur Gower - Using an on board camera to track a train's motion | |

11/04/14 | John Donohue - Optimal timing of breeding decisions |

Kevin Doherty - A Four-Step Model of Aurora B Activation | |

26/03/14 | Eoghan Staunton - A Basic Spatial Network Model of Economic Development II |

Richard Burke - Gain Evolutions: Local and Global | |

19/03/14 | John Donohue - Adaptations to climate change in migrant populations II |

Shane Burns - Chattering considerations for the case of a slender rod with impact and friction II | |

12/03/14 | Eoghan Staunton - A Basic Spatial Network Model of Economic Development I |

Kevin Doherty - A Two-Step Model of Aurora B Activation | |

05/03/14 | Richard Burke - Network Gain Evolutions |

26/02/14 | Kevin Doherty - Autophosphorylating Proteins |

19/02/14 | Shane Burns - Chattering considerations for the case of a slender rod with impact and friction I |

John Donohue - Adaptations to climate change in migrant populations I | |

12/02/14 | Eoghan Staunton - Spatial Economic Development: A Network Theory Approach |

Peter White - A simple data assimilation problem in 2 dimensions | |

05/02/14 | Artur Gower - Intro to Residually Stressed Solids |

Richard Burke - A network evolution model | |

29/01/14 | John Donohue - Seasonal migration models |

Shane Burns - Impacts with friction | |

06/12/13 | Kevin Doherty - Autophosphorylation Kinetics |

Shane Burns - Magnetic Bearings | |

29/11/13 | Kevin Doherty - Cell biology |

John Donohue - Seasonal breeding and climate change | |

22/11/13 | Richard Burke - Counting triangles |

Peter White - Data Assimilation for a Gaussian Pulse | |

15/11/13 | Shane Burns - The Painlevé Paradox revisited |

Eoghan Staunton - The International Trade Network in Space and Time | |

08/11/13 | Peter White - Maximum principles with finite differences |

John Donohue - A switching model of seasonal migration | |

01/11/13 | Richard Burke - Network generation and metrics |

Eoghan Staunton - Networks - Spatial Growth Models | |

25/10/13 | John Donohue - Modelling seasonal reproduction |

Shane Burns - The Painlevé Paradox revisited | |

18/10/13 | Eoghan Staunton - Network Models in Economics |

Peter White - Solving Differential Equations using Finite Difference schemes | |

11/10/13 | Shane Burns - A classification problem in impact mechanics |

Richard Burke - Networks and bifurcations | |

04/10/13 | Peter White - An introduction |

John Donohue - An overview of predator-prey models | |

27/09/13 | Richard Burke - Networks, dynamics and decisions |

Eoghan Staunton - An introduction | |

17/09/13 | John Donohue - Seasonal migration models |

Shane Burns - Impacts with friction |

#### Previous Seminars 2012-13

25/04/13 | Shane Burns - Some assumptions |

Kevin Doherty - DNA binding reactions | |

11/04/13 | John Donohue - A dynamical systems approach to modelling migration |

Petri Piiroinen - Switching Systems IV | |

04/04/13 | Kevin Doherty - Microtubules |

Martin Meere - Mathematical Modelling of Tumour Growth II | |

21/03/13 | John Donohue - Stability of periodic orbits in a PDE system |

Shane Burns - An Energetic Bound on the Coefficent of Friction II | |

14/03/13 | Kevin Doherty - Aurora B |

Petri Piiroinen - Switching Systems III | |

07/03/13 | Martin Meere - Mathematical Modelling of Tumour Growth I |

Shane Burns - An Energetic Bound on the Coefficent of Friction | |

28/02/13 | John Donohue - The Lotka-Volterra model with seasonal migration |

Petri Piiroinen - Switching Systems II | |

14/02/13 | Shane Burns - The History of Impact Mechanics II |

Kevin Doherty - RNA | |

07/02/13 | John Donohue - Numerical solutions of a migrating population problem |

Petri Piiroinen - Switching systems I | |

31/01/13 | Shane Burns - The early history of impact mechanics |

Kevin Doherty - Protein binding reactions | |

24/01/13 | Kevin Doherty - DNA binding reactions |

John Donohue - Flux and growth of a migrating population | |

17/01/13 | Shane Burns - Parameter and inertial effects of the critical impulse ratio |

John Donohue - Numerical solutions to some convection-diffusion problems | |

14/12/12 | Shane Burns - The coefficient of friction II |

Kevin Doherty - CENP-A Loading | |

05/12/12 | Shane Burns - The coefficient of friction I |

John Donohue - Examples of seasonal migration II | |

28/11/12 | Petri Piiroinen - Filippov systems II |

Kevin Doherty - Parameter estimation | |

23/11/12 | Petri Piiroinen - Filippov systems I |

John Donohue - Examples of seasonal migration I | |

16/11/12 | Shane Burns - The Validity Of The Impact Laws In The Limiting Case |

Kevin Doherty - CENP-A Loading | |

09/11/12 | Vishu Guttal - Computational models of collective behaviour |

02/11/12 | Kevin Doherty - Biology by the numbers II |

John Donohue - Discretization of reaction-diffusion system | |

26/10/12 | John Donohue - A reaction-diffusion approach to seasonal migration (II) |

Shane Burns - Generalised Impact law for a 2D rigid body in the presence of Coulomb Friction | |

19/10/12 | Shane Burns - Comparison of Impact Laws continued |

Kevin Doherty - Biology by the numbers | |

12/10/12 | Kevin Doherty - Centromere Protein-A |

John Donohue - A reaction-diffusion approach to seasonal migration | |

05/10/12 | John Donohue - "The importance of being discrete" |

Shane Burns - The impact law | |

28/09/12 | Shane Burns - The Painleve Paradox |

Kevin Doherty - The cell cycle | |

21/09/12 | Kevin Doherty - Cell biology |

John Donohue - Preliminary analysis of seasonal migration model | |

14/09/12 | John Donohue - Introduction to my research topic |

Shane Burns - An introduction to impacting systems |