BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Applied Mathematics Seminar - ECPv6.16.2//NONSGML v1.0//EN
CALSCALE:GREGORIAN
METHOD:PUBLISH
X-ORIGINAL-URL:https://applied-mathematics.wp.st-andrews.ac.uk
X-WR-CALDESC:Events for Applied Mathematics Seminar
REFRESH-INTERVAL;VALUE=DURATION:PT1H
X-Robots-Tag:noindex
X-PUBLISHED-TTL:PT1H
BEGIN:VTIMEZONE
TZID:Europe/London
BEGIN:DAYLIGHT
TZOFFSETFROM:+0000
TZOFFSETTO:+0100
TZNAME:BST
DTSTART:20210328T010000
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:+0100
TZOFFSETTO:+0000
TZNAME:GMT
DTSTART:20211031T010000
END:STANDARD
BEGIN:DAYLIGHT
TZOFFSETFROM:+0000
TZOFFSETTO:+0100
TZNAME:BST
DTSTART:20220327T010000
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:+0100
TZOFFSETTO:+0000
TZNAME:GMT
DTSTART:20221030T010000
END:STANDARD
BEGIN:DAYLIGHT
TZOFFSETFROM:+0000
TZOFFSETTO:+0100
TZNAME:BST
DTSTART:20230326T010000
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:+0100
TZOFFSETTO:+0000
TZNAME:GMT
DTSTART:20231029T010000
END:STANDARD
BEGIN:DAYLIGHT
TZOFFSETFROM:+0000
TZOFFSETTO:+0100
TZNAME:BST
DTSTART:20240331T010000
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:+0100
TZOFFSETTO:+0000
TZNAME:GMT
DTSTART:20241027T010000
END:STANDARD
BEGIN:DAYLIGHT
TZOFFSETFROM:+0000
TZOFFSETTO:+0100
TZNAME:BST
DTSTART:20250330T010000
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:+0100
TZOFFSETTO:+0000
TZNAME:GMT
DTSTART:20251026T010000
END:STANDARD
BEGIN:DAYLIGHT
TZOFFSETFROM:+0000
TZOFFSETTO:+0100
TZNAME:BST
DTSTART:20260329T010000
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:+0100
TZOFFSETTO:+0000
TZNAME:GMT
DTSTART:20261025T010000
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
DTSTART;TZID=Europe/London:20250214T140500
DTEND;TZID=Europe/London:20250214T150000
DTSTAMP:20260706T052407
CREATED:20241024T152219Z
LAST-MODIFIED:20250123T125349Z
UID:338-1739541900-1739545200@applied-mathematics.wp.st-andrews.ac.uk
SUMMARY:Dr Gabriel Barrenechea\, University of Strathclyde
DESCRIPTION:Affiliation: University of Strathclyde\, UK \nAcademic Webpage \nTitle: A reduced model for a problem in non-Newtonian fluid mechanics \nAbstract: We propose a finite element discretisation of a three-dimensional non-Newtonian flow whose dynamics are described by an Upper Convected Maxwell model.\nFirst\, a one-directional simplification of the UCM problem is made\, so the main\nvariables are velocity\, pressure\, and one vector which acts as the “square root”\nof the stress tensor. For this model a finite element method is proposed and analysed.\nThe scheme preserves structure in the sense that the velocity is divergence-free and the overall discretisation is energy consistent with the underlying\nproblem. We investigate the problem’s complexity and devise relevant timestepping strategies for effcient solution realisation. We showcase the method with several numerical experiments\, confirm the theory and demonstrate the efficiency of the scheme.\n 
URL:https://applied-mathematics.wp.st-andrews.ac.uk/event/338/
LOCATION:MAT Theatre D
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/London:20241129T140500
DTEND;TZID=Europe/London:20241129T150000
DTSTAMP:20260706T052407
CREATED:20240405T075119Z
LAST-MODIFIED:20241125T003156Z
UID:232-1732889100-1732892400@applied-mathematics.wp.st-andrews.ac.uk
SUMMARY:Prof.  José A. Carrillo\, University of Oxford
DESCRIPTION:Affiliation: University of Oxford\,  UK \nAcademic webpage \nTitle: Aggregation-Diffusion Equations for Collective Behaviour in the Sciences\n\nAbstract:\nMany phenomena in the life sciences\, ranging from the microscopic to macroscopic level\, exhibit surprisingly similar structures. Behaviour at the microscopic level\, including ion channel transport\, chemotaxis\, and angiogenesis\, and behaviour at the macroscopic level\, including herding of animal populations\, motion of human crowds\, and bacteria orientation\, are both largely driven by long-range attractive forces\, due to electrical\, chemical or social interactions\, and short-range repulsion\, due to dissipation or finite size effects. Various modelling approaches at the agent-based level\, from cellular automata to Brownian particles\, have been used to describe these phenomena. An alternative way to pass from microscopic models to continuum descriptions requires the analysis of the mean-field limit\, as the number of agents becomes large. All these approaches lead to a continuum kinematic equation for the evolution of the density of individuals known as the aggregation-diffusion equation. This equation models the evolution of the density of individuals of a population\, that move driven by the balances of forces: on one hand\, the diffusive term models diffusion of the population\, where individuals escape high concentration of individuals\, and on the other hand\, the aggregation forces due to the drifts modelling attraction/repulsion at a distance. The aggregation-diffusion equation can also be understood as the steepest-descent curve (gradient flow) of free energies coming from statistical physics. Significant effort has been devoted to the subtle mechanism of balance between aggregation and diffusion. In some extreme cases\, the minimisation of the free energy leads to partial concentration of the mass. Aggregation-diffusion equations are present in a wealth of applications across science and engineering. Of particular relevance is mathematical biology\, with an emphasis on cell population models. The aggregation terms\, either in scalar or in system form\, is often used to model the motion of cells as they concentrate or separate from a target or interact through chemical cues. The diffusion effects described above are consistent with population pressure effects\, whereby groups of cells naturally spread away from areas of high concentration. This talk will give an overview of the state of the art in the understanding of aggregation-diffusion equations\, and their applications in mathematical biology.
URL:https://applied-mathematics.wp.st-andrews.ac.uk/event/prof-jose-antonio-carrillo-oxford/
LOCATION:Physics Theatre C
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/London:20241122T140500
DTEND;TZID=Europe/London:20241122T150000
DTSTAMP:20260706T052407
CREATED:20240416T085115Z
LAST-MODIFIED:20241117T225535Z
UID:237-1732284300-1732287600@applied-mathematics.wp.st-andrews.ac.uk
SUMMARY:Dr. Niklas Kolbe\, RWTH Aachen
DESCRIPTION:Affiliation: RWTH Aachen \nAcademic Webpage \nTitle: Central finite volume schemes for coupled hyperbolic models \nAbstract: Various real-world problems in two-phase dynamics\, multi-scale processes and networks can be addressed by coupling hyperbolic models at a static interface. We propose a new relaxation based approach for the coupling of general hyperbolic systems\, in which the Lax curves of the coupled systems are not required. The approach is based on a relaxation limit taken at the coupling interface and embedded in an asymptotic preserving finite volume method. The role of the modified coupling condition is discussed and applications in traffic flow and vascular networks are presented.
URL:https://applied-mathematics.wp.st-andrews.ac.uk/event/dr-niklas-kolbe-rwth-aachen/
LOCATION:Physics Theatre C
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/London:20241115T140500
DTEND;TZID=Europe/London:20241115T150000
DTSTAMP:20260706T052407
CREATED:20240529T081934Z
LAST-MODIFIED:20241107T212044Z
UID:249-1731679500-1731682800@applied-mathematics.wp.st-andrews.ac.uk
SUMMARY:Dr. Cathal Cummins\, Heriot-Watt University
DESCRIPTION:Affiliation: Heriot Watt University \nAcademic webpage \nTitle: Resonance and viscous losses in wave energy systems \nAbstract:\nWave Energy Converters (WECs) harness the motion of ocean waves to generate renewable energy\, with sometimes complex dynamics underlying their performance. This talk explores the mathematical modelling of two leading types of WECs\, built here in Scotland. Each has distinct characteristics\, and each exhibits resonance. While resonance is beneficial for one of the WECs\, it is something to be avoided in the other. We will examine the underlying principles of these resonances and reveal how the standard mathematical framework (inviscid potential flow) breaks down under conditions of resonance\, partly due to viscous dissipation. A method will be introduced to account for viscous damping within a potential flow framework\, known as viscous potential flow.
URL:https://applied-mathematics.wp.st-andrews.ac.uk/event/dr-cathal-cummins-heriot-watt-university/
LOCATION:Phys Theatre A
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/London:20241011T140000
DTEND;TZID=Europe/London:20241011T150000
DTSTAMP:20260706T052407
CREATED:20240429T105425Z
LAST-MODIFIED:20241006T210101Z
UID:246-1728655200-1728658800@applied-mathematics.wp.st-andrews.ac.uk
SUMMARY:Prof. Jacek Banasiak\, University of Pretoria
DESCRIPTION:Academic Webpage \nTitle: Life cycle of mosquitoes and malaria – a journey through asymptotic analysis and monotone systems\nAuthors: J. Banasiak\, S. Y. Tchoumi and M. Bime Ghakanyuy\, University of Pretoria \nAbstract:  \nDue to the presence of populations with widely different vital rates\, such as mosquitoes and humans\, malaria dynamics offers rewarding examples of multiscale models represented by regularly and singularly perturbed systems of differential equations [3\,5\,6]. Recent improvements in their analysis [1\,2] allow for significantly simplifying such models without losing salient features and their original long-term dynamics. Moreover\, in many cases\, the application of the singular perturbation theory leads to simplified models that are monotone and thus allow for an even more comprehensive analysis. We illustrate the theoretical results with concrete models describing the spreading of malaria [3] and the gonotrophic cycle of mosquitoes [4\,7]. \nLiterature\n[1] F.C. Hoppensteadt\, Singular perturbations on the infinite interval\, Trans. Amer. Math. Soc. 123 (1966) 521–535.\n[2] J. Banasiak\, A note on the Tikhonov theorem on an infinite interval\, Vietnam J. Math. 49 (2021)\, no. 1\, 69–86.\n[3] J. Banasiak\, S.Y. Tchoumi\, Multiscale malaria models and their uniform in-time asymptotic analysis\, Mathematics and Computers in Simulation\, 221 (2024)\, 1 – 18.\n[4] G.A. Ngwa\, M.I. Teboh-Ewungkem\, Y. Dumont\, R. Ouifki\, J. Banasiak\, On a three-stage structured model for the dynamics of malaria transmission with human treatment\, adult vector demographics and one aquatic stage\, J. Theoret. Biol. 481 (2019) 202–222.\n[5] P. Rashkov\, B.W. Kooi\, Complexity of host-vector dynamics in a two-strain dengue model\, J. Biol. Dyn. 15 (1) (2021) 35–72.\n[6] P. Rashkov\, E. Venturino\, M. Aguiar\, N. Stollenwerk\, B.W. Kooi\, On the role of vector modeling in a minimalistic epidemic model\, Math. Biosci. Eng. 16 (5) (2019) 4314–4338.\n[7] J. Banasiak\, G. Ngwa\, M. Bime\, The Impact of Mating on Modeling Mosquito Dynamics: A Mathematical Investigation\, in preparation.\n \n 
URL:https://applied-mathematics.wp.st-andrews.ac.uk/event/prof-jacek-banasiak-university-of-pretoria/
LOCATION:Phys Theatre A
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/London:20241004T140000
DTEND;TZID=Europe/London:20241004T150000
DTSTAMP:20260706T052407
CREATED:20231206T113853Z
LAST-MODIFIED:20241002T193409Z
UID:188-1728050400-1728054000@applied-mathematics.wp.st-andrews.ac.uk
SUMMARY:Dr. Karen Meyer\, University of Dundee
DESCRIPTION:Academic webpage \nTitle: Persistence in Solar Physics\n\n\nAbstract: \n\nPersistence\, or long memory\, is of longstanding interest in solar physics\, having first been identified in time series of sunspot numbers in the seminal paper by Mandelbrot and Wallis (1969): “Some long‐run properties of geophysical records”. They used a method called Rescaled Range Analysis (R/S) to determine a Hurst exponent\, H=0.93\, which is indicative of strong persistence. It has since been suggested that for sunspot numbers\, and indeed most times series of solar quantities\, R/S is not an appropriate method for estimating persistence due to the non-stationary nature of the time series. Detrended fluctuation analysis (DFA) has been proposed as a more suitable method for estimating persistence\, and has since been widely used in the analysis of solar and geo-physical time series. However\, DFA is known to introduce uncontrolled bias and is in fact inappropriate for non-stationary processes (Bryce & Sprague\, 2012).\n\nHere\, we assume an alternative class of long-memory models\, more commonly found in statistics and econometrics: fractionally integrated processes. We revisit solar physics time series such as sunspot number and total solar irradiance with more robust estimators\, and identify higher persistence than previous studies\, as well as persistence over timescales significantly shorter than previously identified.\n\nWe also consider persistence in time series of quantities derived from solar physics simulations\, demonstrating that these simulations capture the memory structure that is present in the observational input data. Further\, we provide an algorithm for the quantitative assessment of simulation burn-in: the time after which a quantity has evolved away from its arbitrary initial condition to a physically more realistic state.
URL:https://applied-mathematics.wp.st-andrews.ac.uk/event/dr-karen-meyer-dundee/
LOCATION:Phys Theatre A
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/London:20240503T110000
DTEND;TZID=Europe/London:20240503T120000
DTSTAMP:20260706T052407
CREATED:20240206T092801Z
LAST-MODIFIED:20240606T145734Z
UID:206-1714734000-1714737600@applied-mathematics.wp.st-andrews.ac.uk
SUMMARY:Dr. Enrico Camporeale\, Queen Mary
DESCRIPTION:Affiliation: Queen Mary University \nAcademic Webpage \n  \nTitle: Data-Driven Discovery of Fokker-Planck Equation for the Earth’s Radiation Belts Electrons Using Physics-Informed Neural Networks \nAbstract: We use the framework of Physics-Informed Neural Network (PINN) to solve the inverse problem associated with the Fokker-Planck equation for radiation belts’ electron transport\, using 4 years of Van Allen Probes data. Traditionally\, reduced models have employed a diffusion equation based on the quasilinear approximation. We show that the dynamics of “killer electrons” is described more accurately by a drift-diffusion equation\, and that drift is as important as diffusion for nearly-equatorially trapped ∼1 MeV electrons in the inner part of the belt. Moreover\, we present a recipe for gleaning physical insight from solving the ill-posed inverse problem of inferring model coefficients from data using PINNs. Furthermore\, we derive a parameterization for the diffusion and drift coefficients as a function of L only\, which is both simpler and more accurate than earlier models. Finally\, we use the PINN technique to develop an automatic event identification method that allows identifying times at which the radial transport assumption is inadequate to describe all the physics of interest.
URL:https://applied-mathematics.wp.st-andrews.ac.uk/event/dr-enrico-camporeale-queen-mary/
LOCATION:MAT Theatre B
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/London:20240419T140000
DTEND;TZID=Europe/London:20240419T150000
DTSTAMP:20260706T052407
CREATED:20231222T095754Z
LAST-MODIFIED:20240411T063040Z
UID:192-1713535200-1713538800@applied-mathematics.wp.st-andrews.ac.uk
SUMMARY:Prof Emmanuil Georgoulis\, Heriot Watt and NTU Athens
DESCRIPTION:Affiliation: Heriot Watt and National Technical University Athens \nAcademic Webpage \nTitle: Discontinuous Galerkin methods on arbitrarily-shaped elements: stability\, analysis\, and adaptivity \nAbstract: I will present a recent generalisation of the popular interior-penalty discontinuous Galerkin (dG) method discretizing general classes of linear and nonlinear advection-diffusion-reaction problems to meshes comprising extremely general\, essentially arbitrarily-shaped element shapes. In particular\, our analysis allows for curved element shapes\, without the use of non-linear elemental maps. The feasibility of the method relies on the definition of a suitable choice of the discontinuity-penalisation\, which turns out to be explicitly dependent on the particular element shape\, but essentially independent on small shape variations.  A priori error bounds for the resulting method will be given\, under very mild structural assumptions restricting the magnitude of the local curvature of element boundaries. In the second part of the talk\, I plan to present new\, rigorous\, a posteriori  error estimates in various norms for the above method for elliptic as well as a class of semilinear parabolic problems. The key challenge of robustness with respect to local element shape variations. I will present some ideas on how this is addressed theoretically\, by generalising existing concepts of proof of a posteriori error estimates for non-conforming Galerkin methods. Numerical experiments will be also presented throughout the talk aiming to motivate and showcase the practicality and the potential advantages of the proposed numerical framework.
URL:https://applied-mathematics.wp.st-andrews.ac.uk/event/prof-emmanuil-georgoulis-heriot-watt-national-technical-university-athens/
LOCATION:MAT Theatre B
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/London:20240405T140000
DTEND;TZID=Europe/London:20240405T150000
DTSTAMP:20260706T052407
CREATED:20231031T104751Z
LAST-MODIFIED:20240331T221954Z
UID:173-1712325600-1712329200@applied-mathematics.wp.st-andrews.ac.uk
SUMMARY:Prof Joseph Henry Lacasce\, Oslo
DESCRIPTION:Affiliation: University of Oslo\, Norway \nAcademic Webpage \nTitle: Vortices over bathymetry \nAbstract: In many regions of the ocean\, the flow is dominated by surface-intensified vortices with scales of 10s of kilometers. These interact with bottom topography\, often non-intuitive ways. It is possible to predict the mean flow generated by such “geostrophic turbulence” using a simple variational argument. With a single fluid layer\, the predicted flow is correlated with the bathymetry\, with cyclonic flow around basins\, but with the small scales smoothed out. With two fluid layers\, the flow is bottom-intensified\, with the same sense of circulation. Interestingly\, at larger energies the deep flow is strong enough that the deep potential vorticity is “homogenized”. In such cases\, the topographic effect vanishes and the flow is effectively like that over a flat bottom.  \nWe examine a range of numerical turbulence simulations in light of the predictions. The basin-scale flow is as predicted\, bottom-intensified with the correct circulation. But in addition\, an oppositely-signed (anticyclonic) vortex is often observed at the surface. Such vortices are also seen in the ocean\, notably a semi-permanent feature in the Lofoten Basin west of Norway. We consider possible explanations for this\, and also how bottom friction modifies the different components of the flow. With the addition of the planetary beta effect\, the resulting surface vortices closely resemble those in the ocean\, as seen by satellite.  
URL:https://applied-mathematics.wp.st-andrews.ac.uk/event/prof-joseph-henry-lacasce-university-of-oslo/
LOCATION:WRL Theatre B
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/London:20240329T140000
DTEND;TZID=Europe/London:20240329T150000
DTSTAMP:20260706T052407
CREATED:20240304T183809Z
LAST-MODIFIED:20240325T152414Z
UID:217-1711720800-1711724400@applied-mathematics.wp.st-andrews.ac.uk
SUMMARY:Dr Wessel Woldman\, Univ. of Birmingham & Neuronostics Ltd
DESCRIPTION:Affiliation: University of Birmingham and Neuronostics Ltd \nAcademic Webpage \nTitle: Computational biomarkers for epilepsy from clinically non-informative EEG \nAbstract: In this talk\, I will provide an overview of several studies where computational analysis of routine clinical recordings has led to novel set of candidate biomarkers for seizures and epilepsy. By using a dynamic network model approach\, I will show how we can systematically explore how changes to network structure or model parameters influence the seizure-likelihood in model simulations. Finally\, I will discuss how we are currently aiming to assess the potential added value and robustness of these candidate markers in clinical studies. \n  \n  \n 
URL:https://applied-mathematics.wp.st-andrews.ac.uk/event/dr-wessel-woldman-birmingham/
LOCATION:MAT Theatre B
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/London:20240315T140000
DTEND;TZID=Europe/London:20240315T150000
DTSTAMP:20260706T052407
CREATED:20231002T090715Z
LAST-MODIFIED:20240307T143717Z
UID:52-1710511200-1710514800@applied-mathematics.wp.st-andrews.ac.uk
SUMMARY:Dr Susanne Horn\, Coventry
DESCRIPTION:Affiliation: Coventry University \nAcademic Webpage \nTitle: Generating tornado-like vortices in Coriolis-centrifugal convection \nAbstract: Tornadoes are the most intense atmospheric vortices and have been observed on all continents of Earth (except Antarctica)\, and even on Mars. The most dangerous tornadoes\ndevelop within the mesocyclone of supercell thunderstorms. But what makes a mesocyclone tornadic or not remains one of the greatest mysteries of tornado research\, with less than 25%\nof mesocyclones producing tornadoes. Magnetic tornadoes have also been observed in the solar atmosphere and are believed to be crucial for coronal heating. Yet\, also in the Sun\, the\nformation mechanisms are far from being fully understood. Thus\, the generation of tornadoes and tornado-like vortices is a major and sometimes controversial subject in planetary\,\natmospheric\, and solar science. Here\, I will explore how tornadoes are self-consistently generated in Coriolis-centrifugal convection\, that is rotating Rayleigh-Benard convection with ´\nthe explicit inclusion of centrifugal buoyancy. Turbulent Coriolis-centrifugal convection in a cylindrical domain constitutes an idealised model system of tornadic storms\, where the\nrotating cylinder represents the mesocyclone of a supercell thunderstorm. I will discuss possible explanations for why seemingly similar mesocyclones may or may not spawn\ntornadoes\, and how varying boundary conditions and magnetic fields affect the morphology and other flow characteristics. I will show that centrifugal buoyancy is indeed highly relevant\nfor the understanding of these planetary and solar atmospheric vortices\, and likely a key component in next-generation models of tornado physics.
URL:https://applied-mathematics.wp.st-andrews.ac.uk/event/dr-susanne-horn/
LOCATION:MAT Theatre B
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/London:20240216T140000
DTEND;TZID=Europe/London:20240216T150000
DTSTAMP:20260706T052407
CREATED:20231017T061000Z
LAST-MODIFIED:20240304T184024Z
UID:157-1708092000-1708095600@applied-mathematics.wp.st-andrews.ac.uk
SUMMARY:Prof Cleopatra Christoforou\, Cyprus
DESCRIPTION:Affiliation: University of Cyprus \nAcademic webpage \nTitle: An exposition on hyperbolic balance laws with application to an Euler-type flocking model \nAbstract. Mathematical models introduced to capture the emergent behavior of self-organized systems have brought new mathematical challenges and most studies on flocking models investigate so far smooth solutions. In this talk\, we will first have an overview of the theory of entropy weak solutions to hyperbolic balance laws and then describe an Euler-type flocking problem with an all-to-all interaction kernel. We will discuss how the theory of balance laws is further developed to establish the global existence of entropy weak solutions to Euler-type flocking systems with arbitrary initial data and also capture unconditional time-asymptotic flocking behavior for weak solutions.
URL:https://applied-mathematics.wp.st-andrews.ac.uk/event/prof-cleopatra-christoforou-cyprus/
LOCATION:MAT Theatre B
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/London:20231208T140000
DTEND;TZID=Europe/London:20231208T150000
DTSTAMP:20260706T052407
CREATED:20231004T193606Z
LAST-MODIFIED:20240110T114426Z
UID:140-1702044000-1702047600@applied-mathematics.wp.st-andrews.ac.uk
SUMMARY:Dr Irene Kyza\, Dundee
DESCRIPTION:Academic webpage \nAffiliation: University of Dundee (soon to be in St Andrews) \nSeminar title: A posteriori error Control and Adaptivity for problems with Finite Time Blowup \nAbstract: In this talk we discuss numerical strategies inspired by problems exhibiting very sharp concentrations\, e.g.\, tumor growth and chemotaxis. More specifically\, we present results on the a posteriori error control and adaptivity for a semilinear parabolic evolution problem with possible blowup in finite time. In particular\, we rigorously derive a posteriori error estimators in various norms for finite element-type schemes. The obtained estimates are conditional\, i.e.\, they are valid under verifiable conditions. Utilising the obtained estimates we design space-time adaptive strategies\, that allow us to enter the blowup regime and approximate the blowup time. Furthermore\, we compare the different a posteriori error estimators and the proposed adaptive strategies\, and we discuss advantages and disadvantages. This is joint work with A. Cangiani (SISSA\, Italy)\, E.H. Georgoulis (Heriot-Watt University and NTUA\, Greece) and S. Metcalfe (McGill University\, Canada). \n 
URL:https://applied-mathematics.wp.st-andrews.ac.uk/event/irene-kyza-dundee-university-soon-to-be-st-andrews/
LOCATION:MAT Theatre B
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/London:20231124T140000
DTEND;TZID=Europe/London:20231124T150000
DTSTAMP:20260706T052407
CREATED:20231027T085241Z
LAST-MODIFIED:20231121T092916Z
UID:165-1700834400-1700838000@applied-mathematics.wp.st-andrews.ac.uk
SUMMARY:Dr Andrew Krause\, Durham
DESCRIPTION:Affiliation: Durham University \nAcademic Webpage \nTitle: Dynamical Systems Approaches and Interactive Visualisations for Pattern Formation\nAbstract: Natural patterns\, such as those created during embryological development\, can arise from enormously complex processes occurring across vast scales of space and time. A key scientific challenge is to conceptually map out these processes in terms of distinct mechanisms\, and their interplay. Dynamical systems theory provides several tools for developing hypotheses regarding such processes\, and for understanding the limitations of potential mechanisms. \nWe will discuss the uses and limitations of linear and nonlinear analyses of reaction-transport models in the context of understanding problems of multiscale periodic patterning. A focus will be on understanding robustness and the ability for ‘generic’ models to exhibit different patterning behaviours\, without having to quantify molecular details of a particular system. We will aim to demonstrate how these kinds of models and ideas can help generalize insights from specific systems and numerical simulations\, while also discussing fundamental limitations to this kind of modelling. VisualPDE.com will be introduced as a tool to rapidly prototype simple models\, as well as to teach and communicate aspects of PDEs more generally. We will end with a range of open problems\, both technical and conceptual.
URL:https://applied-mathematics.wp.st-andrews.ac.uk/event/dr-andrew-krause-durham/
LOCATION:MAT Theatre B
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/London:20231117T140000
DTEND;TZID=Europe/London:20231117T150000
DTSTAMP:20260706T052407
CREATED:20231002T090937Z
LAST-MODIFIED:20231106T062726Z
UID:56-1700229600-1700233200@applied-mathematics.wp.st-andrews.ac.uk
SUMMARY:Prof Mitchell Berger\, Exeter
DESCRIPTION:Affiliation: University of Exeter \nAcademic webpage \nTitle: Characterization of winding and entanglement in spherical and cubic volumes \nAbstract: It is often useful to quantify the topological complexity of magnetic fields (as well as polymer entanglements). Simulations and observations of magnetic fields often involve spherical volumes (either interior\, exterior\, or a spherical shell. Some simulations involve the interiors of cubes or cuboids. I will describes general procedures for working in such volumes.  There will be a brief excursion to Borromean winding\, and\, along the way\, a mention of Gauss-Bonnet. \n 
URL:https://applied-mathematics.wp.st-andrews.ac.uk/event/prof-mitchell-berger/
LOCATION:MAT Theatre B
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/London:20231110T140000
DTEND;TZID=Europe/London:20231110T150000
DTSTAMP:20260706T052407
CREATED:20231002T090827Z
LAST-MODIFIED:20231106T115206Z
UID:54-1699624800-1699628400@applied-mathematics.wp.st-andrews.ac.uk
SUMMARY:Dr Tom Elsden\, St Andrews
DESCRIPTION:Affiliation: University of St Andrews \nPersonal webpage \nTitle: Ultra Low Frequency Waves of Earth’s Magnetosphere\n \nAbstract: \nMy research focusses on magnetohydrodynamic (MHD) waves which manifest in Earth’s magnetosphere\, known as ultra low frequency (ULF) waves (frequencies ~1mHz – 1Hz). Some of the first measurements by ground magnetometers of ULF waves date back to 1859 following the Carrington event (a large geomagnetic storm triggered by a coronal mass ejection). They communicate large scale disturbances in Earth’s magnetic field\, generally caused by the interaction with the solar wind. Over the last 20 years or so\, there has been a resurgence in the study of ULF waves\, due to their critical effect on energetic particles in the Earth’s magnetosphere\, which play an important role in space weather.\n \nIn this talk\, I’ll provide a broad introduction to the magnetosphere and describe the what\, where\, when and why of ULF waves. I realise that many members of the applied division will not be familiar with this area\, so I will treat this more as a general overview of some topics I’ve worked on\, with an emphasis on explaining the big picture ideas. I study ULF waves using numerical MHD modelling\, and I’ll discuss the approach I’ve taken to this and how that fits in to the broader landscape of magnetospheric MHD modelling. For members of the solar group\, this talk will be rather similar to the seminar I gave to the group last year! 
URL:https://applied-mathematics.wp.st-andrews.ac.uk/event/dr-tom-elsden/
LOCATION:MAT Theatre B
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/London:20231103T140000
DTEND;TZID=Europe/London:20231103T150000
DTSTAMP:20260706T052407
CREATED:20231027T085427Z
LAST-MODIFIED:20231031T072733Z
UID:167-1699020000-1699023600@applied-mathematics.wp.st-andrews.ac.uk
SUMMARY:Prof Moira Jardine\, St Andrews
DESCRIPTION:Affiliation: University of St Andrews \nAcademic Webpage: \nTitle “The space weather of other stars“\nAbstract:\n“Our understanding of stellar activity and its impact on exoplanets has been transformed by the bringing together of two complementary types of studies. Detailed spectropolarimetric studies that map the surface magnetic fields of individual stars now number more than 100 stars. They have revealed surprising trends in fundamental parameters such as stellar mass and rotation rate. These studies have now been placed in a broader context however by large-scale studies of flaring and stellar rotational evolution. These observational advances can now be used both as inputs and as tests of sophisticated 3D MHD models of stellar coronae and winds. In this talk I will describe the results of recent studies of the “space weather” that is driven by stellar magnetic activity and its variation over stellar magnetic cycles. This can have a significant impact on the structure and evolution of a star’s corona and on the types of ejecta it might produce. Recent results from Parker Solar Probe on the “breathing” of the solar corona over the course of a cycle give us some ground truth with which to interpret these stellar observations. Finally I will touch on the observed trends in stellar magnetic helicity density (which can now be mapped across stellar surfaces) and speculate on its role in the relationship between stellar flares and mass ejections.“
URL:https://applied-mathematics.wp.st-andrews.ac.uk/event/prof-moira-jardine/
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/London:20231027T140000
DTEND;TZID=Europe/London:20231027T150000
DTSTAMP:20260706T052407
CREATED:20231002T090512Z
LAST-MODIFIED:20231012T130143Z
UID:50-1698415200-1698418800@applied-mathematics.wp.st-andrews.ac.uk
SUMMARY:Dr Richard Mann\, Leeds
DESCRIPTION:Affiliation: University of Leeds \nAcademic webpage \nTitle: Collective decision-making by rational agents\n\nAbstract:\nThe decisions made by others are a valuable source of social information about the world\, because they may have knowledge that we lack. This means that when one agent makes a given choice\, it can induce others to do so as well. In this talk I will describe a theory of rational agents who optimally utilise the social information provided by others\, and explore the dynamics this produces at the individual and group level. In particular\, I will show how the implicit beliefs such agents hold about the physical and social environment shape their response to each other\, and how changes to the environment that conflict with these beliefs can dramatically alter collective behaviour and impact the success of groups.
URL:https://applied-mathematics.wp.st-andrews.ac.uk/event/dr-richard-mann/
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/London:20231013T140000
DTEND;TZID=Europe/London:20231013T150000
DTSTAMP:20260706T052407
CREATED:20231002T085846Z
LAST-MODIFIED:20231012T130235Z
UID:46-1697205600-1697209200@applied-mathematics.wp.st-andrews.ac.uk
SUMMARY:Dr Jacob Page\, University of Edinburgh
DESCRIPTION:Academic Webpage \n\nTitle: “Tools from deep learning for the dynamical systems approach to turbulence” \n\nAbstract:\n\nIn the last few decades the application of ideas from dynamical systems theory has significantly improved our understanding of transitional and weakly-turbulent shear flows. The discovery of unstable periodic orbits (UPOs) embedded in turbulent attractors provides a unique insight into the underlying self-sustaining mechanisms\, while there is hope that periodic orbit theory may yield a quantitative understanding of the role of various physical processes in the flow statistics. However\, progress towards the latter goal has been incrementally slow due to both an inability to identify guesses for candidate UPOs and the poor performance of the Newton-Raphson methods used for convergence. Consequently\, we have only a limited understanding of basic but important questions\, such as how the periods of UPOs are distributed in a given flow configuration.\n\nIn this talk I will discuss how techniques from deep learning allow us to overcome many of these previous limitations. I will first describe the use of deep convolutional autoencoders to learn low-dimensional representations of turbulent “Kolmogorov flow”\, and present a method to interpret the latent representations akin to a Fourier analysis in physical space. The latent Fourier decompositions can be used to probe the nature of high dissipation bursting events in the flow as the Reynolds number is increased\, and can be exploited to find new high dissipation UPOs which are inaccessible to previous methods. I will then discuss the role of automatic differentiation (AD) in fluid mechanics more generally\, with a focus on a new UPO search strategy that is possible with a fully differentiable flow solver and modern optimisation techniques. These will first be applied to the classical problem of finding free-energy minimising point vortex equilibria in a rotating disc. The optimisation approach yields thousands of low energy (relative) equilibria\, and reveals the existence of previously unknown continuous families of double-ringed vortex crystals. I will then return to strongly turbulent Kolmogorov flow\, and show how an AD-based approach finds hundreds of UPOs where past search methods have been ineffective. I will also discuss data-driven methods for weighting the UPOs to estimate flow statistics in an approach inspired by periodic orbit theory.
URL:https://applied-mathematics.wp.st-andrews.ac.uk/event/prof-jacob-page/
LOCATION:MAT Theatre B
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/London:20230512T140000
DTEND;TZID=Europe/London:20230512T150000
DTSTAMP:20260706T052407
CREATED:20231002T091634Z
LAST-MODIFIED:20231003T002154Z
UID:60-1683900000-1683903600@applied-mathematics.wp.st-andrews.ac.uk
SUMMARY:Dr Jan Haskovec\, KAUST
DESCRIPTION:Affiliation: King Abdullah University of Science and Technology \nPersonal webpage: Dr Jan Haskovec \n  \nTitle: “Functional Differential Equations in Models of Collective Behavior” \n  \nAbstract: The talk will give an overview of recent results for models of collective behavior governed by functional differential equations. It will focus on models of interacting agents with applications in biology (flocking\, swarming)\, social sciences (opinion formation) and engineering (swarm robotics)\, where latency (delay) plays a significant role. We will explain that there are two main sources of delay – inter-agent communications and information processing –  and show that they have qualitatively different impacts on the group dynamics. We will give an ovierview of analytical methods for studying the asymptotic behavior of the models and their mean-field limits. Finally\, motivated by situations where finite speed of information propagation is significant\, we will introduce an interesting class of problems where the delay depens nontrivially and nonlinearly on the state of the system\, and discuss the available analytical results and open problems here.
URL:https://applied-mathematics.wp.st-andrews.ac.uk/event/old-event/
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/London:20230421T140000
DTEND;TZID=Europe/London:20230421T150000
DTSTAMP:20260706T052407
CREATED:20231002T094706Z
LAST-MODIFIED:20231003T002208Z
UID:71-1682085600-1682089200@applied-mathematics.wp.st-andrews.ac.uk
SUMMARY:Dr Joanne Mason\, Exeter
DESCRIPTION:Affiliation: university of Exeter \nPersonal webpage: Dr Joanne Mason \n  \nTitle: “Modelling the Large and Small Scales of Astrophysical Turbulence” \n  \nAbstract: Incompressible magnetohydrodynamics (MHD) describes the motion of an electrically conducting fluid in the presence of a magnetic field\, and provides a simplified framework for studying astrophysical flows.  Numerical simulations of MHD turbulence are of great value\, but the Reynolds numbers that are attainable are far below those relevant to nature. There is therefore much interest in building phenomenological models to understand the universal scaling properties of the small-scale fluctuations. \nIn this talk I will review how coupling phenomenological modelling with high-resolution numerical simulations can be very useful for gaining insight into the basic properties of turbulent flows. In particular\, as predicted theoretically and observed numerically\, we will discuss how the velocity and the magnetic field in MHD turbulence tend to align their directions within a small scale-dependent angle.  We will also discuss how the Kolmogorov self-similarity hypotheses for the universal structure of the inertial and dissipation intervals of hydrodynamic turbulence do not pass over easily into the MHD case\, and how this imposes stringent resolution requirements on numerical studies.
URL:https://applied-mathematics.wp.st-andrews.ac.uk/event/dr-joanne-mason/
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/London:20230414T140000
DTEND;TZID=Europe/London:20230414T150000
DTSTAMP:20260706T052407
CREATED:20231002T094754Z
LAST-MODIFIED:20231003T002220Z
UID:74-1681480800-1681484400@applied-mathematics.wp.st-andrews.ac.uk
SUMMARY:Dr Mauro Mobilia\, Leeds
DESCRIPTION:Affiliation: University of Leeds \nPersonal webpage: https://eps.leeds.ac.uk/maths/staff/4064/professor-mauro-mobilia. \nTitle: “Eco-Evolutionary Dynamics of Fluctuating Populations” \nAbstract: \nEnvironmental variability greatly influences how the size and composition of a population evolve. In microbial communities\, variations of the composition and size of the population\, i.e. their eco-evolutionary dynamics\, are key to understand the mechanisms of antimicrobial resistance\, and may lead to population bottlenecks\, where new colonies consisting of few individuals are prone to fluctuations. How the composition and size of these communities evolve is often interdependent\, and demographic fluctuations is generally coupled to environmental variability\, often resulting in feedback loops and cooperative behaviour. \nIn this talk\, I will focus on a class of simple and insightful models of populations of fluctuating size whose growth is limited by a binary carrying capacity that endlessly switches between values corresponding to abundant and scarce resources. In these models\, the population consists of two strains\, one slightly faster than the other\, that compete under various scenarios: In the basic model\, the competition is only for the same resources\, and I will then also consider the case where the slow strain produces public goods. Using analytical tools and computational means\, I will show how the population size distribution and the strains fixation probability are dramatically influenced by the coupling of demographic fluctuations and environmental variability. In addition to random binary switching\, the case of periodic switching and different forms of environmental noise of continuous range will be discussed. I will also outline how these ideas and techniques are being generalized to study the eco-evolutionary dynamics of cooperative antimicrobial resistance. \n  \nReferences: \nPhys. Rev. Lett.119\, 158301 (2017); J. Roy. Soc. Interface 15\, 20180343 (2018); Phys. Rev. Lett. 25\, 048105 (2020); J. Theor. Biol. 491\, 110135 (2020); J. Roy. Soc. Interface  18\, 20210613 (2021); https://doi.org/10.48550/arXiv.2212.09906 (to appear in Phys.~Rev.~Research)
URL:https://applied-mathematics.wp.st-andrews.ac.uk/event/dr-mauro-mobilia/
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/London:20230331T140000
DTEND;TZID=Europe/London:20230331T150000
DTSTAMP:20260706T052407
CREATED:20231002T095305Z
LAST-MODIFIED:20231003T002330Z
UID:76-1680271200-1680274800@applied-mathematics.wp.st-andrews.ac.uk
SUMMARY:Prof. Andrew Hillier\, Exeter
DESCRIPTION:Affiliation: University of Exeter \nAcademic webpage \nTitle: “Turbulent mixing and its role in wave damping in the solar atmosphere” \nAbstract: \n“Back and forth oscillations\, associated with the MHD kink wave\, are present in magnetic structures throughout the solar atmosphere. These waves potentially provide an important energy source to heat the solar corona and properties of the waves have been used to infer physical quantities\, e.g. magnetic field strength\, in the solar corona. There is a lot of interest in how these waves damp\, with fits based on models of linear wave physics to observed evolution of the wave amplitude used to extract damping times. However\, simulations show that kink waves with the large amplitudes often observed display a host of non-linear features\, most striking of which is the growth of the parasitic Kevlin-Helmholtz instability and the turbulence that develops as a consequence. This newfound complexity leads to great difficulty in developing simple reduced models to understand the wave evolution. In this talk I will present my recent developments whereby using well know Applied Mathematics concepts that have been used to study some hydrodynamic analogues of this system (i.e. the application of similarity solutions to the growth of mixing layers\, forced linear oscillators and at later times simple decaying turbulence models) we can build a simple model to understand how non-linear processes change the large-scale wave evolution. This model is then benchmarked against a simple (though still 3D MHD and with turbulence) simulation of an oscillating tube\, with a high degree of success. In this talk I will present the model\, show its predictions for wave evolution and the subsequent bounds on heating (and the consequences for understanding the 1MK corona).”
URL:https://applied-mathematics.wp.st-andrews.ac.uk/event/andrew-hillier/
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/London:20230324T140000
DTEND;TZID=Europe/London:20230324T150000
DTSTAMP:20260706T052407
CREATED:20231002T095337Z
LAST-MODIFIED:20231003T002423Z
UID:78-1679666400-1679670000@applied-mathematics.wp.st-andrews.ac.uk
SUMMARY:Prof Peter Read\, Oxford
DESCRIPTION:Affiliation: Oxford \nAcademic webpage \nTitle: “Observing and characterising geostrophic turbulence on Jupiter and Saturn” \nAbstract: \nThe atmospheres of Jupiter and Saturn present some of the most spectacular examples of fully developed geostrophic turbulence in the Solar System. The complex flows are well visualised by the clouds of ammonia ice at upper levels though\, until recently\, little was known for certain about their structure at deeper levels. Several important aspects of the vertical structure have now been revealed in new observations from the Cassini and Juno spacecraft. But the properties of turbulent flows in the horizontal are still mainly characterised from wind measurements obtained by tracking the motion of cloud features in spacecraft images. Properties such as the zonal mean flow and the exchange of kinetic energy between eddies and the zonal flows via Reynolds stress divergence have been determined from such measurements since the Voyager missions in the 1980s. But it is only recently that such measurements have been used to determine more complex diagnostics\, such as the spectrally resolved kinetic energy spectrum and scale to scale transfers of kinetic energy and enstrophy across the planet. This has quantified the mean transfer of kinetic energy in spectrally local and nonlocal upscale cascades at large spatial scales\, transitioning to a weaker downscale cascade at the smallest resolved scales. This indicates the existence of a scale corresponding to kinetic energy injection on Jupiter\, though this scale differs significantly between the polar regions and lower latitudes. In new work\, we are extending these calculations to explore the latitude dependence of such kinetic energy transfers on both Jupiter and Saturn using previously determined velocity measurements. Preliminary results from these analyses will be presented and we discuss their implications for our understanding of how these rich and complex atmospheric circulations are energised and sustained.
URL:https://applied-mathematics.wp.st-andrews.ac.uk/event/peter-read/
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/London:20230310T140000
DTEND;TZID=Europe/London:20230310T150000
DTSTAMP:20260706T052407
CREATED:20231002T095421Z
LAST-MODIFIED:20231003T002540Z
UID:80-1678456800-1678460400@applied-mathematics.wp.st-andrews.ac.uk
SUMMARY:Prof Desmond Higham\, Edinburgh
DESCRIPTION:Affiliation: University of Edinburgh \nPersonal webpage \nTitle: “Should We Be Perturbed About Deep Learning?” \nAbstract:\n“Many commentators are asking whether current AI solutions are sufficiently robust\, resilient\,\nand trustworthy; and how such issues should be quantified and addressed. In an extreme\ncase\, it has been shown that a traffic “Stop” sign on the roadside can be misinterpreted by a\ndriverless vehicle as a speed limit sign when minimal graffiti is added. The vulnerability of\nsystems to such adversarial interventions raises questions around security and ethics\, and\nthere has been a rapid escalation of heuristic attack and defence strategies. I believe that\nmathematicians and statisticians can contribute to this landscape. I will discuss several related issues.\nFirst: can we justify the extremely low accuracy floating point precision used in many modern\nAI computations? Second: what is an appropriate norm in which to measure the size of an adversarial\nattack on an input? Third: is there a trade-off between accuracy and stability in deep learning?\nFourth: how much worse can it be if the attacker has access to the network parameters?\nThe talk is based on joint work with Alexander Bastounis (Leicester)\, Lucas Beerens (Edinburgh)\,\nAlexander Gorban (Leicester)\, Anders Hansen (Cambridge)\, Ivan Tyukin (Kings) and Eliyas Woldegeorgis (Leicester).”
URL:https://applied-mathematics.wp.st-andrews.ac.uk/event/desmond-higham/
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/London:20230224T140000
DTEND;TZID=Europe/London:20230224T150000
DTSTAMP:20260706T052407
CREATED:20231002T095504Z
LAST-MODIFIED:20231003T002555Z
UID:82-1677247200-1677250800@applied-mathematics.wp.st-andrews.ac.uk
SUMMARY:Dr Daphné Lemasquerier\, St Andrews
DESCRIPTION:Affiliation: University of St Andrews \nAcademic webpage \nTitle: “Fluid dynamics modelling for the outer solar system: gas giants’ zonal winds and icy moons oceans” \nAbstract: \nIn the first part of the seminar\, I will focus on the complex\, multiscale dynamics that takes place in gas giant’s atmospheres and below\, in their liquid hydrogen. Jupiter’s atmosphere exhibits strong large-scale east-west winds called zonal jets\, which self-organize from the underlying intense turbulent flow. I will present idealized laboratory experiments\, numerical models and theoretical analyses to model the physical processes responsible for the emergence of zonal jets and their non-linear saturation. \nIn a second part\, I will leave Jupiter and focus on the fluid dynamics involved in the subsurface oceans of its icy moons\, with a particular focus on Europa. Europa’s ocean is a key layer\, responsible for coupling the deep interior to the observed ice crust\, via material and heat exchanges. Using direct numerical simulations in rotating spherical shells\, I investigate how the tidal heating within the silicate mantle can affect the rotating thermal convection in Europa’s ocean. Ultimately\, the goal is to provide testable scenarios for the upcoming NASA’s Europa Clipper mission\, expected to arrive at Jupiter in 2030.
URL:https://applied-mathematics.wp.st-andrews.ac.uk/event/daphne-lemasquerier/
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/London:20221125T140500
DTEND;TZID=Europe/London:20221125T150000
DTSTAMP:20260706T052407
CREATED:20241006T222647Z
LAST-MODIFIED:20241006T225349Z
UID:307-1669385100-1669388400@applied-mathematics.wp.st-andrews.ac.uk
SUMMARY:Dr. Alberto D'Onofrio - International Prevention Research Institute
DESCRIPTION:Title: Mathematical Epidemiology of infectious diseases \nAbstract: The study of epidemics\, pandemics and also of “endemics” must include a large number of multi-scale factors\, as recently evidenced in biomathematical literature [1\, 2]. Well before the current pandemics\, namely in the late year 1990 and early 2000 when the first ‘outbreaks’ of vaccine scare appeared [6]\, scientific community slowly understood that Mathematical Models of spread of Infectious Diseases (IDs) must include human behaviour [4]: a (if not ‘the’) major factor impacting on the spread\, prevention and control of IDs.\nThis caused the birth of the Behavioral Epidemiology of Infectious Diseases [5] (BEID)\, which also overlaps and interacts with the related field of Statistical Physics of Vaccination [6] (SPV). In this talk\, after a panorama of public health motivations that led to the birth of BEID and SPV\, we will illustrate some simple qualitative but informative models of BEID with particular focus on the concept of Information Index “M”\, which is usually nonlocal in time [7\, 8] and in space [8]\, and on possible (non-optimal and optimal) control actions aimed at mitigating the IDs [9]. \nReferences\n[1] Nicola Bellomo\, Richard Bingham\, Mark AJ Chaplain\, Giovanni Dosi\, Guido Forni\, Damian A. Knopoff\, John Lowengrub\, Reidun Twarock\, and Maria Enrica Virgillito. (2020) A multiscale model of virus pandemic: Heterogeneous interactive entities in a globally connected world. Mathematical Models and Methods in Applied Sciences 30(8)\, 1591–1651.\n[2] Nicola Bellomo and Mark AJ Chaplain (eds). (2022) Predicting Pandemics in a Globally Connected World. Birkhauser\n[3] Zhen Wang\, Chris T. Bauch\, Samit Bhattacharyya\, Alberto d’Onofrio\, Piero Manfredi\, Matjaž Perc\, Nicola Perra\, Marcel Salathé\, and Dawei Zhao. (2016) Statistical physics of vaccination. Physics Reports\, 664\, 1–113.\n[4] Alberto d’Onofrio\, Piero Manfredi\, and Ernesto Salinelli. (2007). Vaccinating behaviour\, information\, and the dynamics of SIR vaccine preventable diseases. Theoretical population biology\, 71(3)\, 301–317.\n[5] Piero Manfredi and Alberto d’Onofrio (eds). (2013) Modeling the interplay between human behavior and the spread of infectious diseases. Springer.\n[6] ZhenWang\, Chris T. Bauch\, Samit Bhattacharyya\, Alberto d’Onofrio\, Piero Manfredi\, Matjaž Perc\, Nicola Perra\, Marcel Salathé\, and Dawei Zhao. . (2016) Statistical physics of vaccination. Physics Reports\, 664\, 1–113.\n[7] Magdalena Ochab\, Piero Manfredi\, Krzstof Puszynski\, Alberto d’Onofrio. (2022) Multiple epidemic waves as the outcome of stochastic SIR epidemics with behavioral responses: a hybrid modeling approach. Nonlinear Dynamics.\n[8] Antonella Lupica\, Piero Manfredi\, Vitaly Volpert\, Annunziata Palumbo and Alberto d’Onofrio. (2019) Spatio-temporal games of voluntary vaccination in the absence of the infection: the interplay of local versus non-local information about vaccine adverse events. Mathematical Biosciences and Engineering\, 17(2)\, 1090–1131.\n[9] Rossella Della Marca and Alberto d’Onofrio. (2021) Volatile opinions and optimal control of vaccine awareness campaigns: Chaotic behaviour of the forward-backward sweep algorithm vs. heuristic direct optimization. Communications in Nonlinear Science and Numerical Simulation\, 98\, Art. n. 105768.
URL:https://applied-mathematics.wp.st-andrews.ac.uk/event/alberto-donofrio-international-prevention-research-institute/
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/London:20221118T140500
DTEND;TZID=Europe/London:20221118T150000
DTSTAMP:20260706T052407
CREATED:20241006T222647Z
LAST-MODIFIED:20241006T225046Z
UID:306-1668780300-1668783600@applied-mathematics.wp.st-andrews.ac.uk
SUMMARY:Prof. Christian Beck - Queen Mary University of London
DESCRIPTION:Title: Superstatistical methods for complex systems \nAbstract: The superstatistics concept\, introduced some 20 years ago\, is a useful general method borrowed from statistical physics to describe driven nonequilibrium systems in spatio-temporally inhomogeneous environments that exhibit fluctuations of one or several intensive parameters. The method can be quite generally applied to heterogeneous complex systems if there is time scale separation of the underlying dynamics. After a brief introduction to the basic ideas\, I will concentrate onto three examples of useful recent applications\, namely acceleration statistics of tracer particles in turbulent flows\, the statistics of frequency fluctuations in power grid networks\, and the understanding of non-Gaussian fluctuations in environmental time series.
URL:https://applied-mathematics.wp.st-andrews.ac.uk/event/christian-beck-queen-mary-university-of-london/
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/London:20221111T140500
DTEND;TZID=Europe/London:20221111T150000
DTSTAMP:20260706T052407
CREATED:20241006T222646Z
LAST-MODIFIED:20241006T224945Z
UID:305-1668175500-1668178800@applied-mathematics.wp.st-andrews.ac.uk
SUMMARY:Prof. Anthony Yeates - Durham University
DESCRIPTION:Title: Meaningful definitions of magnetic helicity in open domains\nJoint work with Chris Prior and Daining Xiao (Durham University) \nAbstract:\nIt is well known that the magnetic helicity integral of magnetohydrodynamics is non-unique if the magnetic field passes through the domain boundary. Rather\, it depends on the choice of vector potential\, even in a topologically simple domain. The same is true of the (related) field line helicity. In some sense\, any choice of (field line) helicity is equally meaningful\, because all are invariant under ideal deformations that vanish on the boundary. However\, our proposition is that some choices are more physically meaningful than others\, if one wishes to measure topological complexity of the magnetic field. Candidate vector potentials include the so-called “winding gauge” or the “poloidal-toroidal gauge”. I will outline our ideas about what might be the most natural choice of vector potential\, both in Cartesian domains and in spherical shell domains. The latter are relevant to magnetic fields in the Sun’s atmosphere
URL:https://applied-mathematics.wp.st-andrews.ac.uk/event/anthony-yeates-durham-university/
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/London:20221028T140500
DTEND;TZID=Europe/London:20221028T150000
DTSTAMP:20260706T052407
CREATED:20241006T222646Z
LAST-MODIFIED:20241006T224839Z
UID:304-1666965900-1666969200@applied-mathematics.wp.st-andrews.ac.uk
SUMMARY:Prof. Alain Goriely - University of Oxford
DESCRIPTION:Title: Multiscale modeling of dementia: from proteins to cognitive functions \nAbstract: Neurodegenerative diseases such as Alzheimer’s or Parkinson’s are devastating conditions with poorly understood mechanisms and no known cure. Yet a striking feature of these conditions is the characteristic pattern of invasion throughout the brain\, leading to well-codified disease stages visible to neuropathology and associated with various cognitive deficits and pathologies. This evolution is associated with the aggregation of key toxic proteins. In this talk\, I will show how we use multiscale modelling to gain insight into this process and\, doing so\, gain some understanding on how the brain works. In particular\, by looking at protein dynamics on the neuronal network\, we can unravel some of the universal features associated with dementia that are driven by both the network topology and protein kinetics. By further coupling this approach with functional models of the brain\, we will show that we can explain important aspects of cognitive loss during disease development.
URL:https://applied-mathematics.wp.st-andrews.ac.uk/event/alain-goriely-university-of-oxford/
END:VEVENT
END:VCALENDAR