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DTSTART;TZID=Europe/Paris:20180410T130000
DTEND;TZID=Europe/Paris:20180410T140000
DTSTAMP:20260408T141328
CREATED:20180220T121903Z
LAST-MODIFIED:20180307T101156Z
UID:374-1523365200-1523368800@www.naxys.be
SUMMARY:Julien Petit (Ecole Royale Militaire - UNamur)
DESCRIPTION:Title : Peculiarities of reaction and diffusion on temporal networks \nAbstract: A common assumption in the ever-increasing literature on network-defined dynamical systems is to view the underlying graph as a static entity. In many cases however\, the temporal properties of the network – its fluctuating links and appearing and vanishing nodes –  prove critical. \nThis presentation is firstly meant as an overview of linear (diffusion) processes on temporal networks. After a survey of recent methods and results\, we subsequently focus on a random walk model with lasting node-to-node interactions. Relying on analytics and numerics\, we discuss how the Markov property of the process is lost even when using memoryless probability distributions for the model-driven edges dynamics\, and the independent nodes processes. \nIf time permits and in an attempt to highlight other results about systems evolving on top of temporal networks\, and which stem from the intrinsic network dynamics\, we finally consider a generic nonlinear model. In particular\, this setting allows us to discuss pattern formation and oscillations death in reaction-diffusion systems through the Turing mechanism\, under the assumption of a fast-varying periodic topology.
URL:https://www.naxys.be/event/julien-petit-ecole-royale-militaire-unamur/
LOCATION:E22
CATEGORIES:NAXYS Seminar
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DTSTART;TZID=Europe/Paris:20180419T130000
DTEND;TZID=Europe/Paris:20180419T140000
DTSTAMP:20260408T141328
CREATED:20180131T212238Z
LAST-MODIFIED:20180325T201842Z
UID:318-1524142800-1524146400@www.naxys.be
SUMMARY:Aivar Sootla (University of Oxford)
DESCRIPTION:Title: Applications of Monotone Systems Theory to Synthetic Biology \nAbstract: In this talk\, we will discuss some mathematical problems arising in the fast developing field of synthetic biology. Synthetic biology is concerned with creating genetically modified bacteria for the production of useful chemical compounds (e.g.\, drugs\, bio-degradable plastic\, fuels etc)\, for detecting viruses\, toxins or prohibited substances (e.g. in a biological sample\, water supply)\, and even for new methods of drug delivery. Due to complexity and variability of bacterial systems modelling presents a serious challenge. Furthermore\, quantitative data analysis is impeded by technological and physical constraints\, therefore scientists often rely on qualitative analysis of their designs. From the modelling perspective\, qualitative analysis is not always straightforward unless models have specific properties. We will argue that a class of models called monotone can offer effective tools for qualitative analysis of biological processes. Monotone systems often appear in biological modelling and possess a powerful property: a partial order in their trajectories. Partial order enables a number of stability results\, which are crucial for simplified analysis and control of nonlinear systems. Equipped with the Koopman operator framework\, we present methods for analysis and control of monotone systems\, which are computationally efficient and can provide answers for a range of parameters.
URL:https://www.naxys.be/event/aivar-sootla-university-of-oxford/
LOCATION:E25
CATEGORIES:NAXYS Seminar
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