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Fiona Macfarlane -- Bridging the gap between individual-based and continuum models of growing cell populations

Turing pattern
Dates:3 November 2021
Times:13:00 - 14:00
What is it:Seminar
Organiser:Department of Mathematics
Who is it for:University staff, External researchers, Current University students
Speaker:Fiona Macfarlane
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  • Mathematics in the life sciences
  • Department of Mathematics

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  • In category "Seminar"
  • In group "(Maths) Mathematics in the life sciences "
  • In group "(Maths) Maths seminar series"
  • By Department of Mathematics

(via Zoom) Join us for this seminar by Fiona Macfarlane (St Andrews) as part of the North West Seminar Series in Mathematical Biology and Data Sciences. Details of the full series can be found here https://www.cms.livjm.ac.uk/APMSeminar/

Please contact carl.whitfield@manchester.ac.uk or bnvasiev@liverpool.ac.uk for the zoom link, or sign up to the mailing list.

Abstract: Stochastic individual-based modelling approaches allow for the description of single cells in a biological system. These models generally include rules that each cell follows independently of other cells in the population. Various mechanisms and biological phenomena can be described using these simplistic mathematical models. We have developed a range of simple IB models that describe biological systems in the context of pattern formation. From these models we have derived the continuum limits from the underlying random walk, providing a deterministic PDE description of these processes. Ultimately, the results illustrate how the simple rules governing the dynamics of single cells in an individual-based model can lead to the emergence of complex spatial patterns of population growth observed in continuum models.

To subscribe to the mailing list for this event series, please send an e-mail with the phrase “subscribe math-lifesci-seminar” in the message body to listserv@listserv.manchester.ac.uk

Speaker

Fiona Macfarlane

Role: Post-Doctoral Researcher

Organisation: University of St Andrews

  • http://www.mcs.st-andrews.ac.uk/~frm3/

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Carl Whitfield

carl.whitfield@manchester.ac.uk

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