Fiona Macfarlane -- Bridging the gap between individual-based and continuum models of growing cell populations
| Dates: | 3 November 2021 |
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| Times: | 13:00 - 14:00 |
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| What is it: | Seminar |
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| Organiser: | Department of Mathematics |
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| Who is it for: | University staff, External researchers, Current University students |
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| Speaker: | Fiona Macfarlane |
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(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.
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Speaker
Fiona Macfarlane
Role: Post-Doctoral Researcher
Organisation: University of St Andrews
Travel and Contact Information
