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Rachel Bennett -- Coordinating on a surface [ONLINE]

Patterned pufferfish scales demonstrating a Turing pattern in the natural world
Dates:8 March 2023
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:Rachel Bennett
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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

Join us for this seminar by Rachel Bennett (Bristol) 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/

The talk will be hosted by the University of Liverpool and streamed via zoom or teams, please contact carl.whitfield@manchester.ac.uk or bnvasiev@liverpool.ac.uk for the link, or sign up to the mailing list.

Abstract: This talk will be split into two parts. On surfaces with many cilia, individual cilia coordinate their beat cycles in the form of metachronal waves. The coordinated beating facilitates self-propulsion of ciliated microorganisms and creates efficient fluid flow, which is important in several human organs. Here, we consider the connection between single cilium characteristics and the collective behaviour. A theoretical framework is presented using an array of model cilia coordinated by hydrodynamic interactions. We calculate the dispersion relation for metachronal waves and perform a linear stability analysis to identify stable waves. This framework shows how the wave vector, frequency and stability depend on the geometric properties of cilia in the array and the beat pattern of an individual cilium. These results show how information about individual cilia can be used to predict the collective behaviour of many cilia. When Pseudomonas aeruginosa colonises a surface, different colonisation dynamics are observed depending on the attachment mechanism. We investigate two different strategies of two different species. In one strategy, the attachment mechanism of a bacterium helps its neighbours, and in the other strategy the attachment mechanism of an individual helps its progeny. Surprisingly, we find that temporary attachments followed by detachment plays a role in faster colonisation at later times. We study how detachment and division rates affect the overall colonisation dynamics.

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

Rachel Bennett

Role: Research Fellow

Organisation: University of Bristol

  • https://www.bristol.ac.uk/people/person/Rachel-Bennett-412001cb-250f-4dd6-beef-54664550b09c/

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Carl Whitfield

carl.whitfield@manchester.ac.uk

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