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Peter Stewart -- Elastic jumps on networks - towards a mathematical framework for predicting retinal haemorrhage

Patterned pufferfish scales demonstrating a Turing pattern in the natural world
Dates:26 April 2021
Times:14:00 - 15:00
What is it:Seminar
Organiser:Department of Mathematics
Who is it for:University staff, External researchers, Current University students
Speaker:Peter Stewart
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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 Peter Stewart (Glasgow) 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 igor.chernyavsky@manchester.ac.uk for the zoom link, or sign up to the mailing list.

Abstract: The optic nerve is a collection of nerve fibres which connect the photoreceptors in the retina to the brain. This nerve is surrounded by a sheath, which contains a thin layer of cerebrospinal fluid (CSF) at the intracranial pressure. The central retinal artery and vein, which supply the retinal circulation, pass through the centre of the optic nerve as they enter the eye, but about half way back from the globe they deviate and pass through the nerve sheath into the surrounding fatty tissue. Hence, these blood vessels form an interesting point of coupling between the eye and the brain. In this talk I will show how modelling of the flow of CSF along the nerve sheath and the flow of blood in the central retinal artery and vein can provide a route to abrupt pressure changes in the retinal circulation. In particular, I will demonstrate how a large increase in CSF pressure is transmitted into the retinal artery and vein, leading to a spreading shock wave through the retinal circulation and the possible rupture of retinal blood vessels (ie retinal haemorrhages).

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

Peter Stewart

Role: Senior Lecturer

Organisation: University of Glasgow

  • http://www.maths.gla.ac.uk/~pstewart/

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Carl Whitfield

carl.whitfield@manchester.ac.uk

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