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SUMMARY:Do the shapes of tumour cell nuclei influence their infiltration? 
 - Professor Kharthik Bharath (School of Mathematics\, University of Nottin
 gham)
DTSTART;VALUE=DATE-TIME:20250502T110000
DTEND;VALUE=DATE-TIME:20250502T120000
UID:https://talks.ox.ac.uk/talks/id/b1a0546c-e194-4bd2-8e20-bd07eb30c9f3/
DESCRIPTION:The question can be formulated as a statistical hypothesis ass
 erting that the distribution of the shapes of closed curves representing o
 utlines of cell nuclei in a spatial domain is independent of the distribut
 ion of their locations. The key challenge in developing a procedure to tes
 t the hypothesis from a sample of spatially indexed curves (e.g. from an i
 mage) lies in how symmetries in the data are accounted for: shape of a cur
 ve is a property that is invariant to similarity transformations and repar
 ameterization\, and the shape space is thus an infinite-dimensional quotie
 nt space. Starting with a convenient geometry for the shape space develope
 d over the last few years\, I will discuss dependence measures and their e
 stimates for spatial point processes with shape-valued marks\, and demonst
 rate their use in testing for spatial independence of marks in a breast ca
 ncer application.  \nSpeakers:\nProfessor Kharthik Bharath (School of Math
 ematics\, University of Nottingham)
LOCATION:Mathematical Institute (L4)\, Woodstock Road OX2 6GG
TZID:Europe/London
URL:https://talks.ox.ac.uk/talks/id/b1a0546c-e194-4bd2-8e20-bd07eb30c9f3/
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DESCRIPTION:Talk:Do the shapes of tumour cell nuclei influence their infil
 tration? - Professor Kharthik Bharath (School of Mathematics\, University 
 of Nottingham)
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