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SUMMARY:Continuum mathematical models for cell migration incorporating cel
l cycle dynamics
DTSTART;VALUE=DATE-TIME:20180711T060000Z
DTEND;VALUE=DATE-TIME:20180711T062000Z
DTSTAMP;VALUE=DATE-TIME:20241111T083120Z
UID:indico-contribution-302@conferences.maths.unsw.edu.au
DESCRIPTION:Speakers: Sean Vittadello (Queensland University of Technology
)\nFluorescent ubiquitination-based cell cycle indicator\, also known as F
UCCI\, allows the visualisation of the G1 and S/G2/M cell cycle phases of
individual cells. FUCCI consists of two fluorescent probes\, so that cells
in the G1 phase fluoresce red and cells in the S/G2/M phase fluoresce gre
en. FUCCI reveals real-time information about cell cycle dynamics of indiv
idual cells\, and can be used to explore how the cell cycle relates to the
location of individual cells\, local cell density\, and different cellula
r microenvironments. In particular\, FUCCI is used in experimental studie
s examining cell migration\, such as malignant invasion and wound healing.
Here we present new mathematical models which can describe cell migration
and cell cycle dynamics as indicated by FUCCI. The *fundamental* model de
scribes the two cell cycle phases\, G1 and S/G2/M\, which FUCCI directly l
abels. The *extended* model includes a third phase\, early S\, which FUCCI
indirectly labels. We present experimental data from scratch assays using
FUCCI-transduced melanoma cells\, and show that the predictions of spatia
l and temporal patterns of cell density in the experiments can be describe
d by the fundamental model. We obtain numerical solutions of both the fund
amental and extended models\, which can take the form of travelling waves.
These solutions are mathematically interesting because they are a combina
tion of moving wavefronts and moving pulses. We derive and confirm a simpl
e analytical expression for the minimum wave speed\, as well as exploring
how the wave speed depends on the spatial decay rate of the initial condit
ion.\n\nhttps://conferences.maths.unsw.edu.au/event/2/contributions/302/
LOCATION:University of Sydney New Law School/--020
URL:https://conferences.maths.unsw.edu.au/event/2/contributions/302/
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