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SUMMARY:On modelling biological network formation
DTSTART;VALUE=DATE-TIME:20180711T010000Z
DTEND;VALUE=DATE-TIME:20180711T013000Z
DTSTAMP;VALUE=DATE-TIME:20241102T174128Z
UID:indico-contribution-126@conferences.maths.unsw.edu.au
DESCRIPTION:Speakers: Helene Ranetbauer (University of Vienna)\nIn this ta
lk we present a mesoscopic model for natural network formation processes\,
acting as a bridge between a discrete and continuous network approach pro
posed by Hu and Cai. All models describe the pressure field and the dynami
cs of the conductance network under pressure force effects.\n\nWe start by
presenting the different approaches and analyze their corresponding prope
rties. We will focus on special stationary solutions of the mesoscopic mod
el including discrete network solutions. \n\nThis involves a proper reinte
rpretation of the system in terms of measure valued solutions. To overcome
the arising difficulties\, we will also introduce an alternative formulat
ion replacing the nonlinear Poisson equation for the pressure field in the
original approach by a linear side constraint.\n\nhttps://conferences.mat
hs.unsw.edu.au/event/2/contributions/126/
LOCATION:University of Sydney New Law School/--100
URL:https://conferences.maths.unsw.edu.au/event/2/contributions/126/
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