CoBiMa

ZIH-Kolloquium-"Attraction and Repulsion in Biological Tissues: Challenges for Mathematical Models, Analysis, and Numerics."

date
25.10.2018 
time
03:00 PM - 04:00 PM 
part of series
TUD ZIH Colloquium 
language
en 
main topic
Computer Science: general
subtopics
Biology: general
Mathematics: general
abstract

"Attraction and Repulsion in Biological Tissues: Challenges for Mathematical Models, Analysis, and Numerics"

Cell attraction and repulsion are essential processes in biological tissues. Cellular adhesion, in particular, plays a key role during embryonic development and in the invasion of healthy tissues by tumour cells. In this talk, after an introduction to the biological motivation, I present a non-local partial differential equation model of attraction and repulsion which goes back to work by Armstrong, Painter, and Sherratt (2006). This is followed by a recent derivation of this model from an individual-based model, an overview of analytical results, and an identification of numerical challenges with respect to the treatment of nonlocal terms and their resolution. Finally, I will give a glance on current work regarding adhesion on growing domains.

Alf Gerisch is a researcher in the Numerical Analysis and Scientific Computing group at Technische Universität Darmstadt. He received his Master's degree in Mathematics from the University of Dundee (Scotland, UK) and his doctoral degree (Dr. rer. nat.) from Martin-Luther-Universität Halle-Wittenberg. His research is focussed on providing numerical and computational tools for problems from mathematical biology. This includes multiscale models and homogenization techniques for elastic properties of hard tissues and accurate and efficient schemes for the time-dependent simulation of different processes in soft tissues.

 

Last update: 22.10.2018 00:05.

venue 

TUD Willers-Bau (A317) 
Zellescher Weg 12-14
01069 Dresden
homepage
https://navigator.tu-dresden.de/etplan/wil/00 

organizer 

Center for Information Services and High Performance Computing (TUD ZIH)
Zellescher Weg 12-14
01069 Dresden
telefon
+49 351 463-35450 
fax
+49 351 463-37773 
e-mail
Center for Information Services and High Performance Computing (TUD ZIH) 
homepage
http://tu-dresden.de/zih 
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