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Some Mathematical Properties of Morphoelasticity

Conference Paper (2021)
Author(s)

Ginger Egberts (TU Delft - Electrical Engineering, Mathematics and Computer Science)

Daan Smits (Student TU Delft)

Fred Vermolen (TU Delft - Electrical Engineering, Mathematics and Computer Science)

Paul van Zuijlen (Red Cross Hospital, VU University Medical Centre)

Research Group
Numerical Analysis
DOI related publication
https://doi.org/10.1007/978-3-030-55874-1_111 Final published version
More Info
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Publication Year
2021
Language
English
Related content
Research Group
Numerical Analysis
Pages (from-to)
1119-1127
Publisher
Springer
ISBN (print)
978-3-030-55873-4
ISBN (electronic)
978-3-030-55874-1
Event
European Numerical Mathematics and Advanced Applications Conference 2019 (2019-09-30 - 2019-10-04), Hotel Zuiderduin , Egmond aan Zee, Netherlands
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Abstract

We consider a morphoelastic framework that models permanent deformations. The text treats a stability assessment in one dimension and a preservation of symmetry in multiple dimensions. Next, we treat the influence of uncertainty in some of the field variables onto the predicted behaviour of tissue.