Some Mathematical Properties of Morphoelasticity

Ginger Egberts; Daan Smits; Fred Vermolen; Paul van Zuijlen

doi:10.1007/978-3-030-55874-1_111

Some Mathematical Properties of Morphoelasticity

Ginger Egberts, Daan Smits, Fred Vermolen, Paul van Zuijlen

Numerical Analysis

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

2 Citations (Scopus)

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.

Original language	English
Title of host publication	Numerical Mathematics and Advanced Applications, ENUMATH 2019 - European Conference
Editors	Fred J. Vermolen, Cornelis Vuik
Place of Publication	Cham
Publisher	Springer
Pages	1119-1127
Number of pages	9
ISBN (Electronic)	978-3-030-55874-1
ISBN (Print)	978-3-030-55873-4
DOIs	https://doi.org/10.1007/978-3-030-55874-1_111
Publication status	Published - 2021
Event	European Numerical Mathematics and Advanced Applications Conference 2019 - Hotel Zuiderduin , Egmond aan Zee, Netherlands Duration: 30 Sept 2019 → 4 Oct 2019 https://www.enumath2019.eu/

Publication series

Name	Lecture Notes in Computational Science and Engineering
Volume	139
ISSN (Print)	1439-7358
ISSN (Electronic)	2197-7100

Conference

Conference	European Numerical Mathematics and Advanced Applications Conference 2019
Abbreviated title	ENUMATH 2019
Country/Territory	Netherlands
City	Egmond aan Zee
Period	30/09/19 → 4/10/19
Internet address	https://www.enumath2019.eu/

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10.1007/978-3-030-55874-1_111

Cite this

Egberts, G., Smits, D., Vermolen, F., & van Zuijlen, P. (2021). Some Mathematical Properties of Morphoelasticity. In F. J. Vermolen, & C. Vuik (Eds.), Numerical Mathematics and Advanced Applications, ENUMATH 2019 - European Conference (pp. 1119-1127). (Lecture Notes in Computational Science and Engineering; Vol. 139). Springer. https://doi.org/10.1007/978-3-030-55874-1_111

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title = "Some Mathematical Properties of Morphoelasticity",

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.",

author = "Ginger Egberts and Daan Smits and Fred Vermolen and {van Zuijlen}, Paul",

year = "2021",

doi = "10.1007/978-3-030-55874-1_111",

language = "English",

isbn = "978-3-030-55873-4",

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publisher = "Springer",

pages = "1119--1127",

editor = "Vermolen, {Fred J.} and Cornelis Vuik",

booktitle = "Numerical Mathematics and Advanced Applications, ENUMATH 2019 - European Conference",

note = "European Numerical Mathematics and Advanced Applications Conference 2019, ENUMATH 2019 ; Conference date: 30-09-2019 Through 04-10-2019",

url = "https://www.enumath2019.eu/",

}

Egberts, G, Smits, D, Vermolen, F & van Zuijlen, P 2021, Some Mathematical Properties of Morphoelasticity. in FJ Vermolen & C Vuik (eds), Numerical Mathematics and Advanced Applications, ENUMATH 2019 - European Conference. Lecture Notes in Computational Science and Engineering, vol. 139, Springer, Cham, pp. 1119-1127, European Numerical Mathematics and Advanced Applications Conference 2019, Egmond aan Zee, Netherlands, 30/09/19. https://doi.org/10.1007/978-3-030-55874-1_111

Some Mathematical Properties of Morphoelasticity. / Egberts, Ginger; Smits, Daan; Vermolen, Fred et al.
Numerical Mathematics and Advanced Applications, ENUMATH 2019 - European Conference. ed. / Fred J. Vermolen; Cornelis Vuik. Cham: Springer, 2021. p. 1119-1127 (Lecture Notes in Computational Science and Engineering; Vol. 139).

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

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AB - 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.

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BT - Numerical Mathematics and Advanced Applications, ENUMATH 2019 - European Conference

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Some Mathematical Properties of Morphoelasticity

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In silico exploration of post-burn contraction using uncertainty quantification

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