Skip to main content
SpringerLink
Log in
Book cover

Numerical Mathematics and Advanced Applications ENUMATH 2019 pp 1119–1127Cite as

Some Mathematical Properties of Morphoelasticity

  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 139))

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.

This is a preview of subscription content, log in via an institution.

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   299.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   379.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   379.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

References

  1. Hall, C.L.: Modelling of some biological materials using continuum mechanics. PhD-thesis at the Queensland University of Technology (2008)

    Google Scholar 

  2. Rodriguez E., Hoger A., McCulloch A.: Stress-dependent finite growth in soft elastic tissues. J Biomech 27, 455–467 (1994)

    Article  Google Scholar 

  3. Prokharau, P., Vermolen, F.J.: Stability analysis for a peri-implant osseointegration model. J. Math. Biol, 66, 351–382 (2013)

    Article  MathSciNet  Google Scholar 

  4. Koppenol, D.C., Vermolen, F.J.: Biomedical implications from a morphoelastic continuum model for the simulation of contracture formation in skin-grafts that cover excised burns. Biomech Model Mechanobiol, 16 (4), 1187–1206 (2017)

    Article  Google Scholar 

Download references

Acknowledgements

The authors are grateful for the financial support by the Dutch Burns Foundation under Project 17.105. Furthermore, the suggestions from the referee to improve the presentation of the manuscript are also warmly acknowledged.

Author information

Authors and Affiliations

  1. Delft Institute of Applied Mathematics, Delft University of Technology, Delft, The Netherlands

    Ginger Egberts, Daan Smits & Fred Vermolen

  2. Department of Plastic, Reconstructive and Hand Surgery, MOVE Research Institute, VU University Medical Centre, Amsterdam, The Netherlands

    Paul van Zuijlen

  3. Burn Centre, Red Cross Hospital, Beverwijk, The Netherlands

    Paul van Zuijlen

  4. Department of Plastic, Reconstructive and Hand Surgery, Red Cross Hospital, Beverwijk, The Netherlands

    Paul van Zuijlen

Authors
  1. Ginger Egberts
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Daan Smits
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Fred Vermolen
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Paul van Zuijlen
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Fred Vermolen .

Editor information

Editors and Affiliations

  1. DIAM, Delft University of Technology, Delft, The Netherlands

    Fred J. Vermolen

  2. DIAM, Delft University of Technology, Delft, The Netherlands

    Cornelis Vuik

Rights and permissions

Reprints and permissions

Copyright information

© 2021 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Egberts, G., Smits, D., Vermolen, F., Zuijlen, P.v. (2021). Some Mathematical Properties of Morphoelasticity. In: Vermolen, F.J., Vuik, C. (eds) Numerical Mathematics and Advanced Applications ENUMATH 2019. Lecture Notes in Computational Science and Engineering, vol 139. Springer, Cham. https://doi.org/10.1007/978-3-030-55874-1_111

Download citation

Publish with us

Policies and ethics

Search

Navigation