Biomechanics and Modeling in Mechanobiology

, Volume 16, Issue 4, pp 1141–1157 | Cite as

Modeling tumor growth with peridynamics

  • Emma Lejeune
  • Christian LinderEmail author
Original Paper


Computational models of tumors have the potential to connect observations made on the cellular and the tissue scales. With cellular scale models, each cell can be treated as a discrete entity, while tissue scale models typically represent tumors as a continuum. Though the discrete approach often enables a more mechanistic and biologically driven description of cellular behavior, it is often computationally intractable on the tissue scale. Here, we adapt peridynamics, a theoretical and computational approach designed to unify the mechanics of discrete and continuous media, for the growth of biological materials. The result is a computational model for tumor growth that can represent either individual cells or the tissue as a whole. We take advantage of the flexibility provided by the peridynamic framework to implement a cell division mechanism, motivated by the fact that cell division is the mechanism driving tumor growth. This paper provides a general framework for implementing a new tumor growth modeling technique.


Peridynamics Tumor growth Morphogenesis Cell division 

Mathematics Subject Classification

92C10 74L15 


Compliance with ethical standards


This work was supported by the National Science Foundation Graduate Research Fellowship under Grant No. DGE-114747.

Conflict of interest

The authors declare that they have no conflict of interest.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  1. 1.Department of Civil and Environmental EngineeringStanford UniversityStanfordUSA

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