Simulation of angiogenesis in a multiphase tumor growth model

R. Santagiuliana, M. Ferrari, B. A. Schrefler

Research output: Contribution to journalArticlepeer-review

16 Scopus citations


The avascular multiphase model for tumor growth, developed by the authors in previous works, is enhanced to include angiogenesis. The original model comprises the extracellular matrix (ECM) as porous solid phase and three fluid phases: living and necrotic tumor cells (TCs), host cells (HCs), and the interstitial fluid. In this paper we add transport of tumor angiogenic factor (TAF) and of endothelial cells. The density of the endothelial cells represents the newly created vessels in a smeared manner. Co-opted blood vessels can be added as line element with flow or can be taken into account as boundary condition. The model is hence of the continuum-discrete type. Two examples show the potential of the newly enhanced model. The first deals with growth of a 2D tumor spheroid in a square tissue domain. From a blood vessel, posed on one side of the domain, angiogenesis takes place through the migration of endothelial cells from the vessel to the tumor. The second one is the simulation of cutaneous melanoma growth with the diffusion of TAF from the living tumor cells and the consequent development of a new vessel network, represented by the endothelial cells density. The introduction of angiogenesis will allow for simulating the delivery of chemotherapeutic and nanoparticle-mediated agents to the vascular tumor, and for evaluation of the therapeutic effect.

Original languageEnglish (US)
Pages (from-to)197-216
Number of pages20
JournalComputer Methods in Applied Mechanics and Engineering
StatePublished - Jun 1 2016


  • Angiogensis
  • Finite element method
  • Melanoma
  • Multiphase system
  • Porous media mechanics
  • Tumor growth

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications


Dive into the research topics of 'Simulation of angiogenesis in a multiphase tumor growth model'. Together they form a unique fingerprint.

Cite this