TY - JOUR
T1 - Simulation of angiogenesis in a multiphase tumor growth model
AU - Santagiuliana, R.
AU - Ferrari, M.
AU - Schrefler, B. A.
N1 - Funding Information:
The authors thank Giuseppe Sciumè for kindly supplying the data for the melanoma model. MF acknowledges the financial supports from NCI Physical Science-Oncology Centers ( NIH U54CA143837 ), and from The Houston Methodist Research Institute , including the Ernest Cockrell Jr. Presidential Distinguished Chair.
Funding Information:
RS acknowledges the University of Padua for financial support (Project No. CPDR121149).
Publisher Copyright:
© 2016 Elsevier B.V..
Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2016/6/1
Y1 - 2016/6/1
N2 - 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.
AB - 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.
KW - Angiogensis
KW - Finite element method
KW - Melanoma
KW - Multiphase system
KW - Porous media mechanics
KW - Tumor growth
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U2 - 10.1016/j.cma.2016.02.022
DO - 10.1016/j.cma.2016.02.022
M3 - Article
AN - SCOPUS:84960115605
VL - 304
SP - 197
EP - 216
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0045-7825
ER -