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Published in:
Mechanical Loading of Blood Cells in Turbulent Flow Read chapter Read first chapter

2014 | OriginalPaper | Chapter

Modeling Three-Dimensional Avascular Tumor Growth Using Lattice Gas Cellular Automata

Authors : Sachin Man Bajimaya Shrestha, Grand Joldes, Adam Wittek, Karol Miller

Published in: Computational Biomechanics for Medicine

Publisher: Springer New York

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Abstract

We model and simulate avascular tumor growth in three dimensions using lattice gas cellular automata (LGCA). Our 3D models are an advance over current state-of-the-art where most three dimensional (3D) models are in fact only a series of two dimensional models simulated to give an appearance of a 3D model. In our 3D model, we use binary description of cells and their states for computational speed and efficiency. The fate and distribution of cells in our model are determined by the Lattice–Boltzmann energy. We simulate our model in a comparable size of lattice and show that the findings are in good agreement with biological tumor behavior.

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previous chapter Mechanical Loading of Blood Cells in Turbulent Flow
next chapter Modelling the Tumour Growth Along a Complex Vasculature Using Cellular Automata
Literature
1.
Wolfgang A (2007) Molecular biology of human cancers. Springer, Dordrecht
2.
Shrestha SMB, Joldes G, Wittek A, Miller K (2012) Modeling heterogeneous tumor growth using hybrid cellular automata. In: Nielsen PMF, Wittek A, Miller K (eds) Computational biomechanics for medicine. Springer, New York, pp 129–139CrossRef
3.
Shrestha SMB, Joldes GR, Wittek A, Miller K (2013) Cellular automata coupled with steady-state nutrient solution permit simulation of large-scale growth of tumours. Int J Numer Meth Biomed Eng 29(4):542–559CrossRef
4.
Qi A-S, Zheng X, Du C-Y, An B-S (1993) A cellular automaton model of cancerous growth. J Theoret Biol 161(1):1–12
5.
Vermeulen L, Todaro M, de Sousa MF, Sprick M, Kemper K, Alea MP, Richel D, Stassi G, Medema J (2008) Single-cell cloning of colon cancer stem cells reveals a multi-lineage differentiation capacity. Proc Natl Acad Sci 105(36):13427–13432CrossRef
6.
Deutsch A, Dormann S, Maini PK (2005) Cellular automaton modeling of biological pattern formation: characterization, applications, and analysis. Springer, Berlin
7.
Kansal A, Torquato S, Harsh G, Chiocca E, Deisboeck T (2000) Simulated brain tumor growth dynamics using a three-dimensional cellular automaton. J Theoret Biol 203(4):367–382CrossRef
8.
Sciumè G (2013) A multiphase model for three-dimensional tumor growth. New J Phys 15(1):015005CrossRef
9.
Frieboes HB, Jin F, Chuang Y-L, Wise SM, Lowengrub JS, Cristini V (2010) Three-dimensional multispecies nonlinear tumor growth—II: tumor invasion and angiogenesis. J Theoret Biol 264(4):1254–1278CrossRefMathSciNet
10.
Potts RB (1952) Some generalized order–disorder transformations. In: Proceedings of the Cambridge Philosophical Society. Cambridge University Press, Cambridge
11.
Hardy J, De Pazzis O, Pomeau Y (1976) Molecular dynamics of a classical lattice gas: transport properties and time correlation functions. Phys Rev A 13(5):1949CrossRef
12.
Chopard B, Droz M (1998) Cellular automata modeling of physical systems, vol 122. Cambridge University Press, CambridgeCrossRefMATH
13.
Dormann S, Deutsch A (2002) Modeling of self-organized avascular tumor growth with a hybrid cellular automaton. In Silico Biol 2(3):393–406
14.
Weimar JR (1997) Simulation with cellular automata. Logos, Berlin
15.
Rubenstein BM, Kaufman LJ (2008) The role of extracellular matrix in glioma invasion: a cellular potts model approach. Biophys J 95(12):5661–5680CrossRef
16.
Graner F, Glazier JA (1992) Simulation of biological cell sorting using a two-dimensional extended potts model. Phys Rev Lett 69(13):2013–2016CrossRef
17.
18.
Gering D, Nabavi A, Kikinis R, Grimson WE, Hata N, Everett P, Jolesz F, Wells W (1999) An integrated visualization system for surgical planning and guidance using image fusion and interventional imaging. In: Taylor C, Colchester A (eds) Medical image computing and computer-assisted intervention. Springer, Berlin, Heidelberg, pp 809–819CrossRef
19.
Gering DT, Nabavi A, Kikinis R, Hata N, O’Donnell LJ, Grimson WEL, Jolesz FA, Black PM, Wells WM (2001) An integrated visualization system for surgical planning and guidance using image fusion and an open MR. J Magn Res Imag 13(6):967–975CrossRef
20.
Pieper S, Lorensen B, Schroeder W, Kikinis R (2006) The na-mic kit: Itk, vtk, pipelines, grids and 3d slicer as an open platform for the medical image computing community. In: 3rd IEEE International Symposium on Biomedical Imaging: Nano to Macro
21.
Mildenberger P, Eichelberg M, Martin E (2002) Introduction to the dicom standard. European Radiol 12(4):920–927CrossRef
Metadata
Title
Modeling Three-Dimensional Avascular Tumor Growth Using Lattice Gas Cellular Automata
Authors
Sachin Man Bajimaya Shrestha
Grand Joldes
Adam Wittek
Karol Miller
Copyright Year
2014
Publisher
Springer New York
Book
Computational Biomechanics for Medicine

Print ISBN: 978-1-4939-0744-1

Electronic ISBN: 978-1-4939-0745-8

Copyright Year: 2014

DOI
https://doi.org/10.1007/978-1-4939-0745-8_2