Literature DB >> 25346862

A High-Performance Cellular Automaton Model of Tumor Growth with Dynamically Growing Domains.

Jan Poleszczuk1, Heiko Enderling2.   

Abstract

Tumor growth from a single transformed cancer cell up to a clinically apparent mass spans many spatial and temporal orders of magnitude. Implementation of cellular automata simulations of such tumor growth can be straightforward but computing performance often counterbalances simplicity. Computationally convenient simulation times can be achieved by choosing appropriate data structures, memory and cell handling as well as domain setup. We propose a cellular automaton model of tumor growth with a domain that expands dynamically as the tumor population increases. We discuss memory access, data structures and implementation techniques that yield high-performance multi-scale Monte Carlo simulations of tumor growth. We discuss tumor properties that favor the proposed high-performance design and present simulation results of the tumor growth model. We estimate to which parameters the model is the most sensitive, and show that tumor volume depends on a number of parameters in a non-monotonic manner.

Entities:  

Keywords:  cancer stem cells; cellular automaton; dynamic boundaries; sensitivity analysis; tumor model

Year:  2014        PMID: 25346862      PMCID: PMC4208695          DOI: 10.4236/am.2014.51017

Source DB:  PubMed          Journal:  Appl Math (Irvine)        ISSN: 2152-7385


  20 in total

1.  A cellular automaton model of early tumor growth and invasion.

Authors:  A A Patel; E T Gawlinski; S K Lemieux; R A Gatenby
Journal:  J Theor Biol       Date:  2001-12-07       Impact factor: 2.691

2.  A hybrid mathematical model of solid tumour invasion: the importance of cell adhesion.

Authors:  Alexander R A Anderson
Journal:  Math Med Biol       Date:  2005-03-21       Impact factor: 1.854

3.  An evolutionary hybrid cellular automaton model of solid tumour growth.

Authors:  P Gerlee; A R A Anderson
Journal:  J Theor Biol       Date:  2007-02-12       Impact factor: 2.691

4.  A quantitative cellular automaton model of in vitro multicellular spheroid tumour growth.

Authors:  Monika Joanna Piotrowska; Simon D Angus
Journal:  J Theor Biol       Date:  2009-02-25       Impact factor: 2.691

5.  Phenotypic transition maps of 3D breast acini obtained by imaging-guided agent-based modeling.

Authors:  Jonathan Tang; Heiko Enderling; Sabine Becker-Weimann; Christopher Pham; Aris Polyzos; Chen-Yi Chen; Sylvain V Costes
Journal:  Integr Biol (Camb)       Date:  2011-03-04       Impact factor: 2.192

6.  A cellular automaton model for tumour growth in inhomogeneous environment.

Authors:  T Alarcón; H M Byrne; P K Maini
Journal:  J Theor Biol       Date:  2003-11-21       Impact factor: 2.691

7.  Acute and fractionated irradiation differentially modulate glioma stem cell division kinetics.

Authors:  Xuefeng Gao; J Tyson McDonald; Lynn Hlatky; Heiko Enderling
Journal:  Cancer Res       Date:  2012-12-26       Impact factor: 12.701

8.  Modelling the effects of cell-cycle heterogeneity on the response of a solid tumour to chemotherapy: biological insights from a hybrid multiscale cellular automaton model.

Authors:  Gibin G Powathil; Kirsty E Gordon; Lydia A Hill; Mark A J Chaplain
Journal:  J Theor Biol       Date:  2012-05-29       Impact factor: 2.691

9.  Non-stem cancer cell kinetics modulate solid tumor progression.

Authors:  Charles I Morton; Lynn Hlatky; Philip Hahnfeldt; Heiko Enderling
Journal:  Theor Biol Med Model       Date:  2011-12-30       Impact factor: 2.432

10.  Cancer Stem Cells: A Minor Cancer Subpopulation that Redefines Global Cancer Features.

Authors:  Heiko Enderling; Lynn Hlatky; Philip Hahnfeldt
Journal:  Front Oncol       Date:  2013-04-15       Impact factor: 6.244

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  10 in total

1.  Extremely high genetic diversity in a single tumor points to prevalence of non-Darwinian cell evolution.

Authors:  Shaoping Ling; Zheng Hu; Zuyu Yang; Fang Yang; Yawei Li; Pei Lin; Ke Chen; Lili Dong; Lihua Cao; Yong Tao; Lingtong Hao; Qingjian Chen; Qiang Gong; Dafei Wu; Wenjie Li; Wenming Zhao; Xiuyun Tian; Chunyi Hao; Eric A Hungate; Daniel V T Catenacci; Richard R Hudson; Wen-Hsiung Li; Xuemei Lu; Chung-I Wu
Journal:  Proc Natl Acad Sci U S A       Date:  2015-11-11       Impact factor: 11.205

2.  Evolution and phenotypic selection of cancer stem cells.

Authors:  Jan Poleszczuk; Philip Hahnfeldt; Heiko Enderling
Journal:  PLoS Comput Biol       Date:  2015-03-05       Impact factor: 4.475

3.  Cancer Stem Cell Plasticity as Tumor Growth Promoter and Catalyst of Population Collapse.

Authors:  Jan Poleszczuk; Heiko Enderling
Journal:  Stem Cells Int       Date:  2015-12-08       Impact factor: 5.443

4.  Cell adhesion heterogeneity reinforces tumour cell dissemination: novel insights from a mathematical model.

Authors:  David Reher; Barbara Klink; Andreas Deutsch; Anja Voss-Böhme
Journal:  Biol Direct       Date:  2017-08-11       Impact factor: 4.540

5.  Hybrid multiscale modeling and prediction of cancer cell behavior.

Authors:  Mohammad Hossein Zangooei; Jafar Habibi
Journal:  PLoS One       Date:  2017-08-28       Impact factor: 3.240

Review 6.  A Review of Cell-Based Computational Modeling in Cancer Biology.

Authors:  John Metzcar; Yafei Wang; Randy Heiland; Paul Macklin
Journal:  JCO Clin Cancer Inform       Date:  2019-02

7.  Dynamic Load Balancing Strategy for Parallel Tumor Growth Simulations.

Authors:  Alberto G Salguero; Antonio J Tomeu-Hardasmal; Manuel I Capel
Journal:  J Integr Bioinform       Date:  2019-02-14

8.  Uncertainty quantification on a spatial Markov-chain model for the progression of skin cancer.

Authors:  Fred Vermolen; Ilkka Pölönen
Journal:  J Math Biol       Date:  2019-12-19       Impact factor: 2.259

Review 9.  A Review of Mathematical and Computational Methods in Cancer Dynamics.

Authors:  Abicumaran Uthamacumaran; Hector Zenil
Journal:  Front Oncol       Date:  2022-07-25       Impact factor: 5.738

10.  Sampling from single-cell observations to predict tumor cell growth in-vitro and in-vivo.

Authors:  Alexander T Pearson; Patrick Ingram; Shoumei Bai; Patrick O'Hayer; Jaehoon Chung; Euisik Yoon; Trachette Jackson; Ronald J Buckanovich
Journal:  Oncotarget       Date:  2017-11-25
  10 in total

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