Particle Model of Tumor Growth and Its Parallel Implementation

We present a concept of a parallel implementation of a novel 3-D model of tumor growth. The model is based on particle dynamics, which are building blocks of normal, cancerous and vascular tissues. The dynamics of the system is driven also by the processes in microscopic scales (e.g. cell life-cycle), diffusive substances - nutrients and TAF (tumor angiogenic factors) - and blood flow. We show that the cell life-cycle (particle production and annihilation), the existence of elongated particles, the influence of continuum fields and blood flow in capillaries, makes the model very tough for parallelization in comparison to standard MD codes. We present preliminary timings of our parallel implementation and we discuss the perspectives of our approach.

[1]  J. Folkman Tumor angiogenesis: therapeutic implications. , 1971, The New England journal of medicine.

[2]  David A. Yuen,et al.  Modeling Heterogeneous Mesoscopic Fluids in Irregular Geometries using Shared Memory Systems , 2005 .

[3]  Luigi Preziosi,et al.  Cancer Modelling and Simulation , 2003 .

[4]  David A. Yuen,et al.  A 3-D model of tumor progression based on complex automata driven by particle dynamics , 2009, Journal of Molecular Modeling.

[5]  David A. Yuen,et al.  Turbulent mixing in the microscale: a 2D molecular dynamics simulation , 2000 .

[6]  Marcelo Lobosco,et al.  Java for high‐performance network‐based computing: a survey , 2002, Concurr. Comput. Pract. Exp..

[7]  M. Chaplain,et al.  Mathematical Modelling of Angiogenesis , 2000, Journal of Neuro-Oncology.

[8]  Peter S. Lomdahl,et al.  LARGE-SCALE MOLECULAR-DYNAMICS SIMULATION OF 19 BILLION PARTICLES , 2004 .

[9]  H. Othmer,et al.  Mathematical modeling of tumor-induced angiogenesis , 2004, Journal of mathematical biology.

[10]  David A. Yuen,et al.  Parallel implementation of the fluid particle model for simulating complex fluids in the mesoscale , 2002, Concurr. Comput. Pract. Exp..

[11]  Witold Dzwinel,et al.  Particle Based Model of Tumor Progression Stimulated by the Process of Angiogenesis , 2008, ICCS.

[12]  Luigi Preziosi,et al.  Multiscale modeling and mathematical problems related to tumor evolution and medical therapy. , 2003 .

[13]  R.Wcisło,et al.  A new model of tumor progression based on the concept of complex automata driven by particle dynamics , 2008 .

[14]  W. Dzwinel,et al.  Using Discrete Particles As a Natural Solver In Simulating Multiple-Scale Phenomena , 2000 .

[15]  J Folkman,et al.  Transplacental carcinogenesis by stilbestrol. , 1971, The New England journal of medicine.

[16]  Marco Aldinucci,et al.  Computational Science - ICCS 2008, 8th International Conference, Kraków, Poland, June 23-25, 2008, Proceedings, Part I , 2008, ICCS.