A Metaphor of Complex Automata in Modeling Biological Phenomena

We demonstrate that Complex automata (CxA) - a hybrid of a Particle method (PM) and Cellular automata (CA) — can serve as a convenient modeling framework in developing advanced models of biological systems. As a proof_of_concept we use two processes of pathogenic growth: cancer proliferation and Fusarium graminearum wheat infection. The ability of mimicking both mechanical interactions of tumor with the rest of tissue and penetration properties of F.graminearum, confirms that our model can reproduce realistic 3-D dynamics of complex biological phenomena. We discuss the scope of application of CxA in the context of its implementation in CUDA GPU environment.

[1]  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.

[2]  D. Yuen,et al.  Bridging diverse physical scales with the discrete-particle paradigm in modeling colloidal dynamics with mesoscopic features , 2006 .

[3]  P Español,et al.  Thermodynamically consistent mesoscopic fluid particle model. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[4]  Witold Dzwinel,et al.  Complex Automata as a Novel Conceptual Framework for Modeling Biomedical Phenomena , 2012, Advances in Intelligent Modelling and Simulation.

[5]  Bastien Chopard,et al.  Cellular Automata Modeling of Physical Systems , 1999, Encyclopedia of Complexity and Systems Science.

[6]  Timothy C. Germann,et al.  TRILLION-ATOM MOLECULAR DYNAMICS BECOMES A REALITY , 2008 .

[7]  P. Español,et al.  FLUID PARTICLE MODEL , 1998 .

[8]  Witold Dzwinel,et al.  Particle Model of Tumor Growth and Its Parallel Implementation , 2009, PPAM.

[9]  Dirk Helbing,et al.  Simulating dynamical features of escape panic , 2000, Nature.

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

[11]  Bastien Chopard,et al.  Cellular Automata Modeling of Physical Systems: Index , 1998 .

[12]  Vittorio Cristini,et al.  Multiscale Modeling of Cancer: An Integrated Experimental and Mathematical Modeling Approach , 2010 .

[13]  Samee Ullah Khan,et al.  Advances in Intelligent Modelling and Simulation , 2012 .

[14]  Graeme P. Boswell,et al.  The Development of Fungal Networks in Complex Environments , 2007, Bulletin of mathematical biology.

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

[16]  A. Raza,et al.  Pericytes and vessel maturation during tumor angiogenesis and metastasis , 2010, American journal of hematology.

[17]  Rafal Wcislo,et al.  Gpu Enhanced Simulation of angiogenesis , 2012, Comput. Sci..

[18]  Norman I. Badler,et al.  Improving the realism of agent movement for high density crowd simulation , 2006 .

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

[20]  N. Goldenfeld,et al.  Coarse-graining of cellular automata, emergence, and the predictability of complex systems. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[21]  Witold Dzwinel,et al.  Virtual particles and search for global minimum , 1997, Future Gener. Comput. Syst..