Lattice-Gas Cellular Automaton Models for Biology: From Fluids to Cells

Acta Biotheoretica

Volumn 58, Issue 4, 2010, Pages 329-340

  Chopard, Bastien ^a   Ouared, Rafik ^a   Deutsch, Andreas ^b   Hatzikirou, Haralambos ^b   Wolf Gladrow, Dieter ^c  

^a UNIVERSITY OF GENEVA   (Switzerland)

^b DRESDEN UNIVERSITY OF TECHNOLOGY   (Germany)

^c ALFRED WEGENER INSTITUTE FOR POLAR AND MARINE RESEARCH   (Germany)

Author keywords

Blood clotting; Collective behaviour; Discrete dynamical system; Lattice Boltzmann model; Lattice gas cellular automaton; Tumour invasion

Indexed keywords

BLOOD; BRAIN; CELLULAR AUTOMATON; FLUID FLOW; TUMOR;

ARTICLE; BIOLOGICAL MODEL; GAS; HEMODYNAMICS; HUMAN; INTRACRANIAL ANEURYSM; METABOLISM; NEOPLASM;

GASES; HEMODYNAMICS; HUMANS; INTRACRANIAL ANEURYSM; MODELS, BIOLOGICAL; NEOPLASMS;

EID: 78349304770     PISSN: 00015342     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10441-010-9118-5     Document Type: Article

References (31)

1. Bell DN, Spain S, Goldsmith HL (1989) Adenosine diphosphate-induced aggregation of human platelets in flow through tubes. I. Measurement of concentration and size of single platelets and aggregates. Biophys J 56(5): 829-843.
2. Bru A, Albertos S, Subiza JL, Garcia-Asenjo JL, Bru I (2003) The universal dynamics of tumor growth. Bioph J 85: 2948-2961.
3. Chen S, Doolen GD (1998) Lattice Boltzmann methods for fluid flows. Annu Rev Fluid Mech 30: 329.
4. Chopard B, Droz M (1998) Cellular automata modeling of physical systems. Cambridge University Press, Cambridge.
5. Chopard B, Ouared R, Stahl B, Rufenacht DA, Yilmaz H, Courbebaisse G (2005) Thrombosis modeling in intracranial aneurysms: a lattice Boltzmann numerical algorithm. Comput Phys Commun 179(1-3): 128-131.
6. Davis PF (1995) Flow-mediated endothelial mechanotransduction. Physio Rev 75: 519-560.
7. Deutsch A, Dormann S (2005) Cellular automaton modeling of biological pattern formation. Birkhauser.
8. Folkman J, Hochberg M (1973) Self-regulation of growth in three dimensions. J Exp Med 138: 745-753.
9. Friedl P (2004) Prespecification and plasticity: shifting mechanisms of cell migration. Curr Opin Cell Biol 16(1): 14-23.
10. Frisch U, Hasslacher B, Pomeau Y (1986) Lattice-gas automata for the Navier-Stokes equation. Phys Rev Lett 56(14): 1505-1508.
11. Hanahan D, Weinberg R (2000) The hallmarks of cancer. Cell 100: 57-70.
12. Hardy J, Pomeau Y, de Pazzis O (1973) Time evolution of a two-dimensional classical lattice system. Phys Rev Lett 31: 276-279.
13. Hatzikirou H, Deutsch A (2008) Cellular automata as microscopic models of cell migration in heterogeneous environments. Curr Top Dev Biol 81: 401-434.
14. Hatzikirou H, Brusch L, Schaller C, Simon M, Deutsch A (2010) Prediction of traveling front behavior in a lattice-gas cellular automaton model for tumor invasion. Comput Math Appl 59(7): 2326-2339.
15. Hénon M (1987) Isometric collision rules for a four-dimensional fchc lattice gas. Compl Syst 1: 475.
16. Hirabayashi M, Rufenacht DA, Otha M, Chopard B (2003) Characterization of flow reduction in an aneurysm due to a porous stent. Phys Rev E 68: 021918.
17. Humphrey JD (2001) Cardiovascular solid mechanics.
18. Moroi M, Jung SM (1998) Integrin-mediated platelet adhesion. Front Biosci 3: d719-728.
19. Nasilowski R (1991) A cellular-automaton fluid model with simple rules in arbitrary many dimensions. J Stat Phys 65(2): 97-138.
20. Nowell PC (1976) The clonal evolution of tumor cell populations. Science 194: 23-28.
21. Ouared R, Chopard B (2005) Lattice Boltzmann simulations of blood flow: non-newtonian rheolgy and clotting processes. J Stat Phys 121(1-2): 209-221.
22. Rem PC, Somers JA (1989) Cellular automata algorithms on a transputer network. In: Monaco R (ed) Discrete kinematic theory, lattice gas dynamics and foundations of hydrodynamics. World Scientific, Singapore, pp 268-275.
23. Ruefenacht DA, Chopard B, Ouared R, Yilmaz H (2007) Lattice Boltzmann modeling of thrombosis in giant aneurysms. Int J Mod Phys C 18: 712-721.
24. Somers JA, Rem PC (1989) The construction of efficient collision tables for fluid flow. In: Manneville P, Boccara N, Vichniac GY, Bidaux R (eds) Cellular automata and modeling of complex physical systems. Springer, Berlin, pp 161-177.
25. Succi S (2001) The lattice Boltzmann equation: for fluid dynamics and beyond. Series Numerical Mathematics and Scientific Computation. Oxford University Press, Oxford.
26. Tektonidis M (2008) Parameter optimization in a cellular automaton model of cancer growth based on medical MRI data. Master's thesis. TU Berlin.
27. Teng MMH et al (2003) MR imaging of giant intracranial aneurysm. J Clin Neuros 10(4): 460-464.
28. Whittle IR, Dorsch NW, Besser M (1982) Spontaneous thrombosis in giant intracranial aneurysms. J Neurol Neurosurg Psychiat 45(11): 1040-1047.
29. Williams RH, Nollert MU (2004) Platelet-derived no slows thrombus growth on a collagen type iii surface. Thrombosis J 2: 1-11.
30. Wolf-Gladrow DA (2000) Lattice-gas cellular automata and lattice Boltzmann models: an Introduction. Springer, Berlin.
31. Wolfram S (1986) Theory and application of cellular automata. World Scientific, Singapore.