Stochastic cellular automata model of cell migration, proliferation and differentiation: Validation with in vitro cultures of muscle satellite cells

Journal of Theoretical Biology

Volumn 314, Issue , 2012, Pages 1-9

  Garijo, N ^a   Manzano, R ^a   Osta, R ^a   Perez, M A ^a  

^a UNIVERSITY OF ZARAGOZA   (Spain)

Author keywords

Muscle satellite cells; Proliferation migration differentiation; Random walk; Stochastic cellular automata model

Indexed keywords

CELLULAR AUTOMATON; CORRELATION; DIFFUSION; EMPIRICAL ANALYSIS; NUMERICAL MODEL; STOCHASTICITY;

ANIMAL CELL; ANIMAL EXPERIMENT; ARTICLE; CELL CULTURE; CELL DIFFERENTIATION; CELL FUNCTION; CELL MIGRATION; CELL PROLIFERATION; CELLULAR DISTRIBUTION; CONTROLLED STUDY; FEMALE; IN VITRO STUDY; MALE; MOUSE; MYOTUBE; NONHUMAN; PRIORITY JOURNAL; PROCESS MODEL; QUANTITATIVE ANALYSIS; SKELETAL MUSCLE SATELLITE CELL; STATISTICAL ANALYSIS; STATISTICAL MODEL;

ALGORITHMS; ANIMALS; CELL DIFFERENTIATION; CELL MOVEMENT; CELL PROLIFERATION; CELLS, CULTURED; HUMANS; MICE; MICE, TRANSGENIC; MODELS, BIOLOGICAL; REPRODUCIBILITY OF RESULTS; SATELLITE CELLS, SKELETAL MUSCLE; STOCHASTIC PROCESSES;

EID: 84865994146     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2012.08.004     Document Type: Article

References (44)

1. Alarcón T., Byrne H.M., Maini P.K. A cellular automaton model for tumour growth in inhomogeneous environment. J. Theor. Biol. 2003, 225:257-274.
2. Ambrose E.J. The movements of fibrocytes. Exp. Cell Res. 1961, 8:54-73.
3. Bailón-Plaza A., van der Meulen M.C.H. Beneficial effects of moderate, early loading and adverse effects of delayed or excessive loading on bone healing. J. Biomech. 2003, 36:1069-1077.
4. Bischoff R., Heintz C. Enhancement of skeletal muscle regeneration. Dev. Dyn. 1994, 201:41-54.
5. Börner U., Deutsch A., Reichenback H., Bär M. Rippling patterns in aggregates of myxobacteria arise from cell-cell collisions. Phys. Rev. Lett. 2002, 89(7):078101.
6. Boyle C.J., Lennon.A.B., Early M., Kelly D.J., Lally C., Prendergast P.J. Computational simulation methodologies for mechanobiological modeling: a cell-centred approach to neointima development in stents. Philos. Trans. R. Soc. A 2010, 368:2919-2935.
7. Byrne D.P., Lacroix D., Planell J.A., Kelly D.J., Prendergast P.J. Simulation of tissue differentiation in a scaffold as a function of porosity, Young's modulus and dissolution rate: application of mechanobiological models in tissue engineering. Biomaterials 2007, 28:5544-5554.
8. Byrne H., Drasdo D. Individual-based and continuum models of growing cell populations: a comparison. J. Math. Biol. 2009, 58:657-687.
9. Carter S.B. "Principles of cell motillity: the direction of cell movement and cancer invasion. Nature 1965, 208(16):1183-1187.
10. Charge S.B., Rudnicki M.A. Cellular and molecular regulation of muscle regeneration. Physiol. Rev. 2004, 84(1):209-238.
11. Chakravarthy M.V., Davis B.S., Booth F.W. IGF-I restores satellite cell proliferative potential in immobilized old skeletal muscle. J. Appl. Physiol. 2000, 89(4):1365-1379.
12. Checa S., Prendergast P.J. Effect of cell seeding and mechanical loading on vascularisation and tissue formation inside a scaffold: a mechano-biological model using a lattice approach to simulate cell activity. J. Biomech. 2010, 43:961-968.
13. Chopard B., Ouared R., Deutsch A., Hatzikirou H., Wolf-Gladrow D. Lattice-gas cellular automaton models for biology: from fluids to cells. Acta Biotheor. 2010, 58(4):329-340.
14. Deutsch A., Dormann S. Cellular Automaton Modeling of Biological Pattern Formation 2005, Birkhauser, Boston.
15. Drasdo D., Höhme S. A single-cell-based model of tumor growth in vitro: monolayers and spheroids. Phys. Biol. 2005, 2:133-147.
16. Hatzikirou H., Deutsch A. Cellular automata as microscopic models of cell migration in heterogeneous environments. Curr. Top. Dev. Biol. 2008, 81:401-434.
17. Hawke T.J., Garry D.J. Myogenic satellite cells: physiology to molecular biology. J. Appl. Physiol. 2001, 91(2):534-551.
18. Henzé M.L., Collin O., Terrier E., Lennon-Doménil A.M., Piel M. Cell migration in confinement: microchannel-based assay. Methods Mol. Biol. 2011, 769:415-434.
19. Hoffmann M., Kuska J.P., Zscharnack M., Loeffler M., Galle J. Spatial organization of mesenchymal stem cells in vitro-results from a new individual cell-based model with podia. PLoS ONE 2011, 6(7):e21960.
20. Hwang M., Garbey M., Berceli S.A., Tran-Son-Tay R. Rule-base simulation of multicellular biological systems-a review of modeling techniques. Cell. Mol. Bioeng. 2009, 2(3):285-294.
21. Kalhovde J.M., Jerkovic R., Sefland I., Cordonnier C., Calabria E., Schiaffino S., Lomo T. "Fast" and "Slow" muscle fibres in hindlimb muscles of adult rats regenerate from intrinsically different satellite cells. J. Physiol. 2005, 562:847-857.
22. Khayyeri H., Checa S., Tägil M., Aspenberg P., Prendergast P.J. Variability observed in mechano-regulated in vivo tissue differentiation can be explained by variation in cell mechano-sensitivity. J. Biomech. 2011, 44:1051-1058.
23. Khayyeri.H., Checa S., Tägil M., O'Brien F.J., Prendergast P.J Tissue differentiation in an in vivo bioreactor: in silico investigations of scaffold stiffness. J. Mater. Sci. Mater. Med. 2010, 21:2331-2336.
24. Khayyeri H., Checa S., Tägil M., Prendergast P.J. Corroboration of mechanobiological simulations of tissue differentiation in an in vivo bone chamber using a lattice-modeling approach. J. Orthop. Res. 2009, 27(12):1659-1666.
25. Lacroix D., Prendergast P.J., Li G., Marsh D. Biomechanical model to simulate tissue differentiation and bone regeneration application to frature healing. Med. Biol. Eng. Comput. 2002, 40:14-21.
26. Landmann K.A., Fernando A.E., Zhang D., Newgreen D.F. Building stable chains with motile agents: insights into the morphology of enteric neural crest cell migration. J. Theor. Biol. 2011, 276(1):250-268.
27. Lanza R., Thomas E.D., Thomson J., Pedersen R. Essentials of Stem Cell Biology 2005, Academic Press, New York.
28. Longo D., Peirce S.M., Skalak T., Davidson L., Marsden M., Dzamba B., DeSimone D.W. Multicellular computer simulation of morphogenesis: blastocoel roof thinning and matrix assembly in Xenopus laevis. Dev. Biol. 2004, 271:210-222.
29. Manzano R., Toivonen J.M., Calvo A.C., Muñoz M.J., Zaragoza P., Osta R. Housekeeping gene expression in myogenic cell cultures from neurodegeneration and denervation animal models. Biochem. Biophys. Res. Commun. 2011, 407(4):758-763.
30. Manzano R., Toivonen J.M., Calvo A.C., Miana-Mena F.J., Zaragoza P., Muñoz M.J., Montarras D., Osta R. Sex, Q1 fiber-type, and age dependent in vitro proliferation of mouse muscle satellite cells. J. Cell. Biochem. 2011, 112(10):2825-2836.
31. Palsson, B.O., Bhatia, S.N., 2004. Tissue Engineering, Pearson Prentice Hall Bioengineering, US.
32. Patterson M.F., Stephenson G.M.M., Stephenson D.G. Denervation produces different single fiber phenotypes in fast- and slow-twitch hindlimb muscles of the rat. Am. J. Physiol. Cell Physiol. 2006, 291:518-528.
33. Pradat P.F., Barani A., Wanschitz J., Dubourg O., Lombès A., Bigot A., Mouly V., Bruneteau G., Salachas F., Lenglet T., Meininger V., Butler-Browne G. Abnormalities of satellite cells function in amyotrophic lateral sclerosis. Amyotroph. Lateral Scler. 2011, 12(4):264-271.
34. Pérez M.A., Prendergast P.J. Random-walk models of cell dispersal included in mechanobiological simulations of tissue differentiation. J. Biomech. 2007, 40:2244-2253.
35. Peirce S.M., Van Gieson E.J., Skalak T.C. Multicellular simulation predicts microvascular patterning and in silico tissue assembly. FASEB J. 2004, 18(6):731-733. 10.1096/fj.03-0933fje.
36. Sandino C., Checa S., Prendergast P.J., Lacroix D. Simulation of angiogenesis and cell differentiation in CaP scaffold subjected to compressive strains using a lattice modelling approach. Biomaterials 2010, 31:2446-2452.
37. Siegel A.L., Atchison K., Fisher K.E., Davis G.D., Cornelison D.D.V. 3D timelaspse analysis of muscle satellite cell motility. Stem Cell 2009, 27:2527-2538.
38. Simpson M.J., Merrifield A., Landman K.A., Hughes B.D. Simulating invasion with cellular automata: connecting cell-scale and population-scale properties. Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 2007, 76(2 Pt 1):021918.
39. Stokes C.L., Lauffenburger D.A. Migration of individual microvessel endothelial cells: stochastic model and parameter measurement. J. Cell Sci. 1991, 99:419-430.
40. Terranova V.P., Diflorio R., Lyall R.M., Hic S., Friesel R., Maciag T. Human endothelial cells are chemotactic to endothelial cell growth factor and heparin. J. Cell Sci. 1985, 101:2330-2334.
41. Turner S., Sherrat J.A. Intercellular adhesion and cancer invasion: a discrete simulation using the extended potts model. J. Theor. Biol. 2002, 216:85-100.
42. Zahedmanesh H., Lally C. A multiscale mechanobiological modeling framework using agent-based models and finite element analysis: application to vascular tissue engineering. Biomech. Model. Mechanobiol. 2012, 11(3-4):363-377.
43. Zierath J.R., Hawley J.A. Skeletal muscle fiber type: influence on contractile and metabolic properties. PLoS Biol. 2004, 2(10):e348.
44. Zohar R., Cheifetz S., McCulloch C.A.G., Sodek J. Analysis of intracellular osteopontin as a marker of osteoblastic cell differentiation and mesenchymal cell migration. Eur. J. Oral Sci. 1998, 106:401-407.