메뉴 건너뛰기




Volumn 81, Issue , 2008, Pages 401-434

Cellular Automata as Microscopic Models of Cell Migration in Heterogeneous Environments

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHM; ANIMAL; BIOLOGICAL MODEL; CELL ADHESION; CELL MOTION; EXPERIMENTAL NEOPLASM; MATHEMATICS; PATHOLOGY; PATHOPHYSIOLOGY; PHYSIOLOGY; REVIEW; SYSTEMS BIOLOGY;

EID: 36049010310     PISSN: 00702153     EISSN: None     Source Type: Book Series    
DOI: 10.1016/S0070-2153(07)81014-3     Document Type: Review
Times cited : (74)

References (43)
  • 1
    • 0004223429 scopus 로고
    • Phase transitions in a probabilistic cellular automaton: Growth kinetics and critical properties
    • Alexander F.J., Edrei I., Garrido P.L., and Lebowitz J.L. Phase transitions in a probabilistic cellular automaton: Growth kinetics and critical properties. J. Stat. Phys. 68 3/4 (1992) 497-514
    • (1992) J. Stat. Phys. , vol.68 , Issue.3-4 , pp. 497-514
    • Alexander, F.J.1    Edrei, I.2    Garrido, P.L.3    Lebowitz, J.L.4
  • 2
    • 33751217466 scopus 로고    scopus 로고
    • Tumor morphology and phenotypic evolution driven by selective pressure from the microenvironment
    • Anderson A.R., Weaver A.M., Cummings P.T., and Quaranta V. Tumor morphology and phenotypic evolution driven by selective pressure from the microenvironment. Cell 127 5 (2006) 905-915
    • (2006) Cell , vol.127 , Issue.5 , pp. 905-915
    • Anderson, A.R.1    Weaver, A.M.2    Cummings, P.T.3    Quaranta, V.4
  • 3
    • 36048957099 scopus 로고    scopus 로고
    • Basanta, D., Simon, M., Hatzikirou, H., and Deutsch, A. (2007). Evolutionary game theory elucidates the role of glycolysis in glioma progression and invasion. Cancer Res. submitted for publication
  • 5
    • 0001143255 scopus 로고    scopus 로고
    • Analysis of a pattern forming lattice gas automaton: Mean field theory and beyond
    • Bussemaker H. Analysis of a pattern forming lattice gas automaton: Mean field theory and beyond. Phys. Rev. E 53 2 (1996) 1644-1661
    • (1996) Phys. Rev. E , vol.53 , Issue.2 , pp. 1644-1661
    • Bussemaker, H.1
  • 6
    • 0842281982 scopus 로고    scopus 로고
    • Modeling solid tumor growth using the theory of mixtures
    • Byrne H., and Preziosi H. Modeling solid tumor growth using the theory of mixtures. Math. Med. Biol. 20 4 (2003) 341-366
    • (2003) Math. Med. Biol. , vol.20 , Issue.4 , pp. 341-366
    • Byrne, H.1    Preziosi, H.2
  • 7
    • 0013850974 scopus 로고
    • Principles of cell motility: The direction of cell movement and cancer invasion
    • Carter S.B. Principles of cell motility: The direction of cell movement and cancer invasion. Nature 208 5016 (1965) 1183-1187
    • (1965) Nature , vol.208 , Issue.5016 , pp. 1183-1187
    • Carter, S.B.1
  • 8
    • 84855242372 scopus 로고    scopus 로고
    • Chauviere, A., Hillen, T., and Preziosi L. (2007). Modeling the motion of a cell population in the extracellular matrix. Discr. Cont. Dyn. Syst. (to appear)
  • 10
    • 0034798578 scopus 로고    scopus 로고
    • Modeling the effects of transforming growth factor on extracellular alignment in dermal wound repair
    • Dallon J.C., Sherratt J.A., and Maini P.K. Modeling the effects of transforming growth factor on extracellular alignment in dermal wound repair. Wound Rep. Reg. 9 (2001) 278-286
    • (2001) Wound Rep. Reg. , vol.9 , pp. 278-286
    • Dallon, J.C.1    Sherratt, J.A.2    Maini, P.K.3
  • 11
    • 36049050567 scopus 로고    scopus 로고
    • De Franciscis, S., Hatzikirou, H., and Deutsch, A. (2007). Evaluation of discrete models of avascular tumor growth by means of fractal scaling analysis (preprint)
  • 13
    • 0027342528 scopus 로고
    • A stochastic model for cell random motility and haptotaxis based on adhesion receptor fluctuations
    • Dickinson R.B., and Tranquillo R.T. A stochastic model for cell random motility and haptotaxis based on adhesion receptor fluctuations. J. Math. Biol. 31 (1993) 563-600
    • (1993) J. Math. Biol. , vol.31 , pp. 563-600
    • Dickinson, R.B.1    Tranquillo, R.T.2
  • 14
    • 0029391714 scopus 로고
    • Transport equations and cell movement indices based on single cell properties
    • Dickinson R.B., and Tranquillo R.T. Transport equations and cell movement indices based on single cell properties. SIAM J. Appl. Math. 55 5 (1995) 1419-1454
    • (1995) SIAM J. Appl. Math. , vol.55 , Issue.5 , pp. 1419-1454
    • Dickinson, R.B.1    Tranquillo, R.T.2
  • 15
    • 28444437421 scopus 로고    scopus 로고
    • Kinetic models for chemotaxis: Hydrodynamic limits and spatiotemporal mechanics
    • Dolak Y., and Schmeiser C. Kinetic models for chemotaxis: Hydrodynamic limits and spatiotemporal mechanics. J. Math. Biol. 51 (2005) 595-615
    • (2005) J. Math. Biol. , vol.51 , pp. 595-615
    • Dolak, Y.1    Schmeiser, C.2
  • 16
    • 1642282882 scopus 로고    scopus 로고
    • Prespecification and plasticity: Shifting mechanisms of cell migration
    • Friedl P. Prespecification and plasticity: Shifting mechanisms of cell migration. Curr. Opin. Cell. Biol. 16 1 (2004) 14-23
    • (2004) Curr. Opin. Cell. Biol. , vol.16 , Issue.1 , pp. 14-23
    • Friedl, P.1
  • 17
    • 0033952145 scopus 로고    scopus 로고
    • The biology of cell locomotion within a three dimensional extracellular matrix
    • Friedl P., and Broecker E.B. The biology of cell locomotion within a three dimensional extracellular matrix. Cell Motil. Life Sci. 57 (2000) 41-64
    • (2000) Cell Motil. Life Sci. , vol.57 , pp. 41-64
    • Friedl, P.1    Broecker, E.B.2
  • 18
    • 0038049137 scopus 로고    scopus 로고
    • Tumor-cell invasion and migration: Diversity and escape mechanisms
    • Friedl P., and Wolf K. Tumor-cell invasion and migration: Diversity and escape mechanisms. Nat. Rev. 3 (2003) 362-374
    • (2003) Nat. Rev. , vol.3 , pp. 362-374
    • Friedl, P.1    Wolf, K.2
  • 20
    • 33745943438 scopus 로고    scopus 로고
    • Individual cell-based models of the spatial-temporal organization of multicellular systems-achievements and limitations
    • Galle J., Aust G., Schaller G., Beyer T., and Drasdo D. Individual cell-based models of the spatial-temporal organization of multicellular systems-achievements and limitations. Cytom. Part A 69A 7 (2006) 704-710
    • (2006) Cytom. Part A , vol.69 A , Issue.7 , pp. 704-710
    • Galle, J.1    Aust, G.2    Schaller, G.3    Beyer, T.4    Drasdo, D.5
  • 21
    • 33847683383 scopus 로고    scopus 로고
    • Directed cell migration in the presence of obstacles
    • Grima R. Directed cell migration in the presence of obstacles. Theor. Biol. Med. Model. 4 (2007) 2
    • (2007) Theor. Biol. Med. Model. , vol.4 , pp. 2
    • Grima, R.1
  • 22
    • 36048966177 scopus 로고    scopus 로고
    • Hatzikirou, H., Brusch, L., Schaller, C., Simon, M., and Deutsch, A. (2007). Characterization of traveling front behavior in a lattice gas cellular automaton model of glioma invasion. Math. Comp. Mod. (in print)
  • 24
    • 36049033574 scopus 로고    scopus 로고
    • Hatzikirou, H., Painter, K., and Deutsch, A. (2007). Numerical solvers of transport equations modeling individual cell motion. J. Math. Biol. (in preparation)
  • 25
    • 33748295649 scopus 로고    scopus 로고
    • (M5) Mesoscopic and macroscopic models for mesenchymal motion
    • Hillen T. (M5) Mesoscopic and macroscopic models for mesenchymal motion. J. Math. Biol. 53 (2006) 585-616
    • (2006) J. Math. Biol. , vol.53 , pp. 585-616
    • Hillen, T.1
  • 26
    • 35949010244 scopus 로고
    • From automata to fluid flow: Comparisons of simulation and theory
    • Kadanoff L.P., McNamara G.R., and Zanetti G. From automata to fluid flow: Comparisons of simulation and theory. Phys. Rev. A 40 (1989) 4527-4541
    • (1989) Phys. Rev. A , vol.40 , pp. 4527-4541
    • Kadanoff, L.P.1    McNamara, G.R.2    Zanetti, G.3
  • 27
    • 0015010990 scopus 로고
    • Traveling bands of chemotactic bacteria: A theoretical analysis
    • Keller E.F., and Segel L.A. Traveling bands of chemotactic bacteria: A theoretical analysis. J. Theor. Biol. 30 (1971) 235-248
    • (1971) J. Theor. Biol. , vol.30 , pp. 235-248
    • Keller, E.F.1    Segel, L.A.2
  • 28
    • 43449122446 scopus 로고    scopus 로고
    • Lesne, A. (2007). Discrete vs continuous controversy in physics. Math. Struct. Comp. Sci. (in print)
  • 30
    • 0021274153 scopus 로고
    • Laminin and fibronectin promote the haptotactic migration of B16 mouse melanoma cells
    • McCarthy J.B., and Furcht L.T. Laminin and fibronectin promote the haptotactic migration of B16 mouse melanoma cells. J. Cell Biol. 98 4 (1984) 1474-1480
    • (1984) J. Cell Biol. , vol.98 , Issue.4 , pp. 1474-1480
    • McCarthy, J.B.1    Furcht, L.T.2
  • 31
    • 0020609460 scopus 로고
    • A mechanical model for mesenchymal morphogenesis
    • Murray J.D., Oster G.F., and Harris A.K. A mechanical model for mesenchymal morphogenesis. J. Math. Biol. 17 (1983) 125-129
    • (1983) J. Math. Biol. , vol.17 , pp. 125-129
    • Murray, J.D.1    Oster, G.F.2    Harris, A.K.3
  • 32
    • 37649030281 scopus 로고    scopus 로고
    • Many-body theory of chemotactic cell-cell interactions
    • Newman T.J., and Grima R. Many-body theory of chemotactic cell-cell interactions. Phys. Rev. E 70 (2004) 051916
    • (2004) Phys. Rev. E , vol.70 , pp. 051916
    • Newman, T.J.1    Grima, R.2
  • 34
    • 0031207030 scopus 로고    scopus 로고
    • Aggregation, blowup and collapse: The ABC's of taxis in reinforced random walks
    • Othmer H.G., and Stevens A. Aggregation, blowup and collapse: The ABC's of taxis in reinforced random walks. SIAM J. Appl. Math. 57 (1997) 1044-1081
    • (1997) SIAM J. Appl. Math. , vol.57 , pp. 1044-1081
    • Othmer, H.G.1    Stevens, A.2
  • 35
    • 0023746235 scopus 로고
    • Models of dispersal in biological systems
    • Othmer H.G., Dunbar S.R., and Alt W. Models of dispersal in biological systems. J. Math. Biol. 26 (1988) 263-298
    • (1988) J. Math. Biol. , vol.26 , pp. 263-298
    • Othmer, H.G.1    Dunbar, S.R.2    Alt, W.3
  • 37
    • 34547262704 scopus 로고    scopus 로고
    • Self-propelled particles with fluctuating speed
    • Peruani F., and Morelli L. Self-propelled particles with fluctuating speed. Phys. Rev. Lett. 99 (2007) 010602
    • (2007) Phys. Rev. Lett. , vol.99 , pp. 010602
    • Peruani, F.1    Morelli, L.2
  • 38
    • 0028140412 scopus 로고
    • Anomalous diffusion due to obstacles: A Monte Carlo study
    • Saxton M. Anomalous diffusion due to obstacles: A Monte Carlo study. Biophys. J. 66 (1994) 394-401
    • (1994) Biophys. J. , vol.66 , pp. 394-401
    • Saxton, M.1
  • 40
    • 27844490009 scopus 로고    scopus 로고
    • The Lattice Boltzmann Equation: For Fluid Dynamics and Beyond
    • Oxford Univ. Press, Oxford, NY
    • Succi S. The Lattice Boltzmann Equation: For Fluid Dynamics and Beyond. Numerical Mathematics and Scientific Computation (2001), Oxford Univ. Press, Oxford, NY
    • (2001) Numerical Mathematics and Scientific Computation
    • Succi, S.1
  • 41
    • 0037033735 scopus 로고    scopus 로고
    • Virtual brain tumors (gliomas) enhance the reality of medical imaging and highlights inadequacies of current therapy
    • Swanson K.R., Alvord Jr. E.C., and Murray J.D. Virtual brain tumors (gliomas) enhance the reality of medical imaging and highlights inadequacies of current therapy. Brit. J. Canc. 86 (2002) 14-18
    • (2002) Brit. J. Canc. , vol.86 , pp. 14-18
    • Swanson, K.R.1    Alvord Jr., E.C.2    Murray, J.D.3
  • 43
    • 33845502729 scopus 로고    scopus 로고
    • Understanding effects of matrix protease and matrix organization on directional persistence and translational speed in three-dimensional cell migration
    • Zaman M.H., Matsudaira P., and Lauffenburger D.A. Understanding effects of matrix protease and matrix organization on directional persistence and translational speed in three-dimensional cell migration. Ann. Biomed. Eng. 35 1 (2006) 91-100
    • (2006) Ann. Biomed. Eng. , vol.35 , Issue.1 , pp. 91-100
    • Zaman, M.H.1    Matsudaira, P.2    Lauffenburger, D.A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.