-
1
-
-
0004223429
-
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
-
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
-
-
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
-
-
-
-
4
-
-
0242322492
-
The universal dynamics of tumor growth
-
Bru A., Albertos S., Subiza J.L., Lopez Garcia-Asenjo J., and Bru I. The universal dynamics of tumor growth. Biophys. J. 85 (2003) 2948-2961
-
(2003)
Biophys. J.
, vol.85
, pp. 2948-2961
-
-
Bru, A.1
Albertos, S.2
Subiza, J.L.3
Lopez Garcia-Asenjo, J.4
Bru, I.5
-
5
-
-
0001143255
-
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
-
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
-
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
-
-
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
-
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
-
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
19
-
-
0000139141
-
Lattice gas hydrodynamics in two and three dimensions
-
Frisch U., d'Humieres D., Hasslacher B., Lallemand P., Pomeau Y., and Rivet J.-P. Lattice gas hydrodynamics in two and three dimensions. Compl. Syst. 1 (1987) 649-707
-
(1987)
Compl. Syst.
, vol.1
, pp. 649-707
-
-
Frisch, U.1
d'Humieres, D.2
Hasslacher, B.3
Lallemand, P.4
Pomeau, Y.5
Rivet, J.-P.6
-
20
-
-
33745943438
-
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
-
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
-
-
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)
-
-
-
-
23
-
-
27644518361
-
Mathematical modeling of glioblastoma tumor development: A review
-
Hatzikirou H., Deutsch A., Schaller C., Simon M., and Swanson K. Mathematical modeling of glioblastoma tumor development: A review. Math. Mod. Meth. Appl. Sci. 15 11 (2005) 1779-1794
-
(2005)
Math. Mod. Meth. Appl. Sci.
, vol.15
, Issue.11
, pp. 1779-1794
-
-
Hatzikirou, H.1
Deutsch, A.2
Schaller, C.3
Simon, M.4
Swanson, K.5
-
24
-
-
36049033574
-
-
Hatzikirou, H., Painter, K., and Deutsch, A. (2007). Numerical solvers of transport equations modeling individual cell motion. J. Math. Biol. (in preparation)
-
-
-
-
25
-
-
33748295649
-
(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
-
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
-
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
-
-
Lesne, A. (2007). Discrete vs continuous controversy in physics. Math. Struct. Comp. Sci. (in print)
-
-
-
-
30
-
-
0021274153
-
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
-
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
-
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
-
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
-
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
-
36
-
-
0030757876
-
Integrin-ligand binding governs cell-substratum adhesiveness
-
Palecek S.P., Loftus J.C., Ginsberg M.H., Lauffenburger D.A., and Horwitz A.F. Integrin-ligand binding governs cell-substratum adhesiveness. Nature 388 6638 (1997) 210
-
(1997)
Nature
, vol.388
, Issue.6638
, pp. 210
-
-
Palecek, S.P.1
Loftus, J.C.2
Ginsberg, M.H.3
Lauffenburger, D.A.4
Horwitz, A.F.5
-
37
-
-
34547262704
-
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
-
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
-
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
-
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
-
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
|