3D multi-cell simulation of tumor growth and angiogenesis

PLoS ONE

Volumn 4, Issue 10, 2009, Pages

  Shirinifard, Abbas ^a   Gens, J Scott ^a   Zaitlen, Benjamin L ^a   Popławski, Nikodem J ^a   Swat, Maciej ^a   Glazier, James A ^a  

^a INDIANA UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANGIOGENESIS; ARTICLE; CELL HYPOXIA; CELL PROLIFERATION; CELL SHAPE; CELL STRUCTURE; CELLULAR DISTRIBUTION; CONTROLLED STUDY; DISEASE SIMULATION; ENDOTHELIUM CELL; GROWTH RATE; HUMAN; HUMAN CELL; OXYGEN CONSUMPTION; PHASE TRANSITION; SOLID TUMOR; SPHEROID CELL; TUMOR GROWTH; TUMOR VASCULARIZATION; TUMOR VOLUME; ANIMAL; ANOXIA; BIOLOGICAL MODEL; CELL TRANSFORMATION; CHEMICAL STRUCTURE; CHEMISTRY; COMPUTER PROGRAM; COMPUTER SIMULATION; MULTICELLULAR SPHEROID; NEOPLASM; NEOVASCULARIZATION (PATHOLOGY); PATHOLOGY; THREE DIMENSIONAL IMAGING; TIME; VASCULARIZATION;

OXYGEN;

ANIMALS; ANOXIA; CELL PROLIFERATION; CELL TRANSFORMATION, NEOPLASTIC; COMPUTER SIMULATION; HUMANS; IMAGING, THREE-DIMENSIONAL; MODELS, BIOLOGICAL; MODELS, MOLECULAR; NEOPLASMS; NEOVASCULARIZATION, PATHOLOGIC; OXYGEN; SOFTWARE; SPHEROIDS, CELLULAR; TIME FACTORS;

EID: 70449397345     PISSN: None     EISSN: 19326203     Source Type: Journal    
DOI: 10.1371/journal.pone.0007190     Document Type: Article

References (70)

1. deWaal RMW, Leenders WPJ (2005) Sprouting angiogenesis versus co-option in tumor angiogenesis. In: Clauss M, Breier G, eds. Mechanisms of Angiogenesis, Birkhauser Verlag/Switzerland. pp 65-76.
2. Marti HH (2005) Angiogenesis - a self adapting principle in hypoxia. In: Clauss M, Breier G, eds. Mechanisms of Angiogenesis, Birkhauser Verlag/ Switzerland. pp 163-180.
3. Friedl P, Wolf K (2003) Tumour-cell invasion and migration: diversity and escape mechanisms. Nat Rev Cancer 3: 362-374.
4. Shima DT, Adamis, Ferrara N, Yeo KT, Yeo T, et al. (1995) Hypoxic induction of endothelial growth factors in retinal cells: identification of vascular endothelial growth factor (VEGF) as the mitogen. Molecular Medicine 1: 182-193.
5. Carmeliet P (2001) Cardiovascular biology. Creating unique blood vessels. Nature 412: 868-869.
6. Folkman J (1995) Angiogenesis in cancer, vascular, rheumatoid and other disease. Nature Med 1: 27-31.
7. Folkman J, D'Amore PA (1996) Blood vessel formation: what is its molecular basis? Cell 87: 1153-1155.
8. 2 tension. Am J Physiol 271: C1172-C1180.
9. Jewell UR, Kvietikova I, Scheid A, Bauer C, Wenger RH, et al. (2001) Induction of HIF-1α in response to hypoxia is instantaneous. FASEB J 15: 1312-1314.
10. 2-sensing protein hydroxylases, hypoxia-inducible transcription factors, and o2-regulated gene expression. FASEB J 16: 1151-1162.
11. Robinson CJ, Stringer SE (2001) The splice variants of vascular endothelial growth factor (VEGF) and their receptors. J Cell Sci 114: 853-865.
12. Kusters B, de Waal RM, Wesseling P, Verrijp K, Maass C, et al. (2003) Differential effects of vascular endothelial growth factor A isoforms in a mouse brain metastasis model of human melanoma. Cancer Res 63: 5408-5413.
13. Gerhardt H (2008) VEGF and endothelial guidance in angiogenic sprouting. Organogenesis 4: 241-246.
14. Phng LK, Gerhardt H (2009) Angiogenesis: a team effort coordinated by notch. Dev Cell 16: 196-208.
15. Jurasz P, Alonso D, Castro-Blanco S, Murad F, Radomski MW (2003) Generation and role of angiostatin in human platelets. Blood 102: 3217-3223.
16. Wallez Y, Huber P (2008) Endothelial adherens and tight junctions in vascular homeostasis, inflammation and angiogenesis. Biochim Biophys Acta 1778: 794-809.
17. Dejana E, Corada M, Lampugnani MG (1995) Endothelial cell-to-cell junctions. FASEB J 9: 910-918.
18. Perryn ED, Czirók A, Little CD (2003) Vascular sprout formation entails tissue deformations and VE-cadherin-dependent cell-autonomous motility. Dev Biol 2008: 545-555.
19. Lampugnani MG, Zanetti A, Corada M, Takahashi T, Balconi G, et al. (2003) Contact inhibition of VEGF-induced proliferation requires vascular endothelial cadherin, β-catenin, and the phosphatase DEP-1/ CD148. J Cell Biol 161: 793-804.
20. Carmeliet P (2003) Angiogenesis in health and disease. Nat Med 9: 653-660.
21. Dor Y, Djonov V, Keshet E (2003) Making vascular networks in the adult: branching morphogenesis without a roadmap. Trends Cell Biol 13: 131-136.
22. Carmeliet P, Jain RK (2000) Angiogenesis in cancer and other diseases. Nature 407: 249-257.
23. Sanga S, Frieboes HB, Zheng X, Gatenby R, Bearer EL, et al. (2007) Predictive oncology: a review of multidisciplinary, multiscale in silico modeling linking phenotype, morphology and growth. Neuroimage 37: 120-134.
24. Anderson ARA, Chaplain MAJ (1998) Continuous and discrete mathematical models of tumour-induced angiogenesis. Bull Math Biol 60: 857-899.
25. Alarcón T, Byrne HM, Maini PK (2004) Towards whole-organ modelling of tumour growth. Prog Biophys Mol Biol 85: 451-472.
26. Macklin P, McDougall S, Anderson AR, Chaplain MA, Cristini V, et al. (2009) Multiscale modelling and nonlinear simulation of vascular tumour growth. J Math Biol 58: 765-798.
27. Mantzaris NV, Webb S, Othmer HG (2004) Mathematical modeling of tumor-induced angiogenesis. J Math Biol 49: 111-187.
28. Zheng X, Wise SM, Cristini V (2005) Nonlinear simulation of tumor necrosis, neo-vascularization and tissue invasion via an adaptive finite-element/level-set method. Bull Math Biol 67: 211-259.
29. Frieboes HB, Lowengrub JS, Wise S, Zheng X, Macklin P, et al. (2007) Computer simulation of glioma growt and morphology. Neuroimage 37: 59-70.
30. Plank MJ, Sleeman BD (2004) Lattice and non-lattice models of tumour angiogenesis. Bull Math Biol 66: 1785-1819.
31. Cristini V, Li X, Lowengrub JS, Wise SM (2009) Nonlinear simulations of solid tumor growth using a mixture model: invasion and branching. J Math Biol 58: 723-763.
32. Owen MR, Alarcon T, Maini PK, Byrne HM (2009) Angiogenesis and vascular remodelling in normal and cancerous tissues. Math Biol 58: 689-721.
33. Alarcon T, Byrne MH, Maini PK (2005) A multiple scale model for tumor growth. Multiscale Model Simul 3: 440-475.
34. Bartha K, Rieger H (2006) Vascular network remodeling via vessel cooption, regression and growth in tumors. J Theor Biol 241: 903-918.
35. Welter M, Bartha K, Rieger H (2008) Emergent vascular network inhomogeneities and resulting blood flow patterns in a growing tumor. J Theor Biol 250: 257-280.
36. McDougall SR, Anderson AR, Chaplain MA (2006) Mathematical modelling of dynamic adaptive tumour-induced angiogenesis: clinical implications and therapeutic targeting strategies. J Theor Biol 241: 564-589.
37. Stephanou A, McDougall SR, Anderson ARA (2006) Mathematical modelling of the influence of blood rheological properties upon adaptative tumour-induced angiogenesis. Math Comput Model 44: 96-123.
38. Stephanou A, McDougall SR, Anderson ARA (2005) Mathematical modelling of flow in 2 d and 3 d vascular networks: Applications to anti-angiogenic and chemotherapeutic drug strategies. Math Comput Model 41: 1137-1156.
39. Pries AR, Secomb TW, Gaehtgens P (1996) Biophysical aspects of blood flow in the microvasculature. Cardiovasc Res 32: 654-67.
40. Pries AR, Secomb TW (2005) Control of blood vessel structure: insights from theoretical models. Am J Physiol Heart Circ Physiol 288: 1010-1015.
41. Pries AR, Secomb TW (2008) Modeling structural adaptation of microcirculation. Microcirculation 15: 753-764.
42. Pries AR, Cornelissen AJ, Sloot AA, Hinkeldey M, Dreher MR, et al. (2009) Structural adaptation and heterogeneity of normal and tumor microvascular networks. PLoS Comput Biol 5: e1000394.
43. Ramis-Conde I, Chaplain MA, Anderson AR, Drasdo D (2009) Multi-scale modelling of cancer cell intravasation: the role of cadherins in metastasis. Phys Biol 6: 16008.
44. Graner F, Glazier JA (1992) Simulation of biological cell sorting using a two-dimensional extended Potts model. Phys Rev Lett 69: 2013-2016.
45. Glazier JA, Graner F (1993) Simulation of the differential adhesion driven rearrangement of biological cells. Phys Rev E 47: 2128-2154.
46. Glazier JA, Balter A, Poplawski NJ (2007) Magnetization to morphogenesis: a brief history of the Glazier-Graner-Hogeweg model. In: (Anderson AR, Chaplain MAJ, Rejniak KA, eds. Single-Cell-Based Models in Biology and Medicine, Birkhäuser/Verlag. pp 79-106.
47. Poplawski NJ, Agero U, Gens JS, Swat M, Glazier JA, et al. (2009) Front instabilities and invasiveness of simulated avascular tumors. Bull Math Biol 71: 1189-1227.
48. Anderson ARA (2005) A hybrid mathematical model of solid tumour invasion: the importance of cell adhesion. Math Med Biol 22: 163.
49. Rubenstein BM, Kaufman LJ (2008) The role of extracellular matrix in glioma invasion: a cellular Potts model approach. Biophys J 95: 5661-5680.
50. Vaupel P, Kallinowski F, Okunieff P (1989) Blood flow, oxygen and nutrient supply, and metabolic microenvironment of human tumors: a review. Cancer Res 49: 6449-65.
51. Merks RMH, Perryn ED, Shirinifard A, Glazier JA (2008) Contact-inhibited chemotaxis in de novo and sprouting blood-vessel growth. PLoS Comput Biol 4: e1000163.
52. Serini G, Ambrosi D, Giraudo E, Gamba A, Preziosi L, et al. (2003) Modeling the early stages of vascular network assembly. EMBO J 22: 1771-1779.
53. Fischer I, Gagner JP, Law M, Newcomb EW, Zagzag D (2005) Angiogenesis in gliomas: biology and molecular pathophysiology. Brain Pathol 15: 297-310.
54. Chen N, Glazier JA, Izaguirre JA, Alber MS (2007) A parallel implementation of the Cellular Potts model for simulation of cell-based morphogenesis. Comput Phys Commun 176: 670-681.
55. Poplawski NJ, Shirinifard A, Swat M, Glazier JA (2008) Simulation of single-species bacterial-biofilm growth using the Glazier-Graner-Hogeweg model and the CompuCell3D modeling environment. Math Biosci Eng 5: 355-388.
56. Poplawski NJ, Swat M, Gens JS, Glazier JA (2007) Adhesion between cells, diffusion of growth factors, and elasticity of the AER produce the paddle shape of the chick limb. Physica A 373: 521-532.
57. Glazier JA, Zhang Y, Swat M, Zaitlen B, Schnell S (2008) Coordinated action of n-cam, n-cadherin, epha4, and ephrinb2 translates genetic prepatterns into structure during somitogenesis in chick. Curr Top Dev Biol 81: 205-247.
58. Xu Z, Chen N, Shadden SC, Marsden JE, Kamocka MM, et al. (2009) Study of blood flow impact on growth of thrombi using a multiscale model. Soft Matter 5: 769-779.
59. Merks RMH, Glazier JA (2006) Dynamic mechanisms of blood vessel growth. Nonlinearity 19: 1-10.
60. Bauer AL, Jackson TL, Jiang Y (2009) Topography of extracellular matrix mediates vascular morphogenesis and migration speeds in angiogenesis. PLoS Comput Biol 5: e1000445.
61. Bauer AL, Jackson TL, Jiang Y (2007) A cell-based model exhibiting branching and anastomosis during tumor-induced angiogenesis. Biophys J 92: 3105-3121.
62. 2 gradients in solid tumors in vivo: high-resolution measurements reveal a lack of correlation. Nature Med 3: 177-182.
63. Balter A, Merks RMH, Poplawski NJ, Swat M, Glazier JA (2007) The Glazier-Graner-Hogeweg model: extensions, future directions, and opportunities for further study. In: Anderson AR, Chaplain MAJ, Rejniak KA, eds. Single-Cell-Based Models in Biology and Medicine, Birkhäuser/ Verlag,. pp 151-167.
64. Chaplain MA, McDougall SR, Anderson AR (2006) Mathematical modeling of tumor-induced angiogenesis. Annu Rev Biomed Eng 8: 233-257.
65. Popel AS (1989) Theory of oxygen transport to tissue. Crit Rev Biomed Eng 17: 257-321.
66. Swat MH, Hester SD, Balter AI, Heiland RW, Zaitlen BL, et al. (2009) Multicell simulations of development and disease using the compucell3d simulation environment. Methods Mol Biol 500: 361-428.
67. Fotos JS, Patel VP, Karin NJ, Temburni MK, Koh JT, et al. (2006) Automated time-lapse microscopy and high-resolution tracking of cell migration. Cytotechnology 51: 7-19.
68. Bray D (1992) Cell Movements. New York: Garland Publishing.
69. Sander LM, Deisboeck TS (2002) Growth patterns of microscopic brain tumors. Phys Rev E 66: 051901.
70. Burgess PK, Kulesa PM, Murray JD, Alvord EC (1997) The interaction of growth rates and diffusion coefficients in a three-dimensional mathematical model of gliomas. J Neuropathol Exp Neurol 56: 704-713.