Corrigendum to "A quantitative cellular automaton model of in vitro multicellular spheroid tumour growth" [J. Theor. Biol. 258 (2009) 165-178] (DOI:10.1016/j.jtbi.2009.02.008);A quantitative cellular automaton model of in vitro multicellular spheroid tumour growth

Journal of Theoretical Biology

Volumn 258, Issue 2, 2009, Pages 165-178

  Piotrowska, Monika Joanna ^a   Angus, Simon D ^b  

^a UNIVERSITY OF WARSAW   (Poland)

^b MONASH UNIVERSITY   (Australia)

Author keywords

Computational; EMT6 Ro mammary carcinoma; Necrosis

Indexed keywords

CELLULAR AUTOMATON; EXPERIMENTAL STUDY; MODELING; QUANTITATIVE ANALYSIS; TUMOR;

ARTICLE; CELL DEATH; IN VITRO STUDY; MITOSIS; MULTICELLULAR SPHEROID; PRIORITY JOURNAL; QUANTITATIVE ANALYSIS; THEORETICAL MODEL; TUMOR CELL; TUMOR GROWTH;

EID: 64749102223     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2009.05.020     Document Type: Erratum

References (43)

1. Andersen L.K., and Mackey M.C. Resonance in periodic chemotherapy: a case study of acute myelogenous leukemia. J. Theor. Biol. 209 (2001) 113-130
2. Bellomo N., and Forni G. Dynamics of tumour interaction with the host immune system. Math. Comput. Model. 20 (1994) 107-122
3. Bodnar M., and Forys U. Time delay in necrotic core formation. Math. Biosci. Eng. 2 (2005) 461-472
4. Byrne H.M., and Chaplain M.A.J. Growth of non-nerotic tumours in the presence and absence of inhibitors. Math. Biosci. 130 (1995) 151-181
5. Byrne H.M., and Chaplain M.A.J. On the role of cell-cell adhesion in models for solid tumour growth. Math. Comput. Model. 24 (1996) 1-17
6. Casciari J.J., Sotirchos S.V., and Sutherland R.M. Glucose diffusivity in multicellular tumor spheroids. Cancer Res. 48 (1988) 3905-3909
7. Casciari J.J., Sotirchos S.V., and Sutherland R.M. Variation in tumor growth rates and metabolism with oxygen concentration, glucose concentration, and extracellular pH. J. Cell Physiol. 151 (1992) 386-394
8. Chaplain M.A.J. Avascular growth, angiogenesis and vascular growth in solid tumours: the mathematical modelling of the stages of tumour development. Math. Comput. Model. 23 (1996) 47-87
9. Chaplain M.A.J., Ganesh M., and Graham I.G. Spatio-temporal pattern formation on spherical surfaces: numerical simulation and application to solid tumour growth. J. Math. Biol. 42 (2001) 387-423
10. Crone C., and Levitt D.G. Capillary permeability to small solutes. In: Renkin E.M., and Michel C.C. (Eds). Handbook of Physiology: A Critical, Comprehensive Presentation of Physiological Knowledge and Concepts, Section 2: The Cardiovascular System, Vol. IV: Microcirculation, Part 1 (1984), American Physiological Society, Bethesda, ML pp. 414, 434-437
11. Dairkee S.H., Deng S.H., Stampfer M.R., Waldman R.M., and Smith H.S. Selective cell culture of primary breast cancer. Cancer Res. 35 (1995) 2516-2519
12. Dormann S., and Deutsch A. Modeling of self-organized avascular tumor growth with a hybrid cellular automaton. In Silico Biol. 2 (2002) 0035
13. Drasdo D. Coarse graining in simulated cell populations. Adv. Comput. Syst. 8 (2005) 319-363
14. Ferlay J., Autier P., Boniol M., Heanue M., Colombet M., and Boyle P. Estimates of the cancer incidence and mortality in Europe in 2006. Ann. Oncol. 18 (2007) 581-592
15. Freyer J.P. Role of necrosis in regulating the growth saturation of multicellular spheroids. Cancer Res. 48 (1988) 2432-2439
16. Freyer J.P., and Sutherland R.M. Selective dissociation and characterization of cells from different regions of multicell tumour spheroids. Cancer Res. 40 (1980) 3956-3965
17. Freyer J.P., and Sutherland R.M. A reduction in the in situ rates of oxygen and glucose consumption of cells in EMT6/Ro spheroids during growth. J. Cell. Phys. 124 (1985) 516-524
18. Freyer J.P., and Sutherland R.M. Regulation of growth saturation and development of necrosis in EMT6/Ro multicellular spheroids by the glucose and oxygen supply. Cancer Res. 46 (1986) 3504-3512
19. Gatenby R.A., Vincent T.L., and Gillies R.J. Evolutionary dynamics in carcinogenesis. Math. Model. Meth. Appl. Sci. 15 (2005) 1619-1638
20. Gerlee P., and Anderson A.R.A. An evolutionary hybrid cellular automaton model of solid tumour growth. J. Theor. Biol. 246 (2007) 583-603
21. Groebe K., and Mueller-Klieser W. On the relation between size of necrosis and diameter of tumor spheroids. Int. J. Radiat. Oncol. Biol. Phys. 34 2 (1996) 395-401
22. Hatzikirou H., Deutsch A., Schaller C., and Simon M. Mathematical modelling of glioblastoma tumour development: a review. Math. Model. Meth. Appl. Sci. 15 (2005) 1779-1794
23. Jiang Y., Pjesivac-Grbovic J., Cantrell C., and Freyer J.P. A multiscale model for avascular tumor growth. Biophys. J. 89 (2005) 3884-3894
24. Kansal A.R., Torquato S., Chioccaeb E.A., and Deisboeck T.S. Emergence of a subpopulation in a computational model of tumor growth. J. Theor. Biol. 207 (2000) 431-441
25. Kansal A.R., Torquato S., Harsh Iva G.R., Chioccaeb E.A., and Deisboeck T.S. Simulated brain tumor growth dynamics using a three-dimensional cellular automaton. J. Theor. Biol. 203 (2000) 367-382
26. Kardar M. Statistical Physics of Fields (2007), Cambridge University Press, Cambridge
27. Mansury Y., and Deisboeck T.S. The impact of 'search precision' in an agent-based tumour model. J. Theor. Biol. 224 (2003) 325-337
28. Mansury Y., and Deisboeck T.S. Simulating 'structure-function' patterns of malignant brain tumours. Physica A 331 (2004) 219-232
29. Mansury Y., Kimura M., Loboz J., and Deisboeck T.S. Emerging patterns in tumor systems: simulating the dynamics of multicellular clusters with an agent-based spatial agglomeration model. J. Theor. Biol. 219 (2002) 343-370
30. Moore H., and Lib N.K. A mathematical model for chronic myelogenous leukemia (CML) and t cell interaction. J. Theor. Biol. 227 (2004) 513-523
31. Mustafin A.T., and Volkov E.I. On the distribution of cell cycle generation times. Biosystems 15 2 (1982) 111-126
32. Patel A.A., Gawlinski E.T., Lemieux S.K., and Gatenby R.A. A cellular automaton model of early tumor growth and invasion: the effects of native tissue vascularity and increased anaerobic tumour metabolism. J. Theor. Biol. 213 (2001) 315-331
33. Piotrowska M.J. Hopf bifurcation in a solid avascular tumour growth model with two discrete delays. Math. Comput. Model. 47 (2008) 597-603
34. Piotrowska M.J., and Foryś U. Time delays in avascular tumour growth. Proceedings of the Tenth National Conference on Application of Mathematics in Biology and Medicine, Świety Krzyż (2004)
35. Preisler H.D., Raza A., Gopal V., Ahmad S., and Bokhari J. Distribution of cell cycle times amongst the leukemia cells within individual patients with acute myelogenous leukemia. Leukemia Res. 19 (1995) 693-698
36. Preziosi L. Cancer Modeling and Simulation (2003), Chapman & Hall, CRC, London and references therein
37. Venkatasubramanian R., Henson M.A., and Forbes N.S. Incorporating energy metabolism into a growth model of multicellular tumor spheroids. J. Theor. Biol. 242 2 (2006) 440-453
38. Walenta S., Doetsch J., Mueller-Klieser W., and Kunz-Schughart L.A. Metabolic imaging in multicellular spheroids of oncogene-transfected fibroblasts. J. Histochem. Cytochem. 48 4 (2000) 509-522
39. Ward J.P., and King J.R. Mathematical modelling of avascular-tumour growth. IMA J. Math. Appl. Med. Biol. 14 (1997) 39-69
40. Ward J.P., and King J.R. Mathematical modelling of avascular-tumour growth II: modelling growth saturation. IMA J. Math. Appl. Med. Biol. 16 (1999) 171-211
41. Weaver V.M., Petersen O.W., Wang F., Larabell C.A., Briand P., Damsky C., and Bissell M.J. Reversion of the malignant phenotype of human breast cells in three-dimensional culture and in vivo by integrin blocking antibodies. J Cell Biol. 137 1 (1997) 231-245
42. Wolf-Gladrow D.A. Lattice-Gas Cellular Automata and Lattice Boltzmann Models-An Introduction (2005), Springer, Berlin
43. Yu, P., Mustata, G., Nolte, D.D., 2007. 3-d video holography through biological tissue. Available on the web at 〈http://www.vet.purdue.edu/cristal/oci-info.htm〉.