A computational study of the development of epithelial acini: II. Necessary conditions for structure and lumen stability

Bulletin of Mathematical Biology

Volumn 70, Issue 5, 2008, Pages 1450-1479

  Rejniak, Katarzyna A ^a   Anderson, Alexander R A ^a  

^a UNIVERSITY OF DUNDEE   (United Kingdom)

Author keywords

Development of epithelial tumors; Formation of mutant acini; Immersed boundary method; Single cell based model

Indexed keywords

CELL SURFACE RECEPTOR; DEATH RECEPTOR; GROWTH FACTOR RECEPTOR;

ALGORITHM; ANIMAL; APOPTOSIS; ARTICLE; BIOLOGICAL MODEL; BIOMECHANICS; CELL ADHESION; CELL DIVISION; CELL POLARITY; CELL PROLIFERATION; COMPUTER SIMULATION; CYTOLOGY; EPITHELIUM; EPITHELIUM CELL; GROWTH, DEVELOPMENT AND AGING; HUMAN; NEOPLASM; PATHOLOGY; PATHOPHYSIOLOGY; PHYSIOLOGY; TIGHT JUNCTION;

ALGORITHMS; ANIMALS; APOPTOSIS; BIOMECHANICS; CELL ADHESION; CELL DIVISION; CELL POLARITY; CELL PROLIFERATION; COMPUTER SIMULATION; EPITHELIAL CELLS; EPITHELIUM; HUMANS; MODELS, BIOLOGICAL; NEOPLASMS, GLANDULAR AND EPITHELIAL; RECEPTORS, CELL SURFACE; RECEPTORS, DEATH DOMAIN; RECEPTORS, GROWTH FACTOR; TIGHT JUNCTIONS;

EID: 47349093126     PISSN: 00928240     EISSN: 15229602     Source Type: Journal    
DOI: 10.1007/s11538-008-9308-3     Document Type: Article

References (46)

1. B. Alberts A. Johnson J. Lewis M. Raff K. Roberts P. Walter 2002 Molecular Biology of the Cell 4 Garland Science New York
2. A.R.A. Anderson 2005 A hybrid mathematical model of solid tumour invasion: the importance of cell adhesion Math. Med. Biol. 22 163 186
3. A.R.A. Anderson A.M. Weaver P.T. Cummings V. Quaranta 2006 Tumor morphology and phenotypic evolution driven by selective pressure from the microenvironment Cell 127 905 915
4. Anderson, A.R.A., Rejniak, K.A., Gerlee, P., Quaranta, V., 2008. Microenvironment driven invasion: a multiscale multimodel investigation. J. Math. Biol., in print
5. M.J. Ardens A.H. Wyllie 1991 Apoptosis: Mechanisms and roles in pathology Int. Rev. Exp. Path. 32 223 254
6. D.G. Bostwick M.B. Amin P. Dundore W. Marsh D.S. Schultz 1993 Architectural patterns of high-grade prostatic intraepithelial neoplasia Human Pathol. 24 298 310
7. Cancer Research UK, 2008 http://www.cancerresearchuk.org
8. M. Che D. Grignon 2002 Pathology of prostate cancer Cancer Matastasis Rev. 21 381 395
9. J. Debnath J.S. Brugge 2005 Modelling glandular epithelial cancers in three-dimensional cultures Nat. Rev. Cancer 5 675 688
10. J. Debnath K.R. Mills N.L. Collins M.J. Reginato S.K. Muthuswamy J.S. Brugge 2002 The role of apoptosis in creating and maintaining luminal space within normal and oncogene-expressing mammary acini Cell 111 29 40
11. J. Debnath S.J. Walker J.S. Brugge 2003 Akt activation disrupts mammary acini architecture and enhances proliferation in an mTOR-dependent manner J. Cell Biol. 163 315 326
12. D.J.P. Ferguson 1985 Ultrastructural characterisation of the proliferative (stem?) cells within the parenchyma of the normal "resting" breast Virchows Arch. [Pathol. Anat.] 407 379 385
13. D.J.P. Ferguson 1988 An ultrastructural study of mitosis and cytokinesis in normal "resting" human breast Cell Tissue Res. 252 581 587
14. D.J.P. Ferguson T.J. Anderson 1981 Ultrastructural observations on cell death by apoptosis in the "resting" human breast Virchows Arch. [Pathol. Anat.] 393 193 203
15. S.M. Frisch R.A. Screaton 2001 Anoikis mechanisms Curr. Opin. Cell Biol. 13 555 562
16. Gartner, L.P., Hiatt, J.L., Strum, J.M., Cell Biology and Histology, 5th edn. Lippincott Williams & Wilkins, (2007)
17. P. Gerlee A.R.A. Anderson 2007 An evolutionary hybrid cellular automaton model of solid tumour growth J. Theor. Biol. 246 4 583 603
18. J. Grossmann 2002 Molecular mechanisms of "detachment-induced apoptosis-anoikis" Apoptosis 7 247 260
19. C. Hofmann F. Obermeier M. Artinger M. Hausmann W. Falk J. Schoelmerich G. Rogler J. Grossmann 2007 Cell-cell contacts prevent anoikis in primary human colonic epithelial cells Gastroenterology 132 587 600
20. I.J. Latorre M.H. Roh K.K. Frese R.S. Weiss B. Margolis R.T. Javier 2005 Viral oncoprotein-induced mislocalization of select PDZ proteins disrupts tight junctions and causes polarity defects in epithelial cells J. Cell Sci. 118 4283 4293
21. E. Mallon P. Osin N. Nasiri I. Blain B. Howard B. Gusterson 2000 The basic pathology of human breast cancer J. Mammary Gland Biol. Neoplasia 5 139 163
22. K.R. Mills Shaw C.N. Wrobel J.S. Brugge 2004 Use of three-dimensional basement membrane cultures to model oncogene-induced changes in mammary epithelial morphogenesis J. Mammary Gland Biol. Neoplasia 9 297 310
23. J. Muschler D. Levy R. Boudreau M. Henry K. Campbell M.J. Bissell 2002 A role of Dystroglycan in epithelial polarization: loss of function in breast tumour cells Cancer Res. 62 7102 7109
24. S.K. Muthuswamy D. Li S. Lelievre M.J. Bissel J.S. Brugge 2001 ErbB2, but not ErbB1, reinitiates proliferation and induces luminal repopulation in epithelial acini Nat. Cell Biol. 3 785 792
25. W.J. Nelson 2003 Adaptation of core mechanisms to generate cell polarity Nature 422 766 774
26. C.M. Nelson M.J. Bissell 2005 Modeling dynamic reciprocity: Engineering three-dimensional culture models of breast architecture, function, and neoplastic transformation Semin. Cancer Biol. 15 342 352
27. L.E. O'Brien M.M.P. Zegers K.E. Mostov 2002 Building epithelial architecture: insights from three-dimensional culture models Nat. Rev. Mol. Cell Biol. 3 531 537
28. G.K. Ojakian W.J. Nelson K.A. Beck 1997 Mechanisms for de novo biogenesis of an apical membrane compartment in groups of simple epithelial cells surrounded by extracellular matrix J. Cell Sci. 110 2781 2794
29. C.S. Peskin 2002 The immersed boundary method Acta Numer. 11 479 517
30. O.W. Petersen L. Ronnov-Jessen A.R. Howlett M.J. Bissell 1992 Interaction with basement membrane serves to rapidly distinguish growth and differentiation pattern of normal and malignant human breast epithelial cells Proc. Natl. Acad. Sci. USA 89 9064 9068
31. K.A. Rejniak 2005 A single-cell approach in modeling the dynamics of tumor microregions Math. Biosci. Eng. 2 643 655
32. K.A. Rejniak 2007 An immersed boundary framework for modelling the growth of individual cells: an application to the early tumour development J. Theor. Biol. 247 186 204
33. K.A. Rejniak A.R.A. Anderson 2008 A computational study of the development of epithelial acini. I. Sufficient conditions for the formation of a hollow structure Bull. Math. Biol. 70 677 712
34. K.A. Rejniak R.H. Dillon 2007 A single cell based model of the ductal tumor microarchitecture Comput. Math. Methods Med. 8 1 51 69
35. P. Savagner 2001 Leaving the neighborhood: molecular mechanisms involved during epithelial-mesenchymal transition BioEssays 23 912 923
36. K. Shin S. Straight B. Margolis 2005 PATJ regulates tight junction formation and polarity in mammalian epithelial cells J. Cell Biol. 168 705 711
37. S.W. Straight K. Shin V.C. Fogg S. Fan Ch.-J. Liu M. Roh B. Margolis 2004 Loss of PALS1 expression leads to tight junction and polarity defects Mol. Biol. Cell 15 1981 1990
38. F.A. Tavassoli 2001 Ductal intraepithelial neoplasia of the breast Vichrows Arch. 438 221 227
39. J.P. Thiery 2002 Epithelial-mesenchymal transition in tumours progression Nat. Rev. Cancer 2 442 447
40. D.E. Vega-Salas P.J.I. Salas D. Gundersen E. Rodriguez-Boulan 1987 Formation of the apical pole of epithelial (Madin-Darby Canine Kidney) cells: polarity of an apical protein is independent of tight junctions while segregation of a basolateral marker requires cell-cell interactions J. Cell Biol. 104 905 916
41. A.Z. Wang G.K. Ojakian W.J. Nelson 1990 Steps in the morphogenesis of a polarized epithelium I. Uncoupling the roles of cell-cell and cell-substratum contact in establishing plasma membrane polarity in multicellular epithelial (MDCK) cysts J. Cell Sci. 95 137 151
42. S.E. Wang A. Narasanna M. Peres-Torres B. Xiang F.Y. Wu S. Yang G. Carpenter A.F. Gazdar S.K. Muthuswamy C.L. Arteaga 2006 HER2 kinase domain mutation results in constitutive phosphorylation and activation of HER2 and EGFR and resistance to EGFR tyrosine kinase inhibitors Cancer Cell 10 25 28
43. V.M. Weaver O.W. Petersen F. Wang C.A. Larabell P. Briand C. Damsky M.J. Bissell 1997 J. Cell Biol. 137 231 245
44. D.P. Winchester J.M. Jeske R.A. Goldschmidt 2000 The diagnosis and management of ductal carcinoma in situ of the breast CA Cancer J. Clin. 50 184 200
45. W. Xian K.L. Schwertfeger T. Vargo-Gogola J.M. Rosen 2005 Pleitropic effects of FGFR1 on cell proliferation, survival, and migration in a 3D mammary epithelial cell model J. Cell Biol. 171 663 673
46. H. Yamaguchi J. Wyckoff J. Condeelis 2005 Cell migration in tumours Curr. Opin. Cell Biol. 17 559 564