Morphological instability and cancer invasion: A 'splashing water drop' analogy

Theoretical Biology and Medical Modelling

Volumn 4, Issue , 2007, Pages

  Guiot, Caterina ^a   Delsanto, Pier P ^b   Deisboeck, Thomas S ^c  

^a UNIVERSITY OF TURIN   (Italy)

^b POLITECNICO DI TORINO   (Italy)

^c MASSACHUSETTS GENERAL HOSPITAL   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

WATER;

ARTICLE; CANCER INVASION; CARCINOGENICITY; CELL INTERACTION; COMPUTATIONAL FLUID DYNAMICS; MOLECULAR MODEL; PREDICTION; SOLID; SURFACE PROPERTY; THEORETICAL STUDY; TUMOR GROWTH; TUMOR VOLUME; ANIMAL; BIOLOGICAL MODEL; BIOMECHANICS; CELL ADHESION; HUMAN; MATHEMATICS; NEOPLASM; PATHOLOGY; SURFACE TENSION; TUMOR INVASION;

ANIMALS; BIOMECHANICAL PHENOMENA; CELL ADHESION; HUMANS; MATHEMATICS; MODELS, BIOLOGICAL; NEOPLASM INVASIVENESS; NEOPLASMS; SURFACE TENSION;

EID: 33846878052     PISSN: None     EISSN: 17424682     Source Type: Journal    
DOI: 10.1186/1742-4682-4-4     Document Type: Article

References (34)

1. The hallmarks of cancer. D Hanahan RA Weinberg, Cell 2000 100 57 70 10.1016/S0092-8674(00)81683-9 10647931
2. Matrix metalloproteinases and tissue inhibitors of metalloproteinases in human gliomas. A Nakano E Tani K Miyazaki Y Yamamoto J Furuyama, J Neurosurg 1995 83 298 307 7616276
3. The pathogenesis of cancer metastasis: the 'seed and soil' hypothesis revisited. IJ Fidler, Nat Rev Cancer 2003 3 453 458 10.1038/nrc1098 12778135
4. Influence of the microenvironment on melanoma cell fate determination and phenotype. L-M Postovit EA Seftor REB Seftor MJC Hendrix, Cancer Res 2006 66 7833 7836 10.1158/0008-5472.CAN-06-0731 16912153
5. Morphologic instability and cancer invasion. V Cristini HB Frieboes R Gatenby S Caserta M Ferrari J Sinek, Clin Cancer Res 2005 11 6772 6779 10.1158/1078-0432.CCR-05-0852 16203763
6. New signals from the invasive front. G Christofori, Nature 2006 441 444 450 10.1038/nature04872 16724056
7. Nonlinear simulation of tumor growth. V Cristini J Lowengrub Q Nie, J Math Biol 2003 46 191 224 10.1007/s00285-002-0174-6 12728333
8. An integrated computational/experimental model of tumor invasion. HB Frieboes X Zheng C Sun B Tromberg R Gatenby V Cristini, Cancer Res 2006 66 1597 1604 10.1158/0008-5472.CAN-05-3166 16452218
9. A hybrid mathematical model of solid tumour invasion: the importance of cell adhesion. AR Anderson, Math Med Biol 2005 22 163 186 10.1093/imammb/dqi005 15781426
10. Dynamics of a liquid lamella resulting from the impact of a water drop on a small target. A Rozhkov B Prunet-Foch M Vignes-Adler, Proc R Soc Lond A 2004 460 2681 2704
11. Experimental investigation of splash and crown formation during single drop impact on wetted surfaces. R Rioboo C Bauthier J Conti M Voue J De Coninck, Exp in Fluids 2003 35 648 652 10.1007/s00348-003-0719-5
12. Drop impact dynamics: Splashing, spreading, receding, bouncing. AL Yarin, Ann Rev Fluid Mech 2006 38 159 192 10.1146/annurev.fluid.38.050304.092144
13. Implantation of C6 astrocytoma spheroid into collagen type I gels: invasive, proliferative, and enzymatic characterizations. M Tamaki W McDonald VR Amberger E Moore RF Del Maestro, J Neurosurg 1997 87 602 609 9322849
14. The combined influence of a rough surface and thin fluid film upon the splashing threshold and splash dynamics of a droplet impacting onto them. RL Vander Wal GM Berger SD Mozes, Exp in Fluids 2006 40 53 59
15. Modeling the splash of a droplet impacting a solid surface. M Bussmann S Chandra J Mostaghimi, Phys Fluids 2000 12 3123 3132 10.1063/1.1321258
16. Pattern of self-organization in tumour systems: complex growth dynamics in a novel brain tumour spheroid model. TS Deisboeck ME Berens AR Kansal S Torquato AO Stemmer-Rachamimov EA Chiocca, Cell Prolif 2001 34 115 134 10.1046/j.1365-2184.2001.00202.x 11348426
17. Insights from a novel tumor model: Indications for a quantitative link between tumor growth and invasion. TS Deisboeck Y Mansury C Guiot PG Degiorgis PP Delsanto, Med Hypotheses 2005 65 785 790 10.1016/j.mehy.2005.04.014 15961253
18. Biophysical measurements of brain tumor cohesion. BS Winters SR Shepard RA Foty, Int J Cancer 2005 114 371 379 10.1002/ijc.20722 15551307
19. On the growth and stability of cell cultures and solid tumours. HP Greenspan, J theor Biol 1976 56 229 242 10.1016/S0022-5193(76)80054-9 1263527
20. The importance of intercellular adhesion in the development of carcinomas. HM Byrne, IMA J Math Appl Med Biol 1997 14 305 323 9415997
21. Modelling the growth of solid tumours and incorporating a method for their classification using nonlinear elasticity theory. MAJ Chaplain BD Sleeman, J Math Biol 1993 31 431 473 10.1007/BF00173886 8336083
22. Tensional homeostasis and the malignant phenotype. MJ Paszek N Zahir KR Johnson JN Lakins GI Rozenberg A Gefen CA Reinhart-King SS Margulies M Dembo D Boettiger DA Hammer VM Weaver, Cancer Cell 2005 8 241 254 10.1016/j.ccr.2005.08. 010 16169468
23. Cell type-specific response to growth on soft materials. PC Georges PA Janmey, J Appl Physiol 2005 98 1547 1553 10.1152/japplphysiol.01121.2004 15772065
24. Glioma expansion in collagen I matrices: analyzing collagen concentration-dependent growth and motility patterns. LJ Kaufman CP Brangwynne KE Kasza E Filippidi VD Gordon TS Deisboeck DA Weitz, Biophys J 2005 89 1 635 650 15849239 10.1529/biophysj.105.061994
25. Solid stress inhibits the growth of multicellular tumor spheroids. G Helmlinger PA Netti HC Lichtenbeld RJ Melder RK Jain, Nat Biotechnol 1997 15 778 783 10.1038/nbt0897-778 9255794
26. The influence of growth-induced stress from the surrounding medium on the development of multicell spheroid. CY Chen HM Byrne JR King, J Math Biol 2001 43 191 220 10.1007/s002850100091 11681526
27. Solid stress generated by spheroid growth estimated using a linear poroelasticity model. T Roose PA Netti LL Munn Y Boucher RK Jain, Microvasc Res 2003 66 204 212 10.1016/S0026-2862(03)00057-8 14609526
28. Suppression of prostate cancer invasive potential and matrix metalloproteinase activity by E-cadherin transfection. J Luo DM Lubaroff MJC Hendrix, Cancer Res 1999 59 3552 3665 10446959
29. E-cadherin suppression accelerates squamous cell carcinoma progression in three-dimensional, human tissue constructs. A Margulis W Zhang A Alt-Holland HC Crawford NE Fusenig JA Garlick, Cancer Res 2005 65 1783 1791 10.1158/0008-5472.CAN-04-3399 15753375
30. Patterns of care for adults with newly diagnosed malignant glioma. SM Chang IF Parney W Huang FA Anderson Jr AL Asher M Bernstein KO Lillehei H Brem MS Berger ER Laws, JAMA 2005 293 557 564 10.1001/jama.293.5.557 15687310
31. Pressure activates colon cancer cell adhesion by insight-out focal adhesion complex and actin cytoskeleton signalling. V Thamilselvan MD Basson, Gastroenterology 2004 126 8 18 10.1053/j.gastro.2003.10.078 14699482
32. The role of the cytoskeleton in differentially regulating pressure-mediated effects on malignant colonocyte focal adhesion signalling and cell adhesion. V Thamilselvan MD Basson, Carcinogenesis 2005 26 1687 1679 10.1093/carcin/bgi135 15917311
33. Complex dynamics of tumors: modeling an emerging brain tumor system with coupled reaction-diffusion equations. S Habib C Molina-Paris TS Deisboeck, Physica A 2003 327 501 524 10.1016/S0378-4371(03)00391-1
34. Adam Hart-Davis/DHD Multimedia Gallery. http://gallery.hd.org/index. jsp<