Modeling tumor cell shedding

European Biophysics Journal

Volumn 38, Issue 4, 2009, Pages 479-485

  Menchon S A ^a   Condat, C A ^a  

^a UNIVERSIDAD NACIONAL DE CÓRDOBA   (Argentina)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CELL ADHESION; COMPUTER SIMULATION; MODELS, BIOLOGICAL; NEOPLASM INVASIVENESS; NEOPLASM METASTASIS; NEOPLASMS; PROBABILITY; SPHEROIDS, CELLULAR;

EID: 62949176971     PISSN: 01757571     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00249-008-0398-5     Document Type: Article

References (31)

1. A Brú S Albertos JL Subiza J López García-Asenjo I Brú 2003 The universal dynamics of tumor growth Biophys J 85 2948 2961
2. JJ Casciari SV Sotirchos RM Sutherland 1988 Glucose diffusivity in multicellular tumor spheroids Cancer Res 48 3905 3909
3. B Capogrosso-Sansone PP Delsanto M Magnano M Scalerandi 2001 Effects of anatomical constraints on tumor growth Phys Rev E 64 021903
4. Chaplain M, Matzavinos A (2006) Tutorials in mathematical biosciences III: cell cycle, proliferation, and cancer. In: Mathematical modeling of spatio-temporal phenomena in tumor immunology. Springer, New York, pp 131-186
5. CA Condat B Capogrosso-Sansone PP Delsanto M Scalerandi 2001 Modeling cancer growth Recent Res Dev Biophys Chem 2 53 69
6. V Cristini H Frieboes R Gatenby S Caserta M Ferrari J Sinek 2005 Morphologic instability and cancer invasion Clin Cancer Res 11 6772 6779
7. PP Delsanto A Romano M Scalerandi GP Pescarmona 2000 Analysis of a "phase transition" from tumor growth to latency Phys Rev E 62 2547 2554
8. D Drasdo S Höhme 2005 A single-cell-based model of tumor growth in vitro: monolayers and spheroids Phys Biol 2 133 147
9. J Fang M Sullivan TF McCutchan 2004 The effects of glucose concentration on the reciprocal regulation of rrna promoters in plasmodium falciparum J Biol Chem 279 720 725
10. JP Freyer RM Sutherland 1985 A reduction in the in situ rate of oxygen and glucose consumption of cells on emt6/ro spheroid during growth J Cell Physiol 124 516 524
11. JP Freyer RM Sutherland 1986 Proliferative and clonogenic heterogeneity of cells from emt6/ro multicellular spheroids induced by the glucose and oxygen supply Cancer Res 46 3513 3520
12. JP Freyer RM Sutherland 1986 Regulation of growth saturation and development of necrosis in emt6/ro multicellular spheroids by the glucose and oxygen supply Cancer Res 46 3504 3512
13. HB Frieboes X Zheng C-H Sun B Tromberg R Gatenby V Cristini 2006 An integrated computational/experimental model of tumor invasion Cancer Res 66 1597 1604
14. HP Greenspan 1972 Models for the growth of a solid tumor by diffusion Stud Appl Math 52 317 340
15. HP Greenspan 1976 On the growth and stability of cell cultures and solid tumors J Theor Biol 56 229 242
16. S Günther C Ruhe MG Derikito G Böse H Sauer M Wartemberg 2007 Polyphenols prevent cell shedding from mouse mammary cancer spheroids and inhibit cancer cell invasion in confrontation cultures derived from embrionic stem cells Cancer Lett 250 25 35
17. G Hamilton 1998 Multicellular spheroids as an in vitro tumor model Cancer Lett 131 29 34
18. Y Jiang J Pjesivac-Grbovic C Cantrell JP Freyer 2005 A multiscale model for avascular tumor growth Biophys J 89 3884 3894
19. LJ Kaufman CP Brangwynne KE Kasza E Filippidi VD Gordon TS Deisboeck DA Weitz 2005 Glioma expansion in collagen i matrices: analyzing collagen concentration-dependent growth and motility patterns Biophys J 89 635 650
20. AC Kole BEC Plaat HJ Hoekstra WM Vaalburg W Molenaar 1999 Fdg and l-[1-11c]-tyrosine imaging of soft-tissue tumors before and after therapy J Nucl Med 40 381 386
21. JM Landry EM Lord RM Sutherland 1982 In vivo growth of tumor cell spheroids after in vitro hyperthermia Cancer Res 42 93 99
22. SA Menchón CA Condat 2008 Cancer growth: predictions of a realistic model Phys Rev E 78 022901
23. SA Menchón RA Ramos CA Condat 2007 Modeling subspecies and the tumor-immune system interaction: steps toward understanding therapy Physica A 386 713 719
24. W Mueller-Klieser 2000 Tumor biology and experimental therapeutics Crit Rev in Oncol Hematol 36 123 139
25. JD Nagy 2005 The ecology and evolutionary biology of cancer: a review of mathematical models of necrosis and tumor cell diversity Math Biosci Eng 2 381 418
26. M Scalerandi A Romano GP Pescarmona PP Delsanto CA Condat 1999 Nutrient competition as a determinant for cancer growth Phys Rev E 59 2206 2217
27. M Scalerandi B Capogrosso-Sansone C Benati CA Condat 2002 Competition effects in the dynamics of tumor cords Phys Rev E 65 051918
28. AM Stein T Demuth D Mobley M Berens LM Sander 2007 A mathematical model of glioblastoma tumor spheroid invasion in a three-dimensional in vitro experiment Biophys J 92 356 365
29. Swanson KR, Bridge C, Murray JD, E.C. Alvord J (2003) Virtual and real brain tumors: Using mathematical modeling to quantify glioma growth and invasion. J Neurol Sci 216(1):1-10
30. K Wolf I Mazo H Leung K Engelke UH von Andrian EI Deryugina AY Strongin EB Bröcker P Friedl 2003 Compensation mechanism in tumor cell migration: mesenchymal-amoeboid transition after blocking of pericellular proteolysis J Cell Biol 160 267 277
31. JB Wyckoff JE Segall JS Condeelis 2000 The collection of the motile population of cells from a living tumor Cancer Res 60 5401 5404