Mathematical model of the effect of interstitial fluid pressure on angiogenic behavior in solid tumors

Computational and Mathematical Methods in Medicine

Volumn 2011, Issue , 2011, Pages

  Phipps, Colin ^a   Kohandel, Mohammad ^a,b  

^a UNIVERSITY OF WATERLOO   (Canada)

^b FIELDS INSTITUTE   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFUSION IN LIQUIDS; PHYSIOLOGICAL MODELS; TUMORS;

ANGIOGENIC GROWTH FACTORS; ANTI-ANGIOGENIC THERAPY; DESTABILIZING EFFECT; INTERSTITIAL FLUID PRESSURES; INTERSTITIAL FLUIDS; MODE OF TRANSPORT; PHYSIOLOGICAL PARAMETERS; TUMOR ANGIOGENESIS;

TRANSPORT PROPERTIES;

ANGIOGENESIS INHIBITOR; ANGIOGENIC FACTOR; OXYGEN; SIGNAL PEPTIDE;

ANGIOGENESIS; ARTICLE; CONTROLLED STUDY; DEGRADATION; DIFFUSION; INTERSTITIAL FLUID; MATHEMATICAL MODEL; MOLECULAR SIZE; SOLID TUMOR; TISSUE PRESSURE; BIOLOGY; CHEMISTRY; DISEASE COURSE; EXTRACELLULAR FLUID; HUMAN; METABOLISM; METHODOLOGY; MOLECULAR WEIGHT; NEOPLASM; NEOVASCULARIZATION (PATHOLOGY); PATHOLOGY; PERMEABILITY; PRESSURE; STATISTICAL MODEL; THEORETICAL MODEL;

ANGIOGENESIS INHIBITORS; COMPUTATIONAL BIOLOGY; DIFFUSION; DISEASE PROGRESSION; EXTRACELLULAR FLUID; HUMANS; INTERCELLULAR SIGNALING PEPTIDES AND PROTEINS; MODELS, STATISTICAL; MODELS, THEORETICAL; MOLECULAR WEIGHT; NEOPLASMS; NEOVASCULARIZATION, PATHOLOGIC; OXYGEN; PERMEABILITY; PRESSURE;

EID: 81555218606     PISSN: 1748670X     EISSN: 17486718     Source Type: Journal    
DOI: 10.1155/2011/843765     Document Type: Article

References (25)

1. Carmeliet P., Jain R. K., Angiogenesis in cancer and other diseases Nature 2000 407 6801 249 257
2. Jain R. K., Normalization of tumor vasculature: an emerging concept in antiangiogenic therapy Science 2005 307 5706 58 62 (Pubitemid 40093472)
3. Fukumura D., Jain R. K., Tumor microenvironment abnormalities: causes, consequences, and strategies to normalize Journal of Cellular Biochemistry 2007 101 4 937 949 (Pubitemid 47040874)
4. Fukumura D., Xu L., Chen Y., Gohongi T., Seed B., Jain R. K., Hypoxia and acidosis independently up-regulate vascular endothelial growth factor transcription in brain tumors in vivo Cancer Research 2001 61 16 6020 6024 (Pubitemid 32762531)
5. D'Arcangelo D., Facchiano F., Barlucchi L. M., Acidosis inhibits endothelial cell apoptosis and function and induces basic fibroblast growth factor and vascular endothelial growth factor expression Circulation Research 2000 86 3 312 318 (Pubitemid 30108825)
6. Bellocq A., Suberville S., Philippe C., Low environmental pH is responsible for the induction of nitric-oxide synthase in macrophages: Evidence for involvement of nuclear factor- B activation Journal of Biological Chemistry 1998 273 9 5086 5092 (Pubitemid 28108668)
7. Heldin C. H., Rubin K., Pietras K., Ostman A., High interstitial fluid pressurean obstacle in cancer therapy Nature Reviews Cancer 2004 4 10 806 813 (Pubitemid 39331152)
8. Tong R. T., Boucher Y., Kozin S. V., Winkler F., Hicklin D. J., Jain R. K., Vascular normalization by vascular endothelial growth factor receptor 2 blockade induces a pressure gradient across the vasculature and improves drug penetration in tumors Cancer Research 2004 64 11 3731 3736 (Pubitemid 38697278)
9. Baxter L. T., Jain R. K., Transport of fluid and macromolecules in tumors. I. Role of interstitial pressure and convection Microvascular Research 1989 37 1 77 104 (Pubitemid 19045527)
10. Jain R. K., Tong R. T., Munn L. L., Effect of vascular normalization by antiangiogenic therapy on interstitial hypertension, peritumor edema, and lymphatic metastasis: insights from a mathematical model Cancer Research 2007 67 6 2729 2735 (Pubitemid 46548961)
11. Ramanujan S., Koenig G. C., Padera T. P., Stoll B. R., Jain R. K., Local imbalance of proangiogenic and antiangiogenic factors: a potential mechanism of focal necrosis and dormancy in tumors Cancer Research 2000 60 5 1442 1448 (Pubitemid 30152019)
12. Helm C. L. E., Fleury M. E., Zisch A. H., Boschetti F., Swartz M. A., Synergy between interstitial flow and VEGF directs capillary morphogenesis in vitro through a gradient amplification mechanism Proceedings of the National Academy of Sciences of the United States of America 2005 102 44 15779 15784 (Pubitemid 41552819)
13. Ferrara N., Henzel W. J., Pituitary follicular cells secrete a novel herapin-binding growth factor specific for vascular endothelial cells Biochemical and Biophysical Research Communications 1989 161 2 851 858 (Pubitemid 19162712)
14. Ornitz D. M., Itoh N., Fibroblast growth factors Genome Biology 2001 2 3 1 12
15. Rastinejad F., Polverini P. J., Bouck N. P., Regulation of the activity of a new inhibitor of angiogenesis by a cancer suppressor gene Cell 1989 56 3 345 355 (Pubitemid 19052652)
16. O'Reilly M. S., Holmgren L., Shing Y., Angiostatin: a novel angiogenesis inhibitor that mediates the suppression of metastases by a Lewis lung carcinoma Cell 1994 79 2 315 328 (Pubitemid 24324921)
17. O'Reilly M. S., Boehm T., Shing Y., Endostatin: an endogenous inhibitor of angiogenesis and tumor growth Cell 1997 88 2 277 285 (Pubitemid 28015876)
18. Hahnfeldt P., Panigrahy D., Folkman J., Hlatky L., Tumor development under angiogenic signaling: a dynamical theory of tumor growth, treatment response, and postvascular dormancy Cancer Research 1999 59 19 4770 4775 (Pubitemid 29472873)
19. Swabb E. A., Wei J., Gullino P. M., Diffusion and convection in normal and neoplastic tissues Cancer Research 1974 34 10 2814 2822
20. Jain R. K., Baxter L. T., Mechanisms of heterogeneous distribution of monoclonal antibodies and other macromolecules in tumors: significance of elevated interstitial pressure Cancer Research 1988 48 24 I 7022 7032 (Pubitemid 19013976)
21. Truskey G. A., Yuan F., Katz D. F., Transport Phenomena in Biological Systems 2004 Upper Saddle River, NJ, USA Prentice Hall
22. Stoll B. R., Migliorini C., Kadambi A., Munn L. L., Jain R. K., A mathematical model of the contribution of endothelial progenitor cells to angiogenesis in tumors: implications for antiangiogenic therapy Blood 2003 102 7 2555 2561 (Pubitemid 37193595)
23. Jain R. K., Determinants of tumor blood flow: a review Cancer Research 1988 48 10 2641 2658
24. Chang Y. S., Munn L. L., Hillsley M. V., Effect of vascular endothelial growth factor on cultured endothelial cell monolayer transport properties Microvascular Research 2000 59 2 265 277 (Pubitemid 30140301)
25. Endrich B., Reinhold H. S., Gross J. F., Intaglietta M., Tissue perfusion inhomogeneity during early tumor growth in rats Journal of the National Cancer Institute 1979 62 2 387 395 (Pubitemid 9094732)