Table of Contents Author Guidelines Submit a Manuscript
Journal of Applied Mathematics
Volume 2011, Article ID 190371, 8 pages
http://dx.doi.org/10.1155/2011/190371
Research Article

Numerical Simulation of Solid Tumor Blood Perfusion and Drug Delivery during the “Vascular Normalization Window” with Antiangiogenic Therapy

1Department of Mechanics and Engineering Science, Fudan University, Shanghai 200433, China
2Brunel Institute for Bioengineering, Brunel University, Middlesex, Uxbridge UB8 3PH, UK

Received 19 January 2011; Revised 1 March 2011; Accepted 31 March 2011

Academic Editor: Jürgen Geiser

Copyright © 2011 Jie Lv et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. J. Folkman, “Therapeutic implications,” New England Journal of Medicine, vol. 285, no. 21, pp. 1182–1186, 1971. View at Publisher · View at Google Scholar · View at Scopus
  2. R. K. Jain, “Normalization of tumor vasculature: an emerging concept in antiangiogenic therapy,” Science, vol. 307, no. 5706, pp. 58–62, 2005. View at Publisher · View at Google Scholar · View at Scopus
  3. R. K. Jain, “Molecular regulation of vessel maturation,” Nature Medicine, vol. 9, no. 6, pp. 685–693, 2003. View at Publisher · View at Google Scholar · View at Scopus
  4. R. K. Jain, “Barriers to drug delivery in solid tumors,” Scientific American, vol. 271, no. 1, pp. 58–65, 1994. View at Google Scholar · View at Scopus
  5. A. L. Harris, “Hypoxia: a key regulatory factor in tumor growth,” Nature Reviews Cancer, vol. 2, no. 1, pp. 38–47, 2002. View at Publisher · View at Google Scholar · View at Scopus
  6. G. Helmlinger, F. Yuan, M. Dellian, and R. K. Jain, “Interstitial pH and pO2 gradients in solid tumors in vivo: high-resolution measurements reveal a lack of correlation,” Nature Medicine, vol. 3, no. 2, pp. 177–182, 1997. View at Publisher · View at Google Scholar · View at Scopus
  7. J. L. Tatum et al., “Hypoxia: importance in tumor bioglogy, noninvasive measurement by imaging, and value of its measurement in the management of cancer therapy,” International Journal of Radiation Biology, vol. 82, no. 10, pp. 699–757, 2006. View at Publisher · View at Google Scholar · View at Scopus
  8. R. K. Jain, R. T. Tong, and L. L. Munn, “Effect of vascular normalization by antiangiogenic therapy on interstitial hypertension, peritumor edema, and lymphatic metastasis: insights from a mathematical model,” Cancer Research, vol. 67, no. 6, pp. 2729–2735, 2007. View at Publisher · View at Google Scholar · View at Scopus
  9. S. R. McDougall, A. R. A. Anderson, M. A. J. Chaplain et al., “Mathematical modeling of flow through vascular network: implications for tumor-induced angiogenesis and chemotherapy strategies,” Bulletin of Mathematical Biology, vol. 64, pp. 673–702, 2002. View at Publisher · View at Google Scholar
  10. D. Tee and J. DiStefano III, “Simulation of tumor-induced angiogenesis and its response to anti-angiogenic drug treatment: mode of drug delivery and clearance rate dependencies,” Journal of Cancer Research and Clinical Oncology, vol. 130, no. 1, pp. 15–24, 2004. View at Publisher · View at Google Scholar · View at Scopus
  11. Z. Gaiping, G. Hao, W. Jie et al., “2D numerical simulation of effect of antiangiogenic factors Angiostatin and Endostatin on tumor-induced angiogenesis,” Journal of Medical Biomechanics, vol. 21, no. 4, pp. 272–279, 2006. View at Google Scholar
  12. J. Wu, Q. Long, S. Xu, and A. R. Oadhani, “Study of tumor blood perfusion and its variation due to vascular normalization by anti-angiogenic therapy based on 3D angiogenic microvasculature,” Journal of Biomechanics, vol. 42, no. 6, pp. 712–721, 2009. View at Publisher · View at Google Scholar · View at Scopus
  13. B. Rippe and B. Haraldsson, “Capillary permeability in rat hindquaters as determined by estimations of capillary reflection coefficients,” Acta Physiologica Scandinavica, vol. 127, no. 3, pp. 289–303, 1986. View at Publisher · View at Google Scholar · View at Scopus
  14. J. A. Tyrrell, V. Mahadevan, R. T. Tong, E. B. Brown, R. K. Jain, and B. Roysam, “A 2-D/3-D model-based method to quantify the complexity of microvasculature imaged by in vivo multiphoton microscopy,” Microvascular Research, vol. 70, no. 3, pp. 165–178, 2005. View at Publisher · View at Google Scholar · View at Scopus
  15. R. T. Tong, Y. Boucher, S. V. Kozin et al., “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, vol. 64, pp. 3731–3737, 2004. View at Publisher · View at Google Scholar
  16. C. Jinfeng, L. Jie, Z. Hongyi et al., “Research on the effect of microenvironment of tumor blood perfusion under anti-angiogenesis therapy,” Progress in Biomedical Engineering, vol. 3, pp. 125–130, 2010 (Chinese). View at Google Scholar
  17. R. K. Jain, “Determinants of tumor blood flow: a review,” Cancer Research, vol. 48, no. 10, pp. 2641–2658, 1988. View at Google Scholar · View at Scopus
  18. O. Kedem and A. Katchalsky, “Thermodynamic analysis of permeability of biological membranes to non-electrolytes,” Biochimica et Biophysica Acta, vol. 27, no. C, pp. 229–246, 1958. View at Publisher · View at Google Scholar · View at Scopus
  19. L. T. Baxter and R. K. Jain, “Transport of fluid and macromolecules in tumors. I. Role of interstitial pressure and convection,” Microvascular Research, vol. 37, no. 1, pp. 77–104, 1989. View at Publisher · View at Google Scholar · View at Scopus
  20. L. T. Baxter and R. K. Jain, “Transport of fluid and macromolecules in tumors. II. Role of heterogeneous perfusion and lymphatics,” Microvascular Research, vol. 40, pp. 246–263, 1990. View at Publisher · View at Google Scholar
  21. L. T. Baxter and R. K. Jain, “Transport of fluid and macromolecules in tumors. III. Role of binding and metabolism,” Microvascular Research, vol. 41, no. 1, pp. 5–23, 1991. View at Publisher · View at Google Scholar · View at Scopus