SpringerLink
Log in

Numerical Simulation of Hemodynamics in the Host Blood Vessel and Microvascular Network Generated From Tumor-Induced Angiogenesis

  • Published:
Journal of Hydrodynamics Aims and scope Submit manuscript

Abstract

Numerical simulation of hemodynamics under the combined effects of both the host blood vessel and the microvascular network, which is based on a 2-D tumor inside and outside vascular network generated from a discrete mathematical model of tumor-induced angiogenesis, is performed systemically. And a “microvascular network—transport across microvascular network—flow in interstitium” model is developed to study the flow in solid tumor. Simulations are carried out to examine the effects of the variations of the inlet Reynolds number in the host blood vessel, the hydraulic conductivity of the microvascular wall, and interstitial hydraulic conductivity coefficient on the fluid flow in tumor microcirculation. The results are consistent with data obtained in terms of physiology. These results may provide some theoretical references and the bases for further clinical experimental research.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price includes VAT (Germany)

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. NATALIE S., LARSEN I. Angiogenesis research yields new approaches to cancer treatment and prognosis [J]. J. National Cancer Institute, 1993, 85: 1629–1630.

    Article  Google Scholar 

  2. FOLKMAN J. Tumor angiogenesis [J]. Adv. Cancer Res., 1974, 19: 331–358.

    Article  Google Scholar 

  3. FOLKMAN J., KLAGSBRUN M. Angiogenic factors [J]. Science, 1987, 235:442–447.

    Article  Google Scholar 

  4. JAIN R. K. Delivery of molecular and cellular medicine to solid tumors [J]. Advanced Drug Delivery Reviews, 2001, 46: 149–168.

    Article  Google Scholar 

  5. NETTI P. A., ROBERGE S., BOUCHER Y. et al. Effect of transvascular fluid exchange on pressure-flow relationship in tumors: A proposed mechanism for tumor blood flow heterogeneity [J]. Microvascular Research, 1996, 52: 27–46.

    Article  Google Scholar 

  6. BEARD D. A., BASSINGTHWAIGHTE J. B. Modeling advection and diffusion of oxygen in complex vascular networks [J]. Annals of Biomedical Engineering, 2001, 29: 298–310.

    Article  Google Scholar 

  7. BAISH J. W., GAZIT Y., BERK D. A. et al. Role of tumor vascular architecture in nutrient and drug delivery: An invasion percolation-based network model [J]. Microvascular Research, 1996, 51: 327–346.

    Article  Google Scholar 

  8. ANDERSON A. R. A., CHAPLAIN M. A. J. Continuous and discrete mathematical models of tumor-induced angiogenesis [J]. Bulletin of Mathematical Biology, 1998, 60: 857–899.

    Article  Google Scholar 

  9. MCDOUGALL S. R. M., ANDERSON A. R. A., CHAPLAIN M. A. J. Mathematical modeling of flow through vascular network: Implication for tumor-induced angiogenesis and chemotherapy strategies [J]. Bulletin of Mathematical Biology, 2002, 64: 673–702.

    Article  Google Scholar 

  10. STEPHANOU A., MCDOUGALL S. R., ANDERSON A. R. A. et al. Mathematical modeling of flow on 2D and 3D vascular networks: Applications to anti-angiogenic and chemotherapeutic drug strategies [J]. Mathematical and Computer Modeling, 2005, 41: 1137–1156.

    Article  Google Scholar 

  11. GAO Hao, XU Shi-xiong, CAI Ying et al. Numerical simulation of tumor-induced angiogenesis in and out of tumor incorporating mechanical effects[J]. Journal of Medical Biomechanics, 2006, 21(3): 1–7. (in Chinese)

    Google Scholar 

  12. WU Jie, XU Shi-xiong, ZHAO Gai-** et al. 3D numerical simulation of hemodynamics in solid tumor[J]. Journal of Medical Biomechanics, 2006, 21(1): 8–13. (in Chinese)

    Article  Google Scholar 

  13. ZHAO Gai-**, XU Shi-xiong, WU Jie et al. 2D boundary element simulations of the effect of anisotropic hydraulic conductivity coefficient on interstitial fluid flow in solid tumor[J]. Journal of Medical Biomechanics, 2006, 21(1): 14–19. (in Chinese)

    Google Scholar 

  14. KUSZYK B. S., CORL F. M., FRANANO F. N. et al. Tumor transport physiology: Implications for imaging and imaging-guided therapy [J]. American Journal of Radiology, 2001, 177: 747–753.

    Google Scholar 

  15. NETTI P. A., BAXTER L. T., BOUCHER Y. et al. Macro- and microscopic fluid transport in living tissues: Application to solid tumors [J]. AICHE Journal, 1997, 43(3): 817–834.

    Article  Google Scholar 

  16. BAXTER L. T., JAIN R. K. Transport of fluid and macromolecules in tumors I, Role of interstitial pressure and convection [J]. Microvascular Research, 1989, 37:77–104.

    Article  Google Scholar 

  17. BAXTER L. T., JAIN R. K. Transport of fluid and macromolecules in tumors II, Role of heterogeneous perfusion and lymphatics [J]. Microvascular Research, 1990, 40: 246–263.

    Article  Google Scholar 

  18. XU Shi-xiong, WANG Qing-wei. Effect of heterogeneous blood perfusion on fluid flow in solid tumor [J]. Journal of Hydrodynamics, Ser. A, 2004, 19(1): 46–52. (in Chinese)

    Google Scholar 

  19. QIN Kai-rong, XU Zhe, WU Hao et al. Synergy of wall shear stress and circumferential stress in straight arteries [J]. Journal of Hydrodynamics, Ser. B, 2005, 17(6): 752–757.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mechanics and Engineering Science, Fudan University, Shanghai, 200433, China

    Gai-** Zhao, Jie Wu & Shi-xiong Xu

  2. Brunel Institute for Bioengineering, School of Engineering and Design, Brunel University, Uxbridge, Middlesex, UB8 3PH, UK

    M. W. Collins

  3. Department of Neurology, Huashan Hospital, Fudan University, Shanghai, 200040, China

    Yu-** Jiang & Jian Wang

Authors
  1. Gai-** Zhao
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Jie Wu
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Shi-xiong Xu
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. M. W. Collins
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Yu-** Jiang
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. Jian Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Gai-** Zhao.

Additional information

Project supported by the National Natural Science Foundation of China (Grant No:10372026).

Biography: ZHAO Gai-**(1975-), Female, Ph. D.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhao, Gp., Wu, J., Xu, Sx. et al. Numerical Simulation of Hemodynamics in the Host Blood Vessel and Microvascular Network Generated From Tumor-Induced Angiogenesis. J Hydrodyn 18, 727–735 (2006). https://doi.org/10.1016/S1001-6058(07)60013-4

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1016/S1001-6058(07)60013-4

Key Words

Search

Navigation