Skip to main content

Time Changes in the VEGF-A Concentration Gradient Lead Neovasculature to Engage in Stair-Like Growth

  • Conference paper
  • First Online:
Methods of Mathematical Oncology (MMDS 2020)

Abstract

Arteriovenous malformations consist of tangles of arteries and veins that are often connected by a fistula. The causes of and mechanisms underlying the development of these clinical entities are not fully understood. We previously reported a novel in vivo angiogenesis model as a useful disease model of arteriovenous malformation. With this model, the arterial graft was collected from the left carotid artery and sutured to the left jugular vein as a patchwork. The neovasculature extended from the branch of the subclavian artery toward the arterial graft. We measured the neovasculature, which had sprouted from arterioles, in the tissue samples. In the present study, we collected the arterial patch graft and adipose tissue surrounding the arterial graft and examined the distribution of the VEGF concentration by an enzyme-linked immunosorbent assay. At the area most distant from the arterial graft, the VEGF-A concentration changed over time in a sine wave pattern that gradually attenuated. A mathematical model was then constructed using the results, and a mathematical simulation of the neovasculature growth was performed. The new vessels grew in a stair-like pattern in this simulation, a result that matched those obtained through histological measurements.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 149.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 199.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 199.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Ferrara, N.: VEGF and the quest for tumour angiogenesis factors. Nat. Rev. Cancer 2, 795–803 (2002)

    Article  Google Scholar 

  2. Ferrara, N., Gerber, H.P., LeCouter, J.: The biology of VEGF and its receptors. Nat. Med. 9, 669–676 (2003)

    Article  Google Scholar 

  3. Yancopoulos, G.D., et al.: Vascular-specific growth factors and blood vessel formation. Nature 407, 242–248 (2000)

    Article  Google Scholar 

  4. Ferrara, N.: Vascular endothelial growth factor: basic science and clinical progress. Endocr. Rev. 25, 581–611 (2004)

    Article  Google Scholar 

  5. Claesson-Welsh, L., Welsh, M.: VEGFA and tumour angiogenesis. J. Intern. Med. 273, 114–127 (2013)

    Article  Google Scholar 

  6. Anderson, A.R., Chaplain, M.A.: Continuous and discrete mathematical models of tumor-induced angiogenesis. Bull. Math. Biol. 60, 857–899 (1998)

    Article  Google Scholar 

  7. Ito, Y., et al.: Neovasculature can be induced by patching an arterial graft into a vein: a novel in vivo model of spontaneous arteriovenous fistula formation. Sci. Rep. 8, 3156 (2018)

    Article  Google Scholar 

  8. Nakajima, A., Ishihara, S., Imoto, D., Sawai, S.: Rectified directional sensing in long-range cell migration. Nat. Commun. 5, 5367 (2014)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yukinobu Ito .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2021 Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Ito, Y., Minerva, D., Tasaki, S., Yoshida, M., Suzuki, T., Goto, A. (2021). Time Changes in the VEGF-A Concentration Gradient Lead Neovasculature to Engage in Stair-Like Growth. In: Suzuki, T., Poignard, C., Chaplain, M., Quaranta, V. (eds) Methods of Mathematical Oncology. MMDS 2020. Springer Proceedings in Mathematics & Statistics, vol 370. Springer, Singapore. https://doi.org/10.1007/978-981-16-4866-3_15

Download citation

Publish with us

Policies and ethics