Modelling the impact of pericyte migration and coverage of vessels on the efficacy of vascular disrupting agents

Mathematical Modelling of Natural Phenomena

Volumn 5, Issue 1, 2010, Pages 163-202

  McDougall, S R ^a   Chaplain, M A J ^b   Stephanou A ^c   Anderson, A R A ^b  

^a HERIOT WATT UNIVERSITY   (United Kingdom)

^b UNIVERSITY OF DUNDEE   (United Kingdom)

^c UNIV GRENOBLE ALPES   (France)

Author keywords

anti angiogenic; anti vascular treatment protocols; blood vessel networks; chemotherapeutic; pericytes; tumour induced angiogenesis

Indexed keywords

ANGIOGENESIS; ANTI-ANGIOGENIC; ANTI-VASCULAR TREATMENT PROTOCOLS; CHEMOTHERAPEUTIC; PERICYTES;

BLOOD; CHEMOTHERAPY; CYTOLOGY; MICROCIRCULATION; THREE DIMENSIONAL COMPUTER GRAPHICS; TUMORS;

BLOOD VESSELS;

EID: 77951773278     PISSN: 09735348     EISSN: 17606101     Source Type: Journal    
DOI: 10.1051/mmnp/20105108     Document Type: Article

References (49)

1. T. Alarcon, H.M. Byrne, P.K. Maini. A cellular automaton model for tumour growth in inhomogeneous environment. J. Theor. Biol., 225 (2003), 257-274. (Pubitemid 37324088)
2. A.R.A. Anderson, M.A.J. Chaplain. Continuous and discrete mathematical models of tumorinduced angiogenesis. Bull. Math. Biol., 60 (1998), 857-899. (Pubitemid 28427465)
3. A. Armulik, A. Abramsson, C. Betsholtz. (2005). Endothelial/pericyte interactions. Circulation Research, 97 (2005), 512-523. (Pubitemid 41361741)
4. D.H. Ausprunk, J. Folkman. Migration and proliferation of endothelial cells in preformed and newly formed blood vessels during tumour angiogenesis. Microvasc. Res., 14 (1977), 53-65. (Pubitemid 8153798)
5. R.G. Bagley. Pericytes from human non-small cell lung carcinomas: An attractive target for anti-angiogenic therapy. Microvascular Res., 71 (2006), 163-174. (Pubitemid 43794852)
6. J.W. Baish, Y. Gazit, D.A. Berk, M. Nozue, L.T. Baxter, R.K. Jain. Role of tumor vascular architecture in nutrient and drug delivery: an invasion percolation-based network model. Microvasc. Res., 51 (1996), 327-346. (Pubitemid 26162001)
7. L.E. Benjamin, I. Hemo, E. Keshet. A plasticity window for blood vessel remodelling is defined by pericyte coverage of the preformed endothelial network and is regulated by PDGF-B and VEGF. Development, 125 (1998), 1591-1598. (Pubitemid 28256727)
8. D. Bray. Cell Movements. New-York: Garland Publishing, 1992.
9. R.A. Brekken, P.E. Thorpe. Vascular endothelial growth factor and vascular targeting of solid tumors. 21 (2001), 4221-4229.
10. C.F. Chantrain, P. Henriet, S. Jodele, H. Emonard, O. Feron, P.J. Courtoy, Y .A. DeClerck, E. Marbaix (2006). Mechanisms of pericyte recruitment in tumour angiogenesis: A new role for metalloproteinases. European J. Cancer, 42 (2006), 310-318. (Pubitemid 43132885)
11. M.A.J. Chaplain, G. Lolas. Mathematical modelling of cancer cell invasion of tissue: The role of the urokinase plasminogen activator system. Math. Mod. Meth. Appl. Sci., 11 (2005), 1685-1734. (Pubitemid 41551043)
12. M. Ciofalo, M.W. Collins, T.R. Hennessy. "Microhydrodynamics phenomena in the circulation."In: Nanoscale fluid dynamics in physiological processes: A review study. WIT Press, Southampton,1999, pp 219-236.
13. G.E. Davis, K.A. Pintar Allen, R. Salazar, S.A. Maxwell. Matrix metalloproteinase-1 and -9 activation by plasmin regulates a novel endothelial cell-mediated mechanism of collagen gel contraction and capillary tube regression in three-dimensional collagen matrices. J. Cell Sci., 114 (2000), 917-930.
14. A.W. El-Kareh, T.W. Secomb Theoretical models for drug delivery to solid tumours. Crit. Rev. Biomed. Eng., 25 (1997), 503-571. (Pubitemid 28387187)
15. J. Folkman, M. Klagsbrun. Angiogenic factors. Science, 235 (1987), 442-447. (Pubitemid 17009577)
16. Y.C. Fung. Biomechanics. Springer-Verlag, New-York, 1993.
17. M.S. Gee, W.N. Procopio, S. Makonnen, M.D. Feldman, N.W. Yeilding, W.M.F. Lee. Tumor vessel development and maturation impose limits on the effectiveness of anti-vascular therapy. Am. J. Path., 162 (2003), 183-193. (Pubitemid 36042000)
18. R. Gödde, H. Kurz. Structural and biophysical simulation of angiogenesis and vascular remodeling. Developmental Dynamics, 220 (2001), 387-401. (Pubitemid 32246844)
19. M. Hidalgo, S.G. Eckkhardt. Development of matrix metalloproteinase inhibitors in cancer therapy. Journal of the National Cancer Institute, 93 (2001), 178-193. (Pubitemid 32166488)
20. S. Hughes, T. Gardiner, P. Hu, L. Baxter, E. Rosinova, T. Chan-Ling. Altered pericyteendothelial relations in the rat retina during aging: Implications for vessel stability. Neurobiology of Aging, 27 (2006), 1838-1847. (Pubitemid 44572587)
21. Y. Izumi. Tumour biology: herceptin acts as an antiangiogenic cocktail. Nature 416 (2002), 279-280. (Pubitemid 34260234)
22. T.L. Jackson, S.R. Lubkin, J.D. Murray. Theoretical analysis of conjugate localization in two-step cancer chemotherapy. J. Math. Biol. 39 (1999), 353-376.
23. R.K. Jain. (2003). Molecular regulation of vessel maturation. Nat. Med., 9 (2003), 685-93. (Pubitemid 36749217)
24. A. Kamiya, R. Bukhari, T. Togawa. Adaptive regulation of wall shear stress optimizing vascular tree function. Bull. Math. Biology. 46 (1984), 127-137. (Pubitemid 14167201)
25. G.S. Krenz, C.A. Dawson. Vessel distensibility and flow distribution in vascular trees. J. Math. Biol., 44 (2002), 360-374. (Pubitemid 44200129)
26. C.C. Kumar. Targeting integrins αvβ3 and αvβ5 for blocking tumour-induced angiogenesis. Adv. Exp. Med. Biol., 476 (2000), 169-180.
27. H.A. Levine, S. Pamuk, B.D. Sleeman, M. Nielsen-Hamilton. Mathematical modeling of the capillary formation and development in tumor angiogenesis: penetration into the stroma. Bull. Math. Biol., 63 (2001), 801-863. (Pubitemid 32834844)
28. S.R. McDougall, A.R.A. Anderson, M.A.J. Chaplain, J.A. Sherratt. Mathematical modeling of flow through vascular networks: implications for tumour-induced angiogenesis and chemotherapy strategies. Bull. Math. Biol., 64 (2002), 673-702. (Pubitemid 36072687)
29. S.R. McDougall, A.R.A. Anderson, M.A.J. Chaplain. Mathematical modelling of dynamic adaptive tumour-induced angiogenesis: clinical implications and therapeutic targeting strategies. J. Theor. Biol., 241 (2006), 564-589. (Pubitemid 44041121)
30. J.A. Madri, B.M. Pratt. Endothelial cell-matrix interactions: in vitro models of angiogenesis. J. Histochem. Cytochem. 34 (1986), 85-91. (Pubitemid 16175851)
31. M.R. Mancuso et al. Rapid vascular regrowth in tumors after reversal of VEGF inhibition. J. Clin. Investigation, 116 (2006), 2610-2621. (Pubitemid 44511625)
32. S. Morikawa, P. Baluk, T. Kaidoh, A. Haskell, R.K. Jain, D.M. McDonald. Abnormalities in pericytes on blood vessels and endothelial sprouts in tumors. Am. J. Path., 160 (2002), 985-1000. (Pubitemid 34224587)
33. L.L. Munn. Aberrant vascular architecture in tumors and its importance in drug-based therapies. Drug Discovery Today, 8 (2003), 396-403. (Pubitemid 36442691)
34. N. Paweletz, M. Knierim. Tumor-related angiogenesis. Crit. Rev. Oncol. Hematol. 9 (1989), 197-242. (Pubitemid 19272541)
35. A.R. Pries, T.W. Secomb, P. Gaehtgens. Biophysical aspects of blood flow in the microvasculature. Cardiovasc. Res., 32 (1996), 654-667. (Pubitemid 26332305)
36. A.R. Pries, T.W. Secomb, P. Gaehtgens. Structural adaptation and stability of microvascular networks: theory and simulation. Am. J. Physiol., 275 (1998), H349-H360.
37. A.R. Pries, B. Reglin, T.W. Secomb. Structural adaptation of microvascular networks: functional roles of adaptive responses. Am. J. Physiol., 281 (2001a), H1015-H1025.
38. A.R. Pries, B. Reglin, T.W. Secomb. Structural adaptation of vascular networks: role of the pressure response. Hypertension, 38 (2001b), 1476-1479. (Pubitemid 34033437)
39. A. Quarteroni, M. Tuveri, A. Veneziani. Computational vascular fluid dynamics: problems, models and methods. Comput. Visual. Sci., 2 (2000), 163-197.
40. S. Rafil. Vascular and haematopoietic stem cells: novel targets for anti-angiogenesis therapy? Nature Reviews Cancer, 2 (2002), 826-835.
41. C. Rouget. Memoire sur le developpement, la structure et les proprietes physiologiques des capillaires sanguins et lymphatiques. Arch. Physiol. Norm. Pathol., 5 (1873), 603-663.
42. T.W. Secomb. Mechanics of blood flow in the microcirculation. In "Biological Fluid Dynamics."eds. C.P. Ellington and T.J. Pedley. Company of Biologists, Cambridge, 1995, pp. 305-321.
43. G.I. Schoefl. Studies of inflammation III. Growing capillaries: Their structure and permeability. Virchows Arch. Path. Anat., 337 (1963), 97-141.
44. M.M. Sholley, G.P. Ferguson, H.R. Seibel, J.L. Montour, J.D. Wilson. Mechanisms of neovascularization. Vascular sprouting can occur without proliferation of endothelial cells. Lab. Invest., 51 (1984), 624-634. (Pubitemid 15182528)
45. A. Stéphanou, S.R. McDougall, A.R.A. Anderson, M.A.J. Chaplain. Mathematical modeling of flow in 2D and 3D vascular networks: applications to anti-angiogenic and chemotherapeutic drug strategies. Math. Comp. Model., 41 (2005a), 1137-1156. (Pubitemid 41444869)
46. A. Stéphanou, S.R. McDougall, A.R.A. Anderson, M.A.J. Chaplain. Mathematical modeling of the influence of blood rheological properties upon adaptive tumour-induced angiogenesis. Math. Comp. Model., 44 (2005b), 96-123. (Pubitemid 44294552)
47. M.D. Sternlicht, Z. Werb. How matrix metalloproteinases regulate cell behavior. Annu. Rev. Cell Dev. Biol., 17 (2001), 463-516. (Pubitemid 33096184)
48. G.M. Tozer, C. Kanthou, B.C. Baguley. Disrupting tumour blood vessels. Nature Reviews Cancer, 5 (2005), 423-433.
49. L. Yan, M.A. Moses, S. Huang, D. Ingber (2000) Adhesion-dependent control of matrix metalloproteinase-2 activation in human capillary endothelial cells. J. Cell Sci., 113 (2000), 3979-3987. (Pubitemid 32194523)