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Modelling the Impact of Pericyte Migration and Coverage of Vessels on the Efficacy of Vascular Disrupting Agents

Published online by Cambridge University Press:  03 February 2010

S. R. McDougall
Affiliation:
Heriot-Watt University, Edinburgh, EH14 4AS, Scotland
M. A.J. Chaplain*
Affiliation:
Division of Mathematics, University of Dundee, Dundee, DD1 4HN, Scotland
A. Stéphanou
Affiliation:
Faculté de Médecine de Grenoble, 38706 La Tronche Cedex, France.
A. R.A. Anderson
Affiliation:
Division of Mathematics, University of Dundee, Dundee, DD1 4HN, Scotland
*
*Corresponding author. E-mail: chaplain@maths.dundee.ac.uk
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Abstract

Over the past decade or so, there have been a large number of modelling approaches aimed at elucidating the most important mechanisms affecting the formation of new capillaries from parent blood vessels — a process known as angiogenesis. Most studies have focussed upon the way in which capillary sprouts are initiated and migrate in response to diffusible chemical stimuli supplied by hypoxic stromal cells and leukocytes in the contexts of solid tumour growth and wound healing. However, relatively few studies have examined the important role played by blood perfusion during angiogenesis and fewer still have explored the ways in which a dynamically evolving vascular bed architecture can affect the distribution of flow within it. From the perspective of solid tumour growth and, perhaps more importantly, its treatment (e.g. chemotherapy), it would clearly be of some benefit to understand this coupling between vascular structure and perfusion more fully. This paper focuses on the implications of such a coupling upon chemotherapeutic, anti-angiogenic, and anti-vascular treatments.

In an extension to previous work by the authors, the issue of pericyte recruitment during vessel maturation is considered in order to study the effects of different anti-vascular and anti-angiogenic therapies from a more rigorous modelling standpoint. Pericytes are a prime target for new vascular disrupting agents (VDAs) currently in clinical trials. However, different compounds attack different components of the vascular network and the implications of targeting only certain elements of the capillary bed are not immediately clear. In light of these uncertainties, the effects of anti-angiogenic and anti-vascular drugs are re-examined by using an extended model that includes an interdependency between vessel remodelling potential and local pericyte density. Two- and three-dimensional simulation results are presented and suggest that it may be possible to identify a VDA-specific “plasticity window” (a time period corresponding to low pericyte density), within which a given VDA would be most effective.

Type
Research Article
Copyright
© EDP Sciences, 2010

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References

Alarcon, T., Byrne, H.M. Maini, P.K.. A cellular automaton model for tumour growth in inhomogeneous environment . J. Theor. Biol., 225 (2003), 257274 CrossRefGoogle ScholarPubMed
Anderson, A.R.A. Chaplain, M.A.J.. Continuous and discrete mathematical models of tumor-induced angiogenesis . Bull. Math. Biol., 60 (1998), 857899 CrossRefGoogle ScholarPubMed
Armulik, A., Abramsson, A., Betsholtz, C.. (2005). Endothelial/pericyte interactions . Circulation Research, 97 (2005), 512523 CrossRefGoogle ScholarPubMed
Ausprunk, D.H. Folkman, J.. Migration and proliferation of endothelial cells in preformed and newly formed blood vessels during tumour angiogenesis . Microvasc. Res., 14 (1977), 5365 CrossRefGoogle Scholar
Bagley, R.G.. Pericytes from human non-small cell lung carcinomas: An attractive target for anti-angiogenic therapy . Microvascular Res., 71 (2006), 163174 CrossRefGoogle ScholarPubMed
Baish, J.W., Gazit, Y., Berk, D.A., Nozue, M., Baxter, L.T. Jain, R.K.. Role of tumor vascular architecture in nutrient and drug delivery: an invasion percolation-based network model . Microvasc. Res., 51 (1996), 327346 CrossRefGoogle ScholarPubMed
Benjamin, L.E., Hemo, I. Keshet, E.. 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), 15911598 Google ScholarPubMed
D. Bray. Cell Movements. New-York: Garland Publishing, 1992.
Brekken, R.A., Thorpe, P.E.. Vascular endothelial growth factor and vascular targeting of solid tumors . 21 (2001), 42214229. Google ScholarPubMed
Chantrain, C.F., Henriet, P., Jodele, S., Emonard, H., Feron, O., Courtoy, P.J., DeClerck, Y.A., Marbaix, E. (2006). Mechanisms of pericyte recruitment in tumour angiogenesis: A new role for metalloproteinases . European J. Cancer, 42 (2006), 310318 CrossRefGoogle ScholarPubMed
Chaplain, M.A.J. Lolas, G.. Mathematical modelling of cancer cell invasion of tissue: The role of the urokinase plasminogen activator system . Math. Mod. Meth. Appl. Sci., 11 (2005), 16851734 CrossRefGoogle Scholar
Ciofalo, M., Collins, M.W., Hennessy, T.R.. “Microhydrodynamics phenomena in the circulation.” In: Nanoscale fluid dynamics in physiological processes: A review study. WIT Press, Southampton, 1999, pp 219236. Google Scholar
Davis, G.E., Pintar Allen, K.A. , Salazar, R. Maxwell, S.A.. 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), 917930 Google ScholarPubMed
El-Kareh, A.W. Secomb, T.W. Theoretical models for drug delivery to solid tumours . Crit. Rev. Biomed. Eng., 25 (1997), 503571 CrossRefGoogle Scholar
Folkman, J. Klagsbrun, M.. Angiogenic factors . Science, 235 (1987), 442447 CrossRefGoogle ScholarPubMed
Y.C. Fung. Biomechanics. Springer-Verlag, New-York, 1993.
Gee, M.S., Procopio, W.N., Makonnen, S., Feldman, M.D., Yeilding, N.W. Lee, W.M.F.. Tumor vessel development and maturation impose limits on the effectiveness of anti-vascular therapy . Am. J. Path., 162 (2003), 183193 CrossRefGoogle Scholar
Gödde, R. Kurz, H.. Structural and biophysical simulation of angiogenesis and vascular remodeling . Developmental Dynamics, 220 (2001), 387401 CrossRefGoogle ScholarPubMed
Hidalgo, M. Eckkhardt, S.G.. Development of matrix metalloproteinase inhibitors in cancer therapy . Journal of the National Cancer Institute, 93 (2001), 178193 CrossRefGoogle ScholarPubMed
Hughes, S., Gardiner, T., Hu, P., Baxter, L., Rosinova, E. Chan-Ling, T.. Altered pericyte-endothelial relations in the rat retina during aging: Implications for vessel stability . Neurobiology of Aging, 27 (2006), 18381847 CrossRefGoogle Scholar
Izumi, Y.. Tumour biology: herceptin acts as an antiangiogenic cocktail . Nature 416 (2002), 279280. CrossRefGoogle ScholarPubMed
Jackson, T.L., Lubkin, S.R., Murray, J.D.. Theoretical analysis of conjugate localization in two-step cancer chemotherapy . J. Math. Biol. 39 (1999), 353376. CrossRefGoogle ScholarPubMed
Jain, R.K.. (2003) Molecular regulation of vessel maturation . Nat. Med., 9 (2003), 68593 CrossRefGoogle ScholarPubMed
Kamiya, A., Bukhari, R., Togawa, T.. Adaptive regulation of wall shear stress optimizing vascular tree function . Bull. Math. Biology. 46 (1984), 127137. CrossRefGoogle ScholarPubMed
Krenz, G.S. Dawson, C.A.. Vessel distensibility and flow distribution in vascular trees . J. Math. Biol., 44 (2002), 360374 CrossRefGoogle Scholar
Kumar, C.C.. Targeting integrins α v β 3 and α v β 5 for blocking tumour-induced angiogenesis . Adv. Exp. Med. Biol., 476 (2000), 169180 CrossRefGoogle Scholar
Levine, H.A., Pamuk, S., Sleeman, B.D. Nielsen-Hamilton, M.. Mathematical modeling of the capillary formation and development in tumor angiogenesis: penetration into the stroma . Bull. Math. Biol., 63 (2001), 801863 CrossRefGoogle ScholarPubMed
McDougall, S.R., Anderson, A.R.A., Chaplain, M.A.J. Sherratt, J.A.. Mathematical modelling of flow through vascular networks: implications for tumour-induced angiogenesis and chemotherapy strategies . Bull. Math. Biol., 64 (2002), 673702 CrossRefGoogle ScholarPubMed
McDougall, S.R., Anderson, A.R.A. Chaplain, M.A.J.. Mathematical modelling of dynamic adaptive tumour-induced angiogenesis: clinical implications and therapeutic targeting strategies . J. Theor. Biol., 241 (2006), 564589 CrossRefGoogle ScholarPubMed
Madri, J.A., Pratt, B.M.. Endothelial cell-matrix interactions: in vitro models of angiogenesis . J. Histochem. Cytochem. 34 (1986), 8591. CrossRefGoogle ScholarPubMed
Mancuso, M.R. et al. Rapid vascular regrowth in tumors after reversal of VEGF inhibition . J. Clin. Investigation, 116 (2006), 26102621 CrossRefGoogle ScholarPubMed
Morikawa, S., Baluk, P., Kaidoh, T., Haskell, A., Jain, R.K. McDonald, D.M.. Abnormalities in pericytes on blood vessels and endothelial sprouts in tumors . Am. J. Path., 160 (2002), 9851000 CrossRefGoogle ScholarPubMed
Munn, L.L.. Aberrant vascular architecture in tumors and its importance in drug-based therapies . Drug Discovery Today, 8 (2003), 396403 CrossRefGoogle Scholar
Paweletz, N., Knierim, M.. Tumor-related angiogenesis . Crit. Rev. Oncol. Hematol. 9 (1989), 197242. CrossRefGoogle ScholarPubMed
Pries, A.R., Secomb, T.W. Gaehtgens, P.. Biophysical aspects of blood flow in the microvasculature . Cardiovasc. Res., 32 (1996), 654667 CrossRefGoogle ScholarPubMed
Pries, A.R., Secomb, T.W. Gaehtgens, P.. Structural adaptation and stability of microvascular networks: theory and simulation . Am. J. Physiol., 275 (1998), H349H360 Google Scholar
Pries, A.R., Reglin, B. Secomb, T.W.. Structural adaptation of microvascular networks: functional roles of adaptive responses . Am. J. Physiol., 281 (2001), H1015H1025 Google ScholarPubMed
Pries, A.R., Reglin, B. Secomb, T.W.. Structural adaptation of vascular networks: role of the pressure response . Hypertension, 38 (2001), 14761479 CrossRefGoogle Scholar
Quarteroni, A., Tuveri, M. Veneziani, A.. Computational vascular fluid dynamics: problems, models and methods . Comput. Visual. Sci., 2 (2000), 163197 CrossRefGoogle Scholar
Rafil, S.. Vascular and haematopoietic stem cells: novel targets for anti-angiogenesis therapy? Nature Reviews Cancer, 2 (2002), 826835. Google Scholar
Rouget, C.. Memoire sur le developpement, la structure et les proprietes physiologiques des capillaires sanguins et lymphatiques . Arch. Physiol. Norm. Pathol., 5 (1873), 603663 Google Scholar
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.
Schoefl, G.I.. Studies of inflammation III. Growing capillaries: Their structure and permeability . Virchows Arch. Path. Anat., 337 (1963), 97141 CrossRefGoogle Scholar
Sholley, M.M., Ferguson, G.P., Seibel, H.R., Montour, J.L. Wilson, J.D.. Mechanisms of neovascularization. Vascular sprouting can occur without proliferation of endothelial cells . Lab. Invest., 51 (1984), 624634 Google Scholar
Stéphanou, A., McDougall, S.R., Anderson, A.R.A. Chaplain, M.A.J.. Mathematical modelling of flow in 2D and 3D vascular networks: applications to anti-angiogenic and chemotherapeutic drug strategies . Math. Comp. Model., 41 (2005), 11371156 CrossRefGoogle Scholar
Stéphanou, A., McDougall, S.R., Anderson, A.R.A. Chaplain, M.A.J.. Mathematical modelling of the influence of blood rheological properties upon adaptive tumour-induced angiogenesis . Math. Comp. Model., 44 (2005), 96123 CrossRefGoogle Scholar
Sternlicht, M.D. Werb, Z.. How matrix metalloproteinases regulate cell behavior . Annu. Rev. Cell Dev. Biol., 17 (2001), 463516 CrossRefGoogle ScholarPubMed
Tozer, G.M., Kanthou, C. Baguley, B.C.. Disrupting tumour blood vessels . Nature Reviews Cancer, 5 (2005), 423433 CrossRefGoogle ScholarPubMed
Yan, L., Moses, M.A., Huang, S., Ingber, D. (2000) Adhesion-dependent control of matrix metalloproteinase-2 activation in human capillary endothelial cells . J. Cell Sci., 113 (2000), 39793987. Google Scholar