Structural adaptation in normal and cancerous vasculature

Math Everywhere: Deterministic and Stochastic Modelling in Biomedicine, Economics and Industry. Dedicated to the 60th Birthday of Vincenzo Capasso

Volumn , Issue , 2007, Pages 165-178

  Maini, Philip K ^a   Alarcón, Tomás ^b   Byrne, Helen M ^c   Owen, Markus R ^c   Murphy, James ^c  

^a UNIVERSITY OF OXFORD   (United Kingdom)

^b UNIVERSITY COLLEGE LONDON   (United Kingdom)

^c UNIVERSITY OF NOTTINGHAM   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 67049137430     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/978-3-540-44446-6_14     Document Type: Chapter

References (15)

1. T. Alarcón, H.M. Byrne, P.K. Maini. A cellular automaton model for tumour growth in a heterogeneous environment. J. theor. Biol. 225, 257-274 (2003).
2. T. Alarcón, H.M. Byrne, P.K. Maini. A multiple scale model for tumour growth. SIAM Multiscale Model. Simul. 3, 440-475 (2005).
3. T. Alarcón, H.M. Byrne, P.K. Maini. A design principle for vascular beds: The effects of complex blood rheology. Microvasc. Res. 69, 156-172 (2005).
4. D.M. Collins, W.T. McCullough, M.L. Ellsworth. Conducted vascular responses: Communication across the capillary bed. Microvasc. Res. 56, 43-53 (1998).
5. A. Deutsch, S. Dormann. Modeling of avascular tumor growth with a hybrid cellular automaton. In Silico Biol. 2, 1-14 (2002).
6. P.J. Hunter, P. Robbins, D. Noble. The IUPS human physiome project. Pflügers Archiv- Eur. J. Physiol. 445, 1-9 (2002).
7. M. LaBarbera. Principles of design of fluid transport systems in zoology. Science. 249, 992-1000 (1990).
8. C.D. Murray. The physiological principle of minimom work I The vascular system and the cost of blood volume. Proc. Nat. Acad. Sci. USA. 12, 207 (1977).
9. A.A. Patel, E.T. Gawlinski, S.K. Lemieux, R.A. Gatenby. A cellular automaton model of early tumor growth and invasion: The effects of native tissue vascularity and increased anaerobic tumor metabolism. J. theor. Biol. 213, 315-331 (2001).
10. A.R. Pries, T.W. Secomb, P. Gaehtgens. Design principles of vascular beds. Circ. Res. 77, 1017-1023 (1995).
11. A.R. Pries, T.W. Secomb, P. Gaehtgens. Structural adaptation and stability of microvascular networks: Theory and simulations. Am. J. Physiol. 275, H349- H360 (1998).
12. A.R. Pries, B. Reglin, T.W. Secomb. Structural adaptation of microvascular networks: Functional response to adaptive responses. Am. J. Physiol. 281, H1015- H1025 (2001).
13. N. Resnick, H. Yahav, A. Shay-Salit, M. Shushy, S. Schubert, L.C.M. Zilberman, E. Wofovitz. Fluid shear stress and the vascular endothelium: For better and for worse. Progress Biophys. Mol. Biol. 81, 177-199 (2003).
14. G.D. Yancopoulos, S. Davis, N.W. Gale, J.S. Rudge, S.J. Wiegand, J. Holash. Vascular-specific growth factors and blood vessel formation. Nature. 407, 242- 248 (2000).
15. M. Zamir. Shear forces and blood vessel radii in vardiovascular-system. J. Gen. Physiol. 69, 449-461 (1977).