Free access
Issue
ESAIM: M2AN
Volume 37, Number 4, July-August 2003
Special issue on Biological and Biomedical Applications
Page(s) 557 - 580
DOI http://dx.doi.org/10.1051/m2an:2003047
Published online 15 November 2003
  1. B. Cockburn and C.W. Shu, TVB Runge-Kutta projection discontinous Galerkin finite element methods for conservation laws II general framework. Math. Commun. 52 (1989) 411-435.
  2. M.L. Denbow, P. Cox, D. Talbert and N.M. Fisk, Colour doppler energy insonation of placental vasculature in monochorionic twins: absent arterio-arterial anastomoses in association with twin-to-twin transfusion syndrome. Br. J. Obstet. Gynecol. 105 (1998) 760-765. [CrossRef]
  3. N.M. Denbow, P. Cox, M. Taylor, D.M. Hammal and N.M. Fisk, Placental angioarchitecture in monochorionic twin pregnancies: relationship to fetal growth, feto-fetal transfusion syndrome, fetofetal transfusion syndrome, and pregnancy outcome. Am. J. Obstet. Gynecol. 182 (2000) 417-426. [CrossRef] [PubMed]
  4. L. Formaggia, F. Nobile and A. Quarteroni, A one dimensional model for blood flow: application to vascular prosthesis, in Mathematical Modeling and Numerical Simulation in Continuum Mechanics, I. Babuska, T. Miyoshi, and P.G. Ciarlet Eds., Lect. Notes Comput. Sci. Eng. 19 (2002) 137-153.
  5. L. Formaggia and A. Veneziani, Geometrical multiscale models of the cardiovascular system: from lumped parameters to 3d simulations. VKI Lecture Series (2003).
  6. T.J. Pedley, The fluid mechanics of large blood vessels, volume First Edition, Cambridge University Press, Cambridge (1980).
  7. I. Lomtev, C.W. Quillen and G. Karniadakis, Spectral/hp methods for viscous compressible flows on unstructured 2d meshes. J. Comput. Phys. 144 (1998) 325-357. [CrossRef] [MathSciNet]
  8. W.W. Nichols and M.F. O'Rourke, McDonald's Blood Flow in Arteries. Theoretical, experimental and clinical principles, volume Fourth Edition, Arnold, London (1998).
  9. S.J. Sherwin, L. Formaggia, J. Peiro and V. Franke, Computational modelling of 1d blood flow with variable mechanical properties and its application to the simulation of wave propagation in the human arterial system. Submitted to Int. J. Numer. Method Fluid (2003).
  10. S.J. Sherwin, V. Franke, J. Peiro and K. Parker, One-dimensional modelling of a vascular network in space-time variables. Submitted to J. Eng. Math. (2003).
  11. S.J. Sherwin, Dispersion analysis of the continuous and discontinuous Galerkin formulations, in International Symposium on Discontinuous Galerkin Methods, Newport, RI (1999).
  12. N.P. Smith, A.J. Pullan and P.J. Hunter, An anatomically based model of transient coronary blood flow in the heart. SIAM J. Appl. Math. 62 (2002) 990-1018. [CrossRef]
  13. T.Y.T. Tam, M.J.O. Taylor, L.Y. Wee, T. Vanderheydem and N.M. Fisk, Modified quintero staging system for twin-twin transfusion syndrome. Submitted to Ultrasound Obstet. Gynecol. (2003).
  14. M.J.O. Taylor, M.L. Denbow, K.R. Duncan, T.G. Overton and N.M. Fisk, Anatenatal factors at diagnosis that predict outcome in twin-twin transfusion syndrome. Am. J. Obstet. Gynecol. (2000) 1023-1028.
  15. M.J.O. Taylor, M.L. Denbow, S. Tanawattanacharoen, C. Gannon, P. Cox and N.M. Fisk, Doppler detection of arterio-arterial anastomoses in monochorionic twins: feasibility and clinical application. Hum. Reprod. 15 (2000) 1632-1636. [CrossRef] [PubMed]
  16. M.J.O. Taylor, D. Farquaharson, P.M. Cox and N.M. Fisk, Identification of arterio-venous anastomoses in vivo in monochorionic twin pregnancies: preliminary report. Ultrasound Obstet. Gynecol. 16 (2000) 218-222. [CrossRef] [PubMed]
  17. M.J.O. Taylor, D.G. Talbert and N.M. Fisk, Mapping the monochorionic equator. Ultrasound Obstet. Gynecol. 14 (1999) 372-374. [CrossRef] [PubMed]
  18. J.J. Wang and K.H. Parker, Wave propagation in a model of the arterial circulation. Submitted to J. Biomech. (2003).
  19. L.Y. Wee and N.M. Fisk, The twin-twin transfusion syndrome. Semin. Neonatol. 7 (2002) 187-202. [CrossRef] [PubMed]

Recommended for you