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Computational and Mathematical Methods in Medicine
An Interdisciplinary Journal of Mathematical, Theoretical and Clinical Aspects of Medicine
Volume 11, 2010 - Issue 4
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Original Articles

Modelling of peripheral fluid accumulation after a crystalloid bolus in female volunteers – a mathematical study

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Pages 341-351 | Received 25 Nov 2009, Accepted 07 May 2010, Published online: 30 Sep 2010

References

  • Lowell , J.A. , Schifferdecker , C. , Driscoll , D.F. , Benotti , P.N. and Bistrian , B.R. 1990 . Postoperative fluid overload: Not a benign problem . Crit. Care Med. , 18 : 728 – 733 .
  • Svensen , C. and Hahn , R.G. 1997 . Volume kinetics of Ringer solution, dextran 70, and hypertonic saline in male volunteers . Anesthesiology , 872 : 204 – 212 .
  • Brauer , K.I. , Svensen , C. , Hahn , R.G. , Traber , L.D. and Prough , D.S. 2002 . Volume kinetic analysis of the distribution of 0.9% saline in conscious versus isoflurane-anesthetized sheep . Anesthesiology , 962 : 442 – 449 .
  • Hahn , R. and Svensén , C. 1999 . “ Volume kinetics: A new method to optimise fluid therapy ” . In Yearbook Intensive Care and Emergency Medicine , Edited by: Vincent , J.L. 165 – 174 . Heidelberg : Springer Verlag .
  • Svensen , C. and Hahn , R.G. 2000 . Volume kinetics of fluids infused intravenously . Curr. Anaesth. Crit. Care. , 11 : 3 – 6 .
  • Norberg , Å. , Hahn , R. , Li , H. , Olsson , J. , Boersheim , E. , Wolf , S. , Minton , R. and Svensen , C. 2007 . Population volume kinetics of crystalloid infusions in the awake vs isoflurane anesthetized state in healthy volunteers . Anesthesiology , 107 : 24 – 32 .
  • Olsson , J. and Svensen , C. 2004 . The volume kinetics of acetated Ringer's solution during laparoscopic cholecystectomy . Anesth. Analg. , 99 : 1854 – 1860 .
  • Boxenbaum , H.G. , Riegelman , S. and Elashoff , R.M. 1974 . Statistical estimations in pharmacokinetics . J. Pharmacokinet. Biopharm. , 2 : 123 – 148 .
  • Svensen , C. , Olsson , J. , Rodhe , P. , Boersheim , E. , Aarsland , A. and Hahn , R.G. 2009 . Arterivenous differences in plasma dilution and the kinetics of lactated Ringer's solution . Anesth. Analg. , 108 : 128 – 133 .
  • Hahn , R.G. and Drobin , D. 1998 . Urinary excretion as an input variable in volume kinetic analysis of Ringer's solution . Br. J. Anaesth. , 80 : 183 – 188 .
  • Nadler , S.B. , Hidalgo , J.U. and Bloch , T. 1962 . Prediction of blood volume in normal human adults . Surgery , 51 : 224 – 232 .
  • Hahn , R.G. 1987 . A haemoglobin dilution method (HDM) for estimation of blood volume variations during transurethral prostatic surgery . Acta. Anaesthesiol. Scand. , 31 : 572 – 578 .
  • Lagarias , J. , Reeds , J. , Wright , M. and Wright , P. 1998 . Convergence properties of the Nelder-Mead Simplex Method in low dimensions . SIAM J. Optim. , 9 : 112 – 147 .
  • Shampine , L. and Thompson , S. 2001 . Solving DDEs in MATLAB . Appl. Numer. Math. , 37 : 441 – 458 .
  • Gyenge , C.C. , Bowen , B.D. , Reed , R.K. and Bert , J.L. 2003 . Mathematical model of renal elimination of fluid and small ions during hyper- and hypovolemic conditions . Acta Anaesthesiol. Scand. , 472 : 122 – 137 .
  • Lamke , L.O. , Nilsson , G.E. and Reithner , H.L. 1977 . Water loss by evaporation from the abdominal cavity during surgery . Acta Chir. Scand. , 1435 : 279 – 284 .
  • Chappell , D. , Jacob , M. , Hofmann-Kiefer , K. , Conzen , P. and Rehm , M. 2008 . A rational approach to perioperative fluid management . Anesthesiology , 1094 : 723 – 740 .
  • Shires , G.T. , Cunningham , J.N. , Baker , C.R. , Reeder , S.F. , Illner , H. Wagner , I.Y. 1972 . Alterations in cellular membrane function during hemorrhagic shock in primates . Ann. Surg. , 176 : 288 – 295 .
  • Shires , G.T. , Williams , J. and Brown , F. 1961 . Acute changes in extracellular fluid associated with major surgical procedures . Ann. Surg. , 154 : 803 – 810 .
  • Shires , G.T. , Coln , D. , Carrico , J. and Lightfoot , S. 1964 . Fluid therapy in hemorrhagic shock . Arch. Surg. , 88 : 688 – 693 .
  • Brandstrup , B. , Svensen , C. and Engquist , A. 2006 . Hemorrhage and surgery cause a contraction of the extracellular space needing replacement” – Evidence and implications . Surgery , 139 : 419 – 432 .
  • Guyton , A.C. and Hall , J.E. 1996 . Textbook of Medical Physiology , Ninth ed. , Philadelphia : W.B. Saunders .
  • Brauer , L.P. , Svensen , C.H. , Hahn , R.G. , Kilcturgdy , S. , Kramer , G.C. and Prough , D.S. 2002 . Influence of rate and volume on kinetics of 0.9% saline and 7.5% saline/6% dextran in sheep . Anesth. Analg. , 95 : 1547 – 1556 .
  • Svensen , C. , Brauer , K.I. , Hahn , R. , Uchida , T. and Prough , D. 2004 . Elimination rate constant describing clearance of 0.9% saline from plasma is independent of infused volume in sheep . Anesthesiology , 101 : 666 – 674 .
  • Sjöstrand , F. , Nyström , T. and Hahn , R. 2006 . Intravenous hydration with a 2.5% glucose solution in Type II diabetes . Clin. Sci. , 111 : 127 – 134 .
  • Wiig , H. , Rubin , K. and Reed , R.K. 2003 . New and active role of the interstitium in control of interstitial fluid pressure: potential therapeutic consequences . Acta Anaesth. Scand. , 47 : 111 – 121 .

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