Journal of Surgical Research
Volume 155, Issue 2 , Pages 201-209 , August 2009

Mathematical Modeling/Problem Solving in Global Oxygen Transport

  • Kevin Farrell, M.D.

      Affiliations

    • Department of Surgery, Emory University School of Medicine, Atlanta, Georgia
    • Corresponding Author InformationTo whom correspondence and reprint requests should be addressed at Department of Surgery, Emory University School of Medicine, Glenn Building (3rd floor), 69 Jesse Hill Jr. Drive, SE, Atlanta, GA 30303.
    • ,
  • Andrew Hill, Ph.D.

      Affiliations

    • Rollins School of Public Health, Emory University, Atlanta, Georgia
    • ,
  • Leon Dent, M.D.

      Affiliations

    • Department of Surgery, Meharry Medical College, Nashville, Tennessee
    • ,
  • Minh Ly Nguyen, M.D.

      Affiliations

    • Department of Medicine, Emory University School of Medicine, Atlanta, Georgia

Received 19 December 2007

References 

  1. Farrell K, Wasser T. The S-factor—A new derived hemodynamic oxygenation parameter—A useful tool for simplified mathematical modeling of global problems of oxygen transport. Adv Exp Med Biol. 1997;411:149
  2. Kaswnitz P, Druger G, Yorra F, et al. Mixed venous oxygen tension and hyperlactemia. JAMA. 1978;236:570
  3. Bryan-Brown CW, Back SW, Makabili G, et al. Consumable oxygen: Availability of oxygen in relation to oxyhemoglobin dissociation. Crit Care Med. 1973;1:17
  4. Hannemann L, Reinhart K. Mixed venous oxygen saturation (in German). Acta Med Austriaca. 1993;20:107
  5. Snyder J, Carroll G. Tissue oxygenation—A physiologic approach to a clinical problem. Clin Problems Surg. 1982;19:661
  6. Honig C. Modern cardiovascular physiology [Appendix III]. First edition. Boston, (MA): Little Brown; 1981;
  7. Keech J, Reed RL. Reliability of mixed venous oxygen saturation as an indication of the oxygen extraction ratio demonstrated by a large patient data set. J Trauma. 2003;54:236
  8. Shoemaker WC, Launder W, Castagna J, et al. Method of estimation of the perfusion defect in shock. J Surg Res. 1976;20:77
  9. Nelson L, Snyder J. Technical problems in data acquisition. In:  Snyder J,  Pinsky M editor. Oxygen transport in the critically ill. Chicago, (IL): Yearbook Medical Publishers; 1987;Ch.15
  10. From RE, Guimond JG, Darby J, et al. The craft of cardiopulmonary analysis. In:  Snyder J,  Pinsky M editor. Oxygen transport in the critically ill. Chicago, (IL): Yearbook Medical Publishers; 1987;Ch.17
  11. Marino PL. Oxygen and carbon dioxide transport. In: The ICU book. 3rd edition. Williams and Wilkins; 2007;30
  12. Vayo M, Lipowski H, Karp N, et al. A model of microvascular oxygen transport in sickle cell disease. Microvasc Res. 1985;30:195
  13. Watkin G, Rabelo A, Plzak L, et al. The left shifted oxyhemoglobin curve in sepsis – A preventable defect. Ann Surg. 1974;180:213
  14. Seear M, Malagon I, Hui H, et al. Evaluation of a mathematical model to predict intrapulmonary shunt noninvasively. Can J Anesth. 1999;46:483
  15. Jacobs D, Robinson M. Body composition. In:  Fischer J editors. Nutrition and metabolism in the surgical patient. 2nd edition. Boston, (MA): Little Brown; 1983;Ch.I
  16. Bursztein S, Elwyn D, Askanazi J, et al. The theoretical framework of indirect calorimetry and energy balance. In: Energy metabolism, indirect calorimetry, and nutrition. Williams and Wilkins; 1989;Ch.II
  17. Katz M. Data interpretation, model building, and compartmental analysis in Calculus for the life sciences—An introduction. New York, (NY): Marcel Decker; 1976;
  18. Nelder JA, Mead R. A simplex method for function minimization. Comput J. 1965;7:308

PII: S0022-4804(08)00464-2

doi: 10.1016/j.jss.2008.07.009

Journal of Surgical Research
Volume 155, Issue 2 , Pages 201-209 , August 2009

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