Mathematical models of oxygen and carbon dioxide storage and transport: Interstitial fluid and tissue stores and whole-body transport

Critical Reviews in Biomedical Engineering

Volumn 33, Issue 3, 2005, Pages 265-298

  Andreassen, S ^a   Rees, Stephen E ^a  

^a AALBORG UNIVERSITY   (Denmark)

Author keywords

Acid base; Blood; Lungs; Modeling; Simulation

Indexed keywords

BIOLOGICAL ORGANS; BLOOD; CARBON DIOXIDE; INORGANIC ACIDS; MATHEMATICAL MODELS; METABOLISM; PHYSIOLOGY; SUBSTRATES; TISSUE; VENTILATION;

ACID-BASE CHEMISTRY; INSPIRATION; INTERSTITIAL FLUIDS; PHYSICOCHEMICAL PROPERTIES;

OXYGEN;

CARBON DIOXIDE; OXYGEN;

ACID BASE BALANCE; AEROBIC METABOLISM; ARTERIAL BLOOD; BODY FLUID; CARBON DIOXIDE TENSION; CHEMICAL REACTION; INTERSTITIAL FLUID; LUNG ALVEOLUS; LUNG CAPILLARY; LUNG MINUTE VOLUME; MATHEMATICAL MODEL; OXYGEN CONSUMPTION; OXYGEN TRANSPORT; PRIORITY JOURNAL; REVIEW; TISSUE; VENOUS BLOOD;

ACID-BASE EQUILIBRIUM; ANIMALS; BIOLOGICAL TRANSPORT, ACTIVE; BLOOD CHEMICAL ANALYSIS; BLOOD FLOW VELOCITY; BLOOD PHYSIOLOGY; CARBON DIOXIDE; COMPUTER SIMULATION; CONNECTIVE TISSUE; ERYTHROCYTES; EXTRACELLULAR FLUID; HUMANS; HYDROGEN-ION CONCENTRATION; LUNG; MODELS, BIOLOGICAL; MODELS, CHEMICAL; OXYGEN; PULMONARY GAS EXCHANGE;

EID: 20344376937     PISSN: 0278940X     EISSN: None     Source Type: Journal    
DOI: 10.1615/CritRevBiomedEng.v33.i3.20     Document Type: Review

References (42)

1. Rees SE, Andreassen S, Mathematical models of oxygen and carbon dioxide storage and transport: the acid-base chemistry of blood. Crit Rev Biomed Eng 2005; 33(3): 209-264.
2. Lloyd BB, Michel CC. A theoretical treatment of the carbon dioxide dissociation curve of true plasma in vitro. Respir Physiol 1966; 1:107-120.
3. 2 equilibrium curve. Am J Physiol 1970; 219(1):37-44.
4. Burton RF. The role of buffers in body fluids: mathematical analysis. Respir Physiol 1973; 18:34-42.
5. Siggaard Andersen O. The Acid-Base Status of the Blood. Munksgaard, Copenhagen, 1974.
6. Sato T, Ikeda N, Tsuruta H, Shirataka M. Theoretical analysis of "metabolic indices" of blood buffer system. Am J Physiol 1983; 244:R492-R499.
7. Jones NL. A quantitative physicochemical approach to acid-base physiology. Clin Biochem 1990; 23:189-195.
8. Rees SE, Andreassen S, Hovorka R, Summers R, Carson ER. Acid-base chemistry of the blood-a general model. Comput Methods Progr Biomed 1996; 51:107-119.
9. Wooten EW. Calculation of physiological acid-base parameters in multicompartment systems with application to human blood. J Appl Physiol 2003; 95:2333-2344.
10. Farhi LE, Rahn H. Dynamics of changes in carbon dioxide stores. Anesthesiology 1960; 21:6:604-614.
11. Summers IR, Ward J. Carbon dioxide transport in the body-a simple electrical analogue. Med Biol Eng Comput 1985; 23(4):301-305
12. Despopoulos A, Silbernagl S. Color Atlas of Physiology. Thieme, New York, 1991.
13. Witdeb E. Functions of the vascular system. In: Schmidt RF, Thews G, editors. Human Physiology. Springer Verlag, New York, 1983.
14. Burton RF. Differences in pH between interstitial fluid and arterial blood in water-breathing and air-breathing vertebrates. Physiol Biochem Zool 2001, 74(4):607-615.
15. Farhi LE. Gas stores of the body. In: Fenn WO, Rahn H, editors. Handbook of Physiology: Section 3, Respiration. American Physiological Society, Washington DC, 1964.
16. Nunn J.F. Nunn's Applied Respiratory Physiology, Butterworth, UK, 1997.
17. Burton RF. The roles of intracellular buffers and bone mineral in the regulation of acid-base balance in mammals. Comp Biochem Physiol 1992; 102A:425-432.
18. Burton RF. The role of intracellular buffers in acid-base disturbances: mathematical modeling. Respir Physiol 1980; 39:45-61.
19. Piiper J. Buffering of lactic acid produced in exercising muscle. In: Gibert A, Guille P, editors. Symposium on the Onset of Exercise, Toulose, 1972.
20. Gunn RB. Buffer equilibria in red blood cells. In: Seldin DW, Giebisch G, editors. The Regulation of Acid-Base Balance. Raven Press, New York, 1989.
21. Manfredi F. Calculation of total body intracellular pH in normal human subjects from the distribution of 5,5,dimethyl-2,4-oxazolidinedione (DMO). J Lab Clin Med 1963; 61(6):1005-1014.
22. 2 equilibration of homogenates. Respir Physiol 1971; 12:169-178.
23. Gamble JL. Moving more closely to acid-base relationships in the body as a whole Perspect Biol Med 1996; 39(4):593-600.
24. Manfredi F. Effects of hypocapnia and hypercapnia on intracellular acid-base equilibrium in man. J Lab Clin Med 1967; 69(2):304-312.
25. Rees SE, Kjærgaard S, Andreassen S. Mathematical modeling of pulmonary gas exchange. In: Carson ER, Cobelli C, editors. Modeling Methodology for Physiology and Medicine. Academic Press, New York, 2001.
26. Wagner PD, Saltzmann HA, West JB. Measurement of continues distributions of ventilation-perfusion ratios: theory. J Appl Physiol 1974; 36(5):588-599.
27. Guyton AC, Hall JE. Textbook of Medical Physiology, Tenth Edition. W.B. Saunders, Philadelphia, PA, 2000.
28. 2 after step reduction of ventilation. Respir Physiol 1968; 5:243-249.
29. 2 for restoration of spontaneous breathing after artificial ventilation of anaesthetized patients. Br J Anaesth 1969; 41: 28-37.
30. Brackett NC, Cohen JJ, Schwartz WB. Carbon dioxide titration curve of normal man: effects of increasing degrees of acute hypercapnia on acid-base equilibrium. N Engl J Med 1965; 272(1):6-12.
31. Bauer C, Schröder E. Carbamino compounds of haemoglobin in human adult and fetal blood. J Physiol 1972; 227:457-471.
32. Rossi-Bernadi L, Roughton FJW. The specific influence of carbon dioxide and carbamate compounds on the buffer power and bohr effects in human heamoglobin solutions. J Physiol 1967; 189:1-29.
33. Sullivan SF, Patterson RW, EM Papper. Arterial tension adjustment following hyperventilation. J Appl Physiol 1966; 21:247-250.
34. 2 washout during hyperventilation in man. Respir Physiol 1969; 7:163-172.
35. Michel CC, Lloyd BB, Cunningham DJC. The in vivo carbon dioxide dissociation curve of true plasma. Respir Physiol 1966; 1:121-137.
36. Mithoefer JC, Karetzky MS, Porter WF. The in vivo carbon dioxide curve in the presence of hypoxia. Respir Physiol 1968; 4:15-23.
37. Koeppen BM. Renal regulation of acid-base balance. Am J Physiol 1998; 275:S132-S141.
38. Burton RF. Intracellular buffering. Respir Physiol 1978; 33:51-58.
39. 2 tension or extracellular bicarbonate concentration. J Clin Invest 1965; 44:8-20.
40. The Math Works Inc. MATLAB reference manual, 2003.
41. Rees SE, Allerød C, Kjærgaard S, Toft E, Thorgaard P, Andreassen S. Diagnosing patient state in intensive care patients using the Intelligent Ventilator (INVENT) system. In: Quaglini S, Barahona P, Andreassen S. Artificial intelligence in medicine, 8th Conference on Artificial Intelligence in Medicine in Europe, AIME, 2001, Springer: 131-135.
42. Allerod CW, Rees SE, Rasmussen BS, Kjaergaard S, Andreassen S. Retrospective evaluation of a system for adjustment of ventilator settings. Int Care Med 2003; 29(1), S168.