year
- Roughton, Francis John Worsley (1899 - 1972):
Diffusion and chemical reaction velocity as joint factors in determining the rate of uptake of oxygen and carbon monoxide by the red blood corpuscle.
Proceedings of the Royal Society of London, Series B, 111 (1932) 1 - 36
1950
- Kreuzer, Ferdinand:
Ueber die Gültigkeit des Fickschen Gesetzes bei der Diffusion des Sauerstoffs in dünnen Schichten hochkonzentrierter Hämoglobinlösungen.
Dissertation, Zürich (Aloys Müller), 1950
- Nicolson, Phyllis, and Roughton, Francis John Worsley:
A theoretical study of the influence of diffusion and chemical reaction velocity on the rate of exchange of carbon monoxide and oxygen between the red blood corpuscle and the surrounding fluid.
Proceedings of the Royal Society of London, Series B, 138 (1951) 241 - 264
- Turing, Alan Mathison (23.06.1912 - 07.06.1954):
The chemical basis of morphogenesis.
Philosophical transactions Royal Society London, Series B, 237 (1952) 37 - 72
Bulletin of Mathematical Biology, 52 (1990) 153 - 197 (reprinted)
- Hearon, John Z.:
Nonlinear diffusion in metabolic systems.
Bull. Math. Biophysics, 15 (1953) 15 - 21
- Thews, Gerhard (1926 – 2003):
Eine Methode zur mathematischen Behandlung der O2-Diffusion in hämoglobin- und myoglobinhaltiger Lösungen.
Die Naturwissenschaften, 43 (1956) 160 - 160
- Bird, R. Byron (Wisconsin):
Theory of Diffusion.
Advances in Chemical Engineering, 1 (1956) 155 - 239
- Klug, Aaron, Kreuzer, Ferdinand, and Roughton, Francis John Worsley:
Simultaneous diffusion and chemical reaction in thin layers of hemoglobin solutions.
Proceedings of the Royal Society of London, Series B, 145 (1956) 452 - 472
- Toor, H.L.:
Diffusion in three-component gas mixtures.
American Institute of Chemical Engineers
>> A.I.Ch.E. Journal, 3 (1957) 198 - 207
Zitat: "... diffusion barrier (the rate of diffusion of a component is zero even though its concentration gradient is not zero);"
- Thews, Gerhard (1926 – 2003):
Ein Verfahren zur Berechnung des O2-Diffusionskoeffizienten aus Messungen der Sauerstoffdiffusion in Hämoglobin- und Myoglobin-Lösungen.
Pflügers Archiv, 265 (1957) 138 - 153
- Thews, Gerhard, und Niesel, W.:
Zur Theorie der Sauerstoffdiffusion im Erythrocyten.
Pflügers Archiv, 268 (1959) 318 - 333
- Wittenberg, Jonathan B.:
Oxygen transport - a new function proposed for myoglobin.
Biological Bulletin, 117 (1959) 402 - 403
- Roughton, Francis John Worsley (1899 - 1972):
Diffusion and simultaneous chemical reaction velocity in haemoglobin solutions and red cell suspensions.
Progress in Biophysics and Biophysical Chemistry, 9 (1959) 55 - 104
- Toor, H.L., and Chiang, S.H.:
Diffusion-controlled chemical reactions.
>> A.I.Ch.E. Journal, 5 (1959) 339 - 344
1960
- Scholander, Per F.:
Oxygen transport through hemoglobin solutions. - How does the presence of hemoglobin in a wet membrane mediate an eightfold increase in oxygen passage?
Science, 131 (1960) 585 - 590
- Hemmingsen, Edvard, and Scholander, Per F.:
Specific transport of oxygen through hemoglobin solutions. - Why is this transport abolished when opposed by a slight back pressure of oxygen?
Science, 132 (1960) 1379 - 1381
- Olander, Donald R.:
Simultaneous mass transfer and equilibrium chemical reaction.
>> A.I.Ch.E. Journal, 6 (1960) 233 - 239
- Collins, R.E.:
Transport of gases through hemoglobin solution.
>> Bull. Math. Biophys., 23 (1961) 223 - 232
- Fatt, Irving, and La Force, Richard Conley:
Theory of oxygen transport through hemoglobin solutions.
Science, 133 (1961) 1919 - 1921
Zitat: "The sum must be zero!"
- Wittenberg, Jonathan B.:
Facilitated diffusion of oxygen through haemerythrin solutions. (Letters to nature)
>> Nature, 199 (1963) 816 - 817
- La Force, Richard Conley, and Fatt, Irving:
Steady-state gas transport through hemoglobin solutions.
In M. Weissbluth (ed.), Biopolymers, Symposia Nr. 1 (1964) 555 - 562
Zitat: "... discover the appropriate differential equations and boundary conditions."
- Fox, M.A., and Landahl, H.D.:
Theory of hemoglobin facilitated oxygen transport.
>> Bull. Math. Biophysics, 27 Suppl. (1965) 183 - 190
- Zilversmit, D.B.:
Oxygen-hemoglobin system: A model for facilitated membranous transport.
>> Science, 149 (1965) 874 - 876
- Toor, H.L.:
Dual diffusion-reaction coupling in first order multicomponent systems.
Chemical Engineering Science, 20 (1965) 941 - 951
- Wittenberg, Jonathan B.:
Myoglobin-facilitated diffusion of oxygen.
J. Gen. Physiol., 49 (1965) 57 - 74
- Wittenberg, Jonathan B.:
The molecular mechanism of hemoglobin-facilitated oxygen diffusion.
>> Journal of Biological Chemistry, 241 (1966) 104 - 114
- Wyman, Jeffries (University of Rome):
Facilitated diffusion and the possible role of myoglobin as a transport mechanism.
>> Journal of Biological Chemistry, 241 (1966) 115 - 121
- Keller, Kenneth H., and Friedländer, S.K.:
The steady-state transport of oxygen through hemoglobin solutions.
>> J. Gen. Physiol., 49 (1966) 663 - 679
- La Force, Richard Conley:
Steady-State Diffusion in the Carbon Monoxide + Oxygen + Haemoglobin System.
Faraday Soc., 62 (1966) 1458 - 1468
Zitat 1: "... excellent agreement between theoretical prediction and experimental observation results "
Bemerkung 1: Verweis auf Crank: The Mathematics of Diffusion (1956)
Bemerkung 2: Transactions of the Faraday Society (founded in 1903 to promote the study of Sciences lying between Chemistry, Physics and Biology)
- La Force, Richard Conley, and Fatt, Irving:
Conditions for countergradient diffusion of oxygen through a hemoglobin barrier.
In: Chemical Engineering in Medicine and Biology.
Daniel Hershey (ed.) Plenum Publishing Corporation, New York (1967) 107 - 115
Bemerkung 1: Verweis auf Crank (1957) p 121, et.seq.
Bemerkung 2: Massive Kritik an Zilversmit (1965)
- Ulanowicz, Robert E., and Frazier, George C. Jr.:
Interphase transfer with non-equilibrium chemical reaction.
Chemical Engineering Science, 23 (1968) 1335 - 1346
- Hershey, Daniel and Karman, Terry:
Diffusion coefficients for oxygen transport in whole blood.
>> A.I.Ch.E. Journal, 14 (1968) 969 - 972
- Moll, Waldemar:
The influence of hemoglobin diffusion on oxygen uptake and release by red cells.
Respiration Physiology, 6,1 (1968) 1 - 15
- Thews, Gerhard (1926 - 2003):
Oxygen exchange in the erythrocythe.
Experientia, 23/5 (1968) 456 - 460
- Kutchai, Howard, and Staub, Norman C.:
Steady-state, hemoglobin-facilitated O2 transport in human erythrocytes.
>> J. Gen. Physiol., 53 (1969) 576 - 589
1970
- Frazier, George C. Jr., and Ulanowicz, Robert E.:
Film transfer with non-equilibrium chemical reaction.
Chemical Engineering Science, 25 (1970) 549 - 557
- Goddard, Joe D., Schultz, Jerome S., and Bassett, Robert J. (Ann Arbor):
On membrane diffusion with near-equilibrium reaction.
>> Chem(ical) Eng(ineering) Sci(ence), 25 (1970) 665 - 683
- Kutchai, Howard, Jacquez, John A., and Mather, Frances J.:
Nonequilibrium facilitated oxygen transport in hemoglobin solution.
>> Biophysical Journal, 10 (1970) 38 - 54
Stichwort: "Film thickness"
- Ulanowicz, Robert E., and Frazier, George C. jr.:
The transport of oxygen and carbon dioxide in hemoglobin systems.
Mathematical Biosciences, 7 (1970) 111 - 129
Stichwort: "Film thickness"
- Kreuzer, Ferdinand, and Hoofd, Louis:
Facilitated diffusion of oxygen in the presence of hemoglobin.
Respiration Physiology, 8 (1970) 280 - 302
- Kreuzer, Ferdinand:
Facilitated diffusion of oxygen and its possible significance - a review.
Respiration Physiology, 9 (1970) 1 - 30
- Kutchai, Howard:
Numerical study of oxygen uptake by layers of hemoglobin solution.
Respiration Physiology, 10 (1970) 273 - 284
- Ward, William J. III:
Analytical and experimental studies of facilitated transport.
>> A.I.Ch.E. Journal, 16 (1970) 405 - 410
- Wittenberg, Jonathan B.:
Myoglobin-facilitated oxygen diffusion: role of myoglobin in oxygen entry into muscle.
Physiol. Rev., 50 (1970) 559 - 636
- Murray, James Dickson, and Wyman, Jeffries:
Facilitated diffusion - the case of carbon monoxide.
>> J. of Biological Chemistry, 246 (1971) 5903 - 5906
- Ulanowicz, Robert E., and Frazier, George C. Jr.:
Transport through hemoglobin solutions: A sensitivity analysis.
J. theor. Biology, 32 (1971) 185 - 190
- Kutchai, Howard:
O2 uptake by 100 µ layers of hemoglobin solution. Theory vs. experiment.
Respiration Physiology, 11 (1971) 378 - 383
- Kreuzer, Ferdinand, and Hoofd, Louis:
Factors influencing facilitated diffusion of oxygen in the presence of hemoglobin and myoglobin.
Respiration Physiology, 15 (1972) 104 - 124
- Jacquez, John A., Kutchai, Howard, and Daniels, Eugene:
Hemoglobin-facilitated diffusion of oxygen: interfacial and thickness effects.
Respiration Physiology, 15 (1972) 166 - 181
Stichwort: "Film thickness"
- Smith, Kenneth A., Meldon, Jerry H., and Colton, Clark K. (MIT):
An analysis of carrier-facilitated transport.
>> A.I.Ch.E. Journal, 19 (1973) 102 - 111
Bemerkung: "thick film case" vs. "thin film case"
- Mitchell, P.J., and Murray, James D.:
Facilitated diffusion: the problem of boundary conditions.
>> Biophysik, 9 (1973) 177 - 190
- Yung, David, and Probstein, Ronald F.:
Similarity considerations in facilitated transport.
J. Phys. Chem., 77 (1973) 2201 - 2205
- Spaan, Jos A.E.:
Transfer of oxygen into haemoglobin solution.
>> Pflügers Archiv, 342 (1973) 289 - 306
- Weisz, Paul B.:
Diffusion and chemical transformation - an interdisciplinary excursion.
Science, 179 (1973) 433 - 440
- Colton, Clark K., Stroeve, Pieter, and Zahka, Joseph G.:
Mechanism of oxygen transport augmentation by hemoglobin.
J. Appl. Physiol., 35 (1973) 307 - 309
- Murray, James D.:
On the role of myoglobin in muscle respiration.
J. Theor. Biol., 47 (1974) 115 - 126
- Schultz, Jerome S., Goddard, Joe D., and Suchdeo, Shyam R.:
Facilitated transport via carrier mediated diffusion in membranes; Part I. Mechanistic aspects, experimental systems, and characteristic regimes. Review
>> A.I.Ch.E. Journal, 20 (1974) 417 - 445
- Goddard, Joe D., Schultz, Jerome S., and Suchdeo, Shyam R.:
Facilitated transport via carrier-mediated diffusion in membranes. Part II. Mathematical aspects and analyses.
>> A.I.Ch.E. Journal, 20.4 (1974) 625 - 646
- Wittenberg, Beatrice A., Wittenberg, Jonathan B., and Caldwell, Peter R.B.:
Role of myoglobin in the oxygen supply to red skeletal muscle.
>> J. Biol. Chem., 250 (1975) 9038 - 9043
- Murray, James Dickson:
Non-existence of wave solutions for the class of reaction-diffusion equations given by the Volterra interacting-populations with diffusion.
J. Theor. Biol., 52 (1975) 459 - 469
Zitat: "The first fundamental theoretical work on this coupling of diffusion with chemical reaction was by Turing (1952)."
- Stroeve, Pieter, Smith, Kenneth A., and Colton, Clark K.:
An analysis of carrier facilitated transport in heterogeneous media.
>> A.I.Ch.E. Journal, 22 (1976) 1125 - 1132
- Stroeve, Pieter, Colton, Clark K., and Smith, Kenneth A.:
Steady state diffusion of oxygen in red blood cells and model suspensions.
>> A.I.Ch.E. Journal, 22 (1976) 1133 - 1142
- Gijsbers, G.H., and Van Ouwerkerk, Hendrik J.:
Boundary layer resistance of steady state oxygen diffusion facilitated by a four-step chemical reaction with hemoglobin in solution.
>> Pflügers Archiv, 365 (1976) 231 - 241
- Taylor, B.A., and Murray, James D.:
Effect of the rate of oxygen consumption on muscle respiration.
>> J. Math. Biol., 4 (1977) 1 - 20
- Rubinow, Sol Isaac, and Dembo, Micah:
The facilitated diffusion of oxygen by hemoglobin and myoglobin.
>> Biophysical Journal, 18 (1977) 29 - 42
- Van Ouwerkerk, Hendrik J.:
Facilitated diffusion in a tissue cylinder with an anoxic region.
>> Pflügers Archiv, 372 (1977) 221 - 230
- Goddard, Joe D.:
Further applications of carrier-mediated transport theory - a survey.
>> Chemical Engineering Science, 32 (1977) 795 - 809
- Murray, James Dickson:
Lectures on nonlinear-differential-equation models in biology.
Clarendon Press, Oxford, 1977 (ISBN 0-19-853350-0)
Zitat (Seite 48): "For a full derivation of the diffusion equation see, for example, J. Crank, 1975, The mathematics of diffusion, Clarendon Press, Oxford."
- Hoofd, Louis, and Kreuzer, Ferdinand:
A new mathematical approach for solving carrier-facilitated steady-state diffusion problems.
>> J. Math. Biol., 8 (1979) 1 - 13
Zitat: "... the results are good only if conditions at the boundaries are predicted correctly."
- Smith, Douglas R., and Quinn, John A.:
The prediction of facilitation factors for reaction augmented membrane transport.
>> A.I.Ch.E. Journal, 25 (1979) 197 - 200
1980
- Fletcher, John E.:
On facilitated oxygen diffusion in muscle tissues.
>> Biophysical Journal, 29 (1980) 437 - 458
- Spaan, Jos A.E., Kreuzer, Ferdinand, and Hoofd, Louis:
A theoretical analysis of nonsteady-state oxygen transfer in layers of hemoglobin solution.
>> Pflügers Archiv, 384 (1980) 231 - 239
- Huxley, Virginia H., and Kutchai, Howard:
The effect of the red cell membrane and a diffusion boundary layer on the rate of oxygen uptake by human erythrocytes.
>> Journal of Physiology, 316 (1981) 75 - 83
- Nedelman, Jerry, and Rubinow, Sol I.:
Facilitated diffusion of oxygen and carbon monoxide in the large affinity regime.
>> Journal of Mathematical Biology, 12 (1981) 73 - 90
- Gonzalez-Fernandez, José M., and Atta, Susie E.:
Facilitated transport of oxygen in the presence of membranes in the diffusion path.
>> Biophysical Journal, 38 (1982) 133 - 141
- Kagawa, Tomoko, and Mochizuki, Masaji:
Numerical solution of partial differential equations describing oxygenation rate of red blood cell.
Japanese Journal of Physiology, 32 (1982) 197 - 218
Bemerkung: Unbewegliche Carrier
Zitat: "alternating-direction implicit method"
- Hanna, Ruth E., and Garner, J.B. (Lousiana Tech University, Ruston):
An analysis of facilitated-diffusion problems.
>> Mathematical Biosciences, 63 (1983) 9 - 20
- Jacquez, John A. (Ann Arbor, Michigan):
The physiological role of myoglobin: More than a problem in reaction-diffusion kinetics.
>> Mathematical Biosciences, 68 (1984) 57 - 97
- Kolkka, Robert W., and Salathé, Eric P.:
A mathematical analysis of carrier-facilitated diffusion.
Mathematical Biosciences, 71 (1984) 147 - 179
- Clark, Alfred Jr., Federspiel, William J., Clark, Patricia A.A., and Cokelet, Giles R.:
Oxygen delivery from red cells.
>> Biophysical Journal, 47 (1985) 171 - 181
- Ebel, Witta:
Carrier facilitated diffusion.
>> Journal of Mathematical Biology, 21 (1985) 243 - 271
- Wittenberg, Beatrice A., and Wittenberg, Jonathan B.:
Oxygen pressure gradients in isolated cardiac myocytes.
>> J. Biol. Chem., 260 (1985) 6548 - 6554
- Federspiel, William J.:
A model study of intracellular oxygen gradients in a myoglobin-containing skeletal muscle fiber.
>> Biophysical Journal, 49 (1986) 857 - 868
- Britton, Nicholas Ferris:
Reaction-diffusion equations and their applications to biology.
Academic, New York, 1986
Chapt. 9.3 Facilitation of Oxygen Diffusion into Muscle by Myoglobin, p. 240 - 247
- Federspiel, William J., and Popel, Aleksander S.:
A theoretical analysis of the effect of the particulate nature of blood on oxygen release in capillaries.
Microvascular Research, 32 (1986) 164 - 189
- Gonzalez-Fernandez, José M., and Atta, Susie E.:
Comparative facilitated transport of oxygen.
>> Am. J. Physiol., 251 (1986) R1 - R12
- Salathé, Eric P., and Kolkka, Robert W.:
Reduction of anoxia through myoglobin-facilitated diffusion of oxygen.
>> Biophysical Journal, 50 (1986) 885 - 894
- Wittenberg, Beatrice A., and Wittenberg, Jonathan B.:
Myoglobin-mediated oxygen delivery to mitochondria of isolated cardiac myocytes.
>> Proc. Natl. Acad. Sci. (USA), 84 (1987) 7503 - 7507
- Loiselle, Denis L. (New Zealand):
The effect of myoglobin-facilitated oxygen transport on the basal metabolism of papillary muscle.
>> Biophysical Journal, 51 (1987) 905 - 913
- Covell, David G., and Jacquez, John A.:
Does myoglobin contribute significantly to diffusion of oxygen in red skeletal muscle.
>> Am. J. Physiol., 252 (1987) R341 - R347
- Kreuzer, Ferdinand, and Hoofd, Louis:
Facilitated diffusion of oxygen and carbon dioxide.
In: Handbook of Physiology, Volume IV: Gas exchange. Chapter 6, p. 89 - 111
American Physiological Society, Bethesda, Maryland, 1987
Zitat: "... back pressure ... dilemma ... may be due to an artifact"
- Sen, Asok K.:
An analysis of carrier-facilitated transport through thin films of hemoglobin and myoglobin.
Mathematical Biosciences, 89 (1988) 1 - 7
- Popel, Aleksander S. (Johns Hopkins University, Baltimore):
Theory of oxygen transport to tissue.
Critical Reviews in Biomedical Engineering, 17,3 (1989) 257 - 321
1990
- Dowd, Michael K., Murali, Ramanathan, and Seagrave, Richard C.:
Effect of temperature on the myoglobin-facilitated transport of oxygen in skeletal muscle.
>> Biophysical Journal, 60 (1991) 160 - 171
- Feng, Wei:
Coupled system of reaction-diffusion equations and applications in carrier facilitated diffusion.
Nonlinear Analysis, Theory, Methods & Applications, 17 (1991) 285 – 311
- Sharan, Maithili, and Selvakumar, S.:
The effects of chemical kinetics on oxygen delivery to tissue.
>> Mathematical Biosciences, 108 (1992) 253 - 277
- Schubert, Roy W., and Fletcher, John E.:
Rethinking oxygen transport to tissue: model and experiment compared.
Comments Theoretical Biology, 3 (1993) 23 - 42
- Groebe, Karlfried:
An easy-to-use model for O2 supply to red muscle. Validity of assumptions, sensivity to errors in data.
>> Biophysical Journal, 68 (1995) 1246 - 1269 (Published Corrections)
- Bouwer, S.Th., Hoofd, Louis, and Kreuzer, Ferdinand:
Diffusion coefficients of oxygen and hemoglobin measured by facilitated oxygen diffusion throught hemoglobin solutions.
>> Biochim. Biophys. Acta, 1338 (1997) 127 - 136
2000
- Conley, Kevin E., Ordway, Gregory A., and Richardson, Russell S.:
Deciphering the mysteries of myoglobin in striated muscle. (Review)
>> Acta Physiol. Scand., 168 (2000) 623 - 634
- Bouwer, S.Th., Hoofd, Louis, and Kreuzer, Ferdinand:
Reaction rates of oxygen with hemoglobin measured by non-equilibrium facilitated oxygen diffusion through hemoglobin solutions.
>> Biochim. Biophys. Acta, 1525 (2001) 108 - 117
- Merx, Marc W., Flögel, Ulrich, Stumpe, Thomas, Gödecke, Axel, Decking, Ulrich K.M., and Schrader, Jürgen:
Myoglobin facilitates oxygen diffusion.
>> The FASEB Journal, published online 2001, 20 pages
>> The FASEB Journal, 15 (2001) 1077 - 1079
- Tilakaratne, H. Kushanie, Hunter, Stephen K., and Rodgers, Victor G.J.:
Mathematical modeling of myoglobin facilitated transport of oxygen in devices containing myoglobin-expressing cells.
>> Mathematical Biosciences, 176 (2002) 253 - 267
- Whiteley, Jonathan P., Gavaghan, David J., and Hahn, Clive E.W. (Oxford, UK):
Mathematical modelling of oxygen transport to tissue.
J. Math. Biol., 44 (2002) 503 - 522
- Wittenberg, Jonathan B., and Wittenberg, Beatrice A.:
Myoglobin function reassessed. (Review)
>> The Journal of Experimental Biology, 206 (2003) 2011 - 2020
- Chakraborty, Saikat, Balakotaiah, Vemuri, and Bidani, Akhil:
Diffusing capacity reexamined: relative roles of diffusion and chemical reaction in red cell uptake of O2, CO, CO2, and NO.
>> J Appl Physiol, 97 (2004) 2284 - 2302
Zitat 1: "... coupled convection-diffusion-reaction (CDR) of gas and hemoglobin in the RBC"
Zitat 2: "... the fundamental CDR equations that describe the transport and reaction rate processes of the reactive gas and hemoglobin in the RBC."
- Ansari, A. H.:
Facilitated oxygen diffusion in muscle fibre.
>> Current Science, 95 (2008) 751 - 759
First Author
- Ansari, A. H.:
Facilitated oxygen diffusion in muscle fibre.
>> Current Science, 95 (2008) 751 - 759
- Bird, R. Byron (Wisconsin):
Theory of Diffusion.
Advances in Chemical Engineering, 1 (1956) 155 - 239
- Bouwer, S.Th., Hoofd, Louis, and Kreuzer, Ferdinand:
Diffusion coefficients of oxygen and hemoglobin measured by facilitated oxygen diffusion throught hemoglobin solutions.
>> Biochim. Biophys. Acta, 1338 (1997) 127 - 136
- Bouwer, S.Th., Hoofd, Louis, and Kreuzer, Ferdinand:
Reaction rates of oxygen with hemoglobin measured by non-equilibrium facilitated oxygen diffusion through hemoglobin solutions.
>> Biochim. Biophys. Acta, 1525 (2001) 108 - 117
- Britton, Nicholas Ferris:
Reaction-Diffusion Equations and their applications to Biology.
Academic, New York, 1986
Chapt. 9.3 Facilitation of Oxygen Diffusion into Muscle by Myoglobin, p. 240 - 247
- Chakraborty, Saikat, Balakotaiah, Vemuri, and Bidani, Akhil:
Diffusing capacity reexamined: relative roles of diffusion and chemical reaction in red cell uptake of O2, CO, CO2, and NO.
>> J Appl Physiol, 97 (2004) 2284 - 2302
Zitat 1: "... coupled convection-diffusion-reaction (CDR) of gas and hemoglobin in the RBC"
Zitat 2: "... the fundamental CDR equations that describe the transport and reaction rate processes of the reactive gas and hemoglobin in the RBC."
- Clark, Alfred Jr., Federspiel, William J., Clark, Patricia A.A., and Cokelet, Giles R.:
Oxygen delivery from red cells.
>> Biophysical Journal, 47 (1985) 171 - 181
- Collins, R.E.:
Transport of gases through hemoglobin solution.
>> Bull. Math. Biophys., 23 (1961) 223 - 232
- Colton, Clark K., Stroeve, Pieter, and Zahka, Joseph G.:
Mechanism of oxygen transport augmentation by hemoglobin.
J. Appl. Physiol., 35 (1973) 307 - 309
- Conley, Kevin E., Ordway, Gregory A., and Richardson, Russell S.:
Deciphering the mysteries of myoglobin in striated muscle. (Review)
>> Acta Physiol. Scand., 168 (2000) 623 - 634
- Covell, David G., and Jacquez, John A.:
Does myoglobin contribute significantly to diffusion of oxygen in red skeletal muscle.
>> Am. J. Physiol., 252 (1987) R341 - R347
- Dowd, Michael K., Murali, Ramanathan, and Seagrave, Richard C.:
Effect of temperature on the myoglobin-facilitated transport of oxygen in skeletal muscle.
>> Biophysical Journal, 60 (1991) 160 - 171
- Ebel, Witta:
Carrier facilitated diffusion.
>> Journal of Mathematical Biology, 21 (1985) 243 - 271
- Fatt, Irving, and La Force, Richard Conley:
Theory of oxygen transport through hemoglobin solutions.
Science, 133 (1961) 1919 - 1921
- Federspiel, William J., and Popel, Aleksander S.:
A theoretical analysis of the effect of the particulate nature of blood on oxygen release in capillaries.
Microvascular Research, 32 (1986) 164 - 189
- Federspiel, William J.:
A model study of intracellular oxygen gradients in a myoglobin-containing skeletal muscle fiber.
>> Biophysical Journal, 49 (1986) 857 - 868
- Feng, Wei:
Coupled system of reaction-diffusion equations and applications in carrier facilitated diffusion.
Nonlinear Analysis, Theory, Methods & Applications, 17 (1991) 285 – 311
- Fletcher, John E.:
On facilitated oxygen diffusion in muscle tissues.
>> Biophysical Journal, 29 (1980) 437 - 458
- Fox, M.A., and Landahl, H.D.:
Theory of hemoglobin facilitated oxygen transport.
>> Bull. Math. Biophysics, 27 Suppl. (1965) 183 - 190
- Frazier, George C. Jr., and Ulanowicz, Robert E.:
Film transfer with non-equilibrium chemical reaction.
Chemical Engineering Science, 25 (1970) 549 - 557
- Gijsbers, G.H., and Van Ouwerkerk, H.J.:
Boundary layer resistance of steady state oxygen diffusion facilitated by a four-step chemical reaction with hemoglobin in solution.
>> Pflügers Archiv, 365 (1976) 231 - 241
- Goddard, Joe D., Schultz, Jerome S., and Bassett, Robert J.:
On membrane diffusion with near-equilibrium reaction.
>> Chem(ical) Eng(ineering) Sci(ence), 25 (1970) 665 - 683
- Goddard, Joe D., Schultz, Jerome S., and Suchdeo, Shyam R.:
Facilitated transport via carrier-mediated diffusion in membranes. Part II. Mathematical aspects and analyses.
>> A.I.Ch.E. Journal, 20.4 (1974) 625 - 646
- Goddard, Joe D.:
Further applications of carrier-mediated transport theory - a survey.
>> Chemical Engineering Science, 32 (1977) 795 - 809
- Gonzalez-Fernandez, José M., and Atta, Susie E.:
Facilitated transport of oxygen in the presence of membranes in the diffusion path.
>> Biophysical Journal, 38 (1982) 133 - 141
- Gonzalez-Fernandez, José M., and Atta, Susie E.:
Comparative facilitated transport of oxygen.
>> Am. J. Physiol., 251 (1986) R1 - R12
- Groebe, Karlfried:
An Easy-to-Use Model for O2 Supply to Red Muscle. Validity of Assumptions, Sensivity to Errors in Data.
>> Biophysical Journal, 68 (1995) 1246 - 1269 (Published Corrections)
- Hanna, Ruth E., and Garner, J.B. (Lousiana Tech University, Ruston):
An analysis of facilitated-diffusion problems.
>> Mathematical Biosciences, 63 (1983) 9 - 20
- Hearon, John Z.:
Nonlinear diffusion in metabolic systems.
Bull. Math. Biophysics, 15 (1953) 15 - 21
- Hemmingsen, Edvard, and Scholander, Per F.:
Specific Transport of Oxygen Through Hemoglobin Solutions. - Why is this transport abolished when opposed by a slight back pressure of oxygen?
Science, 132 (1960) 1379 - 1381
- Hershey, Daniel and Karman, Terry:
Diffusion Coefficients for Oxygen Transport in Whole Blood.
>> AIChE Journal, 14 (1968) 969 - 972
- Hoofd, Louis, and Kreuzer, Ferdinand:
A new mathematical approach for solving carrier-facilitated steady-state diffusion problems.
>> J. Math. Biol., 8 (1979) 1 - 13
Zitat: "... the results are good only if conditions at the boundaries are predicted correctly."
- Huxley, Virginia H., and Kutchai, Howard:
The effect of the red cell membrane and a diffusion boundary layer on the rate of oxygen uptake by human erythrocytes.
>> Journal of Physiology, 316 (1981) 75 - 83
- Jacquez, John A., Kutchai, Howard, and Daniels, Eugene:
Hemoglobin-facilitated diffusion of oxygen: interfacial and thickness effects.
>> Respiration Physiology, 15 (1972) 166 - 181
- Jacquez, John A. (Ann Arbor, Michigan):
The physiological role of myoglobin: More than a problem in reaction-diffusion kinetics.
>> Math. Biosci., 68 (1984) 57 - 97
- Kagawa, Tomoko, and Mochizuki, Masaji:
Numerical solution of partial differential equations describing oxygenation rate of red blood cell.
Japanese Journal of Physiology, 32 (1982) 197 - 218
Bemerkung: Unbewegliche Carrier
Zitat: "alternating-direction implicit method"
- Keller, Kenneth H., and Friedländer, S.K.:
The steady-state transport of oxygen through hemoglobin solutions.
>> J. Gen. Physiol., 49 (1966) 663 - 679
- Klug, Aaron, Kreuzer, Ferdinand, and Roughton, Francis John Worsley:
Simultaneous diffusion and chemical reaction in thin layers of hemoglobin solutions.
Proceedings of the Royal Society of London, Series B, 145 (1956) 452 - 472
- Kolkka, Robert W., and Salathé, Eric P.:
A mathematical analysis of carrier-facilitated diffusion.
Math. Biosci., 71 (1984) 147 - 179
- Kreuzer, Ferdinand:
Ueber die Gültigkeit des Fickschen Gesetzes bei der Diffusion des Sauerstoffs in dünnen Schichten hochkonzentrierter Hämoglobinlösungen.
Dissertation, Zürich (Aloys Müller), 1950
- Kreuzer, Ferdinand:
Facilitated Diffusion of Oxygen and its possible Significance; a Review.
Respiration Physiology, 9 (1970) 1 - 30
- Kreuzer, Ferdinand, and Hoofd, Louis:
Facilitated diffusion of oxygen in the presence of hemoglobin.
Respiration Physiology, 8 (1970) 280 - 302
- Kreuzer, Ferdinand, and Hoofd, Louis:
Facilitated diffusion of oxygen and carbon dioxide.
In: Handbook of Physiology, Volume IV: Gas exchange. Chapter 6, p. 89 - 111
American Physiological Society, Bethesda, Maryland, 1987
Zitat: "... back pressure ... dilemma ... may be due to an artifact"
- Kreuzer, Ferdinand, and Hoofd, Louis:
Factors influencing facilitated diffusion of oxygen in the presence of hemoglobin and myoglobin.
Respiration Physiology, 15 (1972) 104 - 124
- Kutchai, Howard, Jacquez, John A., and Mather, Frances J.:
Nonequilibrium facilitated oxygen transport in hemoglobin solution.
>> Biophysical Journal, 10 (1970) 38 - 54
- Kutchai, Howard, and Staub, Norman C.:
Steady-state, hemoglobin-facilitated O2 transport in human erythrocytes.
>> J. Gen. Physiol., 53 (1969) 576 - 589
- Kutchai, Howard:
Numerical study of oxygen uptake by layers of hemoglobin solution.
Respiration Physiology, 10 (1970) 273 - 284
- Kutchai, Howard:
O2 uptake by 100 µ layers of hemoglobin solution. Theory vs. experiment.
Respiration Physiology, 11 (1971) 378 - 383
- La Force, Richard Conley, and Fatt, Irving:
Steady-State gas transport through hemoglobin solutions.
In M. Weissbluth (ed.), Biopolymers, Symposia Nr. 1 (1964) 555 - 562
Zitat: "... discover the appropriate differential equations and boundary conditions."
- La Force, Richard Conley:
Steady-State Diffusion in the Carbon Monoxide + Oxygen + Haemoglobin System.
Faraday Soc., 62 (1966) 1458 - 1468
Zitat 1: "... excellent agreement between theoretical prediction and experimental observation results"
Bemerkung 1: Verweis auf Crank: The Mathematics of Diffusion (1956)
Bemerkung 2: Transactions of the Faraday Society (founded in 1903 to promote the study of Sciences lying between Chemistry, Physics and Biology)
- La Force, Richard Conley, and Fatt, Irving:
Conditions for countergradient diffusion of oxygen through a hemoglobin barrier.
In: Chemical Engineering in Medicine and Biology.
Daniel Hershey (ed.) Plenum Publishing Corporation, New York (1967) 107 - 115
- Loiselle, Denis L. (New Zealand):
The Effect of Myoglobin-facilitated Oxygen Transport on the Basal Metabolism of Papillary Muscle.
>> Biophysical Journal, 51 (1987) 905 - 913
- Merx, Marc W., Flögel, Ulrich, Stumpe, Thomas, Gödecke, Axel, Decking, Ulrich K.M., and Schrader, Jürgen:
Myoglobin facilitates oxygen diffusion.
>> The FASEB Journal, published online 2001, 20 pages
>> The FASEB Journal, 15 (2001) 1077 - 1079
- Mitchell, P.J., and Murray, James D.:
Facilitated diffusion: the problem of boundary conditions.
>> Biophysik, 9 (1973) 177 - 190
- Moll, Waldemar:
The influence of hemoglobin diffusion on oxygen uptake and release by red cells.
Respiration Physiology, 6,1 (1968) 1 - 15
- Murray, James Dickson, and Wyman, Jeffries:
Facilitated Diffusion - The case of carbon monoxide.
>> J. of Biological Chemistry, 246 (1971) 5903 - 5906
- Murray, James D.:
On the role of myoglobin in muscle respiration.
J. Theor. Biol., 47 (1974) 115 - 126
- Murray, James Dickson:
Non-Existence of Wave Solutions for the Class of Reaction-Diffusion Equations Given by the Volterra Interacting-Populations with Diffusion.
J. Theor. Biol., 52 (1975) 459 - 469
Zitat: "The first fundamental theoretical work on this coupling of diffusion with chemical reaction was by Turing (1952)."
- Murray, James Dickson:
Lectures on nonlinear-differential-equation models in biology.
Clarendon Press, Oxford, 1977 (ISBN 0-19-853350-0)
Zitat (Seite 48): "For a full derivation of the diffusion equation see, for example, J. Crank, 1975, The mathematics of diffusion, Clarendon Press, Oxford."
- Nedelman, Jerry, and Rubinow, Sol I.:
Facilitated diffusion of oxygen and carbon monoxide in the large affinity regime.
>> Journal of Mathematical Biology, 12 (1981) 73 - 90
- Nicolson, Phyllis, and Roughton, Francis John Worsley:
A theoretical study of the influence of diffusion and chemical reaction velocity on the rate of exchange of carbon monoxide and oxygen between the red blood corpuscle and the surrounding fluid.
Proceedings of the Royal Society of London, Series B, 138 (1951) 241 - 264
- Olander, Donald R.:
Simultaneous mass transfer and equilibrium chemical reaction.
>> A.I.Ch.E. Journal, 6 (1960) 233 - 239
- Popel, Aleksander S. (Johns Hopkins University, Baltimore):
Theory of Oxygen Transport to Tissue.
Critical Reviews in Biomedical Engineering, 17,3 (1989) 257 - 321
- Roughton, Francis John Worsley (1899 - 1972):
Diffusion and chemical reaction velocity as joint factors in determining the rate of uptake of oxygen and carbon monoxide by the red blood corpuscle.
Proceedings of the Royal Society of London, Series B, 111 (1932) 1 - 36
- Roughton, Francis John Worsley (1899 - 1972):
Diffusion and simultaneous chemical reaction velocity in haemoglobin solutions and red cell suspensions.
Progress in Biophysics and Biophysical Chemistry, 9 (1959) 55 - 104
- Rubinow, Sol Isaac, and Dembo, Micah:
The facilitated diffusion of oxygen by hemoglobin and myoglobin.
>> Biophysical Journal, 18 (1977) 29 - 42
- Salathé, Eric P., and Kolkka, Robert W.:
Reduction of Anoxia through Myoglobin-facilitated Diffusion of Oxygen.
>> Biophysical Journal, 50 (1986) 885 - 894
- Scholander, Per F.:
Oxygen Transport through Hemoglobin Solutions. - How does the presence of hemoglobin in a wet membrane mediate an eightfold increase in oxygen passage?
Science, 131 (1960) 585 - 590
- Schubert, Roy W., and Fletcher, John E.:
Rethinking Oxygen Transport to Tissue: Model and Experiment Compared.
Comments Theoretical Biology, 3 (1993) 23 - 42
- Schultz, Jerome S., Goddard, Joe D., and Suchdeo, Shyam R.:
Facilitated transport via carrier mediated diffusion in membranes; Part I. Mechanistic aspects, experimental systems, and characteristic regimes. Review
>> A.I.Ch.E. Journal, 20 (1974) 417 - 445
- Sen, Asok K.:
An analysis of carrier-facilitated transport through thin films of hemoglobin and myoglobin.
Mathematical Biosciences, 89 (1988) 1 - 7
- Sharan, Maithili, and Selvakumar, S.:
The Effects of Chemical Kinetics on Oxygen Delivery to Tissue.
>> Mathematical Biosciences, 108 (1992) 253 - 277
- Smith, Kenneth A., Meldon, Jerry H., and Colton, Clark K. (MIT):
An analysis of carrier-facilitated transport.
>> A.I.Ch.E. Journal, 19 (1973) 102 - 111
Bemerkung: "thick film case" vs. "thin film case"
- Smith, Douglas R., and Quinn, John A.:
The prediction of facilitation factors for reaction augmented membrane transport.
>> A.I.Ch.E. Journal, 25 (1979) 197 - 200
- Spaan, Jos A.E.:
Transfer of oxygen into haemoglobin solution.
>> Pflügers Archiv, 342 (1973) 289 - 306
- Spaan, Jos A.E., Kreuzer, Ferdinand, and Hoofd, Louis:
A theoretical analysis of nonsteady-state oxygen transfer in layers of hemoglobin solution.
>> Pflügers Archiv, 384 (1980) 231 - 239
- Stroeve, Pieter, Smith, Kenneth A., and Colton, Clark K.:
An analysis of carrier facilitated transport in heterogeneous media.
>> A.I.Ch.E. Journal, 22 (1976) 1125 - 1132
- Stroeve, Pieter, Colton, Clark K., and Smith, Kenneth A.:
Steady state diffusion of oxygen in red blood cells and model suspensions.
>> A.I.Ch.E. Journal, 22 (1976) 1133 - 1142
- Taylor, B.A., and Murray, James D.:
Effect of the rate of oxygen consumption on muscle respiration.
>> J. Math. Biol., 4 (1977) 1 - 20
- Thews, Gerhard:
Eine Methode zur mathematischen Behandlung der O2-Diffusion in hämoglobin- und myoglobinhaltiger Lösungen.
Die Naturwissenschaften, 43 (1956) 160 - 160
- Thews, Gerhard:
Ein Verfahren zur Berechnung des O2-Diffusionskoeffizienten aus Messungen der Sauerstoffdiffusion in Hämoglobin- und Myoglobin-Lösungen.
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- Thews, Gerhard, und Niesel, W.:
Zur Theorie der Sauerstoffdiffusion im Erythrocyten.
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- Tilakaratne, H. Kushanie, Hunter, Stephen K., and Rodgers, Victor G.J.:
Mathematical modeling of myoglobin facilitated transport of oxygen in devices containing myoglobin-expressing cells.
>> Mathematical Biosciences, 176 (2002) 253 - 267
- Toor, H.L.:
Diffusion in three-component gas mixtures.
American Institute of Chemical Engineers
>> A.I.Ch.E. Journal, 3 (1957) 198 - 207
Zitat: "... diffusion barrier (the rate of diffusion of a component is zero even though its concentration gradient is not zero);"
- Toor, H.L., and Chiang, S.H.:
Diffusion-controlled chemical reactions.
>> A.I.Ch.E. Journal, 5 (1959) 339 - 344
- Toor, H.L.:
Dual diffusion-reaction coupling in first order multicomponent systems.
Chemical Engineering Science, 20 (1965) 941 - 951
- Turing, Alan Mathison (23.06.1912 - 07.06.1954):
The chemical basis of morphogenesis.
Philosophical transactions Royal Society London, Series B, 237 (1952) 37 - 72
Bulletin of Mathematical Biology, 52 (1990) 153 - 197 (reprinted)
- Ulanowicz, Robert E., and George C. Frazier, Jr.:
Interphase transfer with non-equilibrium chemical reaction.
Chemical Engineering Science, 23 (1968) 1335 - 1346
- Ulanowicz, Robert E., and Frazier, George C. Jr.:
The transport of oxygen and carbon dioxide in hemoglobin systems.
Mathematical Biosciences, 7 (1970) 111 - 129
Stichwort: "Film thickness"
- Ulanowicz, Robert E., and Frazier, George C. Jr.:
Transport through hemoglobin solutions: A sensitivity analysis.
J. theor. Biology, 32 (1971) 185 - 190
- Van Ouwerkerk, Hendrik J.:
Facilitated Diffusion in a Tissue Cylinder with an Anoxic Region.
>> Pflügers Archiv, 372 (1977) 221 - 230
- Ward, William J. III:
Analytical and experimental studies of facilitated transport.
>> A.I.Ch.E. Journal, 16 (1970) 405 - 410
- Weisz, Paul B.:
Diffusion and Chemical Transformation - An interdisciplinary excursion.
Science, 179 (1973) 433 - 440
- Whiteley, Jonathan P., Gavaghan, David J., and Hahn, Clive E.W. (Oxford, UK):
Mathematical modelling of oxygen transport to tissue.
J. Math. Biol., 44 (2002) 503 - 522
- Wittenberg, Jonathan B.:
Oxygen transport - a new function proposed for myoglobin.
Biological Bulletin, 117 (1959) 402 - 403
- Wittenberg, Jonathan B.:
Facilitated diffusion of oxygen through Haemerythrin Solutions. (Letters to nature)
Nature, 199 (1963) 816 - 817
- Wittenberg, Jonathan B.:
Myoglobin-facilitated diffusion of oxygen.
J. Gen. Physiol., 49 (1965) 57 - 74
- Wittenberg, Jonathan B.:
The molecular mechanism of hemoglobin-facilitated oxygen diffusion.
>> J. Biol. Chem., 241 (1966) 104 - 114
- Wittenberg, Jonathan B.:
Myoglobin-facilitated oxygen diffusion: role of myoglobin in oxygen entry into muscle.
Physiol. Rev., 50 (1970) 559 - 636
- Wittenberg, Beatrice A., Wittenberg, Jonathan B., and Caldwell, Peter R.B.:
Role of myoglobin in the oxygen supply to red skeletal muscle.
>> J. Biol. Chem., 250 (1975) 9038 - 9043
- Wittenberg, Beatrice A., and Wittenberg, Jonathan B.:
Oxygen pressure gradients in isolated cardiac myocytes.
>> J. Biol. Chem., 260 (1985) 6548 - 6554
- Wittenberg, Beatrice A., and Wittenberg, Jonathan B.:
Myoglobin-mediated oxygen delivery to mitochondria of isolated cardiac myocytes.
>> Proc. Natl. Acad. Sci. (USA), 84 (1987) 7503 - 7507
- Wittenberg, Jonathan B., and Wittenberg, Beatrice A.:
Myoglobin function reassessed. (Review)
>> The Journal of Experimental Biology, 206 (2003) 2011 - 2020
- Wyman, Jeffries:
Facilitated diffusion and the possible role of myoglobin as a transport mechanism.
>> J. Biol. Chem., 241 (1966) 115 - 121
- Yung, David, and Probstein, Ronald F.:
Similarity considerations in facilitated transport.
>> J. Phys. Chem., 77 (1973) 2201 - 2205
- Zilversmit, D.B.:
Oxygen-Hemoglobin System: A Model for Facilitated Membranous Transport.
>> Science, 149 (1965) 874 - 876
