Abstract
In the past, biological reactions have usually been assumed to be rate-limited by collision of the reacting molecules in solution. However, it is well known that all cells contain solids (particles and membranes). It therefore seems unreasonable to limit oneself to solution processes. One ought to consider the possibility that some biological processes may occur in, or at, the surfaces of solids. Starting from the hypothesis that a biological reaction may be rate-limited by ohmic conduction of electrons across an enzyme particle, or by the Tafel overvoltage equation for conduction across a liquid-solid interface (like an electrode surface), equations for reduction of substrate as a function of time have been derived. These kinetic equations are different from those of mass action theory, and describe the observed behaviour of various biological reactions such as cytochrome oxidase and various photobiological processes, all of which occur at the surfaces of particles or membranes. The correctness of this approach is supported measurements of electron mobilities in some of these biological solids by new techniques (microwave Hall effect and pulsed electron beam) and by the measurement of a low semi-conduction activation energy in cytochrome oxidase. The use of electrode overvoltage theory has also led to a correct prediction of the kinetics of non-equilibrium ion conduction across the cell surface. One then regards the cell surface not as a bag containing a solution, but rather as the surface of a mass of structured or semicrystalline cell water, in which associated or free alkali cations are analogous to valence and conduction electrons respectively in a semiconductor solid.
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References
F.W. Cope, Bull. Math. Biophys, 25, 165 (1963)
F.W. Cope, Arch. Biochem. Biophys. 103, 352 (1963)
F.W. Cope, J. Chem. Phys. 40, 2653 (1964)
F.W. Cope, Bull. Math. Biophys. 27, 237 (1965)
F.W. Cope, in “Oxidases and Related Redox Systems”, T.E. King, H.S. Mason and M. Morrison, eds., Wiley, New York (1965)
F.W. Cope and K.D. Straub, Bull. Math. Biophys. 31, 761
F.W. Cope, Adv. Biol. Med. Physics, 13, 1 (1970)
L. Smith and H. Conrad, Arch. Biochem. Biophys. 63, 403 (1956)
K. Minnaert, Biochem. Biophys. Acta, 50, 23 (1961)
J. Bettlestone, Arch. Biochem. Biophys. 89, 35 (1960)
K.D. Straub, “Semiconduction in Certain Proteins”, Ph.D. Thesis, Biochemistry Department, Duke University, Durham, North Carolina (1967)
J. Tafel, Z. Phys. Chem. 50, 641 (1905)
G. Kortüm and J.O. Bockris, “Textbook of Electrochemistry”, Vol. 2., Elsevier, Amsterdam (1951)
J.O. Bockris, in “Modern Aspects of Electrochemistry”, J.O. Bockris and B.E. Conway eds., Butterworths, London (1954)
D.R. Turner, in “The Electrochemistry of Semiconductors” (ed. by P.J. Homes, ed., Academic Press, London (1962)
F.W. Cope, Bull. Math. Biophys. 33, 39 (1971)
S.Z. Roginsky and J. Zeldovich, Acta Physiocochem. USSR, 1, 554 (1934)
S. Elovich, J. Phys. Chem. USSR, 13, 1761 (1939)
F.W. Cope, Proc. Nat. Acad. Sci. (USA), 51, 809 (1964)
A.V. Vannikov and L.I. Boguslavskii, Biofizika, 14, 421 (1969)
L.I. Boguslavskii and A. V. Vannikov, “Organic Semiconductors and Biopolymers”, Plenum, New York (1970)
E.M. Trukhan, Pribory i Tekhnika Eksperimenta (Experimental Instruments and Techniques), 4, pages 198–203(1965)
E.M. Trukhan, Biofizika, 11, 412 (1966)
D.D. Eley and R. Pethig, Discussions of Faraday Society, 51, 164 (1971)
D.D. Eley and R. Pethig, J. Bioenergetics, 2, 39 (1972)
E.M. Trukhan, N.F. Perewoschikof and M.A. Ostrowski, Biofizika, 15, 1052 (1970)
D.D. Eley, R.J. Meyer and R. Pethig, J. Bioenergetics, 3 271,
D.D. Eley, R.J. Meyer and R. Pethig, J. Bioenergetics, 4, 389
S.Y. Chai and P.O. Vogelhut, J. Appl. Physics, 38, 613 (1967)
R. Pethig, J. Biol. Physics, 1, 193 (1973)
A. Szent-Györgyi, Science, 93, 609 (1941)
F.W. Cope, Bull. Math. Biophys. 33, 579 (1971)
F.W. Cope, J. Biol. Physics, 3, 1 (1975)
F.W. Cope, Bull. Math. Biophys. 27, 99 (1965)
F.W. Cope, Bull. Math. Biophys. 29, 691 (1967)
G.N. Ling, Amer. J. Phys. Med. 34, 89 (1955)
G.N. Ling, Internat. Rev. Cytol. 26, 1 (1961)
L. Minkoff and R. Damadian, Biophys. J. 13, 167 (1973)
3R. Damadian, Ann. N.Y. Acad. Sci. 204, 249 (1973)
R. Damadian, CRC Crit. Rev. Microbiol, pages 377–422 (March 1973)
C.B. Bratton, A.L. Hopkins and J.W. Weinberg, Science, 147, 738
F.W. Cope, Biophys. J. 9, 303, (1969)
C.F. Hazelwood, B.L. Nichols and N.F. Chamberlain, Nature, 222, 747 (1969)
F.W. Cope, Nature, New Biology, 237, 215 (1972)
P.S. Belton, R.R. Jackson and K.J. Packer, Biochem. Biophys. Acta. 286, 16 (1972)
C.F. Hazelwood, D.C. Chang, B.L. Nichols and D.E. Woessner, Biophys. J. 14, 583 (1974)
F.W. Cope, Biophys. J. 10, 843 (1970)
R. Damadian and F.W. Cope, Physiol. Chem. and Physics, 5, 511
F.W. Cope and R. Damadain, Physiol. Chem. and Physics, 6, 17 (1974)
R. Damadian and F.W. Cope, Physiol. Chem. and Physics, 6, 309 (1974)
M.J. Kushmerick and R.J. Podolsky, Science, 166, 1297 (1966)
G.N. Ling and M.M. Ochsenfeld, Science, 181, 78 (1973)
G.N. Ling, “A Physical Theory of the Living State1”, Blaisdell, New York (1960)
R. Damadian, Biophys. J. 11, 773 (1973)
G.N. Ling, Ann. N.Y. Acad. Sci. 204, 6 (1973)
R. Damadian, Ann. N.Y. Acad. Sci. 204, 211 (1973)
A.S. Troshin, “Problems of Cell Permeability”, Pergamon, London (1966)
G.N. Ling, J. Gen. Physiol. 49, 819 (1966)
F.W. Cope, Bull. Math. Biophys. 27, 99 (1965)
F.W. Cope, Bull. Math. Biophys. 29, 691 (1967)
G.N. Ling, in. Ling, in “Phosphorus Metabolism” (Vol. 2 ), W.D. McElroy and B. Glass, eds., John Hopkins, Baltimore (1952)
D.N. Nasonov, “Local Reaction of Protoplasm and Gradual Excitation”, Nat. Sci. Foundation, Washington, D.C. (1962)
G.N. Ling and G. Bohr, Biophys. J. 10, 519 (1970)
A.S. Troshin, “Problems of Cell Permeability”, Pergamon, London (1966)
F.W. Cope, Proc. Nat. Acad. Sci. 54, 225 (1965)
F.W. Cope, J. Gen. Physiol., 50, 1353 (1967)
L. Minkoff and R. Damadian, Physiol. Chem. and Physics, 81, 349 (1976)
F.W. Cope, Bull. Math. Biophys. 31, 529 (1969)
A.L. Hodgkin and A.L. Huxley, J. Physiol. 117, 500 (1952)
F.W. Cope, Physiol. Chem. and Physics, 8, 519 (1976)
G. Karreman, Bull. Math. Biophys. 33, 483 (1971)
M. Avrami, J. Chem. Phys. 7, 1103 (1939)
M. Avrami, J. Chem. Phys. 8, 212 (1940)
M. Avrami, J. Chem. Phys. 9, 177 (1941)
W.A. Johnson and R.F. Mehl, Trans. Am. Inst. Mining (Metall.) Eng. 135, 416 (1939)
J.W. Christian, “The Theory of Transformations in Metals and Alloys”, Pergamon, London (1975)
V. Raghavan and M. Cohen, in. Cohen, in “Treatise on Solid State Chemistry”, Vol. 5, N.B. Hannay, ed., Plenum, New York (1975)
P. Duhaj, D. Barancok and A. Ondrejka, J. Non-Cryst. Solids, 21, 411 (1976)
F.W. Cope, Physiol. Chem. and Physics, 9, 155 (1977)
F.W. Cope, Physiol. Chem. and Physics, 9, 383 (1977)
F.W. Cope, Physiol. Chem. and Physics, 9, 443 (1977)
R. Damadian, Science, 171, 1151 (1971)
R. Damadian, K. Zaner, D. Hor, and T. DiMaio, Physiol. Chem. and Physics, 5, 381 (1973)
R. Damadian, K. Zaner, D. Hor, and T. DiMaio, Proc. Nat. Acad. Sci. (USA), 71, 1471 (1974)
R. Damadian, U.S. Patent, 3,789,832, filed March 17, 1972
R. Damadian, L. Minkoff, M. Goldsmith, A. Stanford and J. Koutcher, Physical. Chem. and Physics, 8, 61 (1976)
R. Damadian, L. Minkoff, M. Goldsmith and J.A. Koutcher, Naturwissenschaften, 65, 250 (1978)
R. Damadian, L. Minkoff and M. Goldsmith, Physiol. Chem. and Physics, 10, 561 (1978)
R. Damadian, M. Goldsmith and L. Minkoff, Physiol. Chem. and Physics, 10, 285 (1978)
F.W. Cope, Physiol. Chem. and Physics, 9, 547 (1977)
F.W. Cope, Physiol. Chem. and Physics 11, 93 (1979)
M. Gerson, Physiol. Chem. and Physics, 10, 449 (1978)
F.W. Cope, Physiol. Chem. and Physics, 10, 465 (1978)
L. Naftalin, Physiol. Chem. and Physics, 11, 95 (1979)
N. Chalazonitis, Photochem. Photobiol. 3, 539 (1964)
F.W. Cope, Proc. Nat. Acad. Sci. (USA), 61, 905 (1968)
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Cope, F.W. (1980). Overvoltage and Solid State Kinetics of Reactions at Biological Interfaces. Cytochrome Oxidase, Photobiology, and Cation Transport. Therapy of Heart Disease and Cancer. In: Keyzer, H., Gutmann, F. (eds) Bioelectrochemistry. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-3117-9_18
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DOI: https://doi.org/10.1007/978-1-4613-3117-9_18
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