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Selforganization of matter and the evolution of biological macromolecules

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References

  1. Watson, J. D., Crick, F. H. C.: Nature177, 964 (1953).

    Google Scholar 

  2. Kornberg, A.: Science163, 1410 (1969).

    Google Scholar 

  3. de Lucia, P., Cairns, J.: Nature224, 1164 (1969).

    Google Scholar 

  4. Transcription of Genetic Material. Cold Spring Harbor Symp. Quant. Biol.35 (1970).

  5. Holley, R. W., Apgar, J., Everett, G. A., Madison, J. T., Marquisee, M., Merril, S. H., Penswick, J. R., Zamir, A.: Science147, 1462 (1965).

    Google Scholar 

  6. Zachau, H. G., Dütting, D., Feldmann, H.: Angew. Chem.78, 392 (1966).

    Google Scholar 

  7. Rajbhandari, V. L., Stuart, A., Faulkner, R. D., Chang, S. H., Khorana, H. G.: Cold Spring Harbor Symp. Quant. Biol.31, 425 (1966).

    Google Scholar 

  8. Yarus, M., Berg, P.: J. Mol. Biol.42, 171 (1969).

    Google Scholar 

  9. Nomura, M., in: Scientific American, December 1969 and The Neurosciences, 2nd Study Program (ed. by F. O. Schmitt). New York: The Rockefeller University Press 1970, p. 913.

    Google Scholar 

  10. Garret, R. A., Wittmann, H. G., in: Aspects of Protein Biosynthesis (ed. by T. B. Anfinsen). New York: Academic Press 1971.

    Google Scholar 

  11. Jacob, F., Monod, J.: J. Mol. Biol.3, 318 (1961).

    Google Scholar 

  12. Gilbert, W., Müller-Hill, B.: Proc. Nat. Acad. Sci. USA56, 1891 (1966);58, 2415 (1967).

    Google Scholar 

  13. Riggs, A. D., Bourgeois, S., Cohn, M.: J. Mol. Biol.53, 401 (1970).

    Google Scholar 

  14. Watson, J. D.: The Molecular Biology of the Gene. New York: W. A. Benjamin, Inc. 1970.

    Google Scholar 

  15. Molekularbiologie (ed. by Th. Wieland and G. Pfleiderer). Frankfurt: Umschau-Verlag 1969.

  16. Wigner, E., in: The Logic of Personal Knowledge. Essays presented to Michael Polanyi on his seventieth birthday 11th March 1961 (ed. by E. Shils). Glencoe, Ill.: Free Press 1961.

    Google Scholar 

  17. Wiener, N.: Cybernetics (German translation: Kybernetik). Düsseldorf-Wien: Econ Verlag 1963.

    Google Scholar 

  18. Brillouin, L.: Science and Information Theory. New York: Academic Press 1963.

    Google Scholar 

  19. Nishimura, S., Jones, S. D., Khorana, H. G.: J. Mol. Biol.13, 302 (1965).

    Google Scholar 

  20. Nirenberg, M. W., Matthaei, J. H.: Proc. Nat. Acad. Sci. USA47, 1588 (1961).

    Google Scholar 

  21. Ochoa, S., in: Horizons in Biochemistry (ed. by M. Kasha and B. Pullman). New York: Academic Press 1962.

    Google Scholar 

  22. Crick, F. H. C.: J. Mol. Biol.19, 548 (1966).

    Google Scholar 

  23. Shannon, C. E.: Bell System Tech. J.30, 50 (1951). Shannon, C. E., Weaver, W.: The Mathematical Theory of Communication. Urbana: Univ. of Illinois Press 1949.

    Google Scholar 

  24. Dutta, M.: Physics Today21, 75 (1968).

    Google Scholar 

  25. Schroedinger, E.: What is Life? Cambridge University Press 1944 (German edition: Leo Lehnen Verlag, München 1951).

  26. Darwin, C.: The Origin of Species, chapter 4, London 1872: Reprinted by Collier MacMillan Ltd., London 1959, pg. 91.

  27. Darwin, C.: ibid. The Origin of Species, chapter 15, London 1872: Reprinted by Collier MacMillan Ltd., London 1959, pg. 476.

  28. Fisher, R. A.: Proc. Roy. Soc. B141, 510 (1953).

    Google Scholar 

  29. Haldane, J. B. S.: Proc. Camb. Phil. Soc.23, 838 (1927).

    Google Scholar 

  30. Wright, S.: Evolution in Mendelian Populations. Genetics16, 97 (1931). cf. also: Bull. Am. Math. Soc.48, 233 (1942).

    Google Scholar 

  31. Perutz, M.: Nature228, 726 (1970).

    Google Scholar 

  32. Crick, F. H. C.: Of Molecules and Men. Seattle-London: Univ. of Washington Press 1966.

    Google Scholar 

  33. Oparin, A. I.: Origin of Life. Moscow 1924. Genesis and Evolutionary Development of Life. New York: Academic Press 1968.

    Google Scholar 

  34. Calvin, M.: Chemical Evolution. Oxford: Clarendon Press 1969.

    Google Scholar 

  35. Fox, S. W.: Science132, 200 (1960); Naturwissenschaften56, 1 (1969).

    Google Scholar 

  36. Ponnamperuma, C., Gabel, N. W.: Space Life Sci.1, 64 (1968). Ponnamperuma, C., Sagan, C., Mariner, R.: Nature199, 222 (1963).

    Google Scholar 

  37. Crick, F. H. C.: J. Mol. Biol.38, 367 (1968).

    Google Scholar 

  38. Orgel, L.: J. Mol. Biol.38, 381 (1968).

    Google Scholar 

  39. Schramm, G., in: The Origins of Prebiological Systems (ed. by S. W. Fox). New York: Academic Press 1965, p. 229.

    Google Scholar 

  40. Schneider-Bernloehr, H., Lohrmann, R., Sulston, J., Orgel, L. E., Miles, H. T.: J. Mol. Biol.37, 151 (1968).

    Google Scholar 

  41. Paecht-Horowitz, M., Berger, J., Katchalsky, A.: Nature228, 636 (1970).

    Google Scholar 

  42. Meixner, J.: Ann. Phys.43, 470 (1943); Kolloid Z.134, 3 (1953).

    Google Scholar 

  43. Prigogine, I.: Etude Thermodynamique des Processus Irréversibles. Liège: Desoer 1947.

    Google Scholar 

  44. de Groot, S. R.: Thermodynamics of Irreversible Processes. Amsterdam: North Holland Publ. Co. 1952.

    Google Scholar 

  45. Onsager, L.: Phys. Rev.37, 405 (1931);38, 2265 (1931).

    Google Scholar 

  46. Glansdorff, P., Prigogine, I.: Thermodynamic Theory of Structure, Stability and Fluctuations. New York: Wiley Interscience 1971.

    Google Scholar 

  47. Eigen, M., in: Les Prix Nobel en 1967, pg. 151. Stockholm 1969.

  48. Jost, W.: Z. Naturforsch.20, 159 (1947); Z. phys. Chem.105, 317 (1950).

    Google Scholar 

  49. Prigogine, I., in: Theoretical Physics and Biology (ed. by M. Marois). Amsterdam: North Holland Publ. Co. 1969.

    Google Scholar 

  50. Winkler, R., Eigen, M.: in preparation.

  51. Fresco, J. R., Alberts, B. M., Doty, P.: Nature188, 98 (1960).

    Google Scholar 

  52. Volterra, V.: Leçons sur la théorie mathématique de la lutte pour la vie. Paris 1931.

  53. Kamke, E.: Differentialgleichungen, Lösungsmethoden und Lösungen. Leipzig 1944.

  54. Haldane, J. B. S.: The Cause of Evolution. Longman, Green and Co. 1932.

  55. Ross, R.: The Prevention of Malaria (1911), cf. Lotka, A. J.: Amer. J. Hygiene, January Suppl. (1923).

  56. Lotka, A. J.: Elements of Mathematical Biology. New York: Dover Publications 1956.

    Google Scholar 

  57. Jordan, P.: Die Physik und das Geheimnis des organischen Lebens. Braunschweig: F. Vieweg u. Sohn 1945.

    Google Scholar 

  58. Ramakrishnan, A., in: Encyclopedia of Physics, Vol. VIII/2, p. 524 (ed. by S. Flügge). Berlin: Springer 1959. Barlett, M. S.: Stochastic Processes. Cambridge 1955.

    Google Scholar 

  59. Ehrenfest, P., Ehrenfest, T.: Phys. Z.8, 311 (1907).

    Google Scholar 

  60. ter Haar, D., Green, C. D.: Proc. Phys. Soc. London A66, 153 (1953).

    Google Scholar 

  61. Kac, M.: Amer. Math. Monthly54, 369 (1947).

    Google Scholar 

  62. Klein, J. M.: Phys. Rev.103, 17 (1956).

    Google Scholar 

  63. Kohlrausch, K. W. F., Schrödinger, E.: Phys. Z.27, 306 (1926).

    Google Scholar 

  64. Münster, A., in: Encyclopedia of Physics, Vol. VIII/2, p. 218 (ed. by S. Flügge). Berlin: Springer 1959.

    Google Scholar 

  65. Bartholomay, A. F.: Bull. Math. Biophys.20, 97 (1958);20, 175 (1958);21, 363 (1959).

    Google Scholar 

  66. Delbrück, M.: J. Chem. Phys.8, 120 (1940).

    Google Scholar 

  67. McQuarrie, D. A.: Stochastical Approach to Chemical Kinetics. London: Methuen 1967.

    Google Scholar 

  68. Doob, J. L.: Stochastic Processes. New York: J. Wiley 1953.

    Google Scholar 

  69. Eigen, M., Pörschke, D.: J. Mol. Biol.53, 123 (1970); cf. also part II (Ref. [84]) and part III (in press).

    Google Scholar 

  70. Eigen, M.: Nobel Symposium 5 on Fast Reactions and Primary Processes in Chemical Kinetics (ed. by S. Claesson). Stockholm: Almquist & Wiksell Intersci. Publ. 1968.

    Google Scholar 

  71. Gibbs, J.: Advances in Chemical Physics (ed. by K. E. Shuler), pg. 185. New York: Interscience 1969.

    Google Scholar 

  72. Eigen, M., De Maeyer, L., in: Technique of Organic Chemistry, Vol. VII/2 (ed. by A. Weissberger). New York: Wiley Interscience 1963.

    Google Scholar 

  73. Kyogoku, Y., Lord, R. C., Rich, A.: Science154, 518 (1966); J. Amer. Chem. Soc.89, 496 (1967); Proc. Nat. Acad. Sci.57, 250 (1967). cf. also: Voet, D., Rich, A.: Progr. Nucleic Acid Res. Molec. Biol.10, 183 (1970).

    Google Scholar 

  74. Küchler, E., Derkosch, J.: Z. Naturforsch.21b, 209 (1966).

    Google Scholar 

  75. Funck, Th.: unpublished results.

  76. Eggers, F., Funck, Th., Hopmann, R.: unpublished results.

  77. Pörschke, D.: Diplom-thesis. Göttingen 1966.

  78. Pörschke, D.: Dissertation. Göttingen-Braunschweig 1968.

  79. Podder, S. K.: Biochemistry (to be published).

  80. Römer, R., Riesner, D., Coutts, S. M., Maass, G.: Europ. J. Biochem.15, 77, 85 (1970).

    Google Scholar 

  81. Römer, R., Riesner, D., Maass, G., Wintermayer, W., Thiebe, R., Zachau, H. G.: FEBS Letters5, 15, 23 (1969).

    Google Scholar 

  82. Philippsen, P., Thiebe, R., Wintermayer, W., Zachau, H. G.: Biochem. Biophys. Res. Commun.33, 922 (1968).

    Google Scholar 

  83. Uhlenbeck, O. C., Baller, J., Doty, P.: Nature225, 508 (1970).

    Google Scholar 

  84. Lewis, J. B., Doty, P.: Nature225, 510 (1970).

    Google Scholar 

  85. Martin, F., Pörschke, D., Uhlenbeck, O.: unpublished results.

  86. Applequist, J., Damle, V.: J. Amer. Chem. Soc.87, 1450 (1965).

    Google Scholar 

  87. Pörschke, D.: Biopolymers (in press).

  88. Blow, D. M., Birktoft, J. J., Hartley, B. S.: Nature221, 337 (1969).

    Google Scholar 

  89. Fox, S.: Naturwissenschaften56, 1 (1969).

    Google Scholar 

  90. Berger, A., Schechter, I.: Phil. Trans. Roy. Soc., LondonB 257, 249 (1970).

    Google Scholar 

  91. Lipmann, F., in: O. Meyerhoff Symposium, July 1970, Heidelberg.

  92. Monod, J., Wyman, J., Changeux, J. P.: J. Mol. Biol.12, 88 (1965).

    Google Scholar 

  93. Koshland, D. E., Nemethy, G., Filmer, D.: Biochemistry5, 365 (1966).

    Google Scholar 

  94. Kirschner, K., Eigen, M., Bittman, R., Voigt, B.: Proc. Nat. Acad. Sci. (Wash.)56, 1661 (1966).

    Google Scholar 

  95. Kirschner, K.: Curr. Topics Microbiol. Immunol.44, 124 (1968).

    Google Scholar 

  96. Eigen, M., Schuster, P.: (to be published).

  97. Oparin, A. I., in: The Origin of Prebiological Systems and of their Molecular Matrices (ed. by S. W. Fox). New York: Academic Press 1965, p. 331.

    Google Scholar 

  98. Fox, S. W., in: The Origin of Prebiological Systems and of their Molecular Matrices (ed. by S. W. Fox). New York: Academic Press 1965, p. 361.

    Google Scholar 

  99. Huang, C.: Biochemistry8, 344 (1969).

    Google Scholar 

  100. Träuble, H., Grell, E.: Neurosci. Res. Program Bull. 1971.

  101. Tsofina, L. E., Liberman, E. A., Babakov, A. V.: Nature212, 681 (1966); cf. also Delbrück, M., in: The Neurosciences. 2nd Study Program, p. 677. New York: The Rockefeller Univ. Press 1970.

    Google Scholar 

  102. Woese, C. R.: The Genetic Code. New York: Harper and Row 1967.

    Google Scholar 

  103. Crick, F. H. C.: The Genetic Code (ref. to the original frame shift experiment of S. Brenner and F. H. C. Crick), Scientific American, October 1962, cf. also [35].

  104. Crothers, D.: Personal communication (given at a seminar, Göttingen 1970).

  105. Rechenberg, I.: Dissertation. Technical University, Berlin 1970.

  106. Lipmann, F., in: The Origin of Prebiological Systems and of their Molecular Matrices, p. 259. New York: Academic Press 1965.

    Google Scholar 

  107. Edelman, M., Verma, I. M., Littauer, U. Z.: J. Mol. Biol.49, 67 (1970).

    Google Scholar 

  108. Woese, C. R.: Bio Science20, 471 (1970).

    Google Scholar 

  109. Spiegelman, S., in: The Neurosciences. 2nd Study Program (ed. by F. O. Schmitt). New York: The Rockefeller Univ. Press 1970.

    Google Scholar 

  110. Haruna, I., Nozu, K., Ohtaka, Y., Spiegelman, S.: Proc. Nat. Acad. Sci. USA50, 905 (1963);54, 579 (1965).

    Google Scholar 

  111. Spiegelman, S., Haruna, I., Holland, I. B., Beaudreau, G., Mills, D. R.: Proc. Nat. Acad. Sci. USA54, 919 (1965).

    Google Scholar 

  112. Levisohn, R., Spiegelman, S.: Proc. Nat. Acad. Sci. USA60, 866 (1968).

    Google Scholar 

  113. Weber, H., Weissmann, Ch.: Chimia24, 35 (1970).

    Google Scholar 

  114. Bishop, D. H. L., Mills, D. R., Spiegelman, S.: Biochemistry7, 3744 (1968).

    Google Scholar 

  115. Levisohn, R., Spiegelman, S.: Proc. Nat. Acad. Sci. USA63, 805 (1969).

    Google Scholar 

  116. Mills, D. R., Peterson, R. I., Spiegelman, S.: Proc. Nat. Acad. Sci. USA58, 217 (1967).

    Google Scholar 

  117. Orgel, L. E.: (personal communication by S. Spiegelman).

  118. Wittgenstein, L.: Tractatus Logico-Philosophicus, 7. London: Routledge and Kegan Paul 1922.

    Google Scholar 

  119. Carathéodory, C.: Math. Ann.67, 355 (1909).

    Google Scholar 

  120. Falk, G., Jung, H., in: Encyclopedia of Physics, Vol. III/2, p. 119 (ed. by S. Flügge). Berlin: Springer 1959.

    Google Scholar 

  121. Monod, J.: Le Hasard et la Nécessité. Paris: Seuil 1970.

    Google Scholar 

  122. v. Neumann, J.: Zur Theorie der Gesellschaftsspiele. Math. Ann.100, 295 (1928).

    Google Scholar 

  123. v. Neumann, J., Morgenstern, O.: Theory of Games and Economic Behavior. Princeton: Univ. Press 1953. Suchowitzki, S. I., Awdejewa, L. I.: Lineare und komplexe Programmierung. München: R. Oldenbourg 1969.

    Google Scholar 

  124. Lewontin, R. C.: J. Theoret. Biol.1, 382 (1961).

    Google Scholar 

  125. Warburton, F. E.: J. Theoret. Biol.16, 78 (1967).

    Google Scholar 

  126. Kimura, M.: Genet. Res. Camb.2, 127 (1961).

    Google Scholar 

  127. Mac Kay, D. M., in: Information, Mechanism and Meaning, chapter 12, pg. 132. Boston: M.I.T. Press 1969.

    Google Scholar 

  128. Waddington, C. H.: The Nature of Life. London: Unwin Books 1961.

    Google Scholar 

  129. Stent, G.: The Coming of the Golden Age. Garden City N. Y.: The Natural History Press 1969.

    Google Scholar 

  130. Kimura, M.: Nature217, 624 (1968).

    Google Scholar 

  131. King, J. L., Jukes, T. H.: Science164, 788 (1969).

    Google Scholar 

  132. Oparin, A. I.: Life: its Nature, Origin and Development. New York: Academic Press 1961.

    Google Scholar 

  133. v. Neumann, J.: Theory of self-reproducing automata. Urbana: Univ. Illinois Press 1966.

    Google Scholar 

  134. Wittgenstein, L.: Tractatus Logico-Philosophicus, 6.521. London: Routledge and Kegan Paul 1922.

    Google Scholar 

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Eigen, M. Selforganization of matter and the evolution of biological macromolecules. Naturwissenschaften 58, 465–523 (1971). https://doi.org/10.1007/BF00623322

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