The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
What is special about autocatalysis?
Open accessAbstract
The notion of autocatalysis has been introduced by the German chemist Wilhelm Ostwald [ 1 ] for the characterization of reactions that show an acceleration of the rate as a function of time. Autocatalytic reactions, however, were never popular in conventional chemistry and chemical technology mainly for two reasons: (1) autocatalysis gives rise to positive feedback, which is difficult to control and to handle in large reactors, and (2) autocatalytic systems may show complex dynamical phenomena such as bistability, oscillations, deterministic chaos, and spontaneous formation of spatial patterns or waves, which are not desirable in chemical production. The whole collection of these phenomena has been called nonlinear chemical dynamics by Irving Epstein and others [ 2 , 3 ]. In the second half of the twentieth century, however, complex dynamics and its embedding in thermodynamics have been shifted into the center of physical interest. Experimental chemical reaction systems showing nonlinear phenomena, in particular oscillations and spatial pattern formation, were investigated [ 4 , 5 ]. Autocatalysis was recognized as a basis for self-organization and has been extensively discussed in the context of models for the origin of life [ 6 ]. Oscillations in chemical reactions have been reported earlier [ 7 ] but these were singular studies and they took place in heterogeneous media. Beginning around 1960 with the studies of Boris Belousov and Anatol Zhabotinskii on a chemical reaction that exhibits oscillations in homogeneous solution, investigations on chemical self-organization became popular. Since then, a true wealth of experimental works and many theoretical studies on nonlinear chemical dynamics were performed [ 3 ].
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There is an inevitable requirement for autocatalysis as a mechanism for population amplification.
“an inevitable requirement for autocatalysis [411] as a mechanism for population amplification”
From Fundamental constraints to the logic of living systems (2024) · cites this paper as [411]
Citations
Cites
Selforganization of matter and the evolution of biological macromolecules
Eigen, M. (1971) · Die Naturwissenschaften · doi:10.1007/bf00623322 · Cited by 3,788
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Research works printed but not linked: 30
- Ostwald W (1890) Ber Verh Kgl Sächs Ges Wiss Leipzig. Math Phys Class 42:189
- Epstein IR, Pojman JA (1998) An introduction to nonlinear chemical dynamics Oscillations, waves, patterns, and chaos. Oxford University Press, New York · DOI
- Sagués F, Epstein IR (2003) J Chem Soc Dalton Trans 2003:1201 · DOI
- Zhabotinsky AM (1991) Chaos 1:379 · DOI
- Castets V, Dulos E, Boissonade J, De Kepper P (1990) Phys Rev Lett 64:2953 · DOI · Paper page
- Ostwald W (1900) Z Phys Chem 35:33 · DOI
- Joyce GF (2007) Angew Chem Int Ed 46:6420 · DOI
- Biebricher CK (1983) Evol Biol 16:1
- Biebricher CK, Eigen M, William C, Gardiner WC Jr (1983) Biochemistry 22:2544 · DOI
- Field RJ, Körös E, Noyes RM (1972) J Am Chem Soc 94:8649 · DOI
- Field RJ, Noyes RM (1974) J Chem Phys 60:1877 · DOI
- Turing AM (1952) Philos Trans R Soc Lond B 237:37 · DOI · Paper page
- Walgraef D (2012) Spatio-temporal pattern formation. With examples from physics, chemistry, and materials science. Springer, New York
- Kingsland S (1982) Quart Rev Biology 57:29 · DOI
- Schuster P (2010) Theory Biosci 130:71 · DOI
- Schmidt LD (2005) The engineering of chemical reactions, 2nd edn. Oxford University Press, New York
- Arslan E, Laurenzi IJ (2008) J Chem Phys 128:e015101 · DOI
- de Pasquale F, Tartaglia P, Tombesi P (1980) Lett Nuovo Cimento 28:141 · DOI
- Verhulst P-F (1838) Corresp Math Phys 10:113
- Verhulst P-F (1847) Mèm Acad R Sci Lett Beaux-Arts Belg 20:1
- Malthus TR (1798) An essay of the principle of populations as it affects the future improvement of society. J Johnson, London
- Darwin C (1859) On the origin of species by means of natural selection or the preservation of favoured races in the struggle for life. John Murray, London · DOI
- Wallace AR (1870) Contributions to the theory of natural selection, 2nd edn. Macmillan, London
- Lloyd PJ (1967) Popul Stud 21:99 · DOI
- Fisher RA (1930) The genetical theory of natural selection. Oxford University Press, Oxford · DOI · Paper page
- Biebricher CK, Eigen M, Luce R (1981) J Mol Biol 148:391 · DOI
- Gassner B, Schuster P (1982) Monatsh Chem 113:237 · DOI
- Gillespie DT (2007) Annu Rev Phys Chem 58:35 · DOI
- Gibson MA, Bruck J (2000) J Phys Chem A 104:1876 · DOI
- Shapiro BE, Levchenko A, Meyerowitz EM, World BJ, Mjolsness ED (2003) Bioinformatics 19:677 · DOI
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Fundamental constraints to the logic of living systems
Solé, R., Kempes, C. P., Corominas-Murtra, B., De Domenico, M., Kolchinsky, A., Lachmann, M., Libby, E., Saavedra, S., Smith, E., & Wolpert, D. (2024) · Interface Focus · doi:10.1098/rsfs.2024.0010 · Cited by 34
“These would include (along with the thermodynamic laws discussed in §2) (i) an inevitable requirement for autocatalysis [411] as a mechanism for population amplification, (ii) the emergence of molecular heterogeneity as a pre-condition for population dynamics, and (iii) the phase transition to…”
Background
Metadata
- Authors
- Schuster, P.
- Affiliations
- University of Vienna (AT)
- Corresponding author
- Schuster, Peter
- ORCID
- Schuster, Peter
- Venue
- Monatshefte für Chemie - Chemical Monthly
- Published
- 2019-05
- Volume
- 150
- Issue
- 5
- Pages
- 763-775
- ISSN
- 0026-9247 (ISSN-L)
- 1434-4475
- OpenAlex
- W2944229360
- Cited by
- 50
- References
- 1
- Citations by year
- 2026: 2 · 2025: 6 · 2024: 8 · 2023: 8 · 2022: 3 · 2021: 10 · 2020: 13
- FWCI
- 3.56
- Type
- journal article
- Language
- en
- Open access
- hybrid
- doi.org
- Licence
- Locations
- Monatshefte für Chemie - Chemical Monthly (publishedVersion, cc-by)
- Phaidra (Universität Wien) (submittedVersion, cc-by-nc-nd)
- Funders
- Santa Fe Institute
- Universität Wien
- Topics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Nonlinear Dynamics and Pattern Formation
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Complex Systems and Dynamics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Origins and Evolution of Life
- Keywords
- autocatalysis, nonlinear chemical dynamics, chemical oscillations, self-organization, Belousov-Zhabotinsky reaction, bistability, deterministic chaos, spatial patterning, origin of life, positive feedback
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