The previously given systems-theoretic model for the synthesis of optical antipodes (AD and AL) in strongly asymmetric yield, which shows mono- or bistable behaviour depending on the degree of "openess" of the chemical reaction system is reconsidered for two equal compartments (subscripts 1 and 2 on A) with coupling by diffusion. In this configuration three threshold values, j1<j2<j3, for the influx j of the common precursor substance appear. For j<j1 only one steady state (s.s.) with no optical activity (A i D =A i L , i=1;2) and equal distribution of the antipodes in both compartments (A 1 D =A 2 D , A 1 L =A 2 L ) exists. For j<j2, this totally symmetric s.s. becomes unstable and a pair of s.s. with optical activity (A 1 D < A 1 L , A 2 D < A 2 L or A 1 D > A 1 L , A 2 D > A 2 L ) but no spatial asymmetry emerges (parallel flipping), i.e. both compartments behave as a whole, showing a preponderance of either the D- or the L-form. For j>j2 in addition two new s.s. are possible with antiparallel flipping (A 1 D < A 1 L , A 2 D > A 2 L or A 1 D > A 1 L , A 2 D < A 2 L ) i.e. in one compartment the D-form has the majority and in the other one the L-form, but these are stable only beyond a third threshold value j3. A third thinkable pair with no optical activity, but different sum concentrations in both cells, does not exist in this special circuitry, but can be obtained in a slightly changed arrangement. So for j>j3, 5 different (4 stable, 1 unstable) s.s. exist for the same set of parameters, one of which is chosen by the system.
This is a preview of subscription content, log in to check access.
Buy single article
Instant access to the full article PDF.
Price includes VAT for USA
Subscribe to journal
Immediate online access to all issues from 2019. Subscription will auto renew annually.
This is the net price. Taxes to be calculated in checkout.
Decker, P. (1973a). Nature, New Biol. 241, 72
Decker, P. (1973b). J.Mol.Evol. 2, 137
Decker, P. (1973c). 4th Int.Conf.on the Origin of Life, Barcelona
Frank, F.C. (1953). Biochim.biophys.Acta 11, 459
Harrison, L.G. (1973). J.theoret.Biol. 39, 333
Kacser, H. (1960). Symp.Soc.exptl.Biol. 14, 13
Kacser, H. (1963). In: Biological organization at the cellular and supercellular level, R.J.C. Harris, ed. N.Y., London: Academic Press
Prigogine, I., Nicolis, G. (1967). J.Chem.Phys. 46, 3542
Prigogine, I., Lefever, R. (1968). J.Chem.Phys. 48, 1695
Seelig, F.F. (1971a). J.theoret.Biol. 31, 355
Seelig, F.F. (1971b). J.theoret.Biol. 32, 93
Seelig, F.F. (1972). J.theoret.Biol. 34, 1972
Seelig, F.F., Rössler, O.E. (1972). Z.Naturforsch. 27b, 1441
Turing, A.M. (1952). Phil.Trans.R.Soc.B 237, 37
About this article
Cite this article
Seelig, F.F., Zielke, R. Five simultaneous steady states in a flipping two-compartment-system with optical antipodes. J Mol Evol 6, 117–129 (1975). https://doi.org/10.1007/BF01732292
- Multiple Steady States
- Flipping System
- Optical Antipodes
- Diffusion Coupling
- Dissipative Structure