By Bernd-Olaf Küppers, P. Wooley
The topic of this ebook is the physico-chemical idea of the foundation of lifestyles. even supposing this conception continues to be in statu nascendi, it's been constructed lately to the purpose the place a coherent presentation is feasible. The ebook is meant as an introductory textual content for college students of physics, chemistry or biology. This interdisciplinary objective has necessitated a call of fabric in line with the bottom universal denominator of physicists and biologists. particularly, the predominantly mathematical and organic sections were provided on the most basic l.evel attainable. the fewer mathematically susceptible reader can overlook Sections (5.3)-(5.5), (5.7)-(5.10), (6.2), (6.3), (9.1)-(9.3), (12.1) and (13.3) with no wasting the general view. For severe analyzing of the manuscript, for discussions and for lots of beneficial feedback I desire to thank M. Eigen (Gottingen), w.e. Gardiner (Austin), D. Porschke (Gottingen), P. Schuster (Vienna), P.R. Wills (Auckland) and P. Woolley (Berlin). the interpretation of the unique, German manuscript into English used to be kindly undertaken by way of Paul Woolley. in this and next levels of revision he brought an exceptional many advancements within the textual content and the presentation of fabric. My specific thank you are because of him for his decisive contribution to this booklet. final of all I desire to thank Ingeborg Lechten for typing the textual content in its a number of phases of evolution. The finishing touch of this booklet is essentially to be attributed to her endurance and efficiency.
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Additional resources for Molecular Theory of Evolution: Outline of a Physico-Chemical Theory of the Origin of Life
11) 1, ... 12) which in our model leads to the phenomenon of segregation: all species with 45 Ai > Di+
Let us demonstrate this with a numerical example. nucleic acids solution. A 1 mill imolar solution of is for primordial conditions certainly an unusually concentrated In a litre of this solution there are some 10 21 nucleic acid molecules. 5) would be well satisfied for a nucleic acid chain of 100 nucleotides (102l ~ 4100 ~ 1060 ). However, 100 nucleotides would not even suffice to encode the information needed to build a self-reproducing genetic apparatus. 5. Deterministic Theory of Selection We have emphasised more than once that the origin of biological information is above all a statistical problem: the principal question is how molecular self-organization can effect the choice of a particular polymer sequence out of an almost limitless number of alternatives.
39) for non-degenerate eigenvalues Ak ~ uik =c The constants Q f ~ ujk Q k eXP(Akt) Q k exp(Akt) ( i ,j 1, ••• ,N) k can be found from the initial conditions. 63) From Eq. 64) where uk~ are the elements of the inverse matrix U- 1 . 63). properties of the solutions If the mutation matrix ( ~ i) is symmetric (that is, ~ij ~jiforalli and j) then the matrix W is Hermitian and all the eigenvalues Ak are real. general, however, the symmetry condition is complex. This would in turn mean that the concentration variables xi In not met, and the eigenvalues may be oscillate in time.
Molecular Theory of Evolution: Outline of a Physico-Chemical Theory of the Origin of Life by Bernd-Olaf Küppers, P. Wooley