Some relations between thyroid disease and genetics

Man and His Future: G. Wolstenholme, Editor. Little, Brown and Co., Boston, 1963. 410 pp.

Revolution in Biology: John Maddox. Macmillan, New York, 1964. 179 pp., $5.00.

Proceedings of the First European Symposium, Sommerville College, Oxford: Bone and Tooth: H. J. J. Blackwood, Editor. Pergamon Press, New York, 1964. 425 pp., $15.00.

The Population Crisis and the Use of World Resources. Stuart Mudd, Editor; Hugh Boyko, Robert C. Cook, Larry Ng, W. Taylor Thom, Jr., Associate Editors. World Academy of Art and Science. Dr. W. Junk Publishers, The Hague, 1964. xix + 562 pp.     

Evolutionary considerations of DNA repair in relation to mutagenesis, teratogenesis and carcinogenesis.

Living organisms have various mechanisms for repairing spontaneous and mutagen-induced damage in DNA. Mutagenesis, teratogenesis, and carcinogenesis are discussed in relation to DNA misrepair. The existence of highly efficient genetic mechanisms for tolerating environmental threats is argued from evolutionary viewpoints.     

The interpretation of site-directed mutagenesis experiments by linear free energy relations

Fersht and co-workers have applied a linear free energy relation (Br?nsted equation) to analyze site-directed mutagenesis experiments involving the enzyme tyrosyl-tRNA synthetase and have suggested that the Br?nsted exponent is linearly correlated with the value of the reaction coordinate at the transition state. We point out that when the mutants differ solely through the formation or deletion of a hydrogen bond away from the reaction center, a linear free energy relation is expected only in limiting cases for which the Br?nsted relation exponent is 0, 1 or infinity. The results may be correlated with a conformational coordinate but not with the development of the reaction coordinate per se.     

On relations between sets

With a view to future applications in relational biology, the notion of relations between sets is introduced and several theorems are demonstrated.     

Some algebraic relations between involutions,convolutions, and correlations,with applications to holographic memories

Convolutions * and correlations # in spacesH of doubly infinite sequences are related bya#b=S(a * Sb), whereS is an involution which reflects the order in the integral domainZ on which the sequences are defined. This relation can be used to represent a non-associative correlation algebra 〈H, #〉 by an associative convolution algebra equipped with the involutionS which, as is shown, greatly simplifies derivations. Related matrix representations of #, *,S are given for sequences with finite support in Re ⁿ . Some implications for holographic memory models are discussed. An erratum to this article is available at .