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A contribution to the methodology of biomathematics: information science approach to biomathematics, I
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In this article, the authors present a procedure for developing an information science approach to biomathematics and present five assertions that should be in agreement with the three requirements of Section 4 and that exemplify their attitude for developing biomatahematics from the standpoint of information science.Abstract:
Our general views on a procedure for developing an information science approach to biomathematics are presented. Sections 2 and 3 analyze in detail two important fields of mathematics, mathematical analysis and automaton theory, emphasizing that their lack of an information science aspect makes them unsatisfactory for formulating biomathematics. In Section 4 we give three requirements that biomathematics should satisfy in order to provide a mathematical foundation for biological existences and biological phenomena. Section 5 presents five assertions that should be in agreement with the three requirements of Section 4 and that exemplify our attitude for developing biomathematics from the standpoint of information science. Section 6 reviews some works on biological control systems analysis from the standpoint of Section 5.read more
Citations
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Journal ArticleDOI
Notes on the Synthesis of Form. By Christopher Alexander. Pp. 191. 54s. 1964. (Harvard University Press.)
TL;DR: The search for the right components, and the right way to build the form up from these components, is the greatest challenge faced by the modern, selfconscious designer.
Journal ArticleDOI
Cell space approaches in biomathematics
TL;DR: In this paper, the authors explain some principal aspects of various approaches appealing to certain mathematical formulations based upon cell spaces and to illustrate their implications to biomathematics, and summarize their view on the role of biomatahematics which is to be expected to have a certain role different from biophysical consideration.
Journal ArticleDOI
Growth and entropy: Phylogenism in phyllotaxis
TL;DR: It is proved, as an application of the Principle of Optimal Design, that the cost (the entropy) of normal asymmetric phyllotaxis (characterized by the Fibonacci sequence) is minimal among all other types of phyllotsaxis.
References
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Book
Perceptrons: An Introduction to Computational Geometry
Marvin Minsky,Seymour A. Papert +1 more
TL;DR: The aim of this book is to seek general results from the close study of abstract version of devices known as perceptrons.
Book
Notes on the Synthesis of Form
TL;DR: In the unselfconscious process of design, there is no possibility of misconstruing the situation as discussed by the authors, since the model cannot be wrong and the model is the solution to the problem; the context defines the problem.
Journal ArticleDOI
A Mathematical Theory of Natural and Artificial Selection, Part V: Selection and Mutation
TL;DR: This work shall first consider initial conditions, when only a few of the new type exist as the result of a single mutation; and then the course of events in a population where the new factor is present in such numbers as to be in no danger of extinction by mere bad luck.