Foundations of Theoretical Conchology
C. ILLERT and R. M. SANTILLI (Istituto per la Ricerca di Base, Italy and Institute for Basic Research, Florida)
2nd Ed. 1995, ISBN 0-911767-91-6, 193 pages, $ 65
This is the first mathematical study of sea shells with a potentially seminal character. In fact, the authors show for the first time via computer simulation that sea shells do not appear to grow normally in our Euclidean or Minkowskian space-time, but require a structurally more general geometry. This second edition preserves the original contributions and includes the first treatments on record of sea shells via the isoeuclidean geometry and the identification of their universal isorotational symmetry. The volume includes several beautiful color plates of computer visualization of complex sea shells. The first edition of this monograph was very well received by professional conchologists, theoretical physicists and mathematicians. This second edition should be part of all science libraries.
New Frontiers in Theoretical Biology
Edited by C. A. C. DREISMANN (Technische Univ., Berlin, Germany, and IRB, Monteroduni, Italy and Palm Harbor, USA)
Proceedings of the International Workshop held at the IRB, Castle Prince Pignatelli, Monteroduni, Italy, August 1995
Jan. 1996 ISBN 1-57485-012-1, 380 pages. $ 85
This is a collection of original, refereed and edited articles at the frontiers of current knowledge in the field, which signals in particular the use of novel integro-differential methods for the study of biological systems.
PART I: STRUCTURE- FUNCTION RELATIONSHIPS OF BIOMOLECULAR SYSTEMS contains advances in:
PART II: MODELS OF BIOLOGICAL SYSTEMS contains advances in:
- Paralogus genes and metazoan macroevolution;
- Hypersensitive plasmid;
- Synergetic processes in signal transmission and energy conversion via molecular photo-oscillators;
- Bifurcation in biomolecular processes;
- "Fractality" and "linguistic structure" of DNA;
- Correlation effects in DNA base pair;
- The arrow of time in biological structures;
- and related topics.
- Mathematical models for the human intracranial system;
- Eigenvalue cardiography;
- Pigment patterns in sea shells;
- Applications of Santilli's isomechanics in theoretical biology;
- Curvature and torsion of heteromorphic ammonites;
- Isotopic, genotopic and hyperstructural methods for reversible or irreversible biological systems;
- and other fields.
Proceedings of the First International Conchology Conference
Edited by C. R. ILLERT (IRB, Australian Division)
Conference held in Australia, January 1995
Sept. 1995, ISBN 1-57485-000-8, 220 pages, $65
The conference provided the state of the art in the mathematical formulation and computer visualization of sea shell shapes and their evolutions. This collection of original and edited articles include advances in: modeling and visualization; use of Frenet coordinates in shell modeling; surface features of etheromorphic ammonites; Santilli integral isonumbers and genonumbers and their isoduals; holographic reconstruction of fossil cephalopods; protein modeling via isomechanics; imaging shells via the scanning electron microscope: outline of hyperstructures for biological modeling; and other topics. This book is important for all conchology, biology and applied mathematics libraries.
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Isotopic, Genotopic and Hyperstructural Methods in Theoretical Biology
R. M. SANTILLI (Institute for Basic Research, Florida)
1997 ISBN 1-157485-020-2, pages 239, $ 80
Theoretical biology is currently using methods of contemporary physics which are conservative and reversible while biological systems are notoriously nonconservative and irreversible. After identifying numerous problematic aspects of existing generalizations of quantum mechanics, this volume presents a chain of generalized methods worked out by the author under the names of isotopic, genotopic and hyperstructural methods, which preserve all axiomatic properties of quantum mechanics, while being structurally nonconservative and irreversible. The monograph also outlines a number of illustrative applications in theoretical biology, such as the isoeuclidean structure of sea shells, the nonlocal origin of valence, the isotopic nature of correlations, and others. There are no doubts that this monograph presents potentially historical advances in biology. It is, therefore, indispensable to all biologists and scientists at large.