Table of Contents

Bioinformatics Computer informatics Genetic code Genetic multiplets Genetic systems Hadamard matrices and spectral analyses Mathematical and theoretical biology Molecular genetics Morphological heredity Multidimensional numbers Symmetrical analysis techniques Symmetrical pattern

About the Author

Sergey Petoukhov, PhD, is a chief scientist of the Department of Biomechanics, Mechanical Engineering Research Institute of the Russian Academy of Sciences, Moscow. He is full professor and Grand PhD from the World Information Distributed University (2004). Dr. Sergey Petoukhov has been awarded as an academician of European Academy of Informatization (2004). He is a laureate of the state prize of the USSR (1986) for his achievements in biomechanics. Dr. Sergey Petoukhov graduated Moscow Physical-Technical Institute (1970) and post graduated (1973) with a specialty of biophysics. He received a golden medal of the National Exhibition of Scientific Achievements (VDNH) (1973) in Moscow for his physical model of human vestibular apparatus. He received his first scientific degree in the USSR (1973): candidate of biological sciences in specialty biophysics. He received his second scientific degree in the USSR (1988): doctor of physical-mathematical sciences in two specialties, biomechanics and crystallography and crystallo-physics. He was an academic foreign stager of the Technical University of Nova Scotia (Halifax, Canada, 1988). He was elected as an academician of Academy of Quality Problems (Russia, 2000). Dr. Sergey Petoukhov is a director of Department of Biophysics and Chairman of Scientific-Technical Council in Scientific-Technical Center of Information Technologies and Systems (INTES), Moscow, Russia. He was vice-president of the International Society ISIS-Symmetry (International Society for the Interdisciplinary Study of Symmetry) in 1989-2000. He is chairman of International Advisory Board of International Symmetry Association (ISA) since 2000 (its headquarters is at Budapest, Hungary, www.symmetry.hu). Dr. Sergey Petoukhov is an Honorary Chairman of Board Directors of �International Society of Symmetry in Bioinformatics (ISSB)� since 2000. He is Vice-president and academician of National Academy of Intellectual and Social Technologies (Russia) since 2003. Dr. Sergey Petoukhov is academician of the International Diplomatic Academy (Belgium, www.bridgeworld.org). He is Russian chairman (chief) of an official scientific cooperation between Russian and Hungarian Academies of Sciences in the theme �Non-linear models in biomechanics, bioinformatics and in theory of self-organizing systems�. Dr. Sergey Petoukhov has published over 150 research papers (including 5 books) in biomechanics, bioinformatics, mathematical and theoretical biology, theory of symmetries and its applications, and mathematics. He is a member of editorial board of international journals: �Journal of Biological Systems� and �Symmetry: Culture and Science�. He was a guest editor of special issues (in bioinformatics topic) of international journal �Journal of Biological Systems� (2004) of World Scientific Publishing. Dr. Sergey Petoukhov is the book editor of �Symmetries in Genetic Informatics� (2001), �Advances in Bioinformatics and its Applications� (2004), a Russian edition (2006) of the book by Canadian Professor R.V. Jean �Phyllotaxis: A Systemic Study in Plant Morphogenesis (Cambridge University Press, Cambridge, 1994). He is a co-organizer of international conferences in theory of symmetries and its applications (Budapest, Hungary, 1989; Hirosima, Japan, 1992; Washington, USA, 1995; Haifa, Izrael, 1998; Budapest, Hungary, 2003 and 2006; Moscow, Russia, 2006). He was Chairman of the International Program Committee of �International Conference on Bioinformatics and its Applications�2004� (Fort Lauderdale, Florida, USA). He is a co-chairman of the organizing committees of the international conferences �Modern science and ancient Chinese �The Book of Changes� (I-Ching)�, Moscow, Russia, 2003, 2004, 2005, 2006. He is a teacher of a course of architectural bionics in the Russian University of People Friendship (Moscow). He is actively involved in promoting science, education, and technology. Matthew He, PhD, is full professor and director of the Division of Math, Science, and Technology of Nova Southeastern University (NSU) (Florida, USA). He is full professor and grand PhD from the World Information Distributed University (2004). He has been awarded as an academician of European Academy of Informatization (2004). Dr. Matthew He received his PhD in mathematics from University of South Florida (1991). Dr. Matthew He was a research associate at the Department of Mathematics and Theoretical Physics, Cambridge University (Cambridge, England, 1986) and at the Department of Mathematics, Eldgenossische Technische Hochschule (Zurich, Switzerland, 1987). Dr. Matthew He was also a visiting professor at National Key Research Lab of Computational Mathematics of Chinese Science of Academy and University of Rome (Italy, 1998). Dr. Matthew He has published over 90 research papers in mathematics, computer science, information theory and bioinformatics. Dr. Matthew He is an invited series editor of biomedical and life sciences of Henry Stewart talk on �Using Bioinformatics in Exploration in Genetic Diversity�. Dr. Matthew He is an editor of the International Journal of Biological Systems, an editor of the International Journal of Cognitive Informatics and Natural Intelligence, an editor of the International Journal of Integrative Biology, and an editor of the International Journal of Software Science and Computational Intelligence. Dr. Matthew He is the book editor of Advances in Bioinformatics and its Applications and a guest editor of a special issue of the Journal of Biological Systems of World Scientific Publishing (2004). Dr. Matthew He is an associate editor of the Proceedings of the International Conference on Mathematics and Engineering Techniques in Medicine and Biological Sciences (2002, 2003, and 2004). Dr. Matthew He received the World Academy of Sciences Achievement Award in recognition of his research contributions in the field of computing (2003). Dr. Matthew He is a chairman of International Society of Symmetry in Bioinformatics and a member of International Advisory Board of ""International Symmetry Association (ISA). Dr. Matthew He received professor of the year award in excellence of teaching and research (2002) at NSU. Dr. Matthew He is a member of the American Mathematical Society, the Association of Computing Machinery and IEEE Computer Society. Dr. Matthew He serves as a member of board directors of several international associations and is actively involved in promoting science, education, and technology.