Martingale (probability theory)

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Also visit my homepage: http://www.hostgator1centcoupon.info/, webhogwarts.altervista.org, Template:Infobox scientist Robert Rosen (June 27, 1934 – December 28, 1998) was an American theoretical biologist and Professor of Biophysics at Dalhousie University.[1]

Career

Rosen was born on June 27, 1934 in Brownsville (a section of Brooklyn), in New York City. He studied biology, mathematics, physics, philosophy, and history; particularly, the history of science. In 1959 he obtained a PhD in relational biology, a specialization within the broader field of Mathematical Biology, under the guidance of Professor Nicolas Rashevsky at the University of Chicago. He remained at the University of Chicago until 1964,[2] later moving to the University of Buffalo (now known as the State University of New York (SUNY)) at Buffalo on a full associate professorship, while holding a joint appointment at the Center for Theoretical Biology.

His year-long sabbatical in 1970 as a Visiting Fellow at Robert Hutchins' Center for the Study of Democratic Institutions in Santa Barbara, California was seminal, leading to the conception and development of what he later called Anticipatory Systems Theory, itself a corollary of his larger theoretical work on relational complexity. In 1975, he left SUNY at Buffalo and accepted a position at Dalhousie University, in Halifax, Nova Scotia, as a Killam Research Professor in the Department of Physiology and Biophysics, where he remained until he took early retirement in 1994.[3] He is survived by his wife, a daughter, Judith Rosen, and two sons.

He served as president of the Society for General Systems Research, (now known as ISSS), in 1980-81.

Research

Rosen's research was concerned with the most fundamental aspects of biology, specifically the questions "What is life?" and "Why are living organisms alive?". A few of the major themes in his work were:

  • developing a specific definition of complexity that is based on relations and, by extension, principles of organization
  • developing Complex Systems Biology from the point of view of Relational Biology as well as Quantum Genetics
  • developing a rigorous theoretical foundation for living organisms as "anticipatory systems"

Rosen believed that the contemporary model of physics - which he thought to be based on an outdated Cartesian and Newtonian world of mechanisms - was inadequate to explain or describe the behavior of biological systems; that is, one could not properly answer the fundamental question "What is life?" from within a scientific foundation that is entirely reductionistic. Approaching organisms with what he considered to be excessively reductionistic scientific methods and practices sacrifices the whole in order to study the parts. The whole, according to Rosen, could not be recaptured once the biological organization had been destroyed. By proposing a sound theoretical foundation via relational complexity for studying biological organisation, Rosen held that, rather than biology being a mere subset of the already known physics, it might turn out to provide profound lessons for physics, and also for science in general.[4]

Relational biology

Rosen's work proposed a methodology that he called Relational Biology which needs to be developed in addition to the current reductionistic approaches to science by molecular biologists. Relational is a term he correctly attributes to Nicolas Rashevsky who published several papers on the importance of set-theoretical relations[5] in biology prior to Rosen's first reports on this subject. Rosen's relational approach to Biology is an extension and amplification of Nicolas Rashevsky's treatment of n-ary relations in, and among, organismic sets that he developed over two decades as a representation of both biological and social "organisms".

Rosen’s relational biology maintains that organisms, and indeed all systems, have a distinct quality called organization which is not part of the language of reductionism, as for example in molecular biology, although it is increasingly employed in systems biology. It has to do with more than purely structural or material aspects. For example, organization includes all relations between material parts, relations between the effects of interactions of the material parts, and relations with time and environment, to name a few. Many people sum up this aspect of complex systems[6] by saying that the whole is more than the sum of the parts. Relations between parts and between the effects of interactions must be considered as additional 'relational' parts, in some sense.

Rosen said that organization must be independent from the material particles which seemingly constitute a living system. As he put it: 31 year-old Systems Analyst Bud from Deep River, spends time with pursuits for instance r/c cars, property developers new condo in singapore singapore and books. Last month just traveled to Orkhon Valley Cultural Landscape.

Rosen's abstract relational biology approach focuses on a definition of living organisms, and all complex systems, in terms of their internal organization as open systems that cannot be reduced to their interacting components because of the multiple relations between metabolic, replication and repair components that govern the organism's complex biodynamics.

He deliberately chose the `simplest' graphs and categories for his representations of Metabolism-Repair Systems in small categories of sets endowed only with the discrete topology of sets, envisaging this choice as the most general and less restrictive. It turns out however that the categories of (M,R)-systems Template:Clarify are Cartesian closed,[7] and may be considered in a very strict mathematical sense as subcategories of the category of sequential machines or automata: a somewhat ironical vindication of the French philosopher Descartes' supposition that all animals are only elaborate machines or mechanisms. The latter, mechanistic view prevails even today in most of general biology, but no longer in sociology and psychology where reductionist approaches have failed and fallen out of favour since the early 1970s.

Complexity and complex scientific models

The clarification of the distinction between simple and complex scientific models became in later years a major goal of Rosen's published reports. Rosen maintained that modeling is at the very essence of science and thought. His book Anticipatory Systems Potter or Ceramic Artist Truman Bedell from Rexton, has interests which include ceramics, best property developers in singapore developers in singapore and scrabble. Was especially enthused after visiting Alejandro de Humboldt National Park. describes, in detail, what he termed the modeling relation. He showed the deep differences between a true modeling relation and a simulation, the latter not based on such a modeling relation.

In mathematical biology he is known as the originator of a class of relational models of living organisms, called (M,R)-systems that he devised to capture the minimal capabilities that a material system would need in order to be one of the simplest functional organisms that are commonly said to be "alive". In this kind of system, M stands for the metabolic and R stands for the 'repair' subsystems of a simple organism, for example active 'repair' RNA molecules. Thus, his mode for determining or "defining" life in any given system is a functional, not material, mode; although he did consider in his 1970s published reports specific dynamic realizations of the simplest (M,R)-systems in terms of enzymes (M), RNA (R), and functional, duplicating DNA (his β-mapping).

He went, however, even farther in this direction by claiming that when studying a complex system, one "can throw away the matter and study the organization order" to learn those things that are essential to defining in general an entire class of systems. This has been, however, taken too literally by a few of his former students who have not completely assimilated Robert Rosen's injunction of the need for a theory of dynamic realizations of such abstract components in specific molecular form in order to close the modeling loop Template:Clarify for the simplest functional organisms (such as, for example, single-cell algae or microorganisms).[8] He supported this claim (that he actually attributed to Nicolas Rashevsky) based on the fact that living organisms are a class of systems with an extremely wide range of material "ingredients", different structures, different habitats, different modes of living and reproduction, and yet we are somehow able to recognize them all as living, or functional organisms, without being however vitalists.

His approach, just like Rashevsky's latest theories of organismic sets,[9][10] emphasizes biological organization over molecular structure in an attempt to bypass the structure-functionality relationships that are important to all experimental biologists, including physiologists. In contrast, a study of the specific material details of any given organism, or even of a type of organisms, will only tell us about how that type of organism "does it". Such a study doesn't approach what is common to all functional organisms, i.e. "life". Relational approaches to theoretical biology would therefore allow us to study organisms in ways that preserve those essential qualities that we are trying to learn about, and that are common only to functional organisms.

Robert Rosen's approach belongs conceptually to what is now known as Functional Biology, as well as Complex Systems Biology, albeit in a highly abstract, mathematical form.

Quantum Biochemistry and Quantum Genetics

Rosen also questioned what he believed to be many aspects of mainstream interpretations of biochemistry and genetics. He objects to the idea that functional aspects in biological systems can be investigated via a material focus. One example: Rosen disputes that the functional capability of a biologically active protein can be investigated purely using the genetically encoded sequence of amino acids. This is because, he said, a protein must undergo a process of folding to attain its characteristic three-dimensional shape before it can become functionally active in the system. Yet, only the amino acid sequence is genetically coded. The mechanisms by which proteins fold are not completely known. He concluded, based on examples such as this, that phenotype cannot always be directly attributed to genotype and that the chemically active aspect of a biologically active protein relies on more than the sequence of amino acids, from which it was constructed: there must be some other important factors at work, that he did not however attempt to specify or pin down.

Certain questions about Rosen's mathematical arguments were raised in a paper authored by Christopher Landauer and Kirstie L. Bellman which claimed that some of the mathematical formulations used by Rosen are problematic from a logical viewpoint. It is perhaps worth noting, however, that such issues were also raised long time ago by Bertrand Russel and Alfred North Whitehead in their famous Principia Mathematica in relation to antinomies of set theory. As Rosen's mathematical formulation in his earlier papers was also based on set theory and the category of sets such issues have naturally re-surfaced. However, these issues have now been addressed by Robert Rosen in his recent book Life, Itself, published posthumously in 2000. Furthermore, such basic problems of mathematical formulations of (M,R)--systems had already been resolved by other authors as early as 1973 by utilizing the Yoneda lemma in category theory, and the associated functorial construction in categories with (mathematical) structure.[11][12] Such general category-theoretic extensions of (M,R)-systems that avoid set theory paradoxes are based on William Lawvere's categorical approach and its extensions to higher-dimensional algebra. The mathematical and logical extension of metabolic-replication systems to generalized (M,R)-systems, or G-MR, also involved a series of acknowledged letters exchanged between Robert Rosen and the latter authors during 1967—1980s, as well as letters exchanged with Nicolas Rashevsky up to 1972.

Life, Itself and also his subsequent book Essays on Life Itself, discuss also rather critically certain quantum genetics issues such as those introduced by Erwin Schrödinger in his famous early 1945 book What Is Life?.[13]

See also

Publications

Rosen has written several books and articles. A selection of his published books is as follows:

  • 1970, Dynamical Systems Theory in Biology New York: Wiley Interscience.
  • 1970, Optimality Principles, Rosen Enterprises
  • 1978, Fundamentals of Measurement and Representation of Natural Systems, Elsevier Science Ltd,
  • 1985, Anticipatory Systems: Philosophical, Mathematical and Methodological Foundations. Pergamon Press.
  • 1991, Life Itself: A Comprehensive Inquiry into the Nature, Origin, and Fabrication of Life, Columbia University Press

Published posthumously:

Notes

43 year old Petroleum Engineer Harry from Deep River, usually spends time with hobbies and interests like renting movies, property developers in singapore new condominium and vehicle racing. Constantly enjoys going to destinations like Camino Real de Tierra Adentro.

References

  • Baianu, I. C.: 2006, "Robert Rosen's Work and Complex Systems Biology", Axiomathes 16(1-2):25-34.
  • Baianu, I.C.: 1970, "Organismic Supercategories: II. On Multistable Systems.", Bulletin of Mathematical Biophysics, 32: 539-561.
  • Elsasser, M.W.: 1981, "A Form of Logic Suited for Biology.", In: Robert, Rosen, ed., Progress in Theoretical Biology, Volume 6, Academic Press, New York and London, pp 23–62.
  • Rashevsky, N.: 1965, "The Representation of Organisms in Terms of (logical) Predicates.", Bulletin of Mathematical Biophysics 27: 477-491.
  • Rashevsky, N.: 1969, "Outline of a Unified Approach to Physics, Biology and Sociology.", Bulletin of Mathematical Biophysics 31: 159-198.
  • Rosen, R. 1960. "A quantum-theoretic approach to genetic problems.", Bulletin of Mathematical Biophysics, 22: 227-255.
  • Rosen, R.: 1958a, "A Relational Theory of Biological Systems". Bulletin of Mathematical Biophysics 20: 245-260.
  • Rosen, R.: 1958b, "The Representation of Biological Systems from the Standpoint of the Theory of Categories.", Bulletin of Mathematical Biophysics 20: 317-341.
  • "Reminiscences of Nicolas Rashevsky". (Late) 1972. by Robert Rosen.

External links

Template:Society for General Systems Research Presidents

Template:Persondata

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  2. ↑ "Autobiographical Reminiscences of Robert Rosen".
  3. ↑ Template:Cite web
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  5. ↑ Jon Awbrey Relation theory (the logical approach to relation theory)
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    The data offered is for normal info purposes only and isn't supposed to be personalised investment or monetary advice. Motley Fool Singapore contributor Stanley Lim would not personal shares in any corporations talked about. Singapore private home costs increased by 1.eight% within the fourth quarter of 2012, up from 0.6% within the earlier quarter. Resale prices of government-built HDB residences which are usually bought by Singaporeans, elevated by 2.5%, quarter on quarter, the quickest acquire in five quarters. And industrial property, prices are actually double the levels of three years ago. No withholding tax in the event you sell your property. All your local information regarding vital HDB policies, condominium launches, land growth, commercial property and more

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  7. ↑ Donald C. Mikulecky Robert Rosen: The well posed question and its answer - Why are organisms different from machines?
  8. ↑ Robert Rosen. 1970. Dynamical Systems Theory in Biology, New York: Wiley Interscience.
  9. ↑ Rashevsky, N.: 1965, "The Representation of Organisms in Terms of (logical) Predicates.", Bulletin of Mathematical Biophysics 27: 477-491.
  10. ↑ Rashevsky, N.: 1969, "Outline of a Unified Approach to Physics, Biology and Sociology.", Bulletin of Mathematical Biophysics 31: 159-198.
  11. ↑ I.C. Baianu: 1973, Some Algebraic Properties of (M,R) - Systems. Bulletin of Mathematical Biophysics 35, 213-217.
  12. ↑ I.C. Baianu and M. Marinescu: 1974, A Functorial Construction of (M,R)- Systems. Revue Roumaine de Mathematiques Pures et Appliquees 19: 388-391.
  13. ↑ Note, by Judith Rosen, who owns the copyrights to her father's books: Some of the confusion is due to known errata introduced into the book, Life, Itself, by the publisher. For example, the diagram that refers to (M,R)-Systems has more than one error; errors which do not exist in Rosen's manuscript for the book. These errata were made known to Columbia University Press when the company switched from hardcover to paperback version of the book (in 2006) but the errors were not corrected and remain in the paperback version as well. The book Anticipatory Systems; Philosophical, Mathematical, and Methodological Foundations has the same diagram, correctly represented.
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