Society for Mathematical Biology
Encyclopedia
The Society for Mathematical Biology (SMB) is an international association co-founded in 1972 in USA by Drs.George Karreman
George Karreman
George Karreman was a Dutch-born US physicist, mathematical biophysicist and mathematical/theoretical biologist. He was the first President of the Society for Mathematical Biology .- Biography :Karreman's father was Chief Engineer for the Dutch Merchant Marine...

, Herbert Daniel Landahl and (initially chaired) by Anthony Bartholomay for the furtherance of joint scientific activities between Mathematics
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...

 and Biology
Biology
Biology is a natural science concerned with the study of life and living organisms, including their structure, function, growth, origin, evolution, distribution, and taxonomy. Biology is a vast subject containing many subdivisions, topics, and disciplines...

 research communities,. SMB publishes the "Bulletin of Mathematical Biology" (ISSN 1522–9602), as well as the SMB annual newsletter.

History of The Society for Mathematical Biology

The Society for Mathematical Biology emerged and grew from the earlier school of mathematical biophysics
Mathematical biology
Mathematical and theoretical biology is an interdisciplinary scientific research field with a range of applications in biology, medicine and biotechnology...

, initiated and supported by the Founder of Mathematical Biology
Mathematical biology
Mathematical and theoretical biology is an interdisciplinary scientific research field with a range of applications in biology, medicine and biotechnology...

, Nicolas Rashevsky
Nicolas Rashevsky
Nicolas Rashevsky was a Ukrainian-American theoretical biologist who pioneered mathematical biology, and is also considered the father of mathematical biophysics and theoretical biology.-Academic career:...

. Thus, the roots of SMB go back to the publication in 1939 of the first international journal of mathematical biology, previously entitled "The Bulletin of Mathematical Biophysics"-- which was founded by Nicolas Rashevsky, and which is currently published by SMB under the name of "Bulletin of Mathematical Biology". Professor Rashevsky also founded in 1969 the non-profit organization "Mathematical Biology, Incorporated"--the precursor of SMB. Another notable member of the University of Chicago
University of Chicago
The University of Chicago is a private research university in Chicago, Illinois, USA. It was founded by the American Baptist Education Society with a donation from oil magnate and philanthropist John D. Rockefeller and incorporated in 1890...

 school of mathematical biology was Anatol Rapoport
Anatol Rapoport
Anatol Rapoport was a Russian-born American Jewish mathematical psychologist. He contributed to general systems theory, mathematical biology and to the mathematical modeling of social interaction and stochastic models of contagion.-Biography:...

 whose major interests were in developing basic concepts in the related area of mathematical sociology
Mathematical sociology
Mathematical sociology is the usage of mathematics to construct social theories. Mathematical sociology aims to take sociological theory, which is strong in intuitive content but weak from a formal point of view, and to express it in formal terms...

, who cofounded the Society for General Systems Research
Society for General Systems Research
The Society for General Systems Research is predecessor of the current International Society for the Systems Sciences , known to be one the first interdisciplinary and international co-operations in the field of systems theory and systems science...

 and became a president of the latter society in 1965. Herbert D. Landahl was initially also a member of Rashevsky's school of mathematical biology, and became the second president of SMB in the 1980s; both Herbert Landahl and Robert Rosen from Rashevsky's research group were focused on dynamical systems approaches to complex systems biology
Systems biology
Systems biology is a term used to describe a number of trends in bioscience research, and a movement which draws on those trends. Proponents describe systems biology as a biology-based inter-disciplinary study field that focuses on complex interactions in biological systems, claiming that it uses...

, with the latter researcher becoming in 1980 the president of the Society for General Systems Research
Society for General Systems Research
The Society for General Systems Research is predecessor of the current International Society for the Systems Sciences , known to be one the first interdisciplinary and international co-operations in the field of systems theory and systems science...

.

Research and educational activities

In addition to its research and news publications, The Society for Mathematical Biology
supports education in: mathematical biology
Mathematical biology
Mathematical and theoretical biology is an interdisciplinary scientific research field with a range of applications in biology, medicine and biotechnology...

, mathematical biophysics, complex systems biology
Systems biology
Systems biology is a term used to describe a number of trends in bioscience research, and a movement which draws on those trends. Proponents describe systems biology as a biology-based inter-disciplinary study field that focuses on complex interactions in biological systems, claiming that it uses...

 and theoretical biology through sponsorship of several topic-focused graduate and postdoctoral courses. To encourage and stimulate young researchers in this relatively new and rapidly developing field of mathematical biology The Society for Mathematical Biology awards several prizes, as well as lists regularly new open international opportunities for researchers and students in this field.

See also

  • George Karreman
    George Karreman
    George Karreman was a Dutch-born US physicist, mathematical biophysicist and mathematical/theoretical biologist. He was the first President of the Society for Mathematical Biology .- Biography :Karreman's father was Chief Engineer for the Dutch Merchant Marine...

    • Mathematical Biology
      Mathematical biology
      Mathematical and theoretical biology is an interdisciplinary scientific research field with a range of applications in biology, medicine and biotechnology...

    • Quantum Biology
      Quantum chemistry
      Quantum chemistry is a branch of chemistry whose primary focus is the application of quantum mechanics in physical models and experiments of chemical systems...

    • Quantum Biophysics
      Quantum mechanics
      Quantum mechanics, also known as quantum physics or quantum theory, is a branch of physics providing a mathematical description of much of the dual particle-like and wave-like behavior and interactions of energy and matter. It departs from classical mechanics primarily at the atomic and subatomic...

  • Nicolas Rashevsky
    Nicolas Rashevsky
    Nicolas Rashevsky was a Ukrainian-American theoretical biologist who pioneered mathematical biology, and is also considered the father of mathematical biophysics and theoretical biology.-Academic career:...

    • Mathematical Biophysics
      Mathematical biology
      Mathematical and theoretical biology is an interdisciplinary scientific research field with a range of applications in biology, medicine and biotechnology...

    • "The Bulletin of Mathematical Biophysics"
    • Biocybernetics
      Biocybernetics
      Biocybernetics is the application of cybernetics to biological science, composed of biological disciplines that benefit from the application of cybernetics: neurology, multicellular systems and others...


    • Neuro cybernetics
    • Principles of Biology
      Herbert Spencer
      Herbert Spencer was an English philosopher, biologist, sociologist, and prominent classical liberal political theorist of the Victorian era....

    • Mathematical modeling of biosystems
      Biophysics
      Biophysics is an interdisciplinary science that uses the methods of physical science to study biological systems. Studies included under the branches of biophysics span all levels of biological organization, from the molecular scale to whole organisms and ecosystems...

    • Organismic set theory
      Set theory
      Set theory is the branch of mathematics that studies sets, which are collections of objects. Although any type of object can be collected into a set, set theory is applied most often to objects that are relevant to mathematics...

    • Organism
      Organism
      In biology, an organism is any contiguous living system . In at least some form, all organisms are capable of response to stimuli, reproduction, growth and development, and maintenance of homoeostasis as a stable whole.An organism may either be unicellular or, as in the case of humans, comprise...

    • Organization
      Organization
      An organization is a social group which distributes tasks for a collective goal. The word itself is derived from the Greek word organon, itself derived from the better-known word ergon - as we know `organ` - and it means a compartment for a particular job.There are a variety of legal types of...

    • Organismic sets of zeroth order
      Gene regulatory network
      A gene regulatory network or genetic regulatory network is a collection of DNA segments in a cell whichinteract with each other indirectly and with other substances in the cell, thereby governing the rates at which genes in the network are transcribed into mRNA.In general, each mRNA molecule goes...

    • Epigenetic landscape
      Epigenetic landscape
      Epigenetic landscape is a metaphor for biological development. Its originator, Conrad Hal Waddington, said that cell fates were established in development much like a marble rolls down to the point of lowest local elevation...

    • Two-factor theory of nerve impulse
      Action potential
      In physiology, an action potential is a short-lasting event in which the electrical membrane potential of a cell rapidly rises and falls, following a consistent trajectory. Action potentials occur in several types of animal cells, called excitable cells, which include neurons, muscle cells, and...

    • Topology
      Topology
      Topology is a major area of mathematics concerned with properties that are preserved under continuous deformations of objects, such as deformations that involve stretching, but no tearing or gluing...

    • Organismic development
      Morphogenesis
      Morphogenesis , is the biological process that causes an organism to develop its shape...

    • Mathematical logic
      Mathematical logic
      Mathematical logic is a subfield of mathematics with close connections to foundations of mathematics, theoretical computer science and philosophical logic. The field includes both the mathematical study of logic and the applications of formal logic to other areas of mathematics...

    • Relation algebra
      Relation algebra
      In mathematics and abstract algebra, a relation algebra is a residuated Boolean algebra expanded with an involution called converse, a unary operation...

    • Mathematical sociology
      Mathematical sociology
      Mathematical sociology is the usage of mathematics to construct social theories. Mathematical sociology aims to take sociological theory, which is strong in intuitive content but weak from a formal point of view, and to express it in formal terms...

  • Anatol Rapoport
    Anatol Rapoport
    Anatol Rapoport was a Russian-born American Jewish mathematical psychologist. He contributed to general systems theory, mathematical biology and to the mathematical modeling of social interaction and stochastic models of contagion.-Biography:...

    • Systems science
      Systems science
      Systems science is an interdisciplinary field of science that studies the nature of complex systems in nature, society, and science. It aims to develop interdisciplinary foundations, which are applicable in a variety of areas, such as engineering, biology, medicine and social sciences.Systems...

    • Science education
      Science education
      Science education is the field concerned with sharing science content and process with individuals not traditionally considered part of the scientific community. The target individuals may be children, college students, or adults within the general public. The field of science education comprises...

    • Society for General Systems Research
      Society for General Systems Research
      The Society for General Systems Research is predecessor of the current International Society for the Systems Sciences , known to be one the first interdisciplinary and international co-operations in the field of systems theory and systems science...

    • Center for Advanced Study in the Behavioral Sciences
      Center for Advanced Study in the Behavioral Sciences
      The Center for Advanced Study in the Behavioral Sciences is an American interdisciplinary research body in Stanford, California focusing on the social sciences and humanities . Fellows are elected in a closed process, to spend a period of residence at the Center, released from other duties...

    • American Association for the Advancement of Science
      American Association for the Advancement of Science
      The American Association for the Advancement of Science is an international non-profit organization with the stated goals of promoting cooperation among scientists, defending scientific freedom, encouraging scientific responsibility, and supporting scientific education and science outreach for the...

    • International Society for the Systems Sciences
      International Society for the Systems Sciences
      The International Society for the Systems Sciences is a world-wide organization for systems sciences.- Overview :The initial purpose of the society was "to encourage the development of theoretical systems which are applicable to more than one of the traditional departments of knowledge."The idea...

  • Herbert Daniel Landahl
    • Biodynamics
    • Mathematical Biophysics
      Mathematical biology
      Mathematical and theoretical biology is an interdisciplinary scientific research field with a range of applications in biology, medicine and biotechnology...

       of the Central nervous system
      Central nervous system
      The central nervous system is the part of the nervous system that integrates the information that it receives from, and coordinates the activity of, all parts of the bodies of bilaterian animals—that is, all multicellular animals except sponges and radially symmetric animals such as jellyfish...

  • Robert Rosen
    • Complex Systems Biology
      Systems biology
      Systems biology is a term used to describe a number of trends in bioscience research, and a movement which draws on those trends. Proponents describe systems biology as a biology-based inter-disciplinary study field that focuses on complex interactions in biological systems, claiming that it uses...

    • Society for General Systems Research
      Society for General Systems Research
      The Society for General Systems Research is predecessor of the current International Society for the Systems Sciences , known to be one the first interdisciplinary and international co-operations in the field of systems theory and systems science...

    • Theoretical biology
    • Dynamical system
      Dynamical system
      A dynamical system is a concept in mathematics where a fixed rule describes the time dependence of a point in a geometrical space. Examples include the mathematical models that describe the swinging of a clock pendulum, the flow of water in a pipe, and the number of fish each springtime in a...

      s
    • Symbolic logic
    • Quantum Genetics
      Quantum mechanics
      Quantum mechanics, also known as quantum physics or quantum theory, is a branch of physics providing a mathematical description of much of the dual particle-like and wave-like behavior and interactions of energy and matter. It departs from classical mechanics primarily at the atomic and subatomic...

    • Bioinformatics
      Bioinformatics
      Bioinformatics is the application of computer science and information technology to the field of biology and medicine. Bioinformatics deals with algorithms, databases and information systems, web technologies, artificial intelligence and soft computing, information and computation theory, software...

    • Graph theory
      Graph theory
      In mathematics and computer science, graph theory is the study of graphs, mathematical structures used to model pairwise relations between objects from a certain collection. A "graph" in this context refers to a collection of vertices or 'nodes' and a collection of edges that connect pairs of...

    • Algebraic topology
      Algebraic topology
      Algebraic topology is a branch of mathematics which uses tools from abstract algebra to study topological spaces. The basic goal is to find algebraic invariants that classify topological spaces up to homeomorphism, though usually most classify up to homotopy equivalence.Although algebraic topology...

    • Category theory
      Category theory
      Category theory is an area of study in mathematics that examines in an abstract way the properties of particular mathematical concepts, by formalising them as collections of objects and arrows , where these collections satisfy certain basic conditions...

    • Network theory
      Network theory
      Network theory is an area of computer science and network science and part of graph theory. It has application in many disciplines including statistical physics, particle physics, computer science, biology, economics, operations research, and sociology...

    • Control theory
      Control theory
      Control theory is an interdisciplinary branch of engineering and mathematics that deals with the behavior of dynamical systems. The desired output of a system is called the reference...

  • Ludwig von Bertalanffy
    Ludwig von Bertalanffy
    Karl Ludwig von Bertalanffy was an Austrian-born biologist known as one of the founders of general systems theory . GST is an interdisciplinary practice that describes systems with interacting components, applicable to biology, cybernetics, and other fields...

    • Society for General Systems Research
      Society for General Systems Research
      The Society for General Systems Research is predecessor of the current International Society for the Systems Sciences , known to be one the first interdisciplinary and international co-operations in the field of systems theory and systems science...

  • Warren McCulloch-Neural network
    Neural network
    The term neural network was traditionally used to refer to a network or circuit of biological neurons. The modern usage of the term often refers to artificial neural networks, which are composed of artificial neurons or nodes...

    s
    • Neuro cybernetics
  • Walter Pitts
    Walter Pitts
    Walter Harry Pitts, Jr. was a logician who worked in the field of cognitive psychology.He proposed landmark theoretical formulations of neural activity and emergent processes that influenced diverse fields such as cognitive sciences and psychology, philosophy, neurosciences, computer science,...

    -Neural network
    Neural network
    The term neural network was traditionally used to refer to a network or circuit of biological neurons. The modern usage of the term often refers to artificial neural networks, which are composed of artificial neurons or nodes...

    s
    • Neural network
      Neural network
      The term neural network was traditionally used to refer to a network or circuit of biological neurons. The modern usage of the term often refers to artificial neural networks, which are composed of artificial neurons or nodes...

      s
    • Neuro cybernetics


Further reading

  • Nicolas Rashevsky. 1965. The Representation of Organisms in Terms of Predicates, Bulletin of Mathematical Biophysics 27: 477–491.
  • Nicolas Rashevsky. 1969, Outline of a Unified Approach to Physics, Biology and Sociology., Bulletin of Mathematical Biophysics 31: 159–198.
  • 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.
  • 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.
  • Warren McCulloch and Walter Pitts, "A Logical Calculus of Ideas Immanent in Nervous Activity", 1943, Bulletin of Mathematical Biophysics 5:115-133.
  • Warren McCulloch and Walter Pitts, "On how we know universals: The perception of auditory and visual forms", 1947, Bulletin of Mathematical Biophysics 9:127-147.
  • Santiago Schnell, Ramon Grima and Philip K. Maini. 2007. Multiscale modeling in biology. American Scientist 95: 134-142.

External links

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