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Martin Feinberg is an American chemical engineer and
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...
known for his work in
chemical reaction network theory Chemical reaction network theory is an area of applied mathematics that attempts to model the behaviour of real-world chemical systems. Since its foundation in the 1960s, it has attracted a growing research community, mainly due to its applications ...
.


Life

Born in New York, Feinberg received his undergraduate degree in chemical engineering from The
Cooper Union for the Advancement of Science and Art The Cooper Union for the Advancement of Science and Art (Cooper Union) is a private college at Cooper Square in New York City. Peter Cooper founded the institution in 1859 after learning about the government-supported École Polytechnique in ...
in 1962. A year later, he obtained his master's degree from
Purdue University Purdue University is a public land-grant research university in West Lafayette, Indiana, and the flagship campus of the Purdue University system. The university was founded in 1869 after Lafayette businessman John Purdue donated land and mone ...
. In 1968, he received his PhD degree from
Princeton University Princeton University is a private research university in Princeton, New Jersey. Founded in 1746 in Elizabeth as the College of New Jersey, Princeton is the fourth-oldest institution of higher education in the United States and one of the ...
. The subject of the doctoral thesis is
fluid mechanics Fluid mechanics is the branch of physics concerned with the mechanics of fluids ( liquids, gases, and plasmas) and the forces on them. It has applications in a wide range of disciplines, including mechanical, aerospace, civil, chemical and ...
and the advisor is William Schowalter. After completing the PhD, he went to work at the
University of Rochester The University of Rochester (U of R, UR, or U of Rochester) is a private university, private research university in Rochester, New York. The university grants Undergraduate education, undergraduate and graduate degrees, including Doctorate, do ...
, Rochester, NY, where he was a professor of chemical engineering until 1997. He then moved to The
Ohio State University The Ohio State University, commonly called Ohio State or OSU, is a public land-grant research university in Columbus, Ohio. A member of the University System of Ohio, it has been ranked by major institutional rankings among the best publ ...
, where he serves as Richard M. Morrow Professor of Chemical Engineering and Professor of Mathematics. Feinberg was a Member of the Editorial Board of the
Archive for Rational Mechanics and Analysis The ''Archive for Rational Mechanics and Analysis'' is a scientific journal that is devoted to research in mechanics as a deductive, mathematical science. The current editors in chief of the journal are Felix Otto and Vladimir Sverak. It was fo ...
from 1978–1991.


Research

Together with F. J. M. Horn and Roy Jackson, Feinberg created
chemical reaction network theory Chemical reaction network theory is an area of applied mathematics that attempts to model the behaviour of real-world chemical systems. Since its foundation in the 1960s, it has attracted a growing research community, mainly due to its applications ...
, a field of mathematics that connects the graphical and algebraic structure of chemical reaction networks with their dynamic behavior. He is best known for stating and proving the deficiency zero theorem (together with Horn and Jackson) and the deficiency one theorem. He has also articulated complete necessary and sufficient conditions for detailed balancing in mass-action systems. More recently, Feinberg has turned his attention to problems arising from biology. Together with Gheorghe Craciun, he developed the theory of injective reaction networks and explored its implications for
biochemistry Biochemistry or biological chemistry is the study of chemical processes within and relating to living organisms. A sub-discipline of both chemistry and biology, biochemistry may be divided into three fields: structural biology, enzymology and ...
. A current research focus (together with Guy Shinar) is the application of chemical reaction network theory to questions of robustness in biochemical reaction networks. He has also worked with Richard Lavine on foundations of classical
thermodynamics Thermodynamics is a branch of physics that deals with heat, work, and temperature, and their relation to energy, entropy, and the physical properties of matter and radiation. The behavior of these quantities is governed by the four laws of th ...
. Feinberg is the author of "Foundations of Chemical Reaction Network Theory," published in 2019 by Springer in its Applied Mathematical Sciences series.


Selected publications

*Feinberg, M. (2019) "Foundations of Chemical Reaction Network Theory," Springer, Switzerland, * * * * * * * * *Feinberg, M. and R.B. Lavine, Foundations of the Clausius-Duhem Inequality, pp. 49–64 in New Perspectives in Thermodynamics (editor James Serrin), Springer-Verlag, Berlin- Heidelberg-New York (1986).


Notes


External links


Feinberg, M., Lectures on Chemical Reaction Networks, written versions of Lectures 1 - 5 (out of nine) delivered at the Mathematics Research Center, University of Wisconsin, fall, 1979
{{DEFAULTSORT:Feinberg, Martin Living people 1942 births Cooper Union alumni Purdue University College of Engineering alumni Princeton University alumni University of Rochester faculty Ohio State University faculty American chemical engineers 20th-century American mathematicians 21st-century American mathematicians