Martin Feinberg

Martin Feinberg
Martin Feinberg

Born April 2, 1942 (1942-04-02) (age 69)
New York City, New York
Residence United States
Nationality United States
Fields Mathematics, Chemical engineering, Biology
Institutions Ohio State University
Alma mater Ph.D. Princeton University, 1962
Doctoral advisor William Schowalter
Doctoral students Gheorghe Craciun
Phillip Ellison
Paul Schlosser
Known for Chemical reaction network theory
Notable awards John Von Neumann Lecture in Theoretical Biology, Institute for Advanced Study, 1997
AIChE Richard H. Wilhelm Award[1]
Camille & Henry Dreyfus Teacher- Scholar, 1974

Martin Feinberg is an American chemical engineer and mathematician known for his work in chemical reaction network theory.

Contents

Life

Born in New York, Feinberg received his undergraduate degree in chemical engineering from The Cooper Union for the Advancement of Science and Art in 1962. A year later, he obtained his master’s degree from Purdue University. In 1968, he received his PhD degree from Princeton University. The subject of the doctoral thesis is fluid mechanics and the advisor is William Schowalter. After completing the PhD, he went to work at the University of Rochester, Rochester, NY, where he was a professor of chemical engineering until 1997. He then moved to The Ohio State University, 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 from 1978-1991.

Research

Together with F. J. M. Horn and Roy Jackson, Feinberg created chemical reaction network theory, 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. 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.

Selected publications

  • Feinberg, M. (1987). "Chemical reaction network structure and the stability of complex isothermal reactors: I. The deficiency zero and deficiency one theorems". Chemical Engineering Science 42 (10): 2229–2268. doi:10.1016/0009-2509(87)80099-4. 
  • Feinberg, M. (1989). "Necessary and sufficient conditions for detailed balancing in mass action systems of arbitrary complexity". Chemical Engineering Science 44 (9): 1819–1827. doi:10.1016/0009-2509(89)85124-3. 
  • Schlosser, P. M. and M. Feinberg (June 1994). "A theory of multiple steady states in isothermal homogeneous CFSTRs with many reactions". Chemical Engineering Science 49 (11): 1749–1767. doi:10.1016/0009-2509(94)80061-8. 
  • Feinberg, M. (December 1995). "The existence and uniqueness of steady states for a class of chemical reaction networks". Archive for Rational Mechanics and Analysis 132 (4): 311–370. doi:10.1007/BF00375614. 
  • Craciun, G., Y. Tang, and M. Feinberg (June 2006). "Understanding bistability in complex enzyme-driven reaction networks". Proc Natl Acad Sci U S A 103 (23): 8697–8702. doi:10.1073/pnas.0602767103. PMID 16735474. 
  • Shinar, G., U. Alon and M. Feinberg (2009). "Sensitivity and robustness in chemical reaction networks". S. I. A. M. Journal on Applied Mathematics 69 (4): 977–998. doi:10.1137/080719820. 
  • Shinar, G. and M. Feinberg (March 2010). "Structural sources of robustness in biochemical reaction networks". Science 327 (5971): 1389–91. doi:10.1126/science.1183372. PMID 20223989. 
  • Feinberg, M. and R.B. Lavine (March 1983). "Thermodynamics based on the Hahn-Banach theorem: the Clausius inequality". Archive for Rational Mechanics and Analysis 82 (3): 203–293. doi:10.1007/BF00261935. 
  • 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

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