April 2, 1942 |
New York City, New York
|Fields||Mathematics, Chemical engineering, Biology|
|Institutions||Ohio State University|
|Alma mater||Cooper Union, Purdue University, Princeton University|
|Doctoral advisor||William Schowalter|
|Doctoral students||Gheorghe Craciun
|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
Camille & Henry Dreyfus Teacher- Scholar, 1974
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.
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.
- 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. Bibcode:1995ArRMA.132..311F. 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. PMC 1592242. 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. Bibcode:1983ArRMA..82..203F. 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).
- "Feinberg Wins Aiche's Prestigious Richard H. Wilhelm Award : University of Rochester News". www.rochester.edu. Retrieved 2010-12-05.
- 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