- Faculty Emeritus, Chemical & Biomolecular Eng
140 W NINETEENTH AVE, Columbus, Ohio, 43210, United States
140 W NINETEENTH AVE
Columbus, Ohio 43210
- B.Ch.E., Cooper Union, 1962
- M.S., Purdue University, 1963
- Ph.D., Princeton University, 1968
Key Honors and Distinctions
- Ohio State University Alumni Award for Distinguished Teaching (highest teaching honor at Ohio State; sole recipient), 2014
- Wilhelm Lectures, Princeton University, 2011
- Amundson Lectures, University of Houston, 2006
- John Von Neumann Lecture in Theoretical Biology, Institute for Advanced Study, 1997
- Wilhelm Award, American Institute of Chemical Engineers, 1996
- MacQuigg Award for Undergraduate Teaching, Ohio State University, 1999
- Edward Peck Curtis Award for Excellence in Undergraduate Teaching, University of Rochester, 1994
- Camille & Henry Dreyfus Teacher- Scholar, 1974
RESEARCH AREAS - Feinberg Group for Chemical Reaction Network Theory
- Complex Chemical Systems.
- Emeritus - no longer accepting graduate students.
- PUBLICATIONS AND PATENTS
Chemical Reaction Network Theory. My students and I are interested in complex chemical systems in which several reactions occur simultaneously. Real systems are almost always of this kind, so it becomes important to understand reactors with complicated chemistry in a systematic way.
Complex chemistry gives rise to intricate systems of nonlinear equations that don’t lend themselves to analytic solution. What’s more, increased complexity in the governing equations can give rise to complicated new phenomena that simple systems don’t admit. Even in the isothermal setting normally studied in biology there can, for example, be unstable steady states, multiple steady states, sustained composition oscillations, and wild, chaotic dynamics—possibilities we need to take into account.
Since each new network of chemical reactions gives rise to its own complicated system of differential equations, it becomes apparent that, in the absence of an overarching theory, we would be forced to study complex chemical systems on a case-by-case basis, and each new case would be fraught with terrible analytical difficulties. What’s needed is a way of looking at things from a broader and more general perspective.
That’s what Chemical Reaction Network Theory tries to do. The aim of the theory is to tie aspects of reaction network structure in a precise way to the variety of qualitative behaviors that might be engendered. A lot of progress has been made along these lines, but there is also much that remains unknown. For more on chemical reaction network theory, see the annotated bibliography.
Other Areas of Study. Although my attention now is largely focused on chemical reaction network theory, with particular reference to biology, I maintain an interest in two other areas with which I was intensely occupied in the past. One of these is mathematical foundations of classical thermodynamics. Another is a general theory of reactor-separator design, which has some ties, at least in spirit, with classical thermodynamics and with reaction network theory. In particular, I am interested in understanding theoretical limits to what can be achieved, consistent with certain design constraints, over all possible steady-state designs (even unimagined ones) that are consistent with those constraints. Articles about both topics can be found in the annotated bibliography.
Wilhelm Lectures. Princeton University.
Amundson Lectures. University of Houston.
Distinguished Scholar Award. The Ohio State University.
Scott Faculty Award for Research and Teaching. The Ohio State University.
MacQuigg Award for Undergraduate Teaching. The Ohio State University.
John Von Neumann Lecture in Theoretical Biology. Institute for Advanced Study.
R.H. Wilhelm Award. American Institute of Chemical Engineers.
Plenary Lecturer, Third SIAM Conference on Applications of Dynamical Systems. SIAM Conference.
Edward Peck Curtis Award for Excellence in Undergraduate Teaching. University of Rochester.
Camille & Henry Dreyfus Teacher- Scholar. Camille & Henry Dreyfus Foundation.