[bioundgrd] Cell Decision Process Group (Lauffenburger) hosts Dr. Martin Feinberg (The Ohio State University), this Thursday, April 26, at 9:30 in 68-181
Gurukarm Khalsa
gkkhalsa at MIT.EDU
Tue Apr 24 14:22:21 EDT 2007
You are invited to attend this week's Cell Decision Processes (CDP)
meeting, Thursday, April 26, at 9:30 in 68-181.
This week's CDP invited speaker is Martin Feinberg, Prof. of Chem.
Eng and Math at The Ohio State University (on sabbatical at the
Systems Biology Dept, HMS).
Title: Stability and Instability in Complex Chemical Reaction
Networks: The Big Picture
NOTE: This talk is meant for a broad audience and should be suitable
for people who are not on the friendliest of terms with advanced
mathematics.
Abstract:
In nature there are millions of distinct networks of chemical
reactions that might present themselves for study at one time or
another. Written at the level of elementary reactions taken with
classical mass action kinetics, each new network gives rise to its
own (usually large) system of polynomial equations for the species
concentrations. In this way, chemistry presents a huge and
bewildering array of polynomial systems, each determined in a precise
way by the underlying network up to parameter values (e.g., rate
constants). Polynomial systems in general, even simple ones, are
known to be rich sources of interesting and sometimes wild dynamical
behavior. It would appear, then, that chemistry too should be a rich
source of dynamical exotica.
Yet there is a remarkable amount of stability in chemistry. Indeed,
chemical engineers generally expect homogeneous isothermal reactors,
even highly complex ones, to behave in quite dull ways. Although this
tacit doctrine of stable behavior is supported by a long
observational record, there are certainly instances of homogeneous
isothermal reactors that give rise, for example, to bistability or
even chaotic behavior. The vast landscape of chemical reaction
networks, then, appears to have wide regions of intrinsic stability
(regardless of parameter values) punctuated by smaller regions in
which instability might be extant (for at least certain parameter
values).
In this talk, I will present some recent work (with George Craciun
and Phillipp Ellison) that goes a long way toward explaining this
landscape -- in particular, toward explaining how biological
chemistry "escapes" the stability doctrine to (literally) make life
interesting. Indeed, theory indicates just why enzyme-driven
chemistry is strikingly different from "regular" chemistry. Although
it is commonly supposed that biochemical instability results from
gross feedback across a pathway, whereby the product of one enzyme-
catalyzed reaction promotes or inhibits another such reaction along
the pathway, the fact is that sources of instability are already to
be found in quite classical and elementary mechanisms for enzyme
catalysis of a single reaction. (This seems to be poorly appreciated
and might perhaps confound the interpretation of experiments.)
--
-----------------------------------------------------
John M. Burke, Ph.D.
Assistant Research Director
Cell Decision Processes Center
Systems Biology - HMS
Sorger Lab
Biological Engineering - MIT
Lauffenburger Lab
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