Statistical Physics,
| Permanent Member of the
Kavli Institute for Theoretical Physics Professor, Department of Physics, UCSB Address:
E-Mail: shraiman@kitp.ucsb.edu |
|


I am interested in understanding the general principles governing the organization and evolution of intracellular bio-molecular networks which are involved in signal transduction and in control of gene expression. Two broad projects are being pursued:
1) Adaptive regulation in cell signaling.
The question is to understand and quantitatively describe the function
and evolution of enzymatic signaling pathways underlying signal
transduction. What are the engineering characteristics and design
principle of these systems? What parameters are available to the cell
in "fining tuning" or adaptively optimizing the performance of the
signaling cascade in response to current environment? What can we learn
about network evolution from comparing different signaling pathways and
different incarnations of the same pathway (e.g. G-protein coupled
receptor and cyclic nucleotide pathways in different sensory
systems)? 
The first steps in this program are described in the (2000) paper "Engineering aspects
of phototransduction..." in collaboration with Peter Detwiler (U.Washington), Sharad
Ramanathan (Bell Labs) and Anirvan
Sengupta (Rutgers)
which dealt with vertebrate photo-transduction. Current work in
collaboration
with Alain Pumir (INLN, Nice) and Rama Ranganathan (SW Med School)
models
fly (Drosophila) photo-transduction. Fly photo-transduction is quite
different
from the vertebrate case as it involves a non-linear "digital" rather
then
linear "analog" response.
A set of single photon responses of Drosophila - so called Quantum
Bumps - is shown in the Figure
along with a simplified diagram of the phototransduction cascade.
2) Transcription control networks employ DNA-binding proteins (aka transcription factors) which regulate the recruitment of RNA polymerase and therefore control the transcription and expression of genes. We are interested in quantitative modeling of transcription control networks and in understanding the "design principles" undelying their architecture. We are also interested in the development of bio-informatic algorithms which could allow reconstruction of transcription factor mediated regulation from genomic and high-throughput expression data. Some general questions: what aspects of biological networks, as observed in nature, are responsible for their "robustness" -- i.e. relative insensitivity to mutation -- and "evolvability" -- i.e. ability to acquire new function? Some specific questions: how can one reliably identify transcription factor binding sites in regulatory stretches of DNA? can one predict the interactions and functional modality of different transcription factor binding sites?
Recent work:
a) examined constraints on the transcription network imposed by
minimization of its sensitivity to mutation
"Specificity and Robustness in
Transcription Control Networks" in collaboration with
Anirvan Sengupta (Rutgers)
and Marko Djordjevic (Columbia)
b) developed a novel algorithm for identification of transcription
factor binding sites and applied to to the analysis of the highly
pleiotropic transcription factors in E. coli: "Biophysical Approach to Transcription
Factor Binding Site Identification" (in collaboration with Anirvan
Sengupta (Rutgers) and Marko Djordjevic (Columbia)
c) analyzed the function of the PEP Phosphotransferase System ( PTS)
and the effect of transcriptional regulation on it. The PTS underlies
uptake of
many sugars and implements a general nutrient sensory system. This work
classified
the possible switching phenotypes arising from the interactions of
different
sugar uptake modules: “Switching in the
E.coli Carbohydrate Metabolic Network” (in collaboration
with Mukund Thattai (MIT))
III. Search behavior: Exploration, Exploitation and Information
Olfactory
source location at high Reynolds number and Infotaxis
Olfactory search
involves "climbing" the concentration gradient of the odorant. At least
naively. At least at low Reynolds number, e.g. the conditions
appropriate to bacterial chemotaxis. At high Reynold number, local
gradient of concentration is far too intermittent to point in the right
direction. What is then an optimal, or at least reasonable search
strategy? A paper with Eugene Balkovsky, "Olfactory search
at high Reynolds number", PNAS (2002), provided a simple strategy for
olfactory search in the presence of a steady (mean) wind velocity. More
recent work in collaboration with Massimo Vergassola (Pastuer Inst,
Paris) attempted to generalize this approach and to provide a unified
description of search strategies, revisiting and rethinking our
understanding of bacterial chemotaxis along the way.
This effort has lead us to a rather general search strategy which is
based on maximizing the rate of information gain which we called "Infotaxis" described in "Infotaxis: a strategy for searching without
gradients", Nature (2007), by M. Vergassola and BIS. Remarkably
this approach appears to be a particular (limiting case) of dealing
with the well known "exploration
and exploitation" problem of reinforcement learning and
infotaxis strategy is various modified forms is applicable in a broad
range of applications.
IV. Statistical Hydrodynamics.
Statistical Geometry of Turbulence
This effort (currently in the background) centers on the construction
of
a phenomenological model describing the dynamics of large fluctuations
in
the inertial scaling range of a fully turbulent flow. The goal is to
understand
the statistics of large fluctuations on small scales (which does not
follow
Kolmogorov's 1941 scaling theory) and to understand how it depends on
the
strain and vorticity structure of the larger scales. Recent paper "Lagrangian Tetrad Dynamics..."
argues that a simplest non-trivial model must follow (for a short time
only) the evolution of not one or two but at least 4 Lagrangian points
- enough to define a "shape" tensor which integrates over the history
of the strain along the trajectory. Energy transfer is found to be
associated with formation of "pancakes" or "ribbons" by strain
configurartions with two stretching and one compressing eigenvalues (tr
s^3 ) <0 product. Many other geometrical aspects are discussed (see
recent
talk at http://online.itp.ucsb.edu/online/hydrot_c00/shraiman/).
The kinematics of Lagrangian shapes was examined in another
recent
paper, "Geometry of
Lagrangian Dispersion..." The emphasis on the Lagrangian
dynamics and multipoint correlators derives in part from the earlier
work on the Passive Scalar Problem (for review see "Scalar Turbulence", for technical detail see
"Anomalous Scaling fo a
Passive Scalar near Batchelor Limit" and "Lagrangian Path Integrals
..."
Bio- group members:
students: Ben Callahan, Kevin Chou
postdocs: Richard Neher, Pierre Neveu, Alberto Puliafito
visitors/collaborators: Michael Brenner (Harvard),
Michael Elowitz (Caltech), Deborah
Fygenson (UCSB), Lars Hufnagel (EMBL, Heidelberg), Alain Pumir (U
Nice), Aurelio Teleman (Heidelberg), Mukund Thattai (NCBS,
Bangalore), Massimo Vergassola (Inst Pasteur)