Mathematics of Materials and
Macromolecules: Multiple Scales,
Disorder, and Singularities, September 2004 - June 2005
Abstracts
IMA Workshop:
Talk Materials Part I
Introductory tutorial on the basics
of DNA by John H. Maddocks - April 28, 2005, 10:10 am-12:00
pm, Lind Hall 409
Slides: pdf
This is a strictly elementary introduction to the basics of DNA, aimed at
mathematicians with no background in biochemistry, with the objective of establishing
a rudimentary foundation for Part I of the workshop "Experiments
in Physical Biology," May 2-6.

Zev Bryant (Department of
Biochemistry, Stanford University)
Single molecule mechanics of DNA
I will begin with a review of single molecule
manipulation
techniques applied to DNA and what they have taught us
about DNA physics and enzymology. I will then
concentrate on direct measurements of torque and twist
in single stretched DNA molecules. Torque and twist
measurements have provided insights into the
mechanical properties of DNA and laid the experimental
and conceptual groundwork for a new class of
mechanistic studies of DNA-associated enzymes. I will
conclude with an example of an enzymogical
application: a mechanochemical dissection of E. Coli
DNA gyrase.
Nikolaus P. Ernsting (Department
of Chemistry, Humboldt University, Berlin)
Molecular probes for DNA structure and dynamics
Slides: Part I Part II
Charge separation and subsequent transport along the pi-stack
is one of the mechanisms of radiative damage in double-stranded
DNA. Charge transfer (CT) is controlled by electronic
interaction between nearby nucleobases, and these interactions
in turn depend on the local structure and its fluctuation on a
picosecond time scale. The approach up to now has been to
measure the charge transfer rate for well-devised systems. In
the first lecture I will introduce the basic concepts and
outline the most influential experiments to date. Here we aim
for an elementary understanding of the distance or sequence
dependence of CT. Recent experiments which demonstrate gating
of charge transfer by the motion of nucleobases or solvent will
also be discussed.
The second lecture focuses on structure fluctuations, local
(1-3 basepairs) and fast (100 fs- 10 ps), but addresses them
separate from a CT process. For this purpose one needs suitable
molecular probes. Their excitation with femtosecond light
pulses perturbs the structure, and their fluorescence evolution
reports the response. The status, scope, and analysis needs of
femtosecond bandshape measurements will be discussed.
(1) Charge Transfer in ds DNA
Energetics and Electronics of Charge Transfer
Charge injection: photochemical approach
Charge injection: photophysical approach
Reason for distance dependence
Conformational dynamics influencing Charge Transfer
Motions and distributions of nucleobases
Solvation dynamics
(2) Molecular probing of conformational
dynamics
Model for the dye in its environment
Spectral evolution
Example using broadband transient absorption: local charge
fluctuations
Example using broadband fluorescence upconversion: free
volume
Nicholas Hud (Georgia Institute
of Technology)
DNA condensation
Free DNA in solution exists in a quasi-extended state that
is often modeled
as a worm-like chain. However, in living cells DNA exists in
much more
compact and ordered states. The most highly compact forms of
DNA are those
found in viruses and sperm cells, where compaction is of
paramount
importance and immediate access to the genetic code is not
required. In the
laboratory, multivalent cations can be used to condense DNA
from solution
into nanometer-scale particles with morphologies that resemble
DNA packaged
in viruses and sperm cells. Experimental investigations of DNA
condensation
in vitro have already revealed much about the physical
properties of DNA.
Continuing studies of DNA condensation by proteins isolated
from different
cell types are providing new insights into how high-density
packing of DNA
is achieved by living organisms.
Jason D. Kahn (Department of Chemistry and Biochemistry,
University of Maryland)
http://www.biochem.umd.edu/biochem/kahn/
DNA bending, twisting, and looping in the
control of
transcription
Proteins that activate or repress gene expression often
bring
about DNA deformation, and consequently they respond to DNA
shape and
flexibility. Examples include the TATA box binding protein
(TBP)
central to eukaryotic transcription, the lactose repressor
(LacI), and
the NtrC transcriptional activator . DNA cyclization kinetics
applied
to the TBP-DNA complex demonstrates unusual anisotropic
flexibility of
the unbound TATA box DNA sequence and also confirms the general
DNA
bend observed in crystal structures. The surprising appearance
of
negatively supercoiled products upon ring closure of short
bound DNA
suggests that the TBP-DNA complex is capable of flattening in
response
to external stress, which may be relevant to the recruitment of
TBP to
remodeled chromatin. Electrophoretic mobility shift,
cyclization, Monte
Carlo simulation, and bulk and single-molecule FRET experiments
applied
to DNA constructs designed to stabilize different LacI-DNA loop
geometries demonstrate that the protein can adopt both the
V-shaped
form seen in crystal structures and also a more open
conformation. The
choice between geometries is dictated by both protein and DNA
shape and
deformability. Finally, In vivo results on transcriptional
activation
of E. coli sigma-54 RNA polymerase by NtrC suggest that protein
multivalency and flexibility abrogate the expected influence of
DNA
shape, but suggest that dynamic DNA wrapping within an NtrC
enhanceosome may be essential to its function.

Sarah L.
Keller (Department of Chemistry, University of
Washington) http://depts.washington.edu/chemfac/keller.html
Abstract for the 2 talks:
(1) A gentle introduction to lipid membranes and resulting
miscibility phase diagrams
(2) Seeing spots: experimentally determining lipid
miscibility phase diagrams in free-floating vesicles, supported
membranes, and monolayers at an air-water interface
Mammalian cells are surrounded by an outer wall or "plasma
membrane"
of proteins and lipids arranged in opposing leaflets of a
bilayer.
There is growing evidence that this membrane is not uniform,
but
instead laterally phase separates into "raft" domains rich in
particular lipids and proteins. We study a simpler physical
model of
cell membranes, giant unilamellar vesicles (GUVs). Liquid
domains in
vesicles exhibit interesting behavior: they collide and
coalesce, can
finger into stripes, and can bulge out of the vesicle. We use
fluorescence microscopy to directly observe liquid domains in
the
vesicles. We cross miscibility phase transitions by changing
temperature. Using results from both fluorescence microscopy
and NMR
studies, we quantitatively construct tie-lines on phase
diagrams.
These tie-lines allow us to estimate free energies to transfer
lipids
between phases. We also find that it is possible to capture
domains
in lipid layers on glass substrates.
Thomas D.
Pollard (Departments of Molecular, Cellular &
Developmental
Biology, of Molecular Biophysics and Biochemistry and of Cell
Biology, Yale University, New Haven CT)
Quantitative analysis of actin-based cellular motility and
cytokinesis
Review: pdf
My research group uses a combination of biophysical methods,
molecular genetics and microscopy to study how cells assemble
actin
filaments to produce forces for cellular motility and
cytokinesis.
Recently we developed methods to measure the global and local
concentrations of many of the key proteins in live cells.
Arp2/3 complex nucleates a network of branched actin
filaments that pushes forward the leading edge of motile
eukaryotic
cells and cortical actin patches in fungi. We propose that
activation
of Arp2/3 complex involves a conformational change that
juxtaposes
Arp2 and Arp3 and that the active conformation is stabilized by
cooperative binding of WASp/Scar nucleation promoting factors,
the
first actin subunit in the daughter filament and mother
filaments.
Rho-family GTPases and membrane polyphosphoinositides activate
WASp,
presumably on the inner surface of the plasma membrane. Some of
these
events can be visualized in real time in fission yeast actin
patches.
Formins are a second class of GTPase-activated actin
filament
nucleation proteins. Cdc12p, the formin required for
cytokinesis of
fission yeast, is a profilin-gated barbed end capping protein.
Single
molecule experiments show that Cdc12p and budding yeast Bni1p
remain
bound to an elongating barbed ends for >1000 seconds and that
polymerization produces picoNewton forces. Five different
formins all
bind to the barbed end of actin filaments but vary in their
capping
activity. Profilin increases the rate of formin-mediated
addition
both ATP- and ADP-actin monomers to barbed ends, so ATP
hydrolysis is
not required for this process.
M. Thomas Record, Jr. (Department
of Chemistry, University of Wisconsin)
Wrapping of DNA on protein surfaces
The organization of large regions of DNA on the surface of
proteins is critical to many DNA 'transactions', including
replication, transcription, recombination and repair, as well
as the
packaging of chromosomal DNA. Thermodynamic and structural
studies
of DNA binding by integration host factor indicate that the
disruption of protein surface salt bridges (dehydrated ion
pairs)
dominates the observed thermodynamics of integration host
factor
binding and, more generally, allows the wrapping of DNA on
protein
surfaces. The proposed thermodynamic signature of wrapping
with
coupled salt bridge disruption includes large negative
salt-concentration-dependent enthalpy, entropy and heat
capacity
changes and smaller than expected magnitudes of the observed
binding
constant and its power dependence on salt concentration.
Examination
of the free structures of proteins recently shown to wrap DNA
leads
us to hypothesize that a pattern of surface salt bridges
interspersed
with cationic sidechains provides a structural signature for
wrapping
and that the number and organization of salt bridges and
cationic
groups dictate the thermodynamics and topology of DNA wrapping,
which
in turn are critical to function.
M. Thomas Record, Jr. (Department
of Chemistry, University of Wisconsin)
Large-scale conformational changes in RNA polymerase and
promoter DNA in transcription initiation
Opening of the transcription start site and the adjacent
regions of promoter DNA by RNA polymerase is accomplished
thermodynamically using binding free energy. The mechanism of
binding to and opening the promoter involves a sequence of
large
scale conformational changes.
Bending and wrapping of the upstream DNA occur early in the
process;
coupled folding of regions of polymerase occurs late, and the
kinetics are dominated by a slow conformational change once the
duplex DNA is in the jaw-like structure of the polymerase.
Kinetic
and footprinting studies to eluciate the nature of this
conformational change and of the intermediates will be
discussed.
Robert Schleif (Department of
Biology,
Johns Hopkins University)
DNA
looping: biology and mechanisms
What it is.
Why Nature uses it.
How it was discovered.
Additional experiments demonstrating looping.
Role of supercoiling in looping.
How looping is controlled in the arabinose system.
Jonathan Widom (Department of
Biochemistry, Molecular Biology and Cell Biology
and Department of Chemistry,
Northwestern University)
Sequence-dependent DNA mechanics in very small DNA circles and
nucleosomes
Part I of my lectures will summarize our recent studies on the
spontaneous bending and twisting of double stranded DNA. We
found
that DNAs that are much shorter than the DNA persistence length
easily form very small circles, whose inner diameters are only
a few
times larger than the diameter of the DNA from which they are
formed.
I will discuss our experiments that demonstrate that these
small
circles exist, summarize our current understanding of the
bendability
and twistability of the sharply bent DNA, and discuss striking
effects of particular DNA sequences on the relative ability of
the
circles to form. Part II will focus on sharply bent DNA as it
occurs
in nucleosomes, the fundamental structural subunits of
chromosomes in
people and all other higher life forms. I will discuss a
selection
experiment for DNA sequences that make especially stable
nucleosomes,
unexpected sequence motifs discovered in these selected DNAs
that are
responsible for their facile nucleosome formation, the relation
between nucleosome formation and spontaneous DNA cyclization,
and
current ideas for the molecular basis of sequence dependent DNA
bendability.
|