Mathematics 596a
Biomathematics Seminar
Fall 2010
Titles and Abstracts
September 7 5:00 PM |
Logan
Ahlstrom, Brian Anderson, and Ian Borukhovich Merging
Experimental and Theoretic Approaches to Predicting Protein Structure Knowing
3-d protein structure is an essential step in understanding and developing
treatments of any protein related disease.
Ab initio approaches, the holy grail of
protein structure prediction, are presently insufficient. We
present a survey of recent progress that
combines
experimental and computational approaches. |
September 14 5:00 PM |
Matthew
Cordes Department
of Chemistry and Biochemistry Application
of Combined Experimental NMR and Ab Initio Computational Methods to Protein
Structure Determination Experimental
determination of protein structures using nuclear magnetic resonance (NMR)
spectroscopy is difficult for medium-to-large proteins (size 20-25 kDa and
above), both because of the complexity of correctly assigning resonance peaks
to a large number of specific nuclei in the protein, and because enhanced
relaxation processes impede collection of high sensitivity, well-resolved
data. Ab initio computational protein structure prediction also faces major
barriers to correct modelling of mid- to large-sized proteins, in
part because of the complexity of the conformational search problem.
Recent techniques developed in the Baker and Bax labs, however, have shown
that sparse, readily obtainable NMR data, coupled with ab initio prediction
using the Rosetta algorithm, can successfully model structures for many
moderate-sized proteins. This advance illustrates how combination of limited
experimental data with a computational approach can solve problems beyond the
reach of either one alone. I will discuss these techniques and how we
are trying to apply them to modelling of the structure of a ~20 kDa insect
lipocalin protein in my laboratory. |
September 21 5:00 PM |
Osama
Miyashita Department
of Chemistry and Biochemistry Molecular
Dynamics Simulation: Force fields and Algorithms We
will present methods used to simulate proteins dynamics. This lecture will
cover potential energy functions, force fields used to describe proteins in
MD simulations. Algorithms to simulate the evolution of the atoms as a
function of time will also be discussed. Finally, we will talk about the
advantages and limitations of these methods. |
September 28 5:00 PM |
Joe
Watkins Department
of Mathematics An
Introduction to Markov Chain Monte Carlo |
October 5 |
No
Seminar |
October 12 5:00 PM |
David
Lyttle and Simon Stump Program
in Applied Mathematics and Department of Ecology and Environmental Biology |
October 19 5:00 PM |
Ryan
Gutenkunst Department
of Molecular and Cellular Biology Rules-Based
Modeling for Signal Transduction As
pointed out last week, all modeling involves tradeoffs between scope (how much
of the system to include) and detail (how faithfully to represent each
component). This week we discuss rules-based modeling, a set of concepts and
tools designed to mitigate this tension, particularly in the modeling of
cellular signal transduction networks. As motivation, we will first examine
the architecture and biochemistry of typical signal transduction networks and
how they lead to "combinatorial complexity." We will then introduce
rules-based modeling, which tackles this complexity by focusing not on
reactions, but on rules for classes of reactions. Finally, we will discuss
deterministic and stochastic methods for simulating rules-based models, along
with open problems in the field. |
October 26 5:00 PM |
Ryan
Gutenkunst Department
of Molecular and Cellular Biology Stochastic
Simulation in Systems Biology We
will discuss methods for simulating stochastic systems, with a particular
emphasis on applications in molecular and cellular biology. To motivate the
algorithms, we will first discuss experiments revealing the important role
noise plays in particular systems. We then turn to the simulation algorithms,
beginning with an in-depth study of GillespieÕs algorithm. The limitations of
the Gillespie algorithm then motivate several approximate schemes. Time
permitting, we will also discuss methods for directly solving the chemical
master equation. |
November 2 5:00 PM |
David
Lyttle and Simon Stump Applications
of the Gillespie Algorithm |
November 9 |
No
Seminar |
November 16 5:00 PM |
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November 23 5:00 PM |
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November 30 5:00 PM |
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December 7 5:00 PM |
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