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dynamics days 2007

Friday, January 5 — Session 9: Genes
4:20-5 pm

Reka Albert
Pennsylvania State University

Dynamics of biological regulatory networks

Interaction  between  gene  products  forms  the  basis  of
essential  processes  like  signal  transduction, cell  metabolism  or
embryonic  development.  Recent  experimental advances  helped uncover the structure of many cellular  networks, creating a surge of interest in  the  dynamical  description  of  gene  regulation.   Traditionally genetic and protein interactions are modeled by differential equations based on reaction kinetics, but  these studies are greatly hampered by the sparsity  of known kinetic detail. As  an alternative, qualitative models assuming a  small set of discrete states  for gene products, or combinations  of   discrete  and  continuous   dynamics,  are  gaining acceptance. Many  results also  suggest that the  interaction topology plays a  determining role in  the dynamics of regulatory  networks and there is  significant robustness to changes in  kinetic parameters. In this presentation I will explore models of the gene regulatory network governing the  segmentation of  fruit fly embryos,  and of  the signal transduction  network  regulating drought  response  in plants.   Each model is  able to  give predictions and  insights into  its respective biological  process,  and  illuminates  the  emergent  (network-level) functional robustness of cellular regulatory networks.



5-5:20 pm

James Lu
Johann Radon Institute for Computational and Applied Mathematics
(RICAM)
Email: james.lu@oeaw.ac.at

authors: Heinz W. Engl, RICAM; Peter Schuster, University of Vienna

Inverse analysis for uncovering roles of network components in gene regulation

Given a large, highly-nonlinear ODE  model of a gene regulatory network, relating aspects of its dynamical properties back to the network structure is a highly challenging task. However, questions of this type are prevalent in the study of biological systems: how is the control mechanism of cell cycle encoded in the topology of the regulatory network?  what are the possible causes for an observed mutant phenotype that loses a certain dynamical property?

In this talk, we propose a method for carrying out such (nonlinear) inverse dynamical/bifurcation analyses. To study the causes of a certain physiological property, a sequence of bifurcation diagrams is generated, each of which is 'sparsely' mapped to the parameter space via the use of sparsity-promoting regularization functionals. In combination with hierarchical identification strategies, the roles of network components can be elucidated. We demonstrate the methodology in studying cell cycle and circadian rhythm models.


5:20-6 pm

James Collins
Boston University
Center for BioDynamics and Department of Biomedical Engineering
Boston University

Engineering Gene Networks: Integrating Synthetic Biology &
Systems Biology

Many fundamental cellular  processes are governed by genetic
programs which employ protein-DNA interactions in regulating function.
Owing to recent  technological advances, it is now  possible to design
synthetic  gene regulatory  networks, and  the  stage is  set for  the
notion   of   engineered   cellular   control  at   the   DNA   level.
Theoretically, the biochemistry of  the feedback loops associated with
protein-DNA interactions  often leads to nonlinear  equations, and the
tools  of nonlinear  analysis  become invaluable.   In  this talk,  we
describe how techniques from  nonlinear dynamics and molecular biology can  be  utilized  to  model,  design  and  construct  synthetic  gene regulatory networks.   We present examples  in which we  integrate the development  of  a  theoretical  model  with the  construction  of  an experimental system.   We also  discuss the implications  of synthetic gene  networks for  biotechnology, biomedicine  and  biocomputing.  In addition, we  present integrated computational-experimental approaches that  enable  construction   of  first-order  quantitative  models  of gene-protein  regulatory networks  using only  steady-state expression measurements  and no  prior information  on the  network  structure or function.   We  discuss  how  the reverse-engineered  network  models, coupled  to experiments, can  be used:  (1) to  gain insight  into the regulatory role of  individual genes and proteins in  the network, (2) to identify the pathways  and gene products targeted by pharmaceutical compounds,  and (3)  to identify  the genetic  mediators  of different diseases.


 


 

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