Math-Bio Seminar

Fall 2004

Modeling of genetic networks

 

Introduction (combination of handouts distributed Sep. 7 and Sep. 14)

List of papers for presentations is here. Papers shown in blue have been already presented. You may present a paper of your choice after consulting the seminar leader.

 

Reading assignment for Sep. 21:

  1. J.S. Griffith, Mathematics of cellular control processes I. Negative feedback to one gene, J. Theor. Biol. 20, 202-208 (1968).
  2. J.S. Griffith, Mathematics of cellular control processes II. Positive feedback to one gene, J. Theor. Biol. 20, 209-216 (1968). PDF with 1. and 2.
  3. J.L. Cherry & F.R. Adler, How to make a biological switch, J. Theor. Biol., 203, 117-133 (2000). PDF

 

Reading assignment for Oct. 12

  1. M.B. Elowitz & S. Liebler, A synthetic oscillatory network of transcriptional regulators, Nature 403, 335-338 (2000). PDF
  2. J. Garcia-Ojalvo, M.B. Elowitz, & S.H. Strogatz, Modeling a synthetic multicellular clock: Repressilators coupled by quorum sensing, Proc. Nat. Acad. Sci. USA, 101, 10955-10960 (2004). PDF

 

Reading assignment for Oct. 19

  1. H.J. Wearing, M.R. Owen, & J.A. Sherratt, Mathematical modelling of juxtacrine patterning, Bull. Math. Biol. 62, 293-320 (2000). PDF

 

Reading assignment for Oct. 26

  1. R. Albert & H.G. Othmer, The topology of the regulatory interactions predicts the expression pattern of the segment polarity genes in Drosophila melanogaster, J. Theor. Biol. 223, 1-18 (2003). PDF

 

Reading assignment for Nov.

  1. B.D. Aguda & B. Clarke, Dynamic elements of chaos in the Willamowski-Rossler network, J. Chem. Phys. 89, 7428-7434 (1988). PDF