Recent work by Konstantin Mischaikow

Mathematical Biology

• Gene Regulatory Networks

• E. Boczko, T. Cooper, T. Gedeon, K. Mischaikow, D. Murdock, S. Pratap, and S. Wells, Structure Theorems and the Dynamics of Nitrogen Catabolite Repression in Yeast, P.N.A.S. 102 (2005) 5647-5652.
• E. Boczko,  T. Gedeon, and K. Mischaikow,  Dynamics of a simple regulatory switch, J. Math. Biology, (2007).
  
• T. Gedeon, K. Mischaikow, K. Patterson and E. Traldi,  When activators repress and repressors activate: a qualitative analysis of the Shea-Ackers model, (2007)
  
• T. Gedeon, K. Mischaikow, K. Patterson and E. Traldi,  Binding cooperativity in phage l is not sufficient to produce an effective switch, (2007)
  
• E. Boczko,  C. Stowers, K. Mischaikow, T. Gedeon and D. Hackworth,  Extending cell cycle synchrony and deconvolving population effects in budding yeast through an analysis of volume growth with a structured Leslie Model, (2007)
  

• Population Biology

• V. Hutson, Y. Lou, and K. Mischaikow, Convergence in competition models with small diffusion coefficients, J. D. E. 211 (2005) 135-161.
  
• G. Flores and K. Mischaikow, Selection of slow diffusion in a reaction diffusion model: limiting cases, Rocky Mtn. J. Math. 34 (2004) 1299-1325.
  
• M. Grinfeld, G. Hines, V. Hutson, K. Mischaikow, and G. Vickers,  Nonlocal Dispersal,  Diff. and Int. Eqns. 18 (2005) 1299-1320.
  
• S. Day, O. Junge, and K. Mischaikow, A Rigorous Numerical Method for the Global Analysis of Infinite Dimensional Discrete Dynamical Systems , SIAM J. Appl. Dyn. Syst., 3 (2004), 117-160.
• V. Hutson, S. Martinez, K. Mischaikow, and G. T. Vickers, The evolution of dispersal. J. Math Biology 47 (2003) 483--517.
• V. Hutson, Y. Lou,  K. Mischaikow, and P. Polacik,  Competing Species Near a Degenerate Limit (The final version can be found in SIAM Math Anal. 35 (2003) 453--491)
• V. Hutson, Y. Lou, and K. Mischaikow,  Spatial Heterogeneity of Resources versus Lotka-Volterra Dynamics, (The final version can be found in J. Diff. Eqns. 185 (2002))
• V. Hutson, K. Mischaikow, and P. Polacik,  The Evolution of Dispersal Rates in a Heterogeneous Time-Periodic Environment  (The final version can be found in J Math Biol 43 (2001) 6, 501-533)
• V. Hutson, K. Mischaikow, and G. T. Vickers, Multiple Travelling Waves in Evolutionary Game Dynamics (The final version can be found in Japanese Journal of Industrial and Applied Math.)
• V. Hutson and K. Mischaikow, Periodic Travelling Waves . (The final version can be found in Conley Index Theory, Banach Center Publications, 47, 1999.)
• J. Dockery, V. Hutson, K. Mischaikow, M. Pernarowski , The evolution of slow dispersal rates: a reaction diffusion model (The final version can be found in J. Math. Biol. 37 (1998) 61-83 )