Laboratory for Control, Learning, and Systems Biology

Ising spin models

2007
  1. ▪E.D. Sontag, "Monotone and near-monotone biochemical networks", Systems and Synthetic Biology, vol. 1, pp. 59-87, 2007. doipdf
    systems biology · reaction networks · monotone systems · Ising spin models · nonlinear stability · dynamical systems · consistent graphs · gene networks
    Abstract

    This paper provides an expository introduction to monotone and near-monotone biochemical network structures. Monotone systems respond in a predictable fashion to perturbations, and have very robust dynamical characteristics. This makes them reliable components of more complex networks, and suggests that natural biological systems may have evolved to be, if not monotone, at least close to monotone. In addition, interconnections of monotone systems may be fruitfully analyzed using tools from control theory.

  2. ▪E.D. Sontag, "Monotone and near-monotone systems", In Biology and Control Theory: Current Challenges (Lecture Notes in Control and Information Sciences Volume 357), pp. 79-122, 2007.
    Conference version of ``Monotone and near-monotone biochemical networks,'' basically the same paper.
    systems biology · reaction networks · monotone systems · Ising spin models · nonlinear stability · dynamical systems · consistent graphs · gene networks
    Abstract

    See abstract and pdf for ``Monotone and near-monotone biochemical networks''.