The Reduced Neubert-Kot Model
by Mike Martin

This page generates plots for the reduced Neubert-Kot Model:

The model helps to descibe the dynamics between the population levels of two different groups -- the predators and the prey.   The measure for the prey population is denoted byxt.   The measure for the predators is denoted by xt. The two parameters, r and c, are both non-negative and can be interpreted through the substitution used and assumption made for the full Neubert-Kot model.   T is the last generation considered with the simulation.   x1 is the initial amount of prey and y1 is the initial amount of predators.   The sequence xt is displayed in the graph in BLUE and the sequence yt is given in BROWN.

Enter in the values of the non-negative parameters (descibed above), then press the "Evaluate" button.

r =  

c =  

T =  

x1 =  

y1 =  




References:

Changeux, J.P. (1964). Allosteric interactions interpreted in terms of quaternary structure. Brookhaven Symposia in Biology, 17: 232-249.

Monod, J., J. Wyman, and J.P. Changeux (1965). On the nature of allosteric transitions: a plausible model. J. Mol. Biol., 12: 88-118.

S.J. Edelstein (1971). Extensions of the allosteric model for hemoglobin. Nature, 230:224-227.

Changeux JP, Edelstein SJ (1998). Allosteric receptors after 30 years. Neuron, 21: 959-980.

T.A. Duke, N. Le Novere, D. Bray (2001). Conformational spread in a ring of proteins: a stochastic approach to allostery. J. Mol Biol, 308:541-553.

Changeux J.P., S.J. Edelstein (2005). Allosteric mechanisms of signal transduction. Science, 2005 Jun 3;308(5727):1424-8.

Klipp, E, R Herwig, A Kowald, C Wierling, H Lehrach Systems Biology in Practice. Wiley, Berlin, Germany, 2005.