Laboratory for Control, Learning, and Systems Biology

probability theory

2010
  1. ▪E.D. Sontag, D. Zeilberger, "A symbolic computation approach to a problem involving multivariate Poisson distributions", Advances in Applied Mathematics, vol. 44, pp. 359-377, 2010. pdf
    There are typos in the published version. Please see this file for corrections: https://drive.google.com/file/d/0BzWFHczJF2INUlEtVkFJOUJiUFU/view
    probability theory · stochastic systems · systems biology · reaction networks · chemical master equation
    Abstract

    Multivariate Poisson random variables subject to linear integer constraints arise in several application areas, such as queuing and biomolecular networks. This note shows how to compute conditional statistics in this context, by employing WZ Theory and associated algorithms. A symbolic computation package has been developed and is made freely available. A discussion of motivating biomolecular problems is also provided.