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Computing the projected reachable set of switched affine systems: an application to systems biology
[article]
2017
arXiv
pre-print
A fundamental question in systems biology is what combinations of mean and variance of the species present in a stochastic biochemical reaction network are attainable by perturbing the system with an external signal. To address this question, we show that the moments evolution in any generic network can be either approximated or, under suitable assumptions, computed exactly as the solution of a switched affine system. Motivated by this application, we propose a new method to approximate the
arXiv:1705.00400v1
fatcat:gyx3kchhprayri3aeeja54qjga