Stochastic Complexity Analysis in Synthetic Biology

Autor: Natalja Strelkowa
Rok vydání: 2013
Předmět:
Zdroj: How Nature Works ISBN: 9783319002538
DOI: 10.1007/978-3-319-00254-5_8
Popis: In this chapter we present selected mathematical methods used for the design of synthetic gene networks. We showcase the method applications on the generalized repressilator model which simplest special cases—a genetic switch and a genetic oscillator—have been implemented in living bacterial cells. The concepts for switches and oscillators used in synthetic biology are originally from electrical engineering and were transferred to synthetic biology using mathematical analysis. However the straight transfer is not always possible due to low copy number stochasticity and time-limited cell environments. We explore the implications of inherent stochasticity and of nontrivial long lasting transients on gene network models revealing that these effects can lead to qualitatively different dynamics compared to steady states. Therefore, mathematical analysis of synthetic gene expression networks should not be limited to exploration of the steady states, but include the influence of stochasticity and transient dynamics.
Databáze: OpenAIRE