Deterministic and stochastic simulations of simple genetic circuits

• Autorzy: Ofer Biham , Nathalie Q. Balaban , Adiel Loinger , Azi Lipshtat , Hagai B. Perets
• Języki publikacji: EN

Abstrakty

EN

We analyze three simple genetic circuits which involve transcriptional regulation and feedback: the autorepressor, the switch and the repressilator, that consist of one, two and three genes, respectively. Such systems are commonly simulated using rate equations, that account for the concentrations of the mRNAs and proteins produced by these genes. Rate equations are suitable when the concentrations of the relevant molecules in a cell are large and fluctuations are negligible. However, when some of the proteins in the circuit appear in low copy numbers, fluctuations become important and the rate equations fail. In this case stochastic methods, such as direct numerical integration of the master equation or Monte Carlo simulations are required. Here we present deterministic and stochastic simulations of the autorepressor, the switch and the repressilator. We show that fluctuations give rise to quantitative and qualitative changes in the dynamics of these systems. In particular, we demonstrate a fluctuations-induced bistability in a variant of the genetic switch and and noisy oscillations obtained in the repressilator circuit.

Kategorie tematyczne

• 92D10: Genetics

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2008
• Tom: 80
• Numer: 1
• Strony: 71-82

Daty

wydano

2008

Twórcy

autor

Ofer Biham

• Racah Institute of Physics, The Hebrew University, Jerusalem 91904, Israel

autor

Nathalie Q. Balaban

• Racah Institute of Physics, The Hebrew University, Jerusalem 91904, Israel

autor

Adiel Loinger

• Racah Institute of Physics, The Hebrew University, Jerusalem 91904, Israel

autor

Azi Lipshtat

• Department of Pharmacology and Biological Chemistry, Mount Sinai, School of Medicine, New York, NY 10029, U.S.A.

autor

Hagai B. Perets

• Faculty of Physics, Weizmann Institute of Science, Rehovot 76100, Israel

Identyfikatory

DOI

10.4064/bc80-0-4