Gene Expression in Self-repressing System with Multiple Gene Copies

Bulletin of Mathematical Biology

Volumn 75, Issue 2, 2013, Pages 317-330

  Miȩkisz, Jacek ^a   Szymańska, Paulina ^b  

^a UNIVERSITY OF WARSAW   (Poland)

^b UNIVERSITY OF WARSAW   (Poland)

Author keywords

Multiple gene copies; Self repressing gene

Indexed keywords

BIOLOGICAL MODEL; GENE DOSAGE; GENE EXPRESSION REGULATION; GENETIC TRANSCRIPTION; MATHEMATICAL COMPUTING; STATISTICS;

GENE DOSAGE; GENE EXPRESSION REGULATION; MODELS, GENETIC; NUMERICAL ANALYSIS, COMPUTER-ASSISTED; STOCHASTIC PROCESSES; TRANSCRIPTION, GENETIC;

EID: 84873749551     PISSN: 00928240     EISSN: 15229602     Source Type: Journal    
DOI: 10.1007/s11538-013-9808-7     Document Type: Article

References (24)

1. Barzel, B., & Biham, O. (2011). Binomial moment equations for stochastic reaction systems. Phys. Rev. Lett., 106, 150602.
2. Barzel, B., Biham, O., & Kupferman, R. (2011). Analysis of the multiplane method for stochastic simulations of reaction networks with fluctuations. Multiscale Model. Simul., 6, 963-982.
3. Becskei, A., & Serrano, L. (2000). Engineering stability in gene networks by autoregulation. Nature, 405, 590-593.
4. Hat, B., Paszek, P., Kimmel, M., Piechór, K., & Lipniacki, T. (2007). How the number of alleles influences gene expression. J. Stat. Phys., 128, 511-533.
5. Hornos, J. E., Schultz, D., Innocentini, G. C., Wang, J., Walczak, A. M., Onuchic, J. N., & Wolynes, P. G. (2005). Self-regulating gene: an exact solution. Phys. Rev. E, 72, 051907.
6. Huang, K. (1963). Statistical mechanics. New York: Wiley.
7. Kepler, T., & Elston, T. (2001). Stochasticity in transcriptional regulation: origins, consequences, and mathematical representations. Biophys. J., 81, 3116-3136.
8. Komorowski, M., Miȩkisz, J., & Kierzek, A. (2009). Translational repression contributes greater noise to gene expression than transcriptional repression. Biophys. J., 96, 372-384.
9. Lipniacki, T., Paszek, P., Marciniak-Czochra, A., Brasier, A. R., & Kimmel, M. (2006). Transcriptional stochasticity in gene expression. J. Theor. Biol., 238, 348-367.
10. Lipshtat, A., Perets, H., Balaban, N., & Biham, O. (2005). Modeling of negative autoregulated genetic networks in single cells. Gene, 347, 265-271.
11. Loinger, A., & Biham, O. (2009). Analysis of genetic toggle switch systems encoded on plasmids. Phys. Rev. Lett., 103, 068104.
12. Ma, S.-K. (1985). Statistical mechanics. Singapore: World Scientific.
13. Miȩkisz, J., & Szymańska, P. (2012). On spins and genes. Math. Appl., 40(1), 15-25.
14. Nasell, I. (2003). An extension of the moment closure method. Theor. Popul. Biol., 64, 233-239.
15. Ohkubo, J. (2010). Approximation scheme based on effective interactions for stochastic gene regulation. Phys. Rev. E, 83, 041915.
16. Paszek, P. (2007). Modeling stochasticity in gene regulation: characterization in the terms of the underlying distribution function. Bull. Math. Biol., 69, 1597-1601.
17. Paulsson, J. (2004). Summing up the noise in gene networks. Nature, 427, 415-418.
18. Paulsson, J. (2005). Models of stochastic gene expression. Phys. Life Rev., 2, 157-175.
19. Qian, H., Shi, P.-Z., & Xing, J. (2009). Stochastic bifurcation, slow fluctuations, and bistability as an origin of biochemical complexity. Phys. Chem. Chem. Phys., 11, 4861-4870.
20. Ramos, A. F., Innocentini, G. P., & Hornos, J. E. (2011). Exact time dependent solutions for a self-regulating gene. Phys. Rev. E, 83, 062902.
21. Simpson, M., Cox, L. C. D., & Sayler, G. S. (2003). Frequency domain analysis of noise in autoregulated gene circuits. Proc. Natl. Acad. Sci. USA, 100, 4551-4556.
22. Swain, P. S., Elowitz, M. B., & Siggia, E. D. (2002). Intrinsic and extrinsic contributions to stochasticity in gene expression. Proc. Natl. Acad. Sci. USA, 99, 12795-12800.
23. Thattai, M., & van Oudenaarden, A. (2001). Intrinsic noise in gene regulatory networks. Proc. Natl. Acad. Sci. USA, 98, 8614-8619.
24. van Kampen, N. (1997). Stochastic processes in physics and chemistry (2nd ed.). Amsterdam: Elsevier.