Modeling Subtilin Production in Bacillus subtilis Using Stochastic Hybrid Systems

1. Amonlirdviman, K., Ghosh, R., Axelrod, J.D., Tomlin, C.: A hybrid systems approach to modeling and analyzing planar cell polarity. In: Proc. 3rd Int. Conf. on Systems Biology, Stockholm, Sweden (December 2002)

   Google Scholar 

2. Banerjee, S., Hansen, J.N.: Structure and expression of a gene encoding the precursor of subtilin, a small protein antibiotic. J. Biol. Chem. 263(19), 9508–9514 (1988)

   Google Scholar 

3. Bujorianu, M.L., Lygeros, J.: Reachability questions in piecewise deterministic markov processes. In: Maler, O., Pnueli, A. (eds.) HSCC 2003. LNCS, vol. 2623, pp. 126–140. Springer, Heidelberg (2003)

   Chapter  Google Scholar 

4. Cipra, B.A.: An introduction to the Ising model. Amer. Math. Monthly 94, 937–959 (1987)

   Article  MathSciNet  Google Scholar 

5. Durrett, R.: Probability: Theory and Examples, 2nd edn. Duxbury Press, Boston (1996)

   Google Scholar 

6. Elowitz, M.B., Levine, A.J., Siggia, E.D., Swain, P.S.: Stochastic gene expression in a single cell. Science 297, 1183–1186 (2002)

   Article  Google Scholar 

7. Entian, K.D., de Vos, W.M.: Genetics of subtilin and nisin biosyntheses: biosynthesis of lantibiotics. Antonie van Leeuwenhoek 69, 109–117 (1996)

   Article  Google Scholar 

8. Ghosh, R., Tomlin, C.: Lateral inhibition through delta-notch signaling: A piecewise affine hybrid model. In: di Benedetto, M.D., Sangiovanni- Vincentelli, A.L. (eds.) HSCC 2001. LNCS, vol. 2034, pp. 232–246. Springer, Heidelberg (2001)

   Chapter  Google Scholar 

9. Gillespie, D.T.: Exact stochastic simulation of coupled chemical reactions. J. of Phys. Chem. 81(25), 2340–2361 (1977)

   Article  Google Scholar 

10. Hu, J., Lygeros, J., Sastry, S.: Towards a theory of stochastic hybrid systems. In: Lynch, N.A., Krogh, B.H. (eds.) HSCC 2000. LNCS, vol. 1790, pp. 160–173. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

11. Kiesau, P., Eikmanns, U., Eckel, Z.G., Weber, S., Hammelmann, M., Entian, K.D.: Evidence for a multimeric subtilin synthetase complex. J. of Bacteriology 179(5), 1475–1481 (1997)

    Google Scholar 

12. Kleerebezem, M., Quadri, L.E.: Peptide pheromone-dependent regulation of antimicrobial peptide production in gram-positive bacteria: a case of multicellular behavior. Peptides 22, 1579–1596 (2001)

    Article  Google Scholar 

13. McAdams, H.H., Arkin, A.: Stochastic mechanisms in gene expression. Proc. Natl. Acad. Sci. 94, 814–819 (1997)

    Article  Google Scholar 

14. McAdams, H.H., Arkin, A.: It’s a noisy bussiness! genetic regulation at the nanomolar scale. TIG 15(2), 65–69 (1999)

    Article  Google Scholar 

15. Msadek, T.: When the going gets tough: survival strategies and environmental signaling networks in Bacillus subtilis. Trends in Microbiology 7(5), 201–207 (1999)

    Article  Google Scholar 

16. Ozbudak, E.M., Thattai, M., Kurtser, I., Grossman, A.D., van Oudenaarden, A.: Regulation of noise in the expression of a single gene. Nature Genetics 31, 69–73 (2002)

    Article  Google Scholar 

17. Rao, C.V., Wolf, D.M., Arkin, A.P.: Control, exploitation and tolerance of intracellular noise. Nature 402, 231–237 (2002)

    Article  Google Scholar 

18. Shea, M.A., Ackers, G.K.: The O _R control system of bacteriophage lambda. A physical-chemical model for gene regulation. J. Mol. Biol. 181, 211–230 (1985)

    Article  Google Scholar 

19. Stein, T., Borchert, S., Kiesau, P., Heinzmann, S., Kloss, S., Klein, C., Helfrich, M., Entian, K.D.: Dual control of subtilin biosynthesis and immunity in Bacillus subtilis. Molecular Microbiology 44(2), 403–416 (2002)

    Article  Google Scholar 

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