- Open Access
- Access by Xinjiang University
Morphogen profiles can be optimized to buffer against noise
Phys. Rev. E 80, 041902 – Published 2 October, 2009
DOI: https://doi.org/10.1103/PhysRevE.80.041902
Abstract
Morphogen profiles play a vital role in biology by specifying position in embryonic development. However, the factors that influence the shape of a morphogen profile remain poorly understood. Since morphogens should provide precise positional information, one significant factor is the robustness of the profile to noise. We compare three experimentally relevant classes of morphogen profiles (linear, exponential, and algebraic) to see which is most precise when subject to both external embryo-to-embryo fluctuations and internal fluctuations due to intrinsically random processes such as diffusion. We find that both the kinetic parameters and the overall gradient shape (e.g., exponential versus algebraic) can be optimized to generate maximally precise positional information.
Article Text
References (32)
- A. D. Lander, Cell 128, 245 (2007).
- A. Eldar et al., Dev. Cell 5, 635 (2003).
- T. Bollenbach, K. Kruse, P. Pantazis, M. Gonzalez-Gaitan, and F. Julicher, Phys. Rev. Lett. 94, 018103 (2005).
- D. M. Umulis, M. B. O’Connor, and H. G. Othmer, Curr. Top. Dev. Biol. 81, 65 (2008).
- H. C. Berg and E. M. Purcell, Biophys. J. 20, 193 (1977).
- W. Bialek and S. Setayeshgar, Proc. Natl. Acad. Sci. U.S.A. 102, 10040 (2005).
- F. Tostevin, P. R. ten Wolde, and M. Howard, PLOS Comput. Biol. 3, e78 (2007).
- T. Gregor et al., Cell 130, 153 (2007).
- J. L. England and J. Cardy, Phys. Rev. Lett. 94, 078101 (2005).
- Manu et al., PLoS Biol. 7, e1000049 (2009).
- O. Crauk and N. Dostatni, Curr. Biol. 15, 1888 (2005).
- S. Bergmann et al., PLoS Biol. 5, e46 (2007).
- T. Gregor et al., Cell 130, 141 (2007).
- B. Houchmandzadeh, E. Wieschaus, and S. Leibler, Nature (London) 415, 798 (2002).
- A. Kicheva et al., Science 315, 521 (2007).
- G. Tkačik, C. G. Callan, Jr., and W. Bialek, Proc. Natl. Acad. Sci. U.S.A. 105, 12265 (2008).
- E. Emberly, Phys. Rev. E 77, 041903 (2008).
- F. Crick, Nature (London) 225, 420 (1970).
- D. Ben-Zvi et al., Nature (London) 453, 1205 (2008).
- Y. Sakai et al., Genes Dev. 15, 213 (2001).
- Y. F. Wu, E. Myasnikova, and J. Reinitz, BMC Syst. Biol. 1, 52 (2007).
- D. Lepzelter and J. Wang, Phys. Rev. E 77, 041917 (2008).
- H. H. McAdams and A. Arkin, Proc. Natl. Acad. Sci. U.S.A. 94, 814 (1997).
- G. Tkačik and W. Bialek, Phys. Rev. E 79, 051901 (2009).
- U. C. Täuber, M. Howard, and B. P. Vollmayr-Lee, J. Phys. A 38, R79 (2005).
- G. Tkačik, T. Gregor, and W. Bialek, PLoS ONE 3, e2774 (2008).
- T. Erdmann, M. Howard, and P. R. ten Wolde, e-print arXiv:0907.4289.
- T. Gregor et al., Proc. Natl. Acad. Sci. U.S.A. 102, 18403 (2005).
- R. Finkelstein and N. Perrimon, Nature (London) 346, 485 (1990).
- M. Coppey, A. M. Berezhkovskii, Y. Kim, A. N. Boettiger, and S. Y. Shvartsman, Dev. Biol. 312, 623 (2007).
- A. Spirov et al., Development 136, 605 (2009).
- F. He et al., Dev. Cell 15, 558 (2008).