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Science 314 (5804): 1397-1398

Copyright © 2006 by the American Association for the Advancement of Science

The Turing Model Comes of Molecular Age

Philip K. Maini,1 Ruth E. Baker,2 Cheng-Ming Chuong3

Molecular analyses of hair follicle formation provide evidence to support the most well-known mathematical model for biological pattern formation.

1P. K. Maini is at the Center for Mathematical Biology, University of Oxford, Oxford OX1 3LB, UK, and the Oxford Center for Integrative Systems Biology, University of Oxford, Oxford OX1 3QU, UK. E-mail: maini{at}

2R. E. Baker is at the Center for Mathematical Biology, University of Oxford, Oxford OX1 3LB, UK.

3C.-M. Chuong is in the Department of Pathology, University of Southern California, Los Angeles, CA 90033, USA.

Testing Turing's theory of morphogenesis in chemical cells.
N. Tompkins, N. Li, C. Girabawe, M. Heymann, G. B. Ermentrout, I. R. Epstein, and S. Fraden (2014)
PNAS 111, 4397-4402
   Abstract »    Full Text »    PDF »
Temporal control of self-organized pattern formation without morphogen gradients in bacteria.
S. Payne, B. Li, Y. Cao, D. Schaeffer, M. D. Ryser, and L. You (2014)
Mol Syst Biol 9, 697
   Abstract »    Full Text »    PDF »
Wnt Signaling in Skin Development, Homeostasis, and Disease.
X. Lim and R. Nusse (2013)
Cold Spring Harb Perspect Biol 5, a008029
   Abstract »    Full Text »    PDF »
Turing's model for biological pattern formation and the robustness problem.
P. K. Maini, T. E. Woolley, R. E. Baker, E. A. Gaffney, and S. S. Lee (2012)
Interface Focus 2, 487-496
   Abstract »    Full Text »    PDF »
Patterns of periodic holes created by increased cell motility.
T.-H. Chen, C. Guo, X. Zhao, Y. Yao, K. I. Bostrom, M. N. Wong, Y. Tintut, L. L. Demer, C.-M. Ho, and A. Garfinkel (2012)
Interface Focus 2, 457-464
   Abstract »    Full Text »    PDF »
Wing vein patterns of the Hemiptera insect Orosanga japonicus differ among individuals.
E. Yoshimoto and S. Kondo (2012)
Interface Focus 2, 451-456
   Abstract »    Full Text »    PDF »
The importance of structured noise in the generation of self-organizing tissue patterns through contact-mediated cell-cell signalling.
M. Cohen, B. Baum, and M. Miodownik (2011)
J R Soc Interface 8, 787-798
   Abstract »    Full Text »    PDF »
Tomography of Reaction-Diffusion Microemulsions Reveals Three-Dimensional Turing Patterns.
T. Bansagi Jr., V. K. Vanag, and I. R. Epstein (2011)
Science 331, 1309-1312
   Abstract »    Full Text »    PDF »
Self-organization, Natural Selection, and Evolution: Cellular Hardware and Genetic Software.
B. R. Johnson and S. K. Lam (2010)
BioScience 60, 879-885
   Abstract »    Full Text »    PDF »
Follistatin modulates a BMP autoregulatory loop to control the size and patterning of sensory domains in the developing tongue.
C. L. Beites, P. L. W. Hollenbeck, J. Kim, R. Lovell-Badge, A. D. Lander, and A. L. Calof (2009)
Development 136, 2187-2197
   Abstract »    Full Text »    PDF »
A mathematical approach to bone tissue engineering.
J.A. Sanz-Herrera, J.M. Garcia-Aznar, and M. Doblare (2009)
Phil Trans R Soc A 367, 2055-2078
   Abstract »    Full Text »    PDF »
Activation of {beta}-catenin signaling programs embryonic epidermis to hair follicle fate.
Y. Zhang, T. Andl, S. H. Yang, M. Teta, F. Liu, J. T. Seykora, J. W. Tobias, S. Piccolo, R. Schmidt-Ullrich, A. Nagy, et al. (2008)
Development 135, 2161-2172
   Abstract »    Full Text »    PDF »
Matrix GLA Protein, an Inhibitory Morphogen in Pulmonary Vascular Development.
Y. Yao, S. Nowak, A. Yochelis, A. Garfinkel, and K. I. Bostrom (2007)
J. Biol. Chem. 282, 30131-30142
   Abstract »    Full Text »    PDF »

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