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10 - Walking the Tightrope: The Dilemma of Hierarchical Instabilities in Turing's Morphogenesis

from Part Three - The Reverse Engineering Road to Computing Life

Published online by Cambridge University Press:  05 March 2016

Richard Gordon
Affiliation:
Wayne State University, Detroit MI 48201, USA
S. Barry Cooper
Affiliation:
University of Leeds
Andrew Hodges
Affiliation:
University of Oxford
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Summary

Dedicated to Bashir Ahmad and a bright future for physics in his Afghanistan.

Ever since we understood that living organisms are made of fundamentally the same stuff as the rest of the universe, we have been puzzling about what makes life different, and how that difference arose. Alan Turing made a major contribution in putting forth a model for morphogenesis that attempts to bridge the gap between the molecules we are made of and how we look. This is a huge gap to span in trying to solve the problem of how an embryo builds itself. People are about 1.5m = 1.5×109nm (nanometers) tall and the typical protein molecule is about 30 nm wide, a ratio of 50 000 000 = 5 × 107 to 1. That protein might contain 1000 amino acids and, if we take into account the relative volumes, not just length, say 70 liters for an adult human and 0.15nm3 for an amino acid (Sühnel and Hühne, 2005), this raises the ratio to 5×1026 to 1.

When we build a bridge, unless it's over a small ditch, we use many parts and assemble them in sections called spans (Figure 10.1). In biology this has come to be known as ‘modularity’, and the grand search has been on to discover just what the modules of life are (von Dassow and Munro, 1999; Gilbert and Bolker, 2001; Redies and Puelles, 2001; Newman and Bhat, 2009; Peter and Davidson, 2009; Christensen et al., 2010). At first it was thought that cells represented modules. The ‘cell theory’ was resisted by a minority of 19th century biologists, who thought that the basic module was the whole organism, not the cell. Certain observations support this ‘organismal’ theory. First, single cell organisms, such as Parameciumand diatoms (Figure 10.2), can have quite complex morphologies; see Gordon (2010); Tiffany et al. (2010); Gordon and Tiffany (2011). Second, some green algae have many nuclei that move in cytoplasmic streaming, unhindered by cell boundaries, yet “… exhibit morphological differentiation into structures that resemble the roots, stems, and leaves of land plants and even have similar functions” (Chisholm et al., 1996); see Cocquyt et al., 2010.

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The Once and Future Turing
Computing the World
, pp. 144 - 159
Publisher: Cambridge University Press
Print publication year: 2016

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References

Alicea, B., McGrew, S., Gordon, R., Larson, S., Warrington, T. and Watts, M. (2014). DevoWorm: differentiation waves and computation in C. elegans embryogenesis. Available at http://www.biorxiv.org/content/early/2014/10/03/00999 [Accessed March 26, 2015].
Bard, J.B.L., Baldock, R.A. and Davidson, D.R. (1998a). Elucidating the genetic networks of development: a bioinformatics approach.Genome Res., 8 (9), 859–63.Google Scholar
Bard, J.B.L., Kaufman, M.H., Dubreuil, C., Brune, R.M., Burger, A., Baldock, R.A. and Davidson, D.R. (1998b). An internet-accessible database of mouse developmental anatomy based on a systematic nomenclature. Mech. Dev., 74 (1/2), 111–20.Google Scholar
Beloussov, L.V. and Gordon, R. (2006). Preface. Morphodynamics: Bridging the gap between the genome and embryo physics. Int. J. Dev. Biol., 50 (2/3), 79–80.Google Scholar
Björklund, N.K. and Gordon, R. (1994). Surface contraction and expansion waves correlated with differentiation in axolotl embryos. I. Prolegomenon and differentiation during the plunge through the blastopore, as shown by the fate map. Computers & Chemistry, 18 (3), 333–45.Google Scholar
Blanchard, P. and Hongler, M.-O. (2002). How many blocks can children pile up? Some analytical results. J. Phys. Soc. Japan, 71 (1), 9–11.Google Scholar
Brodland, G.W., Gordon, R., Scott, M.J., Björklund, N.K., Luchka, K.B., Martin, C.C., Matuga, C., Globus, M., Vethamany-Globus, S. and Shu, D. (1994). Furrowing surface contraction wave coincident with primary neural induction in amphibian embryos. J. Morphol., 219 (2), 131–42.Google Scholar
Bulić-Jakuš, F., Ulamec, M., Vlahović, M., Sinčić, N., Katušić, A., Jurić-Lekić, G., Šerman, L., Krušlin, B. and Belicza, M. (2006). Of mice and men: teratomas and teratocarcinomas. Collegium Antropologicum, 30 (4), 921–4.Google Scholar
Chisholm, J.R.M., Dauga, C., Ageron, E., Grimont, P.A.D. and Jaubert, J.M. (1996). ‘Roots’ in mixotrophic algae. Nature, 381 (6581); erratum, 382 (6583) 565.Google Scholar
Christensen, D.J., Campbell, J. and Stoy, K. (2010). Anatomy-based organization of morphology and control in self-reconfigurable modular robots. Neural Comput. Appl., 19 (6), 787–805.Google Scholar
Cobb, M. (2006). Generation: The Seventeenth-Century Scientists Who Unraveled the Secrets of Sex, Life, and Growth. Bloomsbury.
Cocquyt, E., Verbruggen, H., Leliaert, F. and De Clerck, O. (2010). Evolution and cytological diversification of the green seaweeds (Ulvophyceae). Mol. Biol. Evol., 27 (9), 2052–61.Google Scholar
Crampin, E.J., Gaffney, E.A. and Maini, P.K. (1999). Reaction and diffusion on growing domains: scenarios for robust pattern formation. Bull. Math. Biol., 61 (6), 1093–120.Google Scholar
Damer, B., Newman, P., Norkus, R., Gordon, R. and Barbalet, T. (2012). Cyberbiogenesis and the EvoGrid: a twenty-first century grand challenge. In Genesis – In the Beginning: Precursors of Life, Chemical Models and Early Biological Evolution.J., Seckbach (ed.). Springer, pp. 267–88.
Dennett, D.C. (1995). Darwin's Dangerous Idea: Evolution and the Meanings of Life. Simon & Schuster.
Evsikov, S.V., Morozova, L.M. and Solomko, A.P. (1994). Role of ooplasmic segregation in mammalian development. Roux's Arch. Dev. Biol., 203, 199–204.Google Scholar
Fankhauser, G. (1941). Cell size, organ and body size in triploid newts(Triturus viridescens). J. Morphol., 68, 161–77.Google Scholar
Fankhauser, G., Vernon, J.A., Frank, W.H. and Slack, W.V. (1955). Effect of size and number of brain cells on learning in larvae of the salamander, Triturus viridescens. Science, 122 (3172), 692–3.Google Scholar
Fleury, V. and Gordon, R. (2012). Coupling of growth, differentiation and morphogenesis: an integrated approach to design in embryogenesis. In Origin(s) of Design in Nature: A Fresh, Interdisciplinary Look at How Design Emerges in Complex Systems, Especially Life.L., Swan, R., Gordon and J., Seckbach (eds.). Springer, pp. 385–428.
Gilbert, S.F. and Bolker, J.A. (2001). Homologies of process and modular elements of embryonic construction. J. Exp. Zool., 291 (1), 1–12.Google Scholar
Gilbert, S.F. and Epel, D. (2009). Ecological Developmental Biology: Integrating Epigenetics, Medicine, and Evolution. Sinauer Associates.
Gordon, N.K. and Gordon, R. (2015). Embryogenesis Explained. World Scientific.
Gordon, R. (1966). On stochastic growth and form. Proc. Natl. Acad. Sci. USA, 56 (5), 1497–504.Google Scholar
Gordon, R. (1999). The Hierarchical Genome and Differentiation Waves: Novel Unification of Development, Genetics and Evolution. World Scientific and Imperial College Press.
Gordon, R. (2006). Mechanics in embryogenesis and embryonics: prime mover or epiphenomenon?Int. J. Dev. Biol., 50 (2/3), 245–53.Google Scholar
Gordon, R. (2008). Hoyle's tornado origin of artificial life, a computer programming challenge. In Divine Action and Natural Selection: Science, Faith and Evolution, J., Seckbach and R., Gordon (eds.). World Scientific, pp. 354–67.
Gordon, R. (2009). Google Embryo for building quantitative understanding of an embryo as it builds itself: II. Progress toward an embryo surface microscope. Biological Theory: Integrating Development, Evolution, and Cognition, 4 (4), 396–412.Google Scholar
Gordon, R. (2010). Diatoms and nanotechnology: early history and imagined future as seen through patents. In The Diatoms: Applications for the Environmental and Earth Sciences,J.P., Smol and E.F., Stoermer (eds.). Cambridge University Press, pp. 585–602.
Gordon, R. (2011). Epilogue: the diseased breast lobe in the context of x-chromosome inactivation and differentiation waves. In breast cancer: a lobar disease,T., Tot (ed.). springer, pp. 205–10.
Gordon, R., Björklund, N.K. and Nieuwkoop, P.D. (1994). Dialogue on embryonic induction and differentiation waves. Int. Rev. Cytology, 150, 373–420.Google Scholar
Gordon, R. and Brodland, G.W. (1987). The cytoskeletal mechanics of brain morphogenesis. Cell state splitters cause primary neural induction. Cell Biophysics, 11, 177–238.Google Scholar
Gordon, R. and Hoover, R.B. (2007). Could there have been a single origin of life in a Big Bang universe? Proc. SPIE, 6694, doi:10.1117/12.737041.
Gordon, R. and Melvin, C.A. (2003). Reverse engineering the embryo: a graduate course in developmental biology for engineering students at the University of Manitoba, Canada.Int. J. Dev. Biol., 47 (2/3), 183–7.Google Scholar
Gordon, R. and Tiffany, M.A. (2011). Possible buckling phenomena in diatom morphogenesis. In The Diatom World, J., Seckbach and J.P., Kociolek (eds.)., Springer, pp. 245–72.
Gordon, R. and Westfall, J.E. (2009). Google Embryo for building quantitative understanding of an embryo as it builds itself: I. Lessons from Ganymede and Google Earth.Biological Theory: Integrating Development, Evolution, and Cognition, 4 (4), 390–5, with supplementary appendix.Google Scholar
Graham, J.H., Freeman, D.C. and Emlen, J.M. (1993). Antisymmetry, directional asymmetry, and dynamic morphogenesis.Genetica, 89 (1/3), 121–37.Google Scholar
Hellige, J.B. (1993). Hemispheric Asymmetry, What's Right and What's Left.Harvard University Press.
Hermeyer, D. and Wantman, S. (2008). Kingston–Rhinecliff bridge. Available at http://en.wikipedia.org/wiki/File:Kingston-Rhinecliff_Bridge2.JPG [Accessed July 13, 2011].
Howard, J., Grill, S.W. and Bois, J.S. (2011). Turing's next steps: the mechanochemical basis of morphogenesis.Nature Rev. Molec. Cell Biol., 12 (6), 392–8.Google Scholar
Hwang, S.Y. and Rose, L.S. (2010). Control of asymmetric cell division in early C. elegans embryogenesis: teaming-up translational repression and protein degradation.BMB Rep., 43, (2), 69–78.Google Scholar
Ishihara, S. and Kaneko, K. 2006. Turing pattern with proportion preservation.J. Theor. Biol., 238 (3), 683–93.Google Scholar
Iwasaki, S. and Honda, K. (2000). How many blocks can children pile up? – Scaling and universality for a simple play.J. Phys. Soc. Japan, 69, (6), 1579–81.Google Scholar
Jaffe, L.F. (1999). Organization of early development by calcium patterns.BioEssays, 21 (8), 657–67.Google Scholar
Lopez, D., Vlamakis, H. and Kolter, R. (2009). Generation of multiple cell types in Bacillus subtilis.FEMS Microbiol. Rev., 33 (1), 152–63.Google Scholar
Maini, P.K., Woolley, T., Gaffney, E. and Baker, R. (2015). Turing's theory of developmental pattern formation. In The Once and Future Turing – Computing the World.S., Barry Cooper and A., Hodges (eds). Cambridge University Press, pp. 137–49.
Maurer, U. (2015). Cryptography and computation after Turing. In The Once and Future Turing – Computing the World.S., Barry Cooper and A., Hodges (eds). Cambridge University Press, pp. 54–78.
Meeks, J.C., Campbell, E.L., Summers, M.L. and Wong, F.C. (2002). Cellular differentiation in the cyanobacterium Nostoc punctiforme.Arch Microbiol., 178 (6), 395–403.Google Scholar
Newman, S.A. and Bhat, R. (2009). Dynamical patterning modules: a ‘pattern language’ for development and evolution of multicellular form.Int. J. Dev. Biol., 53 (5/6), 693–705.Google Scholar
Nikas, Y. (2011). Human egg in the fallopian tube [#470]. Available at http://www. eikonika.net/v2/photo_info.php?photo_id=470 [Accessed July 25, 2011].
Parisi, J. (1991). Global symmetry aspects of a compartmentalized reaction–diffusion system.Comp. and Math. Appl., 22 (12), 23–31.Google Scholar
Peter, I.S. and Davidson, E.H. (2009). Modularity and design principles in the sea urchin embryo gene regulatory network.FEBS Lett., 583 (24), 3948–58.Google Scholar
Rayleigh, Lord (1892). On the instability of a cylinder of viscous liquid under capillary force.Phil. Mag., 34, 145–54.Google Scholar
Redies, C. and Puelles, L. (2001). Modularity in vertebrate brain development and evolution.BioEssays, 23 (12), 1100–11.Google Scholar
Reid, R.G.B. (1985). Evolutionary Theory: The Unfinished Synthesis.Croom Helm.
Rosen, R. (1968). Turing's morphogens, two-factor systems and active transport.Bull. Math. Biophys., 30 (3), 493–499.Google Scholar
Sharov, A.A. and Gordon, R. (2013). Life before Earth. Available: http://arxiv.org/ abs/1304.3381.
Sühnel, J. and Hühne, R. (2005). The Amino Acid Repository. Available at http://www. imb-jena.de/IMAGE_AA.html [Accessed July 13, 2011].
Tiffany, M.A., Gordon, R. and Gebeshuber, I.C. (2010). Hyalodiscopsis plana, a sublittoral centric marine diatom, and its potential for nanotechnology as a natural zipper-like nanoclasp.Polish Botanical J., 55 (1), 27–41.Google Scholar
Tokumitsu, N. and Honda, K. (2005). Crossover scaling in piling block games.J. Phys. Soc. Japan, 74 (6), 1873–4.Google Scholar
Tomanek, B., Hoult, D.I., Chen, X. and Gordon, R. (2000). A probe with chest shielding for improved breast MR imaging.Mag. Res. Med., 43 (6), 917–20.Google Scholar
Turing, A.M. (1952). The chemical basis of morphogenesis.Phil. Trans. Roy. Soc. London, B237, 37–72.Google Scholar
Tuszynski, J.A. and Gordon, R. (2012). A mean field Ising model for cortical rotation in amphibian one-cell stage embryos.BioSystems, 109 (3), 381–9.Google Scholar
von Dassow, G. and Munro, E. (1999). Modularity in animal development and evolution: elements of a conceptual framework for EvoDevo.J. Exp. Zool., 285 (4), 307–25.Google Scholar
Watson, R.A. (2006). Compositional Evolution: The Impact of Sex, Symbiosis, and Modularity on the Gradualist Framework of Evolution.MIT Press.
West-Eberhard, M.J. (2002). Developmental Plasticity and Evolution.Oxford University Press.
Zernicka-Goetz, M. (2011). Proclaiming fate in the early mouse embryo.Nat. Cell Biol., 13 (2), 112–14.Google Scholar

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