Abstract
The spontaneous generation of an entire organism from a single cell is the epitome of a self-organizing, decentralized complex system. How do nonspatial gene interactions extend in 3-D space? In this work, I present a simple model that simulates some biological developmental principles using an expanding lattice of cells. Each cell contains a gene regulatory network (GRN), modeled as a feedforward hierarchy of switches that can settle in various on/off expression states. Local morphogen gradients provide positional information in input, which is integrated by each GRN to produce differential expression of identity genes in output. Similarly to striping in the Drosophila embryo, the lattice becomes segmented into spatial regions of homogeneous genetic expression that resemble stained-glass motifs. Meanwhile, it also expands by cell proliferation, creating new local gradients of positional information within former single-identity regions. Analogous to a “growing canvas” painting itself, the alternation of growth and patterning results in the creation of a form. This preliminary study attempts to reproduce pattern formation through a multiscale, recursive and modular process. It explores the elusive relationship between nonspatial GRN weights (genotype) and spatial patterns (phenotype). Abstracting from biology in the same spirit as neural networks or swarm optimization, I hope to be contributing to a novel engineering paradigm of system construction that could complement or replace omniscient architects with decentralized collectivities of agents.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Bibliography
Carroll, S. B., Grenier, J. K., & Weatherbee, S. D., 2001, From DNA to Diversity, Blackwell Scientific (Maiden, MA).
Coen, E., 2000, The Art of Genes, Oxford University Press.
Edelman, G. M., 1988, Topobiology, Basic Books.
Braha, D., Bar-Yam, Y., & Minai, A. A. (ed.), 2006, Complex Engineered Systems: Science Meets Technology, Springer Verlag.
Mjolsness, E., Sharp D. H., & Reinitz, J., 1991, A connectionist model of development, Journal of Theoretical Biology, 152: 429–453.
Nagpal, R., 2002, Programmable self-assembly using biologically-inspired multi-agent control, 1st Int Conf on Auton Agents, July 15–19, Bologna, Italy.
Salazar-Ciudad, I., Garcia-Fernández, J., & Solé, R., 2000, Gene networks capable of pattern formation, Journal of Theoretical Biology, 205: 587–603.
Schlosser, G., & Wagner, G. P. (ed.), 2004, Modularity in Development and Evolution, The University of Chicago Press.
von Dassow, G., Meir, E., Munro, E. M., & Odell, G. M., 2000, The segment polarity network is a robust developmental module, Nature, 406: 188–192.
Wolpert, L., 1969, Positional information and the spatial pattern of cellular differentiation development, Journal of Theoretical Biology, 25: 1–47.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer
About this paper
Cite this paper
Doursat, R. (2010). The Growing Canvas of Biological Development: Multiscale Pattern Generation on an Expanding Lattice of Gene Regulatory Nets. In: Minai, A., Braha, D., Bar-Yam, Y. (eds) Unifying Themes in Complex Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85081-6_26
Download citation
DOI: https://doi.org/10.1007/978-3-540-85081-6_26
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-85080-9
Online ISBN: 978-3-540-85081-6
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)