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Abstract
This research illustrates that complex dynamics of gene products enable the creation of any prescribed cellular differentiation patterns. These complex dynamics can take the form of chaotic, stochastic, or noisy chaotic dynamics. Based on this outcome and previous research, it is established that a generic open chemical reactor can generate an exceptionally large number of different cellular patterns. The mechanism of pattern generation is robust under perturbations and it is based on a combination of Turing’s machines, Turing instability and L. Wolpert’s gradients. These results can help us to explain the formidable adaptive capacities of biochemical systems.
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Details
1 University of Chicago, Departments of Statistics, Ecology and Evolution, Molecular Genetics and Cell Biology, Chicago, USA (GRID:grid.170205.1) (ISNI:0000 0004 1936 7822)
2 Russian Academy of Sciences, Institute for Problems in Mechanical Engineering, Saint Petersburg, Russia (GRID:grid.4886.2) (ISNI:0000 0001 2192 9124); Saint Petersburg Electrotechnical University, Saint Petersburg, Russia (GRID:grid.9905.5) (ISNI:0000 0001 0616 2244)
3 The Open University, School of Mathematics and Statistics, Milton Keynes, UK (GRID:grid.10837.3d) (ISNI:0000 0000 9606 9301)
4 Université de Lille, CNRS, Mathématiques, Villeneuve d’Ascq, France (GRID:grid.464109.e) (ISNI:0000 0004 0638 7509)