The chemical basis of morphogenesis

@article{Turing1952TheCB,
  title={The chemical basis of morphogenesis},
  author={A. Turing},
  journal={Bulletin of Mathematical Biology},
  year={1952},
  volume={52},
  pages={153-197}
}
  • A. Turing
  • Published 14 August 1952
  • Environmental Science
  • Bulletin of Mathematical Biology
It is suggested that a system of chemical substances, called morphogens, reacting together and diffusing through a tissue, is adequate to account for the main phenomena of morphogenesis. Such a system, although it may originally be quite homogeneous, may later develop a pattern or structure due to an instability of the homogeneous equilibrium, which is triggered off by random disturbances. Such reaction-diffusion systems are considered in some detail in the case of an isolated ring of cells, a… 

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References

SHOWING 1-10 OF 105 REFERENCES
Some Calculations of the Riemann Zeta-Function
TLDR
The Manchester University Mark 1 Electronic Computer was used to do some calculations concerned with the distribution of the zeros of the Riemann zeta-function, intended in fact to determine whether there are any zeros not on the critical line in certain particular intervals.
The chemical basis of morphogenesis reprinted from Philosophical Transactions of the Royal Society ( Part B ) 237 37-72 ( 1953 ) Universal Turing Machine
TLDR
This research presents a classical tool for analyzing e-business (AIL), which is used to disconfirm that telephony and scatter/gather I/O can interfere to accomplish this intent.
Practical Forms of Type Theory
TLDR
The present paper is an attempt to present the theory of types in forms in which the types themselves only play a rather small part, as they do in ordinary mathematical argument.
ROUNDING-OFF ERRORS IN MATRIX PROCESSES
A number of methods of solving sets of linear equations and inverting matrices are discussed. The theory of the rounding-off errors involved is investigated for some of the methods. In all cases
Can Digital Computers Think?; Reprinted in (copeland 2004)
TLDR
It is examined how robots can be applied to the investigation of Moore's Law that made enabling and possibly visualizing write-back caches a possibility.
Programmers ’ handbook for Manchester electronic computer Universal Turing Machine
  • Computer Science
TLDR
After years of confirmed research into Internet QoS, the evaluation of XML is validated, which embodies the confirmed principles of theory and confirms that web browsers can be made interposable, mobile, and ubiquitous.
Collected Works : Mathematical Logic ( RO Gandy and CEM Yates
  • Computer Science
TLDR
TEENS, the new heuris-tic for scalable theory, is the solution to all of these grand challenges of scalable theory.
THE WORD PROBLEM IN SEMI-GROUPS WITH CANCELLATION
It will be shown that the word problem in semi-groups with cancellation is not solvable. The method depends on reducing the unsolvability of the problem in question to a known unsolvable problem
PERMEABILITY OF NATURAL MEMBRANES
...
...