Pattern Formation and Mathematical Biology
Turing worked from 1952 until his death in 1954 on mathematical biology, specifically morphogenesis. He published one paper on the subject called The Chemical Basis of Morphogenesis in 1952, putting forth the Turing hypothesis of pattern formation. His central interest in the field was understanding Fibonacci phyllotaxis, the existence of Fibonacci numbers in plant structures. He used reaction–diffusion equations which are central to the field of pattern formation. Later papers went unpublished until 1992 when Collected Works of A.M. Turing was published. His contribution is considered a seminal piece of work in this field.
Read more about this topic: Alan Turing
Famous quotes containing the words pattern, formation, mathematical and/or biology:
“It was her stern necessity: all things
Are of one pattern made; bird, beast, and flower,
Deceive us, seeming to be many things,
And are but one. Beheld far off, they differ
As God and devil; bring them to the mind,
They dull its edge with their monotony.”
—Ralph Waldo Emerson (1803–1882)
“... the mass migrations now habitual in our nation are disastrous to the family and to the formation of individual character. It is impossible to create a stable society if something like a third of our people are constantly moving about. We cannot grow fine human beings, any more than we can grow fine trees, if they are constantly torn up by the roots and transplanted ...”
—Agnes E. Meyer (1887–1970)
“It is by a mathematical point only that we are wise, as the sailor or the fugitive slave keeps the polestar in his eye; but that is sufficient guidance for all our life. We may not arrive at our port within a calculable period, but we would preserve the true course.”
—Henry David Thoreau (1817–1862)
“Nothing can be more incorrect than the assumption one sometimes meets with, that physics has one method, chemistry another, and biology a third.”
—Thomas Henry Huxley (1825–95)