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 Later papers went unpublished until 1992 when Collected Works of A.M. Turing was published.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:
“Our national experience in Americanizing millions of Europeans whose chief wish was to become Americans has been a heady wine which has made us believe, as perhaps no nation before us has ever believed, that, given the slimmest chance, all peoples will pattern themselves upon our model.”
—Ruth Benedict (18871948)
“I want you to consider this distinction as you go forward in life. Being male is not enough; being a man is a right to be earned and an honor to be cherished. I cannot tell you how to earn that right or deserve that honor. . . but I can tell you that the formation of your manhood must be a conscious act governed by the highest vision of the man you want to be.”
—Kent Nerburn (20th century)
“The circumstances of human society are too complicated to be submitted to the rigour of mathematical calculation.”
—Marquis De Custine (17901857)
“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 (182595)