What is the historical background of the recent "Fractal Frenzy" in Personalized Medicine?
It is all about Geometry of Nature. Geos, the Universe, the Brain ... and the DNA.
Actually, it is at least a 2500 year long, steady story, with only the last 200 years accelerating. Even the last chapters only became "hurried" under extraordinary pressures; going for nuclear energy, computational ballistics, information geometry for intelligence, control of fighter jets by neural nets - or recently...Personalized Medicine
1831-1889
duBois Reymond blows open the field by proving continuous nondifferentiable function constructed by Weierstrass
1845-1918
Cantor set theory - an early predecessor of self-similarity theories - a core notion to later "fractals"
1868-1942
Hausdorff-dimension gave quantitative measure of non-integer dimension.
1875-1941
Lebesgue contributes with the "Lebesgue measure"
1902-1950
Zipf, with "Zipf's law" lays the rules of repetition
1975-1977
Fractal Geometry of Nature
Benoit Mandelbrot's classic book, coining the term "fractal", establishing fractal art, and hinting that neurons might be fractal-like
Topology and geometry of fractals
An excellent mathematical perspective on applications of fractals by Michael Barnsley
www.fractal.org
Jules Ruis' amazingly comprehensive "hub" of fractals
Thomas Marsh and Jan Hubicka
Great art gallery, 2D and 3D, animations
Fractal data compression
Michael Barnsley: on hitherto the far most useful application of fractal geometry
A slew of "classic fractal leaders" - together
Peitgen's beautiful collection of fractal art from leaders of fractals
Vicsek fractals
Fractal Growth
Complex adaptive systems.
A fantastic collection or classic fractal books, Chaos, Fractals, Nanotechnology, Fractal art
Fractal Links
A very comprehensive collection of fractal links - Persons and Institutions