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Page 1: Pattern Formation - hu-berlin.derocs.hu-berlin.de/complex_sys_2015/resources/Lectures/Lecture-12.pdf · ALGORITHMIC BEAUTY OF SEA SHELLS FOURTH EDITION Springer Material . Positive
Page 2: Pattern Formation - hu-berlin.derocs.hu-berlin.de/complex_sys_2015/resources/Lectures/Lecture-12.pdf · ALGORITHMIC BEAUTY OF SEA SHELLS FOURTH EDITION Springer Material . Positive

pattern formation

Page 3: Pattern Formation - hu-berlin.derocs.hu-berlin.de/complex_sys_2015/resources/Lectures/Lecture-12.pdf · ALGORITHMIC BEAUTY OF SEA SHELLS FOURTH EDITION Springer Material . Positive
Page 4: Pattern Formation - hu-berlin.derocs.hu-berlin.de/complex_sys_2015/resources/Lectures/Lecture-12.pdf · ALGORITHMIC BEAUTY OF SEA SHELLS FOURTH EDITION Springer Material . Positive

from a homogeneous state to structure

Page 5: Pattern Formation - hu-berlin.derocs.hu-berlin.de/complex_sys_2015/resources/Lectures/Lecture-12.pdf · ALGORITHMIC BEAUTY OF SEA SHELLS FOURTH EDITION Springer Material . Positive
Page 6: Pattern Formation - hu-berlin.derocs.hu-berlin.de/complex_sys_2015/resources/Lectures/Lecture-12.pdf · ALGORITHMIC BEAUTY OF SEA SHELLS FOURTH EDITION Springer Material . Positive

morning glory

regular spatial patterns

Page 7: Pattern Formation - hu-berlin.derocs.hu-berlin.de/complex_sys_2015/resources/Lectures/Lecture-12.pdf · ALGORITHMIC BEAUTY OF SEA SHELLS FOURTH EDITION Springer Material . Positive

fractal patterns

Page 8: Pattern Formation - hu-berlin.derocs.hu-berlin.de/complex_sys_2015/resources/Lectures/Lecture-12.pdf · ALGORITHMIC BEAUTY OF SEA SHELLS FOURTH EDITION Springer Material . Positive

Benard Convection

Page 9: Pattern Formation - hu-berlin.derocs.hu-berlin.de/complex_sys_2015/resources/Lectures/Lecture-12.pdf · ALGORITHMIC BEAUTY OF SEA SHELLS FOURTH EDITION Springer Material . Positive
Page 10: Pattern Formation - hu-berlin.derocs.hu-berlin.de/complex_sys_2015/resources/Lectures/Lecture-12.pdf · ALGORITHMIC BEAUTY OF SEA SHELLS FOURTH EDITION Springer Material . Positive

BZ reaction

Page 11: Pattern Formation - hu-berlin.derocs.hu-berlin.de/complex_sys_2015/resources/Lectures/Lecture-12.pdf · ALGORITHMIC BEAUTY OF SEA SHELLS FOURTH EDITION Springer Material . Positive
Page 12: Pattern Formation - hu-berlin.derocs.hu-berlin.de/complex_sys_2015/resources/Lectures/Lecture-12.pdf · ALGORITHMIC BEAUTY OF SEA SHELLS FOURTH EDITION Springer Material . Positive
Page 13: Pattern Formation - hu-berlin.derocs.hu-berlin.de/complex_sys_2015/resources/Lectures/Lecture-12.pdf · ALGORITHMIC BEAUTY OF SEA SHELLS FOURTH EDITION Springer Material . Positive
Page 14: Pattern Formation - hu-berlin.derocs.hu-berlin.de/complex_sys_2015/resources/Lectures/Lecture-12.pdf · ALGORITHMIC BEAUTY OF SEA SHELLS FOURTH EDITION Springer Material . Positive
Page 15: Pattern Formation - hu-berlin.derocs.hu-berlin.de/complex_sys_2015/resources/Lectures/Lecture-12.pdf · ALGORITHMIC BEAUTY OF SEA SHELLS FOURTH EDITION Springer Material . Positive
Page 16: Pattern Formation - hu-berlin.derocs.hu-berlin.de/complex_sys_2015/resources/Lectures/Lecture-12.pdf · ALGORITHMIC BEAUTY OF SEA SHELLS FOURTH EDITION Springer Material . Positive
Page 17: Pattern Formation - hu-berlin.derocs.hu-berlin.de/complex_sys_2015/resources/Lectures/Lecture-12.pdf · ALGORITHMIC BEAUTY OF SEA SHELLS FOURTH EDITION Springer Material . Positive

Orientation maps in the visual cortex

Page 18: Pattern Formation - hu-berlin.derocs.hu-berlin.de/complex_sys_2015/resources/Lectures/Lecture-12.pdf · ALGORITHMIC BEAUTY OF SEA SHELLS FOURTH EDITION Springer Material . Positive
Page 19: Pattern Formation - hu-berlin.derocs.hu-berlin.de/complex_sys_2015/resources/Lectures/Lecture-12.pdf · ALGORITHMIC BEAUTY OF SEA SHELLS FOURTH EDITION Springer Material . Positive
Page 20: Pattern Formation - hu-berlin.derocs.hu-berlin.de/complex_sys_2015/resources/Lectures/Lecture-12.pdf · ALGORITHMIC BEAUTY OF SEA SHELLS FOURTH EDITION Springer Material . Positive
Page 21: Pattern Formation - hu-berlin.derocs.hu-berlin.de/complex_sys_2015/resources/Lectures/Lecture-12.pdf · ALGORITHMIC BEAUTY OF SEA SHELLS FOURTH EDITION Springer Material . Positive
Page 22: Pattern Formation - hu-berlin.derocs.hu-berlin.de/complex_sys_2015/resources/Lectures/Lecture-12.pdf · ALGORITHMIC BEAUTY OF SEA SHELLS FOURTH EDITION Springer Material . Positive
Page 23: Pattern Formation - hu-berlin.derocs.hu-berlin.de/complex_sys_2015/resources/Lectures/Lecture-12.pdf · ALGORITHMIC BEAUTY OF SEA SHELLS FOURTH EDITION Springer Material . Positive
Page 24: Pattern Formation - hu-berlin.derocs.hu-berlin.de/complex_sys_2015/resources/Lectures/Lecture-12.pdf · ALGORITHMIC BEAUTY OF SEA SHELLS FOURTH EDITION Springer Material . Positive
Page 25: Pattern Formation - hu-berlin.derocs.hu-berlin.de/complex_sys_2015/resources/Lectures/Lecture-12.pdf · ALGORITHMIC BEAUTY OF SEA SHELLS FOURTH EDITION Springer Material . Positive
Page 26: Pattern Formation - hu-berlin.derocs.hu-berlin.de/complex_sys_2015/resources/Lectures/Lecture-12.pdf · ALGORITHMIC BEAUTY OF SEA SHELLS FOURTH EDITION Springer Material . Positive
Page 27: Pattern Formation - hu-berlin.derocs.hu-berlin.de/complex_sys_2015/resources/Lectures/Lecture-12.pdf · ALGORITHMIC BEAUTY OF SEA SHELLS FOURTH EDITION Springer Material . Positive

In toto embryogenesis

Imaging setup:• Stacks: 4x200 planes, spacing 1um• Imaging time for 4 views: <10seconds• Repeated every 30seconds• Total imaging time: 20hrs• Total amount of data: 8TB• 4 of 4 embryos hatched as larvae

speed: about 50-200x fasterlight exposure: reduction of 180um/2um = 90det. efficiency: between 60-95% with up to 16bit

Confocal comparison

Page 28: Pattern Formation - hu-berlin.derocs.hu-berlin.de/complex_sys_2015/resources/Lectures/Lecture-12.pdf · ALGORITHMIC BEAUTY OF SEA SHELLS FOURTH EDITION Springer Material . Positive
Page 29: Pattern Formation - hu-berlin.derocs.hu-berlin.de/complex_sys_2015/resources/Lectures/Lecture-12.pdf · ALGORITHMIC BEAUTY OF SEA SHELLS FOURTH EDITION Springer Material . Positive

Hox Genes Regulate Digit Patterning by Controlling the Wavelength of a Turing-Type MechanismRushikesh Sheth, Luciano Marcon, M. Félix Bastida, Marisa Junco, Laura Quintana, Randall Dahn, Marie Kmita, James Sharpe, and Maria A. RosScience 14 December 2012: 1476-1480.

Page 30: Pattern Formation - hu-berlin.derocs.hu-berlin.de/complex_sys_2015/resources/Lectures/Lecture-12.pdf · ALGORITHMIC BEAUTY OF SEA SHELLS FOURTH EDITION Springer Material . Positive

nutrient

motility

Page 31: Pattern Formation - hu-berlin.derocs.hu-berlin.de/complex_sys_2015/resources/Lectures/Lecture-12.pdf · ALGORITHMIC BEAUTY OF SEA SHELLS FOURTH EDITION Springer Material . Positive

1912 – 1954

Page 32: Pattern Formation - hu-berlin.derocs.hu-berlin.de/complex_sys_2015/resources/Lectures/Lecture-12.pdf · ALGORITHMIC BEAUTY OF SEA SHELLS FOURTH EDITION Springer Material . Positive
Page 33: Pattern Formation - hu-berlin.derocs.hu-berlin.de/complex_sys_2015/resources/Lectures/Lecture-12.pdf · ALGORITHMIC BEAUTY OF SEA SHELLS FOURTH EDITION Springer Material . Positive

activation inhibition

diffusion

the mechanism

Page 34: Pattern Formation - hu-berlin.derocs.hu-berlin.de/complex_sys_2015/resources/Lectures/Lecture-12.pdf · ALGORITHMIC BEAUTY OF SEA SHELLS FOURTH EDITION Springer Material . Positive

mechanisms

• local excitation global inhibition

• diffusion of a bistable system

• Turing mechanism

Page 35: Pattern Formation - hu-berlin.derocs.hu-berlin.de/complex_sys_2015/resources/Lectures/Lecture-12.pdf · ALGORITHMIC BEAUTY OF SEA SHELLS FOURTH EDITION Springer Material . Positive

mechanisms

Page 36: Pattern Formation - hu-berlin.derocs.hu-berlin.de/complex_sys_2015/resources/Lectures/Lecture-12.pdf · ALGORITHMIC BEAUTY OF SEA SHELLS FOURTH EDITION Springer Material . Positive

two state models

Page 37: Pattern Formation - hu-berlin.derocs.hu-berlin.de/complex_sys_2015/resources/Lectures/Lecture-12.pdf · ALGORITHMIC BEAUTY OF SEA SHELLS FOURTH EDITION Springer Material . Positive

continuous states

Page 38: Pattern Formation - hu-berlin.derocs.hu-berlin.de/complex_sys_2015/resources/Lectures/Lecture-12.pdf · ALGORITHMIC BEAUTY OF SEA SHELLS FOURTH EDITION Springer Material . Positive

local excitation global inhibition

Page 39: Pattern Formation - hu-berlin.derocs.hu-berlin.de/complex_sys_2015/resources/Lectures/Lecture-12.pdf · ALGORITHMIC BEAUTY OF SEA SHELLS FOURTH EDITION Springer Material . Positive

diffusion driven mechanisms

Page 40: Pattern Formation - hu-berlin.derocs.hu-berlin.de/complex_sys_2015/resources/Lectures/Lecture-12.pdf · ALGORITHMIC BEAUTY OF SEA SHELLS FOURTH EDITION Springer Material . Positive

programming

Page 41: Pattern Formation - hu-berlin.derocs.hu-berlin.de/complex_sys_2015/resources/Lectures/Lecture-12.pdf · ALGORITHMIC BEAUTY OF SEA SHELLS FOURTH EDITION Springer Material . Positive

diffusion driven mechanisms