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MINUTIAE AMPLIFIED. “The "butterfly effect" is so-named because one can imagine that even a butterfly flapping its wings could create enough of a disturbance in the initial conditions of a chaotic weather system to cause a completely (different weather pattern to evolve over time, perhaps generating a hurricane that would not have occurred otherwise.” https://lnkd.in/d9T6yEgv View in LinkedIn

CONSEQUENCES. “When the initial value of xO was changed from 0.2000000 (solid line) to 0.2000001 (dashed line), the curves remained virtually superimposed for the first 20 iterations of eq 1, but then rapidly diverged and evolved completely different behavior. This extreme sensitivity to initial conditions, in which small differences diverge exponentially, is a feature that characterizes all chaotic systems.” https://lnkd.in/d9T6yEgv View in LinkedIn

TINY VARIANCE. “The system evolved over time in an irregular chaotic pattern. If he used a slightly different value for the initial conditions of the same equations, by changing one part in a million, the system initially behaved in a similar manner; however, after time, it started to diverge and evolved a completely different pattern.” https://lnkd.in/d9T6yEgv View in LinkedIn

LORENZ’S MODEL. “Using a relatively simple set of nonlinear differential equations to simulate atmospheric weather changes, he assigned a set of initial conditions and computed the subsequent behavior of the system.” https://lnkd.in/d9T6yEgv View in LinkedIn

INITIAL CONDITIONS. “The chaotic behavior produced by eq. 1 can be attributed to a defining feature of all chaotic systems, their extreme sensitivity to initial conditions. A famous example is the "butterfly effect," described by meteorologist Edward Lorenz.” https://lnkd.in/d9T6yEgv View in LinkedIn

LIKE EVERYTHING. “Death, like life, can evolve.” (Stanley Shostak, Associate Professor Emeritus of Biological Sciences at the University of Pittsburgh). https://lnkd.in/dcrQtEaf View in LinkedIn

The season of ridiculous abundance is drawing nigh, and the mad scramble for conserving grapes, blackberries, elderberries, figs, pomegranates, and tomatoes is starting. View in LinkedIn

SO ENDS this one weekend posting on the butterfly effect applied to physiologic chaotic phenomena that are underpinned by simple rules. Biologists have been slow to adopt this powerful concept for phenomena such as hives, swarms and population dynamics, but it is assuredly at play in these seemingly chaotic systems. https://lnkd.in/d9T6yEgv View in LinkedIn

MEMORY CODE. “Polynucleotides are synthesized at rates ranging from 10 to 100 nucleotides/s. Because there are 4 nucleotides, each successive location in a string of nucleotides can carry 2 bits of information. Thus, an n-bit polynucleotide numeron could be generated in roughly n centi-seconds. A 21-bit polynucleotide can encode slightly more than 2,000,000 biochemically distinguishable numerons.” https://lnkd.in/dkxvq7Eq View in LinkedIn

COAUTHOR Mark L. Spano “has published over 50 scientific papers and has been granted a patent for the control of chaos in cardiac tissue in addition to having a patent application pending on the control of chaos in neural tissue. “ https://lnkd.in/d2-H23j6 View in LinkedIn