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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

SIMPLE BUT NONLINEAR. “But despite the irregularity in the values of successive points, the relationship between one point and the next is always very simple, though nonlinear.” https://lnkd.in/d9T6yEgv View in LinkedIn

THE FORMULA. “When the data in Fig. 1 are plotted in this manner, known as a Poincare plot, a very simple relationship becomes apparent (Fig.2). In this example, the relationship is simply the curve described by the equation for a parabola: " "Xn = aXnI (1 -Xn-l) (Equation 1).” https://lnkd.in/d9T6yEgv View in LinkedIn

PHYSIOLOGIC CHAOS. “Any clinical state in which a key physiological parameter, e.g., blood pressure, hormone levels, immunological responses, etc., is shown to be chaotic is potentially amenable to control by introducing small, critically timed perturbations based on this technique.” https://lnkd.in/d9T6yEgv View in LinkedIn