How Nature's Patterns Form: Mechanical and Biomechanical Processes

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How Nature's Patterns Form: Mechanical and Biomechanical Processes


ScienceDaily (Feb. 24, 2011) — When people on airplanes ask Alan Newell what he works on, he tells them "flower arrangements."

He could also say "fingerprints" or "sand ripples" or "how plants grow."

"Most patterns you see, including the ones on sand dunes or fish or tigers or leopards or in the laboratory -- even the defects in the patterns -- have many universal features," said Newell, a Regents' Professor of Mathematics at the University of Arizona.

"All these different systems exhibit strikingly similar features when it comes to the patterns they form," he said. "Patterns arise in systems when they're under some kind of stress, applied stress."

Newell talked about the universality of patterns in nature and how those patterns are created, with an emphasis on plants, on Feb. 18 at the 2011 American Association for the Advancement of Science annual meeting at the Washington Convention Center in Washington, D.C.

Newell's talk, "The Universal Nature of Fibonacci Patterns," is part of the symposium, "The Growth of Form in Mathematics, Physics and Biology," to be held in Room 147A of the Washington Convention Center.

The symposium honors the 150th anniversary of the birth of mathematical biologist D'Arcy Wentworth Thompson.

In 1917, Thompson published an extremely influential book, "On Growth and Form," in which he argued that biological forms are controlled more by the laws of physics than by evolution.

Newell agrees that many of the biological -- and non-biological -- forms in nature are the products of physical forces, rather than evolutionary ones.

In his talk, he discussed how the arrangement of flowers, bracts, florets and stickers near the growth shoots of plants -- known as phyllotaxis -- is a consequence of biochemically and mechanically induced pattern-forming instabilities.

"All the lovely patterns on plants have their origins in mechanical forces and biochemical processes," he said.

Newell and his students approach the problem of patterns in plants from a mechanistic point of view, he said.

"We look at the phenomenon we're interested in, and we learn about it, we read about it, we find out what other people say about it, and we look at the experimental evidence," he said. "Then we try to capture what we see using mathematical models."

Patterns arise when the symmetry of a system is broken, Newell said. The similarity in patterns from system to system occur when the systems have similar symmetry, rather than because the systems are made from the same materials.

"The mathematics elegantly captures the fact that pattern structure depends more on shared geometrical symmetries than material properties, because the simplified equations for all these very different situations turn out to be the same," he said.

Newell said, "Mathematics is like a good poem, which separates the superfluous from the essentials and fuses the essentials into a kernel of truth."


"Experiments are the only means of knowledge at our disposal. The rest is poetry, imagination." Max Planck

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Does this apply to animals

Does this apply to animals as well when they say systems

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ymalmsteen887 wrote:Does

ymalmsteen887 wrote:

Does this apply to animals as well when they say systems


Animals are systems, they just happen to be living systems.  A system is a system is a system.  Anytime you examine a process, you select which parts you are going to pay attention to.  If your faucet is leaking, you don't check your car.  Animals - any living organism, bacteria, fungus - are a system in and of themselves and they are a part of a system such as the surrounding environment. 

A system is defined as having inputs, some sort of process, and outputs.  Food goes in, is converted to whatever chemicals / energy the organism requires (it processes the food) and waste goes out.  Therefore, any living organism is a system.

My bachelor's degree - Systems Engineering.


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These pattern generating

These pattern generating mechanisms are what allow living systems to have structures and patterns, like fur, spots, stripes, etc, without requiring that the position and size of each hair, spot, or stripe be individually genetically determined.

What is genetically defined is the mechanism that generates the patterns, and the basic parameters such as average size, density, distribution, etc of the pattern.

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