Fingers and Toes are Turing Mechanisms
Posted: Tue Aug 19, 2014 9:22 pm
A blurb of the paper may be found here at Science Daily. Other sources, including the study's original publication in ScienceMag, are provided in the article.
Even I did not know that Turning worked on some biological formation problems in addition to his computer science and cryptology work.
The idea of starting from a homogenous solution and having it spontaneously form stripes is found in chaos theory; it also explains Jupiter's striped appearance as well as the Red Spot. Systems which have gone into "chaos" will still exhibit regular patterns from time to time; in fact, there is a very important theorem from chaos/dynamic systems which states "a 3-period implies chaos"; in other words, if a system governed by an equation (or set of equations, which I will condense into only one) where f(a) = b, f(b) = c, and f(c) = a then the system is actually "chaotic". There is more to it than that but that is the general premise.
Anyway...the important part is about the potential for future medical procedures of growing new organs from a person's stem cells. Couple that with the procedure developed in Japan of converting erythrocytes (red blood cells) into stem cells means that tissue rejection from organ replacements will be a thing of the past.
Even I did not know that Turning worked on some biological formation problems in addition to his computer science and cryptology work.
Self-organizing systems are also still on the cutting edge of robotics, especially in the area of building really simple robots which, when a large group of them get together, can perform highly complex tasks or build complicated structures.His contribution to mathematical biology is less famous, but was no less profound. He published just one paper (1952), but it triggered a whole new field of mathematical enquiry into pattern formation. He discovered that a system with just 2 molecules could, at least in theory, create spotty or stripy patterns if they diffused and chemically interacted in just the right way.
His mathematical equations showed that starting from uniform condition (ie. a homogeneous distribution -- no pattern) they could spontaneously self-organise their concentrations into a repetitive spatial pattern. This theory has come to be accepted as an explanation of fairly simple patterns such as zebra stripes and even the ridges on sand dunes, but in embryology it has been resisted for decades as an explanation of how structures such as fingers are formed.
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This result answers a long-standing question in the field, but it has consequences that go beyond the development of fingers. It addresses a more general debate about how the millions of cells in our bodies are able to dynamically arrange themselves into the correct 3D structures, for example in our kidneys, hearts and other organs. It challenges the dominance of an important traditional idea called positional information, proposed by Lewis Wolpert which states that cells know what to do because they all receive information about their "coordinates" in space (a bit like longitude and latitude on a world map). Today's publication highlights instead that local self-organising mechanisms may be much more important in organogenesis than previously thought.
The idea of starting from a homogenous solution and having it spontaneously form stripes is found in chaos theory; it also explains Jupiter's striped appearance as well as the Red Spot. Systems which have gone into "chaos" will still exhibit regular patterns from time to time; in fact, there is a very important theorem from chaos/dynamic systems which states "a 3-period implies chaos"; in other words, if a system governed by an equation (or set of equations, which I will condense into only one) where f(a) = b, f(b) = c, and f(c) = a then the system is actually "chaotic". There is more to it than that but that is the general premise.
Anyway...the important part is about the potential for future medical procedures of growing new organs from a person's stem cells. Couple that with the procedure developed in Japan of converting erythrocytes (red blood cells) into stem cells means that tissue rejection from organ replacements will be a thing of the past.