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th  - 1988 - 51st ENC Conference

th  - 1988 - 51st ENC Conference

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TUE 11:40<br />

FUN WITH GENES: Ray Freeman, Cambridge University,<br />

] Cambridge CB2 IEP, England.<br />

If you are bored by endlessly searching For minlma in multidimensional<br />

hyperspace, why not try a new approach to <strong>th</strong>e design of NMR pulse sequences?<br />

Now it is <strong>th</strong>e scientist who makes all <strong>th</strong>e important decisions while <strong>th</strong>e<br />

computer merely calculates some figure of merit - for example a frequency-domain<br />

response function. The idea is not to optimlse an experiment but to discover<br />

new ones. Suppose we are interested in shaped selective radiofrequency pulses~<br />

we might multiply a Gaussian by a sinc function or a polynomial and truncate<br />

<strong>th</strong>e tails. Each contribution to <strong>th</strong>e overall shape is assigned a "gene", a<br />

numerical value which can be incremented or decremented to represent a<br />

"mutation". fhe computer evaluates <strong>th</strong>e frequency-domain excitation spectrum<br />

and displays it on an oscilloscope screen, toge<strong>th</strong>er wi<strong>th</strong> its eight "offspring"<br />

obtained by changing one or two genes. If some "desirable" trend can be<br />

recognized, <strong>th</strong>e operator selects <strong>th</strong>at pattern as <strong>th</strong>e parent for <strong>th</strong>e next<br />

generation; if not he chooses arbitrarily or even recklessly, it doesn't<br />

matter. Eventually after several generations some<strong>th</strong>ing new emerges. After<br />

all, <strong>th</strong>at is how we all originated, <strong>th</strong>rough Darwinian natural selection.<br />

Ihis "genetic evolution" technique (I-3) is very general; it has been used in<br />

aeronautical engineering and in <strong>th</strong>e automotive industry. It might just put <strong>th</strong>e<br />

fun back into our own specialized 11ttle NMR games.<br />

(I) R. Dawkins, "The Blind Watchmaker", Longman 1986.<br />

(2) I. Rechenberg, "Evolutionsstra(e~ie'~ Frommann-Holtzboog, 1973<br />

(3) R. Freeman and X.L. Wu, J. Magn. Reson., 75, 18a (1987).<br />

42

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