Six impossible things

Six impossible things

Photo by Sangharsh Lohakare on Unsplash

Originally published 4 September 2005

I can’t remem­ber the first time I heard it said that there is an arm’s length of DNA in every cell of our bod­ies, but I am cer­tain that I blinked with dis­be­lief. How can an arm’s length of any­thing fit into a micro­scop­i­cal­ly small volume?

I heard that state­ment many times over the years — I have repeat­ed it myself — and always at the back of my mind there was a lin­ger­ing doubt: Sure­ly not possible.

Final­ly, as read­ers of Skep­tics and True Believ­ers will know, I did the math. We know from X‑ray dif­frac­tion stud­ies that a strand of DNA is 1.5 nanome­ters in radius. Assume a cylin­der 1 meter long with a radius of 1.5 nanome­ters and work out the vol­ume. A typ­i­cal ani­mal cell is about 8 microm­e­ters in radius. Assume a spher­i­cal cell and cal­cu­late the vol­ume. You will see that the arm’s length of DNA fits hand­i­ly indeed.

A love­ly illus­tra­tion of the beau­ty of math, even sim­ple grade-school geom­e­try, as an aid to the imagination!

Here’s some­thing else I once read that test­ed my creduli­ty: The amount of DNA in my body, if stretched out end to end, would reach to the Sun and back 50 times.

Again, a quick cal­cu­la­tion makes the impos­si­ble real. A meter or so of DNA in each of, oh say, ten tril­lion cells. Punch it into your cal­cu­la­tor and you are off to the Sun and back — again, and again, and again.

Here is an anal­o­gy I worked out that helps get the mind around these seem­ing impos­si­bil­i­ties: Imag­ine the human DNA as a strand of ordi­nary sewing thread.

On this scale, the DNA in the 23 pairs of chro­mo­somes in a typ­i­cal human cell would be about 150 miles long, with about 600 nucleotide pairs per inch. That is, the DNA in a sin­gle cell is equiv­a­lent to 1000 spools of sewing thread. This rep­re­sents two copies of the genet­ic code.

Take all that thread — the 1000 spools worth — and crum­ple it into 46 wads (the chro­mo­somes). Stuff the wads into a shoe box (the cell nucle­us) along with — oh, say enough chick­en-noo­dle soup to fill the box. Toss the shoe box into a steam­er trunk (the cell), and fill the rest of the trunk with more soup.

Take the steam­er trunk with its con­tents and shrink it down to an invis­i­bly small object, small­er than the point of a pin. Mul­ti­ply that tiny object by ten tril­lion and you have the cells of the human body, each with its full com­ple­ment of DNA.

Got that?

Now here comes the real­ly aston­ish­ing part.

All that DNA — those hun­dreds of tril­lions of wads of thread — is not just sit­ting there, sta­t­ic. As you read this essay, a flur­ry of activ­i­ty is going on in every cell of your body.

Tiny pro­tein-based “motors” crawl along the strands of DNA, tran­scrib­ing the code into sin­gle-strand RNA mol­e­cules, which in turn pro­vide the tem­plates for build­ing the pro­teins that build and main­tain our bod­ies. Oth­er pro­teins help pack DNA neat­ly into the nuclei of cells and main­tain the tidy chro­mo­some struc­tures. Still oth­er pro­tein-based “motors” are busi­ly at work unty­ing knots that form in DNA as it is unpacked in the nucle­us and copied dur­ing cell divi­sion. Oth­ers are in charge of qual­i­ty con­trol, check­ing for accu­ra­cy and repair­ing errors.

Work­ing, spin­ning, cease­less­ly weav­ing, wind­ing, unwind­ing, patch­ing, repair­ing — each cell like a bustling fac­to­ry of a thou­sand work­ers. Ten tril­lion cells hum­ming with the busi­ness of life.

Can we believe it? You bet.

My son-in-law, a mechan­i­cal engi­neer, works for a com­pa­ny invent­ing new ways to han­dle DNA. I am amazed by the things they do with DNA — stretch, snip, mea­sure forces, feed though spe­cial­ly designed diag­nos­tic chips — all this on a scale that is invis­i­bly small. And of course we have recent­ly wit­nessed the com­plete tran­scrip­tion of the human genome — a list­ing of the 3 bil­lion nucleotide pairs that are the guid­ing code of a human life — one of the great mile­stones in the his­to­ry of science.

Men­tion this stuff to many peo­ple and their eyes glaze over with bore­dom. Yet they are quick to believe in horo­scopes, ESP, alien abduc­tions, Loch Ness mon­sters, body auras, UFOs, rein­car­na­tion, ghosts, angels, out-of-body expe­ri­ences, mirac­u­lous cures, home­opa­thy, psy­choki­ne­sis, etc., etc., for none of which is there a shred of non-anec­do­tal, con­sis­tent­ly repro­ducible evi­dence that is avail­able to believ­ers and skep­tics alike.

Most­ly, I think, we tend to believe those things that give us a sense of empow­er­ment over our bod­ies, or a sense of being some­how the focus of cos­mic atten­tions. Mean­while, the real mys­tery and won­der and beau­ty of the world goes by the board. What was that thought by Tim Robin­son I men­tioned in a post the oth­er day? The so-called mir­a­cles are explain­able. It’s the expla­na­tions that are miraculous.

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