I learned something new today, and something surprising. I’ve opened up my fair share of bellies and seen intestines doing their slow peristaltic dance in there, and I knew in an abstract way that guts were very long and had to coil to fit into the confined space of the abdominal cavity, but I’d always just assumed it was simply a random packing — that as the gut tube elongated, it slopped and slithered about and fit in whatever way it could. But no! I was reading this new paper today, and that’s not the case at all: there is a generally predictable pattern of coiling in the developing gut, and it’s species-specific.
The midgut forms as a simple linear tube of circular cross-section running down the midline of the embryo, and grows at a greater rate than the surrounding tissue, eventually becoming significantly longer than the trunk. As the size of the developing mid- and hindgut exceeds the capacity of the embryonic body cavity, a primary loop is forced ventrally into the umbilicus (in mammals) or yolk stalk (in birds). This loop first rotates anticlockwise by 90° and then by another 180° during the subsequent retraction into the body cavity. Eventually, the rostral half of the loop forms the midgut (small intestine) and the caudal half forms the upper half of the hindgut (the ascending colon).
The chirality of this gut rotation is directed by left-right asymmetries in cellular architecture that arise within the dorsal mesentery, an initially thick and short structure along the dorsal-ventral axis through which the gut tube is attached to the abdominal wall. This leads the mesentery to tilt the gut tube leftwards with a resulting anticlockwise corkscrewing of the gut as it herniates. However, the gut rotation is insufficient to pack the entire small intestine into the body cavity, and additional loops are formed as the intestine bends and twists even as it elongates. Once the gut attains its final form, which is highly stereotypical in a given species, the loops retract into the body cavity. During further growth of the juvenile, no additional loops are formed, as they are tacked down by fascia, which restrict movement and additional morphogenesis without inhibiting globally uniform growth.
That is just plain awesome. Now I want to open up a zebrafish and look at the curling of its intestines, or better yet, peer into a larva and see if there are any predictable rules of formation. Oh, jeez, I want to look inside my own belly, although that would be a kind of self-defeating experiment.
So how do species-specific coiling patterns emerge? A naive expectation might be that there are specific genes associated with the process that selectively impose bends at specific locations along the length of the intestine — that there is genetically determined spatial information along the tube that defines how it should coil. This is not the case. Instead, the reproducible pattern of coiling is an emergent property of some general parameters of the tissues.
You do need to know some very elementary anatomy to know what’s going on here. The gut begins embryonically as a simple, straight tube, fixed at both ends at the mouth and anus. Initially, the gut is the same length as the body, and is suspended from the back of the body cavity by a continuous sheet of tissue, the mesentery, that is also the same length as the gut. But then what happens is that the gut elongates, while the mesentery grows much more slowly. This difference in growth rates means that the gut is under compression along its length, restrained by the mesenteries, which causes it to periodically buckle.
One way to test the role of the mesentery is to remove it. If you carefully cut it away from the gut, as is shown in (c) and (d) of the figure above, it straightens out — in a fully relaxed state, without the compression of the mesenteries, the gut is straight and linear. You can do partial cuts, too, and wherever a stretch of gut is released from the mesentery constraint, it uncoils.
Take it another step. Is this how generic tubes and sheets interact? The authors took a rubber tube of length Lt, and a rubber sheet of length Lm, where Lm is less than Lt. They stretched the rubber sheet to length Lt, stitched it to the rubber tube, and then let it go. Voila, it spontaneously coiled into a configuration (b) that closely resembles the chicken gut (c).
This is qualitatively convincing — they do look very similar, and at this point I’m willing to believe that mechanical forces are sufficient to explain the coiling pattern. The authors take another step, though: they bring out the math and get all quantitative. This is a reasonable idea; from the model above, it does look like the shape is reducible to a small number of parameters, so it’s a manageable problem. So brace yourself: a little math coming right up.
We now quantify the simple physical picture for looping sketched above to derive expressions for the size of a loop, characterized by the contour length, λ, and mean radius of curvature, R, of a single period. The geometry of the growing gut is characterized by the gut’s inner and outer radii, ri and ro, which are much smaller than its increasing length, whereas that of the mesentery is described by its homogeneous thickness, h, which is much smaller than its other two dimensions. Because the gut tube and mesentery relax to nearly straight, flat states once they are surgically separated, we can model the gut as a one-dimensional elastic filament growing relative to a thin two-dimensional elastic sheet (the mesentery). As the gut length becomes longer than the perimeter of the mesentery to which it is attached, there is a differential strain, ε, that compresses the tube axially while extending the periphery of the sheet. When the growth strain is larger than a critical value, ε* the straight tube buckles, taking on a wavy shape of characteristic amplitude A and period λ>A. At the onset of buckling, the extensional strain energy of the sheet per wave- length of the pattern is Um∝Emε2hλ2, where Em is the Young’s modulus of the mesentery sheet. The bending energy of the tube per wavelength is Ut∝EtItκ2λ, where κ ∝ A/λ2 is the tube curvature, It ∝ ro4-ri4 is the moment of inertia of the tube and Et is the Young’s modulus of the tube. Using the condition that the in-plane strain in the sheet is ε* ∝ A/λ and minimizing the sum of the two energies with respect to λ then yields a scaling law for the wavelength of the loop:
Did you get all that? If not, don’t worry about it. What it all means is that we can measure general properties of gut tissues, plug the parameters into these formulas, and ask a computer to predict what the gut should look like in a numerical simulation. And it works!
At this point, you should be saying enough — that’s more than enough awesome to convince you that they’ve determined the rules that shape the gut. But no, they go further: all the above work is in chickens, so they reach out and start disemboweling other species, and ask if their formulas work to describe their gut coiling, too. Would you be surprised to learn that it does?
What makes this a beautiful result is that it’s a perfect illustration of the principles D’Arcy Wentworth Thompson laid out in his book, On Growth and Form (and even the title of the paper is a nod to that classic of developmental biology). Sometimes, simple mathematical rules govern the patterns we see in developing systems, whether it’s the Fibonacci spirals we see in the head of a sunflower or the coils of a nautilus shell, or tangled loops of our intestines. The form is not laid out in tightly-coded, case-by-case specification in the genome, but by the genetic definition of only a few parameters, in this case the relative rates of growth of two adherent tissues and the compression they impose on an elongating tube, from which a lovely arrangement flowers elegantly.
Savin T, Kurpios NA, Shyer AE, Florescu P, Liang H, Mahadevan L, Tabin CJ (2011) On the growth and form of the gut. Nature 476:57-63.
(Also on FtB)