I'll do my best. I wouldn't consider myself
very well versed in tensegrity; however, I think that if one has a mechanically-inclined or visual mind, it's not terribly hard to grasp the idea. Tensegrity is an idea that exists outside of biomechanics, but was brought into it.
I believe the rubber bands are an idealization of the forces acting on the spine. See the video below.
From wikipedia:
en.wikipedia.org
A quick word on biomechanics theories:
I love biomechanics. I'm going into physics, but I don't see my love of biomechanics going away any time soon, especially as the two are related. There are a lot of people who have put out various biomechanics models. I would say that, just like in the realm of training, it's not so much about which idea is best, as it is how different ideas cross concepts with each other. The tensegrity model of biomechanics is really interesting. I haven't done a deep dive on it, but if it lights a spark for anyone, I suggest Thomas Myers work.
Thomas Myers is the guy who made fascia a thing that anyone cared about. Caveat here, some people out there took his ideas and ran wayyyyy out into woo-woo land with them. They do not represent his ideas, from what I understand.
This video covers quite a bit of ground, and might be worth a re-watch, or a watch-and-pause, if you really want to get the juicy tid bits out of it. It is important to remember that this is a presentation of the overarching theory. To understand individual structures, or how the systems of the body work, you'd have to dig deeper.