It's designing with lessons learned from nature. Biomimicry was coined by Janine Benyus in her book, Biomimicry: Innovation Inspired by Nature. Biomimicry in interior design can follow seven steps laid out in the current issue of Natural Home...
1. Design your home to respond to the sun's light.
2. Make connections between your furnishings and decor.
3. Combine form and function.
4. Create life-affirming beauty.
5. Optimize your resources.
6. Reduce, reuse, following the cycle of life.
7. Think locally.
Read more on carrying out these steps at Natural Home. And the article held a wonderful quote:
"When I judge art, I take my painting and put it next to a God-made object like a tree or a flower. If it clashes, it is not art."