The term "biopoetry," as it refers to a genre of poetry that incorporates elements of physical, scientific, and biological elements (especially genetics) with poetic inscription and creation, was first coined by Eduardo Kac in 1999. We might consider "biopoetry" to be working in relation to the larger field of "bioart," which has been defined as an artistic practice that “adapts scientific methods and draws inspiration from the philosophical, societal, and environmental implications of recombinant genetics, molecular biology, and biotechnology" (Yetisan et. al. 724). As an experimental and critical poetics, biopoetry brings traditional notions of literary production and authorship into question by interrogating the relationship between the individual human author and at least one other non-human element at the genetic scale. Some authors working in biopoetics are Kac (see his Genesis project), Joe Davis, Pak Chung Wong, Adam Dickinson, and Christian Bok.

See also:

Kac, Eduardo. "Biopoetry." Media Poetry: an International Anthology Second edition, Intellect Books, 2007, pp. 191-196.
Yetisen, Ali, Davis, Joe, Coskun, Ahmet, Church, George, and Yun, Seok Hyun. “Bioart.” Trends in Biotechnology, 2015, vol. 33, no. 2 pp. 24–34.