The ductus arteriosus (DA) is the artery that shunts blood from the pulmonary artery to the aorta enabling blood to bypass the lungs in the fetus. One of my college *lecturers, a guy called Barry Jacobs, made reference to the recurrent laryngeal nerve (RLN) when describing how at birth, the DA closes so that blood can pass through the lungs. I think he said that tension from the left RLN, which passes underneath the DA before ascending to the larynx, aids the process of closing the DA. But the only literature I could find which supports this, I found while discussing this on the BBC R&E forum:
"Role of the vagus nerve and its recurrent laryngeal branch in the development of the human ductus arteriosus."
https://onlinelibrary.wiley.com/doi/pdf/10.1002/aja.1001670304This paper suggests that the supporting effect of the RLN beneath the sixth aortic arch during development, reducess the elastin content of the DA's smooth muscle wall. This means that it is less likely to remain patent after birth, when it closes in response to increased levels of chemicals in the circulation.
I think Barry said that the RLN exerts some kind of tension force on the DA at birth. But he may have misconstrued that with the above effect on it during development.
* I studied cardiology as part of a degree in Osteopathy, which I am not currently practicing.