Final answer:
Without specific context, it is not possible to determine what Miyake et al. propose, as 'et al.' refers to a group of authors in a publication. More information, such as the publication details, would be necessary to provide an accurate response.
Step-by-step explanation:
Without specific publications or context provided for what Miyake et al propose, it is challenging to offer a precise answer. Typically, when referencing academic work as "Author et al.", it points to a research study or a proposal made by the first-named author and their team in a particular publication. In scholarly works, "et al." is used when the research group or list of authors is extensive, but the citation rules usually require only the first author's name to be listed followed by "et al." which means "and others" in Latin. Therefore, "Miyake et al." suggests that Miyake is the lead author of a research group that has produced work that is being referenced.
The references provided such as Yuichi Yoshimura, Satoshi Kobayashi, Hitomi Kaneko, Takeshi Suzuki and Tomozumi Imamichi, and others like Takahito Mukai, Noah M. Reynolds, Ana Crnković, and Dieter Söll are examples of author groups where if one were referencing their collective research, one might use "Yoshimura et al." or "Mukai et al." in a similar fashion.
To provide an accurate answer to what specifically Miyake et al propose, additional context or a specific reference to a publication year, journal, or study topic is needed.