there are applicable such other provisions, regulations or interpretations, which are consistent with the provisions contained in Public Law 803, 69th Congress (
[44 Stat. 1424], approved
March 4, 1927), as amended [
33 U.S.C. 901 et seq.], which are applicable under
section 932(a) of this title, but are not inconsistent with any of the criteria set forth in subparagraphs (A) through (E) of this paragraph, as the Secretary, in accordance with regulations promulgated by him, determines to be necessary or appropriate to assure adequate compensation for total disability or death due to pneumoconiosis.