Grant Bentley from Melbourne, Australia has developed a Miasmatic schema based upon Hahnemann's work, with his original three misams.
Consider the following from the Organon.
40 Philosophy, Two Dissimilar Diseases, The Third Caae.
III. Or the new disease, after having long acted on the organism, at length joins the old one that is dissimilar to it , and forms with it a complex disease, so that each of them occupies a particular locality in the organism, namely, the organs peculiarly adapted for it, and, as it were, only the place specially belonging to it, while it leaves the rest to the other disease that is dissimilar to it.
Thus a syphilitic patient may become psoric, and vice versa. As two diseases dissimilar to each other, they cannot remove, cannot cure one another.
At first the venereal symptoms are kept in abeyance and suspended when the psoric eruption begins to appear; in course of time, however (as the syphilis is at least as strong as the psora), the two join together,1 that is, each involves only those parts of the organism, which are most adapted for it, and the patient is thereby rendered more diseased and more difficult to cure.
1. From careful experiments and cures of complex diseases of this kind, I am now firmly convinced, that no real amalgamation of the two takes place, but that in such cases the one exists in the organism besides the other only, each in the parts that are adapted for it, and their cure will be completely effected by a judicious alternation of the best mercurial preparation, with the remedies specific for the psora, each given in the most suitable dose and form.
The above together with his clinical experience led him to believe that these complex entities could be observed in patients and that miasmatic names should be derived from the combination of the original two or three primary miasms.
Thus we have the Syco-Psoric Miasm, the Tubercular Miasm (Psora with Syphilis), and the Syco-Syphilitic miasm.
Further it was observed that some patients had indications of all three miasms in equal portions, which results in the now well known Cancer Miasm.
Bentley was assisted in the development of his ideas by the discovery that there are facial indicators for the the three primary miasms and that by doing a statistical analysis of the exact proportions of each, the dominant miasm or complex could be reliably identified.
Further, as a result of the reliability of the process, and the analysis over time of his thousands of cases, he found clear themes were present for each of the miasms.