Do we have a publication database or search engine that offers geneID or UniProtID correlation?
For example, I search "IPS cells" -> I want to know what genes or proteins are under active research in IPS cells.
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I think this could be close to what you're looking for: http://glad4u.zhang-lab.org/index.php
It works with gene names though, so I am not sure it's a 100% fit.
Take a look at GeneWalk, https://churchman.med.harvard.edu/genewalk. It's a very interesting solution to this rather difficult problem. It is well documented and packaged. But It's open source software -- not a service. You'll have to run it on your own system.