Nucleic acids questionsWatch this thread
Nucleic acids, more specifically purines (rather than pyrimidines; purines are adenine and guanine) are metabolised into uric acid. When uric acid crystallises, for as of yet unknown reasons, it causes gout. The more nucleic acid available, the more uric acid available, the likelier that it could crystallise and cause gout.
Still though, those are assumptions. Nonetheless, an association has been found between higher nucleic acid (protein) consumption from meat and seafood, and the incidence of gout.
One proposed mechanism is that uric acid crystallizes to form monosodium urate crystals. In a case of hyperuricemia (increased levels of uric acid), the monodsodium urate crystals may get deposited in different places. One common site for deposition is joints. When this happens, there is some sort of complex signalling (which we can ignore for present) that causes inflammation. This is characterized by increased presence of macrophages and other phagocytic cells such as neutrophils. So uric acid deposition in joints leads to "gouty arthritis".
Sometimes, over a long period of time, monosodium urate crystals may get deposited in your soft tissues in the form of nodules which are also called tophi (you can skip this if you find it difficult). The form of gout that results is called chronic tophaceous gout.
SO, to return to your original case: excess nucleic acid increases production of uric acid, which crystallized as monosodium urate in joints and soft tissues, leading to an inflammatory response which is called gout.
If you have any questions, ask away!