From an evolutionary perspective, deiodinases may be considered pivotal players in the emergence and functional diversification of both thyroidal systems (TS) and their iodinated messengers. To better understand the evolutionary pathway and the concomitant functional diversification of vertebrate deiodinases, in the present review we summarized the highlights of the available information regarding this ubiquitous enzymatic component that represents the final, common physiological link of TS. The information reviewed here suggests that deiodination of tyrosine metabolites is an ancient feature of all chordates studied to date and consequently, that it precedes the integration of the TS that characterize vertebrates. Phylogenetic analysis presented here points to D1 as the oldest vertebrate deiodinase and to D2 as the most recent deiodinase gene, a hypothesis that agrees with the notion that D2 is the most specialized and finely regulated member of the family and plays a key role in vertebrate neurogenesis. Thus, deiodinases seem to be major participants in the evolution and functional expansion of the complex regulatory network of TS found in vertebrates.
This paper formulates some conjectures about the amplitude of 1. Introduction resonance in the General Standard Map. The main idea is to ex-2. Resonant Normal Forms pand the periodic perturbation function in Fourier series. Given 3. Rules to Determine the Resonant Normal Form any rational rotation number, we choose a finite number of har-4. Numerical computation monies in the Fourier expansion and we compute the amplitude 5. Estimate of A p/q for Values of e of the Order of 1 of resonance of the reduced perturbation function of the map, r ~ " £n using a suitable normal form around the resonance, which is 6. Collapse of Resonance _° M M r t order of 1.We find that some perturbation functions give rise "..,.. a phenomenon that we call collapse of resonance; this means Bibliography / K ' that the amplitude of resonance goes to zero for some value of the perturbation parameter. We find an empirical procedure to estimate this value of the parameter related to the collapse of resonance.
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