How important is the stability of gene products in the process of gene expression? We use a dual-compartment mathematical model to demonstrate the effects that changing the rates of synthesis and degradation of hypothetical mRNAs and proteins would have on the final concentration of protein. The model predicts that the concentration of protein at steady state equals the product of the rate constants for synthesis of mRNA and protein (ks1 and ks2) divided by the product of the rate constants for degradation (kd1 and kd2) and that the rate at which protein concentration changes depends on the rate constants for degradation of both the mRNA and the protein. This permits great flexibility in controlling induction kinetics for particular gene products, since their synthesis, translation, and degradation may be regulated coordinately to permit induction to be stable or transient or to amplify the final yield of protein. We suggest single exons may encode structural features that cause both mRNAs and proteins to be labile, thereby ensuring that modal stabilities of highly regulated macromolecules are similar.
The chemical properties that determine the distribution of the electro-olfactogram were studied after exposure of a large area of the rat olfactory epithelium. Multiple electrodes were placed along the rostral border of endoturbinate IV on the midline of the nasal cavity. This array of electrodes spanned a region containing the four receptor gene expression zones described for the rat. The response to a series of odorants containing only carbon, hydrogen, and oxygen was strongly related to electrode position. For most hydrocarbons, the responses were progressively larger toward the ventral epithelium. The only exceptions were aromatic hydrocarbons, which evoked nearly equal response sizes across the epithelium. Ketones and aldehydes evoked relatively larger dorsal responses than did hydrocarbons with similar structures. Aromatic ketones and aldehydes evoked systematically larger responses from the dorsal part of the epithelium. The response profiles for most odorants were well described by a linear fit to the electrode position along the dorsal-ventral position on the epithelium. However, a few bicyclic odorants and carboxylic acids evoked significantly nonlinear profiles. It is concluded that there is a systematic distribution of odorant sensitivity across this part of the epithelium and that this sensitivity is related to general chemical properties. Other evidence suggests that these properties extend to other parts of the epithelium. This spatial sensitivity of the epithelium to odorants probably contributes to olfactory coding in parallel with the convergence of axons from olfactory sensory neurons expressing the same receptor type.
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