Some proteins are produced constitutively, that is, without regulation. Others have feedback from sensor proteins, sometimes through multiple-step signaling pathways, that control the configuration of the regulatory proteins bound to the gene's promoter/operator region. A classic case study is the lac operon. Look in the index of any senior-level biochem book or microbiology book for a description of that operon, which involves feedback regulation.
A new area of study in biology is the microRNA system, which regulates gene expression (that is, regulates manufacture of protein) by suppressing translation of mRNA. Briefly, a short strand of RNA (itself regulated at the transcriptional level) is bound to a protein complex, binds to partially-complementary regions in the 3'-untranslated region of mRNAs (usually, though targets in other locations have been found) and suppresses the formation of an active initiation complex (formation of this complex is the first step in the translation of a protein from an RNA template).
That's about all I can cram into a nutshell. There are chapters on gene regulation in molecular biology texts. I've not touched on related topics like alternative splicing, attenuation, ribozymes, natural antisense transcripts, bending of DNA by proteins like the E.coli integration host factor (IHF) to bring distant regions of DNA into proximity and allow DNA-bound proteins to interact, histone protein modifications that change the tightness of DNA winding on histone spools ... this could go on and on. At least this list can provide a few keywords/phrases to lead you into the subject.