CoRR is short for "co-location for redox regulation", itself a shortened form of "co-location (of gene and gene product) for (evolutionary) continuity of redox regulation of gene expression".
CoRR was put forward explicitly in 1993 in a paper in the Journal of Theoretical Biology with the title "Control of gene expression by redox potential and the requirement for chloroplast and mitochondrial genomes". The central concept had been outlined in a review of 1992. The term CoRR was introduced in 2003 in a paper in Philosophical Transactions of the Royal Society entitled "The function of genomes in bioenergetic organelles".
Chloroplasts and mitochondria
Chloroplasts and mitochondria are energy-converting organelles in the cytoplasm of eukaryotic cells. Chloroplasts in plant cells perform photosynthesis; the capture and conversion of the energy of sunlight. Mitochondria in both plant and animal cells perform respiration; the release of this stored energy when work is done. In addition to these key reactions of bioenergetics, chloroplasts and mitochondria each contain specialized and discrete genetic systems. These genetic systems enable chloroplasts and mitochondria to make some of their own proteins.
Both the genetic and energy-converting systems of chloroplasts and mitochondria are descended, with little modification, from those of the free-living bacteria that these organelles once were. The existence of these cytoplasmic genomes is consistent with, and counts as evidence for, the endosymbiont hypothesis. Most genes for proteins of chloroplasts and mitochondria are, however, now located on chromosomes in the nuclei of eukaryotic cells. There they code for protein precursors that are made in the cytosol for subsequent import into the organelles.
Why do mitochondria and chloroplasts have their own genetic systems?
Why do mitochondria and chloroplasts require their own separate genetic systems, when other organelles that share the same cytoplasm, such as peroxisomes and lysosomes, do not? The question is not trivial, because maintaining a separate genetic system is costly: more than 90 proteins ... must be encoded by nuclear genes specifically for this purpose. ... The reason for such a costly arrangement is not clear, and the hope that the nucleotide sequences of mitochondrial and chloroplast genomes would provide the answer has proved to be unfounded. We cannot think of compelling reasons why the proteins made in mitochondria and chloroplasts should be made there rather than in the cytosol.—Alberts et al., The Molecular Biology of the Cell. Garland Science. All editions 
CoRR seeks to explain why chloroplasts and mitochondria retain DNA, and thus why some characters are inherited through the cytoplasm in the phenomenon of cytoplasmic, non-Mendelian, uniparental, or maternal inheritance. CoRR does so by offering an answer to this question: why, in evolution, did some bacterial, endosymbiont genes move to the cell nucleus, while others did not?
CoRR states that chloroplasts and mitochondria contain those genes whose expression is required to be under the direct, regulatory control of the redox state of their gene products, or of electron carriers with which those gene products interact. Such genes comprise a core, or primary subset, of organellar genes. The requirement for redox control of each gene in the primary subset then confers an advantage upon location of that gene within the organelle. Natural selection therefore anchors some genes in organelles, while favouring location of others in the cell nucleus.
Chloroplast and mitochondrial genomes also contain genes for components of the chloroplast and mitochondrial genetic systems themselves. These genes comprise a secondary subset of organellar genes: genetic system genes. There is generally no requirement for redox control of expression of genetic system genes, though their being subject to redox control may, in some cases, allow amplification of redox signals acting upon genes in the primary subset (bioenergetic genes).
Retention of genes of the secondary subset (genetic system genes) is necessary for the operation of redox control of expression of genes in the primary subset. If all genes disappear from the primary subset, CoRR predicts that there is no function for genes in the secondary subset, and such organelles will then, eventually, lose their genomes completely. However, if even only one gene remains under redox control, then an organelle genetic system is required for the synthesis of its single gene product.
- Different products of protein synthesis in isolated chloroplasts and mitochondria are obtained in the presence of redox reagents with different redox potentials. In mitochondria, the effect results from a redox signal at the level of respiratory complex II.
- Genes in chloroplasts are selected for transcription according to the redox state of the electron carrier plastoquinone. These genes code for photosynthetic reaction centers and other components of the photosynthetic electron transport chain.
- A modified bacterial sensor kinase couples transcription in chloroplasts to plastoquinone redox state. This chloroplast sensor kinase is inherited from cyanobacteria and encoded in plant nuclear DNA. Chloroplast sensor kinase is part of a redox two-component regulatory system in eukaryotes.
- Transfer of mitochondrial and chloroplast DNA to the nucleus
- Mitochondrial DNA
- Allen JF (December 1993). "Control of gene expression by redox potential and the requirement for chloroplast and mitochondrial genomes". J. Theor. Biol. 165 (4): 609–31. doi:10.1006/jtbi.1993.1210. PMID 8114509.
- Allen JF (January 1992). "Protein phosphorylation in regulation of photosynthesis". Biochim. Biophys. Acta 1098 (3): 275–335. PMID 1310622.
- Allen JF (January 2003). "The function of genomes in bioenergetic organelles". Philos. Trans. R. Soc. Lond., B, Biol. Sci. 358 (1429): 19–37; discussion 37–8. doi:10.1098/rstb.2002.1191. PMC 1693096. PMID 12594916.
- Alberts B, Johnson A, Lewis J, Raff M, Roberts K, and Walter P Molecular Biology of the Cell. Fifth Edition. New York and London: Garland Science; 2007.
- Allen CA, Hakansson G, Allen JF (1995). "Redox Conditions Specify the Proteins Synthesized by Isolated-Chloroplasts and Mitochondria". Redox Report 1 (1): 119–123.
- Pfannschmidt T, Nilsson A, Allen JF (February 1997). "Photosynthetic control of chloroplast gene expression". Nature 397 (6720): 625–628. doi:10.1038/17624.
- Puthiyaveetil S, Kavanagh TA, Cain P, Sullivan JA, Newell CA, Gray JC, Robinson C, van der Giezen M, Rogers MB, Allen JF (July 2008). "The ancestral symbiont sensor kinase CSK links photosynthesis with gene expression in chloroplasts". Proc. Natl. Acad. Sci. U.S.A. 105 (29): 10061–6. doi:10.1073/pnas.0803928105. PMC 2474565. PMID 18632566.
- Puthiyaveetil S, Allen JF (June 2009). "Chloroplast two-component systems: evolution of the link between photosynthesis and gene expression". Proc. Biol. Sci. 276 (1665): 2133–45. doi:10.1098/rspb.2008.1426. PMC 2677595. PMID 19324807.