Homology maps

Nicholls RD, Gottlieb W, Russell LB, Davda M, Horsthemke B, Rinchik EM (1993) Evaluation of potential models for imprinted and nonimprinted components of human chromosome 15ql 1-ql3 syndromes by fine-structure homology mapping in the mouse. Proc Natl Acad Sci USA 90 2050-2054. 

Mey G, Oeser B, Lebrun MH, Tudzynski P.The biotrophic, non-appressoria forming grass pathogen Claviceps purpurea needs a Fus3/Pmkl homologous MAP kinase for colonization of rye ovarian tissue. Mol Plant Microbe-Interact 15 303-312, 2002a. 

Proof. We need only check that the induced homology maps are isomorphisms, which follows from (3.9.3.1) or (3.9.3.2), a direct smn over B being a lim of the family of direct sums over finite subsets of B. Q.E.D. 

Therefore, to show for any given j that the homology map H p ) is an isomorphism—which suffices, by (1.2.2)—we can replace F by Thus we may assume that F is bounded below. Also, as above, we may assume that G is fiat, whence so is / G = L/ G. 

Since Y is separated, we can replace " by a D-isomorphic q-flat quasi-coherent complex, which is a limof bounded-above flat complexes, see [AJL, p. 10, (1.1)] and its proof. Since the functors f Oy Lf — ) and / (—) are both bounded-above, we may assume that E is bounded-below for each n G Z, if E is obtained by replacing all sufficiently-negative-degree components of E by (0) then Xe Xe induce identical homology maps in degree n, and (1-2.2) can be applied. Similarly, since is bounded below, and -f E = f E when is a lim of bounded-above flat complexes, we can reduce further to where E is bounded, flat, and quasi-coherent. 

Molecular replacement is where the phases of a known structure are used to determine the structure of a protein that may be identical but crystallized in a different space group or may adopt essentially the same structure (e.g., a homologous protein). Essentially, the calculations find the rotation and translation of the molecule that work with the phases to produce an interpretable electron density map. 

Ahmad D, R Masse, M Sylvestre (1990) Cloning, physical mapping and expression in Pseudomonas putida of 4-chlorobiphenyl transformation genes from Pseudomonas testosteroni strain B-356 and their homology to the genomic DNA from other PCB-degrading bacteria. Gene 86 53-61. 

Nakielny, S., Campbell, D. G., and Cohen, P. (1992b). MAP kinase kinase from rabbit skeletal muscle a novel dual specificity enzyme showing homology to yeast protein kinases involved in pheromone-dependent signal transduction. FEBS Lett. 308 183-189. 

---