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John 15:4 4 Abide in me, and I in you. As the branch cannot bear fruit of itself, except it abide in the vine; no more can ye, except ye abide in me ©2000 Timothy G. Standish Linkage, Crossing Over And Mapping In Eukaryotes Timothy G. Standish, Ph. D. ©2000 Timothy G. Standish Chromosomal Theory of Inheritance Telophase I E Prophase I Crossing Over e Replication E n E e n N E e n N e n N e E e n N N n e N E N E e E n Telophase II N n ©2000 Timothy G. Standish Independent Assortment Eggs As long as genes are on different chromosomes, they will assort independently Sperm EN En eN en EN EENN EENn EeNN EeNn En EENn EEnn EeNn Eenn eN EeNN EeNn eeNN eeNn en EeNn Eenn eeNn eenn ©2000 Timothy G. Standish Two Genes On One Chromosome Telophase I Replication E N e n E N E N e n e e e N N n n Telophase II n Genes linked together on the same chromosome should segregate together during meiosis. E E E E e e N N n n ©2000 Timothy G. Standish Linked Genes Eggs Because genes cosegregate, a 3:1 ratio results instead of the expected 9:3:3:1 Sperm EN En eN en EN EENN EENn EeNN EeNn En EENn EEnn EeNn Eenn eN EeNN EeNn eeNN eeNn en EeNn Eenn eeNn eenn ©2000 Timothy G. Standish Two Genes On One Chromosome With Crossing Over Prophase I Replication E E e e e E e N N E Telophase I N n n N E e N N n n Telophase II n As long as genes on the same n chromosome are located a long distance apart, they will assort independently due to crossing over during prophase I of meiosis E e E e E e N N n n ©2000 Timothy G. Standish With Crossing Over Eggs As long as crossing over occurs between genes they will assort independently Sperm EN En eN en EN EENN EENn EeNN EeNn En EENn EEnn EeNn Eenn eN EeNN EeNn eeNN eeNn en EeNn Eenn eeNn eenn ©2000 Timothy G. Standish Still Not 9:3:3:1 Linked genes, unless they are far apart on the chromosome, still do not exhibit the phenotypic ratio expected from independent assortment Deviation from the expected ratio allows mapping of genes The further apart two genes are, the more probable a cross over event is between them A B Tightly linked A C Closer to independent assortment ©2000 Timothy G. Standish Linkage In A Test Cross Imagine a situation where true breeding ebony body (e) mahogany eyes (mah) D. menanogaster are crossed with wild type flies: e e mah mah X e+e+mah+mah+ Expected F1 would be: e+e mah+mah All F1 progeny should be phenotypically wild type If a test cross was done crossing the F1 flies with homozygous ebony mahogany flies, the expected +e mah+mah e e mah mah X e outcome would be: e+mah+ e+mah e mah+ e mah e mah e+e mah+mah e+e mah mah e e mah+mah e e mah mah 1:1:1:1 ©2000 Timothy G. Standish Linkage In A Test Cross If the actual numbers were: ebony mahogany 41 Wild type 42 ebony 8 mahogany 9 Linkage would naturally be suspected The ebony and mahogany flies must have resulted from crossing over As there are a total of 100 flies in the sample and 17 represent crossover events, these genes are said to be 17 map units (or centimorgans) apart e mah 17 mu Chromosome ©2000 Timothy G. Standish Mapping A Three Point Cross Two point crosses do not tell us much about gene order on chromosomes Three point crosses allow determination of both gene sequence and distances between genes Imagine the following cross between an ebony bodied, curly winged, cardinal eyed male and a female heterozygous for the same traits: e+e cu+cu cd+cd X ee cucu cdcd Expected F1 would be: e+cu+ro+ e+cu+ro e+cu ro+ e+cu ro e cu ro+ e cu+ ro e cu+ro+ e cu ro e cu ro e+ecu+cu e+ecu+cu e+ecucu e+ecucu ee cucu ee cu+cu ee cu+cu ee cucu cd+cd cd cd cd+cd cd cd cd+cd cd cd cd+cd cd cd ©2000 Timothy G. Standish Mapping A Three Point Cross Phenotype Wild type cardinal curled curled cardinal ebony curled ebony cardinal ebony ebony curled cardinal Expected Observed 125 375 125 19 125 101 125 5 125 17 125 102 125 3 125 378 ©2000 Timothy G. Standish Mapping A Three Point Cross Phenotype Wild type cardinal curled curled cardinal ebony curled ebony cardinal ebony ebony curled cardinal Observed 375 19 101 4 18 103 2 378 Rearrange in descending order of observance ©2000 Timothy G. Standish Mapping A Three Point Cross Phenotype ebony curled cardinal Wild type ebony cardinal curled cardinal ebony curled curled cardinal ebony Observed 378 375 103 101 19 18 4 2 Because crossing over is an event less (and because Double Intermediate crossovers classes would represent beinfrequent expected single crossover much events frequently we know parents genotypes) most commonly than singlethe crossovers. Thus the the least frequently observed appearing represent no crossing over class must class represent crossover between the gene in the middle and the two flanking genes ©2000 Timothy G. Standish Mapping A Three Point Cross Phenotype ebony curled cardinal Wild type ebony cardinal curled cardinal ebony curled curled cardinal ebony Observed 378 375 103 101 19 18 4 2 Knowing that ebony is in the middle allows construction of a tentative map cu e Which is exactly the same as: cd e cd cu ©2000 Timothy G. Standish Mapping A Three Point Cross cd cu e + e + cu Observed 378 375 103 101 19 18 4 2 cd + Phenotype ebony curled cardinal Wild type ebony cardinal curled cardinal ebony curled curled cardinal ebony ©2000 Timothy G. Standish Mapping A Three Point Cross cd cu + e e cd + cu Observed 378 375 103 101 19 18 4 2 + Phenotype ebony curled cardinal Wild type ebony cardinal curled cardinal ebony curled curled cardinal ebony ©2000 Timothy G. Standish Mapping A Three Point Cross cd cu + e 6 e cd + cu Observed 378 375 103 101 19 18 4 2 + Phenotype ebony curled cardinal Wild type ebony cardinal curled cardinal ebony curled curled cardinal ebony ©2000 Timothy G. Standish Mapping A Three Point Cross cd cu + e 6 + cu Observed 378 375 103 101 19 18 4 2 + Phenotype ebony curled cardinal Wild type ebony cardinal curled cardinal ebony curled curled cardinal ebony e cd ©2000 Timothy G. Standish Mapping A Three Point Cross e (204 + 6) x 100= 21 1,000 cd cu + 21 + cu Observed Single Double cross + cross = MU 378 Total 375 103 204 101 19 18 4 6 2 + Phenotype ebony curled cardinal Wild type ebony cardinal curled cardinal ebony curled curled cardinal ebony e cd ©2000 Timothy G. Standish Mapping A Three Point Cross e cd + Double cross Total = MU 6 cu e + 21 Single cross + cu Observed 378 375 103 101 19 18 4 2 + Phenotype ebony curled cardinal Wild type ebony cardinal curled cardinal ebony curled curled cardinal ebony cd ©2000 Timothy G. Standish Mapping A Three Point Cross e 4.3 (37 + 6) x 100 = 4.3 1,000 cd + Double cross Total = MU 37 6 cu e + 21 Single cross + cu Observed 378 375 103 101 19 18 4 2 + Phenotype ebony curled cardinal Wild type ebony cardinal curled cardinal ebony curled curled cardinal ebony cd ©2000 Timothy G. Standish Mapping In Haploid Organisms Haploid organisms are, in some ways, easier to work with because all genes impact phenotype On the other hand, they tend to be ugly smelly things that provide many other challenges Fungi in the phylum Ascomycota are easiest to work with as they show the order of division in their asci ©2000 Timothy G. Standish Meiosis In An Ascus a a Zygote A A Aa ©2000 Timothy G. Standish Meiosis In An Ascus a a a A A a a A A A ©2000 Timothy G. Standish Meiosis In An Ascus a a a a a a A A A A A A ©2000 Timothy G. Standish Meiosis In An Ascus a a a a a a a a A A A A A A A A ©2000 Timothy G. Standish Meiosis In An Ascus: If Crossing Over Occurs a a a A A a A A ©2000 Timothy G. Standish Meiosis In An Ascus: If Crossing Over Occurs a a a a A A a A A Aa A a A Aa ©2000 Timothy G. Standish Meiosis In An Ascus: If Crossing Over Occurs a a a a A A a A A a A A a A a A ©2000 Timothy G. Standish Meiosis In An Ascus: a If Crossing Over Occurs a a a a A A a A A a A A A a A a a A A ©2000 Timothy G. Standish Meiosis In An Ascus: a If Crossing Over Occurs a a a a A A A A a A 4:4 pattern in asci indicates no crossing over has occurred (FirstDivision Segregation) A 2:4:2 or 2:2:2:2 pattern indicates crossing over (SecondDivision Segregation) a A A A A a A A a a ©2000 Timothy G. Standish ©2000 Timothy G. Standish Problem 1 In Drosophila, vermilion (v) is recessive to red (V) eyes and miniature (m) wings are recessive to normal (M) wings. The following cross was made: Male VVMM x vvmm Female A What was the phenotype of the F1 generation? B What F2 phenotypic ratio would you expect? C If the actual F2 phenotypic numbers were: – 147 red eyed normal winged – 49 vermilion eyed miniature winged, – 2 red eyed miniature winged, – 2 vermilion eyed normal winged, How would you explain this? ©2000 Timothy G. Standish Solution 1 A What was the phenotype of the F1 generation? VVMM makes VM gametes vvmm makes vm gametes Thus the F1 must be VvMm B What F2 phenotypic ratio would you expect? 9 red eyed normal winged (V_M_) 3 red eyed miniature winged (V_mm) 3 vermilion eyed normal winged (vvM_) 1 vermilion eyed miniature winged (vvmm) ©2000 Timothy G. Standish Solution 1 Continued C If the actual F2 phenotypic numbers were: – 147 red eyed normal winged – 49 vermilion eyed miniature winged, – 2 red eyed miniature winged, – 2 vermilion eyed normal winged, How would you explain this? v+ m+ v+ v m v m m+ v+ m+ v+ m v m+ 0.01 0.01 v m 0.49 0.49 F1 Gametes ©2000 Timothy G. Standish Solution 1 Continued v + v+ m+ v+ v m 0.49 v+m+ 0.49 v+m+ 0.01 v +m 0.01 vm+ 0.49 vm v 0.01 v +m 0.01 vm+ m m+ m+ 0.49 v+ m v m+ 0.01 0.01 v m 0.49 0.49 vm 0.0049 0.2401 0.2401 v+0.0049 + + + + + + + v+v+m+m+ v m m v vm m v vm m 0.74 v+_m+_ (0.74*200=148) 0.0049 0.0001 0.0001 + + + + + v v m m v v mm v+vm+m 0.0049 v+vmm 0.01 v+_mm (0.01*200=2) 0.0049 0.0001 0.0001 + + + + + v vm m v vm m vvm+m+ 0.0049 vvm+m 0.01 vvm+_ (0.01*200=2) 0.2401 v+vm+m 0.2401 vvmm 0.24 vvmm (0.24*200=48) 0.0049 v+vmm 0.0049 vvm+m ©2000 Timothy G. Standish Solution 1 Continued v m 1cM Vermillion and miniature winged are closely linked genes on the same chromosome The distance between vermilion and miniature is 1 centimorgan The reason numbers in the cross do not fit the prediction of 1 centimorgan exactly is that the numbers are the result of chance and thus would not be expected to fit the predicted ratio perfectly ©2000 Timothy G. Standish