頁 1 /14 遺傳學Genetics 20/04/10 M.T.Yeung Variations and Inheritance A. Terminology Dominance & Recessive: showing their effect in both homozygous or heterozygous and mask the effect of another contrasting character which is said to be recessive and only shows its effect when homozygous. e.g. The factor (gene) for tallness is dominant to the factor for dwarfness which is described as recessive. Alleles : one of a pair of genes occupying the same locus on homologous chromosomes which separate during meiosis; different alleles would affect the expression of the same character. e.g. Genes for height exists in 2 different allelic forms: T : an allele for tallness t : an allele for dwarfness Homozygous : containing 2 identical alleles at the corresponding loci of the homologous chromosomes. (e.g. TT, tt) (Homozygote) Heterozygous : containing 2 different alleles at the corresponding loci of the homologous chromosomes.(e.g. Tt) (Heterozygote) Genotype : genetic constitution (genetic make-up) of an organisms (e.g. TT, Tt, tt) Phenotype : the external visible appearance of an organism resulting from certain inherited character. --- includes all the morphological, structural, anatomical, biochemical and physiological characteristics of the organism (e.g. tallness, dwarfness) Backcross : cross of a hybrid with one of its parents B. Discontinuous Variation sharp and clear cut variation where are no 'in-betweens' e.g. tongue rolling, blood groups 1. Monohybrid Inheritance (Monohybrid Cross) - inheritance of single pairs of contrasting characters. - controlled by a single gene - a. variation due to various combination between different alleles of a gene that resulted from gene mutation Mendel's Experiments on Monohybrid Inheritance Gregor Mendel (1822-1884): "Father of Genetics" He had selected 7 contrasting traits (discontinuous variation) in his crossing experiments: i form of seed(Smooth/wrinkled) ii. colour of cotyledons (yellow / green) iii. colour of seed coat (grey-brown / white) iv. form of pods (inflated / constricted) v. colour of unripe pods (green / yellow) vi. position of flowers (axial / terminal) vii. length of stem (long / short) 遺傳學Genetics 頁 2 /14 20/04/10 M.T.Yeung 頁 3 /14 遺傳學Genetics 20/04/10 Example 1: tall (2 m) & dwarf (0.25-0.5 m) Pure breeding plants: remain tall after self-pollination (selfing) for at least 2 generations ----------------> pure line (homozygote). The Cross: Parental generation (P): phenotype Pure-breeding tall pea plant genotype (TT) Gametes x (All) T (All) t First filial generation (F1)(Progeny) : phenotype genotype Gametes Pure-breeding dwarf pea plant (tt) T all tall (Tt) t X T Second filialgeneration (F2): genotype TT Tt Tt phenotype Tall (787) phenotypic ratio 3 t tt Dwarf (277) : 1 Conclusion: - There is no blending No intermediate effect in outward appearance - Definite particles (genes) are transmitted from parents to offsprings Other Examples: M.T.Yeung 頁 4 /14 遺傳學Genetics b. 20/04/10 M.T.Yeung Mendel's First Law (The Law of Segregation) The characteristic of an organism are determined by internal factors which occur in pairs. Only one of each pair of such factors can be presented in a single gamete. Modern interpretation of the law: The factors mentioned by Mendel are genes. Any character is controlled by a pair of genes (each member present on one of a pair of homologous chromosome) and in the formation of gametes, each gene segregates from its member and passes into a different gamete (during Anaphase I of meiosis) so that each gamete has one and only one of each type of gene. c. Test Cross : = Since an expressed dominant character can have two possible genotypes, hence, whether a dominant organism is homozygous / heterozygous dominant can be determined by a test cross. - by crossing with the double recessive homozygote - applicable for both plants and animals Example: Fruit fly (Drosophila) wild type: non-wild type: i. ii. long-wings (VV or Vv) vestigial wings (vv) If the fruitfly is homozygous dominant: P Genotype Phenotype Gametes F1 Genotype Phenotype Ratio VV long-wings all V x vv vestigial wings all v all Vv all long-wings 1 If the fruitfly is heterozygous dominant: P Genotype Phenotype Gametes Vv long-wings V v F1 Genotype Phenotype Ratio Vv long-wings 1 x vv vestigial wings all v : vv vestigial wings 1 Conclusion: (1) If all the offsprings are dominant ===> the dominant parent must be homozygous dominant. (2) If the ratio of dominant offsprings : recessive offsprings1:1 ===> the dominant parent must be heterozygous dominant. 頁 5 /14 遺傳學Genetics d. 20/04/10 M.T.Yeung Types of monohybrid crosses and the ratios in their offspring Monohybrid inheritance in human and other organisms transmitted in a Mendalian manner e. Modification of the 3:1 phenotypic ratio (i) Incomplete dominance/semidominance: the phenotype in heterozygotes is intermediate between the 2 homozygotes i.e. when both alleles are equally effective, allelic interaction occurred. Example: Snapdragon -- colour of petals P red (CRCR) Gametes: CR F1 Gametes: CR white (CWCW) CW x all pink(CRCW) x CW CR CW selfing red(CRCR) 1 F2 ratio : pink(CRCW) 2 Phenotypic ratio = genotypic ratio : white(CWCW) 1 頁 6 /14 遺傳學Genetics (ii) 20/04/10 M.T.Yeung Co-dominance : Both members of an allelic pair show an independent effect when heterozygous and both contribute to the phenotype. --- differs from incomplete dominance in that there is no intermediate effect. Example: Human blood group (ABO system) (iii) Multiple Alleles: when the gene exist in 3 allelic forms in a pair of homologous chromosomes. Example: Human blood group (ABO system) 3 allelic forms: IA dominant IB dominant i recessive Genotype IAIA, IAi IBIB, IBi IAIB ii Phenotype (blood gp.) A B AB O Antigen on RBC A B A and B - Antibody in plasma , 2. Dihybrid Inheritance (Dihybrid Cross): a cross between individuals differing in 2 gene pairs. (a) Example: P Phenotype Pure-breeding tall pea plant with coloured flowers x Genotype TTCC Gametes F1 all TC all Genotype Phenotype Gametes F2 Genotype Phenotpye dwarf plant with white flowers ttcc tc TtCc All tall, coloured TC Tc tC T_C_ tall coloured Phenotypic ratio 9 (96) tc x (selfing) T_ cc tall white : 3 (31) TC Tc tC ttC_ dwarf coloured : 3 (34) tc ^ttcc dwarf white : 1 (11) This ratio is only for unlinked genes i.e. genes located in different pairs of chromosomes.) TC Tc tC tc TC TTCC TTCc TtCC TtCc Tc TTCc TTcc TtCc Ttcc tC TtCC TtCc ttCC ttCc tc TtCc Ttcc ttCc ^ttcc 頁 7 /14 遺傳學Genetics (b) 20/04/10 M.T.Yeung Mendel's Second Law (Law of Independent Assortment) When Mendel study the inheritance of 2 characters simultaneously, he draw a conclusion and stated the Mendel's Second Law: each of a pair of contrasted characters may be co-exist (or combine) randomly with either of another pair Modern interpretation: During gamete formation in meiosis, each member of a pair of alleles may combine randomly with any member of another pair of alleles. (Only true for unlinked genes.) e.g. Each of the T or t gene may combine randomly with any of the C or c alleles. Probability for an offspring to be tall : dwarf : coloured flowers : white flowers: Tall & coloured Tall & white : dwarf & coloured (c) : 3/4 3/4 : Ex: 1. Different pairs of factors (alleles) are independent of each other. They assort randomly in the formation of gametes. Mendel’s _____ Law 3/4 1/4 3/4 1/4 x x 3/4 = 2. 9 During gamete formation, the two members of / each pair of factors (alleles) separate and each 1 6 gamete receives on member of each pair of factors (alleles) Mendel’s _____ Law 1/4 = 3/16 1/4 x 3/4 = 3 / Dihybrid Test Cross: 1 = by crossing with a homozygous recessive (ttcc) 6individual. dwarf & white : 1/4 x 1/4 = 1 Tall & coloured : Homozygous (TTCC) /Heterozygous (TtCc) ? / 1 If homozygous (TTCC): 6 P Phenotype ===> Ratio 9tall : 3 :coloured 3:1 = ( 3 : 1 )2 TTCC x dwarf white ttcc Genotype Gametes F1 TC tc Genotype TtCc Phenotype tall and coloured flowers Phenotypic ratio: 1 If heterozygous (TtCc): P Phenotype Genotype Gametes F1 tall coloured TtCc TC Tc tC Genotype TtCc Phenotype tall and coloured flowers Phenotypic ratio 1 : x tc Ttcc tall and white flowers 1 : dwarf white ttcc tc ttCc dwarf and coloured flowers 1 : Conclusion: If the offsprings have 4 phenotypes in the ratio of 1: 1: 1: 1 ==> Parent : heterozygous dominant only 1 phenotype ==> homozygous dominant ttcc dwarf and white flowers 1 頁 8 /14 遺傳學Genetics 20/04/10 M.T.Yeung (d) Single character determined by gene interaction sometimes the 2 gene pairs concerned in dihybrid inheritance may interact to determine a single character e.g. Types of chicken comb (gene interaction can be more complicate that lead to a deviation of 9:3:3:1 ratio e.g. Epistasis and other Polygenic inheritance) The Chi-Square Test In any genetic experiment, how can we decide if our data fits any of the Mendelian ratios we have discussed? A statistical test that can test out ratios is the Chi-Square or Goodness of Fit test. Chi-Square Formula A Chi-Square Table 2 value of various Degrees of Probability Freedom 0.9 0.5 0.1 0.05 0.01 1 0.02 0.46 2.71 3.84 6.64 2 0.21 1.39 4.61 5.99 9.21 Degrees of freedom (df) = n-1 ( where n is the number of classes ) 3 4 By statistical convention, we use the 0.05 probability level as our 5 critical value. If the calculated chi-square value is less than the 0 .05 value (i.e. 2 < 7.82 for df=3 with a probability greater than 0.05), we accept the hypothesis. If the chi-square value is greater than the 0.05 value (i.e. > 7.82 for df=3 with a probability lesser than 0.05), we reject the hypothesis. 0.58 2.37 6.25 7.82 11.35 1.06 3.36 7.78 9.49 13.28 1.61 4.35 9.24 11.07 15.09 accept reject Example: Let's test the following data to determine if it fits a 9:3:3:1 ratio. Class no. Observed Values Expected Values 1 315 Round, Yellow Seed (9/16)(556) = 312.75 Round, Yellow Seed 2 108 Round, Green Seed (3/16)(556) = 104.25 Round, Green Seed 3 101 Wrinkled, Yellow Seed (3/16)(556) = 104.25 Wrinkled, Yellow 4 32 Wrinkled, Green (1/16)(556) = 34.75 Wrinkled, Green ----------- 556 Total Seeds 556.00 Total Seeds Number of classes (n) = 4 ∴ df = n-1 = 4-1 = 3 Chi-square value = 0.47 According to the Chi-Square table at df = 3 , we see the chi-square value =0.47 is smaller than 0.58 (i.e. 2 2 is much smaller than the calculated probability (>0.90) is much greater than 0.05, then we accept the hypothesis that the data fits a 9:3:3:1 ratio. 7.82 ) and the probability is greater than 0.90 (i.e. >0.05 ). Threrefore, because 頁 9 /14 遺傳學Genetics 20/04/10 M.T.Yeung 3. Linkage (a) Linkage group - Each chromosome bear many genes. i.e. The genes are linked on the same chromosome. e.g. Drosophila melanogaster: only 4 pairs of chromosomes, but > 10,000 genes - Chromosomes are inherited as unit and the homologous pair segregates during meiosis. Genes on the same chromosome (linked genes) tend to stay together during gamete formation and will not be assorted independently (NOT follow Mendel's 2nd Law) All the genes present on the same chromosome ==> Linkage Group In general the no. of linkage groups found in a particular species corresponds to the no. of different types of chromosomes (the haploid no.) characteristic of the species. e.g. Maize : 10 pairs of chromosomes ==> 10 different linkage groups. If a linkage group contains a large no. of genes ==> the chromosome is large. If a linkage group contains a small no. of genes ==> the chromosome is small. Example: Linkage in fruitflies P V V x A A long-winged & broad abdomen v v a a vestigial-winged &narrow abdomen Gametes: F1 V A v a long-winged broad abdomen Gametes: (selfing) F2 V A Phenotypic ratio V V v V A A a A long-winged & broad abdomen 3 v a v v a a vestigial-winged & narrow abdomen : 1 頁 10 /14 遺傳學Genetics (b) 20/04/10 M.T.Yeung Crossing-over During linkage, genes in the same chromosome will remain together all the time. However, during meiosis, chromosomes are pairing and undergoing synapsis (in contact with each other at certain points called chiasmata along their length) Homologous chromosomes may exchange entire segments of chromosomal material ===> Crossing-over. By crossing-over, linked genes separated and recombine in another fashion. Example In maize a single 'ear' is covered with several hundreds kernels, each representing a seed/fruit. P C C c c S S s s Coloured Colourless smooth kernels x shrunken kernels Gametes C S c s F1 (Test Cross) C c S s Coloured smooth kernels Gametes C S F2 C c S s Coloured smooth kernels 4032 Ratio c s 48.25% x x C c s S After crossing-over c c s s Colourless shrunken kernels c s c c s s Colourless shrunken kernels 4035 C c s s Coloured shrunken kernels 149 48.25% 1.78% c c S s Colourless smooth kernels 149 1.78% Majority of offspring have same combination of characteristics as parents (parental combination): 48.25% + 48.25% = 96.5% However, in the formation of a small proportion of gametes, there is exchange of segments (crossing over) between the locus of genes. After fertilization, they give rise to new combination of genes (recombination) in the offspring: Significance of Crossing-over (Recombination): allows new kind of genetic recombination --> genetic variation --> evolution 頁 11 /14 遺傳學Genetics 20/04/10 M.T.Yeung 4. Sex Determination In dioecious species, usually 1 pair of chromosome is important to determine the individual's sex ===> Sex Chromosomes chromosomes of a homologous pair are identical in size and shape in all individual of a species ===> Autosomes except sex chromosomes ===> Heterosomes (which are non-identical pair in either sex) In human the 23rd pair is Heterosomes female : 2 X-chromosomes ==> produce only 1 kind of gametes (X-chromosome) ==> homogametic sex male : 1 X-chromosome 1 Y-chromosome ==> 2 kinds of gametes: sperms: X-ch. sperms: Y-ch. ==> heterogametic sex Y-chromosome is smaller and short, not empty, but carries some genes sometimes governs male fertility and maleness(e.g. Drosophila and human), without these genes a female is resulted. Egg (X-chromosome) ----> Zygote (XX) Daughters = 1 : or x Zygote (XY) Sons 1 Sperm (Y-ch. or X-ch.) 頁 12 /14 遺傳學Genetics 5. 20/04/10 M.T.Yeung Sex-linkage (Inheritance related to sex) Y-chromosome: X-chromosome: contains only a few genes concerning with maleness. contains many genes for other traits other than those determining sex. Sex-linked genes: genes located in sex-(X)chromosome ==> inherited together with sex chromosome. Examples: (a) Sex linkage in Drosophila (The Inheritance of Eye-colour) In Drosophila, ~ 140 genes are sex-linked e.g. eye-colour (red eye dominant over white eye) (Morgan的果蠅實驗—性染色體與遺傳特徵間的關係) a red-eyed fly cross with a white-eyed fly Results depends on which parent is red and which is white (i.e. depends on sex.) i. If the father is white-eyed: P phenotype genotype red-eyed female X+ X+ white-eyed male XwY X+ gametes F1 genotype phenotype ratio x Xw X+X+ red-eyed female 1 Y X+Y red-eyed male 1 : ii. If the father is red-eyed: P phenotype genotype gametes F1 genotype phenotype ratio white-eyed female XwXw x Xw XwX+ red-eyed female 1 red-eyed male X+Y X+ : Y XwY white-eyed male 1 female : carries 2 genes, either homozygous (X+X+, XwXw) or heterozygous (X+Xw). male : having only 1 gene for any sex-linked trait, cannot be either homozygous or heterozygous, but is termed hemizygous (X+ , Xw). [C.f. reciprocal cross = A cross, with the phenotype of each sex reversed as compared with the original cross, to test the role of parental sex on inheritance pattern. A pair of crosses of the type genotype A(female) X genotype B(male) and genotype B(female) X genotype A(male).] 頁 13 /14 遺傳學Genetics b) 20/04/10 M.T.Yeung Sex linkage in man - > 50 sex-linked traits : most are recessive sex-linked genes e.g. haemophilia, red-green colour blindness trait. Examples: i. Red-green colour blindness P phenotype genotype colour-blinded male Xc Y Xc gametes x XC Y XCY normal male F1 genotype phenotype normal female XC XC XC XC Xc normal female (carrier of the defected gene) If one of the daughters (carrier) marries a normal man: F1 phenotype genotype gametes F2 genotypes phenotype normal male XCY XC normal female (carrier of the defected gene) XC Xc XC Y XC XC XCY normal female and male Xc Xc XC normal female (carrier) XcY colour-blinded male Red-green color blindness is more common in men than in women: affects 4% human male, but < 1% female. ii. Haemophilia: deficiency in formation of thromboplastin blood difficult to clot properly. P phenotype genotype normal male x X+Y X+ gametes F1 genotype phenotype ratio normal female, but carrier X+Xh X+ Y X+Y X+X+ normal male and female 1 : 1 : Xh XhX+ normal female (carrier) 1 : XhY male with haemoplilia 1 頁 14 /14 遺傳學Genetics 20/04/10 M.T.Yeung C. Continuous Variation (Quantitative Inheritance) - the variation in a quality between individuals of the same species where there is a gradual transition between the two extremes of the quality - quantitative variations: measurable characters e.g. size, height etc. - difficult to analyze genetically - phenotypic range appeared to be continuous. - most measurable characters follow a normal distribution curve ranging from low to high values but without sharp separation in values between the many classes within the range. 1. Normal Distribution Curve mean Frequency decreases with value Frequency decreases with value Standard deviation: 2. Explanation / Causes for Continuous Variation i. Polygene: genes with a small effect on a particular character that can supplement each other to produce observable quantitative changes. ---> Phenotype is the sum total of the -ve and +ve effects of individual genes (Polygenic Inheritance) ii. 3. refers to the departures from the mean. Environmental Effects - produce modifications in the expected phenotypes (quantitative variation), but has no effect on discontinuous variation. - As environmental effects , a greater variety of phenotypes are formed ---> normally distributed. - Not inherited -- acquiring such variation cannot change the gene. Examples: i. Skin pigmentation in human: quantitative characteristics : from light ---> dark (exclude albino.) - influenced by polygenes & environment sun bath white man -----------> dark ii. Identical twins brought up under different social & educational background ---> different I.Q. iii. 2 boys grown up under different environment If well-fed If unfed Genetically tall boy tall short Genetically short boy short even shorter