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Chapter 14: Mendel & The Gene Idea
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The History of Your Inheritance
Identify one or two physical characteristics that seem to be found in most of your family members. Why do you think these particular characteristics are so common? Are there some inherited characteristics that you have that your parents do not? Do you have any characteristics that are unique to you?
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Character vs. Trait Some people use these two words synonymously, when they are, in fact, different. Characteristic (Character) a heritable feature that varies among individuals (e.g.eye colour, flower colour, etc.) Trait Each variant of a characteristic (e.g. blue vs. brown eyes, purple vs. white flowers)
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Gregor Mendel Modern genetics began in the mid-1800s, when monk named Gregor Mendel documented inheritance in peas used quantitative analysis collected data & counted them excellent example of scientific method Developed his theory decades before chromosomes were observed under the microscope! He studied at the University of Vienna from 1851 to 1853 where he was influenced by a physicist who encouraged experimentation and the application of mathematics to science and a botanist who aroused Mendel’s interest in the causes of variation in plants. After the university, Mendel taught at the Brunn Modern School and lived in the local monastery. The monks at this monastery had a long tradition of interest in the breeding of plants, including peas. Around 1857, Mendel began breeding garden peas to study inheritance.
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Why the Pea? Reason 1 Peas are available in many varieties, each with easily distinguishable characteristics and traits These varieties are easy to count
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Pea Plant Anatomy Stamen: male organ Carpel: female organ
Where pollen (male gametes) produced Sticky structure that receives pollen during fertilization anther stamen filament stigma style carpel ovules in ovary Female gametes
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Why the Pea? Reason 2 Can strictly control which plants mated with which
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Mendel started with True-breeding Plants
are those that produce offspring that are of the same variety when they self-pollinate E.g. a plant with purple flowers is true-breeding if the seeds produced by self-pollination all give rise to plants that also have purple flowers
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Mendel’s work Bred pea plants P F1 F2
Pollen transferred from white flower to stigma of purple flower Bred pea plants cross-pollinate true breeding parents (P) P = parental raised seed & then observed traits (F1) F = filial allowed offspring to self-pollinate & observed next generation (F2) P anthers removed all purple flowers result F1 P = parents F = filial generation self-pollinate F2
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Looking closer at Mendel’s work
true-breeding purple-flower peas true-breeding white-flower peas Hybridization! X P Where did the white flowers go? 100% F1 generation (hybrids) purple-flower peas In a typical breeding experiment, Mendel would cross-pollinate (hybridize) two contrasting, true-breeding pea varieties. The true-breeding parents are the P generation and their hybrid offspring are the F1 generation. Mendel would then allow the F1 hybrids to self-pollinate to produce an F2 generation. White flowers came back! self-pollinate F2 generation 3:1 75% purple-flower peas 25% white-flower peas
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What did Mendel’s findings mean?
Traits come in alternative versions purple vs. white flower color alleles different alleles vary in the sequence of nucleotides at the specific locus of a gene some difference in sequence of A, T, C, G purple-flower allele & white-flower allele are two DNA variations at flower-color locus different versions of gene at same location on homologous chromosomes
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Traits are inherited as discrete units
For each characteristic, an organism inherits 2 alleles, 1 from each parent diploid organisms inherit 2 sets of chromosomes, 1 from each parent homologous chromosomes Key Maternal set of chromosomes (n = 3) 2n = 6 Paternal set of chromosomes (n = 3) Pair of homologous chromosomes (one from each set)
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What did Mendel’s findings mean?
Some traits mask others purple & white flower colors are separate traits that do not blend purple x white ≠ light purple purple masked white dominant allele functional protein masks other alleles recessive allele allele makes a malfunctioning protein I’ll speak for both of us! maternal paternal wild type allele producing functional protein mutant allele producing malfunctioning protein homologous chromosomes
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Genotype vs. phenotype Difference between how an organism “looks” & its genetics phenotype description of an organism’s trait the “physical” genotype description of an organism’s genetic makeup F1 P X purple white all purple Explain Mendel’s results using …dominant & recessive …phenotype & genotype
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PP pp Pp Making crosses x Can represent alleles as letters
flower color alleles P or p true-breeding purple-flower peas PP true-breeding white-flower peas pp F1 P X purple white all purple PP x pp Why is the F1 all purple pea plant not PP? Pp
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Looking closer at Mendel’s work
true-breeding purple-flower peas true-breeding white-flower peas X phenotype P PP pp genotype 100% F1 generation (hybrids) purple-flower peas In a typical breeding experiment, Mendel would cross-pollinate (hybridize) two contrasting, true-breeding pea varieties. The true-breeding parents are the P generation and their hybrid offspring are the F1 generation. Mendel would then allow the F1 hybrids to self-pollinate to produce an F2 generation. Pp Pp Pp Pp self-pollinate Pp x Pp 75% purple-flower peas 25% white-flower peas 3:1 F2 generation ? ? ? ?
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Punnett squares Pp x Pp F1 P p PP Pp P p PP Pp Pp Pp pp pp
Aaaaah, phenotype & genotype can have different ratios Pp x Pp F1 generation (hybrids) % genotype % phenotype P p male / sperm PP 25% 75% Pp 50% P p female / eggs PP Pp Pp Pp pp 25% 25% pp 1:2:1 3:1
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Genotypes Homozygous = same alleles = PP, pp
Heterozygous = different alleles = Pp homozygous dominant heterozygous homozygous recessive
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Phenotype vs. genotype 2 organisms can have the same phenotype but have different genotypes homozygous dominant PP purple Pp heterozygous purple Can’t tell by lookin’ at ya! How do you determine the genotype of an individual with with a dominant phenotype?
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Test cross Breed the dominant phenotype — the unknown genotype — with a homozygous recessive (pp) to determine the identity of the unknown allele x How does that work? is it PP or Pp? pp
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How does a Test cross work?
x x Am I this? Or am I this? PP pp Pp pp p p p p P P Pp Pp Pp Pp P p Pp Pp pp pp 100% purple 50% purple:50% white or 1:1
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Mendel’s 1st law of heredity
PP P Law of segregation during gamete formation, alleles segregate homologous chromosomes separate during meiosis each allele for a trait is packaged into a separate gamete pp p Pp P p
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Whoa! And Mendel didn’t even know DNA or genes existed!
Law of Segregation Which stage of meiosis creates the law of segregation? Metaphase 1 Whoa! And Mendel didn’t even know DNA or genes existed!
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Chapter 14 Probability & Genetics
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Genetics & Probability
Mendel’s laws reflect same laws of probability that apply to tossing coins or rolling dice
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Probability & genetics
Calculating probability of making a specific gamete is just like calculating the probability in flipping a coin probability of tossing heads? 50% probability making a P gamete… Pp P p 50% PP P 100%
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Probability & genetics
Outcome of 1 toss has no impact on the outcome of the next toss (i.e. they are independent events!) probability of tossing heads each time? probability making a P gamete each time? 50% Pp P p 50%
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Calculating probability
Pp x Pp sperm egg offspring P PP 1/2 x 1/2 = 1/4 P p male / sperm P p Pp 1/2 x 1/2 = 1/4 P p female / eggs PP Pp p P Pp 1/2 x 1/2 = 1/4 Pp pp p pp 1/2 x 1/2 = 1/4
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Rule of multiplication (AND)
Chance that 2 or more independent events will occur together (AND) probability that 2 coins tossed at the same time will land heads up probability of Pp x Pp pp 1/2 x 1/2 = 1/4 1/2 x 1/2 = 1/4
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Rule of addition (OR) Chance that an event can occur 2 OR more different ways sum of the separate probabilities probability of Pp x Pp Pp sperm egg 1/2 offspring = x 1/4 P p Pp 1/4 + 1/2
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Sample Problem In humans the allele for albinism is recessive to the allele for normal skin pigmentation. If two heterozygotes have children, (a) What is the genotypic and phenotypic ratios for their offspring? (b) What is the chance that a child will have normal skin pigment? (c) What is the chance that the child will be albino?
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Solution (a) Aa x Aa A (1/2) a (1/2) AA A (1/2) a AA Aa Aa Aa Aa aa aa
Let A be dominant allele for normal skin pigmentation, let a be the recessive allele for albinism Aa x Aa % genotype % phenotype A (1/2) a (1/2) sperm 25% or 1/4 75% or 3/4 AA A (1/2) a eggs 50% or 1/2 AA (1/2 x 1/2 =1/4) Aa Aa (1/2 x 1/2 =1/4) Aa Aa (1/2 x 1/2 =1/4) aa (1/2 x 1/2 =1/4) 25% or 1/4 25% or 1/4 aa 1:2:1 3:1
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Solution (b) and (c) Aa x Aa A (1/2) a (1/2) A (1/2) a AA Aa Aa aa
Let A be dominant allele for normal skin pigmentation, let a be the recessive allele for albinism Aa x Aa Chances that the child will have normal skin pigmentation (i.e. they must be AA OR Aa OR Aa): Chance of AA + Chance of Aa = 1/4 + 1/4 + 1/4 = 3/4 or 75% Chances that the child will be albino (i.e. they must have aa genotype) Chance of aa = 1/4 A (1/2) a (1/2) sperm A (1/2) a eggs AA (1/2 x 1/2 =1/4) Aa (1/2 x 1/2 =1/4) Aa (1/2 x 1/2 =1/4) aa (1/2 x 1/2 =1/4)
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Challenge: A (1/2) a (1/2) A (1/2) a AA Aa Aa aa
If the child is normal, what is the chance that it is a carrier for the albino allele? Normal individuals are either AA or Aa For it to be a carrier, it must have Aa genotype: 2/3 or 67% A (1/2) a (1/2) sperm A (1/2) a eggs AA (1/2 x 1/2 =1/4) Aa (1/2 x 1/2 =1/4) Aa (1/2 x 1/2 =1/4) aa (1/2 x 1/2 =1/4)
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Any Questions?
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Practice Pg. 135 # 1-9, 13, 16 Worksheet
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