Title: Patterns of Inheritance
1Patterns of Inheritance
What patterns can be observed when traits are
passed to the next generation?
2Use of the Garden Pea for Genetics Experiments
3Principles of Heredity
Mendels Experiment with Peas
4Principles of Heredity
- Mendel needed to explain
- Why one trait seemed to disappear in the first
generation. - 2. Why the same trait reappeared in the second
generation in one-fourth of the offspring.
5Principles of Heredity
- Mendel proposed
- Each trait is governed by two factors now
called genes. - 2. Genes are found in alternative forms called
alleles. - 3. Some alleles are dominant and mask alleles
that are recessive.
6Principles of Heredity
Homozygous Dominant
Homozygous Recessive
Heterozygous
7Homozygous parents can only pass one form of an
allele to their offspring.
8Heterozygous parents can pass either of two
forms of an allele to their offspring.
R
r
R
r
9Principles of Heredity
Additional Genetic Terms Genotype alleles
carried by an individual eg. RR, Rr,
rr Phenotype physical characteristic or
appearance of an individual
eg. Round, wrinkled
10Mendels Principle of Genetic Segregation
- In the formation of gametes, the members of a
pair of alleles separate (or segregate) cleanly
from each other so that only one member is
included in each gamete. - Each gamete has an equal probability of
containing either member of the allele pair.
11Genetic Segregation
Parentals RR x rr
F1 x F1 Rr x Rr
R R r r
R r R r
½ R ½ r
r r
¼ RR
¼ Rr
R R
½ R ½ r
Rr
Rr
¼ Rr
¼ rr
Rr
Rr
12Genetic Segregation
Genotypic Ratio ¼ RR ½ Rr ¼ rr Phenotypic
Ratio ¾ Round ¼ Wrinkled
13Seven Traits used by Mendel in Genetic Studies
14What Is a Gene?
- A gene is a segment of DNA that directs the
synthesis of a specific protein. - DNA is transcribed into RNA which is translated
into protein.
15Molecular Basis for Dominant and Recessive Alleles
16Principles of Heredity
Mendels Experiment with Peas
17Principles of Heredity
- Mendel needed to explain
- Why non-parental combinations appeared in the F2
offspring. - 2. Why the ratio of phenotypes in the F2
generation was 9331.
18Mendels Principle of Independent Assortment
- When gametes are formed, the alleles of one gene
segregate independently of the alleles of another
gene producing equal proportions of all possible
gamete types.
19Genetic Segregation Independent Assortment
Parentals RRYY x rryy
ry
RrYy
RY
20F1 x F1 RrYy x RrYy
RY Ry rY ry RY Ry rY ry
¼ RY ¼ Ry ¼ rY ¼ ry
1/16 RRYY
1/16 RRYy
1/16 RrYY
1/16 RrYy
¼ RY ¼ Ry ¼ rY ¼ ry
1/16 RRYy
1/16 RRyy
1/16 RrYy
1/16 Rryy
1/16 RrYY
1/16 RrYy
1/16 rrYY
1/16 rrYy
1/16 RrYy
1/16 Rryy
1/16 rrYy
1/16 rryy
21F2 Genotypes and Phenotypes
22Meiotic Segregation explains Independent
Assortment
23Solving Genetics Problems
- Convert parental phenotypes to genotypes
- Use Punnett Square to determine genotypes of
offspring - Convert offspring genotypes to phenotypes
24Using Probability in Genetic Analysis
1. Probability (P) of an event (E) occurring
P(E) Number of ways that event E can occur
Total number of possible outcomes
Eg. P(Rr) from cross Rr x Rr 2 ways to get
Rr genotype 4 possible outcomes
P(Rr) 2/4 1/2
25Using Probability in Genetic Analysis
- 2. Addition Rule of Probability used in an
either/or situation -
-
P(E1 or E2) P(E1) P(E2)
Eg. P(Rr or RR) from cross Rr x Rr
2 ways to get Rr genotype
1 way to get RR genotype
4 possible outcomes P(Rr or RR)
2/4 1/4 3/4
26Using Probability in Genetic Analysis
- 3. Multiplication Rule of Probability used in
an and situation -
-
-
P(E1 and E2) P(E1) X P(E2)
Eg. P(wrinkled, yellow) from cross RrYy x RrYy
P(rr and Y_) 1/4 x 3/4 3/16
27Using Probability in Genetic Analysis
- 4. Conditional Probability Calculating the
probability that each individual has a particular
genotype -
-
Eg. Jack and Jill do not have PKU. Each has a
sibling with the disease. What is the probability
that Jack and Jill will have a child with PKU?
28Using Probability in Genetic Analysis
- 4. Conditional Probability
- Jack is P_, Jill is P_
- Parents of Jack or Jill Pp x Pp
P(Pp) 2 ways to get Pp 3 possible
genotypes P(Jack is Pp) 2/3 P (Jill is Pp)
2/3
X
29Using Probability in Genetic Analysis
- 4. Conditional Probability
- P(child with PKU)
-
P(Jack is Pp) x P(Jill is Pp) x P(child is pp)
2/3 x 2/3 x 1/4 1/9
P(child without PKU) 1-1/9 8/9
30Using Probability in Genetic Analysis
To calculate probability of child without PKU,
look at all possibilities for Jack and Jill.
31Using Probability in Genetic Analysis
- 5. Ordered Events use Multiplication Rule
For Jack and Jill, what is the probability that
the first child will have PKU, the second child
will not have PKU and the third child will have
PKU?
P(pp) x P(P_) x P(pp) 1/9 x 8/9 x 1/9
8/729
32Using Probability in Genetic Analysis
- 6. Binomial Rule of Probability used for
unordered events -
P n! (asbt) s! t!
a probability of event X (occurrence of one
event) b probability of event Y 1-a
(occurrence of alternate event) n total s
number of times event X occurst number of
times event Y occurs (s t n)
33Using Probability in Genetic Analysis
- 6. Binomial Rule of Probability! factorial
number multiplied by each lower number
until reaching 1 - 5! 5 x 4 x 3 x 2 x 1 1! 1
- 3! 3 x 2 x 1 3 x 2! 0! 12!
2 x 1
34Using Probability in Genetic Analysis
- 6. Binomial Rule of Probability
- Out of 3 children born to Jack and Jill,
what is the probability that 2 will have PKU?
n3, a1/9, s2, b8/9, t1
3! (1/9)2(8/9)1 3 x 2! (1/81) (8/9) 24 2!
1! 2! 1!
729
35Using Probability in Genetic Analysis
- The same result can be obtained using the
multiplicative rule if all possible birth orders
for families of three are considered
8/729 8/729 8/729 24/729
36Chi-Square Goodness of Fit Test
To evaluate how well data fits an expected
genetic ratio
37Chi-square Test for Goodness of Fit for 9331
Ratio
9/16 x 556 313
2
4
.0128
4
16
3/16 x 556 104
.154
9
3/16 x 556 104
-3
.087
1/16 x 556 35
-3
9
.257
X2 .511
dfdegrees of freedom number of phenotypes 1
4-13 p value from table on page 1-17 pgt.5
from table in Pierce .975 gt p gt.9 Data
supports hypothesis for any pgt0.05
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39Sex Determination
- Sex Chromosomes homologous chromosomes that
differ in size and genetic composition between
males and females
40Sex Determination
-
- Autosome any chromosome that is not a sex
chromosome - Humans have 22 pairs of autosomesand 1 pair of
sex chromosomes
41Human Karyotype showing homologous chromosome
pairs
42Sex Determination
Female Male XX x XY
½ X ½ X
¼ XX
¼ XX
½ X ½ Y
¼ XY
¼ XY
Phenotypic Ratio of Offspring ½ Female ½ Male
43X-linked Genes
Hemophilic Male Non-hemophilic
Female
(father is hemophilic)
XhY x XHXh
½ XH ½ Xh
¼ XHXh
¼ XhXh
½ Xh ½ Y
¼ XHY
¼ XhY
Phenotypic Ratio of Offspring ¼ hemophilic males
¼ non-hemophilic males ¼ hemophilic females ¼
non-hemophilic females
44Terms Specific toSex-linked Genes
45Patterns of Inheritance
- Autosomal Dominant
- Autosomal Recessive
- X-linked Dominant
- X-linked Recessive
- Y-Linked Inheritance
46Pedigree for Huntingtons Disease, an Autosomal
Dominant Trait
47Pedigree for Albinism, an Autosomal Recessive
Trait
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49Pedigree for Colorblindness, an X-linked
Recessive Trait