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LECTURE 7: MENDEL’S LAW OF
INHERITANCE
• Introduction to Genetics and heredity
• Gregor Mendel – a brief bio
• Genetic terminology (glossary)
• Monohybrid crosses
• Patterns of inheritance
• Dihybrid crosses
• Test cross
• Beyond Mendelian Genetics – incomplete dominance
Introduction to Genetics
• GENETICS – branch of biology that deals
with heredity and variation of organisms.
• Chromosomes carry the hereditary
information (genes)
• Arrangement of nucleotides in DNA
• DNA  RNA  Proteins
• Chromosomes (and genes) occur in pairs
Homologous Chromosomes
• New combinations of genes occur in sexual
reproduction
– Fertilization from two parents
Gregor Johann Mendel
• Austrian Monk, born in what is now Czech Republic in
1822
• Son of peasant farmer, studied
Theology and was ordained
priest Order St. Augustine.
• Went to the university of Vienna, where he
studied botany and learned the Scientific Method
• Worked with pure lines of peas for eight years
• Prior to Mendel, heredity was regarded as a "blending"
process and the offspring were essentially a "dilution"of
the different parental characteristics.
Mendel’s peas
• Mendel looked at seven traits or characteristics of
pea plants:
• In 1866 he published Experiments in Plant
Hybridization, (Versuche über Pflanzen-
Hybriden) in which he established his three
Principles of Inheritance
• He tried to repeat his work
in another plant, but didn’t
work because the plant
reproduced asexually!
• Work was largely ignored for
34 years, until 1900, when
3 independent botanists
rediscovered Mendel’s work.
• Mendel was the first biologist to use
Mathematics – to explain his results
quantitatively.
• Mendel predicted
The concept of genes
That genes occur in pairs
That one gene of each pair is
present in the gametes
Genetics terms you need to know:
• Gene – a unit of heredity;
a section of DNA sequence
encoding a single protein
• Genome – the entire set
of genes in an organism
• Alleles – two genes that occupy the same position
on homologous chromosomes and that cover the
same trait (like ‘flavors’ of a trait).
• Locus – a fixed location on a strand of DNA
where a gene or one of its alleles is located.
• Homozygous – having identical genes (one from
each parent) for a particular characteristic.
• Heterozygous – having two different genes for a
particular characteristic.
• Dominant – the allele of a gene that masks or
suppresses the expression of an alternate allele;
the trait appears in the heterozygous condition.
• Recessive – an allele that is masked by a
dominant allele; does not appear in the
heterozygous condition, only in homozygous.
• Genotype – the genetic makeup of an organisms
• Phenotype – the physical appearance
of an organism (Genotype + environment)
• Monohybrid cross: a genetic cross involving a
single pair of genes (one trait); parents differ by a
single trait.
• P = Parental generation
• F1 = First filial generation; offspring from a
genetic cross.
• F2 = Second filial generation of a genetic cross
Monohybrid cross
• Parents differ by a single trait.
• Crossing two pea plants that differ in stem size,
one tall one short
T = allele for Tall
t = allele for dwarf
TT = homozygous tall plant
t t = homozygous dwarf plant
T T  t t
Monohybrid cross for stem length:
T T  t t
(tall) (dwarf)
P = parentals
true breeding,
homozygous plants:
F1 generation
is heterozygous:
T t
(all tall plants)
Punnett square
• A useful tool to do genetic crosses
• For a monohybrid cross, you need a square divided by
four….
• Looks like
a window
pane…
We use the
Punnett square
to predict the
genotypes and phenotypes of
the offspring.
Using a Punnett Square
STEPS:
1. determine the genotypes of the parent organisms
2. write down your "cross" (mating)
3. draw a p-square
Parent genotypes:
TT and t t
Cross
T T  t t
Punnett square
4. "split" the letters of the genotype for each parent & put
them "outside" the p-square
5. determine the possible genotypes of the offspring by filling
in the p-square
6. summarize results (genotypes & phenotypes of offspring)
T t T t
T t T t
T T
t
t
Genotypes:
100% T t
Phenotypes:
100% Tall plants
T T  t t
Monohybrid cross: F2 generation
• If you let the F1 generation self-fertilize, the next
monohybrid cross would be:
T t  T t
(tall) (tall)
T T T t
T t t t
T t
T
t
Genotypes:
1 TT= Tall
2 Tt = Tall
1 tt = dwarf
Genotypic ratio= 1:2:1
Phenotype:
3 Tall
1 dwarf
Phenotypic ratio= 3:1
Secret of the Punnett Square
• Key to the Punnett Square:
• Determine the gametes of each parent…
• How? By “splitting” the genotypes of each parent:
If this is your cross T T  t t
T T t t
The gametes are:
Once you have the gametes…
T T t t
T t T t
T t T t

T
T
t t
Shortcut for Punnett Square…
• You only need one box!
T T t t

T
t Genotypes:
100% T t
Phenotypes:
100% Tall plants
• If either parent is HOMOZYGOUS
T t
Understanding the shortcut…
T
t
T t T t
T t T t
T
T
t t
=
Genotypes:
100% T t
Phenotypes:
100% Tall plants
T t
If you have another cross…
• A heterozygous with a homozygous
T t t t

T
t
t
T t
t t
Genotypes:
50% T t
50 % t t
Phenotypes:
50% Tall plants
50% Dwarf plants
You can
still use the
shortcut!
Another example: Flower color
For example, flower color:
P = purple (dominant)
p = white (recessive)
If you cross a homozygous Purple (PP) with a
homozygous white (pp):

P P p p
P p ALL PURPLE (Pp)
Cross the F1 generation:
P p P p

P P P p
P p p p
P
p
P p
Genotypes:
1 PP
2 Pp
1 pp
Phenotypes:
3 Purple
1 White
Mendel’s Principles
• 1. Principle of Dominance:
One allele masked another, one allele was
dominant over the other in the F1 generation.
• 2. Principle of Segregation:
When gametes are formed, the pairs of
hereditary factors (genes) become separated,
so that each sex cell (egg/sperm) receives
only one kind of gene.
Human case: CF
• Mendel’s Principles of Heredity apply universally
to all organisms.
• Cystic Fibrosis: a lethal genetic disease affecting
Caucasians.
• Caused by mutant recessive gene carried by 1 in
20 people of European descent (12M)
• One in 400 Caucasian couples will be both
carriers of CF – 1 in 4 children will have it.
• CF disease affects transport
in tissues – mucus is accumulated
in lungs, causing infections.
Inheritance pattern of CF
IF two parents carry the recessive gene of
Cystic Fibrosis (c), that is, they are
heterozygous (C c), one in four of their
children is expected to be homozygous for
cf and have the disease:
C C C c
C c c c
C c
C
c
C C = normal
C c = carrier, no symptoms
c c = has cystic fibrosis
Probabilities…
• Of course, the 1 in 4 probability of getting the
disease is just an expectation, and in reality,
any two carriers may have normal children.
• However, the greatest probability is for 1 in 4
children to be affected.
• Important factor when prospective parents are
concerned about their chances of having
affected children.
• Now, 1 in 29 Americans is a symptom-less
carrier (Cf cf) of the gene.
Gaucher Disease
• Gaucher Disease is a rare, genetic disease. It
causes lipid-storage disorder (lipids accumulate in
spleen, liver, bone marrow)
• It is the most common genetic disease affecting
Jewish people of Eastern European ancestry
(1 in 500 incidence; rest of pop. 1 in 100,000)
Dihybrid crosses
• Matings that involve parents that differ in two
genes (two independent traits)
For example, flower color:
P = purple (dominant)
p = white (recessive)
and stem length:
T = tall t = short
Dihybrid cross: flower color and
stem length
TT PP  tt pp
(tall, purple) (short, white)
Possible Gametes for parents
T P and t p
F1 Generation: All tall, purple flowers (Tt Pp)
TtPp TtPp TtPp TtPp
TtPp TtPp TtPp TtPp
TtPp TtPp TtPp TtPp
TtPp TtPp TtPp TtPp
tp tp tp tp
TP
TP
TP
TP
Dihybrid cross: flower color and
stem length (shortcut)
TT PP  tt pp
(tall, purple) (short, white)
Possible Gametes for parents
F1 Generation: All tall, purple flowers (Tt Pp)
T t P p
T P t p
T P
t p
Dihybrid cross F2
If F1 generation is allowed to self pollinate,
Mendel observed 4 phenotypes:
Tt Pp  Tt Pp
(tall, purple) (tall, purple)
Possible gametes:
TP Tp tP tp
Four phenotypes observed
Tall, purple (9); Tall, white (3); Short, purple (3); Short white (1)
TTPP TTPp TtPP TtPp
TTPp TTpp TtPp Ttpp
TtPP TtPp ttPP ttPp
TtPp Ttpp ttPp ttpp
TP Tp tP tp
TP
Tp
tP
tp
Dihybrid cross
9 Tall purple
3 Tall white
3 Short purple
1 Short white
TTPP TTPp TtPP TtPp
TTPp TTpp TtPp Ttpp
TtPP TtPp ttPP ttPp
TtPp Ttpp ttPp ttpp
TP Tp tP tp
TP
Tp
tP
tp
Phenotype Ratio = 9:3:3:1
Genotype ratios (9): Four Phenotypes:
1 TTPP
2 TTPp
2 TtPP
4 TtPp
1 TTpp
2 Ttpp
1 ttPP
2 ttPp
1 ttpp
Dihybrid cross: 9 genotypes
Tall, purple (9)
Tall, white (3)
Short, purple (3)
Short, white (1)
Principle of Independent Assortment
• Based on these results, Mendel postulated the
3. Principle of Independent Assortment:
“Members of one gene pair segregate
independently from other gene pairs during
gamete formation”
Genes get shuffled – these many combinations are
one of the advantages of sexual reproduction
Relation of gene segregation to
meiosis…
• There’s a correlation between the movement
of chromosomes in meiosis and the
segregation of alleles that occurs in meiosis
Test cross
When you have an individual with an unknown
genotype, you do a test cross.
Test cross: Cross with a homozygous recessive
individual.
For example, a plant with purple flowers can
either be PP or Pp… therefore, you cross the
plant with a pp (white flowers, homozygous
recessive)
P ?  pp
Test cross
• If you get all 100% purple flowers, then the
unknown parent was PP…
P p P p
P p P p
P P
p
p
P p p p
P p p p
P p
p
p
•If you get 50% white,
50% purple flowers,
then the unknown
parent was Pp…
Dihybrid test cross??
If you had a tall, purple plant, how would you
know what genotype it is?

tt pp
?? ??
1. TTPP
2. TTPp
3. TtPP
4. TtPp
Beyond Mendelian Genetics:
Incomplete Dominance
Mendel was lucky!
Traits he chose in the
pea plant showed up
very clearly…
One allele was dominant over another, so
phenotypes were easy to recognize.
But sometimes phenotypes are not very
obvious…
Incomplete Dominance
Snapdragon flowers come in many colors.
If you cross a red snapdragon (RR) with a white
snapdragon (rr)
You get PINK flowers (Rr)!
R R
R r
r r

Genes show incomplete dominance
when the heterozygous phenotype
is intermediate.
Incomplete dominance
Incomplete Dominance
When F1 generation (all pink flowers) is self
pollinated, the F2 generation is 1:2:1
red, pink, white
R R R r
R r r r
R r
R
r
What happens if you cross a pink with a white?
Incomplete dominance


A pink with a red?
Summary of Genetics
• Chromosomes carry hereditary info (genes)
• Chromosomes (and genes) occur in pairs
• New combinations of genes occur in sexual
reproduction
• Monohybrid vs. Dihybrid crosses
• Mendel’s Principles:
– Dominance: one allele masks another
– Segregation: genes become separated in gamete formation
– Independent Assortment: Members of one gene pair
segregate independently from other gene pairs during gamete
formation

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Mendel's Laws of Inheritance: Monohybrid and Dihybrid Crosses

  • 1. LECTURE 7: MENDEL’S LAW OF INHERITANCE • Introduction to Genetics and heredity • Gregor Mendel – a brief bio • Genetic terminology (glossary) • Monohybrid crosses • Patterns of inheritance • Dihybrid crosses • Test cross • Beyond Mendelian Genetics – incomplete dominance
  • 2. Introduction to Genetics • GENETICS – branch of biology that deals with heredity and variation of organisms. • Chromosomes carry the hereditary information (genes) • Arrangement of nucleotides in DNA • DNA  RNA  Proteins
  • 3. • Chromosomes (and genes) occur in pairs Homologous Chromosomes • New combinations of genes occur in sexual reproduction – Fertilization from two parents
  • 4. Gregor Johann Mendel • Austrian Monk, born in what is now Czech Republic in 1822 • Son of peasant farmer, studied Theology and was ordained priest Order St. Augustine. • Went to the university of Vienna, where he studied botany and learned the Scientific Method • Worked with pure lines of peas for eight years • Prior to Mendel, heredity was regarded as a "blending" process and the offspring were essentially a "dilution"of the different parental characteristics.
  • 5. Mendel’s peas • Mendel looked at seven traits or characteristics of pea plants:
  • 6. • In 1866 he published Experiments in Plant Hybridization, (Versuche über Pflanzen- Hybriden) in which he established his three Principles of Inheritance • He tried to repeat his work in another plant, but didn’t work because the plant reproduced asexually! • Work was largely ignored for 34 years, until 1900, when 3 independent botanists rediscovered Mendel’s work.
  • 7. • Mendel was the first biologist to use Mathematics – to explain his results quantitatively. • Mendel predicted The concept of genes That genes occur in pairs That one gene of each pair is present in the gametes
  • 8. Genetics terms you need to know: • Gene – a unit of heredity; a section of DNA sequence encoding a single protein • Genome – the entire set of genes in an organism • Alleles – two genes that occupy the same position on homologous chromosomes and that cover the same trait (like ‘flavors’ of a trait). • Locus – a fixed location on a strand of DNA where a gene or one of its alleles is located.
  • 9. • Homozygous – having identical genes (one from each parent) for a particular characteristic. • Heterozygous – having two different genes for a particular characteristic. • Dominant – the allele of a gene that masks or suppresses the expression of an alternate allele; the trait appears in the heterozygous condition. • Recessive – an allele that is masked by a dominant allele; does not appear in the heterozygous condition, only in homozygous.
  • 10. • Genotype – the genetic makeup of an organisms • Phenotype – the physical appearance of an organism (Genotype + environment) • Monohybrid cross: a genetic cross involving a single pair of genes (one trait); parents differ by a single trait. • P = Parental generation • F1 = First filial generation; offspring from a genetic cross. • F2 = Second filial generation of a genetic cross
  • 11.
  • 12. Monohybrid cross • Parents differ by a single trait. • Crossing two pea plants that differ in stem size, one tall one short T = allele for Tall t = allele for dwarf TT = homozygous tall plant t t = homozygous dwarf plant T T  t t
  • 13. Monohybrid cross for stem length: T T  t t (tall) (dwarf) P = parentals true breeding, homozygous plants: F1 generation is heterozygous: T t (all tall plants)
  • 14. Punnett square • A useful tool to do genetic crosses • For a monohybrid cross, you need a square divided by four…. • Looks like a window pane… We use the Punnett square to predict the genotypes and phenotypes of the offspring.
  • 15. Using a Punnett Square STEPS: 1. determine the genotypes of the parent organisms 2. write down your "cross" (mating) 3. draw a p-square Parent genotypes: TT and t t Cross T T  t t
  • 16. Punnett square 4. "split" the letters of the genotype for each parent & put them "outside" the p-square 5. determine the possible genotypes of the offspring by filling in the p-square 6. summarize results (genotypes & phenotypes of offspring) T t T t T t T t T T t t Genotypes: 100% T t Phenotypes: 100% Tall plants T T  t t
  • 17. Monohybrid cross: F2 generation • If you let the F1 generation self-fertilize, the next monohybrid cross would be: T t  T t (tall) (tall) T T T t T t t t T t T t Genotypes: 1 TT= Tall 2 Tt = Tall 1 tt = dwarf Genotypic ratio= 1:2:1 Phenotype: 3 Tall 1 dwarf Phenotypic ratio= 3:1
  • 18. Secret of the Punnett Square • Key to the Punnett Square: • Determine the gametes of each parent… • How? By “splitting” the genotypes of each parent: If this is your cross T T  t t T T t t The gametes are:
  • 19. Once you have the gametes… T T t t T t T t T t T t  T T t t
  • 20. Shortcut for Punnett Square… • You only need one box! T T t t  T t Genotypes: 100% T t Phenotypes: 100% Tall plants • If either parent is HOMOZYGOUS T t
  • 21. Understanding the shortcut… T t T t T t T t T t T T t t = Genotypes: 100% T t Phenotypes: 100% Tall plants T t
  • 22. If you have another cross… • A heterozygous with a homozygous T t t t  T t t T t t t Genotypes: 50% T t 50 % t t Phenotypes: 50% Tall plants 50% Dwarf plants You can still use the shortcut!
  • 23. Another example: Flower color For example, flower color: P = purple (dominant) p = white (recessive) If you cross a homozygous Purple (PP) with a homozygous white (pp):  P P p p P p ALL PURPLE (Pp)
  • 24. Cross the F1 generation: P p P p  P P P p P p p p P p P p Genotypes: 1 PP 2 Pp 1 pp Phenotypes: 3 Purple 1 White
  • 25. Mendel’s Principles • 1. Principle of Dominance: One allele masked another, one allele was dominant over the other in the F1 generation. • 2. Principle of Segregation: When gametes are formed, the pairs of hereditary factors (genes) become separated, so that each sex cell (egg/sperm) receives only one kind of gene.
  • 26. Human case: CF • Mendel’s Principles of Heredity apply universally to all organisms. • Cystic Fibrosis: a lethal genetic disease affecting Caucasians. • Caused by mutant recessive gene carried by 1 in 20 people of European descent (12M) • One in 400 Caucasian couples will be both carriers of CF – 1 in 4 children will have it. • CF disease affects transport in tissues – mucus is accumulated in lungs, causing infections.
  • 27. Inheritance pattern of CF IF two parents carry the recessive gene of Cystic Fibrosis (c), that is, they are heterozygous (C c), one in four of their children is expected to be homozygous for cf and have the disease: C C C c C c c c C c C c C C = normal C c = carrier, no symptoms c c = has cystic fibrosis
  • 28. Probabilities… • Of course, the 1 in 4 probability of getting the disease is just an expectation, and in reality, any two carriers may have normal children. • However, the greatest probability is for 1 in 4 children to be affected. • Important factor when prospective parents are concerned about their chances of having affected children. • Now, 1 in 29 Americans is a symptom-less carrier (Cf cf) of the gene.
  • 29. Gaucher Disease • Gaucher Disease is a rare, genetic disease. It causes lipid-storage disorder (lipids accumulate in spleen, liver, bone marrow) • It is the most common genetic disease affecting Jewish people of Eastern European ancestry (1 in 500 incidence; rest of pop. 1 in 100,000)
  • 30. Dihybrid crosses • Matings that involve parents that differ in two genes (two independent traits) For example, flower color: P = purple (dominant) p = white (recessive) and stem length: T = tall t = short
  • 31. Dihybrid cross: flower color and stem length TT PP  tt pp (tall, purple) (short, white) Possible Gametes for parents T P and t p F1 Generation: All tall, purple flowers (Tt Pp) TtPp TtPp TtPp TtPp TtPp TtPp TtPp TtPp TtPp TtPp TtPp TtPp TtPp TtPp TtPp TtPp tp tp tp tp TP TP TP TP
  • 32. Dihybrid cross: flower color and stem length (shortcut) TT PP  tt pp (tall, purple) (short, white) Possible Gametes for parents F1 Generation: All tall, purple flowers (Tt Pp) T t P p T P t p T P t p
  • 33. Dihybrid cross F2 If F1 generation is allowed to self pollinate, Mendel observed 4 phenotypes: Tt Pp  Tt Pp (tall, purple) (tall, purple) Possible gametes: TP Tp tP tp Four phenotypes observed Tall, purple (9); Tall, white (3); Short, purple (3); Short white (1) TTPP TTPp TtPP TtPp TTPp TTpp TtPp Ttpp TtPP TtPp ttPP ttPp TtPp Ttpp ttPp ttpp TP Tp tP tp TP Tp tP tp
  • 34. Dihybrid cross 9 Tall purple 3 Tall white 3 Short purple 1 Short white TTPP TTPp TtPP TtPp TTPp TTpp TtPp Ttpp TtPP TtPp ttPP ttPp TtPp Ttpp ttPp ttpp TP Tp tP tp TP Tp tP tp Phenotype Ratio = 9:3:3:1
  • 35. Genotype ratios (9): Four Phenotypes: 1 TTPP 2 TTPp 2 TtPP 4 TtPp 1 TTpp 2 Ttpp 1 ttPP 2 ttPp 1 ttpp Dihybrid cross: 9 genotypes Tall, purple (9) Tall, white (3) Short, purple (3) Short, white (1)
  • 36. Principle of Independent Assortment • Based on these results, Mendel postulated the 3. Principle of Independent Assortment: “Members of one gene pair segregate independently from other gene pairs during gamete formation” Genes get shuffled – these many combinations are one of the advantages of sexual reproduction
  • 37. Relation of gene segregation to meiosis… • There’s a correlation between the movement of chromosomes in meiosis and the segregation of alleles that occurs in meiosis
  • 38. Test cross When you have an individual with an unknown genotype, you do a test cross. Test cross: Cross with a homozygous recessive individual. For example, a plant with purple flowers can either be PP or Pp… therefore, you cross the plant with a pp (white flowers, homozygous recessive) P ?  pp
  • 39. Test cross • If you get all 100% purple flowers, then the unknown parent was PP… P p P p P p P p P P p p P p p p P p p p P p p p •If you get 50% white, 50% purple flowers, then the unknown parent was Pp…
  • 40. Dihybrid test cross?? If you had a tall, purple plant, how would you know what genotype it is?  tt pp ?? ?? 1. TTPP 2. TTPp 3. TtPP 4. TtPp
  • 41. Beyond Mendelian Genetics: Incomplete Dominance Mendel was lucky! Traits he chose in the pea plant showed up very clearly… One allele was dominant over another, so phenotypes were easy to recognize. But sometimes phenotypes are not very obvious…
  • 42. Incomplete Dominance Snapdragon flowers come in many colors. If you cross a red snapdragon (RR) with a white snapdragon (rr) You get PINK flowers (Rr)! R R R r r r  Genes show incomplete dominance when the heterozygous phenotype is intermediate.
  • 43. Incomplete dominance Incomplete Dominance When F1 generation (all pink flowers) is self pollinated, the F2 generation is 1:2:1 red, pink, white R R R r R r r r R r R r
  • 44. What happens if you cross a pink with a white? Incomplete dominance   A pink with a red?
  • 45. Summary of Genetics • Chromosomes carry hereditary info (genes) • Chromosomes (and genes) occur in pairs • New combinations of genes occur in sexual reproduction • Monohybrid vs. Dihybrid crosses • Mendel’s Principles: – Dominance: one allele masks another – Segregation: genes become separated in gamete formation – Independent Assortment: Members of one gene pair segregate independently from other gene pairs during gamete formation