Chapter 14

Draw 13 boxes on your paper

Probability & genetics

• Calculating probability of making a specific gamete is just like calculating the probability in flipping a coin– probability of tossing heads? – probability making a B gamete?

50%

100%BB

B

B

Bb

B

b

Probability & genetics

• Outcome of 1 toss has no impact on the outcome of the next toss– probability of tossing heads each time?– probability making a B gamete each

time?50%

50%

Bb

B

b

Calculating probabilityPp x Pp

sperm egg

1/2 1/2

offspring

=x 1/4P P PP

P p Pp

1/2 1/2 =x 1/4p p pp

p P

P pmale / sperm

P

pfem

ale

/ eg

gs

PP Pp

Pp pp

1/2 1/2 =x 1/4

1/2 1/2 =x 1/41/2

+

Rule of multiplication• Chance that 2 or more independent

events will occur together– 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 = 1/4Pp

P

p

Calculating probability in crosses

Use rule of multiplication to predict crosses

YyRr YyRrx

yyrr

?%

Yy Yyx Rr Rrx

1/4

1/4

1/16

yy rr

x

Apply the Rule of Multiplication

Got it?Try this!

AABbccDdEEFf AaBbccDdeeFfx

AabbccDdEeFF

Bb x Bb bbcc x cc ccDd x Dd DdEE x ee EeFf x Ff FF

AA x Aa Aa 1/21/4

11/2

11/4 1/64

Rule of addition

• Chance that an event can occur 2 or more different ways – sum of the separate probabilities– probability of Bb x Bb Bb

sperm egg offspring

1/2 1/2 =x 1/4B b Bb

1/2 1/2 =x 1/4b B Bb

1/4

1/4+

1/2

Box #1

• How are probability and genetics related?

Pedigree analysis

• Pedigree analysis reveals Mendelian patterns in human inheritance– data mapped on a family tree

= male = female = male w/ trait = female w/ trait

Genetic counseling• Pedigree can help us understand the past &

predict the future• Thousands of genetic disorders are inherited

as simple recessive traits– from benign conditions to deadly diseases– albinism– cystic fibrosis– Tay sachs– sickle cell anemia– PKU

Genetic testing

Recessive diseases• The diseases are recessive because the allele

codes for either a malfunctioning protein or no protein at all– Heterozygotes (Aa)

• carriers

• have a normal phenotype because one “normal” allele produces enough of the required protein

Box#2

solve the following problem in box #2:In purple people eaters, one-horn is dominant

and no horns is recessive. Show the cross of a purple people eater that is heterozygous for horns with a purple people eater that does not have horns. Summarize the genotypes and phenotypes of the possible offspring.

Box #3

answer the following questions in box #3In humans, curly hair is dominant over straight hair. A

woman heterozygous for hair curl marries a man with straight hair and they have children.

1. What is the genotype of the mother?2. What gametes can she produce?3. What gametes can the father produce?4. What is the probability that the 1st child will have

curly hair?5. What is the probability the 2nd child will have curly

hair?

Box#4• What is the probability of each of the following sets

of parents producing the given genotypes in their offspring?

Parents Genotype

Offspring Genotype

Probability

Aa x Aa Aa

Aa x aa Aa

AaBb x AaBB AABB

AaBb x AABb Aabb

AaBb x AaBb AaBb

Heterozygote crosses• Heterozygotes as carriers of recessive alleles

Aa x Aa

A amale / sperm

A

a

fem

ale

/ eg

gs

AA

Aa aa

Aa

Aa

A

a

Aa

A

a

AA

Aa aa

Aa

Cystic fibrosis

• Primarily people of European descent– strikes 1 in 2500 births

• 1 in 25 people of European descent is a carrier (Aa)

– normal allele codes for a membrane protein that transports Cl- across cell membrane• defective or absent channels limit transport of Cl- (& H2O) across cell

membrane• thicker & stickier mucus coats around cells • mucus build-up in the pancreas, lungs, digestive tract & causes

bacterial infections– without treatment children die before 5;

with treatment can live past their late 20s

normal lung tissue

Normal Lungs Chloride channelTransports chloride through protein channel out of cellOsmotic effects: H2O follows Cl-

airway

cells lining lungs

Cl-

Na+

mucus secreting glands

Cystic fibrosis

airway

cells lining lungs

Cl-

Na+

bacteria & mucus build up

thickened mucus hard to secrete

damaged lung tissue

Tay-Sachs• Primarily Jews of eastern European (Ashkenazi)

descent & Cajuns– strikes 1 in 3600 births

• 100 times greater than incidence among non-Jews or Mediterranean (Sephardic) Jews

– non-functional enzyme fails to breakdown lipids in brain cells

• symptoms begin few months after birth

• seizures, blindness & degeneration of motor & mental performance

• child usually dies before 5yo

Sickle cell anemia• Primarily Africans

– strikes 1 out of 400 African Americans– caused by substitution of a single amino acid in

hemoglobin– when oxygen levels are low, sickle-cell

hemoglobin crystallizes into long rods• deforms red blood cells into

sickle shape• sickling creates pleiotropic

effects = cascade of other symptoms

Sickle cell anemia

• Substitution of one amino acid in polypeptide chain

Sickle cell phenotype

• 2 alleles are codominant – both normal & mutant hemoglobins are

synthesized in heterozygote (Aa)– carriers usually healthy, although some suffer

some symptoms of sickle-cell disease under blood oxygen stress

• exercise

Heterozygote advantage

• Sickle cell frequency– high frequency of heterozygotes

is unusual for allele with severe detrimental effects in homozygotes

• 1 out of 400 African Americans

• Suggests some selective advantage of being heterozygous– sickle cell: resistance to malaria?– cystic fibrosis: resistance to cholera?

Heterozygote advantage• Malaria

– single-celled eukaryote parasite spends part of its life cycle in red blood cells

• In tropical Africa, where malaria is common:– homozygous dominant individuals die of malaria– homozygous recessive individuals die of sickle cell anemia– heterozygote carriers are relatively free of both

• High frequency of sickle cell allele in African Americans is vestige of African roots ������

Malaria

Prevalence of Malaria

Prevalence of SickleCell Anemia

Huntington’s chorea• Dominant inheritance

– on end of chromosome 4• one of 1st genes to be identified• mutation = CAG repeats = glutamine amino acid

– build up of protein “huntingtin” in neurons (brain) causing cell death

• memory loss• muscle tremors, jerky movements = “chorea”• early death (10-20 years after onset)

– onset age 30-50

1872

Genetics & culture• Why do all cultures have a taboo against incest?

– laws or cultural taboos forbidding marriages between close relatives are fairly universal

• Fairly unlikely that 2 unrelated carriers of same rare harmful recessive allele will meet & mate– but matings between close relatives increase risk

• “consanguineous” (same blood) matings– individuals who share a

recent common ancestor are more likely to carry same recessive alleles

AA

Aa aa

Aa

A hidden disease reveals itself

AA x Aa

A Amale / sperm

A

a

fem

ale

/ eg

gs

Aa

AA

Aa

AA

Aa Aax

A amale / sperm

A

afe

mal

e / e

gg

s AA

Aa aa

Aa

Box #5

• What is the heterozygote advantage?

Beyond Mendel’s Lawsof Inheritance

Extending Mendelian genetics• Mendel worked with a simple system

– peas are genetically simple– most traits are controlled by a single gene– each gene has only 2 alleles, 1 of which

is completely dominant to the other• The relationship between

genotype & phenotype is rarely that simple

Incomplete dominance• Heterozygote shows an intermediate, blended

phenotype– example:

• RR = red flowers• rr = white flowers• Rr = pink flowers

– make 50% less color

RR Rr rr

Incomplete dominancetrue-breeding

red flowerstrue-breeding white flowers

XP

100%

100% pink flowersF1

generation(hybrids)

self-pollinate

25%whit

eF2generation

25%

red1:2:

1

50%pink

It’s likeflipping 2 pennies!

Incomplete dominance

CRCW x CRCW

CR CW

male / sperm

CR

CW

fem

ale

/ eg

gs _____

_____

_____

____

1:2:1

____

____

____

1:2:1

%genotype

%phenotype

CRCR

CRCW

CRCW

CWCW

____

____

_____

Box #6

Certain breeds of cattle show incomplete dominance in coat color. When pure breeding red cows are bred with pure breeding white cows, the offspring are roan (a pinkish coat color). Summarize the genotypes and phenotypes of the possible offspring when a roan cow is mated with a roan bull.

Box #7

Cows also have a second gene for horn vs hornless cattle. The allele for horns dominates the allele for hornless. If a bull and cow are heterozygous for both genes, what are the probabilities for each possible phenotype?

Co-dominance• 2 alleles affect the phenotype equally &

separately– not blended phenotype– example: ABO blood groups– 3 alleles

• IA, IB, i• IA & IB alleles are co-dominant to each other

– both antigens are produced• both IA & IB are dominant to i allele

– produces glycoprotein antigen markers on the surface of red blood cells

Box #8

• What is incomplete dominance?• What is co-dominance?

Box #9

A man with type AB blood marries a woman with type B blood. Her mother has type O blood. List the expected phenotype and genotype frequencies of their children.

Pleiotropy • Most genes are pleiotropic

– one gene affects more than one phenotypic character

• wide-ranging effects due to a single gene• dwarfism (achondroplasia) • gigantism (acromegaly)

Acromegaly: André the Giant

Epistasis • one gene will mask the expression of another

gene – coat color in mice = 2 separate genes

• C,c: pigment (C) or no pigment (c)

• B,b: more pigment (black=B) or less (brown=b)

• cc = albino, no matter B allele

• 9:3:3:1 becomes 9:3:4

How would you know thatdifference wasn’t random chance?

Chi-square test!

Epistasis in Labrador retrievers• 2 genes: (E,e) & (B,b)

– pigment (E) or no pigment (e)– pigment concentration: black (B) to brown (b)

E–B–E–bbeeB–eebb

Box #10

• make up an example of epistasis

Polygenic inheritance• Some phenotypes determined by additive

effects of 2 or more genes on a single character– phenotypes on a continuum– human traits

• skin color• height• weight• eye color• intelligence• behaviors

Box #11

describe in your own words, polygenic inheritance.

enzyme

Skin color: Albinism• However albinism can be

inherited as a single gene trait

Johnny & Edgar Winter

albinoAfricans

melanin = universal brown color

tyrosine melaninalbinism

OCA1 albino Bianca Knowlton

Sex linked traits• Genes are on sex chromosomes

– as opposed to autosomal chromosomes– first discovered by T.H. Morgan at Columbia U.– Drosophila breeding

• good genetic subject– prolific– 2 week generations– 4 pairs of chromosomes– XX=female, XY=male

1910 | 1933

autosomal

chromosome

s

sexchromosome

s

Classes of chromosomes

Huh!Sex matters?!

F2generation

100%red-eye female

50% red-eye male50% white eye male

Discovery of sex linkage

P X

F1generation(hybrids)

100%red eye

offspring

true-breeding white-eye male

true-breedingred-eye female

Genetics of Sex• In humans & other mammals, there are 2 sex

chromosomes: X & Y– 2 X chromosomes

• develop as a female: XX• gene redundancy,

like autosomal chromosomes– an X & Y chromosome

• develop as a male: XY• no redundancy

50% female : 50% male

box# #12

The genes for hemophilia are located on the X chromosome. It is a recessive disorder. List the possible genotypes and phenotypes of the children from a man normal for blood clotting and a woman who is a carrier. (Hint: you have to keep track of what sex the children are).

Genes on sex chromosomes• Y chromosome

– few genes other than SRY• sex-determining region• master regulator for maleness• turns on genes for production of male hormones

– many effects = pleiotropy!

• X chromosome– other traits beyond sex determination

• mutations:– hemophilia– Duchenne muscular dystrophy– color-blindness

Human X chromosome• Sex-linked

– usually means“X-linked”

– more than 60 diseases traced to genes on X chromosome

Duchenne muscular dystrophyBecker muscular dystrophy

Ichthyosis, X-linkedPlacental steroid sulfatase deficiencyKallmann syndromeChondrodysplasia punctata, X-linked recessive

HypophosphatemiaAicardi syndromeHypomagnesemia, X-linkedOcular albinismRetinoschisis

Adrenal hypoplasiaGlycerol kinase deficiency

Incontinentia pigmentiWiskott-Aldrich syndromeMenkes syndrome

Charcot-Marie-Tooth neuropathyChoroideremiaCleft palate, X-linkedSpastic paraplegia, X-linked, uncomplicatedDeafness with stapes fixation

PRPS-related gout

Lowe syndrome

Lesch-Nyhan syndromeHPRT-related gout

Hunter syndromeHemophilia BHemophilia AG6PD deficiency: favismDrug-sensitive anemiaChronic hemolytic anemiaManic-depressive illness, X-linkedColorblindness, (several forms)Dyskeratosis congenitaTKCR syndromeAdrenoleukodystrophyAdrenomyeloneuropathyEmery-Dreifuss muscular dystrophyDiabetes insipidus, renalMyotubular myopathy, X-linked

Androgen insensitivity

Chronic granulomatous diseaseRetinitis pigmentosa-3

Norrie diseaseRetinitis pigmentosa-2

Sideroblastic anemiaAarskog-Scott syndrome

PGK deficiency hemolytic anemia

Anhidrotic ectodermal dysplasia

AgammaglobulinemiaKennedy disease

Pelizaeus-Merzbacher diseaseAlport syndrome

Fabry disease

Albinism-deafness syndrome

Fragile-X syndrome

Immunodeficiency, X-linked,with hyper IgM

Lymphoproliferative syndrome

Ornithine transcarbamylase deficiency

Map of Human Y chromosome?< 30 genes on Y chromosome Sex-determining Region Y (SRY)

Channeling Flipping (FLP)Catching & Throwing (BLZ-1)

Self confidence (BLZ-2)note: not linked to ability gene

Devotion to sports (BUD-E)

Addiction to death &destruction movies (SAW-2)

Scratching (ITCH-E)Spitting (P2E) linked

Inability to express affection over phone (ME-2) Selective hearing loss (HUH)

Total lack of recall for dates (OOPS)

Air guitar (RIF)

Sex-linked traits summary• X-linked

– follow the X chromosomes– males get their X from their mother– trait is never passed from father to son

• Y-linked– very few genes / traits– trait is only passed from father to son– females cannot inherit trait

X-inactivation• Female mammals inherit 2 X chromosomes

– one X becomes inactivated during embryonic development• condenses into compact object = Barr body• which X becomes Barr body is random

– patchwork trait = “mosaic”

XHXh

XH

Xh

X-inactivation & tortoise shell cat

• 2 different cell lines in cat

Box #13

Why does X inactivation exists in females and not males?

Male pattern baldness

• Sex influenced trait– autosomal trait influenced by sex hormones

• age effect as well = onset after 30 years old– dominant in males & recessive in females

• B_ = bald in males; bb = bald in females

Nature vs. Nurture

• Phenotype is controlled by both environment & genes

Color of Hydrangea flowers is influenced by soil pH

Human skin color is influenced by both genetics & environmental conditions

Coat color in arctic fox influenced by heat sensitive alleles