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Population Genetics Dr. Mohammed Hussein Population Genetics Dr. Mohammed Hussein

Population Genetics Dr. Mohammed Hussein - PowerPoint Presentation

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Population Genetics Dr. Mohammed Hussein - PPT Presentation

MBChB MSC PhD DCH UK MRCPCH Definition Population genetics is the study of genetic variation in populations Allow us to understand how and why the prevalence of various genetic diseases differs among populations ID: 933885

allele disease affected frequency disease allele frequency affected carrier prevalence producing probability homozygous heterozygous female 100 000 normal abnormal

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Slide1

Population Genetics

Dr. Mohammed Hussein

M.B.Ch.B, MSC, PhD, DCH (UK), MRCPCH

Slide2

Definition

Population genetics is the study of genetic variation in populations. Allow us to understand how and why the prevalence of various genetic diseases differs among populations

.

Slide3

Hardy-Weinberg Equilibrium

Hardy

: British Mathematician

Weinberg

: German Physician

Slide4

Hardy-Weinberg Equilibrium

Slide5

Hardy-Weinberg

Equilibrium

If a population is large and if individuals mate at random with respect to their genotypes at a locus, the population should be in

H-W equilibrium.

Slide6

Hardy-Weinberg

Equilibrium

This means that there is

a constant

and predictable relationship between genotype frequencies and allele frequencies.

The Hardy Weinberg equation, allows one

to estimate

genotype frequencies if one

knows allele

frequencies, and vice versa.

Slide7

Hardy-Weinberg

Equilibrium

P

2

+ 2pq + q

2

= 1

p

= a normal allele

q

= a disease producing allele

Slide8

p

= a normal alleleq = a disease-producing allele

pp

= the genotype

pp

(homozygous normal) =

P

2

qq = the genotype

qq

(homozygous affected) =

q

2pq =

heterozygous ( affected or carrier) =

2pq

P2 + 2pq + q2 = 1

Slide9

Heterozygous male

pq

Heterozygous female

pq

Slide10

q

p

p

q

p

p

p

q

p

q

q

q

pp

pq

pq

qq

Heterozygous

Heterozygous

Homozygous

for the normal allele

Homozygous

for the

diseased allele

pp

+

pq

+

pq

+

qq

=

1

p

2

+

2pq

+

q

2

=

1

1/4

1/4

1/4

1/4

Slide11

P

2 + 2pq + q2 = 1

p

= frequency of the normal allele

q

= frequency of the disease-producing allele

p

2

= frequency of the homozygous normal

q

2

= frequency of the homozygous affected

2pq

= frequency of heterozygous

Slide12

Simplification

Generally p, the normal allele frequency in the population, is very close to 1 (e.g., most of the alleles of this gene are normal). In this case, we may assume that

p

~ 1, and the equation simplifies

to:

P

2

+ 2pq + q

2

= 1

1 + 2q + q

2

= 1

Slide13

1 + 2q + q

2 = 1

q

= frequency of the

diseased-producing

allele

2q

= frequency of heterozygous

for diseased

alleleq2= frequency of homozygous for diseased allele

Slide14

In

Autosomal Dominant diseasesThe diseased allele (q) is dominant over the normal allele (p), so

pp

=

normal

qq

= homozygous affectedpq

=

heterozygous affected

Slide15

In Autosomal Dominant

diseasesq = frequency of the diseased-producing allele2q

= heterozygous affected =

prevalence of the

disease

q

2

= homozygous affected (sever disease

)

1 + 2q + q

2

= 1

P

2

+ 2pq + q

2 = 1

Slide16

In Autosomal Recessive diseases

The normal allele (p) is dominant over the diseased allele (q), so pp is normal

p

q

is heterozygous carrier

qq

is homozygous affected

Slide17

In Autosomal Recessive

diseasesq = frequency of the diseased-producing allele2q

= heterozygous

carrier

q

2

= homozygous affected

(

prevalence of the disease)

1 + 2q + q

2

= 1

P

2

+ 2pq + q

2 = 1

Slide18

In

X-linked Recessive diseasesThe normal allele (p) is dominant over the diseased allele (q)As the diseased allele presented only on the X chromosome

X

p

Y

= normal male

X

q

Y = affected male X

p

X

p

= normal femaleXpXq =

female carrier

Xq Xq

= affected female

Slide19

q = frequency

of the diseased-producing alleleq = frequency of the hemizygous affected males (X

q

Y

)

(

prevalence of the disease

)

2q = heterozygous female carrier (Xp

X

q

)q2 = frequency of homozygous affected females (X

q

Xq )

1 + 2q + q2 = 1

P2 + 2pq + q

2 = 1

Slide20

Slide21

q

2q

q

2

Diseased-producing

allele

Heterozygous

Homozygous

X-L R

AD

AR

X-L R

AD

AR

X-L R

Disease prevalence

Disease prevalence

Carrier

Female carrier

Sever affected

Disease prevalence

Affected females

Slide22

AD diseases:q = frequency of the disease-producing allele2q = heterozygous affected =

prevalence of the disease

q

2

= homozygous affected (sever disease)

AR diseases:

q

=

frequency of the disease-producing allele2q

= heterozygous carriers

q

2

= homozygous affected = prevalence of the diseaseX-L - R diseases:q =

frequency of the disease-producing

allele q = prevalence of the disease

2q = heterozygous female carriersq2 = homozygous affected females (sever disease)

Slide23

A Practical Application of the H-W Principle

If the prevalence of homocystinuria (AR genetic disease)

is

1/10,000, find out

The

frequency of the

disease-producing

allele

The carrier frequency

Slide24

Answer

q2 =Disease prevalenceq2 =

1/10,000

Frequency of the

disease-producing

allele =

1/100

2q

= Carrier

frequency 2 x 1/100 = 2/100 = 1/50

The carrier frequency =

1/50

AR Disease

q

= disease-producing allele

2q = carrier frequency

q2 = disease prevalence

q = 1/100

Disease prevalence 1/10,000Disease-producing allele ?The carrier frequency ?

Slide25

Example 2

The prevalence of hyperlipidemia (AD disease) is 1/500, calculate The frequency of the disease-producing allele

The frequency of the homozygous affected

Slide26

Answer

2q =Prevalence 2q= 1/500

Frequency of the

disease-producing

allele =

1/1000

q

2

= homozygous affected q

2

=

1/1000 x 1/1000 = 1/1000000 = 1/106 Frequency of the homozygous affected = 1/106

AD Disease

q

= disease-producing allele2q = disease prevalenceq2 = homozygous affected

q= 1/1000

Disease prevalence 1/500Disease-producing

allele ?

The

homozygous affected?

Slide27

Example 3

The prevalence of hemophilia in males is 1/10,000, calculate The frequency of the disease-producing allele

The prevalence (frequency) of female carriers

The frequency of the females affected.

Slide28

Answer

q = The prevalence of the disease q = 1/10,000

Frequency of the

disease-producing

allele =

1/10,000

2q

= heterozygous female carrier

2q = 2 x 1/10,000 = 2/10,000 = 1/5,000

Frequency of the

female carrier=

1/5,000

q

2 = affected female q2 = 1/10,000 x 1/10,000 = 1/100,000,000 = 1/108

Frequency

of the females affected= 1/10

8X-linked R Diseaseq = disease-producing allele (disease prevalence)

2q = heterozygous female carrier q2 = homozygous affected female (sever disease)

Disease prevalence 1/10,000Disease-producing allele ?The female carrier?

The female affected?

as

q =

frequency of the disease-causing allele

Slide29

How to calculate the probability for a family to have a child with an autosomal recessive disease?

Slide30

The probability is

based on the joint occurrence of 4 events:The probability that the male carry

the abnormal allele

The

probability that

the

he

will

pass

the allele to the childThe probability that the female carry the abnormal alleleThe probability that the

she

will

pass

the allele to

the child1 * 2 * 3 * 4 = the risk of having a child with the disease

Slide31

The probability that the

parent carry the abnormal alleleThen the probability that he/she carries the abnormal gene is

100% which equal to

1

If the parent is

known

affected by the disease or

known

carrier

Slide32

If the parent is don’t know whether carrier or not

The probability that the parent carry the abnormal allele

Then we have to find the carrier risk or the carrier frequency

If non of his/her family members is affected or carrier then we need to calculated the

carrier frequency of the population

However if one of his/her brothers is affected then the probability is

67% or 2/3

Slide33

This means that the probability to pass

the gene is 100% or 1 The probability that the parent will pass

the abnormal allele

Otherwise

This means that the probability to

pass

the gene is 50% or

1/2

If the parent is known

affected

by the

disease

Slide34

A Practical Application of the H-W Principle

A 20-year-old female has an AR genetic disease called Phenylketonuria (PKU). She asks you 2 questions:What is the chance that she had to marry a man with the disease-producing allele.

What is the probability that she will have a child with PKU?

Note

: the

prevalence

of

PKU

in the population is 1/10,000.

Slide35

Answer

q2 =Disease prevalenceq2 =

1/10,000

Frequency of the disease-causing allele =

1/100

2q

= Carrier

frequency

2

x 1/100 = 2/100 = 1/50The carrier frequency = 1/50

The chance that she had to marry a man with disease-producing allele is

1/50

AR Disease

q

= disease-causing allele

2q = carrier frequency

q2 = disease prevalence

q = 1/100

Disease prevalence 1/10,000The carrier frequency ?

Slide36

The answer to the second question is based on the joint occurrence of 4 events:

The probability that the female carries the abnormal allele is The probability that the she will passes her abnormal allele to the child is

The probability that the

male carries

the abnormal allele is

The probability that the

he will passes

his abnormal allele to the child is

1 * 1 * 1/50*1/2 = 1/100

(

1

) as she is known affected

1/50

as we calculate it before

1/2

as the disease is AR as he is carrier

1

as the disease is AR as she is affected

Slide37

Example

A couple come

for genetic

counseling

about the risk that their child will

have cystic fibrosis

.

The husband's

sister has the disease, but he is not affected and there is no history in the wife's family of the disease

.

Note: the prevalence of CF is 4/10000.

Slide38

Answer

q2 =Disease prevalenceq2 =

4/10,000

Frequency of the disease-causing allele =

2/100

2q

= Carrier

frequency

2

x 2/100 = 4/100 = 1/25The carrier frequency =

1/25

The carrier

risk of CF in

population,

which is the risk for the wife = 1/25

AR Disease

q = disease-causing allele2q = carrier frequency

q2 = disease prevalence

q = 2/100

Disease prevalence 4/10,000The carrier frequency ?

Slide39

Answer

Regarding the husband, as his sister is affected, so both parents must be carriers. Since he is not affected therefore there is a

2/3

chance that he is a carrier.

pp

pq

pq

qq

Slide40

1/25 *

1/2 *

2/3 *

1/2 *

= 1/150

The probability that

the

female carry

the abnormal allele

The

probability that

the

she

will

pass

her abnormal

allele to the

childThe probability that the male carry the abnormal alleleThe probability that the he will pass

his abnormal allele to the child

Slide41

Factors responsible for genetic variation in populations

Slide42

Factors responsible for genetic variation in populations

Although

human populations are typically in H-W equilibrium for most loci, deviations from equilibrium can be produced

by:

Mutation

Natural Selection

Genetic Drift

Gene Flow

Consanguinity

Slide43

Mutation

Mutation

is ultimately the source of all new genetic variation in populations.

Founder

effect

Slide44

Natural

Selection

Natural

selection acts upon genetic variation, increasing the frequencies of alleles that promote survival or fertility (referred to as fitness) and decreasing the frequencies of alleles that reduce fitness.

Slide45

Natural

Selection

There is now evidence for heterozygote advantages for several other recessive diseases

that are

relatively common in some populations. Examples include

:

Cystic fibrosis

(heterozygote resistance to typhoid fever)

Hemochromatosis

(heterozygote advantage in iron-poor environments)

Glucose-6-phosphate

dehydrogenase deficiency

(heterozygote resistance to malaria)

Slide46

Genetic

Drift

Mutation

rates do not vary significantly from population to population, although they can result in significant differences in allele frequencies when they occur in small populations

Slide47

Gene

Flow

Gene

flow refers to the exchange of genes among populations.

Because

of gene flow, populations located close to one another often tend to have similar gene frequencies

Slide48

Consanguinity and its Health Consequences

Consanguinity

refers to the mating of individuals who are related to one another (typically, a union is considered to be consanguineous if it occurs between individuals related at the second-cousin level or closer).

Slide49

Slide50

Consanguinity and its Health Consequences

Dozens

of empirical studies have examined

the health

consequences of consanguinity, particularly first-cousin

matings

.

These

studies

show that the offspring of first-cousin matings are approximately twice as likely to present with a genetic disease as are the offspring of unrelated matings.

Slide51

Dr. Mohammed Hussein

M.B.Ch.B, MSC, PhD, DCH (UK), MRCPCH

Thank you

for

Your Attention