variations from mendel’s original crosses

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Variations from Mendel’s Original Crosses •Multiple alleles •Polygenic inheritance •Linked dihybrid crosses

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Variations from Mendel’s Original Crosses. Multiple alleles Polygenic inheritance Linked dihybrid crosses. Variations from Mendel’s work. Mendel’s original pea experiments studied the segregation of 7 different characteristics. - PowerPoint PPT Presentation

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Page 1: Variations from Mendel’s Original Crosses

Variations from Mendel’s Original

Crosses•Multiple alleles

•Polygenic inheritance

•Linked dihybrid crosses

Page 2: Variations from Mendel’s Original Crosses

Variations from Mendel’s work

•Mendel’s original pea experiments studied the segregation of 7 different characteristics.

•He looked at each of the 7 characteristics separately – he could do this because they were all on different chromosomes. In other words they were not linked together on the same chromosome. If they were on the same chromosome they could not segregate independently.

•Single genes that are linked to the X chromosome - such as haemophilia and colour blindness - showed a variation to the usual Mendelian ratios because not all individuals have two X chromosomes. (see Beyond Mendel ppt in Blueprint of Life)

•Another variation we have already studied is co-dominance – such as roan coat colour in cattle. (see Beyond Mendel ppt in Blueprint of Life)

•Let us consider a few more variations from the standard…

Page 3: Variations from Mendel’s Original Crosses

PART 1

Multiple Alleles

Page 4: Variations from Mendel’s Original Crosses

Multiple alleles - ABO

lA lB

W

W

lAlB

lAl0 lBl0

Phenotypes:

25%AB

50%B

25% A

Parents: AB x BO

Gametes: lA lB & lB l0

•With Mendel’s original crosses there were only ever two alleles of the one gene to choose from; short or tall, angular or smooth, etc.

•Sometimes there are more than two alleles to inherit even though we can still only inherit a total of 2 alleles (but 1 if the allele is linked to the X or Y chromosome).

•More than two choices of alleles (and there can sometimes be hundreds – we won’t be doing any of those!!!) are known as multiple alleles.

•Examples in humans are the ABO blood groups (3 alleles) and hair or eye colour.

•Let’s have a look at the ABO alleles where allele A and B are co-dominant when inherited together while both are dominant if inherited with O.

lB

l0

lBlB

Note:

l0l0 = O

Page 5: Variations from Mendel’s Original Crosses

Multiple alleles - mice

Cy Ca

W CyCb

CyCaCaCa

Phenotypes:

50% Black 25% Yellow 25% Agouti

Parents genotype: CyCa x CbCa

Gametes: Cy Ca & Cb Ca

•Non-human examples occur in genes for coat patterns in many animals such as in mice.

•In mice the following genotypes match the following phenotypes:

•CyCa = Yellow coat

•CbCa = Black coat

•CaCa = Agouti (mixed) coat

•CbCy – Black coat

•Therefore black is the most dominant allele, the yellow allele is dominant over agouti and the agouti allele is recessive to both black and yellow for the coat colour gene.

Cb

Ca

CaCb

Parents phenotype: Yellow x Black

Page 6: Variations from Mendel’s Original Crosses

PART 2

Polygenic Inheritance

Page 7: Variations from Mendel’s Original Crosses

Polygenic Inheritance•Polygenic inheritance occurs when there is more than one gene involved in a particular phenotypic trait.

•Each loci involved can also have multiple alleles.

•Examples in humans include height, skin pigmentation, weight, cleft palate, neural tube defects, intelligence, the Rhesus factor and, most behavioural characteristics.

•As there are several genes involved with polygenic inheritance it means there are several genes influencing the phenotype, and because of this the number of possible phenotypes tends to be large. The phenotypic characteristics blend from one to another and can appear continuous.

•Polygenic inheritance usually shows what is called continuous variation, that is a trait that covers one end of a scale to another and can be shown with a bell shaped bar graph.

•When only one gene influences a phenotypic trait, such as, yellow or green seed, or A/B blood group, the phenotype variation generally tends to be discontinuous. That is, either one character or another & nothing in between.

Page 8: Variations from Mendel’s Original Crosses

Polygenic Inheritance•This graph shows continuous variation of the phenotype skin pigmentation.

•Each of the 3 genes influencing skin pigmentation has two alleles, 1 for light skin and 1 for dark skin. The two allele show incomplete dominance patterns and show a blended effect.

•There are 64 different combinations of the 2 alleles of the 3 genes.

•An extremely pale skinned person receives 3 pale skin alleles from mum and 3 pale skin alleles from dad.

•A dark skinned person receives a total of 4 or 5 dark skin alleles from mum and dad. http://www.emc.maricopa.edu/faculty/farabee/BIOBK/BioBookgeninteract.html

Page 9: Variations from Mendel’s Original Crosses

Polygenic Inheritance

http://www.emc.maricopa.edu/faculty/farabee/BIOBK/BioBookgeninteract.html

Page 10: Variations from Mendel’s Original Crosses

Polygenic Inheritance

http://med.usd.edu/som/genetics/curriculum/2CINHER3.htm

A typical pedigrees showing traits with polygenic inheritance can appear like this one with distant relatives affected and no obvious pattern of inheritance.

Page 11: Variations from Mendel’s Original Crosses

Polygenic Inheritance•A non-human example of polygenic inheritance is that of Chicken combs.

•Two loci are considered

•R = rose while r = single

•P = pea while p = single

Phenotype Genotype

Single rrpp

Pea rrPP, rrPp

Rose RRpp, Rrpp

Walnut RRPP, RRPp, RrPP, RrPp

Rose Pea Single Walnut

http://www.ndsu.nodak.edu/instruct/mcclean/plsc431/mendel/mendel6.htm

Page 12: Variations from Mendel’s Original Crosses

PART 3

Linked dihybrid crosses

Page 13: Variations from Mendel’s Original Crosses

Recall Mendel’s monohybrid ratio

RR

rr

R R

r

r

Rr Rr

Rr Rr

F1

Parents: RR (round) x rr (angular)

Gametes: R R & r r

R r

R

r

Rr

Rr

Rr

Rr

RR

rr

F2

Parents: Rr (round) x Rr (round)

Gametes: R r & R r

Mendel’s monohybrid ratio states that in the F2 generation pure breeding parents will show a phenotypic ratio of 3:1 for the dominant characteristic.

(See Mendel ppt in Blueprint of Life for more detail)

Mendel was also curious to find out the ratios of offspring if two characteristics were considered rather than just one (such as seed shape shown above)

Page 14: Variations from Mendel’s Original Crosses

Dihybrid crosses – F1

F1 Parents genotype: RRYY x rryy

F1 Parents phenotype: Round & Yellow x Angular & Green

F1 Gametes: RY RY & ry ry

Let’s consider a cross between a pure breeding plant with round and yellow seed with one that is pure breeding with an angular/wrinkled and green seed

RRYY rryy

F1 RY RY

ry

ry

RrYy RrYy

RrYy RrYy

F1 phenotype: 100% Yellow and Round

F1 genotype: 100% RrYy

RRYY

Page 15: Variations from Mendel’s Original Crosses

Dihybrid crosses - F2F2 Parents genotype: RrYy x RrYy

F2 Parents genotype: Round and Yellow x Round and Yellow

F2 Gametes: RY Ry rY ry & RY Ry rY ry

RrYy RrYy

F2 RY Ry rY ry

RY

Ry

rY

ry

RRYY RRYy RrYY

RRYy

RrYY

RrYy

RrYy

RrYy

RrYy

RRyy Rryy

Rryy

rrYy

rryy

rrYy

rrYY

F2 phenotype:

9 round and yellow

3 round and green

3 angular and yellow

1 angular and green

Page 16: Variations from Mendel’s Original Crosses

Dihybrid crosses - F2

F2 RY Ry rY ry

RY

Ry

rY

ry

RRYY RRYy RrYY

RRYy

RrYY

RrYy

RrYy

RrYy

RrYy

RRyy Rryy

Rryy

rrYy

rryy

rrYy

rrYY

F2 genotype: these need to be calculated separately for each phenotype, for example;

The 9 round and yellow seeds can be either

•RRYY

•RrYy

•RRYy

•RrYY

Whereas the 1 angular and green seed can only be

•rryy

What are the possible genotypes for the yellow and angular seed?

Page 17: Variations from Mendel’s Original Crosses

Non-linked genes segregating in a dihybrid cross without crossing over

F2 Parents genotype: RrYy

F2 Gametes: RY Ry rY ry

R r

Y y

Beginning of Meiosis

Possible gametes after meiosis

RY r y r YRy

F1 Parents pure breeding: RRYY x rryy

Page 18: Variations from Mendel’s Original Crosses

Non-linked genes segregating in a dihybrid cross with crossing over

F2 Parents genotype: RrYy

F2 Gametes: RY Ry rY ry

Beginning of Meiosis after crossing over

Rr

Y y

rR

Possible gametes after meiosis are still the same 4 combinations

RY r Y RY r YRy r y Ry r y

F1 Parents pure breeding: RRYY x rryy

Page 19: Variations from Mendel’s Original Crosses

Put either of these in a Punnett square and observe the normal 9:3:3:1 F2 ratio

F2 RY Ry rY ry

RY

Ry

rY

ry

RRYY RRYy RrYY

RRYy

RrYY

RrYy

RrYy

RrYy

RrYy

RRyy Rryy

Rryy

rrYy

rryy

rrYy

rrYY

•Here we see one dominant gene and one recessive gene from different traits mixed together in the same individual organism, as well as two dominants from the two genes and two recessive genes in the same individual.

Page 20: Variations from Mendel’s Original Crosses

Non-linked Vs. Linked•Located on different chromosomes.

•Sort independently at meiosis.

•Crossing over doesn’t alter the way the gene is segregated into gametes.

•Allow typical Mendelian ratio of 9:3:3:1 in the F2 generation of a dihybrid cross.

•Located on the same chromosome.

•Do not sort independently at meiosis.

• Do not allow typical Mendelian ratio of 9:3:3:1 in the F2 generation of a dihybrid cross.

•An X linked gene is one that is on the X chromosome.

•If two genes are linked they are close together on a particular chromosome.

•If genes are closely linked, there is less chance of crossing over occurring between them at meiosis and altering the way they segregate at meiosis into gametes.

•If genes are not closely linked then there is a high chance they may end upon different chromosomes after crossing over and therefore segregate differently.

Page 21: Variations from Mendel’s Original Crosses

Linked genes segregating in a dihybrid cross without crossing over

F2 Parents genotype: AaBb

F2 Gametes: AB ab

Beginning of Meiosis. Crossing over has occurred but the genes were are interested in have not recombined.

Possible gametes after meiosis

AB ab

B baA

AB ab

F1 Parents pure breeding: AABB x aabb

Page 22: Variations from Mendel’s Original Crosses

Put these in a Punnett square and observe the 3:1 F2 ratio

AB

AB

ab

ab

AABB

AaBb

AaBb

aabb

F2

•In this case, if genes are linked closely together on a chromosome and do not get the chance to cross over at meiosis, then we should never see both a dominant trait and recessive trait together in the same organism.

•We will only see both dominant or both recessive traits in a 3:1 ratio and not the expected 9:3:3:1. They are therefore not sorting independently.

•If the 2 genes are very closely linked, the ratio is the same as the monohybrid cross ratio in the F2 generation.

Both dominant traits

Both recessive traits

Page 23: Variations from Mendel’s Original Crosses

Linked genes undergoing crossing over at meiosis

Page 24: Variations from Mendel’s Original Crosses

Linked genes segregating in a dihybrid cross with crossing over

F2 Parents genotype: AaBb

F2 Gametes: AB Ab aB ab

Beginning of Meiosis after crossing over. The genes have ‘recombined’.

Possible gametes after meiosis – there are now 4 combinations rather than two.

Bb

aA

AB Ab aB ab

F1 Parents pure breeding: AABB x aabb

Page 25: Variations from Mendel’s Original Crosses

Put these in a Punnett square and observe the 9:3:3:1 F2 ratio

F2 AB Ab aB ab

AB

Ab

aB

ab

AABB AABb AaBB AaBb

AABb AAbb AaBb Aabb

AaBB AaBb aaBB aaBb

AaBb Aabb aaBb aabb

9 Both A and B dominant

3A dominant and B recessive

3A recessive and B dominant

Both A and B recessive1

If the genes are not closely linked then there is a high chance they will undergo crossing over. If this occurs then they segregate as if they were independent and show the typical 9:3:3:1 ratio in the F2 generation.

Page 26: Variations from Mendel’s Original Crosses

Linked or non-linked dihybrid crosses?•Say we conducted some crosses with sweet pea plants. We crossed a pure breeding plant with long pollen grains and purple flowers (both dominant) with a pure breeding plant with round pollen grains and red flowers.

•The F1 generation would give 100% long pollen & purple plants whether or not the two genes were linked.

•If we counted 1,600 plants in the F2 generation we could expect the following results…

PhenotypeExpected if not linked

Expected if linked & not x/over

Long, Purple

Round, Purple

Long, Red

Round, Red

Expected if linked & x/over

Actual results

900

300

300

100

900

300

300

100

1,200

0

0

400

1,105

78

78

339

Page 27: Variations from Mendel’s Original Crosses

Linked or non-linked dihybrid crosses?•The actual results do not match with any of the expected results. What can we make of this?

•We can tell that the two genes of this dihybrid cross are linked because the actual numbers counted do not match the 9:3:3:1 ratio for unlinked genes.

•The actual results counted for each trait are in between those for ‘linked and not crossed over’ and those for ‘linked and crossed over’. What does this mean?

•It means that some of the plants have undergone recombination (crossing over) of the long/round pollen and red/purple genes and some haven’t.

•If the actual results are closer to the ‘linked and not crossed over’ results, then we can say that they are so close there has been little chance of crossing over and therefore the genes must be closely linked (close together).

•If the actual results are closer to the ‘linked and crossed over’ results then we can predict that the genes are quite a way apart on the chromosome and have a high chance of crossing over.

Page 28: Variations from Mendel’s Original Crosses

Calculating linkage•Linkage can be calculated by working out the amount of plants that have undergone recombination (crossing over) compared to the total number of plants. This can be worked out as a percentage.

•If there is a large percentage of crossing over then the genes are not closely linked, and if there is a small percentage of recombination then the genes are closely linked.

•Let’s have a look at our example. 156 (78 + 78) plants showed recombination from a total of 1,600. Therefore, 156/1,600 = 0.0975 x 100 = 9.75% recombination.

•A cross that is carried out in order to calculate recombination is a test cross.

•Remember that recombination is random so the recombination % is not going to be exact every time.

•By working out the recombination % of a few linked genes, geneticists can identify their relative position, or loci, on a chromosome. This is known as a chromosome map.

Page 29: Variations from Mendel’s Original Crosses

Chromosome maps of linked genes•Say we have 3 genes (ABC) linked on a particular chromosome and we want to know which ones are more closely linked.

•After conducting 3 sets of test crosses we observe the following results:

Cross AB Results Cross BC Results Cross AC Results

AB

Ab

aB

ab

BC

Bc

bC

bc

AC

Ac

aC

ac

20

2

2

6

1726

1

1

1

1

5 7

Tot. 30 Tot. 33 Tot. 26

•Recombination between AB is 4/30 x 100 = 13.3%

•Recombination between BC is 2/33 x 100 = 6.1%

•Recombination between AC is 2/26 x 100 = 7.7%

Which genes are the furthest apart? Which genes are closest on

the chromosome?

Page 30: Variations from Mendel’s Original Crosses

Chromosome maps•Recombination between AB is 13.3%

•Recombination between BC is 6.1%

•Recombination between AC is 7.7%

Segment of chromosome

13 7

6

A

B

C

http://users.rcn.com/jkimball.ma.ultranet/BiologyPages/L/Linkage.html

Example of a map of

chromosome 9 in a plant

Page 31: Variations from Mendel’s Original Crosses

Are the genes Se/se & Md/md linked?

Page 32: Variations from Mendel’s Original Crosses

Uses of linkage•Linkage is used to identify the order of genes along a chromosome.

•It is often difficult to locate actual positions due to the randomness of recombination, which can change (albeit slightly) all the time.

•Scientists have tried using recombination maps to compare species. The more closely related the species, the more similar their chromosome maps should be.

•This has created problems for taxonomist who may find that the new genetic maps do not concur with information already available. How do they make a decision whether or not to change the current classification of certain organisms? If they do decide to make the change, how do they notify the scientific community? How much would it cost to make the changes?

•Scientists first working on the Human Genome project (to map the position of genes on the whole genome) used linkage maps, but these maps could not identify the exact position of genes they soon became redundant.

Page 33: Variations from Mendel’s Original Crosses

References•Aubusson, P. and Kennedy, E. (2000) Biology in Context. The Spectrum of Life Oxford University Press, Melbourne, Australia.•Board of Studies (2002) STAGE 6 SYLLABUS Biology Board of Studies, NSW, Australia.

•Farabee, M. J. (2001) Gene Interactions. Retrieved from the site http://www.emc.maricopa.edu/faculty/farabee/BIOBK/BioBookgeninteract.html July 2004.

•Huskey, R.J. (2003) BIOL 121 Human Biology General Information. Retrieved from site http://www.people.virginia.edu/~rjh9u/geninfo.html July 2004.

•Kimball, J.W. (2004) Kimball’s Biology Pages:Chromosome maps. Retrieved from site http://users.rcn.com/jkimball.ma.ultranet/BiologyPages/L/Linkage.html July 2004.

•Krupp, D. (1999) Beyond Mendel. Retrieved from the site http://imiloa.wcc.hawaii.edu/krupp/BIOL101/present/byndmend/sld006.htm July 2004.

•McLaughlin, L. & Hitchings, S. (2003) Biology Options. Genetics: the code broken? McGraw-Hill Australia Pty Ltd.