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CURRENT STATE OF

THE

HUMAN GENETIC MAP

 

 

195

TABLE

6.1

Genetic and Physical Map Lengths of the Human Chromosomes

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Genetic Size

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Physical

 

Sex

 

 

 

 

 

 

 

 

Chromosome

a

Size (Mb)

Averaged

cM/Mb

Female

cM/Mb

Male

cM/Mb

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

1

 

263

292.7

1.11

 

358.2

1.36

220.3

0.84

 

2

 

255

277.0

1.09

 

324.8

1.27

210.6

0.83

 

3

 

214

233.0

1.09

 

269.3

1.26

182.6

0.85

 

4

 

203

212.2

1.05

 

270.7

1.33

157.2

 

0.77

 

5

 

194

197.6

1.02

 

242.1

1.25

147.2

 

0.76

 

6

 

183

201.1

1.10

 

265.0

1.45

135.2

 

0.74

 

7

 

171

184.0

1.08

 

187.2

1.09

178.1

 

1.04

 

8

 

155

166.4

1.07

 

221.0

1.43

113.1

 

0.73

 

9

 

145

166.5

1.15

 

194.5

1.34

138.5

 

0.96

 

10

 

144

181.7

1.26

 

209.7

1.46

146.1

1.01

 

11

 

144

156.1

1.08

 

180.0

1.25

121.9

 

0.85

 

12

 

143

169.1

1.18

 

211.8

1.48

126.2

 

0.88

 

13q

 

98

117.5

1.20

 

132.3

1.35

97.2

 

0.99

 

14q

 

93

128.6

1.38

 

154.4

1.66

103.6

 

1.11

 

15q

 

89

110.2

1.24

 

131.4

1.48

91.7

 

1.03

 

16

 

98

130.8

1.33

 

 

169.1

1.73

98.5

 

1.01

 

17

 

92

128.7

1.40

 

145.4

1.58

104.0

 

1.13

 

18

 

85

123.8

1.46

 

 

151.3

1.78

92.7

 

1.09

 

19

 

67

109.9

1.64

 

115.0

1.72

98.0

 

1.46

 

20

 

72

96.5

1.34

 

 

120.3

1.67

73.3

 

1.02

 

21q

 

39

59.6

1.53

 

 

70.6

1.81

46.8

 

1.20

 

22q

 

43

58.1

1.35

 

74.7

1.74

46.9

 

1.09

 

X

 

164

198.1

1.21

 

198.1

1.21

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Source:

Adapted from Dib et al. (1996).

 

 

 

 

 

 

 

 

 

 

a Only the long arm is shown for five chromosomes in which the short arm consists largely

of

tandemly repeat-

 

 

 

 

ing ribosomal DNA. The approximate full length of these chromosomes are given in parentheses.

 

 

 

 

 

 

CURRENT STATE OF THE HUMAN GENETIC MAP

 

 

 

 

 

Several

major

efforts to make genetic maps of the human

genome have occurred

during

the past few years, and recent emphasis has been on merging these efforts to forge con-

sensus maps. A few examples of the status of these maps several years ago are given in

Figure 6.29

a

and

b . These are sex-averaged

maps

because they

have

a larger density of

markers.

The

ideal framework map will have markers

spaced

uniformly

at

distances

around 3 to 5 cM, since this is the most efficient sort of map to use to

try to find addi-

tional markers or disease genes with current technology. On this basis the map shown for

chromosome 21 is quite mature, while the map for chromosome 20, a much less studied

chromosome, is still relatively immature. Chromosome 21 is completely covered (except

for the rDNA-containing short arm) with relatively uniform markers; in contrast, chromo-

some 20 has several regions where the genetic resolution is much worse than 5 cM. The

current

status

of

the maps

can only be summarized highly

schematically,

as

shown in

Figure 6.29

c . Here 2335 positions defined by 5264 markers are plotted. On average, this

is almost 1 position per cM.

 

 

 

 

 

 

196 GENETIC ANALYSIS

Figure 6.29

Genetic maps

of

human

chromo-

somes.

(a,b)

 

Status of sex-averaged maps

of

chro-

mosomes

20

and

21

several

years ago.

(c)

Schematic

summary

of

current

genetic

map

(from

 

Dib et al., 1996).

GENETICS IN THE PSEUDOAUTOSOMAL REGION

197

Figure 6.29 (Continued)

The physical lengths of the human chromosomes are estimated to range from 50 Mb for chromosome 21, the smallest, to 263 Mb for chromosome 1, the largest. Table 6.1 summarizes these values and compares them with the genetic lengths, seen separately from male and female meioses. Several interesting generalizations emerge from an inspection of Table 6.1. The average recombination frequency per unit length (cM per Mb) varies over a broad range from 0.73 to 1.46 for male meioses and 1.09 to 1.81 for female meioses. Smaller chromosomes tend to have proportionally greater genetic lengths, but

this effect is by no means uniform. Recombination along the X chromosome (seen only in females) is markedly suppressed compared with autosomal recombination.

Leaving the details of the genetic map aside, the current version is an extremely useful

tool for finding genes on almost every chromosome. As this

map

is used

on a broader

range

of individuals, we should start to

be able to pinpoint potential

recombination hot

spots

and explore whether these are

common throughout

the

human

population or

whether some or all of them are allelic variants. The present map is already a landmark accomplishment in human biology.

GENETICS IN THE PSEUDOAUTOSOMAL REGION

Meiotic recombination in the male produces a special situation. The male has only one X and one Y chromosome. These must segregate properly to daughter cells. They must pair with each other in meiotic metaphase, and by analogy with the autosomes, one expects that meiotic recombination will be an obligatory event in proper chromosome segregation.

198 GENETIC ANALYSIS

Figure 6.30 Pairing between the short arms of the X and Y chromosomes in male meiosis.

The problem

this raises is that the X and Y are very different in size,

and much of these

two chromosomes appear to share little homology. How then does recombination occur

between them? It turns out that there are at least two regions of the Y chromosome that

share close

enough of the X to allow recombination. These are called

pseudoautosomal

regions,

for reasons that will become apparent momentarily.

 

The major psuedoautosomal region of the Y chromosome is located at the tip of the

short arm. It is about 2.5 Mb in length and corresponds closely in DNA sequence with the

2.5 Mb short arm terminus of the X chromosome. These two regions are observed to pair

up during meiosis, and recombination presumably must occur in this region (Fig. 6.30). If

we imagine an average of 0.5 crossovers per cell division, this is a very high recombina-

tion rate indeed compared to a typical autosomal region.

 

Since the Y chromosome confers a male phenotype, somewhere on this chromosome

must lie a gene or genes responsible for male sex determination. We know that this region

lies below the pseudoautomal boundary, a place about 2.5 Mb from the short term telo-

mere. Below

this boundary, genes appear to be sex linked because, by definition, these

genes must not be able to separate away from the sex determination region in meiosis. A

genetic map of the pseudoautomal region of the Y chromosome is shown in Figure 6.31.

There is a

gradient of recombination probability across the region. Near the p

telomere,

all genes will show 50% recombination with the sex-determining region because of the obligatory recombination event during meiosis. Thus these genes appear to be autosomal, even though they are located on a sex chromosome, because like genes on autosomes they

Figure 6.31 Genetic map of the pseudoautosomal region of the X and Y chromosomes.

 

 

 

 

GENETICS IN THE PSEUDOAUTOSOMAL REGION

199

have a 50% probability of being inherited with each sex. As one nears the pseudoautoso-

 

mal boundary, the recombination frequency of genes with the sex determination region

 

approaches

a more normal value, and these genes appear

to be almost completely sex

 

linked.

 

 

 

 

 

 

Recently data have been obtained that indicate that a second significant pseudoautoso-

 

mal region

may

lie at

the extreme ends of the

long arms

of the X and Y chromosomes.

 

About 400

kb

of DNA

in these regions appears

to consist

of homologous sequences, and

 

a 2% recombination frequency in male meioses between two highly informative loci in these regions has been observed. The significance of DNA pairing and exchange in this region for the overall mechanism of male meiosis is not yet known. It is also of interest to examine whether in female meiosis any or all of the X chromosome regions that are homologous to the pseudoautosomal region of the Y chromosome show anomalous recombination frequencies.

BOX

6.4

 

 

 

 

 

MAPPING FUNCTIONS: ACCOUNTING

 

 

 

 

 

FOR

MULTIPLE RECOMBINATIONS

 

 

 

 

 

If

two markers are not close, there is

a

significant

chance

that multiple

DNA

crossovers may occur between them in a particular meiosis. What one observes experi-

 

mentally is the net probability of recombination. A more accurate measure of genetic

 

distance will be the average number of crossovers that has occurred between the two

 

markers. We need to correct for the occurrence of multiple crossovers in order to com-

 

pute the expected number of crossovers from the observed recombination frequency.

 

This is done by using a mapping function.

 

 

 

 

 

 

The various possible recombination events for zero, one, and two crossovers are il-

lustrated schematically in Figure 6.32. In each case we are interested in correlating the

observed number of recombinations between two distant markers and the actual aver-

 

age

number of crossovers among the DNA strands. In all the examples discussed be-

 

low it is important to realize that any crossovers that occur between sister chromatids

(identical copies of the parental homologs) have no effect on the final numerical re-

sults. The simplest case occurs where there are no crossovers between the markers;

 

clearly in this case there is no recombination between the markers. Next, consider the

 

case

where there is a single crossover between

two

different

homologs

(Fig. 6.32

b ).

The

net result is a 0.5 probability of recombination because half

of the sister chro-

matids will have been involved in the crossover and half will not have been.

 

 

When two crossovers occur between the markers, the results are much more com-

 

plex. Three different cases are illustrated in Figure 6.32

 

c . Two single crossovers can oc-

cur, each between a different set of sister chromatids. The net result, shown in the figure, is that all the gametes show recombination between the markers; the recombination frequency is 1.0. There are four discrete ways in which these crossovers can occur. Alternatively, the two crossovers may occur between the same set of sister chromatids. This is a double-crossover event. The net result is no observed recombination between the distant markers. There are four discrete ways in which a double crossover can occur. Note that the net result of the two general cases we have considered thus far is 0.5 recombinant per crossover.

(continued)

200 GENETIC ANALYSIS

BOX 6.4

(Continued)

Figure 6.32

Possible crossovers between pairs

of genetic markers and the resulting meiotic re-

combination frequencies that would be observed between two

markers (vertical arrows) flanking

the region.

(a)

No crossovers.

(b) One crossover.

(c) Various ways in which two crossovers can

occur.

 

 

 

 

 

(continued)

 

 

 

 

 

 

 

WHY

GENETICS NEEDS DNA

ANALYSIS

201

 

BOX

6.4

(Continued)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

The final case we need to consider

for two crossovers are those

in

which

three of

 

 

 

the four paired sister chromatids are

involved; two are used once

and one

is used

 

 

 

twice. There are 12 possible ways in which this can occur. Two representative exam-

 

 

 

ples are shown in Figure 6.32

 

c . Each results in half

of the DNA strands showing a re-

 

 

combination event between distant markers, and half showing no evidence for such an

 

 

 

event. Thus, on average, this case yields an observed recombination frequency of 0.5.

 

 

 

This is also the average for all the cases we have considered except the case where no

 

 

 

crossovers have occurred at all. It turns out that it is possible to generalize this argu-

 

 

ment to any number of crossovers. The observed recombination frequency,

 

 

 

 

obs

, is

 

 

 

 

 

obs 0.5 (1 P

0)

 

 

 

 

where

P 0 is the fraction of meioses in

which no

crossovers occur

between

a particular

 

 

 

pair of markers.

 

 

 

 

 

 

 

 

 

 

 

 

It is a reasonable approximation to suppose that the number of crossovers between

 

 

 

two markers will be given by a Poisson distribution, where

 

 

 

 

represents the mean

 

 

number of crossovers that take place in an interval the size of the spacing between the

 

 

 

markers. The frequency of

n

crossovers predicted by the Poisson distribution is

 

 

 

 

 

 

P n

n exp(

)

 

 

 

 

 

 

 

n !

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

and the frequency of zero crossovers is just

 

P

0 exp( ). Using this, we can rewrite

 

 

 

 

 

 

obs

0.5 (1 exp( ))

 

 

 

This can easily be rearranged to give

 

 

as a function of

 

obs

:

 

 

 

 

 

 

1n(1 2 obs )

 

 

 

The

parameter

is the true measure of mapping distance corrected for multiple

 

 

crossovers. It is the desired mapping function.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

WHY GENETICS NEEDS DNA ANALYSIS

In almost all of the preceding discussion, we assumed the ability to determine genotype uniquely from phenotype. We allowed that we could always find heterozygous markers when we needed them, and that there was never any ambiguity in determining the true

genotype from the

phenotype. This is an ideal situation never quite

achieved in practice,

but we can come very close to it by the use of DNA sequences as genetic

markers.

The simplest

DNA marker in common use is a two allele polymorphism—a single inher-

ited base pair difference. This is shown schematically in Figure 6.33. From the DNA sequence it is possible to distinguish the two homozygotes from the heterozygote. Earlier, in Chapter 4, we demonstrated how this can be accomplished using allele-specific PCR.

202 GENETIC ANALYSIS

Figure 6.33 Example of a simple RFLP and how it is analyzed by gel electrophoresis and Southern blotting. Such an allele can also be analyzed by PCR or allele-specific PCR, as described

in Chapter 4.

An alternative approach, less general but with great historical precedent, is the examination of restriction fragment length polymorphisms (RFLPs). Such a case is illustrated in Figure 6.33. Where a single-base polymorphism adventitiously lies within the sequence recognized and cleaved by a restriction endonuclease, the polymorphic sequence results in a polymorphic cleavage pattern. All three possible genotypes are distinguishable from the pattern of DNA fragments seen in an appropriate double digest. If this is analyzed by Southern hybridization, it is helpful to have a DNA probe that samples both sides of the polymorphic restriction site,

since this prevents confusion from other possible polymorphisms in the region of interest.

The difficulty with two-allele systems is that there are many cases where they will not be informative in a family linkage study, since too many of the family members will be homozygotes or other noninformative genotypes. These problems are rendered less serious when more alleles are available. For example, two single-site polymorphisms in a re-

gion combine to generate a four-allele system. If these occur at restriction sites, the alleles are both sites cut, one site cut, the other site cut, and no sites cut. Most of the time the resulting DNA lengths will all be distinguishable.

The ideal DNA marker will have a great many easily distinguished alleles. In practice, the most useful markers have turned out to be minisatellites or variable number tandem

repeated sequences (VNTRs). An example is a block like (AAAG)

n situated between two

single-copy DNA sequences. This is analyzed by PCR from the two single-copy flanking

regions or by hybridization using a probe from one of the single-copy regions (Figure

6.34). The alleles correspond to the number of repeats. There are a large number of possi-

ble alleles. VNTRs are quite prevalent in the human genome. Many

of them have a large

Figure 6.34 Use of PCR to analyze length variations in typical VNTR. In genetics such markers are extremely informative and can be easily found and analyzed.

 

 

DETECTION OF HOMOZYGOUS REGIONS

 

203

number of alleles in the actual human population, and thus they are very powerful genetic

 

 

markers. See, for example, Box 6.5. Most individuals are heterozygous for these alleles,

 

 

and most parents have different alleles. Thus the particular homologous chromosomes in-

 

 

herited by an offspring can usually be determined unambiguously.

 

 

 

 

 

 

 

 

 

BOX 6.5

 

 

 

 

 

A HIGHLY INFORMATIVE

POLYMORPHIC MARKER

 

 

 

 

A particularly elegant example of the power of VNTRs is a probe described by Alec

 

 

Jeffries. This single-copy probe which detects a nearby minisatellite was originally

 

 

called MS32 by Jeffries (MS means minisatellite). When its location was mapped on

 

 

the genome, it was found to lie on chromosome 1 and was assigned by official desig-

 

 

nation D1S8. Here D

refers to the fact that

the marker is a DNA sequence, 1

means

 

 

that it is on chromosome 1, S means that it

is a single copy DNA sequence,

and 8

 

 

means that this was the eighth such probe assigned to chromosome 1. The power of

 

 

D1S8 is illustrated in Figure 6.35. The minisatellite contains a

Hin f I

cleavage site

within each 29 base

repeat. In addition some repeats contain an internal

 

Hae

II cleav-

Figure 6.35 A highly informative genetic marker D1S8 that can be used for personal identity

determinations.

(a) Repeating DNA structure of the marker.

(b) PCR production of probes to an-

alyze the marker.

(c) Typical results observed when the marker is analyzed after separate, partial

Hae

II and Hin

f I digestions.

 

(continued)

204

GENETIC ANALYSIS

 

 

 

 

 

 

 

 

BOX

6.5

(Continued)

 

 

 

 

 

 

 

 

age site. When appropriately chosen PCR primers are used, one can amplify the region

 

 

containing the repeat and radiolabel just one side of

it. Then

a partial digestion

with

 

the

restriction

enzyme

Hae

II or Hin

f I generates a

series of DNA bands whose sizes

 

reflect all of the enzyme-cutting sites within the repeat. This reveals not only the num-

 

ber of repeats but also the locations of the specific

 

 

Hae

II sites. When this information

 

is combined, it turns out that there are more than 10

 

 

70

possible alleles of this sequence.

 

Almost every member of the human population (exempting identical twins) would be

 

 

 

expected to have a different genotype here; thus this probe is an ideal one not only for

 

 

genetic analysis but also for personal identification.

 

 

 

 

 

 

 

By comparing the alleles of D1S8 in males and in sperm samples, the mutation rage

 

 

of this VNTR has been estimated. It is extremely high, about 10

 

 

3 per meiosis or 10

5

higher than the average rate expected within the human genome. The mechanism be-

 

 

 

lieved to be responsible for this very high mutation rate can be inferred from a detailed

 

 

analysis of the mutant alleles. It turns out that almost all of the mutations arise from

 

interallelic events, as shown in

Figure

6.36. These

include

possible

slippage

of

the

 

DNA during DNA synthesis, and unequal sister chromatid exchange. Only 6% of the

 

 

 

observed mutations arise from ordinary meiotic recombination events between homol-

 

 

 

ogous chromosomes.

 

 

 

 

 

 

 

 

Figure 6.36

Recombination events that generate diversity in the marker D1S8.

(a) Intra-allelic

recombination or polymerase slippage, a very common event.

(b) Inter-allelic recombination, a

relatively rare event.

 

 

DETECTION OF HOMOZYGOUS REGIONS

Because the human species is highly outbred, homozygous regions are rare. Such regions can be found, however, by traditional methods or by some of the fairly novel methods that will be described in Chapter 13. Homozygous regions are very useful both in the diagnosis of cancer and in certain types of genetic mapping. The significance of homozygous regions in cancer is

shown in Figure 6.37. Oncogenes are ordinary cellular genes, or foreign genes that under appropriate circumstances can lead to uncontrolled cell growth, that is, to cancer. Quite a few oncogenes have been found to be recessive alleles, ordinarily silenced in the heterozygous

Figure 6.37 Generation of homozygous DNA regions in cancer.

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