Rat Gene Mapping Using PCR-Analyzed Microsatellites
Tadao Serikawa,* Takashi Kuramoto,* Pascale Hilbert:* Masayuki Mori,* Junzo Yamada,*
Christopher
J. Dubay,t Klaus Lindpainter,g Detlev Ganten! Jean-Louis Guhnet,**
G. Mark Lathrop’ and Jacques S. Beckmannt
*Institute
of Laboratory Animals, Faculty of Medicine, Kyoto University, Kyoto 606, Japan, ?Centre d’Etude du Polymorphisme
Humain, 75010 Paris, France, $IRIBNH, Campus Erasme, Brussels I070, Belgium, “German Institute
for
High Blood Pressure and
Department of Pharmacology, University of Heiderberg,
0-6900
Heiderberg, Germany, and **Institut Pasteur de Paris, 75724 Paris
Cedex 15, France
Manuscript received February
6 ,1992
Accepted for publication March 20, 1992
ABSTRACT
One hundred and
seventy-four rat loci which contain short tandem repeat sequences were extracted
from the GenBank
or
EMBL data bases and used to define primers for amplification by the polymerase
chain reaction (PCR) of the microsatellite regions, creating PCR-formatted sequence-tagged micro-
satellite sites (STMSs).
One hundred and thirty-four STMSs for 1 18 loci, including 6 randomly cloned
STMSs, were characterized: (i) PCR-analyzed loci were assigned to specific chromosomes using a
panel of rat
Xmouse somatic cell hybrid clones. (ii) Length variation of the STMSs among
8
inbred
rat strains could be visualized at
85 of 107 loci examined (79.4%). (iii) A genetic map, integrating
biochemical, coat color, mutant and restriction fragment length polymorphism loci, was constructed
based on the segregation of
125polymorphic markers in seven rat backcrosses and in two F2 crosses.
Twenty four linkage groups were identified, all of which were assigned to a defined chromosome. As
a reflection of the bias for coding sequences in the public data bases, the STMSs described herein are
often associated with genes. Hence, the genetic map we report coincides with a gene map. The
corresponding map locations of the homologous mouse and human genes are also listed for compar-
ative mapping purposes.
T
HE construction of a detailed rat genetic map is
important to exploit the potential of the rat as
a n experimental animal (GILL
et
al.
1989). Until now,
progress in rat gene mapping
has relied largely on the
use of somatic cell-hybrid clone panels (YOSHIDA
1978, SZPIRER
et
al.
1984; YASUE, SERIKAWA
and
YAMADA
1991
;
YASUE
et
al.
1992), and precise chro-
mosomal localizations have been determined by
insitu
hybridization
(KANO, MAEDA
and SUCIYAMA
1976;
MORI
et
al.
1989; TAKAHASHI
et
al.
1986;
ZHANC
et
al.
1988). In contrast, linkage information has been
very limited. A large collection of informative genetic
markers has not been available for linkage analysis
and mapping until recently. Consequently, only 13
linkage groups were known today in the rat, of which
only 6 have been assigned to a specific chromosome
(LEVAN
et
al.
1991; HEDRICH
1990).
A new class of polymorphic markers, broadly re-
ferred to as microsatellites, has recently been applied
to human and mouse genetic studies. These sequence
tagged microsatellite sites (STMSs) consist of simple,
tandemly repeated mono-
to
tetranucleotide sequence
motifs flanked
by
unique sequences, that serve as
primers for polymerase chain reaction (PCR) amplifi-
cation. Variability at these sites is mostly due to a
variation in the number of repeat units in the motif.
As
a result of the very small size differences (as few as
Genetics 131: 701-721 (July, 1992)
a single nucleotide base pair), visualization
of
the
length polymorphism can often be
achieved on
4%
agarose gels. Although for smaller size differences
resolution may require electrophoretic separation of
allelic fragments on denaturing sequencing gels.
STMSs found in human, mouse and cattle have
been shown to be highly polymorphic and randomly
distributed throughout the genomes (HAMADA and
KAKUNACA 1982;
HEARNE
et
al.
1991
;
LITT and LUTY
1989; LOVE
et
al.
1990; MONTACUTELLI,
SERIKAWA
a n d G U ~ N E T
1991
;
M O Y Z I ~
et
al.
1989;
TAUTZ
1989;
WEBER 1990; WEBER and
MAY
1989). There are
numerous STMSs in the eukaryote genome; for the
(dT-dG),A(dC-dA), motif alone it is estimated that the
number of these sequences
in the mammalian genome
exceeds
IO5
copies per haploid genome (HAMADA,
PETRINO
and
KAKUNACA
1982).
A search
within the public data bases of human
sequences for the
presence of microsatellite motifs
yielded some 368 potentially polymorphic loci (WIL-
702
T. Serikawa
etal.
genes
(or
in
their
flanking sequences). Primers
for
PCR amplification were chosen
to define each
of
these
as STMSs (PCR-formatting). These were character-
ized
for
their potential variability among different rat
strains and used to construct
a
genetic
map of
t h e
rat.
MATERIALS AND METHODS
Screening of rat microsatellite loci and design
of
primer
sequences:
GenBank (version 63) and EMBL (version 22+)
were screened for rat sequences which contain microsatel-
lites, following the same procedure as described in BECK-
MANNand WEBER
(1 992). Searches were performed using
the FIND protocol of the “Genetics Computer Group Se-
quence Analyses Software Package” of the University of
Wisconsin, version 6.1 (DEVEREUX,
HAEBERLI
and SMITHIES
1984) for all simple
tandemly repeated rat sequences, having
a repeat unit of 4 bases or less, with total length for the
uninterrupted stretch of repeats of at least 20 base pairs
(WEBER
1990).
Independent entries from different non-overlapping
parts of the same gene were clustered as a single “locus.”
All redundant synonymous entries were removed. In several
instances, upstream and downstream sequence comparisons
had to be performed to ascertain identity. Satellite DNA
(e.g.,
RATSIMPA) and artefactual microsatellites (such as
mRNA poly(A) tails or those resulting from tailing or clon-
ing experiments) were also eliminated. Moreover, members
of large multigene families such as the MHC, rDNA and
immunoglobulin gene families were combined into a single
entry. (These loci are included even though they are unlikely
to yield an easily interpretable locus-specific polymorphism.)
This yielded 174 “unique” loci (excluding thus repetitive
DNA and large multigene families), each containing at least
one microsatellite.
Random cloned STMSs were derived from a rat total
genomic library, by screening for AC dinucleotide repeats,
and sequencing of positive clones
to determine PCR
primers.
Primers 16-26 nucleotides long were selected using the
“OLIGO” computer program (RYCHLIK
and RHOADS
1989)
and were custom synthesized by GENSET (France).
PCR and gel electrophoresis:
PCR was performed using
a
standard tube type PCR apparatus (DNA thermocyler
PJ
1000, Perkin-Elmer Cetus) and microtiter plate type PCR
apparatus (LEP PREM 111, Techne or
MJ research program-
mable thermal cycler). The reaction volume was 25
111.
Final
concentrations were: 10 mM Tris-HC1, pH 8.4; 50 mM KCI;
0.1% Tween 20; 125
PMdATP, dCTP, dGTP, dTTP
each.
MgCln concentration was adjusted to 1-3 mM according to
a preliminary titration (LOVE
etal.
1990). One hundred
nanograms of genomic DNA and 0.6 units of Taq DNA
polymerase (Promega) were used. Programming of temper-
ature and time cycles was as follows: 3 min at 94”, 35 cycles
of 1
min at 94”,
1min
at50”, 55” or
60”
and
30sec at
72”, followed by a final elongation step of 3 min at
7 2 ” .
PCR products were usually resolved
on 4%
agarose gel
electrophoresis (NuSieve 3:
1 agarose, FMC bioproduct) and
stained by ethidium bromide.
In the analyses of the F2 cross, in cases where polymor-
phism could not be detected on agarose gels, radioactively
labeled PCR amplification products were separated by elec-
trophoresis on standard denaturing sequencing gels, a
method enabling the visualization of small size differences.
Polymorphism was visualized after autoradiography.
Length polymorphisms and genetic linkage study:
The
rat inbred strains ACI/N, BN/N, F344/N, IS/Kyo, SHR/
Kyo, TM/Kyo, WTC/Kyo, ZI/Kyo were raised at the Insti-
tute of Laboratory Animals at Kyoto University. The prog-
eny from seven backcross matings (ACI
XWTC)
XWTC,
(ACI
XF344)
XF344, (BN
XWTC)
XWTC, (SHR
XWTC)
XWTC, (SHR
XBN)
XBN, (ZI
XBN)
XZI and
(TM
XZI)
XZI were obtained from the same facility. The
FS animals from SHRSP and WKY are the same as those
described in HILBERT
et al.
(1 99 1). High molecular weight
DNAs were prepared from liver or spleens from all
10inbred rat strains (including the parental strains of the FP
progeny), and backcross and FP progeny, following standard
protocols. All DNA samples were dialyzed and stored in a
10 mM Tris-HC1, 0.1 mM EDTA buffer (pH 8.0).
Table 1 lists 134 PCR-formatted markers corresponding
to 1 18 loci, which were used for chromosomal assignment
using somatic cell
hybrid clones and/or linkage analyses.
Twenty nine allelic forms of 16 biochemical loci, 9 restric-
tion fragment length polymorphism (RFLP) loci, three coat
color loci and one mutant locus (Table 2) were also typed
in the seven backcross sets.
Three loci AGT, REN and
SCN2A were typed with both RFLPs and STMSs. The
segregation patterns in the backcross progeny of the micro-
satellite loci and other markers were first analyzed with
“GENE-LINK”
(MONTAGUTELLI
1990). More detailed two
point and multipoint analyses were subsequently performed
using the “LINKAGE” and “GMS” programs (LATHROP
and
LALOUEL
1984; LATHROP
et aE.1988) with genotypes from
all nine crosses. The GMS programs permits testing of a
large number of alternative orders, including all permuta-
tions of four adjacent loci and higher order permutations
involving closely linked groups of loci, during map construc-
tion. Anchor markers were chosen based on the criterion
that the
relative placement of these loci was
unchanged
within 1OO:l odds of the best supported order.
Chromosomal assignment
of
genes:
In this study, 18 rat
X
mouse somatic cell hybrid clones, segregating all individ-
ual rat chromosomes were used. The clones were developed
by fusing Sp2/0-Ag14 myeloma of BALB/c mice
origin
with lymphocytes of a male ACI/N rat. The panel of seg-
regation of rat chromosomes and assignment of biochemical
genes using the clones has already been reported (YASUE,
SERIKAWA and
YAMADA
1991). DNA samples were
prepared
from all somatic cell hybrid clones and from the parental
Sp2/0-Ag14 myeloma cells. The rat-specific amplification
products for the microsatellite regions were examined in
each hybrid clone, and compared to the known segregation
pattern of individual rat chromosomes in this panel.
In
this
manner,
itwas possible to assign most microsatellites to a
particular chromosome according to the most concordant
segregation pattern.
RESULTS
Development
of
rat microsatellites:
One
hundred
and seventy-four “unique”
loci, each
of
which contains
at
least
20
uninterrupted bases
of a repeat
of mono-
to
tetranucleotides were extracted from
the
GenBank
and
EMBL
data
bases.
Of 364
STMSs, 196 (53.8%)
were dinucleotides repeats, 42 were tri- and
91
were
tetranucleotide repeats (1 1.5% and 25.0%,
respec-
tively;
for a
more detailed description of
the
results
of this search, see
BECKMANN
a n d
WEBER
1992).
.p! m e ~n
2
~e4 m -2 2 2 "
~ ~ ~*
~2
b
a2
2
~2
-2
2
~2
2
a~%
m-
5
~ ~ - w M a o ~ w e 4I68
3 b
M
m-
- -
2
o
= . S ?
o
m Io,
E
- v -In- $? 4
-s 9 . Y Y z 9 . -s Y y k . -s Y b k . k . 8 -s Y Y
Z s s
, B.ti
o e4
-3
W
-0q
's"
G u m m2
S2
4 4 % &(m2
Y
u
m
5
Sbe4
r J m u m w bq b$ -? ~ G<
~6
- < m8
r
b
Y
F
a
~
G
~
~
b
8
s
F
E
b
u
b
U G Z G
o
F
~
B
t
8
%
4
P
t
W
2
i
B
B
-8
8
'I
-
W -
'8
.8
m l r
3
-1
..
I
Im
Q
E
4
!l
4
.I
3
f
-8
P a
0
t
U Y b
u u <
b bo
o
$ 5
$i
ssgs
o
b
3
U b
o < u u o
o o b b o u o Y
b < U U < % b< b b b o < o < o b o c o o u < u b b < <
b o U 4 b o
b b
u < < b < <
<
W U b
o u
Ug 2 g g g 3 2
u's2Yqs5'ss8,8%'sY$osyo~2
y S g 2 8 2
Og
5 5 8 e g 3 5 ~ y 4 s ~ 4 s ~ ~ g y 2 y ~ 3 3 5 Y 5 ~ ~ y g g 5 u b < ~ b
b < U b U <o u u < < u < b o b P b b u u <
< < u < u ~ o o < b ~ o ~ o ~ u ~ < u b o b b b u o ~ o < b b ~ ~ < u ~ b ~
< b b < < < o b u b < c b b b b < b b b < u b < < < < u < b u o b u b b U b O b < b b U < < < O
' EpE
~ u ~ ~ ~ o ~ < u o u o u ~ o ~ ~ ~ < < o o o b b < o ~ < u o < u ~ ~ b < C o
b o < < < < < b < < b < o o ~ S 3 ~ ~ s s ~ ~ 6 s ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ e Y ~ 4 g S ~ ~ s g
b < b U U bo u b u 4
b o u < < p b u b w < b b
o b u u b b < u o p
~ u b o o o b u < u u < b < o o < Y u b u <
~ < o b b < ~ b u u y u o b < u b o < o u ~ < u b u o u
u < o u u <
s s e 3 5 ~ y x ~ s s ~ g ~ ~ ~ q ~ Y 6 s ~ s U ~ 3 ~ 3 ~ 5 ~ ~ 5 ~ y ~ q ~ b u
b b < ~ < < u < ~ u u u < ~ u u b u b < u < < ~ b o b b w b o o o u u < u o
C b < b o r 3 <o 8 u o U b
b o b o
bc
b b o ~ u U - € b o u < o o u
~ < o o o < o b u o u o < b b < ~ ' s o o o
U < U b U <2
*
e s ~ Y ~ 6 ~ s ~ ~ ~ d ~ ~ Y o b < U U o < o b u b < ~ < < < b o u b o b <
o U U b < u o o I b u b b U U ~ b C b b < ~ < < < u b~ ~ ~ ~ ~ ~ ~ ~ ~ u ~ ~ d b ~ ~ b o U b b < u u b < o u ~ u ~ o ~ ~ b o o < ~ o < < u u <
< < < U Pu o b o Z b < b o b o
b u b u c o
u b b u o u b u < < < b < o u u o b b < < b u < o o b
bC3bb.u<
u - t p u < < b < o
~
~
~
r
m.
~
(D~
o
~
m~
mg
-
I
g
g
o
o
~
o
b
Z d z 2 2 E 2 d G 4 C 4 d C 4 d 2 Z d z z d d
2
2
2 2 z
* Q 1 0U
.Y
h p z b p b b b b b
U
2
g <
e m #8 4
Z G
4o e 9
: J S d - g-
s $ g
c(
$
$
g
q
u
2
<
% x z g
8
<
a
<
a
2
$
z
4
9
2
w
z
< < S
C 4 r n r n b z z b b b b b
$ b d < < $ d
d db b $
< < < < < & g
u
u
b b b b b b b b b b
2
2:
2W
e
Inr.-
Q F I m v- In-
- - - z - z - z - -
c o - - z z z - z
2 - 2l
l
l
g
8 3
A
.*
2
= l .
s e ,
m
z
L5
M
S
k
.em
C
J
0
M n
3
-
2
S
v
e
.-
.-
e,
B
E
E
xE?
z
2
c 5 m
E ? !
c
S ? - & Z . E
E f $ $ " &
0a
t a g ?
Z
8
Z
E
g.
*
q
e
k
"
e
,
P
.-
c
-.-
S
i
E
E . 52
8
.-
;
4
W3
- b - p *
1
E g ; e , s
E D .
$ < < < - € 2 2
4!
%
2e 8 %
5
E
.P
C
0 F,
8
Y
z
.-
%
<
C
.$
;
E
e,
v)
W
S
8
d
.-
S
g
8
PI.S
-
e
I
W
T
U
C
V
0
.m
I
.-
k
x
<
I
L
D.
8
E
8
e
E
3
Y8
i?
r
e
C
V
.-
U
F
h
m
M
m
W
.-
2
e,5
$
.C
4
+
'E
5
b
Ik
C
m
'3
2
B
z
2
C.m
3
m.m
CI CI
C
.-
.-
I e,
D.
c.l
2 -
z
c.5 5
.2
4
d
3
a n
.-
m c
g
p
3
$
E &
B p .
v,U
2
2
-
2
2
2
2
:
"o r - + p . Q 3 * 2 -
-
-1
se
53
8 E
S
2
- l $
9
3
U704
T. Serikawa et al.
I
:
.NO.+
-
O,2
m2
2
-
-
z
2
In l - m-
0
2
2
3
mm - m I n - o * z 2 m P -
m -, = 2 2 2 3 , , ,
W Oo - w a z
I
hIn-
CI
n-
b
%
5
b,E
012
Se,
D < O G b U b = . +<:g%* 0 5 % a2
W - % F b b b D 00 % m m
2
%
*
U
*
*
2
-
m
*
h
u s u
bB S u Y Y Y b
U b U U b b < b b b b < 5S S g . S Y
S
S
k
k
S
3
Y - z Y S 9 Y k Y Y z
c q $ g
E ~ O b U U U <=,
U2
%E
$
3
g
!% 4 % !% b %2
U b
b <
$ $ S
3 %
U$ ' s ' s $ g y s q g y
y < < u W b b u b
$ U " b < U W U <
s's3EqYsEsg
qg
, 4 2 S S g ~ , b y ' s t ;
.E
&
< < D D U < D b U b< < U p b U
D < b U < U < U b
U U < D 1 3 U < b b
U 1 3 b D U D U D b D
5
<1313U<bUbb<
a
O D U b b < b D b D 9. $j U U D b ~ D U U D U
b U < < b D < b b U D b D D U < b b U O D3bb1313UbUb13 < D b b U b U U D b
2
U O b < ~ D U U b <0
a o m nm *
2 Z 2 2 2
B
h 0
Ug 5
.Y
$
2
%
s u
8
3
2
$ 2
-4B D !
c42
S
b b P- n
U
D
g $
UQ
u o o < u
$ S b
$ g $
Y
D
3
U D b D C b < <Q
< D * O U D U D b b D < b S D D D O O b U D D < ~ U b < < < U b < < U <b < b b < D < < U b ' s
< < u 1 3 u u < u D < y ~ b D < u b < < ~ < ~
bgY8EYb,b4Ybo
< < U < D b u ~ u < ~ ~ u o ~ u ~ < <
D D < b b b b W < D < b < b U b D U D ~ U D < bU u b b b 1 3 b < U a * U U D D U D D b D U U ~ U b b b D < U U < ~ U
13 b U U b b W D - € b u U D < b ~ D b U U D U ~ U b U ~ U < ~ b b U <
U b < b < U D b U U U + D b < b b b < U b O U b b < b D U < U D b U b b D b b b D b - € b U b D U U U b D b b b D b < D U U b < < D b b b
D D < b < U < b b b U < D u D ~ u u b D u ~ b u b b ~ u D u b u ~ ~ 4 < ~ < ~ 1 3 D U b b U ~ ~ < & ~ b D b b b ~ D U b < ~ D < U U D D U U
D ~ U U ~ < < ~ b b b b b ~ < b < ~ < b D < ~ < U U b ~ 1 3 U U b b ~ D U b U U ~ ~ b U D D D D ~ < ~ < U D U b D ~ U b ~ b D b < U U < U < U b ~ u b D u u u b b b D D ~ D < D b < D u < D ~ u u u ~ b D D u D b < b
U b
b U U b
4 p 4 Y U < u b
i%4,b
$ 2
4
U $ 4 < 4 U b < U b b Ob 1 3 4 1 3 u u b o b ~ s
U D b b < D U bs ' s ~ S ' s b ~ ' s ' s ~ y ~ ~ g ' s E g ' s E ~ ' s ~
b D b D D D W U D < U ~ b < ~ b < ~ U D ~ D's
1 3 U < ~ < b ~ < U ~ b ~ U U ~ b 1 3 U 1 3 ~ ~ U U ~ D ~ D 1 3 < U U b D Uy D ~ ~ y B y 4 B s ' s 4 ' s " q s y ~ g g Y S 3 ~ $ y ~ E g ' s 4 $ s ~ B 4
0.I
n P - W f
2
"2
m2
P - n m 2
(0 m n
e D!
2 2 c 4 D ! e c
2 Z 2 Z D ! D ! D ! c 4 A 2
2
%
m-
2
00 0.I
X Z a
h
g < &
m m &$
G
HS I 4
ab
$ 2 2
: $ : h -
S 2 E E E
b2 d S d b
b b b b4
g
D ! 2 $
E
u
u
g
m
3
5
a ~ ~ ~ e lg -
d
d
D ! & &d K 4 d d
P
3
S
I
3
9
H
P)
:"
d i?
2
ij
g
rl
B
U
3g
a +
X €
2
m-
-
-
z
-
z
e M - 3 2 " - 2 2 -2
2
2
z
*
.-
C4-4
k
2
2
-
4-4E
.-
c1M
9
f
8
E
.S
.z
nP
e !
EG?
.c
D Y3
zg
m 4
a
x
8
*
e
ax
B
a
P
a
QE
4
B
. C
8
3
E
Y
9
0
X
D! U
E
.-
CP)
4-4
k
aP)
C
.-
$
.g
a
P
- " % E ,
-
6 t - G
U W1
0
m
a
-?
n
B
e
8
U"
c
Y
8
m
*
a
E
E
G
$!
Y \e
UC
P)
.-
Y
k
M C
a
5
4
z
c13
x
M
3
W
m
-
!
i
2
W
h >
.-
W
.-
ti.
W 4-4
k
M5
C B *
2
g o o
9
i i
g
4-4 I2
Z
x
.g
.S
L * &
C
.c
.-
5
-
-
ak
- v , p. cy
mi
2
z
2
" - h p . p . " cy cy0 4 Q
3 s
u
u
u
2
u
E
z E 3 u
s s 2
ggkls
322
b C J - 2
L uS
hY
m - I - m m M ~ m ~ m n I - 1 M I - O ~ n ~ m m - m n m m
m - m
" - 2 2 2 2 2 2 2 g 2 2 z z z " , - .
" m s J ~ s ; = ~ m ~h
m-
Z z
o
W % -
0 5 '
S s
4 0
2
4 * % mZ
2
Z
G
o
m
s
~u
I%
-%
mo
g g%
" -%
nm
m%
w%
m%
o
%
c . r U m G o n 5 $
4
2
$
$
g
S
Y
~
S
S
S
k
S
~
S
S
4
S
Y
' s g 2 g & S g S g $
Y
.
/
4 4h
G F F s S G o u u b o s u o 7 4
o
b
o
4 b
o b
4 00
b b 4 p
u 4
o
6
S *
zgo:
g
t:
b b &u ~ u o u o 4 ~ u o u b u 4 4 ~ u ~ b o b u ~ o u u ~ b ~ 4 ~ o 4 ~ o ~ b o b b ~ u o o o o ~ b o b ~ ~
4 4 b 4 b b U b b
~ U b b U ~ u b b 4 ~ u u b u u ~ o o o o ~ ~ b ~ 4 u u ~ 4 ~ o b b p b 4 o ~ o
U * <
u o u u 4 u ~ ~ o u
u 4 o o
b o b b o s u b 4 b 4 0 0 0 0 0 ~ b o o b " u
b 4 Uo u
b 4 4 b b 4C ~ u u u b u o u ~ ~ u u ~ u b
o
b
: S +
4 ' s ' s ~ ~ 9 9 $ ~ F 9 Y ~ ~ Y ' s : ~ $ Y ~ s s ~ ~ ~ $ ~ ~ ~ ~ ~ 5 5 ~ ~ ~ ~ Y ~ 9 ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~
b U 4 4 0 O U b b b U F
U o o u ~ b u b u ~ b ~ c b u ~ ~ ~ o ~ ~ u ~ u 4 b 4 ~ o u 4 4 u ~ b 4 4 ~ o
~
~
'
s
$
~
~
~
u
Y
8
8
$
~
~
~
~
e
e
'
s
~
~
~
~
~
$
~
~
~
~
9
~
~
y
~
~
~
~
5
~
~
5
~
:
~
t
:
Y
~
~
~
~
~
~
g s ~ ~ s d ' s y ~ ~ $ y ~ ~ s ' s s ~ ~ ~ $ g ~ y ~ ~ : ~ ~ 9 ~ ~ ~ y $ 9 ~ $ : ~ ~ 9 $ ~ ' s ' s s ~ ~ ~ : ~
~ u o b 4 b c ~ o b 4 4 ~ o b b u ~ u o ~ 4 ~ b o o b o ~ o b b u 4 u 4 ~ b ~ b ~ 4 4 b 4 o ~ u b o ~ 4
~ 4 b b o 4 ~ ~ u u u b 4 4 o 4 4 o ~ ~ ~ o ~ o ~ u b b ~ 4 ~ u o u b 4 ~ o u u ~ o u 4 b b u b u u o 4
b b 4 o o b U C b o b O 4 4 o d b o 4 o o u b o b u b u ~ b p b 4 4 o 4 o 4 o b b 4 4 o b o b b b 4 b
: Y s ~ Y Y ' s ~ ' s ~ ~ g q ~ ~ Y g ' Y $ ~ ~ s e $ $ ' s ~ ~ 9 6 $ ~ ~ y $ ~ e Y Y s ~ Y ~ s ~ 9 s ~ ~ e ~
y d s ~ Y g $ ~ s g ~ 9 y 9 g 6 5 $ 5 g Y ~ y g 9 $ g 9 y s ~ $ ~ 9 ~ $ ~ ' s s : $ , Y : g : ~ ' s ~ S $ ~ b
~ o 4 b o o u u b b b u ~ o b o c 4 b ~ u o u 4 o o b 4 b 4 o b 4 o ~ o 4 b w o 4 u u b 4 u u b o ~ b o ~
u 4 4 o b 4 4 u b 4 4 4 u & 4 o b o 4 u u 4 4 4 4 4 b b b 4 4 4 u 4 ~ o u u 4 o u o 4 o 4 b u b u 4 o o ~
u o ~ u 4 o u ~ u ~ o o u u u o o o 4 u o u b u u u o b ~ ~ 4 b o 4 o 4 b 4 4 4 u o b b u b 4 o o u b o
m 0
n n m m * -f - m - z
~~~@4=,nm2mnf-f-m2"o"
m m m n~ ~ ~ ~ ~ ~
2
2
"
~ ~ d d d d d ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ d d ~<
CI
n fn m m
" s : a d p z & g ,
4 $ - 5 . +
4
s
g 2 0 4 4
4 9
u g 2 2 . z
b b b b $ b $ $ $ $
&
bP
b9
bd
b $Z
,X
bS
b b8
b$
$p
$q
, bZ
Z
4 3 q G
o
2o
Xu
Oo
b$
z
z
x
m
4 2 2 2 d 2 d d d d 2 2 2
pz d4 & d 2 2 2 2 d d d 2
I-
-
n
d
m
e
5
z
~
z
~
;
~
z
z
z
z
z
00-
-
z
;
z
I
z
z
2
"
*
z
z
8
2
a
U
3
z
S
1
c
.-
B
g
9
cS
3
Y
C
e
Y I
m
c C
W
. C Y
e
p.c
.-
LE
4
'7o
e
.S
n !G
8
E
P
8
. d
g
I
-
o
Y
k
2
8
98
e
a
.-
L-
z
o
g
E
E,
0
W
a:
a'
*
2
-0
e
I
X
2
CI tn
2
L;:
U
i
8
J,
.-
I%
E-E9
0 U
3
z
Y
8
@
k!
td
,-.
k
'g
g
U
2
2
E!
%
T
m
c1
8
Y
LE
c
E
tl
c
W 44
.-
-
.-
m
c
2
(c1 c1
Y
8
E
c
E
tl
Y
&
W
-
.-
-
el
2
.-
eY
e
a
M
C
5
q
Y
8
L E =
"
5
g
5
&
.c
2ihk
2 2
Pc1
i
=S
c
" 6 * c
" 0
g
2 2 - 2 2 :
E
W
h
l
z
-1
Y
5
-0 4
.-
M
5
- $
f
3
L 8 Q )
s o m8
8
ME
;
'g
0P s g
B
?
9
eY
g
m
$ 2
$
. g g - Y
.-
12
4 %
g
-
c"
2
=
E
%.c
2
.i
z t i -
-
t . . c
2
2-
W '5'2
9 c5
c Wk!
5
2p p g
$
0
m t d w
3
2
" 5 7 , B S
W.z
I
y
2
s s % 32
c1
= 2 S z h & d 3 3 Z g Z
-0
E!
-
.-
I .CC
*
4
2
E
2 ' ;
8
C $ z
'd,
g
e
r
q
' P . r n r r \ " , V h
2
- 2 2
2
-1
",
a E
2
2
S ; %
1
%
706
T. Serikawa
etal.
."0 ~ p m b ~ n - ~ m n m r - ~t -n - mm - ~ r - m m a - b b m
m e
-
m2
2
2
2
2
2
2
2
2
2
e*
G
2
Z
2
2
2
2
2
2
"
m mfi In
2
h2
55
t;
2
3s
-
sei
L 4"
d
?
o
4g
4z
m
k
o
w
4VI
, U
kg
m (0m
" m f f m a d
W
-g
v
s
s
g
2
G
z
~
~
z
~
z
?
g
X
o
s
u
u
w
m
Y
g
~
u
u
u
u
^
b
o
u
o
u
<
u
^
~
u
b
~
o
o
F
:
o
o
u
u
^
o
u
s s 5 5 5 b s s s 5 2 . 5
5 9 5 k b Y b s S s 5 s
<
4
z
b J Y o b < b u
* o u o o
$ 2
:
y
4
U< < o b < b o < <
4 q u
U b < < * o
b 8 o g
<
< o o b b < b < < b u u <
U b y o o g +
@ & g E s S $ & y & & ~ ~ ~
~ y f B E q ~ g 2 2 ~ Y s Y ~ 8 Y g ~ 4 g t ; : b $
u ' u u b ~ t ; s 4 g Y t ; 5 Y g Y g u b o
2 ~ D o + b < < < o < < U u
b * < 4
o u * b u ~ b < o * < < o o < b < u b b o <
o o b o b o b b ~ o < b o 6 b o o o b u < < ~ ~ 5 b b o o b
b o b < u u b u o < u b < ~ < b
b ~ o ~ u ~ b U O O o ~ o o ~ o ~ U u t * ~ o ~ ~ b < ~ ~ ~ * u < ~ < b o ~ o < u ~ *
b o o
en
s s s ~ ~ ~ ~ ~ s s ' s y ~ t ; ~ 2 ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ y ~ Y 2 4 ~ g 4 t ; ~ y g ~ $ y 5 ~ ~ o 4
8
o ~ ~ ~ u ~ b b o o b u < u ~ ~ ~ < u u b
< u ~ b b ~ u < b o o u < o o o < b o u u u ~ s ~
.-
E
9
~ ~ d 2 d ~ ~ ~ ~ s g ~ g 2 : ~ ~ t ; Y ~ ~ ~ u b < o b v ~ b b o b < b b ~ < b o b b u b v < <
< u u ~ b < u ~ b b o b o b o o u < b b u o y b o
L
g
u b b u u u ~ u b < u < o u u < < < o < <
b o < o < u u u o < < u u b b u o o < u o o ~ u ~
b U t < U U o < ~ U U ~ o b U ~ ~ b b o < ~ ~ b u < o u b o b < b < b b o o b < ~ u b b ~ b ~
O d U O< U < <
U
t;
b
< o b b u o o v o u < b u
U * 0u u
u
Uu
pc
Y
b b o U b u ~ o u ~ < o b o b o ~ o < b < ~ < < u < u < b < o < u b b u u u b b v u < < ~ b ~
u b < u o u o b b o b < * o b o ~ o o < o ~ b u o o b o b u < b < u u b o < u < o < < u ~ b ~
b u o u < ~ o < < b b u v < o < v < o o < ~ < b b b b b b b < u b u ~ b o < u b b < < ~ ~ ~ u
o o o < b b o ~ u < b ~ ~ ~ ~ o u u o < u ~ u b < < b u * ~ < ~ * o o o o < b o o o o b u u <
o b o b u o b u b o u o o b u b < o < o b
u b ~ o b b < u u < < ~ b < b o < o o ~ < b u u v
l l
I w
2
-
m
z
02
z
z
e
2
2
am - m
o m r - ~ b md w mI -n m n
c 4 2 Z c 4 2 g c 4 G x c 4 w G x
2 z 2 2 2 c 4 2 z z z z 2
II
m
- U <er:
4 mL O <
5
t 3 u
o > m , - mS
0b
.Y b
g
* T z ~ I ; $ z zZ m a 8
2 2
e j 2 0 g s
E b b b b b b $ b $ $
S
E
E
$
E p - o & 2 $ 2
h
E
z
p
z
g z z
E
E
z
E
z
z
z
z
% d d
d d d d d d c 4 c 4
L 4*
G<
x c 4 d e r : d c 4 c 4 c 4 e r :E
B
K z m
z
-
z
-
z
-
z
-
z
z
-
Z L Z - - Z Sd
d
m m
d
m2 P e, M
E
0 4
5 '
5 k
g ;
(yg k
% g
3 %
E
t
cl
.-
s
o
%1
r y h
4
L8
H W I-1H
2
g 2
S E
9
-12e
e,
.-
Y
a
e
g
AU
2
3
2-
.S
;
h
2
$22
3& S U
5
ci?p.&f
a % %
.-
d
c-
c^
5
E a s 2
'7 aJ UJ c 'S c2.r b c
E
%
5!.
E
ox:
E
g
Wg
c1
6
U
8
-0 C.-
e
S
ko
t;5
S
aJ c) cpt8
3
E
8
LE5
L Yi
W LS
+
9e
z
dJ Yt
z
* z " " - c Q 3 v
2
2 u r y -
g g g $ s g g
2 L
3
S
UL
2-
-"
4:
Y 0 D W e 0 . C Ya
e
2
e
m C 0.-
Ya
m U E e,.-
YL
2
E
Mzi
U.-
e
a e xI
2t
Ue,
>
Y
2
5
-
k
Q
0
c
c
a
cQ
cg- 1 -
ry 1
3 2 2 Q .
x 3
C .c a
.-
l..-
L!2
1f
2
c)4
'
e
,
\ & %
2 %
2 s
4 %
92
$ 7
3
3.k
g%J
cy&
e
0 ,
c ?
.c = E
W &
4
A
S
3
d
-
v
02-
S
-2
E 2e
!2
m2
CI W 42
UP
2
.-
24 C 0.-
Ye
n4G
8
E
2 E e,.-
Y CI e, YE
i;
2
Y v e cr, C e,.-
Le
aE
Y 4 e,3
29
2
a"
e, Yh * c g " + r y
1
b 2 U Z
U
2
4
I - I n
d . m ~ a o m m d . m m I - m m a m
" - 2 2 2 2 4 3 2 2 Z m 2 2 2
Z
o o2
m4
m o3
a~
o 12
oZ
c l2
-2
"
%
9
:
-
m
m d.
E
Y
m e ht-
c
d. $1 b9
S
2
S
4Y
I- $?t-
Y
I- %o
bv d.
3
z
S
m- $1 In eS
5
InE
v
t-
m 4
S
S
c
d.- vS
43
3
o
c
v$
o
S
d.E
W
c
9 $1
v
t;
$1 b
o
W w I-E
4
$16
bY
h m
Y
5
U v h Uc
c
v mF
Y
fiY
f?
%a aU
? G
s,dt
W U
In-
2 2
%9$
- 4
-
"$?4 4 b
h m m h b
o
v m r(-
b U bY
*
$I UY
2
b U h::
v2
c
S
6
h v2
In m h vg
4
3
s
o b
S.,
2
U$ 2
2
2 b
$
b o
b t - b
.,
4 6 0
t l U$ g $
o q b o
F + - ?% S
p & $ " 0 2 p w $ 5 q f ? t ; S
u
u
~
u
~
U
~
~
~
o
~
b
b
~
U
~
t - c o b U u t - c b ~ U o ~ c o c u b ~ o c ~
U
b
~
u
t
-
~
~
~
o
U
~
~
~
o
~ c ~ ~ b ~ o U U b ~ o ~ u y U b b u c ~ c U ~ c ~ o b U ~
c
o
~
~
c
b
u
c
c
~
u
~
~
o
c
b
u
~
~
~
~
~
U t - t - U b ~ o t - , o ~ b u o t - t - 2 y g y ~ ~ 4 ~ ~ ~ t ; . , ~ S
Y ~ 8 $ b ~ ~ Y f 2 s ~ ~ 4 G ~ 2 Y S $ $ 2
~ $ ~ ~ Y ~ ~ ~ d ~ ~ ~ $ ~ e ~ ~ s ~ y ~ 4 S ~ 5 $ Y Y f ? y
' s 2 2 ~ b ~ 2 ' s y 5 q 2 ~ ~ b $ ~ ~ $ S 2 ~
c t - ~ U ~ c u ~ ~ U ~ c ~ c o ~ b o U c ~ o b b t - t - b c U b
t - u o c u o t - b o c e u b o b o u o c
c b
b b ~ c ~ o o ~ ~ u ~ o ~ U ~ U o c o U ~ c o c u b b c c o
U b t - b o u u U b ~ U U ~ t - b o c U ~ Y u U
c U u o ~ t - b ~ U o ~ c ~ t - ~ ~ o c U o ~ o c c c o U c U o
t - b U U c u b o o t - c b o t - U c U ~ ~ c c U
c o t - t - u b u t - c o u o ~ o c c o t - U o u U U c b ~
b t - u o u o t - u ~ o U U o U ~ b b o u c u c U o t -
~ ~ ~ ~ e ' s ' s ~ y ~ $ . , ~ y f ? ~ ~ ~ ~ ~ ~ q ~ ~ ~ y ~
o t - ~ u b c t - ~ U c c o U c U U U ~ t - o ~ o c o U t - t - c c c ~ o o o o t - U ~ u u t - o t - ~ u o ~ t - ~ ~ t - U U
o o ~ o t - o c ~ ~ o U u ~ U o c c U b u ~ ~ c o c U t - U c b ~ t - ~ c o ~ U o c U c b o t - o ~ ~ o b o ~ U c
o t - ~ o U b o ~ U t - t - o U b t - U u o b b U U o o b c ~ t - o U ~ o u u b u u o c ~ t - U U o c t - U t - o b o ~ b
t - c ~ c t - t - o ~ U b o o & o o o b c t - o u o o o c U o c c o ~ c b b b u b o c t - c b c b o u u o c o c b u
~ ~ U ~ ~ t - o U ~ o t - ~ o t - b U u c o c U u o o c o w o c o
c U t - c c o u U t - t - c o c U u c c o o c b b
U
c
$ 2
4
:
b e
*
W
u U o ~ b u o b ~ b U b e b t - t - b ~ ~ u ~ o u ~ ~ b o ~ U ~
8 2 U ~ ~ o o o o b o c c o ~ o ~ b q ~
U o t - U b c
Y
g w b W
t - u o u t -
S L 2 2 y ~ o o t - c o o u c
o b o " b b o c o c b o U c ~ o ~ U u o u t -
U o c c o U U
In
n
d
m m nI- m m I n m I n - m
I- a m
2 " " "
--
00 - m d . 4 m I n +m d . a m8 8 Z 2 2 Z 2 2 2 d d Z 2 2 2 2 2 2 2 Z & & 2 d d
m-
2
m
2
2
CI
-
-
<
G
2
k
g
n
2 :
<
a
e 2
X &
w p :
J 4
I - 2
0~
I l ta
- d Wa
S
z
~
S
:
S
~
Z
%
h
8
c
$ 2 2 2
at - E $ $
s
$
%
u
p
$
$
$
E
w
2 2 2 %
g 2
I - 2 2 2
: & & X d d d d d d d d d d d & X2
d dz
z
h
I
8
E
g
3
E8
E
I;; I.-
Y.-
YC
3
.s
Cm
-
a
U .I I
e
c"
. C I W m.-
v U C.-
Qc
2
.-
U
C
a
e
CO
CI
2 2 2 2
e,
i
g.
.5
e, 71 Q3
k
x
.-
Ye, L C
a"
c a a .C d ce
I
b
8
e
P,
c
m
.-
Y-
e
a
e, Y2
Q
-
6
8 s
g
.S
82
c ae
k
S ac
a rD m% Z Z L
e, 71 Y
B
8
.-
m
r"
d,
c
8
9
e
ii
a"
c x
p
8
E
c
$
.-
x Y.-
t
e
e, Ia
L m a8
W W W W c 0.-
Ie
3
p. Ma
2
-
0.-
Y.-
Cd
G
r-
m C.(
Z " Z Z m - " - m Z d. Z
c,
0
M
Q
I
P
B
P, .f 3 TI 2
c)
c V
% "
a
.-
4L:
4
d.!GB:
g
d
In c L d E
e
s
g
ci
g
3
g
9 z a
g < ;.S
-
'Q P,
"
t > E
6
%
+
S
2
8
p
m 6 5b
J
.z
% e
e
.Sa
.: ' 55
E
=
=
p
5
3
e,:
B p i
.E
Y
5
.5
2!!
;
$j u 0 0 8 C . -$
5
P % e ,
8
g
g
g
3
-g
zat_x
% Q
z
B
g
.S
=:
-
0
-2
2 C ' p . 2 M mc
U
-d w w S w W J w