This power point presentation is designed to explain deviation of Mendelian dihybrid ratio due to interaction of genes which may be of following types
1.Two gene pairs affecting same character – 9:3:3:1
2.Epistasis, one gene hides effect of other
a) Recessive Epistasis - 9:3:4
b) Dominant epistasis - 12:3:1
3.Complementary genes - 9:7 ( 2 genes responsible for production of a particular phenotype )
4. Duplicate genes – 15:1 ( same effect given by either of two genes )
5. Polymeric gene action - 9:6:1
6. Inhibitory gene action - 13 : 3
Each interaction is typical in itself and ratios obtained are different
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1. INTERACTION OF GENES
MODIFICATION OF DIHYBRID RATIO
EXTENSION O MENDELIAN GENETICS
By
Dr Ichha Purak
University Professor
Department of Botany
Ranchi Women’s College
Ranchi University,Ranchi
2. Mendel performed monohybrid and dihybrid crosses taking sweet pea as
experimental plant
In monohybrid cross only one trait and its two alternative forms were taken under
consideration at a time . Two phenotypes ( Red and White flower colour) were
obtained . There were only three possible genotype ( RR,Rr & rr) with Phenotypic
Ratio 3:1 and Genotypic Ratio 1:2:1. RR(Homozygous ) and Rr ( Heterozygous )
are phenotypically alike and both are governed by dominant allele (R). In
Dihybrid cross two traits at a time were considered
( Height of plant and colour of flower ) . Four phenotypes i.e. tall red(TR), Tall
white(Tr), dwarf red(tR) and dwarf white (tr) were obtained by dihybrid cross.
Phenotypic Ratio 9:3:3:1 was obtained
Genotypic Ratio 1:2:2:4:1:2:1:2:1 was obtained
Combinations 1,6,11 & 16 are only homozygous
4. By seeing Mendel’s di hybrid Ratio, it becomes clear that different
characters are inherited independently . Because of that four
combinations are produced in F2 generation
Mendel concluded on the basis of results of monohybrid and di
hybrid crosses performed on sweet pea that
a) One trait (character) is controlled by a gene (factor) existing in
two alternative forms (alleles) . The alleles are responsible for two
alternative allelomorphs.
b) That different traits assorted independently ( segregation of two
genes is independent of each other)
5. After Mendel’s rediscovery by Hugo Devries, Carl Correns and
EV Tschermak, many geneticists repeated the same pattern of work using
other organisms and different phenotypes but the results were not always
according to Mendel’s laws of inheritance, fit with the principles as law of
dominance and law of independent assortment.
It became apparent that it is not necessary that a single character (trait ) is
controlled by one gene only and it is also not true that a gene has only two
alleles, may have many alleles and the phenotype may be result of interaction of
two genes and their alleles or a character may be controlled by more than one
gene and its alleles.
In such a condition 2 or more genes may interact, the resulting phenotype may
be result of interaction.
6. Suppose Gene A is responsible for phenotype A (Red) and Gene B is
responsible for phenotype B (white ) ,when both A and B are present
together may give rise to a new phenotype C (Pink) , but these genes still
obey Independent Assortment pattern.
If A and b are two genes, both dominant over their respective recessive
alleles a & b ,then interaction will depend on presence of both dominant
alleles A & B, Absence of A or B or absence of Both A & B.
Mendel was fortunate to get 3:1 and 9:3:3:1 ratio uniformly because
a) The traits he considered were governed by only one pair of alleles of a
gene.
b) The genes and their alleles for different characters were located on
different homologous pairs of chromosomes or even if on the same
homologous pair the genes for different trait were present at a distance
sufficient for cross over
8. Genes usually function or express themselves singly or individually. But, many
cases are known where two genes of the same allelic pair or genes of two or
more different allelic pairs influence one another. This is called gene interaction
Non-allelic gene Interactions These are interactions between genes
located on the same chromosome or on different but non-homologous
chromosomes controlling a single phenotype to produce a different
expression. Each interaction is typical in itself and ratios obtained are
different from those of the Mendelian dihybrid ratios. Some of these
interactions of genes are explained here which fall under this category
and deviate from Mendel's ratios.
9. The interaction of genes may be of following types
1) Two gene pairs affecting same character – 9:3:3:1
2) Epistasis, one gene hides effect of other
a) Recessive Epistasis - 9:3:4
b) Dominant epistasis - 12:3:1
3) Complementary genes - 9:7 ( 2 genes responsible for production of
a particular phenotype )
4) Duplicate genes – 15:1 ( same effect given by either of two genes )
5) Polymeric gene action - 9:6:1
6) Inhibitory gene action - 13 : 3
11. Two gene pairs affecting the same character :
comb shape in chicken
( 9:3:3:1-for single character)
Gene R- rose comb -Rp
Gene P –Pea Comb-rP
The dominant alleles of each of the two genes produce separate forms of
phenotype when they are alone ( heterozygous)
Both R and P when brought together form a new phenotype walnut
Allele R dominant over r
Allele P dominant over p
rr and pp produce single comb
ADDITIVE GENE EFFECT
12. F
M
RP Rp rP rp
RP RP
RP 1
Rp
RP 2
rP
RP 3
rp
RP 4
Rp RP
Rp 5
Rp
Rp 6
rP
Rp 7
rp
Rp 8
rP RP
rP 9
Rp
rP 10
rP
rP 11
rp
rP 12
rp RP
rp 13
Rp
rp 14
rP
rp 15
rp
rp 16
F1 gametes
RP-Walnut 1,2,3,4.5,7,9,10,13= 9
Rp –Rose 6,8,14=3
rP- pea 11,12,15=3
rp- Single 16=1
so the ratio is 9:3:3:1 just like normal dihybid ratio for two traits but it is for
single trait i.e. comb shape having 4 different forms
Parents RRpp x rrPP
(Rose) (Pea)
P. gametes Rp rP
F1 RrPp walnut
GENETIC EXPRESSION
F2
Generation
9:3:3:1
13. A Cross Involving a Two-Gene Interaction : 9:3:3:1 ratio
for single trait
RRpp rrPP RrPp rrpp
Inheritance of comb morphology in chicken described by
William Bateson and Reginald Punnett in 1906 : First example
of gene interaction
Four different comb morphologies
14. F2 Generation
F2 generation consisted of chickens with four types of combs
9 walnut : 3 rose : 3 pea : 1 single
Bateson and Punnett reasoned that comb morphology is determined by
two different genes
15. (Additive Gene Action)
There are 4 phenotypes in F2,so are governed by more than one gene
If it was governed by one gene and its two alleles F2 would have shown only
3 phenotypes in 1:2:1 ratio
Where both A and B are
present add colour so new
phenotype brown is produced
F2
phenotype classes
• Dominance Relationships:
– Tan is dominant to green
– Gray is dominant to green
– Brown is dominant to gray, green and tan.
– Tan and Gray are incompletely dominant,
giving rise to brown.
• Genotypic classes:
– Brown: A_B_
– Tan: A_bb
– Gray: aaB_
– Green: aabb
2nd
Example
Lentil Seed colour
9:3:3:1
16. EPISTASIS
One gene hides the effect of other gene. It is different from Mendel’s
Dominance which is meant for intragenic alleles (alleles of a gene) but here
dominance works at intergenic level (alleles of different genes ). One gene
masks the expression of another non-allelic gene.
A gene which masks (hides) the action of another gene (non allelic) is termed
as epistatic gene. The gene whose effects are masked is called hypostatic
gene
For example if two gene A and C with their alleles a and c take part in a cross
then epistasis can be of following types
1) Recessive Epistasis -Recessive allele ( c ) of one gene may hide the
effect of dominant allele (A ) of other gene
2) Dominant Epistasis Dominant allele ( A ) of one gene may hide the
effect of dominant allele ( C ) of other gene.
17. a) Recessive epistasis:
Here the recessive allele masks the effect of dominant allele of other gene.
In mice the wild body colour is known as agouti(greyish) and is controlled by a
gene A which is hypostatic to recessive allele c.
The dominant allele C in the presence of 'a' gives coloured mice.
In the presence of dominant allele C, A gives rise to agouti.
So, CCaa will be coloured and ccAA will be albino.
When coloured mice (CCaa) are crossed with albino (ccAA), agouti mice (CcAa)
appear in F1.
cc masks the effect of AA and is therefore epistatic. Consequently,
cc AA is albino.
The ratio 9 : 3 : 3 : 1 is modified to 9 : 3 : 4.
The combination ccaa is also albino due to the absence of both the dominant
alleles.
18. Recessive Epistasis
Example : Coat colour of Mouse
Coat colour is controlled by Gene A ,
Allele A is hypostatic to recessive allele (c )
The dominant allele C in absence of A gives
coloured mice
When both C and A are present colour is
Agouti ( wild type most common ) due to
banded hair : Near skin Grey yellow Black
Two other colours are Albino and solid black
AACC (agouti) x aacc (albino)
AaCc (all agouti)
AaCc x AaCc
A-C- Agouti 9/16
A-cc Albino 3/16
aaC Black 3/16
aacc Albino 1/16
The c locus is epistatic to the A
locus.
9 (Agouti ) :3 ( Black ) :4 ( Albino)
F2 ratio
Genotype
Phenotype
19. Parents CCaa X ccAA
Black Albino
p. gametes Ca cA
F1 CcAa ------------------------------------Agouti
F1 Gametes→
↓ CA Ca cA ca
CA
CA
CA 1
Agouti
Ca
CA 2
Agouti
cA
CA 3
Agouti
ca
CA 4
agouti
Ca
CA
Ca 5
Agouti
Ca
Ca 6
Coloured
cA
Ca 7
Agouti
ca
Ca 8
coloured
cA
CA
cA 9
Agouti
Ca
cA 10
Agouti
cA
cA 11
Albino
ca
cA 12
albino
ca
CA
Ca 13
Agouti
Ca
Ca 14
Coloured
cA
Ca 15
albino
Ca
Ca 16
Albino
CA –Agouti- 1,2,3,4,5,7,9,10,13=9 Ca- Black- 6,8,14=3
cA- Albino- 11,12,15=3 (c masks the effect of A ) ca- albino -16=1
So the ratio is 9:3:4 ( Agouti:Black:Albino )
F2 Generation
Genetic Expression
Cross between Black and Albino : Genetic Expression
22. (b) Dominant epistasis:
In summer squash or Cucurbita pepo, there are three types of fruit colour -
yellow, green and white. White colour is dominant over other colours, while
yellow is dominant over green. Gene for white colour (W) masks the effects of
yellow colour gene (Y). So yellow colour is formed only when the dominant
epistatic gene is represented by its recessive allele (w). When the hypostatic
gene is also recessive (y), the colour of the fruit is green.
White Fruit - WY , Wy
Yellow Fruit - wY
Green Fruit – wwyy
A cross between a pure breeding white summer squash, (WWYY) with a pure
breeding green summer squash, (wwyy) yields white fruits in the F1
generation. Upon selfing of F1 the F2 generation comes to have
12 white fruit : 3 yellow fruit : 1 green fruit.
23. Parents WWYY X wwyy
White Green
P gametes WY wy
F1 Generation Hybrid WwYy --------------------------------------------White
F1 Gametes
Female
Male
WY Wy wY wy
WY
WY
WY 1
white
Wy
WY2
white
wY
WY 3
white
wy
WY 4
white
Wy
WY
Wy 5
white
Wy
Wy 6
white
wY
Wy 7
white
wy
Wy 8
white
wY
WY
wY9
white
Wy
wY 10
white
wY
wY 11
Yellow
wy
wY 12
Yellow
wy
WY
Wy 13
white
Wy
Wy 14
white
wY
wy 15
Yellow
wy
wy 16
green
WY-White- 1,2,3,4,5,7,9,10,13=9
Wy-White- 6,8,14=3
wY-yellow- 11,12,15=3
wy-Green-16=1
F2 generation
12 white : 3Yellow :1 green
Genetic Expression
24. F1- AaBb X AaBb
9 A B –white 3Aa-bb –Yellow 3 aa-B- White 1 aabb –Green
A causes Yellow but in presence of B can not express ,produce white
FRUIT COLOUR SQUASH : 12 : 3 : 1
13:3
12:3:1
25. Two genes are responsible for a particular phenotype. Production of one
phenotype requires dominant alleles of both the genes controlling the
character.
The complementary genes are two genes present on separate gene loci that
interact together to produce dominant phenotypic character, neither of them if
present alone, can expresses itself. It means that these genes are
complementary to each other
Example is flower colour of Lathyrus odoratus( Keshari/pea grass) .The colour
of flower is either purple or white. Purple colour is produced only when
dominant A is complemented by Dominant Allele B
COMPLEMENTARY GENES
26. Bateson and Punnet have demonstrated that in sweet pea (Lathyrus odoratus)
purple colour of flowers develop as a result of interaction of two dominant genes C
and P. In the absence of dominant gene C or P or both, the flowers are white. It is
believed that gene C produces an enzyme that catalyzes the formation of
necessary raw material for the synthesis of pigment anthocyanin and gene P
produces an enzyme which transforms the raw material into the pigment. It means
the pigment anthocyanin is the product of two biochemical reactions, the end
product of one reaction forms the substrate for the other.
Product of Gene C Product of Gene P
Substrate A Substrate B Anthocyani (Purple)
Therefore, if a plant has ccPP, ccPp, CCpp or Ccpp genotypes, it bears only white
flowers. Purple flowers are formed in plants having genotype CCPP or CCPp or
CcPP or CcPp. From checker board, it is clear that 9 : 7 ratio between purple and
white is a modification of 9 : 3 : 3 : 1 ratio.
27. Genetic Expression
Parents : AAbb X aaBB
White White
P.gametes Ab aB
F1 AaBb --------------------------------- Purple
F1 Gametes Female→
AB Ab aB ab
AB
AB
AB 1
AB
Ab 2
AB
aB 3
AB
ab 4
Ab
Ab
AB 5
Ab
Ab 6
Ab
aB 7
Ab
Ab 8
aB
aB
AB 9
aB
Ab 10
aB
aB 11
aB
ab 12
ab
ab
AB 13
ab
Ab 14
ab
aB 15
ab
ab 16
So the ratio becomes 9:7
( Purple : White )
AB- Purple-1,2,3,4.5.7.9,10,13= 9
Where both (A ) and ( B ) are
present flowers are coloured
( when A is complemented by B
then only flower is coloured )
Where either (A ) or ( B ) is present
colour is white
Ab- White- 6,8,14 = 3
aB- White – 11,12,15 = 3
ab- White -16 = 1
Total white- 3+3+1=7
F2 Generation
Male
COMPLEMENTAY GENES
KESHARI
28. A Cross Producing a 9:7 ratio
9 C_P_ : 3 C_pp :3 ccP_ : 1 ccpp
purple white
29. Complementary gene action - interactions arise because the two
genes encode proteins that participate in sequence in a biochemical
pathway
Enzyme C and enzyme P cooperate to make a product, therefore they
complement one another
Enzyme C
Purple
pigment
Colourless
intermediate
Colourless
precursor
30. F2 phenotypic ratio - 9 (Purple) : 7 (White)
Results of an experiment showing inheritance of flower colour in Lathyrus odoratus
controlled by complementary genes
32. Duplicate genes
If the dominant alleles of two gene loci produce the same phenotype, whether
inherit together or separately, the 9 : 3 : 3 : 1 ratio is modified into a 15 : 1 ratio.
The capsules of shepherd's purse (Capsella) occur in two different shapes, i.e.,
triangular and top-shaped. When a plant with triangular capsule is crossed with
one having top-shaped capsule, in F1 only triangular character appears. The
F1 offspring by self crossing produced the F2 generation with the triangular and
top-shaped capsules in the ratio of 15 : 1.
Two independently segregating dominant genes (A and B) have been found to
influence the shape of capsule in the same way. All genotypes having dominant
alleles of both or either of these genes (A and B) would produce plants with
triangular-shaped capsules.
Only those with the genotype aabb would produce plants with top - shaped
capsules.
33. Same effect is given by either of two genes (A ) or (B)
Example is Capsella bursa -pastoris (Shepherd’s Purse ) Fruit shape of two types
a) Triangular (Heart shape ) capsule
b) Top shaped (Narrow ) capsule
Genetic Expression
Parents AABB X aabb
Triangular Top shaped
P gametes AB ab
F1 (Hybrid ) AaBb ------------- triangular
F1 gametes
AB Ab aB ab
AB
AB
AB 1
AB
Ab 2
AB
aB 3
AB
ab 4
Ab
Ab
AB 5
Ab
Ab 6
Ab
aB 7
Ab
Ab 8
aB
aB
AB 9
aB
Ab 10
aB
aB 11
aB
ab 12
ab
ab
AB 13
ab
Ab 14
ab
aB 15
ab
ab 16
AB- 1,2,3,4,5, 7,9,10,13=9
(Triangular)
Ab-6,8,14=3(Triangular )
aB-11,12,15 =3 (Tringular )
ab-16 =1 (top shaped ) So the
ratio is 15:1
This is example of gene
interaction,two genes involved in
same pathway.It is based on the
idea that some genes may be
present more than once in the
genome
DUPLICATE GENES
F2 generation
15 (Triangular): 1 (Top)
34. A_ or B_ = heart shape
aa and bb = narrow shape
Fruit shape in Shepherd’s purse
Duplicate Dominant Epistasis
35. In a cross between two lines differing in fruit shape (Heart shape vs narrow )
F1 generation shows all heart shaped like intragenic dominance but F2
generation shows a ratio of 15:1 and not 3:1 as that of monohybrid cross. It
means that trait fruit shape is controlled by two genes (A and B ) and their
Alleles a and b. 15 :1 ratio is therefore modification of dihybrid ratio 9:3:3:1 in
which 9,3 and 3 are grouped.The triangular shape results by the presence of
at least one dominant allele of either gene. The two gene appear to be
identical in function and is in contrast with complemenatary genes or 9:7 ratio
where both dominant alleles are required for a phenotype and they
complement each other.
Duplicate genes provide alternative genetic determination of a specific
phenotype
36. Duplicate Gene
Action Epistasis
TV
TV
Tv
Tv
tV
tV
tv
tv
TTVV TTVv TtVV TtVv
TTVv TTvv TtVv Ttvv
TtVV TtVv ttVV ttVv
TtVv Ttvv ttVv ttvv
TTVV
Triangular
ttvv
Ovate
TtVv
All triangular
F1 (TtVv) x F1 (TtVv)
x
F1 generation
15:1 ratio results
Shepherd’s Purse (Capsella )
Fruit Shape Triangular / Top
(Ovate) shape
38. P AABB aabb
AB ab
AaBb
F1 AaBb X AaBb
F2 15/16 Red : 1/16 white
Whenever a dominant gene is present, the trait is expressed.
One allele is sufficient to produce the pigment.
2nd Example : Petal colour in snapdragon
Redundancy : Duplicate Genes
39. Polymeric gene action 9:6:1
Two completely dominant genes controlling a character produce same
phenotype, when their dominant alleles are alone, But when dominant alleles
are together , the phenotypic effect is enhanced and become cumulative or
additive effect
Example -1 Awn length on Barley fruit
AABB x aabb
A /B- Median Awn A & B – long Awn ab- Awnless
Example- 2 Fruit shape Squash (Disc/Circular/Long) 9:6:1
AaBb X AaBb
9 A B – Disc 3 A-bb – Circular
3 aa-B- Circular 1 aabb – Long
40. Genetic Expression
Parents AABB( Long awn ) X aabb(Awnless)
P gametes AB ab
F1 AaBb Long awn
F1 gametes
AB Ab aB ab
AB
AB
AB 1
AB
Ab 2
AB
aB 3
AB
ab 4
Ab
Ab
AB 5
Ab
Ab 6
Ab
aB 7
Ab
Ab 8
aB
aB
AB 9
aB
Ab 10
aB
aB 11
aB
ab 12
ab
ab
AB 13
ab
Ab 14
ab
aB 15
ab
ab 16
AB – Long Awn -1,2,3,4,5,7,9,10,13=9
Ab- Medium Awn -6,8,14=3
aB- medium Awn-11,12,15=3
ab-Awnless-16=1
F2 Generation : Phenotypic ratio
9(Long) : 6(Medium) :1(awnless)
Example awn length on Barley fruit AB- Median Awn
A & B – long Awn ab- Awnless
41. INHIBITORY GENE ACTION
Inhibitory gene action Example Maize Aleurone colour 13:3
One dominant gene produces concerned phenotype and its recessive allele
produces contrasting phenotype. The second gene (dominant) has no effect
on concerned phenotype but stops expression of dominant allele of first
gene, so when both dominant alleles are present ,phenotype as that of
recessive homozygote is produced
. Genetic Expression
Parents RRII( White aleurone ) X rrii (White aleurone )
P gametes RI ri
F1 hybrid ----------------RrIi ------------------------White
F1 gametes
42. Genetic Expression
Parents RRII( White aleurone ) X rrii (White aleurone )
P gametes RI ri
F1 hybrid ----------------RrIi ------------------------White
F1 gametes
RI Ri rI ri
RI
RI RI Ri RI rI RI ri RI
Ri
RI Ri Ri Ri
Red
rI Ri ri Ri
Red
rI
RI rI Ri rI rI rI rirI
ri
RI ri Ri ri
Red
rI ri ri ri
RI-White-1,2,3,4,5,7.9.10,13=9
Ri- Red- 6,8,14=3
rI- white -11,12,15=3
ri-white-16=1
So phenotypic Ratio
becomes
13 (White ) : 3 (Red)
Inhibitory gene action Example Maize Aleurone colour 13:3
43. Second Example 13 :3
Inhibitory gene ( one gene inhibits expression of the other ) 13: 3
Example –Feather colour in Fowl ( White/Coloured )
Epistasis
AaBb X AaBb
9 A B –white
3 A-bb –white
3 aa-B- coloured
1 aabb –white
B is responsible for colour but in presence of A cannot express
44. Masking gene action (12:3:1)
Dominant alleles of two genes affecting a character produce distinct phenotypes
when they are alone,but when dominant alleles of both genes are present together
, expression of dominant allele of one gene masks the expression of other and
when both genes are present in recessive state , a different phenotype is
produced
Example Barley seed colour –Black/Yellow/White
Parents BByy (Black) X bbYY (Yellow )
P gametes By bY
F1 (Hybrid ) BbYy Black
F1 gametes
45. BY By bY by
BY
BY BY By BY bY BY by BY
By
By BY By By bY By by By
bY
bY BY bY By bY bY by bY
by
by BY by By by bY by by
Parents BByy (Black) X bbYY (Yellow )
P gametes By bY
F1 (Hybrid ) BbYy Black
F1 gametes
BY – Black - 1,2,3,4,5,7,9,10,13=9
By –Black- 6,8,14=3
bY- Yellow-11,12,15=3
by-white-16=1
F2 Generation ---- 12 (Black) : 3 (Yellow ) : 1 (White )
When both B and Y are present both express but Black colour is so intensive
that yellow colour produced by Y is not detected
B gives Black colour,Y gives Yellow colour and b and y donot produce colour