Download - Functional Mapping
Functional Mapping1. Model2. Material – rice doubled haploid (DH) population
Tall (AA) x short (aa)
Aa A a
AA aa 124 DH lines were planted in a randomized block
design in Hangzhou and Hainan
g(t) is the plant height;a is the asymptotic value;b is the parameter that describes the initial growth of plant height;r is the relative growth rate;k is the power at which the metabolic rate of an organ scales as the kth power of its weight.
Functional Mapping
lili gt ,
lkll
l
l
l
kak
b
r1
1
,1
ln1
=
Three developmental landmarks
First, Pi, the inflection point of growth curve
Hypothesis testsH0: How to estimate the parameters?
H0:
1
ln1
1ln
1
2
2
21
1
1 k
b
rk
b
r
21 1
1
221
1
11kk kaka
Second, P1, the first inflection point of growth rate curve
ll gt 11 ,
llkl
kll
l
li a
k
rt
l
l
111
11 ,
1
)1(ln
1
=
Third, P2, the second inflection point of growth rate curve
ll gt 22 ,
llkl
kll
l
li a
k
rt
l
l
212
12 ,
1
)1(ln
1
=
1
1
2,1 )12(2
)4()1()1(
lk
ll
llllll kk
kkkkk
Developmental Processes
(1) Exponential growth (0 to P1)(2) Linear growth (P1 to P2)(3) Ageing (P2 to the infinite)
Homework 3You have analyzed the rice data and obtained significant QTLs.
You draw genotypic curves using growth parameters
Next, you need to test the genetic effects of the QTL on
- Pi, the inflection point of growth curve- P1, the first inflection point of growth rate curve - P2, the second inflection point of growth rate curve- Exponential growth (0 to P1)- Linear growth (P1 to P2)- Ageing (P2 to the infinite)