In vitro quantitation of Theileria parva sporozoites for use - TropMed ...
In vitro quantitation of Theileria parva sporozoites for use - TropMed ...
In vitro quantitation of Theileria parva sporozoites for use - TropMed ...
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50 Chapter 3: <strong>Theileria</strong> <strong>parva</strong> extraction methods<br />
______________________________________________________________________________________________<br />
Table 2: Titration sessions <strong>for</strong> comparison <strong>of</strong> extraction methods. M-manual, H-homogeniser<br />
Stabilate<br />
Session M1 M2 H1 H2<br />
1 48 48<br />
2 71 72<br />
3 72 72<br />
4 93 91<br />
5 88 95<br />
6 48 48<br />
TOTALS 212 208 215 211<br />
3.2.4. Statistical analysis<br />
For the comparison <strong>of</strong> extraction methods, the binary results were analysed using a random effect<br />
logistic regression in Stata ® (Stata/SE 8.0 <strong>for</strong> Windows Statistical S<strong>of</strong>tware. Stata Corporation,<br />
Texas). The proportion <strong>of</strong> positive wells was the response variable and the logarithm <strong>of</strong> the stabilate<br />
concentration and the method <strong>of</strong> extraction were <strong>use</strong>d as explanatory variables.<br />
The test session was taken as a random effect given the importance <strong>of</strong> the clustering effect within<br />
test sessions (Marcotty et al., 2004). The model can be written as follows:<br />
⎛ π ⎞<br />
log ⎜ ⎟ = α + β<br />
ln( t . e.)<br />
× ln( t.<br />
e.)<br />
+ β<br />
⎝1−<br />
π ⎠<br />
method<br />
× method<br />
+ ν + ε<br />
where π is the proportion <strong>of</strong> positive wells, α a constant, ln(t.e.) the natural logarithm <strong>of</strong> the<br />
sporozoite dose in tick-equivalents, β ln(t.e.) the coefficient <strong>of</strong> the stabilate dose, method the method<br />
<strong>use</strong>d (0 <strong>for</strong> homogenizer and 1 <strong>for</strong> hand-extraction), β method the coefficient <strong>of</strong> the method, n the<br />
cross-sectional random effect <strong>of</strong> the session and e the residual error.<br />
The coefficients <strong>of</strong> the model were <strong>use</strong>d to estimate ED 50 , the dose that is effective in 50% <strong>of</strong> the<br />
cases, <strong>for</strong> the two methods:<br />
ln<br />
( ED )<br />
50<br />
α + β<br />
method<br />
× method<br />
= −<br />
β<br />
ln( t.<br />
e.)<br />
A comparison <strong>of</strong> the sporozoite yield by the multiplicative model <strong>of</strong> the ratio ED hand /ED machine was<br />
then made by non-linear combinations <strong>of</strong> estimators:<br />
ln<br />
β<br />
⎛<br />
− = −<br />
method<br />
ED ⇒<br />
hand = ⎜<br />
β −<br />
method<br />
machine<br />
exp<br />
β<br />
ln( t.<br />
e.)<br />
EDmachine<br />
⎝ β<br />
ln( t.<br />
e.)<br />
( ED ) ln( ED )<br />
hand<br />
⎞<br />
⎟<br />
⎠