Placental transport of AZT to determine the pharmacokinetic parameters, to assess placental toxicity and to assess distribution of AZT in exposed placental tissues. Using the data given below:
1.) Model maternal and fetal compartments separately as a first order drug absorption and elimination problem.
Model equation :
C(t, I0 ,Ka,Kte) = I0 * (Ka/(Ka-Kte))*(e-Kte(t) - e-Ka(t))
2.) Use Matlab to solve for I0 ,Ka,Kte using nonlinear regression:
a.) first using Matlab "fminsearch"
b.) then using Newton's multivariate method.
Regression equation:
SSE(I0 ,Ka,Kte) = Σ( Ci - c(t, I0 ,Ka,Kte))2
Sum of the squares of the error between model and data that is to be minimized
3.) Plot data along with best-fit model
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Maternal Data
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Fetal Data
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0
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0
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0
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0
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1.4
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1
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0.1
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1
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4.1
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3
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0.4
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5
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4.5
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5
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0.8
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10
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3.5
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10
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1.1
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20
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3
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20
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1.2
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40
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2.75
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40
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1.4
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50
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2.65
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50
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1.35
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60
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2.4
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60
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1.6
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90
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2.2
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90
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1.7
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120
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2.15
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120
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1.9
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150
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2.1
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150
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2
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180
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2.15
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180
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1.95
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210
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1.8
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210
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2.2
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240
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2
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240
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