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1 Introduction
1£®1 First-order l-Compartment Model(Extravascular Administration)
1£®2 First-order 2-Compartment Model (Intravenous Dose)
1£®3 Pontryagin' s Principle
1£®3£®1 Hamiltonian
1£®3£®2 Pontryagin's Maximum (or Minimum) Principle
1£®4 White Noise
1£®5 Stochastic Differential Equations(SDEs)
1£®5£®1 The Concept of SDEs
1£®5£®2 Stability of the SDEs
1£®6 Magnus Expansion
1£®6£®1 Bernoulli Number
1£®6£®2 Magnus Approach and Its Interpretation
1£®7 Gronwall Lemma

2 Using Optimal Control Theory to Study the First Order Compartment Models
2£®1 Using Optimal Control Theory to Study the First-order
1-Compartment Model
2£®2 Using Optimal Control Theory to Study the First-order
2-Compartment Model
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3 The First-order Compartment Stochastic Models
4 Qualitative Analysis of the Stochastic Models
5 Quantitative Analysis of the Models
Appendix
References