Key result
Optimization of warfarin administration was achieved theoretically using a mathematical model, yielding an optimal strategy of 15.6 mg on day 1 and 11.6 mg on day 2, which closely agrees with empirical methods.
Why the study?
Does a mathematical model-based optimal administration strategy for warfarin minimize the time to reach desired prothrombin levels compared to empirical methods?
Does a mathematical model-based optimal administration strategy for warfarin minimize the time to reach desired prothrombin levels compared to empirical methods?
A mathematical model using discrete-time system theory successfully calculated an optimal warfarin dosing regimen that closely aligns with empirical clinical practices for rapidly achieving therapeutic prothrombin levels.
Optimization of warfarin administration was achieved theoretically using a mathe matical model for dose- patient dynamics. The criterion for optimization is to mini mize the time necessary to obtain the desired prothrombin levels . The patient model consists of linear and non-linear parts connected sequentially . The linear part is simply the 2- compartment model. The non-linear part is an exponential function of the linear part's output, which represents the time- independent relation between the serum dose density and the prothrombin time. The parameters in these models were identified for the mean values of the clinical data. By the discrete-time system theory, i. e. the finite time settling method, the optimal administration strategy was achieved for this patient model. The result agrees fairly closely with the empirical optimization.
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Ohta et al. (1984) studied Anticoagulant therapy (n=10). Mathematical model for optimal warfarin administration vs. Empirical optimization was evaluated on Time necessary to obtain desired prothrombin levels. Optimization of warfarin administration was achieved theoretically using a mathematical model, yielding an optimal strategy of 15.6 mg on day 1 and 11.6 mg on day 2, which closely agrees with empirical methods.
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