DETERMINATION OF EFFECTIVE DIFFUSION COEFFICIENTS OF DRUG DELIVERY DEVICES BY A STATE OBSERVER APPROACH

作者：Mahali Shalela Mohd^*; Wang Song; Lou Xia

来源：Discrete and Continuous Dynamical Systems-Series B, 2011, 16(4): 1119-1136.

DOI：10.3934/dcdsb.2011.16.1119

• State observer
• estimator
• diffusion coefficient
• optimization
• drug delivery

In this paper we present a state observer for the estimation of effective diffusion coefficients of a drug delivery device. In this approach, we construct estimators for the unknown effective diffusion coefficients characterizing the difffusion process of a drug release device using a combination of state observers from the area of adaptive control and the drug diffusion models developed recently by us. We show that the constructed systems are asymptotically stable and the estimators converge to the exact diffusion coefficients. An algorithm is proposed to recursively compute the estimators using a given time series of a release profile of a device. To demonstrate the efficiency and usefulness of this approach, numerical experiments have been performed using experimentally observed drug release profiles of polymeric spherical devices. The numerical results show that the present approach is about 9 times faster than the conventional least squares method when applied to the test problems.

• 出版日期2011-11