Repeated applications of a transdermal patch: Analytical solution and optimal control of the delivery rate

2007 ◽  
Vol 209 (2) ◽  
pp. 593-607 ◽  
Author(s):  
L. Simon
2017 ◽  
Vol 2017 ◽  
pp. 1-8
Author(s):  
Chao Liu ◽  
Shengjing Tang ◽  
Jie Guo

The intrinsic infinite horizon optimal control problem of mechanical systems on Lie group is investigated. The geometric optimal control problem is built on the intrinsic coordinate-free model, which is provided with Levi-Civita connection. In order to obtain an analytical solution of the optimal problem in the geometric viewpoint, a simplified nominal system on Lie group with an extra feedback loop is presented. With geodesic distance and Riemann metric on Lie group integrated into the cost function, a dynamic programming approach is employed and an analytical solution of the optimal problem on Lie group is obtained via the Hamilton-Jacobi-Bellman equation. For a special case on SO(3), the intrinsic optimal control method is used for a quadrotor rotation control problem and simulation results are provided to show the control performance.


2013 ◽  
Vol 52 (4) ◽  
pp. 1036-1049 ◽  
Author(s):  
L. Bayón ◽  
J. M. Grau ◽  
M. M. Ruiz ◽  
P. M. Suárez

2019 ◽  
Vol 9 (2) ◽  
pp. 302-318 ◽  
Author(s):  
Kengo Ueda ◽  
Sadao Katayama ◽  
Tetsuaki Arai ◽  
Nobuo Furuta ◽  
Shinichiro Ikebe ◽  
...  

Background: Few studies have investigated treatment options for patients with Alzheimer’s disease (AD) showing a poor response to oral cholinesterase inhibitors (ChEIs) in Japan. Objective: To investigate the efficacy and safety of switching from oral ChEIs to rivastigmine transdermal patch in patients with AD. Methods: In this multicenter, open-label, phase IV study in outpatient clinics in Japan, patients with mild-moderate AD who had a poor response to or experienced difficulty in continuing donepezil or galantamine were switched to rivastigmine transdermal patch (5 cm2; loaded dose 9 mg, delivery rate 4.6 mg/24 h) with a 1-step titration in week 4 (10 cm2; loaded dose 18 mg, delivery rate 9.5 mg/24 h), which was continued for 4 weeks in the titration period and 16 weeks in a maintenance period. The primary endpoint was the change in Mini-Mental State Examination (MMSE) total score from baseline to week 24. Results: A total of 118 patients were enrolled and switched to rivastigmine, of which 102 completed the 24-week study. The MMSE total score was essentially unchanged during the study, with a least-square mean change (SD) of −0.35 (2.64) at week 24 (p = 0.1750). Exploratory analysis with a mixed-effect model comparing changes in MMSE between the pre- and post-switch periods suggested that switching to rivastigmine prevented a worsening of MMSE. Application site skin reactions/irritations occurred in 30.5% of patients overall, in 22.0% in the 8-week titration period, and in 10.2% in the 16-week maintenance period. Conclusion: Within-class switching from an oral ChEI to rivastigmine transdermal patch might be an efficacious and tolerable option for AD patients showing a poor or limited response to a prior oral ChEI.


Author(s):  
Paulo Nocera Alves Jr. ◽  
Elmer Pablo Tito Cari

This chapter addresses some issues related to some Optimal Control Theory (OCT) problems (for example, impossible analytical solution because of an unsolvable integral, or punctual parameters that were unrealistic). It is proposed the use of OCT as a benchmarking tool to analyze inventory control systems to enhance parameters. In addition, the application of methods and heuristics in solving these problems is also described. These methods are discussed and applied in calculating the production and inventory functions using data of accounting variables of USA and Brazil companies, available in the Economatica software data base. Eventually, the results are compared and some recommendations about the advantages and disadvantages of each method are accomplished.


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