A Computer Algorithm for Optimizing to Extract Effective Diffusion Coefficients of Drug Delivery from Cylinders

Li, Youyun; Xiang, Ziquan; Xiang, Xuyu; Wang, Song

doi:10.3923/itj.2010.1647.1652

Cited by 5 publications

(5 citation statements)

References 5 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The second step in the validation process was to verify the ability of the models to predict real experimental drug release profiles into finite volume. This goal was achieved by a comparison of theoretical predictions with experimental data reported in the literature . Figure shows experimental data reported by Li et al and the model predictions obtained from Equation for the FDR into a finite medium.…”

Section: Resultsmentioning

confidence: 95%

“…Figure shows experimental data reported by Li et al and the model predictions obtained from Equation for the FDR into a finite medium. The values of model parameters were taken from the work of Li et al , see . The A ∕ C S ratio was equal to 3, so the PSSA can be applied.…”

Section: Resultsmentioning

confidence: 99%

“…Comparison of the fraction of drug released calculated according to Equation (—) and the experimental data (⋅) reported by Li (see Ref. ). The parameters used are R = 0.48 cm; h = 1.019 cm; V ∕ V m = 35; D p = 2.5276 × 10 − 6 cm 2 /s.…”

Section: Resultsmentioning

confidence: 99%

See 2 more Smart Citations

Mathematical modeling of drug delivery from cylindrical implantable devices

Ibarra

Helbling

Luna

2014

Math Methods in App Sciences

View full text Add to dashboard Cite

A mechanistic mathematical model applicable to the controlled dispersed‐drug release from cylindrical device such as implantable drug delivery system was derived. Analytical solutions based on the pseudosteady state approximation are derived taken account an exact external medium volume. The model prediction is accurate when the initial drug load is higher than the drug solubility in the polymer. The results obtained are compared with the analytical solutions available in the literature. The equations are corroborated by comparison with experimental profiles reported in the literature for sink conditions and non sink conditions. The evolution of concentration distribution profiles is compared for different volume of external medium. A reduction in the volume of the external solution leads to an increase in the concentration on the surface of the device, which determines decreases in the release of drug. One criterion for determining whether the volume of external solution should be considered for the prediction of drug release from cylindrical devices is established. This criterion is based on establishing a maximum percentage error allowed in the values of amount of drug released. The usefulness of the model is focused in the design of implant for controlled release of drug into a small volume of external medium of release. Copyright © 2014 John Wiley & Sons, Ltd.

show abstract

Section: Resultsmentioning

confidence: 95%

Section: Resultsmentioning

confidence: 99%

See 1 more Smart Citation

Mathematical modeling of drug delivery from cylindrical implantable devices

Ibarra

Helbling

Luna

2014

Math Methods in App Sciences

View full text Add to dashboard Cite

show abstract

“…Most of them cost a lot of computing time and computing memory. Even some of them such as the different method or the finite element method cost more than one week [9,14]. Therefore, in order to save the computing time and the computing memory, in our published papers, we had provided some numerical methods based on the separate variable method to compute the diffusion parameters of the linear process in the sphere device.…”

Section: Introductionmentioning

confidence: 99%

An Optimal Method for Diffusion Parameters of Nonlinear Diffusion Problem of Drug Releasing in 2D‐Disc Device by Separate Variable Method

Ouyang²,

Qin

et al. 2014

Mathematical Problems in Engineering

Self Cite

View full text Add to dashboard Cite

An optimization control model and the corresponding computational method drawing the diffusion parameters of the nonlinear problem for the drug releasing in the 2D-disc device were given in this paper. Firstly, based on the nonlinear diffusion equation of the drug releasing in the 2D-disc device, we used the linear diffusion problem to discrete the nonlinear diffusion problem with the discrete space and the discrete time. Then, by the separate variable method, the solution of the linear problem was given. Next, the least square method based on the separate variable idea (LSMSV) was used to estimate the nonlinear appropriate diffusion parameters. Finally, a numerical example was presented to show that the control model and the numerical method were valid for computing the diffusion coefficient of the nonlinear problem for the drug releasing in the 2D-disc device.

show abstract

“…Li et al [82] proposed the use of Newton's method for the optimization of effective drug delivery diffusion coefficients for cylindrical devices. The methodology implemented by Li et al involved the discretization of multiple transient mathematical equations describing Fickian and convective-diffusion out of a cylinder to an external finite volume.…”

Section: Drug Delivery Systemsmentioning

confidence: 99%

Optimization Methodologies for the Production of Pharmaceutical Products

Escotet‐Espinoza

Rogers

Ierapetritou

2016

Methods in Pharmacology and Toxicology

View full text Add to dashboard Cite

Finding the most beneficial conditions during the development of a given product or process is among one of the top goals for both scientist and engineers across all industries. In the pharmaceutical industry, as global competition increases and there is a higher demand for accessible quality products, it is important to focus on the improvement of product development and manufacturing. Optimization methodologies can greatly aid the production of pharmaceutical products by providing a systematic framework to process improvement. In this review, general concepts regarding the implementation of optimization methods are introduced along with examples of their application in pharmaceutical manufacturing process design and formulation development. An overview of optimization methodologies used for the improvement of batch and continuous pharmaceutical manufacturing is presented. Challenges in the application of optimization methods in pharmaceutical manufacturing are discussed along with a future outlook of the field and its place in pharmaceutical process and product design. Overall the review points to optimization as a critical component in the design of improved and effective pharmaceutical products, in alignment with the common goals of both regulatory agencies and industry.

show abstract

A Computer Algorithm for Optimizing to Extract Effective Diffusion Coefficients of Drug Delivery from Cylinders

Cited by 5 publications

References 5 publications

Mathematical modeling of drug delivery from cylindrical implantable devices

Mathematical modeling of drug delivery from cylindrical implantable devices

An Optimal Method for Diffusion Parameters of Nonlinear Diffusion Problem of Drug Releasing in 2D‐Disc Device by Separate Variable Method

Optimization Methodologies for the Production of Pharmaceutical Products

Contact Info

Product

Resources

About