Closed-form solutions for drug transport through controlled-release devices in two and three dimensions / Laurent Simon and Juan Ospina.

Format:

Book

Author/Creator:

Simon, Laurent, 1968- author.

Ospina, Juan, 1965- author.

Series:

New York Academy of Sciences

Language:

English

Subjects (All):

Drug delivery systems.

Pharmaceutical technology.

Physical Description:

1 online resource (301 p.)

Place of Publication:

Hoboken, New Jersey : John Wiley & Sons Inc., [2016]

Language Note:

English

Summary:

"Covers the modeling of drug-delivery systems and provides mathematical tools to evaluate and build controlled-release devices"--Provided by publisher.

Contents:

Cover; Title Page; Copyright; Contents; Preface; Acknowledgements; Chapter 1 Steady-State Analysis of a Two-Dimensional Model for Percutaneous Drug Transport; 1.1 Separation of Variables in 2-D Cartesian Coordinates; 1.2 Model for Drug Transport across the Skin; 1.3 Analytical Solution of the Diffusion Model in 2-D Cartesian Systems; 1.4 Summary; 1.5 Appendix: Maple, Mathematica, and Maxima Code Listings; Problems; References; Chapter 2 Constant Drug Release from a Hollow Cylinder of Finite Length in Two Dimensions; 2.1 Separation of Variables in 2-D Cylindrical Coordinates

2.2 Model for Drug Release from a Hollow Cylinder2.3 Analytical Solution of the Transport Model in 2-D Cylindrical Coordinates; 2.4 Summary; 2.5 Appendix: Maple Code Listings; Problems; References; Chapter 3 Analysis of Steady-State Growth Factor Transport Through Double-Layered Scaffolds; 3.1 Governing Steady-State Transport Equations; 3.2 Solution Procedure for Transport Through a Two-Layered Scaffold; 3.3 Concentration Profile of Vascular Endothelial Growth Factor in Two Layers; 3.4 Summary; 3.5 Appendix: Maple Code Listings; Problems; References

Chapter 4 Steady-State Two-Dimensional Diffusion in a Hollow Sphere4.1 Separation of Variables and Legendre Polynomials in 2-D Spherical Coordinates; 4.2 Model For 2-D Diffusion in a Sphere; 4.3 Analytical Solution of 2-D Diffusion in Spherical Coordinates; 4.4 Summary; 4.5 Appendix: Maple, Mathematica, and Maxima Code Listings; Problems; References; Chapter 5 Steady-State Three-Dimensional Drug Diffusion through Membranes from Distributed Sources; 5.1 Separation of Variables in 3-D Cartesian Coordinates; 5.2 Transport across the Membrane

5.3 Analytical Solution of the Diffusion Model in 3-D Cartesian Systems5.4 Summary; 5.5 Appendix: Maple Code Listings; Problems; References; Chapter 6 Constant Drug Release from a Hollow Cylinder of Finite Length in Three Dimensions; 6.1 Separation of Variables in 3-D Cylindrical Coordinates; 6.2 Model For 3-D Drug Release from a Hollow Cylinder; 6.3 Analytical Solution of the Transport Model in 3-D Cylindrical Coordinates; 6.4 Summary; 6.5 Appendix: Maple Code Listings; Problems; References; Chapter 7 Sustained Drug Release from a Hollow Sphere in Three Dimensions

7.1 Method of Green's Function in 3-D Spherical Coordinates7.2 Model for Molecular Transport across the Wall of a Hollow Sphere; 7.3 Analytical Solution of the Transport Model in 3-D Spherical Coordinates; 7.4 Summary; 7.5 Appendix: Maple, Mathematica and Maxima Code Listings; Problems; References; Chapter 8 Analysis of Transient Growth Factor Transport Through Double-Layered Scaffolds; 8.1 Laplace and Fourier-Bessel-based Methods in 2-D Cylindrical Coordinates; 8.2 Governing Equations for Transport through Double-Layered Scaffolds

8.3 Concentration Profile of Vascular Endothelial Growth Factor in Two Layers

Notes:

Includes bibliographical references at the end of each chapters and index.

Includes index.

Description based on print version record.

ISBN:

9781119055952

1119055954

9781119055976

1119055970

OCLC:

898113493