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Closed-form solutions for drug transport through controlled-release devices in two and three dimensions

Author: Laurent Simon; Juan Ospina
Publisher: Hoboken, New Jersey : John Wiley & Sons Inc., [2015]
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
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"Covers the modeling of drug-delivery systems and provides mathematical tools to evaluate and build controlled-release devices"--Provided by publisher.
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Simon, Laurent, 1968-, author.
Closed-form solutions for drug transport through controlled-release devices in two and three dimensions.
Hoboken, New Jersey : John Wiley & Sons Inc., [2015]
(DLC) 2014047534
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Laurent Simon; Juan Ospina
ISBN: 9781119055952 1119055954 9781119055945 1119055946 9781119055976 1119055970
OCLC Number: 898113493
Notes: Includes index.
Description: 1 online resource.
Contents: TITLE PAGE; COPYRIGHT; TABLE OF CONTENTS; PREFACE; ACKNOWLEDGMENTS; 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; 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; 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 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; 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; 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; 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; 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
Responsibility: Laurent Simon and Juan Ospina.
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Abstract:

Provides solutions for two- and three-dimensional linear models of controlled-release systems. This book covers the modeling of drug-delivery systems and provides mathematical tools to evaluate and  Read more...

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