Modelling Degradation of Bioresorbable Polymeric Medical Devices

Modelling Degradation of Bioresorbable Polymeric Medical Devices

1st Edition - September 30, 2014

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  • Editor: J Pan
  • Hardcover ISBN: 9781782420163
  • eBook ISBN: 9781782420255

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The use of bioresorbable polymers in stents, fixation devices and tissue engineering is revolutionising medicine. Both industry and academic researchers are interested in using computer modelling to replace some experiments which are costly and time consuming. This book provides readers with a comprehensive review of modelling polymers and polymeric medical devices as an alternative to practical experiments. Chapters in part one provide readers with an overview of the fundamentals of biodegradation. Part two looks at a wide range of degradation theories for bioresorbable polymers and devices. The final set of chapters look at advances in modelling biodegradation of bioresorbable polymers. This book is an essential guide to those concerned with replacing tests and experiments with modelling.

Key Features

  • Provides a comprehensive mathematical framework for computer modelling of polymers and polymeric medical devices that can significantly reduce the number of experiments needed
  • Reviews the fundamental methods of modelling degradation, and applies these to particular materials including amorphous bioresorbable polyesters, semicrystalline biodegradable polyesters, and composite materials made of biodegradable polyesters and triclcium phosphates


R&D managers in the biomaterials and polymer chemical industry concerned with modelling and in vitro testing.  In particular those concerned with the regulatory procedures and testing of polymer medical devices.

Table of Contents

  • Part One: Fundamental methods of modelling degradation of bioresorbable polymeric medical devices

    1. Introduction to computer modelling for the design of biodegradable medical devices

    • Abstract
    • 1.1 Introduction
    • 1.2 General modelling techniques useful in studying device degradation
    • 1.3 The degradation pathway and models presented in this book
    • 1.4 Challenges and unresolved issues
    • Acknowledgements

    2. Modelling degradation of amorphous biodegradable polyesters: basic model

    • Abstract
    • 2.1 Introduction
    • 2.2 Hydrolysis rate equation
    • 2.3 Production of short chains
    • 2.4 Master equation for chain scission
    • 2.5 Summary of equations and list of symbols
    • 2.6 Analytical solutions of the master equation
    • 2.7 Numerical solution of the master equation
    • 2.8 Concluding remarks

    3. Modelling degradation of amorphous biodegradable polyesters: advanced model

    • Abstract
    • 3.1 Introduction
    • 3.2 Partition of carboxylic end groups on long and short chains
    • 3.3 Analytical solutions to the master equation
    • 3.4 Numerical solution and a parametric study of the model
    • 3.5 Separation of end scission from random scission
    • 3.6 Contributions from random and end scissions to polymer degradation
    • 3.7 Concluding remarks

    4. Modelling degradation of semi-crystalline biodegradable polyesters

    • Abstract
    • 4.1 Introduction
    • 4.2 Rate equation for chain scission in semi-crystalline polymers
    • 4.3 Actual and extended degrees of crystallinity
    • 4.4 Extended degree of crystallinity of chain cleavage-induced crystallisation
    • 4.5 Summary of governing equations for simultaneous chain scission and crystallisation
    • 4.6 Calculation of number-averaged molecular weight
    • 4.7 Comparison between models assuming fast and normal crystallisation
    • 4.8 Concluding remarks

    5. Modelling biodegradation of composite materials made of biodegradable polyesters and tricalcium phosphates (TCPs)

    • Abstract
    • 5.1 Introduction
    • 5.2 TCP dissolution and buffering reactions
    • 5.3 Rate equation for chain scission in presence of buffering reactions
    • 5.4 Governing equations for degradation of polyester-TCP composites
    • 5.5 Normalised equations
    • 5.6 TCP effectiveness map
    • 5.7 Concluding remarks

    6. Modelling heterogeneous degradation of polymeric devices due to short chain diffusion

    • Abstract
    • 6.1 Introduction
    • 6.2 Scission rate of long chains affected by short chain diffusion
    • 6.3 Diffusion equation for short chains
    • 6.4 Collection of the governing equations
    • 6.5 A numerical study of size effect
    • 6.6 Non-dimensionalisation and degradation map
    • 6.7 Effect of other factors on the degradation map
    • 6.8 Concluding remarks

    Part Two: Advanced methods of modelling degradation of bioresorbable polymeric medical devices

    7. Finite element analysis (FEA) of biodegradation of polymeric medical devices

    • Abstract
    • 7.1 Introduction
    • 7.2 Case study A: a three-dimensional cube
    • 7.3 Case study B: scaffolds in tissue engineering
    • 7.4 Case study C: internal bone-fixation screws
    • 7.5 Case study D: coronary stents
    • 7.6 Conclusions
    • Acknowledgement

    8. The effective diffusion coefficient of degrading polymers

    • Abstract
    • 8.1 Introduction
    • 8.2 Analytical expressions of the effective diffusion coefficient for a two-phase material
    • 8.3 Empirical expressions for the effective diffusion coefficient
    • 8.4 Molecular dynamics (MD) and Brownian dynamics (BD)
    • 8.5 The direct finite element (DFE) method for effective diffusion coefficients
    • 8.6 Summary
    • 8.7 Conclusions
    • Acknowledgements

    9. Mechanical properties of biodegradable polymers for medical applications

    • Abstract
    • 9.1 Fundamentals of mechanical properties in polymers
    • 9.2 Methods of measurement for mechanical properties
    • 9.3 Factors that influence the mechanical properties of bioresorbable polymers before degradation
    • 9.4 The degradation of mechanical properties
    • 9.5 Modelling changes in mechanical properties of degrading polymers
    • 9.6 Conclusions

    10. Molecular and multi-scale modelling methods of polymer device degradation

    • Abstract
    • 10.1 Introduction
    • 10.2 Mathematical models for polymer chain scission
    • 10.3 The Kinetic Monte Carlo (KMC) simulation of hydrolysis reactions
    • 10.4 A multi-scale model for device degradations
    • 10.5 Conclusions
    • Acknowledgement

Product details

  • No. of pages: 260
  • Language: English
  • Copyright: © Woodhead Publishing 2014
  • Published: September 30, 2014
  • Imprint: Woodhead Publishing
  • Hardcover ISBN: 9781782420163
  • eBook ISBN: 9781782420255

About the Editor

J Pan

Jingzhe Pan, University of Leicester, UK

Affiliations and Expertise

University of Leicester, UK

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