Modeling in Biopharmaceutics, Pharmacokinetics and Pharmacodynamics

Homogeneous and Heterogeneous Approaches

  • Panos Macheras
  • Athanassios Iliadis

Part of the Interdisciplinary Applied Mathematics book series (IAM, volume 30)

Table of contents

  1. Front Matter
    Pages i-xxii
  2. Basic Concepts

    1. Front Matter
      Pages 1-2
    2. Panos Macheras, Athanassios Iliadis
      Pages 3-14
    3. Panos Macheras, Athanassios Iliadis
      Pages 15-36
    4. Panos Macheras, Athanassios Iliadis
      Pages 37-49
  3. Modeling in Biopharmaceutics

    1. Front Matter
      Pages 51-52
    2. Panos Macheras, Athanassios Iliadis
      Pages 53-82
    3. Panos Macheras, Athanassios Iliadis
      Pages 83-108
    4. Panos Macheras, Athanassios Iliadis
      Pages 109-158
  4. Modeling in Pharmacokinetics

    1. Front Matter
      Pages 159-160
    2. Panos Macheras, Athanassios Iliadis
      Pages 161-189
    3. Panos Macheras, Athanassios Iliadis
      Pages 191-210
    4. Aris Dokoumetzidis
      Pages 211-225
    5. Panos Macheras, Athanassios Iliadis
      Pages 255-339
  5. Modeling in Pharmacodynamics

    1. Front Matter
      Pages 341-342
    2. Panos Macheras, Athanassios Iliadis
      Pages 343-360
    3. Panos Macheras, Athanassios Iliadis
      Pages 361-403
    4. Panos Macheras, Athanassios Iliadis
      Pages 405-409
  6. Back Matter
    Pages 411-483

About this book


The state of the art in Biopharmaceutics, Pharmacokinetics, and Pharmacodynamics Modeling is presented in this new second edition book. It shows how advanced physical and mathematical methods can expand classical models in order to cover heterogeneous drug-biological processes and therapeutic effects in the body.

The book is divided into four parts; the first deals with the fundamental principles of fractals, diffusion and nonlinear dynamics; the second with drug dissolution, release, and absorption; the third with epirical, compartmental, and stochastic pharmacokinetic models, with two new chapters, one on fractional pharmacokinetics and one on bioequivalence; and the fourth mainly with classical and nonclassical aspects of pharmacodynamics. The classical models that have relevance and application to these sciences are also considered throughout. This second edition has new information on reaction limited models of dissolution, non binary biopharmaceutic classification system, time varying models, and interface models. Many examples are used to illustrate the intrinsic complexity of drug administration related phenomena in the human, justifying the use of advanced modeling methods.

This book will appeal to graduate students and researchers in pharmacology, pharmaceutical sciences, bioengineering, and physiology.

Reviews of the first edition:

"This book presents a novel modelling approach to biopharmaceutics, pharmacokinetics and pharmacodynamic phenomena. This state-of-the-art volume will be helpful to students and researchers in pharmacology, bioengineering, and physiology. This book is a must for pharmaceutical researchers to keep up with recent developments in this field." (P. R. Parthasarathy, Zentralblatt MATH, Vol. 1103 (5), 2007)

"These authors are the unique (or sole) contributors in this area that are working on these questions and bring a special expertise to the field that is now being recognized as essential to understanding biological system and kinetic/dynamic characteristics in drug development...This text is an essential primer for those who would envision the incorporation of heterogeneous approaches to systems where homogeneous approaches are not sufficient to describe the system." (Robert R. Bies, Journal of Clinical Pharmacology, Vol. 46, 2006)


Bioequivalence Biopharmaceutics Diffusion and Kinetics Modeling Nonlinear Dynamics Pharmacodynamics Pharmacokinetics

Authors and affiliations

  • Panos Macheras
    • 1
  • Athanassios Iliadis
    • 2
  1. 1.National and Kapodistrian Univof AthensFaculty of Pharmacy National and Kapodistrian Univof AthensAthensGreece
  2. 2.Aix-Marseille UniversityFaculty of Pharmacy Aix-Marseille UniversityMarseilleFrance

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing Switzerland 2016
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-27596-3
  • Online ISBN 978-3-319-27598-7
  • Series Print ISSN 0939-6047
  • Series Online ISSN 2196-9973
  • Buy this book on publisher's site