title: Mathematical Modeling of Pharmacokinetic Data
author: Steven Strauss
description: "It is an explaining book, rather than an instruction manual, and it is well produced." --Trends in Pharmacological Sciences
zlib_text: Chapter 7
  Multi-Scale Analysis of
  Angiogenic Dynamics and
  Therapy
  Levon Arakelyan, Yifat Merbl, Peteris Daugulis, Yuval Ginosar, Vladimir
  Vainstein, Vera Selitser, Yuri Kogan, Hila Harpak, and Zvia Agur
  Institute for Medical Biomathematics (IMBM), Bene Ataroth (Israel)
  7.1 Introduction
  7.2 Deﬁning the Challenge
  7.2.1 Analysis of Experimental Results
  7.3 Mathematical Models of Tumour Growth and Angiogenesis
  7.3.1 Continuous Models
  7.3.2 A Discrete Model
  7.4 Applying the Models: From Theory to the Clinic
  7.4.1 Simulation Results
  7.4.2 Devising Drug Pharmacokinetic and Pharmacodynamic
  Models for Angiogenesis Simulations
  7.5 Discussion
  7.6 Conclusions
  Acknowledgments
  7.7 References
  7.1
  Introduction
  Growth of malignant tumours beyond the diameter of 1 to 2 mm critically de-
  pends on their neovascularization, which provides vital nutrients and growth factors,
  ©2003 CRC Press LLC
  
  and also clears toxic waste products of cellular metabolism [1]. Indeed angiogenesis
  — the formation of new blood