Cell Kinetic Modelling and the Chemotherapy of Cancer

During the last 30 years, many chemical compounds that are active against tumors have been discovered or developed. At the same time, new methods of testing drugs for cancer therapy have evolved. nefore 1964, drug testing on animal tumors was directed to observation of the incfease in life span of t...

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Bibliographic Details
Main Author: Knolle, Helmut
Format: eBook
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1988, 1988
Edition:1st ed. 1988
Series:Lecture Notes in Biomathematics
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • I. Mathematical models of cell populations
  • 1. Proliferation and differentiation of cells
  • 2. The cell cycle
  • 3. The simple model of tumor growth
  • 4. The extended model of tumor growth
  • 5. Cell age distribution and phase indices
  • 6. The general model with distributed cycle time
  • 7. The Kendall-Takahashi model
  • II. Determination of cell kinetic parameters
  • Introduction: Cell kinetic experiments
  • III. Cell kinetics and cancer therapy
  • 1. The surviving fraction after a single dose
  • 2. Phase-specific cell kill
  • 3. Block of the cell cycle
  • 4. Recruitment of resting cells
  • 5. A complex mathematical model and computer programs
  • 6. Implications for drug testing
  • 7. Potential implications for therapy
  • 1. Limit theorems for matrix models
  • 2. A model with periodic parameters
  • 3. Pharmacokinetics and the dose-effect relation
  • List of symbols
  • References