Book contents
- Frontmatter
- Contents
- Preface to the Second Edition
- Preface to the First Edition
- 1 Introduction
- 2 Natural Biological Nanomachines
- 3 Molecular Communication in Biological Systems
- 4 Molecular Communication Paradigm
- 5 A Layered Architecture of Molecular Communication
- 6 Mathematical Modelling and Simulation: Diffusion-Based Molecular Communication
- 7 Mathematical Modelling and Simulation: Biological Molecular Communication
- 8 Communication and Information Theory of Molecular Communication
- 9 Mobile Molecular Communication
- 10 Experimental Molecular Communication: Macroscale Systems
- 11 Design and Engineering of Molecular Communication Components
- 12 Design and Engineering of Molecular Communication Systems
- 13 Targeted Cluster Formation of Bio-nanomachines
- 14 Large-Scale Structure Formation of Bio-nanomachines
- 15 Externally Controllable Molecular Communication
- 16 Standardization in Molecular Communication
- 17 Conclusion
- Appendix Review of Probability Theory
- Index
6 - Mathematical Modelling and Simulation: Diffusion-Based Molecular Communication
Published online by Cambridge University Press: 12 December 2024
- Frontmatter
- Contents
- Preface to the Second Edition
- Preface to the First Edition
- 1 Introduction
- 2 Natural Biological Nanomachines
- 3 Molecular Communication in Biological Systems
- 4 Molecular Communication Paradigm
- 5 A Layered Architecture of Molecular Communication
- 6 Mathematical Modelling and Simulation: Diffusion-Based Molecular Communication
- 7 Mathematical Modelling and Simulation: Biological Molecular Communication
- 8 Communication and Information Theory of Molecular Communication
- 9 Mobile Molecular Communication
- 10 Experimental Molecular Communication: Macroscale Systems
- 11 Design and Engineering of Molecular Communication Components
- 12 Design and Engineering of Molecular Communication Systems
- 13 Targeted Cluster Formation of Bio-nanomachines
- 14 Large-Scale Structure Formation of Bio-nanomachines
- 15 Externally Controllable Molecular Communication
- 16 Standardization in Molecular Communication
- 17 Conclusion
- Appendix Review of Probability Theory
- Index
Summary
This chapter introduces detailed mathematical modelling for diffusion-based molecular communication systems. Mathematical and physical aspects of diffusion are covered, such as the Wiener process, drift, first arrival time distributions, the effect of concentration, and Fick’s laws. Simulation of molecular communication systems is also discussed.
- Type
- Chapter
- Information
- Molecular Communication , pp. 92 - 118Publisher: Cambridge University PressPrint publication year: 2024