Description
Book SynopsisHow can we understand the complexity of genes, RNAs, and proteins and the associated regulatory networks? One approach is to look for recurring types of dynamical behavior. Mathematical models prove to be useful, especially models coming from theories of biochemical reactions such as ordinary differential equation models. Clever, careful experiments test these models and their basis in specific theories. This textbook aims to provide advanced students with the tools and insights needed to carry out studies of signal transduction drawing on modeling, theory, and experimentation. Early chapters summarize the basic building blocks of signaling systems: binding/dissociation, synthesis/destruction, and activation/inactivation. Subsequent chapters introduce various basic circuit devices: amplifiers, stabilizers, pulse generators, switches, stochastic spike generators, and oscillators. All chapters consistently use approaches and concepts from chemical kinetics and nonlinear dynamics, including rate-balance analysis, phase plane analysis, nullclines, linear stability analysis, stable nodes, saddles, unstable nodes, stable and unstable spirals, and bifurcations. This textbook seeks to provide quantitatively inclined biologists and biologically inclined physicists with the tools and insights needed to apply modeling and theory to interesting biological processes.
Key Features:
- Full-color illustration program with diagrams to help illuminate the concepts
- Enables the reader to apply modeling and theory to the biological processes
- Further Reading for each chapter
- High-quality figures available for instructors to download
Table of ContentsPreface. Acknowledgements. 1. Introduction. 2. Receptors I: Monomeric Receptors and Ligands. 3. Receptors II: Multimeric Receptors and Cooperativity. 4. Downstream Signaling I: Stoichiometric Regulation. 5. Downstream Signaling II: Covalent Modification. 6. Downstream Signaling III: Regulated Production or Destruction. 7. Cascades and Amplification. 8. Bistability I: Systems with One-Time Dependent Variable. 9. Bistability II: Systems with Two Time-Dependent Variables. 10. Transcritical Bifurcations in Phase Separation and Infectious Disease. 11. Negative Feedback I: Stability and Speed. 12. Negative Feedback II: Adaption. 13. Adaption II: Incoherent Feed-Forward Regulation and State-Dependent Activation. 14. Negative Feedback 3: Oscillations. 15. Relaxation Oscillators. 16. Excitability. 17. Wrap-Up. Glossary. Index.
