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Informationen zum Autor Greg Conradi Smith is a Professor in the Department of Applied Science and Neuroscience Program Faculty Affiliate at the College of William and Mary, Virginia. He was organizer of the Cold Spring Harbor Laboratory Summer School on Computational Cell Biology (2008–14). His research focuses on mathematical aspects of cell physiology and neuroscience. Klappentext What every neuroscientist should know about the mathematical modeling of excitable cells, presented at an introductory level. Zusammenfassung An integrated guide to cellular biophysics and nonlinear dynamics! introducing students to the mathematical modeling of excitable cells. It combines empirical physiology and mathematical theory to present key interdisciplinary tools! highlighting how quantitative approaches can complement and advance bench research. Inhaltsverzeichnis 1. Introduction; Part I. Models and Odes: 2. Compartmental modeling; 3. Phase diagrams; 4. Ligands, receptors and rate laws; 5. Function families and characteristic times; 6. Bifurcation diagrams of scalar ODEs; Part II. Passive Membranes: 7. The Nernst equilibrium potential; 8. The current balance equation; 9. GHK theory of membrane permeation; Part III. Voltage-Gated Currents: 10. Voltage-gated ionic currents; 11. Regenerative ionic currents and bistability; 12. Voltage-clamp recording; 13. Hodgkin-Huxley model of the action potential; Part IV. Excitability and Phase Planes: 14. The Morris-Lecar model; 15. Phase plane analysis; 16. Linear stability analysis; Part V. Oscillations and Bursting: 17. Type II excitability and oscillations; 18. Type I excitability and oscillations; 19. The low-threshold calcium spike; 20. Synaptic currents.
