Format:
1 online resource (279 pages)
Edition:
1st ed.
ISBN:
9783319300306
Series Statement:
Lecture Notes in Computational Science and Engineering Series v.111
Content:
Intro -- Preface -- Acknowledgments -- Contents -- 1 Background: Problem and Methods -- 1.1 Action Potentials -- 1.2 Markov Models -- 1.2.1 The Master Equation -- 1.2.2 The Master Equation of a Three-State Model -- 1.2.3 Monte Carlo Simulations Based on the Markov Model -- 1.2.4 Comparison of Monte Carlo Simulations and Solutions of the Master Equation -- 1.2.5 Equilibrium Probabilities -- 1.2.6 Detailed Balance -- 1.3 The Master Equation and the Equilibrium Solution -- 1.3.1 Linear Algebra Approach to Finding the Equilibrium Solution -- 1.4 Stochastic Simulations and Probability Density Functions -- 1.5 Markov Models of Calcium Release -- 1.6 Markov Models of Ion Channels -- 1.7 Mutations Described by Markov Models -- 1.8 The Problem and Steps Toward Solutions -- 1.8.1 Markov Models for Drugs: Open State and Closed State Blockers -- 1.8.2 Closed to Open Mutations (CO-Mutations) -- 1.8.3 Open to Closed Mutations (OC-Mutations) -- 1.9 Theoretical Drugs -- 1.10 Results -- 1.11 Other Possible Applications -- 1.12 Disclaimer -- 1.13 Notes -- 2 One-Dimensional Calcium Release -- 2.1 Stochastic Model of Calcium Release -- 2.1.1 Bounds of the Concentration -- 2.1.2 An Invariant Region for the Solution -- 2.1.3 A Numerical Scheme -- 2.1.4 An Invariant Region for the Numerical Solution -- 2.1.5 Stochastic Simulations -- 2.2 Deterministic Systems of PDEs Governing the Probability Density Functions -- 2.2.1 Probability Density Functions -- 2.2.2 Dynamics of the Probability Density Functions -- 2.2.3 Advection of Probability Density -- 2.2.3.1 Advection in a Very Special Case: The Channel Is Kept Open for All Time -- 2.2.3.2 Advection in Another Very Special Case: The Channel Is Kept Closed for All Time -- 2.2.3.3 Advection: The General Case -- 2.2.4 Changing States: The Effect of the Markov Model -- 2.2.5 The Closed State.
Note:
Description based on publisher supplied metadata and other sources
Additional Edition:
ISBN 9783319300290
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783319300290
Language:
English
