Author | Schnakenberg, J. author |
---|---|
Title | Thermodynamic Network Analysis of Biological Systems [electronic resource] / by J. Schnakenberg |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1981 |
Edition | 2nd Corrected and Updated Edition |
Connect to | http://dx.doi.org/10.1007/978-3-642-67971-1 |
Descript | X, 150 p. online resource |
1. Introduction -- 2. Models -- 2.1 The Purpose and Nature of Models -- 2.2 Enzyme-Catalyzed Reactions and the Michaelis-Menten Kinetics -- 2.3 Transport Across Membranes: A Black-Box Approach -- 2.4 Excitation of the Nervous Membrane: Hodgkin-Huxley Equations -- 2.5 A Cooperative Model for Nerve Excitation -- 2.6 The Volterra-Lotka Model -- 2.7 A Model for the Control of Metabolic Reaction Chains -- 3. Thermodynamics -- 3.1 Thermodynamics Systems -- 3.2 The First Law of Thermodynamics -- 3.3 The Second Law of Thermodynamics -- 3.4 Temperature and Transfer of Heat -- 3.5 Chemical Potential and the Transfer of Matter -- 3.6 Chemical Reactions -- 3.7 Some Basic Relations of Equilibrium Thermodynamics -- 3.8 Perfect Gases and Ideal Mixtures -- 3.9 Linear Irreversible Thermodynamics -- 4. Networks -- 4.1 Network Language and Its Processes -- 4.2 Storage Elements: Generalized Capacitances -- 4.3 Kirchhoffโs Current Law and the 0-Junction -- 4.4 Unimolecular Reactions -- 4.5 Higher-Order Reactions, Kirchhoffโs Voltage Law and the 1-Junction -- 4.6 Diffusion -- 5. Networks for Transport Across Membranes -- 5.1 Pore Models -- 5.2 Pore Blocking -- 5.3 Self-Blocking of Pores -- 5.4 Carrier Models -- 5.5 Active Transport -- 5.6 Hodgkin-Huxley Equations and the Coupling of Material and Electric Flux -- 5.7 Nernst-Planck Equations -- 5.8 The Photoreceptor Potential -- 6. Feedback Networks -- 6.1 Autocatalytic Feedback Loops -- 6.2 An Autocatalytic Excitation Model -- 6.3 Networks of A1-Elements -- 6.4 Limit Cycle Networks -- 7. Stability -- 7.1 Capacitances as Thermodynamic Equilibrium Systems -- 7.2 Stability of the Equilibrium State -- 7.3 Tellegenโs Theorem and Liapunov Stability of the Equilibrium -- 7.4 Glansdorff-Prigogine Criterion for the Stability of Nonequilibrium Steady States -- 7.5 Uniqueness of Steady States -- 7.6 Globally and Asymptotically Stable Networks -- 7.7 Global Stability Techniques -- References