Author | Hoppensteadt, Frank C. author |
---|---|
Title | Modeling and Simulation in Medicine and the Life Sciences [electronic resource] / by Frank C. Hoppensteadt, Charles S. Peskin |
Imprint | New York, NY : Springer New York : Imprint: Springer, 2002 |
Edition | Second Edition |
Connect to | http://dx.doi.org/10.1007/978-0-387-21571-6 |
Descript | XIV, 355 p. online resource |
1 The Heart and Circulation -- 1.1 Plan of the Circulation -- 1.2 Volume, Flow, and Pressure -- 1.3 Resistance and Compliance Vessels -- 1.4 The Heart as a Pair of Pumps -- 1.5 Mathematical Model of the Uncontrolled Circulation -- 1.6 Balancing the Two Sides of the Heart and the Two Circulations -- 1.7 The Need for External Circulatory Control Mechanisms -- 1.8 Neural Control: The Baroreceptor Loop -- 1.9 Autoregulation -- 2 Gas Exchange in the Lungs -- 2.1 The Ideal Gas Law and the Solubility of Gases -- 2.2 The Equations of Gas Transport in One Alveolus -- 2.3 Gas Transport in the Lung -- 2.4 Optimal Gas Transport -- 2.5 Mean Alveolar and Arterial Partial Pressures -- 2.6 Transport of O2 -- 2.7 Computer Solution of the Equations for O2 Transport in the Lung -- 2.8 Computing Projects Concerning Oxygen Transport by the Lung -- 2.9 Annotated References -- Exercises -- 3 Control of Cell Volume and Electrical Properties of Cell Membranes -- 3.1 Osmotic Pressure and the Work of Concentration -- 3.2 A Simple Model of Cell Volume Control -- 3.3 The Movement of Ions Across Cell Membranes -- 3.4 The Interaction of Electrical and Osmotic Effects -- 3.5 The Hodgkin-Huxley Equations for the Nerve Action Potential -- 3.6 Computer Simulation of the Nerve Action Potential -- 3.7 Suggestions for Computing Projects Concerning the Nerve Impulse -- 3.8 Annotated References -- Exercises -- 4 The Renal Countercurrent Mechanism -- 4.1 The Nephron -- 4.2 Dynamics of Na+ and H2O: Transport along the Renal Tubules -- 4.3 The Loop of Henle -- 4.4 The Juxtaglomerular Apparatus and the Renin-Angiotensin System -- 4.5 The Distal Tubule and Collecting Duct: Concentrating and Diluting Modes -- 4.6 Remarks on the Significance of the Juxtaglomerular Apparatus -- 4.7 How Nephrons Do Better Than a Factor of e -- 4.8 Computing Project on the Interacting Nephron Population Model -- 4.9 Annotated References -- Exercises -- 5 Muscle Mechanics -- 5.1 The Force-Velocity Curve -- 5.2 Crossbridge Dynamics -- 5.3 Computer Simulation of Crossbridge Attachment and Detachment -- 5.4 Suggested Computing Projects on Crossbridge Dynamics -- 5.5 Annotated References -- Exercises -- 6 Neural Systems -- 6.1 Guttmanโs Experiments on Phase Locking -- 6.2 Biological Rhythms -- 6.3 Model Neural Networks -- 6.4 Annotated References -- Exercises -- 7 Population Dynamics -- 7.1 Bacterial Cultures -- 7.2 Age Structures -- 7.3 Microbial Ecology -- 7.4 Nonlinear Reproduction Curves -- 7.5 Controlling Populations -- 7.6 Annotated References -- Exercises -- 8 Genetics -- 8.1 Population Genetics -- 8.2 Biotechnology -- 8.3 Annotated References -- Exercises -- 9 A Theory of Epidemics -- 9.1 Spread of Infection Within a Family -- 9.2 The Threshold of an Epidemic -- 9.3 Predicting the Severity of an Epidemic -- 9.4 Annotated References -- Exercises -- 10 Patterns of Population Growth and Dispersal -- 10.1 Random Walks and the Process of Diffusion -- 10.2 Bacterial Growth on a Petri Plate -- 10.3 Concluding Remarks -- 10.4 Annotated References -- Exercises -- Appendix A Getting Started with Matrices and Matlab -- Appendix B Background on Random Processes