Bruce J. West, US Army Research Office, Cary, US

• Table of Content: Chapter 1: Complexity Science 1.1 It started with physics 1.2 Complexity 1.3 Measures of size 1.4 Allometry heuristics 1.5 Overview Chapter 2: Empirical Allometry 2.1 Living networks 2.2 Physical networks 2.3 Natural history 2.4 Sociology 2.5 Summary Chapter 3 Statistics, Scaling and Simulation 3.1 Interpreting fluctuations 3.2 Phenomenological distributions 3.3 Are ARs universal? 3.4 Summary Chapter 4: Models & Derivations of ARs 4.1 Optimization principles 4.2 Scaling and allometry 4.3 Stochastic differential equations 4.4 Fokker-Planck equations 4.5 Summary Chapter 5: Complex and Strange Kinetics 5.1 Fractional thinking 5.2 Fractional rate equations 5.3 Fractional Poisson process 5.4 A closer look at complexity 5.5 Recapitulation 5.6 Appendix Chapter 6: Fractional Probability Calculus 6.1 Fractional Fokker-Planck equation 6.2 Fully fractional phase space equations 6.3 Entropy entails allometry 6.4 Statistics of allometry parameters 6.5 Discussion and conclusions 6.6 Epilogue

Bruce J. West, US Army Research Office, Cary, US

• Table of Content: Chapter 1: Complexity Science 1.1 It started with physics 1.2 Complexity 1.3 Measures of size 1.4 Allometry heuristics 1.5 Overview Chapter 2: Empirical Allometry 2.1 Living networks 2.2 Physical networks 2.3 Natural history 2.4 Sociology 2.5 Summary Chapter 3 Statistics, Scaling and Simulation 3.1 Interpreting fluctuations 3.2 Phenomenological distributions 3.3 Are ARs universal? 3.4 Summary Chapter 4: Models & Derivations of ARs 4.1 Optimization principles 4.2 Scaling and allometry 4.3 Stochastic differential equations 4.4 Fokker-Planck equations 4.5 Summary Chapter 5: Complex and Strange Kinetics 5.1 Fractional thinking 5.2 Fractional rate equations 5.3 Fractional Poisson process 5.4 A closer look at complexity 5.5 Recapitulation 5.6 Appendix Chapter 6: Fractional Probability Calculus 6.1 Fractional Fokker-Planck equation 6.2 Fully fractional phase space equations 6.3 Entropy entails allometry 6.4 Statistics of allometry parameters 6.5 Discussion and conclusions 6.6 Epilogue

Bruce J. West, US Army Research Office, Cary, US

• Table of Content: Chapter 1: Complexity Science 1.1 It started with physics 1.2 Complexity 1.3 Measures of size 1.4 Allometry heuristics 1.5 Overview Chapter 2: Empirical Allometry 2.1 Living networks 2.2 Physical networks 2.3 Natural history 2.4 Sociology 2.5 Summary Chapter 3 Statistics, Scaling and Simulation 3.1 Interpreting fluctuations 3.2 Phenomenological distributions 3.3 Are ARs universal? 3.4 Summary Chapter 4: Models & Derivations of ARs 4.1 Optimization principles 4.2 Scaling and allometry 4.3 Stochastic differential equations 4.4 Fokker-Planck equations 4.5 Summary Chapter 5: Complex and Strange Kinetics 5.1 Fractional thinking 5.2 Fractional rate equations 5.3 Fractional Poisson process 5.4 A closer look at complexity 5.5 Recapitulation 5.6 Appendix Chapter 6: Fractional Probability Calculus 6.1 Fractional Fokker-Planck equation 6.2 Fully fractional phase space equations 6.3 Entropy entails allometry 6.4 Statistics of allometry parameters 6.5 Discussion and conclusions 6.6 Epilogue