Mathematical models for society and biology /

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Mathematical Models for Society and Biology, second edition is a useful resource for researchers, graduate students, and post-docs in the applied mathematics and life science fields. Mathematical modeling is one of the major subfields of mathematical biology. A mathematical model may be used to help...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Beltrami, Edward J. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: London : Academic Press, [2013]
Edición:Second edition.
Temas:
Social sciences > Mathematical models.
Biology > Mathematical models.
Sciences sociales > Modèles mathématiques.
Biologie > Modèles mathématiques.
Biology > Mathematical models
Social sciences > Mathematical models
Acceso en línea:Texto completo (Requiere registro previo con correo institucional)
Tabla de Contenidos:
  • Front Cover; Mathematical Models for Society and Biology; Copyright; Dedication; Contents; Preface to the Second Edition; Acknowledgments; Chapter 1
  • Crabs and Criminals; 1.1 BACKGROUND; 1.2 TRANSITIONS BETWEEN STATES; 1.3 SOCIAL MOBILITY; 1.4 ABSORBING CHAINS; 1.5 RECIDIVISM; 1.6 CONCLUDING THOUGHTS; Chapter 2
  • It Isn't Fair; 2.1 BACKGROUND; 2.2 MANPOWER SCHEDULING; 2.3 APPORTIONMENT; 2.4 AN INHERITANCE IN THE TALMUD AND MADOFF'S SCHEME; 2.5 A FEW MATHEMATICAL DETAILS; 2.6 CONCLUDING THOUGHTS; Chapter 3
  • While the City Burns; 3.1 BACKGROUND; 3.2 POISSON EVENTS.
  • 3.3 THE INVERSE SQUARE-ROOT LAW3.4 THE ENCUMBRANCE OF AN URBAN GRID; 3.5 EQUILIBRIUM STATES; 3.6 HOW BUSY ARE THE FIRE COMPANIES?; 3.7 OPTIMAL DEPLOYMENT OF FIRE COMPANIES; 3.8 CONCLUDING THOUGHTS; Chapter 4
  • Clean Streets; 4.1 BACKGROUND; 4.2 EULER TOURS; 4.3 STREET SWEEPING; 4.4 VEHICLE SCHEDULING; 4.5 CONCLUDING THOUGHTS; Chapter 5
  • A Bayesian Take on Colorectal Screening, Baseball, Fund Managers, and a Murder; 5.1 BACKGROUND; 5.2 BAYES' THEOREM; 5.3 COLORECTAL SCREENING; 5.4 MURDER AND OJ SIMPSON; 5.5 SKEPTICAL BAYESIANS; 5.6 BATTING AVERAGES AND A PARADOX.
  • 5.7 A FEW MATHEMATICAL DETAILS5.8 COMPARING APPLES AND ORANGES; 5.9 CONCLUDING THOUGHTS; Chapter 6
  • What Are the Odds of That?; 6.1 BACKGROUND; 6.2 COINCIDENCE AND NEAR-COINCIDENCE; 6.3 A FEW MATHEMATICAL DETAILS; 6.4 FIRE ALARMS, BOMB HITS, AND BASEBALL STREAKS; 6.5 NOT A DESIGNER BUT A GARDENER; 6.6 CHI-SQUARED; 6.7 STOCK FUNDS AND BASEBALL STREAKS, REDUX; 6.8 CONCLUDING THOUGHTS; Chapter 7
  • It's Normal Not to Be Normal; 7.1 BACKGROUND; 7.2 THE ONE-PERCENTERS; 7.3 MARKET VOLATILITY; 7.4 A FEW MATHEMATICAL DETAILS; 7.5 CONCLUDING THOUGHTS; Chapter 8
  • Boom and Bust; 8.1 BACKGROUND.
  • 8.2 A FISHERY MODEL8.3 UNSTABLE EQUILIBRIA AND CYCLIC BEHAVIOR; 8.4 A SECOND LOOK AT THE FISHERY MODEL; 8.5 A RESTRICTED-ACCESS FISHERY; 8.6 CONCLUDING THOUGHTS; Chapter 9
  • Viral Outbreaks and Blood Clots; 9.1 BACKGROUND; 9.2 MEASLES EPIDEMICS; 9.3 CHAOTIC DYNAMICS OR RANDOMNESS?; 9.4 PREDATOR-MEDIATED COEXISTENCE; 9.5 AN UNUSUAL BLOOM; 9.6 VIRAL CONTAMINATION OF ALGAE; 9.7 BLOOD CLOTTING; 9.8 CONCLUDING THOUGHTS; Chapter 10
  • Red Tides and Whatever Happened to the Red Squirrel?; 10.1 BACKGROUND; 10.2 REACTION AND DIFFUSION; 10.3 ALGAL PATCHES; 10.4 TRAVELING WAVES.
  • 10.5 THE SPREAD OF THE GRAY SQUIRREL10.6 RABID FOXES AND TRAFFIC CONGESTION; 10.7 CONCLUDING THOUGHTS; Chapter 11
  • Spatial Patterns: The Cat's Tail and Spreading Slime; 11.1 BACKGROUND; 11.2 STRIPES OR SPLOTCHES?; 11.3 SLIME MOLDS; Chapter 12
  • The Coil of Life; 12.1 BACKGROUND; 12.2 LINK, TWIST, AND WRITHE; 12.3 LOOPY DNA; 12.4 THE GAUSS LINKING NUMBER; 12.5 CONCLUDING THOUGHTS; Afterthoughts on Modeling; Appendix A
  • The Normal Density; Appendix B
  • Poisson Events; Appendix C
  • Nonlinear Differential Equations and Oscillations; Appendix D
  • Conditional Probability; References; Index.

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