## Laboratory Manual of Biomathematics
It provides hands-on exploration of model development, model validation, and model refinement, enabling students to truly experience advancements made in biology by mathematical models. Each of the projects offered can be used as individual module in traditional biology or mathematics courses such as calculus, ordinary differential equations, elementary probability, statistics, and genetics. Biological topics include: Ecology, Toxicology, Microbiology, Epidemiology, Genetics, Biostatistics, Physiology, Cell Biology, and Molecular Biology . Mathematical topics include Discrete and continuous dynamical systems, difference equations, differential equations, probability distributions, statistics, data transformation, risk function, statistics, approximate entropy, periodic components, and pulse-detection algorithms. It includes more than 120 exercises derived from ongoing research studies. This text is designed for courses in mathematical biology, undergraduate biology majors, as well as general mathematics. The reader is not expected to have any extensive background in either math or biology. * Can be used as a computer lab component of a course in biomathematics or as homework projects for independent student work * Biological topics include: Ecology, Toxicology, Microbiology, Epidemiology, Genetics, Biostatistics, Physiology, Cell Biology, and Molecular Biology * Mathematical topics include: Discrete and continuous dynamical systems, difference equations, differential equations, probability distributions, statistics, data transformation, risk function, statistics, approximate entropy, periodic components, and pulse-detection algorithms * Includes more than 120 exercises derived from ongoing research studies |

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### Contents

1 | |

Logistic Models of SingleSpecies Population Dynamics Equilibrium States and LongTerm Behavior | 19 |

Physiological Mechanisms of Drug Elimination from the Bloodstream and Optimal Drug Intake Regimens | 29 |

Epidemic Models | 43 |

PredatorPrey Models | 57 |

Selection in Genetics The Effect of A Maladaptive or Lethal Gene | 71 |

Quantitative Genetics and Statistics | 79 |

Blood Glucose Fluctuation Characteristics in Type I versus Type II Diabetes Mellitus | 99 |

Using Heartbeat Characteristics and Patterns to Predict Sepsis in Neonates | 113 |

Hormone Pulsatility in Reproductive Endocrinology | 131 |

Endocrine Oscillators Modeling and Analysis of the Growth Hormone Network | 143 |

Chemical Perturbation on the Operations of Circadian Clocks | 159 |

### Other editions - View all

Laboratory Manual of Biomathematics Raina S. Robeva,James R. Kirkwood,Robin L. Davies Limited preview - 2008 |

Laboratory Manual of Biomathematics Raina S. Robeva,James R. Kirkwood,Robin L. Davies No preview available - 2008 |