# Mathematical Biology - UCI

Introduction to Mathematical Modeling in Biology is taught by Professor German A. Enciso, Ph.D.

The book for this class is "Mathematical Models in Biology" by Leah Edelstein-Keshet, SIAM, 2005 and covers materials from chapters 4-8.

UCI Math 113B: Intro to Mathematical Modeling in Biology (Fall 2014)

Required attribution: Enciso, German A. Math 113B (UCI OpenCourseWare: University of California, Irvine), ocw.uci.edu/courses/math_113b_in....html. [Access date]. License: Creative Commons Attribution-ShareAlike 3.0 United States License. (creativecommons.org/licenses/by-...n_US)

## Lessons hide description |
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## 1) 01: Introduction to the Course## Lec 01. Intro to Mathematical Modeling in Biology: Introduction to the Course Instructor: German A. Enciso, Ph.D. Textbook: Mathematical Models in Biology by Leah Edelstein-Keshet, SIAM, 2005 Rec ... |

## 2) 02: Bacterial Growth## Lec 02. Intro to Mathematical Modeling in Biology: Bacterial Growth Instructor: German A. Enciso, Ph.D. Textbook: Mathematical Models in Biology by Leah Edelstein-Keshet, SIAM, 2005 Recorded on ... |

## 3) 03: Nondimensionalization## Lec 03. Intro to Mathematical Modeling in Biology: Nondimensionalization Instructor: German A. Enciso, Ph.D. Textbook: Mathematical Models in Biology by Leah Edelstein-Keshet, SIAM, 2005 Recorded ... |

## 4) 04: Steady States and Linearization## Lec 04. Intro to Mathematical Modeling in Biology: Steady States and Linearization Instructor: German A. Enciso, Ph.D. Textbook: Mathematical Models in Biology by Leah Edelstein-Keshet, SIAM, 200 ... |

## 5) 05: Linear Systems I## Lec 05. Intro to Mathematical Modeling in Biology: Linear Systems I Instructor: Knut Solna, Ph.D. Textbook: Mathematical Models in Biology by Leah Edelstein-Keshet, SIAM, 2005 Recorded on January ... |

## 6) 06: Linear Systems II## Lec 06. Intro to Mathematical Modeling in Biology: Linear Systems II Instructor: Knut Solna, Ph.D. Textbook: Mathematical Models in Biology by Leah Edelstein-Keshet, SIAM, 2005 Recorded on Januar ... |

## 7) 07: Stability Analysis## Lec 07. Intro to Mathematical Modeling in Biology: Stability Analysis Instructor: German A. Enciso, Ph.D. Textbook: Mathematical Models in Biology by Leah Edelstein-Keshet, SIAM, 2005 Recorded on ... |

## 8) 08: Phase Diagrams## Lec 08. Intro to Mathematical Modeling in Biology: Phase Diagrams Instructor: German A. Enciso, Ph.D. Textbook: Mathematical Models in Biology by Leah Edelstein-Keshet, SIAM, 2005 Recorded on Jan ... |

## 9) 09: Phase Diagrams II## Lec 09. Intro to Mathematical Modeling in Biology: Phase Diagrams II Instructor: German A. Enciso, Ph.D. Textbook: Mathematical Models in Biology by Leah Edelstein-Keshet, SIAM, 2005 Recorded on ... |

## 10) 10: Phase Diagrams III## Lec 10. Intro to Mathematical Modeling in Biology: Phase Diagrams III Instructor: German A. Enciso, Ph.D. Textbook: Mathematical Models in Biology by Leah Edelstein-Keshet, SIAM, 2005 Recorded on ... |

## 11) 11: Single Species Population Models## Lec 11. Intro to Mathematical Modeling in Biology: Single Species Population Models Instructor: German A. Enciso, Ph.D. Textbook: Mathematical Models in Biology by Leah Edelstein-Keshet, SIAM, 200 ... |

## 12) 12: Midterm Review## Lec 12. Intro to Mathematical Modeling in Biology: Midterm Review Instructor: German A. Enciso, Ph.D. Textbook: Mathematical Models in Biology by Leah Edelstein-Keshet, SIAM, 2005 Recorded on Fe ... |

## 13) 13: Lotka Volterra Competiton## Lec 13. Intro to Mathematical Modeling in Biology: Lotka Volterra Competition Instructor: German A. Enciso, Ph.D. Textbook: Mathematical Models in Biology by Leah Edelstein-Keshet, SIAM, 2005 Rec ... |

## 14) 14: Predator Prey Model## Lec 14. Intro to Mathematical Modeling in Biology: Predator Prey Model Instructor: German A. Enciso, Ph.D. Textbook: Mathematical Models in Biology by Leah Edelstein-Keshet, SIAM, 2005 Recorded o ... |

## 15) 15: SIR Model## Lec 15. Intro to Mathematical Modeling in Biology: SIR Model Instructor: German A. Enciso, Ph.D. Textbook: Mathematical Models in Biology by Leah Edelstein-Keshet, SIAM, 2005 Recorded on February ... |

## 16) 16: Michaelis Menten Enzyme Model## Lec 16. Intro to Mathematical Modeling in Biology: Michaelis Menten Enzyme Model Instructor: German A. Enciso, Ph.D. Textbook: Mathematical Models in Biology by Leah Edelstein-Keshet, SIAM, 2005 ... |

## 17) 17: Timescale Decomposition## Lec 17. Intro to Mathematical Modeling in Biology: Timescale Decomposition Instructor: German A. Enciso, Ph.D. Textbook: Mathematical Models in Biology by Leah Edelstein-Keshet, SIAM, 2005 Record ... |

## 18) 18: Quasi Steady State Analysis## Lec 18. Intro to Mathematical Modeling in Biology: Quasi Steady State Analysis Instructor: German A. Enciso, Ph.D. Textbook: Mathematical Models in Biology by Leah Edelstein-Keshet, SIAM, 2005 Re ... |

## 19) 19: Sigmoidal Functions, Multisite Systems## Lec 19. Intro to Mathematical Modeling in Biology: Sigmoidal Functions, Multisite Systems Instructor: German A. Enciso, Ph.D. Textbook: Mathematical Models in Biology by Leah Edelstein-Keshet, SIA ... |

## 20) 20: Chemical Kinetics: Mass Action Law## Lec 20. Intro to Mathematical Modeling in Biology: Chemical Kinetics: Mass Action Law Instructor: German A. Enciso, Ph.D. Textbook: Mathematical Models in Biology by Leah Edelstein-Keshet, SIAM, ... |

## 21) 21: Hopf Bifurcations## Lec 21. Intro to Mathematical Modeling in Biology: Hopf Bifurcations Instructor: German A. Enciso, Ph.D. Textbook: Mathematical Models in Biology by Leah Edelstein-Keshet, SIAM, 2005 Recorded on ... |

## 22) 22: Subcritical Hopf## Lec 22. Intro to Mathematical Modeling in Biology: Subcritical Hopf Instructor: German A. Enciso, Ph.D. Textbook: Mathematical Models in Biology by Leah Edelstein-Keshet, SIAM, 2005 Recorded on ... |

## 23) 23: Poincare-Bendixson## Lec 23. Intro to Mathematical Modeling in Biology: Poincare-Bendixson Instructor: German A. Enciso, Ph.D. Textbook: Mathematical Models in Biology by Leah Edelstein-Keshet, SIAM, 2005 Recorded o ... |

## 24) 24: Poincare-Bendixon II## Lec 24. Intro to Mathematical Modeling in Biology: Poincare-Bendixon II Instructor: German A. Enciso, Ph.D. Textbook: Mathematical Models in Biology by Leah Edelstein-Keshet, SIAM, 2005 Recorded ... |

## 25) 25: Index Theory## Lec 25. Intro to Mathematical Modeling in Biology: Index Theory Instructor: German A. Enciso, Ph.D. Textbook: Mathematical Models in Biology by Leah Edelstein-Keshet, SIAM, 2005 Recorded on March ... |

## 26) 26: Final Review, Part 1## Lec 26. Intro to Mathematical Modeling in Biology: Final Review Part 1 Instructor: German A. Enciso, Ph.D. Textbook: Mathematical Models in Biology by Leah Edelstein-Keshet, SIAM, 2005 Recorded o ... |

## 27) 27: Final Review, Part 2## Lec 27. Intro to Mathematical Modeling in Biology: Final Review, Part 2 Instructor: German A. Enciso, Ph.D. Textbook: Mathematical Models in Biology by Leah Edelstein-Keshet, SIAM, 2005 Recorded ... |

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