# 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 |
---|

## 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 ... |

####
**Intro Algebra Review**
573 lessons

This course provides a brief review of introductory algebra topics. Topics to be covered include integer operations, order of operations, perimeter and area, fractions and decimals, scientific notatio

####
**Intro to Inferential Statistics**
490 lessons

Inferential statistics allows us to draw conclusions from data that might not be immediately obvious. This course focuses on enhancing your ability to develop hypotheses and use common tests such as t

####
**Intro to Descriptive Statistics**
395 lessons

Statistics is an important field of math that is used to analyze, interpret, and predict outcomes from data. Descriptive statistics will teach you the basic concepts used to describe data. This is a g

####
**Machine Learning for Trading**
218 lessons

This course introduces students to the real world challenges of implementing machine learning based trading strategies including the algorithmic steps from information gathering to market orders. The

####
**College Algebra**
2,462 lessons

Math is everywhere. In this class, you’ll gain an in-depth understanding of algebraic principles, many of which you may have seen before, and learn how to use them to solve problems that we encounte...

####
**Intro to Computer Science**
151 lessons

In this introduction to computer programming course, you’ll learn and practice key computer science concepts by building your own versions of popular web applications. You’ll learn Python, a power...

####
**Math of Finance - UCI**
15 lessons

Description: UCI Math 176 covers the following topics: reviewing of tools from probability, statistics, and elementary differential and partial differential equations, concepts such as hedging, arbitr

####
**Chemistry: Quantum Principles - UCI**
28 lessons

Description: This course provides an introduction to quantum mechanics and principles of quantum chemistry with applications to nuclear motions and the electronic structure of the hydrogen atom. It al

####
**Linear Algebra Refresher Course**
23 lessons

This mini-course is intended for students who would like a refresher on the basics of linear algebra. The course attempts to provide the motivation for "why" linear algebra is important in addition to

####
**Intro to Statistics**
960 lessons

Statistics is about extracting meaning from data. In this class, we will introduce techniques for visualizing relationships in data and systematic techniques for understanding the relationships using

**TAG Cloud**

**Web Stats**

Active courses: 1,156

Lessons: 27,681

Data: 83 GB

Online: 45 users

News about new courses