Mathematical Biology. 06: Linear Systems II

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

License: Creative Commons CC-BY-SA

Description: UCI Math 113B is intended for both mathematics and biology undergrads with a basic mathematics background, and it consists of an introduction to modeling biological problems using continuous ODE methods (rather than discrete methods as used in 113A). We describe the basic qualitative behavior of dynamical systems in the context of a simple population model. As time allows, we will then discuss other types of models such as chemical reactions inside the cell, or excitable systems leading to oscillations and neuronal signals. The necessary linear algebra is also discussed to avoid including additional requirements for this course.

Recorded on January 17, 2014

[ldb]

I believe there are two errors.
30:15, p=1/2... should be p = 1/(2i)...
51:55, x2 dot = -k*x1 should be = -k/m*x1, and so in the matrix should be -k/m instead of -k 

[thelastcipher]

@28:37 Did he just write a complex number is equal to its conjugate? I know they are if the imaginary component is zero, but they are not if the imaginary component is nonzero. What am I missing?

[Misuci]

KNUT SOLNA just let the most important the CONTEXT get lost...