Mathematical Biology. 01: Introduction to the Course

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

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 6, 2014

[raquelcardoso]

Thank you a lot. These videos helped me to finish my Master.

[CataM]

Awesome teacher. Thank you for sharing

[qaisarbadshah]

please mention the name of book for the beginner in this field

[theshreyansjain]

Reference book- leah edelstein-keshet: mathematical models in biology

[RubenR-duhg]

pH.. balance is the titration of the acidity of skin with alkaline cologne at equivalent point. Henderson hasselbach eq

[Betonoszlop]

Temperature can also affect bacteria growth rates

[biswarupmandal]

sir, can you tell me which book you are following? and which is the best book for "Chemotaxis".

[cityuuniversity]

Love this lectures !! Helped me out a ton!! would love to study at UCI one day!

[aventura]

What are the prerequisites for this course? University level calculus?

[karanhiwrale]

Actually it was so helpful, for biologycal students

[dmaninthewall]

(At 4:05) d*n/d*t what does the "d" and "n" mean here ?

[hassanamer]

Could u pls explain more about (alpha) which describe the food consumption by one bacterium.
how can i get the value of alpha?
is it coming from the biology test?

[gabriellabourboulia]

what is the A ? I understand that is a constant but what is describes? The same with the small k (kappa) what it describes? can anyone help me?

[wahyudiusman]

First, I appreciate videos like this because it would be very good for the development of applied mathematics. There is something I want to ask.
Is there a way to determine or find the point of equilibrium of a dynamic system with n-dimensions?
I just made a mathematical model of the immune response, where my model is a nonlinear system of differential equation And it dimension 9, I have trouble finding the equilibrium point either manually or by using mathematical applications such as maple or matlab

[qurratulainaslam]

Thanks for such well explained lecture. Kindly tell name of reference book?

[Ronin]

What does it mean that the number of bacteria is discreet? 2:31

[akshitsood]

Respected sir I'm from India and i have done my masters in Mathematics for further research studies i'm quite interested in particular this branch of mathematics. As both biology and mathematics are best combination for me. Because in grade 12 studies i have both subjects simultaneously (math+ additional biology). I wanted to know that is this branch of mathematics has any further scope in future and what will be the job opportunities after doing my research degree in this field.
This would be so helpful for me if you give me your little reply.

[the_unstopable]

sir i am a high school past out. i had taken admission in course of BSc biotechnology(honours). will you kindly suggest me the best book for this course to learn biomaths.

[giovag.]

What is the time constant? How I can calculate it from differential equations such as dx/dt = -0.5x + 12

[hamishmccreight]

THere is a bit more to it than this. This is just about rates of change and of course you use differential equations. There is also the other area of simulating how cells work by creating a mathematical model. Isn't maths great !!!!