Mathematical Biology. 02: Bacterial Growth

UCI Math 113B: Intro to Mathematical Modeling in Biology (Fall 2014)
Lec 02. Intro to Mathematical Modeling in Biology: Bacterial Growth
View the complete course: ocw.uci.edu/courses/math_113b_...
Instructor: German A. Enciso, Ph.D.
Textbook: Mathematical Models in Biology by Leah Edelstein-Keshet, SIAM, 2005
License: Creative Commons CC-BY-SA
Terms of Use: ocw.uci.edu/info
More courses at ocw.uci.edu
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 8, 2014
Required attribution: Enciso, German A. Math 113B (UCI OpenCourseWare: University of California, Irvine), ocw.uci.edu/courses/math_113b_.... [Access date]. License: Creative Commons Attribution-ShareAlike 3.0 United States License. (creativecommons.org/licenses/b...)

[@VijayendranRaghavendran]

Time 5:24: It is not yeast which divides every 20 minutes. Probably you meant E.coli. The fastest growing yeast (it is an eukaryote with a higher genome size) is Kluyveromyces marxianus with a doubling time of 50 minutes. See Bionumbers database compiled by Ron Milo and others for more numbers in biology.

[@davidsweeney111]

Very well explained, my favourite subject, I cant wait for the next lectures! thank you!!

[@Blatgotyahatty]

Sup buddy, been 8 years. How’s it going?

[@GurpreetKaur-eh6si]

Very well explained. Thank you so much

[@hassanamer6875]

can you please give the name of any book related to this topic ? because i am focusing to calculate the consumption food by bacteria.

[@naturematters08]

Mathematical Models in Biology by Leah Edelstein-Keshet

[@mirmasoom]

In the model assuming K=kC If we start with No=B why shall the population not grow( why shall Co be zero then)? If it is true for whatever reason, what does it mean biologically?

[@saeedanwar5262]

Very helpfull lectures .actually we are new in this subject.If you have any specified book for this subject then it will be more helpfull.plzz

[@naturematters08]

Mathematical Models in Biology by Leah Edelstein-Keshet

[@qaisarbadshah3909]

please mention the book for the beginner in this field..

[@naturematters08]

here is the book for the course Mathematical Models in Biology by Leah Edelstein-Keshet

[@daylight5225]

If we interpret N and C as amounts not concentrations? should we divide the flow by the volume or let it as it is?

[@mirmasoom]

We should divide it by V as division by V cancels out the volume(V) dimension added by multiplication with F(dimensions=V/t).

[@vanessaruan5864]

At about 11min, shouldn't integration of c'=-aN' be c=-aN+c0t as both sides are integrated by dt?

[@sofiiakochish]

dC/dt = - a dN/dt Multiply both sides by dt: dC = - a dN Integrate: ∫ dC = - a ∫ dN C1 and C2 being constants, left after integration: C + C1 = - a N + C2 We can now make 1 constant out of those two. This will be C0. C = - a N + C0 Hope this helps, though it’s already been a while.

[@elaphmadallahsh7811]

Please, can the translation into Arabic be enabled? Thank you 🌷

[@lucasantagata4551]

Which book is the professor using?

[@naturematters08]

this one Mathematical Models in Biology by Leah Edelstein-Keshet

[@hassan010012]

What is written on White board is not clear.

[@naturematters08]

lol

[@user-rb7nz5on5n]

I'm looking for some input. The symbol that you're using for elfa does not exist in biomethemetics with all the research I've done the symbol that is supposed to be is ancient Greek dialect, the capital letter a in lower case, a written in ancient Tex I don't understand where you're getting alpha with that symbol. Because it doesn't exist. Any input in you can give would be appreciated.

[@saeedanwar5262]

Very helpfull lectures .actually we are new in this subject.If you have any specified book for this subject then it will be more helpfull.plzz

[@naturematters08]

Mathematical Models in Biology by Leah Edelstein-Keshet