Search results

1. Bacterial death in a growing population

Thanks for your suggestions. It seems that I will be allowed to take microbiology courses in my PhD so I might actually get my facts straight this way, but until then I'll look into these books.
2. Bacterial death in a growing population

Excellent. Since I'm going to continue working on this model for a while I would like to figure how just how bad my assumptions are. In the final report I'd like to include criticism of the model assumptions. I have searched the internet, but I think my lack of knowledge makes it hard to find...
3. Bacterial death in a growing population

What I see is that I definitely need to know more about bacteria and bacterial growth in general. The things you mention should definitely be part of my model. I've no idea how to implement it though. If I understand this correctly, once a population has reached it's maximum size as allowed by...
4. Bacterial death in a growing population

Hi, I'm writing to you as a graduate applied math student who has taken a recent interest in biology and the modeling of all kinds of microbiological systems, something I plan on continuing with in my PhD. As such, I'm modeling biology without knowing as much about it as I should :P My...
5. Conics: The Ellipse - Practice

The clue in both the exercises is to recognize the form of an ellipse with its centre in the origin: \frac{x^2}{a^2} + \frac{y^2}{b^2} = 1 As mentioned a and b are the lengths of the axes. In the second exercise the centre is not in origo but (x=0,y=-1).
6. From cartesian to cylindrical

Yes that's the chain rule doing its magic I guess :D
7. From cartesian to cylindrical

Thank you both very much! I was thinking in the wrong paths entirely. To explain: What I figured, not being well versed in this kind of manipulation, was this: \frac{\partial V}{\partial \phi}\frac{\partial \phi}{\partial x} = \frac{\partial V}{\partial x}\frac{\partial \phi}{\partial...
8. From cartesian to cylindrical

There, I fixed it :)
9. From cartesian to cylindrical

I find this passage \frac{\partial}{\partial x} = \cos(\phi)\frac{\partial}{\partial \rho } - \frac{\sin(\phi)}{\rho}\frac{\partial}{\partial \phi} difficult to understand. My teacher wrote this as an explanation: \frac{\partial V}{\partial x} = \frac{\partial\rho}{\partial...