Friday, December 24, 2010

Day 64-65

I went to bed last night at about 10.30. This is quite usual since the coming of Dan Jr. I don't tend to stay up late much at all for work or any other reason. Anyway, I sat in bed for about 30mins before realising I wasn't going to sleep. Ideas and mathsy stuff was running through my head - so I got up and started doing some work. I did a fair bit of work on the stability analysis (of steady states) for my 3 PDE model of Chlamydia infection model.

I decided that the work I did a few days ago was for an overly complicated model - I didn't see the point of having both an exponential death term (remnant from a previous version of the model) and a logistic growth term...so I've dumped the death in favour of the logistic growth. This also (of course) has the effect of somewhat simplifying the analysis/algebra for the stability work.

A little 3am mad scientist action.
One of the great things about this place we live is the glass doors that I can use to write on...basically big enough to work like a blackboard. This is great for doing algebra and messy stuff that you want to scribble out and over the top of - like stability analysis and nondimensionalisation etc. It looks difficult to read, but it's actually ok once you focus. Particularly at night it is good to work with too.

So anyway, I worked on this until about 4am this morning which is basically unheard of for me these days. I really only went to bed then because I had hit the end of the algebraic work and I thought to bust out some matlab to start doing simulations and numerical work at this stage of the night was getting kind of ridiculous.  I really should have kept going though - I felt fine waking at 7.30 this morning, so I'm sure I'd have survived.

Anyway, more tonight - I think I can finish off the draft of this in the next couple of days or so.

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