Basically I see citizen scientists as persons who want to do science as a hobby. That means researching and experimenting on your own. For instance I know of people launching their own radiosonde balloons to do weather research on their own.
As to your question, I did a GOOGLE and got a WIKI article on your topic.
I am wondering if any of the references at the bottom of the article would be of important reading.
Since this field appears to be new, I have not seen a cookbook for your interest yet. Therefore, you would have to rely on someone who has actually worked in this area and I am not sure anyone in this chemist forum is doing biological work on Botryococcus_braunii. I am interested too, but have too many other things I am researching now. I am actually going to do fermentation first then see what I can do in bio-diesel.
On the other hand based on my knowledge from a bacteriology course taken years ago I can make some general statements.
Algae usually need lots of flat surface area to do photosynthesis.
One would have to know if the Algae of interest like high oxygen to grow better.
for instance yeast like oxygen in the beginning and later it is better to have low oxygen for fermentation. Do you know what Botryococcus_braunii from your research or experimentation.
We had some threads on this forum involving bio-diesel with some links, but they got deleted by mistake.
If I were in your place I would get a 1 meter square tub and do some experimenting changing parameters like temperature and lighting.
Alternatively, I would search the bio-diesel sites and see if they have a sidebar on
Botryococcus_braunii