It depends on the equipment you have as to what method you can use. Extraction of lipids can be completed using french press, bead beating, Bligh - Dyer method, Sonication, microwave, etc. The main chemicals that are typically used depends on what you have available for extraction equipment. Often Hexane and methanol or chloroform are used to extract a majority of the lipids if the biomass has been dried. Check out the paper http://www.sciencedirect.com/science/article/pii/S0167701213001826.
Thank you for the information on lipid extraction from algae. But I also want to know how can we extract total proteins from algal cells. So it would be very kind of you if you would provide with some articles on total protein extraction from algal cells.
My apologies, I misread the question. What is the goal of the protein extraction? are you wanting to use it for something or are you trying to quantify protein content?
I want to study the differential expression of total proteins in high lipid yielding algal mutants and wild type strains. Basically I want to do a proteomic study.
These two articles describe two ways of completing protein extraction. Both articles use liquid nitrogen for a quick freeze-thaw rupture of the cell walls followed by the addition of lysis buffer. However, Chlorella typically have tough cell walls and may not rupture from this process and is why the authors utilize sonication. Because sonication produces high amounts of energy it is important to keep the sample on ice to prevent protein degradation.
The article dealing with pheodactylum uses mortar and pestile as diatoms cell wall is very weak in comparison. However, I have seen this method used on green algae. http://link.springer.com/article/10.1007/s10811-013-0050-3/fulltext.html