TECHNOLOGY FOCUS - BIOLOGY - Preferred Method: The method further comprises: removing at least a portion of the first solvent set from the separated portion of the first liquid phase to obtain a first extraction product; removing at least a portion of the second solvent set from the separated portion of the second liquid phase to obtain a second extraction product; removing at least a portion of the third solvent set from the separated portion of the third liquid phase to obtain a third extraction product, where at least one of the first, second or third solvent sets comprises a water miscible or water immiscible solvent, two water miscible or two water immiscible solvents, or at least one water miscible solvent and at least one water immiscible solvent; and adjusting the pH of the first, second and third extraction mixtures to optimize protein extraction. The first, second and/or third extraction mixture is heated to a temperature below its boiling point. The extraction mixture is under a pressure greater than atmospheric pressure. The solvent set is added to the biomass in a 1:1 weight/weight ratio. The algal biomass is simultaneously at least partially dewatered while products are selectively extracted from the algal biomass. Preferred Components: The algal biomass is unfrozen. The first, second and third extraction substantially solid phases comprise substantially intact algal cells.    TECHNOLOGY FOCUS - ORGANIC CHEMISTRY - Preferred Components: The first, second or third solvent sets comprise at least one amphipathic solvent, which is methanol, ethanol (preferred), isopropanol, acetone, ethyl acetate or acetonitrile. EXAMPLE - 1000 thousand pounds of Nannochloropsis biomass was harvested and dewatered until algae comprised 35 wt.% and then finally frozen. The extraction was performed in a 400 gallon jacketed kettle with hinged lids. The lids were tied down with straps and sealed with silicone. The frozen algae material was emptied into the tank and an equal weight of ethanol was pumped in using a pneumatic drum pump. The material was stirred for 15 minutes and the jacket heated with steam to obtain the desired temperature at each extraction step. The desired temperature was within 3 degrees C of the boiling point of the mixture, but not boiling. Upon reaching the desired temperature, the system was stirred continuously held at the desired temperature for 60 minutes to ensure that the contents of the kettle were uniformly heated. The contents of the kettle were then pumped out of the extraction vessel and into a decanter centrifuge at 1 gallon/minute. The decanter centrifuge rotor speed was set to 6000 rpm. The solids were collected in an enclosed plastic drum and comprised of 50 wt.% solids to liquids. These solids were returned to the kettle, where the above mentioned extraction steps were repeated. The liquid stream from the decanter was collected into a feed tank and then fed to the membrane filtration system. The operating conditions were set to 60 degrees C plus minus 5 degrees C and with an average pressure gradient of 40 psi. The membrane system was backwashed every 15 minutes with compressed air to maintain the flux. The retentate was collected and recycled to the decanter. The permeate stream from the membrane system was evaporated using an in-house fabricated batch still. The operating conditions were maintained at 80 degrees C during the vacuum distillation. Then the ethanol in the permeate was evaporated, and the extraction steps were repeated three times, resulting in four product pools comprised of algal proteins, polar lipids, neutral lipids, and residual biomass containing potential coproducts (carotenoids).