TECHNOLOGY FOCUS - ORGANIC CHEMISTRY - Preferred Components: The animal or oil is a rendered product selected from beef fats, tallow, poultry fats, pock fats and milk fats. The non-polar solvent is selected from hexane, octane and methylene chloride (preferably hexane). The cross-linking material is 1,5-pentanediol. The polar solvent is water or glycerin. Preferred Method: In the method (M1), the step of separating the unsaponifiable portion is accomplished by centrifuge (20), decanting or filtration. In the method (M2), the step (3) is accomplished by centrifuging, decanting or filtering the precipitated protein from the animal fat or oil stock.    TECHNOLOGY FOCUS - POLYMERS - The first polymer material is selected from polyacrylamide, polyamines, diallyldimethylammonium chloride and/or alum. The first and second polymer materials are added at concentrations of 0.01-10000 (preferably 0.01-100) parts per million (ppm) and 0.001-10000 (preferably 0.001-2) ppm in water with respect to the contents of the reaction vessel respectively. The first polymer possesses high charge density and is cationic water-soluble polymer; and the second polymer material possesses high charge density and is an anionic water-soluble polymer. EXAMPLE - Rendered animal fat (100 g) was placed in reaction vessel and heat exchanger was applied to maintain the contents at 90-100degreesF. In treatment A, solution (2.5 parts per million (ppm)) of NS-13881 (RTM: polymer solution) (2.5 g) in water was added to the vessel and thoroughly mixed for 5 seconds to coagulate the unsaponifiable material. After that, water solution (0.007 ppm) of NS-6750 (RTM: polymer solution) (2.5 g) was then mixed thoroughly for 5 seconds with the vessel to flocculate the unsaponifiable matter. Then, n-hexane (25 g) was added and mixed for 15 seconds and then water (25 g) was mixed for 30 seconds. The water portion containing the protein mix was permitted to separate in the vessel. The unsaponifiable matter was removed by centrifuge, by settling or decanting, or by mechanical filtration to provide the refined triglyceride biodiesel feedstock.