Mathematical analysis of cake layer formation in an ultrafiltration membrane of a phycobiliprotein-containing solution extracted from Nostoc commune

Phycobiliproteins have been used as a natural dye, an analytical probe for fluorescence studies, and chemical medicinal use. An ultrafiltration membrane is useful the purification of phycobiliproteins. This study addressed phycobiliprotein-containing solution, extracted from Nostoc commune , which was individually performed by two kinds (MWCO 150 kDa 10 kDa) in cross-flow. Three proteins were mainly included extractant analyzed gel permeation chromatography. Molecular weight 60 kDa, 20 200 Da. The formation cake layer mathematically solving ordinary differential equation to fit experimental data obtain 5 parameters needed mechanistically predict cake-formation. obtained packed coefficient ( K 4 ) protein demonstrated that solution filtered 150-kDa membrane, while 10-kDa resulted clogging pores. Transport each through kDa- kDa-ultrafiltration showed 0.40 0.94 phycobiliprotein, respectively, demonstrating had ability separation proteins. sensitive performance having potential scale-up modules. • are separated membrane. Cake on mathematical model. layer, pore.