Fractional Statistical Theory Of Adsorption Theory Model For Thermal Hysteresis Activity Of Antifreeze Proteins

Antifreeze Proteins (Antifreeze Proteins, AFPs) is a kind of specific proteins which can inhibit the growth of ice crystals. It is recognized that AFPs can lower the freezing temperature of solution and the melting point of solution almost without changing. It is a non-colligative effect. The difference between melting and freezing temperature of the AFPs solution is called ’thermal hysteresis’(Thermal Hysteresis, TH).Adsorption of large molecules blocking more than one absorption center on a lattice is described as a fractional statistic theory of adsorption (fractional statistical theory of adsorption, FSTA) problem, based on Haldane’s statistics. Excluded surface is characterized by a statistical exclusion parameter g, which relates to the molecular size and lattice geometry.In this letter we introduce the basis of FSTA and application for the first time it shows that the thermal hysteresis activity of insect antifreeze proteins. We research the concentration of solution of antifreeze proteins with the thermal hysteresis activity of the theory of relationship, the theoretical results are in agreement with the experimental data. The interactions between the antifreeze proteins and ice crystals which can be strongly influenced by two factors:on the one hand, antifreeze protein molecules and ice crystals in combination with the influence of the numbers of effective adsorption; on the other hand, due to the large size and different shapes of these adsorbing particles binding energy of influence. Because it have the special antifreeze activity of antifreeze proteins which has broad application prospects in many aspects.Therefore, the application of fractional statistical theory of adsorption model to study the thermal hysteresis activity of antifreeze proteins and its interaction with ice crystals will make a contribution to understanding the antifreezing mechanisms of antifreeze proteins, the theoretical research and practical application of antifreeze proteins have great significance to biology and physics.