Abstract:
Biodegradable porous polyurethanes scaffold have themselves opportunities in service, in-cluding controlled degradation rate, no-toxic degradation products. However, polyurethanes are lack of bioactive groups, which limits their application. This review gives the common modification methods, surface functionalization and blending modification. In finally, the review puts forward to the bulk modification as a new method to enhance the bioactivity of polyure-thanes.

Abstract:
In this paper, we apply the theory of cluster algebras to study minimal affinizations for the quantum affine algebra of type $F_4$. We show that the $q$-characters of a large family of minimal affinizations of type $F_4$ satisfy a system of equations. Moreover, a minimal affinization in this system corresponds to some cluster variable in some cluster algebra $\mathscr{A}$. For the other minimal affinizations of type $F_4$ which are not in this system, we give some conjectural equations which contains these minimal affinizations. Furthermore, we introduce the concept of dominant monomial graphs to study the equations satisfied by $q$-characters of modules of quantum affine algebras.

Abstract:
Snake modules are a family of modules of quantum affine algebras which were introduced by Mukhin and Young. The aim of this paper is to prove that the Hernandez--Leclerc conjecture is true for snake modules of types $A_{n}$ and $B_{n}$. We prove that prime snake modules are real. We introduce $S$-systems consisting of equations satisfied by the $q$-characters of prime snake modules in types $A_{n}$ and $B_{n}$. Moreover, we show that every equation in the $S$-system of type $A_n$ (respectively, $B_n$) corresponds to a mutation in some cluster algebra $\mathscr{A}$ (respectively, $\mathscr{A}'$) and every prime snake module of type $A_n$ (respectively, $B_n$) corresponds to some cluster variable in $\mathscr{A}$ (respectively, $\mathscr{A}'$). In particular, this proves that the Hernandez--Leclerc conjecture is true for all snake modules of types $A_{n}$ and $B_{n}$.

Abstract:
In this paper, we study the minimal affinizations over the quantum affine algebras of type $C_n$ by using the theory of cluster algebras. We show that the $q$-characters of a large family of minimal affinizations of type $C_n$ satisfy some systems of equations. These equations correspond to mutation equations of some cluster algebras. Furthermore, we show that the minimal affinizations in these equations correspond to cluster variables in these cluster algebras.

Abstract:
Nanoscale praseodymium-doped zircon yellowish pigment was prepared by a two-step new method using ZrOCl2 8H2O, Na2SiO3 9H2O and Pr6O11 as raw materials. Intermediate nanopowders were hydrothermally synthesized firstly, then these intermediate powders were calcined at high temperatures to produce nanoscale Pr-zircon yellowish pigment. The products were characterized by XRD, TEM, SEM, reflectance spectra and the CIE L*a*b* parameters. The pH of hydrothermal solution, the hydrothermal temperature and the heat treatment temperature are main factors that influenced the quality of pigment. Low pH is favorable for decreasing the calcination temperatures and producing the pigment with good dispersion and homogeneous sizes. The product with best pigment performance is obtained at the reaction conditions as follows, pH=3.5 of hydrothermal solution, hydrothermal temperature of 220 nd heat treatment temperature of 900

Abstract:
In this paper, we construct a complete set of primitive orthogonal idempotents for any finite Brandt semigroup algebra. As applications, we define a new class of codes called Brandt semigroup codes and compute the Cartan matrices of some Brandt semigroup algebras. We also study the supports, Hamming distances, and minimum weights of Brandt semigroup codes.

Abstract:
The aim of this paper is two-fold: (1) introduce four systems of equations called M-systems and dual M-systems of types $A_{n}$ and $B_{n}$ respectively; (2) make a connection between M-systems (dual M-systems) and cluster algebras and prove that the Hernandez-Leclerc conjecture is true for minimal affinizations of types $A_n$ and $B_n$.

Abstract:
According to the fact that different behaviors of nutrition at different medium layers would make obviously different effects on rate of algal growth in water system, we established a new numerical model of the algae growth by considering these effects from various nutrition concentrations in water environment,on the surface and inside of algae cell,and especially the effect of adsorption /desorption of nutrition on the surface of algal cell.The validation of the model parameters are carried out by numerical iterative calculation with experimental data of literature,and computation results show that the mean relative error between the actual measured values cited from literature and the numerical results of this model is less than 6.9%.Furthermore,the maximum absolute values of cumulative relative error of the model and the original model which doesn't consider effect on adsorption/desorption of nutrition are 11.7% and 34.18% respectively.Obviously,the model would fit well the actual measured data.The concentration of nutrition on the surface from the model computation shows the real change status of the algae absorb nutrition under alternate condition of light/dark,and at same time,the concentration varying of ATP inside algae cell would correlate to the concentration of nutrition in water environment and to the nutrition's condition of algae cell so that the cooperating relation between molecular layer and cell layer that has theory significance has been built.

Abstract:
Absorption rate coefficient of algae omega(i) to nutrients such as N and P could be used for describing algal increases/decreases velocity in water areas in theory. omega(i) raise might correspond to algal quickly growth and to ccelerate absorption of N and P while omega(i) decrease might correspond to algal decompose and release of N and P. According to locale measuring data along the Three-Gorges valley and algal dynamics model of nutritious absorption we have obtained some interest 3-dimension figures in which omega(i) will varies up and down obviously with N and P concentration in special bound to show a synergistic effects of N and P that might reveal an inner behavior of algal bloom/decompose. The research results explain in reason: (1) algal blooms do will happen in one special P/N range in a certain water system; (2) when omega(1) and omega(2) ascend rapidly and simultaneously in positive direction at same time algae would bloom, and when omega(1) and omega(2) descend sharply and simultaneously in negative direction at same time algae would decompose; (3) The velocity of algal bloom is not only same approximately as one of algal decompose, but also its variety has evidently periodic fluctuation. All of these could reveal effectively mechanism of nutritious absorption/release as algal bloom/decompose.