"Advances in Mathematics Research" presents original studies on the leading edge of mathematics. Each article has been carefully selected in an attempt to present substantial research results across a broad spectrum. Topics discussed include modern works in the field of mathematical modeling of intracellular processes; the improvement of Bezier basis function efficiency in object surface modeling; performance evaluation of simultaneous coding of scatter matrices in Two-Dimensional Linear Discriminant Analysis; the differential inequalities that make it possible to build a global theory of pseudoholomorphic functions in the case of one or several complex variables; and recent advances on short interest rate models which can be formulated in terms of a stochastic differential equation for the instantaneous interest rate (also called short rate) or a system of such equations in case the short rate is assumed to depend on other stochastic factors.