Introduction Matrix metalloproteinases (MMPs) represent a family of zinc dependent endopeptidases which is involved in the breakdown of components of the extracellular matrix and helps in tissue remodeling [1]. The process is vital in embryonic development, pregnancy, growth and wound healing. Usually the activity of MMPs is restricted by the equilibrium between synthesis of active MMPs and the...

For the simulation of complex equilibrium-stage operations, the overall computing time is often dominated by the solution of large, sparse systems of linear equations. If the modeling equations for such separation systems are grouped by equilibrium stage, the linear systems take on an almost banded form with relatively few o -band elements. We present here a simple multifrontal approach for sol...

ABSTRACT In this paper the entropy function of the matrix game has been considered as one of the objectives and formulate a new game model, named Entropy Matrix Goal Game Model. Non-linear programming model for each player has been established. The equilibrium condition on matrix game is based on expected pay-off, so this equilibrium condition might be violated by mixed strategies when replicat...

We show that, by using multiplicative weights in a game-theoretic thought experiment (and an important convexity result on the composition of multiplicative weights with the relative entropy function), a symmetric bimatrix game (that is, a bimatrix matrix wherein the payoff matrix of each player is the transpose of the payoff matrix of the other) either has an interior symmetric equilibrium or ...

Motivated both by digital filter design and polynomial-based matrix iteration methods, we study Green’s function for the complement of a union of disjoint closed intervals. The key tool is the Schwarz–Christoffel map. Asymptotic analysis produces simple and useful leading terms for Green’s function and the associated equilibrium distribution. Our results are applied to optimal lowpass filters a...

by minimizing the total potential energy function and deploying the virtual work principle, a higher-order stiffness matrix is achieved. this new tangent stiffness matrix is used to solve the frame with geometric nonlinear behavior. since authors’ formulation takes into account the higher-order terms of the strain vector, the convergence speed of the solution process will increase. in fact, bot...

The transmission dynamics of a pertussis-pneumonia co-infection model is analyzed. takes into account temporary immunity infected infants and includes maternally derived compartment. basic reproduction number the co-infected obtained using next generation matrix, stability analysis carried out. exhibits four equilibria, namely, pertussis-free equilibrium, pneumonia-free co-infection-free equili...