Mathematical Modeling and Computer Simulation in Blood Coagulation

Mathematical modeling and computer simulation in blood coagulation.

Over the last two decades, mathematical modeling has become a popular tool in study of blood coagulation. The in silico methods were able to yield interesting and significant results in the understanding of both individual reaction mechanisms and regulation of large sections of the coagulation cascade. The objective of this paper is to review the development of theoretical research in hemostasi...

Mathematical Modeling of Intravascular Blood Coagulation under Wall Shear Stress

Increased shear stress such as observed at local stenosis may cause drastic changes in the permeability of the vessel wall to procoagulants and thus initiate intravascular blood coagulation. In this paper we suggest a mathematical model to investigate how shear stress-induced permeability influences the thrombogenic potential of atherosclerotic plaques. Numerical analysis of the model reveals t...

Modeling and Simulation of the Blood Coagulation Cascade

In the last years, the use of Graphical Processing Units (GPUs) has witnessed ever growing applications for different computational analyses in the field of Life Sciences. In this work we present a CUDA-powered computational tool for the simulation of biological models defined as systems of mixed ordinary differential equations, based on both mass-action kinetics and Hill functions. The tool, n...

The Mathematical Modeling and Computer Simulation of Pulse Electrochemical Micromachining

need for complex and accurate three dimensional (3-D) microcomponents is increasing rapidly for many industrial and consumer products. Electrochemical machining process (ECM) has the potential of generating desired crack-free and stress-free surfaces of microcomponents. This paper reports a study of pulse electrochemical micromachining (PECMM) using ultrashort (nanoseconds) pulses for generatin...

Mathematical and biological models of blood coagulation.