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One of the main characteristics of blood coagulation is the speed of clot growth. In the current work we consider a mathematical model of the coagulation cascade and study existence, stability and speed of propagation of the reaction-diffusion waves of blood coagulation. We also develop a simplified one-equation model that reflects the main features of the thrombin wave propagation. For this equation...
The cell wall of Gram-negative bacteria plays a crucial role in the bacteria resistance to certain antimicrobials and its adaptation to the host environment. The first line of cell defense is its outer membrane composed of glycerophos-pholipids in the inner monolayer, lipopolysaccharides (LPS) in the outer monolayer and integral proteins. To understand the details of the outer membrane structure we...
We study optimal radiotherapy fractionations for low-grade glioma using mathematical models. Both space-independent and space-dependent models are studied. Two different optimization criteria have been developed, the first one accounting for the global effect of the tumor mass on the disease symptoms and the second one related to the delay of the malignant transformation of the tumor.The models are...
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