Scaling Limit of a Discrete Prion Dynamics Model

THE SCALING LAW FOR THE DISCRETE KINETIC GROWTH PERCOLATION MODEL

The Scaling Law for the Discrete Kinetic Growth Percolation Model The critical exponent of the total number of finite clusters α is calculated directly without using scaling hypothesis both below and above the percolation threshold pc based on a kinetic growth percolation model in two and three dimensions. Simultaneously, we can calculate other critical exponents β and γ, and show that the scal...

Dynamics of a discrete-time plant-herbivore model

Introducing critical residues in the human prion protein and its Asp 178 Asn mutant by molecular dynamics simulation

The molecular dynamics (MD) simulation method is used to assess structural details for humanprion protein (hereafter PrPN) and its Asp178 Asn mutant (hereafter PrPm) which causes fatalfamilial insomnia disease. The results reveal that the flexibility and instability increase in PrPmcould be related to specific amino acids exposed to the solvent. Solvation free energy of PrPm is 20kjmot1nni2 mor...

Scaling, Modeling and Traffic Control of a Real Railway Network using Max-plus Algebra and Model Predictive Control

Delay time recovery can increase the efficiency of the railway network and increase the attractiveness of railway transport against other transportation systems. This article presents a new dynamical model of railway system. The proposed model is a discrete event systems that is defined based on the deviation of travel time and deviation of stop time of trains. Due to the existence of multiple ...

A Numerical Study of KPZ Equation Based on Changing its Parameters

In this article we investigate the behaviour of the scaling exponentsof KPZ equation through changing three parameters of the equation. Inother words we would like to know how the growth exponent β and theroughness exponent α will change if the surface tension ν , the averagevelocity λ and the noise strength γchange. Using the discrete form of theequation , first we come to the results α = 0.5 ...