We present a statistical distribution of a nanorobot motion inside the blood.This distribution is like the distribution of A and B particles in continuous time random walk scheme inside the fAuid reactive anomalous tr...We present a statistical distribution of a nanorobot motion inside the blood.This distribution is like the distribution of A and B particles in continuous time random walk scheme inside the fAuid reactive anomalous transport with stochastic waiting time depending on the Gaussian distribution and a Gaussian jump length which is detailed in Zhang and Li[J.Stat.Phys,Published Online with doi:10.1007/s10955-018-2185-8,2018].Rather than estimating the length parameter of the jumping distance of the nanorobot,we normalize the Probability Density Function(PDF)and present some reliability properties for this distribution.In addition,we discuss the truncated version of this distribution and its statistical properties,and estimate its length parameter.We use the estimated distance to study the conditions that give a finite expected value of the first meeting time between this nanorobot in the case of nonlinear flow with independent d-dimensional Gaussian jumps and an independent d-dimensional CD4 T Brownian cell in the blood(d-space)to prevent the HIV virus from proliferating within this cell.展开更多
基金The authors gratefully acknowledge the Deanship of Scientific Research,Taibah University for the support of this research work,research Group No.60337.
文摘We present a statistical distribution of a nanorobot motion inside the blood.This distribution is like the distribution of A and B particles in continuous time random walk scheme inside the fAuid reactive anomalous transport with stochastic waiting time depending on the Gaussian distribution and a Gaussian jump length which is detailed in Zhang and Li[J.Stat.Phys,Published Online with doi:10.1007/s10955-018-2185-8,2018].Rather than estimating the length parameter of the jumping distance of the nanorobot,we normalize the Probability Density Function(PDF)and present some reliability properties for this distribution.In addition,we discuss the truncated version of this distribution and its statistical properties,and estimate its length parameter.We use the estimated distance to study the conditions that give a finite expected value of the first meeting time between this nanorobot in the case of nonlinear flow with independent d-dimensional Gaussian jumps and an independent d-dimensional CD4 T Brownian cell in the blood(d-space)to prevent the HIV virus from proliferating within this cell.
