摘要:

A cell subjected to radiation damage could survive if the radiation induced lesions are repaired correctly or survive as a mutant if repaired incorrectly or die which is reflected by its inability to divide. In this paper we develop a stochastic model to analyse the effects of radiation on living cells incorporating the rates of lesion induction, damaged DNA replication and rates of repair, misrepair and death. The cell survival probability is explicitly obtained and is shown to be a concave function of the dose so that the obtained cell survival probability exhibits a “shoulder”. Also the number distribution of the potential lethal lesions which forms the core of cell studies is obtained. A brief comparison with other existing models has also been made. In particular, well known models of Neyman and Puri (1981) and Yang and Swenberg (1991) are obtained from our model and our results are in agreement with theirs. A linear-quadratic approximations for the cell survival probability as a function of dose is made. The model is shown to give sufficiently good fit for the survival data of EAT and CHO cells irradiated with different doses ofUV-radiation andx-rays (Iliakis and Nusse (1982), Metting et. al. (1985))

ISSN:0736-2994    

DOI:10.1080/07362999808809522

出版商:Marcel Dekker, Inc.    

年代:1998

数据来源: Taylor

摘要:

In the present paper we study a special kind of stochastic processes. The usefulness of the result is illustrated by their applications to the straightforward convergence analysis of several schemes. We consider a filtrated probability spaceand an adapted stochastic processfromFurther letbe a stochastic matrix which is adapted to the filtration. The processsatisfies the following conditionA special case of these processes is a classical submartingale

ISSN:0736-2994    

DOI:10.1080/07362999808809523

出版商:Marcel Dekker, Inc.    

年代:1998

数据来源: Taylor

摘要:

The concept of filtered counting process is used to model several stochastic problems in manufacturing systems. Through a judicious selection of an appropriate response function, several system characteristics are evaluated under distribution-free condition. Applications include a machine shop problem, a machine sequencing problem, a flexible manufacturing problem, a job sequencing problem, a maintenance problem and an inventory problem. The methodology provides a unique, original and simple way to solve a large array of problems

ISSN:0736-2994    

DOI:10.1080/07362999808809524

出版商:Marcel Dekker, Inc.    

年代:1998

数据来源: Taylor

摘要:

This paper deals with the nonparametric estimation of the diffusion coefficient of a diffusion process in the case when it depends only on time. the estimator is based on the regularization of the quadratic mean through multiscale analysis. We then define estimators of the second derivative of the diffusion coefficient, in order to obtain optimal bandwith and to perform a test of linearity. The results we obtain are quite similar to those of the estimation of the density function of an i.i.d. sequence

ISSN:0736-2994    

DOI:10.1080/07362999808809525

出版商:Marcel Dekker, Inc.    

年代:1998

数据来源: Taylor

ISSN:0736-2994    

DOI:10.1080/07362999808809511

出版商:Marcel Dekker, Inc.    

年代:1998

数据来源: Taylor