Accession Number:

AD0656484

Title:

CONTROLLING A LETHAL GROWTH PROCESS,

Descriptive Note:

Corporate Author:

PURDUE UNIV LAFAYETTE IND DEPT OF STATISTICS

Personal Author(s):

• Neuts,Marcel F.

Report Date:

1967-06-01

Pagination or Media Count:

25.0

Abstract:

A host carries a lethal growth of size N at time t o. The growth increases according to a Yule-Furry process and the mortality rate of the host due to the growth is assumed to be proportional to the number of particles in the growth. Periodically the host is given treatment which removes particles from the growth according to a Bernoulli sampling scheme with probability p. The treatment itself has a certain lethality, which we assume to be an increasing function of p. Moreover the mortality rate of the host increases by a term which is proportional to the number of treatments already received and depends on their intensity p. The problem of choosing the spacing and intensity of the treatments, so as to maximize the probability of survival of the host is an interval of time, or the expected survival time, is discussed. Author

Descriptors:

• *BIOMETRY
• *GROWTH(PHYSIOLOGY)
• *LIFE EXPECTANCY(SERVICE LIFE)
• GROWTH(PHYSIOLOGY)
• MATHEMATICAL MODELS
• OPTIMIZATION
• CONTROL
• PARTICLES
• RADIOTHERAPY
• CHEMOTHERAPY
• SCHEDULING
• PROBABILITY
• STATISTICAL ANALYSIS

Subject Categories:

• Anatomy and Physiology
• Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE