On the exact hazard and survival functions of the MVK stochastic carcinogenesis model. Academic Article

abstract

• The MVK two-stage carcinogenesis model is one of the most widely accepted mechanistic models in carcinogenesis modeling. However, due to a perceived difficulty in obtaining analytic solutions for the hazard and survival functions, approximations and numerical methods have been used to calculate these two fundamental quantities. This paper focuses on a special case of the homogeneous MVK model where the number of normal cells is constant. The probability generating function (pgf) for the number of tumor cells is derived, and the exact analytic solutions to the hazard and survival functions are obtained from the pgf.

authors

• Zheng, Qi

published proceedings

• Risk Anal

author list (cited authors)

• Zheng, Q.

citation count

• 37

complete list of authors

• Zheng, Q

publication date

• December 1994

publisher

• Wiley  Publisher

published in

• Risk Analysis: an international journal  Journal

keywords

• Animals
• Cell Survival
• Cell Transformation, Neoplastic
• Humans
• Models, Biological
• Models, Statistical
• Neoplasms
• Proportional Hazards Models
• Risk Assessment
• Stochastic Processes

PubMed Central ID

• 7846316

Digital Object Identifier (DOI)

• 10.1111/j.1539-6924.1994.tb00079.x

start page

• 1081

end page

• 1084

volume

• 14

issue

• 6

URL

• http://dx.doi.org/10.1111/j.1539-6924.1994.tb00079.x