Quantitative multistage carcinogenesis models are used in radiobiology to estimate cancer risks and latency periods (time from exposure to clinical cancer). Steps such as initiation, promotion and transformation have been modeled in detail. However, progression, a later step during which malignant cells can develop into clinical symptomatic cancer, has often been approximated simply as a fixed lag time. This approach discounts important stochastic mechanisms in progression and evidence on the high prevalence of dormant tumors. Modeling progression more accurately is therefore important for risk assessment. Unlike models of earlier steps, progression models can readily utilize not only experimental and epidemiological data but also clinical ...
In this chapter, we will use multitype branching processes with mutation to model cancer. With cance...
We postulate the two checkpoints theory of cancer, a model of cancer development suggesting that mal...
A mathematical model of the progression kinetics of lung cancer was described and used to shed light...
Mathematical models of radiation carcinogenesis are important for understanding mechanisms and for i...
A construction of a realistic statistical model of lung cancer risk and progression is proposed. The...
A multistage cancer model that describes the putative rate-limiting steps in carcinogenesis is devel...
A stochastic two-stage cancer model with clonal expansion was used to investigate the potential impa...
Abstract Mathematical models of radiation carcinogene-sis are important for understanding mechanisms...
Abstract Although the survival rate of cancer patients has significantly in-creased due to advances ...
BACKGROUND: Personalized medicine for patients receiving radiation therapy remains an elusive goal d...
As the number of cancer survivors grows, prediction of radiotherapy-induced second cancer risks beco...
International audienceBACKGROUND: Radiotherapy outcomes are usually predicted using the Linear Quadr...
University of Minnesota Ph.D. dissertation June 2018. Major: Mathematics. Advisor: Jasmine Foo. 1 co...
A stochastic two-stage cancer model with clonal expansion was used to investigate the potential impa...
Tumorigenesis has been described as a multistep process, where each step is associated with a geneti...
In this chapter, we will use multitype branching processes with mutation to model cancer. With cance...
We postulate the two checkpoints theory of cancer, a model of cancer development suggesting that mal...
A mathematical model of the progression kinetics of lung cancer was described and used to shed light...
Mathematical models of radiation carcinogenesis are important for understanding mechanisms and for i...
A construction of a realistic statistical model of lung cancer risk and progression is proposed. The...
A multistage cancer model that describes the putative rate-limiting steps in carcinogenesis is devel...
A stochastic two-stage cancer model with clonal expansion was used to investigate the potential impa...
Abstract Mathematical models of radiation carcinogene-sis are important for understanding mechanisms...
Abstract Although the survival rate of cancer patients has significantly in-creased due to advances ...
BACKGROUND: Personalized medicine for patients receiving radiation therapy remains an elusive goal d...
As the number of cancer survivors grows, prediction of radiotherapy-induced second cancer risks beco...
International audienceBACKGROUND: Radiotherapy outcomes are usually predicted using the Linear Quadr...
University of Minnesota Ph.D. dissertation June 2018. Major: Mathematics. Advisor: Jasmine Foo. 1 co...
A stochastic two-stage cancer model with clonal expansion was used to investigate the potential impa...
Tumorigenesis has been described as a multistep process, where each step is associated with a geneti...
In this chapter, we will use multitype branching processes with mutation to model cancer. With cance...
We postulate the two checkpoints theory of cancer, a model of cancer development suggesting that mal...
A mathematical model of the progression kinetics of lung cancer was described and used to shed light...