© 2004 COPYRIGHT SPIE--The International Society for Optical Engineering.This paper explores fluctuations and noise in various facets of cancer development. The three areas of particular focus are the stochastic progression of cells to cancer, fluctuations of the tumor size during treatment, and noise in cancer cell signalling. We explore the stochastic dynamics of tumor growth and response to treatment using a Markov model, and fluctutions in tumor size in response to treatment using partial differential equations. We also explore noise within gene networks in cancer cells, and noise in inter-cell signalling.Matthew J. Berryman, Sabrina L. Spencer, Andrew G. Allison and Derek Abbot
In this paper, the stationary probability distribution (SPD) function and the mean first passage tim...
Quantitative analyses of the dynamics of single cells have become a powerful approach in current cel...
Tumor cell populations are highly heterogeneous. Such heterogeneity, both at genotypic and phenotypi...
This paper explores fluctuations and noise in various facets of cancer development. The three areas ...
Dynamical systems modeling tumor growth have been investigated to analyze the dynamics between tumor...
Due to the rate increase in cancer incidence, many researchers in different fields have been conduct...
In the framework of the Michaelis-Menten (MM) reaction kinetics, we analyze the cancer growth dynami...
We investigate a mathematical model describing the growth of tumor in the presence of immune respons...
Dynamical systems modeling tumor growth have been investigated to analyze the dynamics between tumor...
We investigate a mathematical model describing the growth of tumor in the presence of immune respons...
Tumor cell populations are highly heterogeneous. Such heterogeneity, both at genotypic and phenotypi...
Abstract Gene networks arise due to the interaction of genes through their protein products. Modelin...
Thesis (Ph.D.)--University of Washington, 2018With the development of experimental apparatus and dat...
University of Minnesota Ph.D. dissertation June 2018. Major: Mathematics. Advisor: Jasmine Foo. 1 co...
Quantitative analyses of the dynamics of single cells have become a powerful approach in current cel...
In this paper, the stationary probability distribution (SPD) function and the mean first passage tim...
Quantitative analyses of the dynamics of single cells have become a powerful approach in current cel...
Tumor cell populations are highly heterogeneous. Such heterogeneity, both at genotypic and phenotypi...
This paper explores fluctuations and noise in various facets of cancer development. The three areas ...
Dynamical systems modeling tumor growth have been investigated to analyze the dynamics between tumor...
Due to the rate increase in cancer incidence, many researchers in different fields have been conduct...
In the framework of the Michaelis-Menten (MM) reaction kinetics, we analyze the cancer growth dynami...
We investigate a mathematical model describing the growth of tumor in the presence of immune respons...
Dynamical systems modeling tumor growth have been investigated to analyze the dynamics between tumor...
We investigate a mathematical model describing the growth of tumor in the presence of immune respons...
Tumor cell populations are highly heterogeneous. Such heterogeneity, both at genotypic and phenotypi...
Abstract Gene networks arise due to the interaction of genes through their protein products. Modelin...
Thesis (Ph.D.)--University of Washington, 2018With the development of experimental apparatus and dat...
University of Minnesota Ph.D. dissertation June 2018. Major: Mathematics. Advisor: Jasmine Foo. 1 co...
Quantitative analyses of the dynamics of single cells have become a powerful approach in current cel...
In this paper, the stationary probability distribution (SPD) function and the mean first passage tim...
Quantitative analyses of the dynamics of single cells have become a powerful approach in current cel...
Tumor cell populations are highly heterogeneous. Such heterogeneity, both at genotypic and phenotypi...