Solutions for the Cell Cycle in Cell Lines Derived from Human Tumors
The goal of the paper is to compute efficiently solutions for model equations that have the potential to describe the growth of human tumor cells and their responses to radiotherapy or chemotherapy. The mathematical model involves four unknown functions of two independent variables: the time variabl...
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Hindawi Limited
2006-01-01
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| Series: | Computational and Mathematical Methods in Medicine |
| Online Access: | http://dx.doi.org/10.1080/10273660601017254 |
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doaj-044fa4529355403a8cd1ae60fda91e172020-11-24T22:18:50ZengHindawi LimitedComputational and Mathematical Methods in Medicine1748-670X1748-67182006-01-017421522810.1080/10273660601017254Solutions for the Cell Cycle in Cell Lines Derived from Human TumorsB. Zubik-Kowal0Department of Mathematics, Boise State University, 1910 Boise University Drive, Boise, Idaho 83725, USAThe goal of the paper is to compute efficiently solutions for model equations that have the potential to describe the growth of human tumor cells and their responses to radiotherapy or chemotherapy. The mathematical model involves four unknown functions of two independent variables: the time variable t and dimensionless relative DNA content x. The unknown functions can be thought of as the number density of cells and are solutions of a system of four partial differential equations. We construct solutions of the system, which allow us to observe the number density of cells for different t and x values. We present results of our experiments which simulate population kinetics of human cancer cells in vitro. Our results show a correspondence between predicted and experimental data.http://dx.doi.org/10.1080/10273660601017254 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
B. Zubik-Kowal |
| spellingShingle |
B. Zubik-Kowal Solutions for the Cell Cycle in Cell Lines Derived from Human Tumors Computational and Mathematical Methods in Medicine |
| author_facet |
B. Zubik-Kowal |
| author_sort |
B. Zubik-Kowal |
| title |
Solutions for the Cell Cycle in Cell Lines Derived from Human Tumors |
| title_short |
Solutions for the Cell Cycle in Cell Lines Derived from Human Tumors |
| title_full |
Solutions for the Cell Cycle in Cell Lines Derived from Human Tumors |
| title_fullStr |
Solutions for the Cell Cycle in Cell Lines Derived from Human Tumors |
| title_full_unstemmed |
Solutions for the Cell Cycle in Cell Lines Derived from Human Tumors |
| title_sort |
solutions for the cell cycle in cell lines derived from human tumors |
| publisher |
Hindawi Limited |
| series |
Computational and Mathematical Methods in Medicine |
| issn |
1748-670X 1748-6718 |
| publishDate |
2006-01-01 |
| description |
The goal of the paper is to compute efficiently solutions for model equations that have the potential to describe the growth of human tumor cells and their responses to radiotherapy or chemotherapy. The mathematical model involves four unknown functions of two independent variables: the time variable t and dimensionless relative DNA content x. The unknown functions can be thought of as the number density of cells and are solutions of a system of four partial differential equations. We construct solutions of the system, which allow us to observe the number density of cells for different t and x values. We present results of our experiments which simulate population kinetics of human cancer cells in vitro. Our results show a correspondence between predicted and experimental data. |
| url |
http://dx.doi.org/10.1080/10273660601017254 |
| work_keys_str_mv |
AT bzubikkowal solutionsforthecellcycleincelllinesderivedfromhumantumors |
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