A mathematical modeling of tumor therapy with oncolytic viruses is discussed. The model consists of two coupled, deterministic differential equations allowing for cell reproduction and death, and cell infection. The m...A mathematical modeling of tumor therapy with oncolytic viruses is discussed. The model consists of two coupled, deterministic differential equations allowing for cell reproduction and death, and cell infection. The model is one of the conceptual mathematical models of tumor growth that treat a tumor as a dynamic society of interacting cells. In this paper, we obtain an approximate analytical expression of uninfected and infected cell population by solving the non-linear equations using Homotopy analysis method (HAM). Furthermore, the results are compared with the numerical simulation of the problem using Matlab program. The obtained results are valid for the whole solution domain.展开更多
A 2D discrete mathematical model of a nine-point finite difference scheme is built to simulate tumor-induced angiogenesis. Nine motion directions of an individual endothelial cell and two parent vessels are extended i...A 2D discrete mathematical model of a nine-point finite difference scheme is built to simulate tumor-induced angiogenesis. Nine motion directions of an individual endothelial cell and two parent vessels are extended in the present model. The process of tumor-induced angiogenesis is performed by coupling random motility, chemotaxis, and haptotaxis of endothelial cell in different mechanical environments inside and outside the tumor. The results show that nearly realistic tumor microvascular networks with neoplastic pathophysiological characteristics can be generated from the present model. Moreover, the theoretical capillary networks generated in numerical simulations of the discrete model may provide useful information for further clinical research.展开更多
Tumors are believed to consist of a heterogeneous population of tumor ceils originating from rare cancer stem cells （CSCs）. However, emerging evidence suggests that tumor may also origi- nate from non-CSCs. To suppo...Tumors are believed to consist of a heterogeneous population of tumor ceils originating from rare cancer stem cells （CSCs）. However, emerging evidence suggests that tumor may also origi- nate from non-CSCs. To support this viewpoint, we are here to present definitive evidence indicating that the number of tumorigenic tumor cells is greater than that of CSCs in tumor, and tumor can also derive from non-CSCs. To achieve this, an idealized mathematical model was employed in the pre- sent study and theoretical calculation revealed that non-CSCs could initiate the occurrence of tumor if their proliferation potential was adequate. Further, experimental studies demonstrated that 17.7%, 38.6% and 5.2% of tumor cells in murine B16 solid melanoma, H22 hepatoma and Lewis lung carci2 noma, respectively, were potentially tumorigenic. Thus, based on the aforementioned findings, we propose that the scarce CSCs, if exist, are not the sole source of a tumor.展开更多
为了解决喷水推进船在各种工况下,喷泵工作在气蚀区的问题,利用Simulink与MFC(Microsoft Foundation Class)集成的方法开发出了可用于制定喷水推进装置在回转、加速等工况下,避免喷泵在空化区运行的工作制的仿真程序。利用开发出的仿真...为了解决喷水推进船在各种工况下,喷泵工作在气蚀区的问题,利用Simulink与MFC(Microsoft Foundation Class)集成的方法开发出了可用于制定喷水推进装置在回转、加速等工况下,避免喷泵在空化区运行的工作制的仿真程序。利用开发出的仿真程序对特定工况下的最大柴油机转速、最大喷泵转角以及最短加速时间做了仿真计算。该计算结果对喷水推进艇避免喷泵气蚀的操作规程有一定的参考价值。展开更多
文摘A mathematical modeling of tumor therapy with oncolytic viruses is discussed. The model consists of two coupled, deterministic differential equations allowing for cell reproduction and death, and cell infection. The model is one of the conceptual mathematical models of tumor growth that treat a tumor as a dynamic society of interacting cells. In this paper, we obtain an approximate analytical expression of uninfected and infected cell population by solving the non-linear equations using Homotopy analysis method (HAM). Furthermore, the results are compared with the numerical simulation of the problem using Matlab program. The obtained results are valid for the whole solution domain.
基金supported by the National Natural Science Foundation of China (No. 10772051)the ScienceFoundation for the Excellent Youth Scholars of Higher Education of Shanghai (No. 571215)the Research Fund for the Doctoral Program of University of Shanghai for Science and Technology(No. 10D214)
文摘A 2D discrete mathematical model of a nine-point finite difference scheme is built to simulate tumor-induced angiogenesis. Nine motion directions of an individual endothelial cell and two parent vessels are extended in the present model. The process of tumor-induced angiogenesis is performed by coupling random motility, chemotaxis, and haptotaxis of endothelial cell in different mechanical environments inside and outside the tumor. The results show that nearly realistic tumor microvascular networks with neoplastic pathophysiological characteristics can be generated from the present model. Moreover, the theoretical capillary networks generated in numerical simulations of the discrete model may provide useful information for further clinical research.
基金supported by Scientific Research Fund of Shanghai Health Bureau of China(No.2008131)
文摘Tumors are believed to consist of a heterogeneous population of tumor ceils originating from rare cancer stem cells （CSCs）. However, emerging evidence suggests that tumor may also origi- nate from non-CSCs. To support this viewpoint, we are here to present definitive evidence indicating that the number of tumorigenic tumor cells is greater than that of CSCs in tumor, and tumor can also derive from non-CSCs. To achieve this, an idealized mathematical model was employed in the pre- sent study and theoretical calculation revealed that non-CSCs could initiate the occurrence of tumor if their proliferation potential was adequate. Further, experimental studies demonstrated that 17.7%, 38.6% and 5.2% of tumor cells in murine B16 solid melanoma, H22 hepatoma and Lewis lung carci2 noma, respectively, were potentially tumorigenic. Thus, based on the aforementioned findings, we propose that the scarce CSCs, if exist, are not the sole source of a tumor.
文摘为了解决喷水推进船在各种工况下,喷泵工作在气蚀区的问题,利用Simulink与MFC(Microsoft Foundation Class)集成的方法开发出了可用于制定喷水推进装置在回转、加速等工况下,避免喷泵在空化区运行的工作制的仿真程序。利用开发出的仿真程序对特定工况下的最大柴油机转速、最大喷泵转角以及最短加速时间做了仿真计算。该计算结果对喷水推进艇避免喷泵气蚀的操作规程有一定的参考价值。
