Displaying similar documents to “A Computational Framework to Assess the Efficacy of Cytotoxic Molecules and Vascular Disrupting Agents against Solid Tumours”

Mathematical Modelling of Tumour Dormancy

K. M. Page (2009)

Mathematical Modelling of Natural Phenomena

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Many tumours undergo periods in which they apparently do not grow but remain at a roughly constant size for extended periods. This is termed tumour dormancy. The mechanisms responsible for dormancy include failure to develop an internal blood supply, individual tumour cells exiting the cell cycle and a balance between the tumour and the immune response to it. Tumour dormancy is of considerable importance in the natural history of cancer. In many cancers, and in particular in breast cancer,...

Application of Hybrid Models to Blood Cell Production in the Bone Marrow

N. Bessonov, F. Crauste, S. Fischer, P. Kurbatova, V. Volpert (2011)

Mathematical Modelling of Natural Phenomena

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A hybrid model of red blood cell production, where cells are considered as discrete objects while intra-cellular proteins and extra-cellular biochemical substances are described with continuous models, is proposed. Spatial organization and regulation of red blood cell production (erythropoiesis) are investigated. Normal erythropoiesis is simulated in two dimensions, and the influence on the output of the model of some parameters involved...