2004
DOI: 10.1667/rr3193
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Modeling and Computer Simulations of Tumor Growth and Tumor Response to Radiotherapy

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Cited by 54 publications
(55 citation statements)
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“…Such models have been presented by e.g. Kocher and Treuer (1995); Kocher et al (1997) and Borkenstein et al (2004), showing that the complex process of tumor growth and response to radiotherapy can be successfully simulated with clinically interesting results.…”
Section: Overview Of Existing Models Of Microvascular Networkmentioning
confidence: 99%
“…Such models have been presented by e.g. Kocher and Treuer (1995); Kocher et al (1997) and Borkenstein et al (2004), showing that the complex process of tumor growth and response to radiotherapy can be successfully simulated with clinically interesting results.…”
Section: Overview Of Existing Models Of Microvascular Networkmentioning
confidence: 99%
“…In the model by Antipas et al (2004), the quiescence was defined by a range of pH: cells became proliferative again if the concentration in ions H+ rose above the upper value of the range, and cells died if the concentration decreased below the lower limit. Different approaches were taken for the cell division: in the model by Kansal et al (2000), cells died if there was no space in the neighbourhood, while in the model by Borkenstein et al (2004), cells could push the neighbours in random directions when they divided. The direction of division could also depend on the distribution of nutrients surrounding 10 2.2.…”
Section: The Checkpoints: Control Of the Cell Cyclementioning
confidence: 99%
“…" If there was no space, the new cell pushed the existing cells away in random directions on the dish (Borkenstein et al, 2004).…”
Section: Cell Cycle and Growth Of Colonies 341 Cell Cycle Rulesmentioning
confidence: 99%
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“…A stochastic cell-based spatial and/or temporal model in the current era is being perused by researchers such as Stamatakos, Dionysiou, Borkenstein, Harting, Daşu and Titz [8][9][10][11][12][13]. Many models now focus on spatial-based cell parameterisation and the placement of cells within a "lattice" defining the tumour volume.…”
Section: Modelling Hypoxic Tumour Responsementioning
confidence: 99%