Mathematical models of tumor growth have provided the basis for the clinical application of dose-dense chemotherapy.
To investigate the effect of tumor site, measurement precision, tumor surrogate correlation, training data selection, model design, and interpatient and interfraction variations on the accuracy of external marker-based models of tumor position.
Recent progress in quantitative functional imaging as well as mathematical models of tumor response to radiotherapy is increasingly enabling treatment planners to monitor/predict a patient's biological response over weeks of treatment.
This review focuses on the current and new concepts of classification and on the current models of tumor development, both in the field of exocrine and endocrine neoplasms, and underscores the importance of applying standardized terminology to allow adequate data interpretation and promote scientific exchange in the field of pancreas research.
All compounds were evaluated for their ability to inhibit endopeptidase and exopeptidase activities of cathepsin B. For the most promising inhibitors, the ability to reduce extracellular and intracellular collagen IV degradation was determined, followed by their evaluation in cell-based in vitro models of tumor invasion.
We have investigated by an extended numerical study the way in which this artificial peptide interacts with models of tumor and healthy cell membranes, proving by Potential Mean Force calculations that the affinity of the peptide to model tumor membranes is significantly larger than to healthy ones.
For comprehensive reviews of mathematical models of tumor growth see [75], [76] and references therein.
Three recent models of tumor growth have analyzed tumor-growth morphologies in a two-dimensional parameter phase space.
Therefore, our results justify using simpler 2D models of tumor growth instead of 3D models in some cases.
Large-scale production of this protein is certainly an attractive approach to facilitate the speed at which therapeutic efficacy can be validated in larger animal models of tumor growth, angiogenesis, and neurodegenerations without the drawbacks of viral mediated transfer of the gene.
Mathematical models of tumor growth [47] range from simple fitting of experimental data on the growth kinetics of tumor spheroids using various growth laws [48] to more complex simulations of tumor-induced angiogenesis and capillary network formation [47], [49] [52], and tumor spreading at early [53] and later invasive stages [18], [54] [58].
