Modeling Growth of Tumors and Their Spreading Behavior Using Mathematical Functions
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Modeling Growth of Tumors and Their Spreading Behavior Using Mathematical Functions. / Hoffmann, Bertin; Frenzel, Thorsten; Schmitz, Rüdiger; Schumacher, Udo; Wedemann, Gero.
in: Methods Mol Biol, Jahrgang 1878, 2019, S. 263-277.Publikationen: SCORING: Beitrag in Fachzeitschrift/Zeitung › SCORING: Zeitschriftenaufsatz › Forschung › Begutachtung
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TY - JOUR
T1 - Modeling Growth of Tumors and Their Spreading Behavior Using Mathematical Functions
AU - Hoffmann, Bertin
AU - Frenzel, Thorsten
AU - Schmitz, Rüdiger
AU - Schumacher, Udo
AU - Wedemann, Gero
PY - 2019
Y1 - 2019
N2 - Computer simulations of the spread of malignant tumor cells in an entire organism provide important insights into the mechanisms of metastatic progression. Key elements for the usefulness of these models are the adequate selection of appropriate mathematical models describing the tumor growth and its parametrization as well as a proper choice of the fractal dimension of the blood vessels in the primary tumor. In addition, survival in the bloodstream and evasion into the connective spaces of the target organ of the future metastasis have to be modeled. Determination of these from experimental models is complicated by systematic and unsystematic experimental errors which are difficult to assess. In this chapter, we demonstrate how to select the best-suited mathematical function to describe tumor growth for experimental xenograft mouse tumor models and how to parametrize them. Common pitfalls and problems are described as well as methods to avoid them.
AB - Computer simulations of the spread of malignant tumor cells in an entire organism provide important insights into the mechanisms of metastatic progression. Key elements for the usefulness of these models are the adequate selection of appropriate mathematical models describing the tumor growth and its parametrization as well as a proper choice of the fractal dimension of the blood vessels in the primary tumor. In addition, survival in the bloodstream and evasion into the connective spaces of the target organ of the future metastasis have to be modeled. Determination of these from experimental models is complicated by systematic and unsystematic experimental errors which are difficult to assess. In this chapter, we demonstrate how to select the best-suited mathematical function to describe tumor growth for experimental xenograft mouse tumor models and how to parametrize them. Common pitfalls and problems are described as well as methods to avoid them.
KW - Journal Article
U2 - 10.1007/978-1-4939-8868-6_16
DO - 10.1007/978-1-4939-8868-6_16
M3 - SCORING: Journal article
C2 - 30378082
VL - 1878
SP - 263
EP - 277
JO - Methods Mol Biol
JF - Methods Mol Biol
SN - 1064-3745
ER -