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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, Vol. 1878, 2019, p. 263-277.

Research output: SCORING: Contribution to journal › SCORING: Journal article › Research › peer-review

Harvard

Hoffmann, B, Frenzel, T, Schmitz, R, Schumacher, U & Wedemann, G 2019, 'Modeling Growth of Tumors and Their Spreading Behavior Using Mathematical Functions', Methods Mol Biol, vol. 1878, pp. 263-277. https://doi.org/10.1007/978-1-4939-8868-6_16

APA

Hoffmann, B., Frenzel, T., Schmitz, R., Schumacher, U., & Wedemann, G. (2019). Modeling Growth of Tumors and Their Spreading Behavior Using Mathematical Functions. Methods Mol Biol, 1878, 263-277. https://doi.org/10.1007/978-1-4939-8868-6_16

Vancouver

Hoffmann B, Frenzel T, Schmitz R, Schumacher U, Wedemann G. Modeling Growth of Tumors and Their Spreading Behavior Using Mathematical Functions. Methods Mol Biol. 2019;1878:263-277. https://doi.org/10.1007/978-1-4939-8868-6_16

Bibtex

@article{303982a48e294d28b2e88fb78f33f681,
title = "Modeling Growth of Tumors and Their Spreading Behavior Using Mathematical Functions",
abstract = "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.",
keywords = "Journal Article",
author = "Bertin Hoffmann and Thorsten Frenzel and R{\"u}diger Schmitz and Udo Schumacher and Gero Wedemann",
year = "2019",
doi = "10.1007/978-1-4939-8868-6_16",
language = "English",
volume = "1878",
pages = "263--277",
journal = "Methods Mol Biol",
issn = "1064-3745",
publisher = "Humana Press",

}

RIS

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 -