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Elaboration of a Multispecies Model of Solid Tumor Growth with Tumor-Host Interactions

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International Conference on Theory and Application in Nonlinear Dynamics (ICAND 2012)

Part of the book series: Understanding Complex Systems ((UCS))

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Abstract

There has been increasing evidence of the critical effects of microenvironmental influence on tumor growth and metastasis. In this report, we extend a multispecies continuum model of solid tumor growth to include interaction of the tumor with its microenvironment. This new model, which incorporates reported interactions between tumor- and stroma-derived chemical signals, predicts a nonlinear response to host factors: increased growth and asymmetry of the tumor at low levels of stromal fibroblast-produced Hepatocyte Growth Factor / Scatter Factor (HGF/SF), and reduced growth at high levels.We test the model predictions using colon cancer initiating cell (CCIC) spheroids grown in media in varying concentrations of HGF. The experiments show qualitatively similar behavior to the model predictions. We plan to use the experimental studies to calibrate the mathematical model, and to use the mathematical model to make predictions regarding tumor behavior in order to guide future experimental studies.

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Acknowledgments

The authors would like to thank the National Institutes of Health and the National Cancer Institute for funding through grants 1RC2CA148493-01 and P30CA062203 for the Chao Comprehensive Cancer Center at UC Irvine. In addition, we acknowledge partial support from NIH grant P50GM76516 for a Center of Excellence in Systems Biology at UC Irvine. Further, AK gratefully acknowledges support from National Institutes for BioImaging and Bioengineering, JSL for support from the National Science Foundation, Division of Mathematical Sciences, and MLW for support from NIH grants CA096878 and CA108697.

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Authors and Affiliations

  1. Department of Mathematics, UC, Irvine, USA

    A. Konstorum

  2. Department of Microbiology and Molecular Genetics, UC, Irvine, USA

    S. A. Sprowl & M. L. Waterman

  3. Department of Developmental and Cell Biologym, UC, Irvine, USA

    A. D. Lander

  4. Department of Mathematics, Department of Biomedical Engineering Center for Complex Biological Systems, UC, Irvine, USA

    J. S. Lowengrub

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  1. A. Konstorum
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  2. S. A. Sprowl
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  3. M. L. Waterman
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  4. A. D. Lander
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  5. J. S. Lowengrub
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Corresponding author

Correspondence to A. Konstorum .

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Editors and Affiliations

  1. Code 71730, Spawar Systems Center, San Diego, California, USA

    Visarath In

  2. Department of Mathematics, San Diego State University, San Diego, California, USA

    Antonio Palacios

  3. Code 71730, Spawar Systems Center, San Diego, California, USA

    Patrick Longhini

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Konstorum, A., Sprowl, S.A., Waterman, M.L., Lander, A.D., Lowengrub, J.S. (2014). Elaboration of a Multispecies Model of Solid Tumor Growth with Tumor-Host Interactions. In: In, V., Palacios, A., Longhini, P. (eds) International Conference on Theory and Application in Nonlinear Dynamics (ICAND 2012). Understanding Complex Systems. Springer, Cham. https://doi.org/10.1007/978-3-319-02925-2_26

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