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  1. Article

    Open Access

    Mathematical modelling of contact dermatitis from nickel and chromium

    Dermal exposure to metal allergens can lead to irritant and allergic contact dermatitis (ACD). In this paper we present a mathematical model of the absorption of metal ions, hexavalent chromium and nickel, int...

    J. P. Ward, S. J. Franks, M. J. Tindall, J. R. King… in Journal of Mathematical Biology (2019)

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  2. Article

    Open Access

    A high-density immunoblotting methodology for quantification of total protein levels and phosphorylation modifications

    The components of many signaling pathways have been identified and there is now a need to conduct quantitative data-rich temporal experiments for systems biology and modeling approaches to better understand pa...

    F. Mazet, J. L. Dunster, C. I. Jones, S. Vaiyapuri, M. J. Tindall… in Scientific Reports (2015)

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  3. No Access

    Article

    Overview of Mathematical Approaches Used to Model Bacterial Chemotaxis II: Bacterial Populations

    We review the application of mathematical modeling to understanding the behavior of populations of chemotactic bacteria. The application of continuum mathematical models, in particular generalized Keller–Segel...

    M. J. Tindall, P. K. Maini, S. L. Porter… in Bulletin of Mathematical Biology (2008)

  4. No Access

    Article

    Overview of Mathematical Approaches Used to Model Bacterial Chemotaxis I: The Single Cell

    Mathematical modeling of bacterial chemotaxis systems has been influential and insightful in hel** to understand experimental observations. We provide here a comprehensive overview of the range of mathematic...

    M. J. Tindall, S. L. Porter, P. K. Maini, G. Gaglia… in Bulletin of Mathematical Biology (2008)

  5. No Access

    Article

    Modelling the Cell Cycle and Cell Movement in Multicellular Tumour Spheroids

    This paper analyses a recent mathematical model of avascular tumour spheroid growth which accounts for both cell cycle dynamics and chemotactic driven cell movement. The model considers cells to exist in one o...

    M. J. Tindall, C. P. Please in Bulletin of Mathematical Biology (2007)

  6. No Access

    Article

    Modelling Cell Growth and its Modulation of the G1/S Transition

    We present a model for the regulation of the G1/S transition by cell growth in budding yeast. The model includes a description of cell size, the extracellular nutrient concentration and a simplified model of the ...

    T. Alarcón, M. J. Tindall in Bulletin of Mathematical Biology (2007)

  7. No Access

    Article

    The migration of cells in multicell tumor spheroids

    A mathematical model is proposed to explain the observed internalization of microspheres and 3H-thymidine labelled cells in steady-state multicellular spheroids. The model uses the conventional ideas of nutrient ...

    G. J. Pettet, C. P. Please, M. J. Tindall… in Bulletin of Mathematical Biology (2001)