Search Results - "Chaplain, Mark"

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  1. 1

    Mathematical modeling of tumor growth and treatment by Enderling, Heiko, Chaplain, Mark A J

    Published in Current pharmaceutical design (01-01-2014)
    “…Using mathematical models to simulate dynamic biological processes has a long history. Over the past couple of decades or so, quantitative approaches have also…”
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    Journal Article
  2. 2

    Mathematical modelling of cancer invasion: Implications of cell adhesion variability for tumour infiltrative growth patterns by Domschke, Pia, Trucu, Dumitru, Gerisch, Alf, A. J. Chaplain, Mark

    Published in Journal of theoretical biology (21-11-2014)
    “…Cancer invasion, recognised as one of the hallmarks of cancer, is a complex, multiscale phenomenon involving many inter-related genetic, biochemical, cellular…”
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  3. 3

    A Multiscale Mathematical Model of Tumour Invasive Growth by Peng, Lu, Trucu, Dumitru, Lin, Ping, Thompson, Alastair, Chaplain, Mark A. J.

    Published in Bulletin of mathematical biology (01-03-2017)
    “…Known as one of the hallmarks of cancer (Hanahan and Weinberg in Cell 100:57–70, 2000 ) cancer cell invasion of human body tissue is a complicated…”
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  4. 4

    Computational Modeling of Single-Cell Migration: The Leading Role of Extracellular Matrix Fibers by Schlüter, Daniela K., Ramis-Conde, Ignacio, Chaplain, Mark A.J.

    Published in Biophysical journal (19-09-2012)
    “…Cell migration is vitally important in a wide variety of biological contexts ranging from embryonic development and wound healing to malignant diseases such as…”
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  5. 5

    The effect of interstitial pressure on tumor growth: Coupling with the blood and lymphatic vascular systems by Wu, Min, Frieboes, Hermann B., McDougall, Steven R., Chaplain, Mark A.J., Cristini, Vittorio, Lowengrub, John

    Published in Journal of theoretical biology (07-03-2013)
    “…The flow of interstitial fluid and the associated interstitial fluid pressure (IFP) in solid tumors and surrounding host tissues have been identified as…”
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  6. 6

    Stochastic differential equation modelling of cancer cell migration and tissue invasion by Katsaounis, Dimitrios, Chaplain, Mark A. J., Sfakianakis, Nikolaos

    Published in Journal of mathematical biology (01-07-2023)
    “…Invasion of the surrounding tissue is a key aspect of cancer growth and spread involving a coordinated effort between cell migration and matrix degradation,…”
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  7. 7

    A novel nonlocal partial differential equation model of endothelial progenitor cell cluster formation during the early stages of vasculogenesis by Villa, Chiara, Gerisch, Alf, Chaplain, Mark A.J.

    Published in Journal of theoretical biology (07-02-2022)
    “…The formation of new vascular networks is essential for tissue development and regeneration, in addition to playing a key role in pathological settings such as…”
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  8. 8

    Towards predicting the response of a solid tumour to chemotherapy and radiotherapy treatments: clinical insights from a computational model by Powathil, Gibin G, Adamson, Douglas J A, Chaplain, Mark A J

    Published in PLoS computational biology (01-07-2013)
    “…In this paper we use a hybrid multiscale mathematical model that incorporates both individual cell behaviour through the cell-cycle and the effects of the…”
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  9. 9

    Systems oncology: Towards patient-specific treatment regimes informed by multiscale mathematical modelling by Powathil, Gibin G, Swat, Maciej, Chaplain, Mark A.J

    Published in Seminars in cancer biology (01-02-2015)
    “…Abstract The multiscale complexity of cancer as a disease necessitates a corresponding multiscale modelling approach to produce truly predictive mathematical…”
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  10. 10

    Multiscale modelling and nonlinear simulation of vascular tumour growth by Macklin, Paul, McDougall, Steven, Anderson, Alexander R. A, Chaplain, Mark A. J, Cristini, Vittorio, Lowengrub, John

    Published in Journal of mathematical biology (01-04-2009)
    “…In this article, we present a new multiscale mathematical model for solid tumour growth which couples an improved model of tumour invasion with a model of…”
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  11. 11

    A novel 3D atomistic-continuum cancer invasion model: In silico simulations of an in vitro organotypic invasion assay by Franssen, Linnea C., Sfakianakis, Nikolaos, Chaplain, Mark A.J.

    Published in Journal of theoretical biology (07-08-2021)
    “…•Epithelial tumours grow via complex interactions between cancer cell phenotypes.•Due to their small number mesenchymal cells are modelled by an…”
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  12. 12

    Modelling the effects of cell-cycle heterogeneity on the response of a solid tumour to chemotherapy: Biological insights from a hybrid multiscale cellular automaton model by Powathil, Gibin G., Gordon, Kirsty E., Hill, Lydia A., Chaplain, Mark A.J.

    Published in Journal of theoretical biology (07-09-2012)
    “…The therapeutic control of a solid tumour depends critically on the responses of the individual cells that constitute the entire tumour mass. A particular…”
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  13. 13

    Paradoxical Dependencies of Tumor Dormancy and Progression on Basic Cell Kinetics by ENDERLING, Heiko, ANDERSON, Alexander R. A, CHAPLAIN, Mark A. J, BEHESHTI, Afshin, HLATKY, Lynn, HAHNFELDT, Philip

    Published in Cancer research (Chicago, Ill.) (15-11-2009)
    “…Even after a tumor is established, it can early on enter a state of dormancy marked by balanced cell proliferation and cell death. Disturbances to this…”
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  14. 14

    Mechanical Models of Pattern and Form in Biological Tissues: The Role of Stress–Strain Constitutive Equations by Villa, Chiara, Chaplain, Mark A. J., Gerisch, Alf, Lorenzi, Tommaso

    Published in Bulletin of mathematical biology (01-07-2021)
    “…Mechanical and mechanochemical models of pattern formation in biological tissues have been used to study a variety of biomedical systems, particularly in…”
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  15. 15

    Targeting Cellular DNA Damage Responses in Cancer: An In Vitro-Calibrated Agent-Based Model Simulating Monolayer and Spheroid Treatment Responses to ATR-Inhibiting Drugs by Hamis, Sara, Yates, James, Chaplain, Mark A. J., Powathil, Gibin G.

    Published in Bulletin of mathematical biology (01-10-2021)
    “…We combine a systems pharmacology approach with an agent-based modelling approach to simulate LoVo cells subjected to AZD6738, an ATR…”
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  16. 16

    A Mathematical Framework for Modelling the Metastatic Spread of Cancer by Franssen, Linnea C., Lorenzi, Tommaso, Burgess, Andrew E. F., Chaplain, Mark A. J.

    Published in Bulletin of mathematical biology (01-06-2019)
    “…Cancer is a complex disease that starts with mutations of key genes in one cell or a small group of cells at a primary site in the body. If these cancer cells…”
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  17. 17

    Structured models of cell migration incorporating molecular binding processes by Domschke, Pia, Trucu, Dumitru, Gerisch, Alf, Chaplain, Mark A. J.

    Published in Journal of mathematical biology (01-12-2017)
    “…The dynamic interplay between collective cell movement and the various molecules involved in the accompanying cell signalling mechanisms plays a crucial role…”
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  18. 18

    A hybrid discrete-continuum approach to model Turing pattern formation by Macfarlane, Fiona R, Chaplain, Mark A J, Lorenzi, Tommaso

    “…Since its introduction in 1952, with a further refinement in 1972 by Gierer and Meinhardt, Turing's (pre-)pattern theory (the chemical basis of morphogenesis)…”
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  19. 19

    Mathematical modeling of cancer cell invasion of tissue: biological insight from mathematical analysis and computational simulation by Andasari, Vivi, Gerisch, Alf, Lolas, Georgios, South, Andrew P., Chaplain, Mark A. J.

    Published in Journal of mathematical biology (01-07-2011)
    “…The ability of cancer cells to break out of tissue compartments and invade locally gives solid tumours a defining deadly characteristic. One of the first steps…”
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  20. 20

    Integrating intracellular dynamics using CompuCell3D and Bionetsolver: applications to multiscale modelling of cancer cell growth and invasion by Andasari, Vivi, Roper, Ryan T, Swat, Maciej H, Chaplain, Mark A J

    Published in PloS one (26-03-2012)
    “…In this paper we present a multiscale, individual-based simulation environment that integrates CompuCell3D for lattice-based modelling on the cellular level…”
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