Search Results - "Chaplain, Mark"
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Mathematical modeling of tumor growth and treatment
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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Mathematical modelling of cancer invasion: Implications of cell adhesion variability for tumour infiltrative growth patterns
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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A Multiscale Mathematical Model of Tumour Invasive Growth
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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Computational Modeling of Single-Cell Migration: The Leading Role of Extracellular Matrix Fibers
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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The effect of interstitial pressure on tumor growth: Coupling with the blood and lymphatic vascular systems
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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Stochastic differential equation modelling of cancer cell migration and tissue invasion
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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A novel nonlocal partial differential equation model of endothelial progenitor cell cluster formation during the early stages of vasculogenesis
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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Towards predicting the response of a solid tumour to chemotherapy and radiotherapy treatments: clinical insights from a computational model
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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Systems oncology: Towards patient-specific treatment regimes informed by multiscale mathematical modelling
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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Multiscale modelling and nonlinear simulation of vascular tumour growth
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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A novel 3D atomistic-continuum cancer invasion model: In silico simulations of an in vitro organotypic invasion assay
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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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
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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Paradoxical Dependencies of Tumor Dormancy and Progression on Basic Cell Kinetics
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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Mechanical Models of Pattern and Form in Biological Tissues: The Role of Stress–Strain Constitutive Equations
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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Targeting Cellular DNA Damage Responses in Cancer: An In Vitro-Calibrated Agent-Based Model Simulating Monolayer and Spheroid Treatment Responses to ATR-Inhibiting Drugs
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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A Mathematical Framework for Modelling the Metastatic Spread of Cancer
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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Structured models of cell migration incorporating molecular binding processes
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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A hybrid discrete-continuum approach to model Turing pattern formation
Published in Mathematical biosciences and engineering : MBE (29-10-2020)“…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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Mathematical modeling of cancer cell invasion of tissue: biological insight from mathematical analysis and computational simulation
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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Integrating intracellular dynamics using CompuCell3D and Bionetsolver: applications to multiscale modelling of cancer cell growth and invasion
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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