Search Results - "Byrne, H. M"

An integrative computational model for intestinal tissue renewal by Van Leeuwen, I. M. M., Mirams, G. R., Walter, A., Fletcher, A., Murray, P., Osborne, J., Varma, S., Young, S. J., Cooper, J., Doyle, B., Pitt-Francis, J., Momtahan, L., Pathmanathan, P., Whiteley, J. P., Chapman, S. J., Gavaghan, D. J., Jensen, O. E., King, J. R., Maini, P. K., Waters, S. L., Byrne, H. M.

“…Objectives:  The luminal surface of the gut is lined with a monolayer of epithelial cells that acts as a nutrient absorptive engine and protective barrier. To…”
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A cellular automaton model for tumour growth in inhomogeneous environment by Alarcón, T., Byrne, H.M., Maini, P.K.

“…Most of the existing mathematical models for tumour growth and tumour-induced angiogenesis neglect blood flow. This is an important factor on which both…”
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Continuum approximations of individual-based models for epithelial monolayers by Fozard, J. A., Byrne, H. M., Jensen, O. E., King, J. R.

“…This work examines a 1D individual-based model (IBM) for a system of tightly adherent cells, such as an epithelial monolayer. Each cell occupies a bounded…”
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The influence of bioreactor geometry and the mechanical environment on engineered tissues by Osborne, J M, O'Dea, R D, Whiteley, J P, Byrne, H M, Waters, S L

“…A three phase model for the growth of a tissue construct within a perfusion bioreactor is examined. The cell population (and attendant extracellular matrix),…”
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Mathematical Model for Low Density Lipoprotein (LDL) Endocytosis by Hepatocytes by Wattis, J. A. D, O'Malley, B, Blackburn, H, Pickersgill, L, Panovska, J, Byrne, H. M, Jackson, K. G

“…Individuals with elevated levels of plasma low density lipoprotein (LDL) cholesterol (LDL-C) are considered to be at risk of developing coronary heart disease…”
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A two-phase model of solid tumour growth by Byrne, H.M., King, J.R., McElwain, D.L.S., Preziosi, L.

“…Many solid tumour growth models are formulated as systems of parabolic and/or hyperbolic equations. Here an alternative, two-phase theory is developed to…”
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A mathematical model of the effects of hypoxia on the cell-cycle of normal and cancer cells by Alarcón, T., Byrne, H.M., Maini, P.K.

“…The evolution of the cell-cycle is known to be influenced by environmental conditions, including lack of extracellular oxygen (hypoxia). Notably, hypoxia…”
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A mathematical model for cell infiltration and proliferation in a chondral defect by Kimpton, L.S., Schwab, A., Ehlicke, F., Waters, S.L., Please, C.P., Whiteley, J.P., Byrne, H.M.

“…•A mathematical model of cell a chondral defect filled with a hydrogel is developed.•The mathematical model is applied to ex vivo osteochondral…”
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The effect of time delays on the dynamics of avascular tumor growth by Byrne, H.M.

“…During avascular tumor growth, the balance between cell proliferation and cell loss determines whether the colony expands or regresses. Mathematical models…”
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Modelling the response of spatially structured tumours to chemotherapy: Drug kinetics by Norris, E.S., King, J.R., Byrne, H.M.

“…In this paper we consider the effects of a single anticancer agent on the growth of a solid tumour in the context of a simple mathematical model for the…”
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Growth of nonnecrotic tumors in the presence and absence of inhibitors by Byrne, H.M., Chaplain, M.A.J.

“…In this article a model for the evolution of a spherically symmetric, nonnecrotic tumor is presented. The effects of nutrients and inhibitors on the existence…”
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Multiphase modelling of vascular tumour growth in two spatial dimensions by Hubbard, M.E., Byrne, H.M.

“…In this paper we present a continuum mathematical model of vascular tumour growth which is based on a multiphase framework in which the tissue is decomposed…”
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Interactions between pattern formation and domain growth by Neville, A A, Matthews, P C, Byrne, H M

“…In this paper we develop a theoretical framework for investigating pattern formation in biological systems for which the tissue on which the spatial pattern…”
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Modeling Longitudinal Preclinical Tumor Size Data to Identify Transient Dynamics in Tumor Response to Antiangiogenic Drugs by Hutchinson, LG, Mueller, H‐J, Gaffney, EA, Maini, PK, Wagg, J, Phipps, A, Boetsch, C, Byrne, HM, Ribba, B

“…Experimental evidence suggests that antiangiogenic therapy gives rise to a transient window of vessel normalization, within which the efficacy of radiotherapy…”
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Towards whole-organ modelling of tumour growth by Alarcón, T., Byrne, H.M., Maini, P.K.

“…Multiscale approaches to modelling biological phenomena are growing rapidly. We present here some recent results on the formulation of a theoretical framework…”
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Oscillatory dynamics in a model of vascular tumour growth--implications for chemotherapy by Stamper, I J, Owen, M R, Maini, P K, Byrne, H M

“…Investigations of solid tumours suggest that vessel occlusion may occur when increased pressure from the tumour mass is exerted on the vessel walls. Since…”
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Growth of necrotic tumors in the presence and absence of inhibitors by Byrne, H.M., Chaplain, M.A.J.

“…A mathematical model is presented for the growth of a multicellular spheroid that comprises a central core of necrotic cells surrounded by an outer annulus of…”
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Mathematical Model of Liver Cell Aggregation In Vitro by Green, J. E. F, Waters, S. L, Shakesheff, K. M, Byrne, H. M

“…The behavior of mammalian cells within three-dimensional structures is an area of intense biological research and underpins the efforts of tissue engineers to…”
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The role of cell-cell interactions in a two-phase model for avascular tumour growth by Breward, C J W, Byrne, H M, Lewis, C E

“…A two-phase model is presented to describe avascular tumour growth. Conservation of mass equations, including oxygen-dependent cell growth and death terms, are…”
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A morphoelastic model for dermal wound closure by Bowden, L. G., Byrne, H. M., Maini, P. K., Moulton, D. E.

“…We develop a model of wound healing in the framework of finite elasticity, focussing our attention on the processes of growth and contraction in the dermal…”
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