Search Results - "Edwards, Carina M."

Mathematical modeling of cell population dynamics in the colonic crypt and in colorectal cancer by Johnston, Matthew D, Edwards, Carina M, Bodmer, Walter F, Maini, Philip K, Chapman, S. Jonathan

“…Colorectal cancer is initiated in colonic crypts. A succession of genetic mutations or epigenetic changes can lead to homeostasis in the crypt being overcome,…”
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Towards a multiscale model of colorectal cancer by van Leeuwen, Ingeborg M M, Edwards, Carina M, Ilyas, Mohammad, Byrne, Helen M

“…Colorectal cancer （CRC） is one of the best characterised cancers, with extensive data documenting the sequential gene mutations that underlie its development…”
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Examples of Mathematical Modeling: Tales from the Crypt by Johnston, Matthew D., Edwards, Carina M., Bodmer, Walter F., Maini, Philip K., Chapman, S. Jonathan

“…Mathematical modeling is being increasingly recognized within the biomedical sciences as an important tool that can aid the understanding of biological…”
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Force localization in contracting cell layers by Edwards, Carina M, Schwarz, Ulrich S

“…Epithelial cell layers on soft elastic substrates or pillar arrays are commonly used as model systems for investigating the role of force in tissue growth,…”
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On the proportion of cancer stem cells in a tumour by Johnston, Matthew D., Maini, Philip K., Jonathan Chapman, S., Edwards, Carina M., Bodmer, Walter F.

“…It is now generally accepted that cancers contain a sub-population, the cancer stem cells (CSCs), which initiate and drive a tumour’s growth. At least until…”
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Classifying general nonlinear force laws in cell-based models via the continuum limit by Murray, Philip J, Edwards, Carina M, Tindall, Marcus J, Maini, Philip K

“…Although discrete cell-based frameworks are now commonly used to simulate a whole range of biological phenomena, it is typically not obvious how the numerous…”
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Dynamic ordering of nuclei in syncytial embryos: a quantitative analysis of the role of cytoskeletal networks by Kanesaki, Takuma, Edwards, Carina M, Schwarz, Ulrich S, Grosshans, Jörg

“…In syncytial embryos nuclei undergo cycles of division and rearrangement within a common cytoplasm. It is presently unclear to what degree and how the nuclear…”
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Biomechanical modelling of colorectal crypt budding and fission by Edwards, Carina M, Chapman, S Jonathan

“…This paper presents a biomechanical model for the small pits, called crypts, that line the colon. A continuum approach is adopted, with the crypt epithelium…”
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Comparing a discrete and continuum model of the intestinal crypt by Murray, Philip J, Walter, Alex, Fletcher, Alexander G, Edwards, Carina M, Tindall, Marcus J, Maini, Philip K

“…The integration of processes at different scales is a key problem in the modelling of cell populations. Owing to increased computational resources and the…”
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From a discrete to a continuum model of cell dynamics in one dimension by Murray, Philip J, Edwards, Carina M, Tindall, Marcus J, Maini, Philip K

“…Multiscale modeling is emerging as one of the key challenges in mathematical biology. However, the recent rapid increase in the number of modeling…”
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Non-classical shallow water flows by Edwards, Carina M., Howison, S. D., Ockendon, H., Ockendon, J. R.

“…This paper deals with violent discontinuities in shallow water flows with large Froude number F. On a horizontal base, the paradigm problem is that of the…”
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Force localization in contracting cell layers by Edwards, Carina M, Schwarz, Ulrich S

“…Phys. Rev. Lett., 107:128101, 2011 Epithelial cell layers on soft elastic substrates or pillar arrays are commonly used as model systems for investigating the…”
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