Search Results - "Anderson, A.R.A."

Mathematical modeling of tumor-induced angiogenesis by Chaplain, M A J, McDougall, S R, Anderson, A R A

“…Angiogenesis, the growth of a network of blood vessels, is a crucial component of solid tumor growth, linking the relatively harmless avascular and the…”
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SP-0013: A mathematical model of tumor self-seeding reveals secondary metastatic deposits as drivers of primary tumor growth by Gerlee, P, Scott, J.G, Basanta, D, Anderson, A.R.A

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A mathematical model for capillary network formation in the absence of endothelial cell proliferation by Anderson, A.R.A., Chaplain, M.A.J.

“…A mathematical model for endothelial cell migration during tumour-induced angiogenesis is presented. A possible explanation, in terms of desensitisation of…”
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Does breast cancer exist in a state of chaos? by Baum, M, Chaplain, M.A.J, Anderson, A.R.A, Douek, M, Vaidya, J.S

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Treatment of evolving cancers will require dynamic decision support by Strobl, M.A.R., Gallaher, J., Robertson-Tessi, M., West, J., Anderson, A.R.A.

“…Cancer research has traditionally focused on developing new agents, but an underexplored question is that of the dose and frequency of existing drugs. Based on…”
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An evolutionary hybrid cellular automaton model of solid tumour growth by Gerlee, P., Anderson, A.R.A.

“…We propose a cellular automaton model of solid tumour growth, in which each cell is equipped with a micro-environment response network. This network is…”
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A hybrid cellular automaton model of clonal evolution in cancer: The emergence of the glycolytic phenotype by Gerlee, P., Anderson, A.R.A.

“…We present a cellular automaton model of clonal evolution in cancer aimed at investigating the emergence of the glycolytic phenotype. In the model each cell is…”
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Evolution of cell motility in an individual-based model of tumour growth by Gerlee, P., Anderson, A.R.A.

“…Tumour invasion is driven by proliferation and importantly migration into the surrounding tissue. Cancer cell motility is also critical in the formation of…”
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Mathematical modelling of flow in 2D and 3D vascular networks: Applications to anti-angiogenic and chemotherapeutic drug strategies by Stéphanou, A., McDougall, S.R., Anderson, A.R.A., Chaplain, M.A.J.

“…The aim of this paper is to investigate the conditions required to optimize the amount of chemotherapeutic drug absorbed by a solid tumour through a network of…”
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Mathematical modelling of the influence of blood rheological properties upon adaptative tumour-induced angiogenesis by Stéphanou, A., McDougall, S.R., Anderson, A.R.A., Chaplain, M.A.J.

“…In this paper, we present a theoretical investigation of the influence of blood flow through a tumour-induced capillary network, whereby the vascular…”
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Continuous and Discrete Mathematical Models of Tumor-induced Angiogenesis by Anderson, A.R.A., Chaplain, M.A.J.

“…Angiogenesis, the formation of blood vessels from a pre-existing vasculature, is a process whereby capillary sprouts are formed in response to externally…”
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Mathematical Modelling of Flow Through Vascular Networks: Implications for Tumour-induced Angiogenesis and Chemotherapy Strategies by McDougall, S.R., Anderson, A.R.A., Chaplain, M.A.J., Sherratt, J.A.

“…Angiogenesis, the formation of blood vessels from a pre-existing vasculature, is a process whereby capillary sprouts are formed in response to externally…”
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Modelling evolutionary cell behaviour using neural networks: Application to tumour growth by Gerlee, P., Anderson, A.R.A.

“…In this paper, we present a modelling framework for cellular evolution that is based on the notion that a cell’s behaviour is driven by interactions with other…”
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Perspectives on tissue interactions in development and disease by Strand, D W, Franco, O E, Basanta, D, Anderson, A R A, Hayward, S W

“…From the morphogenetic movements of the three germ layers during development to the reactive stromal microenvironment in cancer, tissue interactions are vital…”
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Model-controlled hydrodynamic focusing to generate multiple overlapping gradients of surface-immobilized proteins in microfluidic devices by Georgescu, Walter, Jourquin, Jerome, Estrada, Lourdes, Anderson, Alexander R A, Quaranta, Vito, Wikswo, John P

“…Historically, it has been difficult to generate accurate and reproducible protein gradients for studies of interactions between cells and extracellular matrix…”
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Gene divergence and pathway duplication in the metabolic network of yeast and digital organisms by Gerlee, P., Lundh, T., Zhang, B., Anderson, A. R. A.

“…revealed precisely this; genes involved in many pathways are more likely to increase their connectivity. Measuring the overlap between different pathways, in…”
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Immune interconnectivity of anatomically distant tumors as a potential mediator of systemic responses to local therapy by Walker, Rachel, Poleszczuk, Jan, Pilon-Thomas, Shari, Kim, Sungjune, Anderson, Alexander A. R. A., Czerniecki, Brian J., Harrison, Louis B., Moros, Eduardo G., Enderling, Heiko

“…Complex interactions occur between tumor and host immune system at each site in the metastatic setting, the outcome of which can determine behavior ranging…”
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A gradient-driven mathematical model of antiangiogenesis by Anderson, A.R.A., Chaplain, M.A.J., García-Reimbert, C., Vargas, C.A.

“…In this paper, we present a mathematical model describing the angiogenic response of endothelial cells to a secondary tumour. It has been observed…”
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A mathematical analysis of a model for capillary network formation in the absence of endothelial cell proliferation by Sleeman, B.D., Anderson, A.R.A., Chaplain, M.A.J.

“…An analysis of a parabolic partial differential equation modelling capillary network formation is presented. The model includes terms representing cell random…”
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Steady-state solutions of a generic model for the formation of capillary networks by Davidson, F.A., Anderson, A.R.A., Chaplain, M.A.J.

“…A steady-state analysis of solutions of a generic model for capillary network formation is discussed. Under certain circumstances such solutions represent…”
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