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    <subfield code="a">Ayensa-Jiménez, J.</subfield>
    <subfield code="u">Universidad de Zaragoza</subfield>
    <subfield code="0">(orcid)0000-0003-2564-6038</subfield>
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    <subfield code="a">Mathematical formulation and parametric analysis of in vitro cell models in microfluidic devices: application to different stages of glioblastoma evolution</subfield>
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    <subfield code="a">In silico models and computer simulation are invaluable tools to better understand complex biological processes such as cancer evolution. However, the complexity of the biological environment, with many cell mechanisms in response to changing physical and chemical external stimuli, makes the associated mathematical models highly non-linear and multiparametric. One of the main problems of these models is the determination of the parameters’ values, which are usually fitted for specific conditions, making the conclusions drawn difficult to generalise. We analyse here an important biological problem: the evolution of hypoxia-driven migratory structures in Glioblastoma Multiforme (GBM), the most aggressive and lethal primary brain tumour. We establish a mathematical model considering the interaction of the tumour cells with oxygen concentration in what is called the go or grow paradigm. We reproduce in this work three different experiments, showing the main GBM structures (pseudopalisade and necrotic core formation), only changing the initial and boundary conditions. We prove that it is possible to obtain versatile mathematical tools which, together with a sound parametric analysis, allow to explain complex biological phenomena. We show the utility of this hybrid “biomimetic in vitro-in silico” platform to help to elucidate the mechanisms involved in cancer processes, to better understand the role of the different phenomena, to test new scientific hypotheses and to design new data-driven experiments.</subfield>
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    <subfield code="a">Pérez-Aliacar, M.</subfield>
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    <subfield code="a">Randelovic, T.</subfield>
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    <subfield code="a">Oliván, S.</subfield>
    <subfield code="u">Universidad de Zaragoza</subfield>
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    <subfield code="a">Fernández, L.</subfield>
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    <subfield code="a">Sanz-Herrera, J.A.</subfield>
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    <subfield code="a">Ochoa, I.</subfield>
    <subfield code="u">Universidad de Zaragoza</subfield>
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    <subfield code="a">Doweidar, M.H.</subfield>
    <subfield code="u">Universidad de Zaragoza</subfield>
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    <subfield code="a">Doblaré, M.</subfield>
    <subfield code="u">Universidad de Zaragoza</subfield>
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    <subfield code="a">Universidad de Zaragoza</subfield>
    <subfield code="b">Dpto. Anatom.Histolog.Humanas</subfield>
    <subfield code="c">Area Histología</subfield>
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    <subfield code="a">Universidad de Zaragoza</subfield>
    <subfield code="b">Dpto. Ingeniería Mecánica</subfield>
    <subfield code="c">Área Mec.Med.Cont. y Teor.Est.</subfield>
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    <subfield code="g">10, 1 (2020), 21193 [21 pp]</subfield>
    <subfield code="p">Sci. rep. (Nat. Publ. Group)</subfield>
    <subfield code="t">Scientific reports (Nature Publishing Group)</subfield>
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