Science Advances · 2020 · 24 citations · 27 references
EngineeringTumor AggregatesBiological MicroenvironmentsTumor CellsOrgan-on-a-chipBiomedical EngineeringCell GrowthCellular PhysiologyTumor BiologyCell-substrate InteractionsCurrent Mathematical ModelsCancer Cell BiologyMechanical CuesMatrix BiologyMicrofluidicsRadiation OncologyBiofluid DynamicBiophysicsMechanobiologyWeak ConfinementCell BiomechanicsCell BiologyTumor MicroenvironmentMedicineTumor Growth DynamicsExtracellular MatrixMultiscale Modeling
Characterization of tumor growth dynamics is of major importance for cancer understanding. By contrast with phenomenological approaches, mechanistic modeling can facilitate disclosing underlying tumor mechanisms and lead to identification of physical factors affecting proliferation and invasive behavior. Current mathematical models are often formulated at the tissue or organ scale with the scope of a direct clinical usefulness. Consequently, these approaches remain empirical and do not allow gaining insight into the tumor properties at the scale of small cell aggregates. Here, experimental and numerical studies of the dynamics of tumor aggregates are performed to propose a physics-based mathematical model as a general framework to investigate tumor microenvironment. The quantitative data extracted from the cellular capsule technology microfluidic experiments allow a thorough quantitative comparison with in silico experiments. This dual approach demonstrates the relative impact of oxygen and external mechanical forces during the time course of tumor model progression.
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The FEniCS Project Version 1.5
Martin Sandve Alnæs, Jan Blechta, Johan Hake et al. · Department of Earth Sciences EPrints Repository · 2015 · 2K citations · Full text