A mechanobiological model for tumor spheroid evolution with application to glioblastoma: A continuum multiphysics approach

Carrasco-Mantis, Ana; Ranđelović, Teodora; Castro-Abril, Héctor; Ochoa, Ignacio; Doblaré, M.; Sanz-Herrera, José A.

doi:10.1016/j.compbiomed.2023.106897

Cited by 10 publications

(2 citation statements)

References 65 publications

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“…Cells grow in alignment with the fibers and around existing vasculature, and migration is led by interactions with the microenvironment, including ECM fibers, and as cells seek out regions of higher oxygen concentration. An alternative approach applied to glioblastoma spheroid growth uses a mechanochemical model, where the ECM is modeled using a PDE that describes its diffusion towards the tumor spheroid core and its uptake by cells (Carrasco-Mantis et al, 2023b). An ODE describes nutrientdependent cell proliferation and death, and further PDEs model the mechanical properties of cells within the spheroid.…”

Section: Tumor Spheroidsmentioning

confidence: 99%

Modeling the extracellular matrix in cell migration and morphogenesis: a guide for the curious biologist

Crossley,

Johnson,

Tsingos

et al. 2024

Front. Cell Dev. Biol.

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The extracellular matrix (ECM) is a highly complex structure through which biochemical and mechanical signals are transmitted. In processes of cell migration, the ECM also acts as a scaffold, providing structural support to cells as well as points of potential attachment. Although the ECM is a well-studied structure, its role in many biological processes remains difficult to investigate comprehensively due to its complexity and structural variation within an organism. In tandem with experiments, mathematical models are helpful in refining and testing hypotheses, generating predictions, and exploring conditions outside the scope of experiments. Such models can be combined and calibrated with in vivo and in vitro data to identify critical cell-ECM interactions that drive developmental and homeostatic processes, or the progression of diseases. In this review, we focus on mathematical and computational models of the ECM in processes such as cell migration including cancer metastasis, and in tissue structure and morphogenesis. By highlighting the predictive power of these models, we aim to help bridge the gap between experimental and computational approaches to studying the ECM and to provide guidance on selecting an appropriate model framework to complement corresponding experimental studies.

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Section: Tumor Spheroidsmentioning

confidence: 99%

Modeling the extracellular matrix in cell migration and morphogenesis: a guide for the curious biologist

Crossley,

Johnson,

Tsingos

et al. 2024

Front. Cell Dev. Biol.

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“…Como se había observado previamente [3], se ha confirmado que los esferoides formados por células de la línea U-251 MG, como, sobre todo, por células extraídas de pacientes de glioblastoma (primarias), van reduciendo su tamaño con el paso del tiempo, debido a potentes fuerzas intercelulares que causan la compactación del esferoide.…”

Section: Nuestro Enfoqueunclassified

Efecto de la compactación del tumor en la penetración de células del sistema inmune

Perisé-Badía,

Bayona,

Randelovic

et al. 2023

Jorn. jovenes investig. I3A

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Systematic simulation of tumor cell invasion and migration in response to time-varying rotating magnetic field

Zhang,

Yu,

Zhang

et al. 2024

Biomech Model Mechanobiol

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Cancer invasion and migration play a pivotal role in tumor malignancy, which is a major cause of most cancer deaths. Rotating magnetic field (RMF), one of typical dynamic magnetic field, can exert substantial mechanical influence on cells. However, studying the effects of RMF on cell is challenging due to its complex parameters, such as variation of magnetic field intensity and direction. Here, we developed a systematic simulation method to explore the influence of RMF on tumor invasion and migration, including a finite element method (FEM) model and a cell-based hybrid numerical model.Coupling with the data of magnetic field from FEM, the cell-based hybrid numerical model was established to simulate the tumor cell invasion and migration. This model employed partial differential equations (PDEs) and finite difference method to depict cellular activities and solve these equations in a discrete system. PDEs were used to depict cell activities, and finite difference method was used to solve the equations in discrete system. As a result, this study provides valuable insights into the potential applications of RMF in tumor treatment, and a series of in vitro experiments were performed to verify the simulation results, demonstrating the model's reliability and its capacity to predict experimental outcomes and identify pertinent factors. Furthermore, these findings shed new light on the mechanical and chemical interplay between cells and the ECM, offering new insights and providing a novel foundation for both experimental and theoretical advancements in tumor treatment by using RMF.

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A mechanobiological model for tumor spheroid evolution with application to glioblastoma: A continuum multiphysics approach

Cited by 10 publications

References 65 publications

Modeling the extracellular matrix in cell migration and morphogenesis: a guide for the curious biologist

Modeling the extracellular matrix in cell migration and morphogenesis: a guide for the curious biologist

Efecto de la compactación del tumor en la penetración de células del sistema inmune

Systematic simulation of tumor cell invasion and migration in response to time-varying rotating magnetic field

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