Francisco Montans Leal’s research while affiliated with Escuela Universitaria de Ingeniería Técnica Industrial de Bilbao and other places

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Publications (5)


Multiscale model with relaxed boundary conditions for metamaterial calculations
  • Article

May 2024

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1 Read

Software Impacts

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Luis Saucedo-Mora

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Miguel Ángel Sanz Gómez

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Francisco Montans Leal

Figure 7: Graphical representation of the threshold function i t Pme, Equation (8). The arrows point the oxygen and cell density growth related to the values of i t w 1 and i t w 2 = i t w 2ρ , respectively.
Figure 8: Scheme of the surroundings of a central element in 2D, α, with the eight possible directions of destinationˆndestinationˆ destinationˆn β α , in green. The final one, d α t , is depicted in red
Figure 10: Evolution of the cell population and the oxygen field after 10 days. Rows 1 and 2 show the final configuration for the minimum and maximum values, respectively, of the genotypic variable indicated on the top of each column. f) and g) are the initial and final configurations of the reference case.
Figure 12: Individual migration. Evolution of the oxygen field and phenotypic plasticity during migration. Centered gaussian distribution of oxygen. PP: potentially proliferative cells, QC: quiescent cells, MC: migratory cells.
Figure 13: Individual migration. Evolution of the oxygen field and phenotypic plasticity during migration. Lateral gaussian distribution of oxygen. PP: potentially proliferative cells, QC: quiescent cells, MC: migratory cells.

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A simple agent-based hybrid model to simulate the biophysics of glioblastoma multiforme cells and the concomitant evolution of the oxygen field
  • Preprint
  • File available

November 2023

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31 Reads

Background and objectives: Glioblastoma multiforme (GBM) is one of the most aggressive cancers of the central nervous system. It is characterized by a high mitotic activity and an infiltrative ability of the glioma cells, neovascularization and necrosis. GBM evolution entails the continuous interplay between heterogeneous cell populations, chemotaxis, and physical cues through different scales. In this work, an agent-based hybrid model is proposed to simulate the coupling of the multiscale biological events involved in the GBM invasion, specifically the individual and collective migration of GBM cells and the concurrent evolution of the oxygen field and phenotypic plasticity. An asset of the formulation is that it is conceptually and computationally simple but allows to reproduce the complexity and the progression of the GBM micro-environment at cell and tissue scales simultaneously. Methods: The migration is reproduced as the result of the interaction between every single cell and its micro-environment. The behavior of each individual cell is formulated through genotypic variables whereas the cell micro-environment is modeled in terms of the oxygen concentration and the cell density surrounding each cell. The collective behavior is formulated at a cellular scale through a flocking model. The phenotypic plasticity of the cells is induced by the micro-environment conditions, considering five phenotypes. Results: The model has been contrasted by benchmark problems and experimental tests showing the ability to reproduce different scenarios of glioma cell migration. In all cases, the individual and collective cell migration and the coupled evolution of both the oxygen field and phenotypic plasticity have been properly simulated. This simple formulation allows to mimic the formation of relevant hallmarks of glioblastoma multiforme, such as the necrotic cores, and to reproduce experimental evidences related to the mitotic activity in pseudopalisades. Conclusions: In the collective migration, the survival of the clusters prevails at the expense of cell mitosis, regardless of the size of the groups, which delays the formation of necrotic foci and reduces the rate of oxygen consumption.

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3DMECMET: a package to fill with metamaterials CAD designs and export them to structural calculation softwares and 3D printable formats.

July 2023

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25 Reads

Metamaterials are gaining interest with the emergence of the additive manufacturing technologies. Those implies a capability to perform local mechanical optimizations of the designs, as well as versatile external geometries of the components. The software presented is capable to fill a complex design in a .stl format with a given metamaterial, achieving a graded stiffness. The software developed is also configured to create the final design in different formats to perform a virtual test of the element in a commercial FEM, to edit the design in a CAD software, and to export it in a 3D printable format.