Cells competition in tumor growth poroelasticity

Fraldi, Massimiliano; Carotenuto, Angelo Rosario

doi:10.1016/j.jmps.2017.12.015

Cited by 52 publications

(50 citation statements)

References 78 publications

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“…Here, this is explicitly coupled with the dynamics of GPCRs and MRPs activation, apt to describe the growth of active domains on the membrane surface by means of flow rules that include the receptor-transporter interplay. This dynamics is modelled according to a theory of interspecific growth mechanics recently proposed by Fraldi and Carotenuto (2018) , Carotenuto et al (2018) and applied to model the growth of solid tumors. Here, the same framework is adapted to model the kinetics and diffusion of transmembrane proteins triggered by ligand-binding and mediated by the membrane elasticity.…”

Section: The Biomechanical Modelmentioning

confidence: 99%

See 1 more Smart Citation

Mechanobiology predicts raft formations triggered by ligand-receptor activity across the cell membrane

Carotenuto¹,

Lunghi

Piccolo

et al. 2020

Journal of the Mechanics and Physics of Solids

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Elsevier has created a COVID-19 resource centre with free information in English and Mandarin on the novel coronavirus COVID-19. The COVID-19 resource centre is hosted on Elsevier Connect, the company's public news and information website. Elsevier hereby grants permission to make all its COVID-19-related research that is available on the COVID-19 resource centre-including this research content-immediately available in PubMed Central and other publicly funded repositories, such as the WHO COVID database with rights for unrestricted research re-use and analyses in any form or by any means with acknowledgement of the original source. These permissions are granted for free by Elsevier for as long as the COVID-19 resource centre remains active.

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Section: The Biomechanical Modelmentioning

confidence: 99%

“…This factor is calculated by considering that the density of the heterogeneous medium in a certain configuration is the sum of the true densities weighted by the respective fractions, i.e. ρ = l φ l + i n i (see Fraldi and Carotenuto, 2018 ),…”

Section: Membrane Remodelling Due To Gpcr Growth Via Densificationmentioning

confidence: 99%

Mechanobiology predicts raft formations triggered by ligand-receptor activity across the cell membrane

Carotenuto¹,

Lunghi

Piccolo

et al. 2020

Journal of the Mechanics and Physics of Solids

Self Cite

View full text Add to dashboard Cite

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“…To complete our description, we need to specify a relation linking cell volume fraction to interstitial fluid velocity. For this, we use a poroelastic framework, whose applicability to describe the mechanical response of biological tissues has been thoroughly investigated in various contexts (31, 32). Taking a homogeneous tissue as a reference state, poroelastic properties imply that a local change of the cell volume fraction creates elastic stresses in the cellular phase which translate to gradients of extracellular fluid pressure p.…”

Section: Resultsmentioning

confidence: 99%

Theory of mechanochemical patterning in biphasic biological tissues

Recho

Hallou

Hannezo

2019

Proc. Natl. Acad. Sci. U.S.A.

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The formation of self-organized patterns is key to the morphogenesis of multicellular organisms, although a comprehensive theory of biological pattern formation is still lacking. Here, we propose a minimal model combining tissue mechanics with morphogen turnover and transport to explore routes to patterning. Our active description couples morphogen reaction and diffusion, which impact cell differentiation and tissue mechanics, to a two-phase poroelastic rheology, where one tissue phase consists of a poroelastic cell network and the other one of a permeating extracellular fluid, which provides a feedback by actively transporting morphogens. While this model encompasses previous theories approximating tissues to inert monophasic media, such as Turing’s reaction–diffusion model, it overcomes some of their key limitations permitting pattern formation via any two-species biochemical kinetics due to mechanically induced cross-diffusion flows. Moreover, we describe a qualitatively different advection-driven Keller–Segel instability which allows for the formation of patterns with a single morphogen and whose fundamental mode pattern robustly scales with tissue size. We discuss the potential relevance of these findings for tissue morphogenesis.

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“…We modeled the mechanical response of cells and bacteria in the simplest way, considering the phases as inviscid fluids. Although this description is still able to qualitatively describe the experimental results, more detailed constitutive assumptions for the mechanical behavior of the phases would lead to new insights into the interactions between bacteria and TCs in the aggregate (Sciumè et al, 2013; Giverso et al, 2015; Ambrosi et al, 2017; Mascheroni et al, 2018; Fraldi and Carotenuto, 2018; Giverso and Preziosi, 2019). We also considered ideal spherical spheroids to reduce the mathematical problem to one dimension.…”

Section: Discussionmentioning

confidence: 99%

Investigating the physical effects in bacterial therapies for avascular tumors

Mascheroni

Meyer‐Hermann

Hatzikirou

2019

Preprint

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Tumor-targeting bacteria elicit anticancer effects by infiltrating hypoxic regions, releasing toxic agents and inducing immune responses. As the mechanisms of action of bacterial therapies are still to be completely elucidated, mathematical modeling could aid the understanding of the dynamical interactions between tumor cells and bacteria in different cancers. Here we propose a mathematical model for the anti-tumor activity of bacteria in tumor spheroids. We consider constant infusion and time-dependent administration of bacteria in the culture medium, and analyze the effects of bacterial chemotaxis and killing rate. We show that active bacterial migration towards tumor hypoxic regions is necessary for successful spheroid infiltration and that intermediate chemotaxis coefficients provide the smallest spheroid radii at the end of the treatment. We report on the impact of the killing rate on final spheroid composition, and highlight the emergence of spheroid size oscillations due to competing interactions between bacteria and tumor cells.

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Cells competition in tumor growth poroelasticity

Cited by 52 publications

References 78 publications

Mechanobiology predicts raft formations triggered by ligand-receptor activity across the cell membrane

Mechanobiology predicts raft formations triggered by ligand-receptor activity across the cell membrane

Theory of mechanochemical patterning in biphasic biological tissues

Investigating the physical effects in bacterial therapies for avascular tumors

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