Influence of individual cell motility on the 2D front roughness dynamics of tumour cell colonies

Muzzio, Nicolás Eduardo; Pasquale, Miguel Ángel; González, Pedro Horacio; Arvía, Alejandro Jorge

doi:10.1007/s10867-014-9349-9

Cited by 12 publications

(17 citation statements)

References 69 publications

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“…Diverse systems including ferroic domain walls [1][2][3][4][5][6][7][8][9][10][11], cell fronts [12,13], bacterial colonies [14], or contact lines [15] exhibit emergent structures separating different "states" or domains (i.e., different magnetization orientations in the case of ferromagnetic systems, or different polarization orientations in the case of ferroelectrics, or cells-media in cell fronts, or wet from dry in the case of contact lines), usually called interfaces. From a technological point of view, controlling interfaces is of great interest for various reasons.…”

Section: Introductionmentioning

confidence: 99%

From bulk descriptions to emergent interfaces: Connecting the Ginzburg-Landau and elastic-line models

et al. 2020

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Controlling interfaces is highly relevant from a technological point of view. However, their rich and complex behavior makes them very difficult to describe theoretically, and hence to predict. In this work, we establish a procedure to connect two levels of descriptions of interfaces: for a bulk description, we consider a two-dimensional Ginzburg-Landau model evolving with a Langevin equation, and boundary conditions imposing the formation of a rectilinear domain wall. At this level of description no assumptions need to be done over the interface, but analytical calculations are very difficult to handle, especially for disordered systems. On a different level of description, we consider a one-dimensional elastic line model evolving according to the Edwards-Wilkinson equation, which only allows one to study continuous and univalued interfaces, but which was up to now one of the most successful tools to treat interfaces analytically. To establish the connection between the bulk description and the interface description, we propose a simple method which has the advantage to be readily applicable to disordered systems. We probe the connection by numerical simulations at both levels for clean and disordered systems, and our simulations, in addition to making contact with experiments, allow us to test and provide insight to develop new analytical approaches to treat interfaces.

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Section: Introductionmentioning

confidence: 99%

From bulk descriptions to emergent interfaces: Connecting the Ginzburg-Landau and elastic-line models

et al. 2020

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“…Later, this approach was used to investigate the cell colony dynamics in a gel medium that enhanced the appearance of heterogeneities [16]. Their influence has been ascribed to spatio-temporal-dependent interactions among either cells or cells with constituents of each culture medium that determine the characteristics of individual cell motility [17]. Accordingly, the dynamic scaling analysis of 2D colony front spreading in a gel medium yields a set of exponents comparable to those expected for quenched KPZ (QKPZ) dynamics [16].…”

Section: Introductionmentioning

confidence: 99%

Spatio-temporal morphology changes in and quenching effects on the 2D spreading dynamics of cell colonies in both plain and methylcellulose-containing culture media

et al. 2016

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To deal with complex systems, microscopic and global approaches become of particular interest. Our previous results from the dynamics of large cell colonies indicated that their 2D front roughness dynamics is compatible with the standard Kardar-Parisi-Zhang (KPZ) or the quenched KPZ equations either in plain or methylcellulose (MC)-containing gel culture media, respectively. In both cases, the influence of a non-uniform distribution of the colony constituents was significant. These results encouraged us to investigate the overall dynamics of those systems considering the morphology and size, the duplication rate, and the motility of single cells. For this purpose, colonies with different cell populations (N) exhibiting quasi-circular and quasi-linear growth fronts in plain and MC-containing culture media are investigated. For small N, the average radial front velocity and its change with time depend on MC concentration. MC in the medium interferes with cell mitosis, contributes to the local enlargement of cells, and increases the distribution of spatio-temporal cell density heterogeneities. Colony spreading in MC-containing media proceeds under two main quenching effects, I and II; the former mainly depending on the culture medium composition and structure and the latter caused by the distribution of enlarged local cell domains. For large N, colony spreading occurs at constant velocity. The characteristics of cell motility, assessed by measuring their trajectories and the corresponding velocity field, reflect the effect of enlarged, slowmoving cells and the structure of the medium. Local average cell size distribution and individual cell motility data from plain and MC-containing media are qualitatively consistent with the predictions of both the extended cellular Potts models and the observed transition of the front roughness dynamics from a standard KPZ to a quenched KPZ. In this case, quenching J Biol Phys (2016) 42:477-502 DOI 10.1007

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“…showed an average colony radius displacement <R> versus t that follows an exponential law in the range from t0 up to tc, but for t > tc and <R> > <Rc>, a constant front displacement velocity (VF) regime was attained, in agreement with the departure from the log <R> versus t linear relationship (figure 3). From the exponential VF dependence, the average velocity constant k = 4.2 10 -4 min -1 was obtained [33]. In the presence of EGF, the dependence of the colony radius on t becomes more complicated than that observed for the control medium.…”

Section: Quasi-radial Coloniesmentioning

confidence: 96%

“…Likewise, the processes described for QRC take place at a size scale that would affect the QLC dynamics locally. The increase in the collective behavior of HeLa cell displacement with the size of QRCs should be mainly attributed to a crowding effect [33]. The latter is enhanced in QLCs due to space restrictions [55], which only exhibit a constant VF regime.…”

Section: Individual Cell Motility Behavior From Qlcsmentioning

confidence: 97%

Morphology and dynamics of tumor cell colonies propagating in epidermal growth factor supplemented media

Muzzio¹,

Carballido²,

Pasquale³

et al. 2018

Phys. Biol.

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The epidermal growth factor (EGF) plays a key role in physiological and pathological processes. This work reports on the influence of EGF concentration (c ) on the modulation of individual cell phenotype and cell colony kinetics with the aim of perturbing the colony front roughness fluctuations. For this purpose, HeLa cell colonies that remain confluent along the whole expansion process with initial quasi-radial geometry and different initial cell populations, as well as colonies with initial quasi-linear geometry and large cell population, are employed. Cell size and morphology as well as its adhesive characteristics depend on c. Quasi-radial colonies (QRC) expansion kinetics in EGF-containing medium exhibits a complex behavior. Namely, at the first stages of growth, the average QRC radius evolution can be described by a t diffusion term coupled with exponential growth kinetics up to a critical time, and afterwards a growth regime approaching constant velocity. The extension of each regime depends on c and colony history. In the presence of EGF, the initial expansion of quasi-linear colonies (QLCs) also exhibits morphological changes at both the cell and the colony levels. In these cases, the cell density at the colony border region becomes smaller than in the absence of EGF and consequently, the extension of the effective rim where cell duplication and motility contribute to the colony expansion increases. QLC front displacement velocity increases with c up to a maximum value in the 2-10 ng ml range. Individual cell velocity is increased by EGF, and an enhancement in both the persistence and the ballistic characteristics of cell trajectories can be distinguished. For an intermediate c collective cell displacements contribute to the roughening of the colony contours. This global dynamics becomes compatible with the standard Kardar-Parisi-Zhang growth model, although a faster colony roughness saturation in EGF-containing medium than in the control medium is observed.

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Influence of individual cell motility on the 2D front roughness dynamics of tumour cell colonies

Cited by 12 publications

References 69 publications

From bulk descriptions to emergent interfaces: Connecting the Ginzburg-Landau and elastic-line models

From bulk descriptions to emergent interfaces: Connecting the Ginzburg-Landau and elastic-line models

Spatio-temporal morphology changes in and quenching effects on the 2D spreading dynamics of cell colonies in both plain and methylcellulose-containing culture media

Morphology and dynamics of tumor cell colonies propagating in epidermal growth factor supplemented media

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