Application of spherical harmonics analysis on LBS particles and LBS fragments

Zhao, Budi; Wei, Deheng; Wang, Jian Feng

doi:10.1051/epjconf/201714005002

Cited by 3 publications

(3 citation statements)

References 10 publications

(10 reference statements)

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“…Truncation of the representation at a certain l max therefore leads to a representation of a smoothed version of the original morphology, where higher-frequency features are filtered out (figure 1 d ). Translation invariance is achieved by omitting the l = 0 coefficient, scale invariance is achieved by dividing all coefficients by V −(1/3) where V is the volume [27], and rotational invariance is achieved by transforming to a new representation, { D l } l >0 , withDl=∑i∈false(x,y,zfalse)∑m=0lcl,imcl,im∗,analogous to how rotational invariance can be achieved by extracting the power spectrum from Fourier descriptors of two-dimensional cell shapes [15]. There are two key problems with the descriptor in its current form, and we made two modifications to remedy these.…”

Section: Resultsmentioning

confidence: 99%

Section: T Cell Shape Is Low-dimensionalmentioning

confidence: 99%

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T cell morphodynamics reveal periodic shape oscillations in three-dimensional migration

Cavanagh

Kempe

Mazalo

et al. 2022

J. R. Soc. Interface.

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T cells use sophisticated shape dynamics (morphodynamics) to migrate towards and neutralize infected and cancerous cells. However, there is limited quantitative understanding of the migration process in three-dimensional extracellular matrices (ECMs) and across timescales. Here, we leveraged recent advances in lattice light-sheet microscopy to quantitatively explore the three-dimensional morphodynamics of migrating T cells at high spatio-temporal resolution. We first developed a new shape descriptor based on spherical harmonics, incorporating key polarization information of the uropod. We found that the shape space of T cells is low-dimensional. At the behavioural level, run-and-stop migration modes emerge at approximately 150 s, and we mapped the morphodynamic composition of each mode using multiscale wavelet analysis, finding ‘stereotyped’ motifs. Focusing on the run mode, we found morphodynamics oscillating periodically (every approx. 100 s) that can be broken down into a biphasic process: front-widening with retraction of the uropod, followed by a rearward surface motion and forward extension, where intercalation with the ECM in both of these steps likely facilitates forward motion. Further application of these methods may enable the comparison of T cell migration across different conditions (e.g. differentiation, activation, tissues and drug treatments) and improve the precision of immunotherapeutic development.

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Section: Resultsmentioning

confidence: 99%

Section: T Cell Shape Is Low-dimensionalmentioning

confidence: 99%

T cell morphodynamics reveal periodic shape oscillations in three-dimensional migration

Cavanagh

Kempe

Mazalo

et al. 2022

J. R. Soc. Interface.

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show abstract

“…1d). Translation invariance is achieved by omitting the l = 0 coefficient, scale invariance is achieved by dividing all coefficients by V − 1 3 where V is the volume [27], and rotational invariance is achieved by transforming to a new representation, {D l } l>0 , with (c) Cartesian coordinates of the cell surface, {x, y, z}, are mapped to the surface of a sphere, as parameterised by polar coordinates {θ, φ}. The three resulting functions {x(θ, φ), y(θ, φ), z(θ, φ)} are decomposed in terms of the spherical harmonic functions and transformed to be translation, scale and rotation invariant.…”

Section: T Cell Shape Is Low-dimensionalmentioning

confidence: 99%

T cell morphodynamics reveal periodic shape oscillations in 3D migration

Cavanagh¹,

Kempe²,

Mazalo³

et al. 2022

Preprint

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T cells use sophisticated shape dynamics (morphodynamics) to migrate towards and neutralise infected and cancerous cells. However, there is limited quantitative understanding of the migration process in 3D extracellular matrices (ECMs) and across timescales. Here, we leveraged recent advances in lattice light-sheet microscopy to quantitatively explore the 3D morphodynamics of migrating T cells at high spatiotemporal resolution. We first developed a new shape descriptor based on spherical harmonics, incorporating key polarisation information of the uropod. We found that the shape space of T cells is low-dimensional. At the behavioural level, run-and-stop migration modes emerge at ∼150 s, and we mapped the morphodynamic composition of each mode using multiscale wavelet analysis, finding 'stereotyped' motifs. Focusing on the run mode, we found morphodynamics oscillating periodically (every ∼100 s) that can be broken down into a biphasic process: front-widening with retraction of the uropod, followed by a rearward surface motion and forward extension, where intercalation with the ECM in both of these steps likely facilitates forward motion. Further application of these methods may enable the comparison of T cell migration across different conditions (e.g. differentiation, activation, tissues, and drug treatments), and improve the precision of immunotherapeutic development.

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Determining shape of strawberry crops with spherical harmonics

Louedec¹,

Cielniak²

2020

UK-RAS Conference for PhD and Early Career Researchers Proceedings

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In this paper, a grounding framework is proposed that combines unsupervised and supervised grounding by extending an unsupervised grounding model with a mechanism to learn from explicit human teaching. To investigate whether explicit teaching improves the sample efficiency of the original model, both models are evaluated through an interaction experiment between a human tutor and a robot in which synonymous shape, color, and action words are grounded through geometric object characteristics, color histograms, and kinematic joint features. The results show that explicit teaching improves the sample efficiency of the unsupervised baseline model.

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Application of spherical harmonics analysis on LBS particles and LBS fragments

Cited by 3 publications

References 10 publications

T cell morphodynamics reveal periodic shape oscillations in three-dimensional migration

T cell morphodynamics reveal periodic shape oscillations in three-dimensional migration

T cell morphodynamics reveal periodic shape oscillations in 3D migration

Determining shape of strawberry crops with spherical harmonics

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