Collective pulsatile expansion and swirls in proliferating tumor tissue

Understanding the dynamics of expanding biological tissues is essential to a wide range of phenomena in morphogenesis, wound healing and tumor proliferation. Increasing evidence suggests that many of the relevant phenomena originate from complex collective dynamics, inherently nonlinear, of constitu...

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Main Authors: Taeseok Daniel Yang, Hyun Kim, Changhyeong Yoon, Seung-Kuk Baek, Kyoung J Lee
Format: Article
Language:English
Published: IOP Publishing 2016-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/18/10/103032
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author Taeseok Daniel Yang
Hyun Kim
Changhyeong Yoon
Seung-Kuk Baek
Kyoung J Lee
author_facet Taeseok Daniel Yang
Hyun Kim
Changhyeong Yoon
Seung-Kuk Baek
Kyoung J Lee
author_sort Taeseok Daniel Yang
collection DOAJ
description Understanding the dynamics of expanding biological tissues is essential to a wide range of phenomena in morphogenesis, wound healing and tumor proliferation. Increasing evidence suggests that many of the relevant phenomena originate from complex collective dynamics, inherently nonlinear, of constituent cells that are physically active. Here, we investigate thin disk layers of proliferating, cohesive, monoclonal tumor cells and report the discovery of macroscopic, periodic, soliton-like mechanical waves with which cells are collectively ratcheting, as in the traveling-wave chemotaxis of dictyostelium discodium amoeba cells. The relevant length-scale of the waves is remarkably large (∼1 mm), compared to the thickness of a mono-layer tissue ( $\sim 10\,\mu {\rm{m}}$ ). During the tissue expansion, the waves are found to repeat several times with a quite well defined period of approximately 4 h. Our analyses suggest that the waves are initiated by the leading edge that actively pulls the tissue in the outward direction, while the cells within the bulk tissue do not seem to generate a strong self-propulsion. Subsequently, we demonstrate that a simple mathematical model chain of nonlinear springs that are constantly pulled in the outward direction at the leading edge recapitulates the observed phenomena well. As the areal cell density becomes too high, the tissue expansion stalls and the periodic traveling waves yield to multiple swirling vortices. Cancer cells are known to possess a broad spectrum of migration mechanisms. Yet, our finding has established a new unusual mode of tumor tissue expansion, and it may be equally applicable for many different expanding thin layers of cell tissues.
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spelling doaj.art-e4b9dff519ec48d384ae420858db83232023-08-08T14:24:33ZengIOP PublishingNew Journal of Physics1367-26302016-01-01181010303210.1088/1367-2630/18/10/103032Collective pulsatile expansion and swirls in proliferating tumor tissueTaeseok Daniel Yang0Hyun Kim1Changhyeong Yoon2Seung-Kuk Baek3Kyoung J Lee4Department of Physics, Korea University , Seoul 136-713, KoreaDepartment of Physics, Korea University , Seoul 136-713, KoreaDepartment of Physics, Korea University , Seoul 136-713, KoreaDepartment of Otolaryngology, Head and Neck Surgery, Korea University College of Medicine , Seoul, 136-705, KoreaDepartment of Physics, Korea University , Seoul 136-713, KoreaUnderstanding the dynamics of expanding biological tissues is essential to a wide range of phenomena in morphogenesis, wound healing and tumor proliferation. Increasing evidence suggests that many of the relevant phenomena originate from complex collective dynamics, inherently nonlinear, of constituent cells that are physically active. Here, we investigate thin disk layers of proliferating, cohesive, monoclonal tumor cells and report the discovery of macroscopic, periodic, soliton-like mechanical waves with which cells are collectively ratcheting, as in the traveling-wave chemotaxis of dictyostelium discodium amoeba cells. The relevant length-scale of the waves is remarkably large (∼1 mm), compared to the thickness of a mono-layer tissue ( $\sim 10\,\mu {\rm{m}}$ ). During the tissue expansion, the waves are found to repeat several times with a quite well defined period of approximately 4 h. Our analyses suggest that the waves are initiated by the leading edge that actively pulls the tissue in the outward direction, while the cells within the bulk tissue do not seem to generate a strong self-propulsion. Subsequently, we demonstrate that a simple mathematical model chain of nonlinear springs that are constantly pulled in the outward direction at the leading edge recapitulates the observed phenomena well. As the areal cell density becomes too high, the tissue expansion stalls and the periodic traveling waves yield to multiple swirling vortices. Cancer cells are known to possess a broad spectrum of migration mechanisms. Yet, our finding has established a new unusual mode of tumor tissue expansion, and it may be equally applicable for many different expanding thin layers of cell tissues.https://doi.org/10.1088/1367-2630/18/10/103032tumor tissue expansionpopulation wavesratcheting cell migrationcollective dynamicsactive mediapattern formation
spellingShingle Taeseok Daniel Yang
Hyun Kim
Changhyeong Yoon
Seung-Kuk Baek
Kyoung J Lee
Collective pulsatile expansion and swirls in proliferating tumor tissue
New Journal of Physics
tumor tissue expansion
population waves
ratcheting cell migration
collective dynamics
active media
pattern formation
title Collective pulsatile expansion and swirls in proliferating tumor tissue
title_full Collective pulsatile expansion and swirls in proliferating tumor tissue
title_fullStr Collective pulsatile expansion and swirls in proliferating tumor tissue
title_full_unstemmed Collective pulsatile expansion and swirls in proliferating tumor tissue
title_short Collective pulsatile expansion and swirls in proliferating tumor tissue
title_sort collective pulsatile expansion and swirls in proliferating tumor tissue
topic tumor tissue expansion
population waves
ratcheting cell migration
collective dynamics
active media
pattern formation
url https://doi.org/10.1088/1367-2630/18/10/103032
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