Model-Based Prediction of an Effective Adhesion Parameter Guiding Multi-Type Cell Segregation

The process of cell-sorting is essential for development and maintenance of tissues. Mathematical modeling can provide the means to analyze the consequences of different hypotheses about the underlying mechanisms. With the Differential Adhesion Hypothesis, Steinberg proposed that cell-sorting is det...

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Autores principales:	Philipp Rossbach, Hans-Joachim Böhme, Steffen Lange, Anja Voss-Böhme
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	differential adhesion hypothesis differential migration model cell sorting cellular automaton statistical learning methods high heterotypic interfacial tension hypothesis Science Q Astrophysics QB460-466 Physics QC1-999
Acceso en línea:	https://doaj.org/article/c6859e3500ed40b29cd48d06d128f274
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spelling	oai:doaj.org-article:c6859e3500ed40b29cd48d06d128f2742021-11-25T17:29:08ZModel-Based Prediction of an Effective Adhesion Parameter Guiding Multi-Type Cell Segregation10.3390/e231113781099-4300https://doaj.org/article/c6859e3500ed40b29cd48d06d128f2742021-10-01T00:00:00Zhttps://www.mdpi.com/1099-4300/23/11/1378https://doaj.org/toc/1099-4300The process of cell-sorting is essential for development and maintenance of tissues. Mathematical modeling can provide the means to analyze the consequences of different hypotheses about the underlying mechanisms. With the Differential Adhesion Hypothesis, Steinberg proposed that cell-sorting is determined by quantitative differences in cell-type-specific intercellular adhesion strengths. An implementation of the Differential Adhesion Hypothesis is the Differential Migration Model by Voss-Böhme and Deutsch. There, an effective adhesion parameter was derived analytically for systems with two cell types, which predicts the asymptotic sorting pattern. However, the existence and form of such a parameter for more than two cell types is unclear. Here, we generalize analytically the concept of an effective adhesion parameter to three and more cell types and demonstrate its existence numerically for three cell types based on in silico time-series data that is produced by a cellular-automaton implementation of the Differential Migration Model. Additionally, we classify the segregation behavior using statistical learning methods and show that the estimated effective adhesion parameter for three cell types matches our analytical prediction. Finally, we demonstrate that the effective adhesion parameter can resolve a recent dispute about the impact of interfacial adhesion, cortical tension and heterotypic repulsion on cell segregation.Philipp RossbachHans-Joachim BöhmeSteffen LangeAnja Voss-BöhmeMDPI AGarticledifferential adhesion hypothesisdifferential migration modelcell sortingcellular automatonstatistical learning methodshigh heterotypic interfacial tension hypothesisScienceQAstrophysicsQB460-466PhysicsQC1-999ENEntropy, Vol 23, Iss 1378, p 1378 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	differential adhesion hypothesis differential migration model cell sorting cellular automaton statistical learning methods high heterotypic interfacial tension hypothesis Science Q Astrophysics QB460-466 Physics QC1-999
spellingShingle	differential adhesion hypothesis differential migration model cell sorting cellular automaton statistical learning methods high heterotypic interfacial tension hypothesis Science Q Astrophysics QB460-466 Physics QC1-999 Philipp Rossbach Hans-Joachim Böhme Steffen Lange Anja Voss-Böhme Model-Based Prediction of an Effective Adhesion Parameter Guiding Multi-Type Cell Segregation
description	The process of cell-sorting is essential for development and maintenance of tissues. Mathematical modeling can provide the means to analyze the consequences of different hypotheses about the underlying mechanisms. With the Differential Adhesion Hypothesis, Steinberg proposed that cell-sorting is determined by quantitative differences in cell-type-specific intercellular adhesion strengths. An implementation of the Differential Adhesion Hypothesis is the Differential Migration Model by Voss-Böhme and Deutsch. There, an effective adhesion parameter was derived analytically for systems with two cell types, which predicts the asymptotic sorting pattern. However, the existence and form of such a parameter for more than two cell types is unclear. Here, we generalize analytically the concept of an effective adhesion parameter to three and more cell types and demonstrate its existence numerically for three cell types based on in silico time-series data that is produced by a cellular-automaton implementation of the Differential Migration Model. Additionally, we classify the segregation behavior using statistical learning methods and show that the estimated effective adhesion parameter for three cell types matches our analytical prediction. Finally, we demonstrate that the effective adhesion parameter can resolve a recent dispute about the impact of interfacial adhesion, cortical tension and heterotypic repulsion on cell segregation.
format	article
author	Philipp Rossbach Hans-Joachim Böhme Steffen Lange Anja Voss-Böhme
author_facet	Philipp Rossbach Hans-Joachim Böhme Steffen Lange Anja Voss-Böhme
author_sort	Philipp Rossbach
title	Model-Based Prediction of an Effective Adhesion Parameter Guiding Multi-Type Cell Segregation
title_short	Model-Based Prediction of an Effective Adhesion Parameter Guiding Multi-Type Cell Segregation
title_full	Model-Based Prediction of an Effective Adhesion Parameter Guiding Multi-Type Cell Segregation
title_fullStr	Model-Based Prediction of an Effective Adhesion Parameter Guiding Multi-Type Cell Segregation
title_full_unstemmed	Model-Based Prediction of an Effective Adhesion Parameter Guiding Multi-Type Cell Segregation
title_sort	model-based prediction of an effective adhesion parameter guiding multi-type cell segregation
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/c6859e3500ed40b29cd48d06d128f274
work_keys_str_mv	AT philipprossbach modelbasedpredictionofaneffectiveadhesionparameterguidingmultitypecellsegregation AT hansjoachimbohme modelbasedpredictionofaneffectiveadhesionparameterguidingmultitypecellsegregation AT steffenlange modelbasedpredictionofaneffectiveadhesionparameterguidingmultitypecellsegregation AT anjavossbohme modelbasedpredictionofaneffectiveadhesionparameterguidingmultitypecellsegregation
_version_	1718412310073049088

Model-Based Prediction of an Effective Adhesion Parameter Guiding Multi-Type Cell Segregation

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