Spatial separation of bistable cell types in heterogeneous populations <ce:cross-ref id='cecref0056' refid='fn1'> <ce:sup loc='post'>*</ce:sup> </ce:cross-ref>

H. Lindhorst; M. Hussain; S. Waldherr

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Spatial separation of bistable cell types in heterogeneous populations *

机译：异质种群中双稳态细胞类型的空间分离 *

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Cellular differentiation is commonly modeled by bistable switches under the influence of a diffusive morphogen. In higher organisms, differentiation is relevant for the formation of different tissue types, which require a clear spatial separation. Cellular heterogeneity in the sensitivity to the morphogen impairs the formation of a clear boundary. We are investigating the role of intercellular communication and synchronized switching for tissue separation. We construct a spatially distributed model that combines a cellular population of bistable switches with the diffusion of a morphogen in the extracellular medium. The model is able to predict a clear separation in different tissue types despite cellular heterogeneity. Based on that model, we formulate an objective function that measures the quality of the spatial separation, and use numerical optimization to determine parameter values that yield a clear tissue boundary.

机译：细胞分化通常通过双稳态开关在扩散性吗啡原的影响下建模。在高等生物中，分化与不同组织类型的形成有关，这需要明确的空间分隔。细胞对吗啡原敏感性的异质性削弱了清晰边界的形成。我们正在研究细胞间通讯和同步切换对组织分离的作用。我们构建了一个空间分布的模型，该模型结合了双稳态开关的细胞群与细胞外培养基中吗啡原的扩散。尽管细胞异质性，该模型仍能够预测不同组织类型中的明确分离。基于该模型，我们制定了一个目标函数，该目标函数可测量空间分隔的质量，并使用数值优化来确定产生清晰组织边界的参数值。

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《IFAC PapersOnLine》 |2015年第18期|共6页
作者
H. Lindhorst; M. Hussain; S. Waldherr;
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中图分类自动化技术、计算机技术;
关键词
Population dynamicsBistable switchDistributed systemsSynchronized switching;

机译：种群动态双稳态开关分布式系统同步开关;

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1. Spatial separation of bistable cell types in heterogeneous populations * [J] . H. Lindhorst, M. Hussain, S. Waldherr IFAC PapersOnLine . 2015,第18期

机译：异质种群中双稳态细胞类型的空间分离 *
2. Modeling protein concentrations in cycling cells using stochastic hybrid systems ? ? [J] . Zahra Vahdat, Zikai Xu, Abhyudai Singh IFAC PapersOnLine . 2021,第9期

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3. Extraction of Physiological State Functions in Heterogeneous Cell Population Models * * The authors of this paper gratefully acknowledge the financial support provided by the DFG (German Research Foundation) for this research work (grant WA2965/1-1). [J] . Mubashir Hussain, Steffen Waldherr IFAC PapersOnLine . 2016,第26期

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4. Spatial separation of bistable cell types in heterogeneous populations [C] . H. Lindhorst, M. Hussain, S. Waldherr IFAC Conference on Analysis and Control of Chaotic Systems . 2016

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Spatial separation of bistable cell types in heterogeneous populations *

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