2008
DOI: 10.1103/physrevlett.101.148102
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Cell Transmembrane Receptors Determine Tissue Pattern Stability

Abstract: The analysis of biological systems requires mathematical tools that represent their complexity from the molecular scale up to the tissue level. The formation of cell aggregates by chemotaxis is investigated using Delaunay object dynamics. It is found that when cells migrate fast such that the chemokine distribution is far from equilibrium, the details of the chemokine receptor dynamics can induce an internalization driven instability of cell aggregates. The instability occurs in a parameter regime relevant for… Show more

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Cited by 20 publications
(25 citation statements)
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“…CXCR7 scavenger activity acting on the same cell that expresses CXCR4 may restrict unresponsiveness to CXCL12 to a narrow local environment not affecting the ambient concentration of the chemokine. The assumption is further supported by the notion that in vivo CXCL12 does not easily diffuse, but is locally retained with high affinity by cell surface glycosaminoglycans [58] and by the indication that cells can regulate local chemokine gradients in an autocrine way engaging their own receptors [59].Placing the findings of our study in the context of the available data on the role of the chemokine system in regulating GC B-cell movement and maturation [2,50], we propose the model shown in Fig. 6.…”
mentioning
confidence: 55%
“…CXCR7 scavenger activity acting on the same cell that expresses CXCR4 may restrict unresponsiveness to CXCL12 to a narrow local environment not affecting the ambient concentration of the chemokine. The assumption is further supported by the notion that in vivo CXCL12 does not easily diffuse, but is locally retained with high affinity by cell surface glycosaminoglycans [58] and by the indication that cells can regulate local chemokine gradients in an autocrine way engaging their own receptors [59].Placing the findings of our study in the context of the available data on the role of the chemokine system in regulating GC B-cell movement and maturation [2,50], we propose the model shown in Fig. 6.…”
mentioning
confidence: 55%
“…A suitable choice of a s is crucial to ensure this condition is physically correct when imposed as a boundary condition. When considering the matrix equation (1) in the internal region, we note that the Hamiltonian used is not Hermitian due to the kinetic energy operator. Similar to standard R-Matrix theory [19], this is complemented through the addition of a Bloch operator L 1 such that (H N +1 + L 1 ) is Hermitian.…”
Section: Methodsmentioning
confidence: 99%
“…This area is of increasing relevance due to developments in laser physics allowing high intensity pulses to be generated for ever shorter wavelengths [1,2]. The accurate description of a multi-electron field-free atomic system requires substantial computational resources that increase exponentially with the number of electrons.…”
Section: Introductionmentioning
confidence: 99%
“…This has come into reach with the recent advent of short-pulse x-ray sources and the related development of methods and instrumentation for ultrafast x-ray science [36][37][38][39][40][41][42][43][44][45][46][47][48][49][50][51][52]. Our first results on the picosecond (ps) dynamics in liquid water with time-resolved IR-pump and x-ray absorption-probe spectroscopy [53,54] were confirmed recently with the same technique [55] as will be reviewed here.…”
Section: Introductionmentioning
confidence: 99%