Pattern Formation by Interacting Chemical Fronts

Lee, Kyoung J.; McCormick, W. D.; Ouyang, Qi; Swinney, Harry L.

doi:10.1126/science.261.5118.192

Cited by 361 publications

(325 citation statements)

References 17 publications

Supporting

Mentioning

305

Contrasting

Unclassified

Order By: Relevance

“…Newman has suggested that Turing-type reaction-diffusion systems known to spontaneously generate stable spatial patterns of chemical-concentration peaks and valleys could account for patterns of chondrogenesis arising from a homogeneous population of limb mesenchymal cells both in vivo and in vitro (Newman, 1988(Newman, , 1993Newman and Frisch, 1979;Newman et al, 1988;Newman and Comper, 1990;Leonard et al, 1991). Indeed chemical patterns strikingly similar to the chondrogenic patterns in limb mesenchymal cultures have been obtained experimentally in purely chemical systems (Castets et al, 1990;Lee et al, 1993).…”

Section: Region-dependent Chondrogenic Capacity Of Wing-bud Mesenchymementioning

confidence: 91%

Stage‐ and region‐dependent chondrogenesis and growth of chick wing‐bud mesenchyme in serum‐containing and defined tissue culture media

Paulsen

Chen

Pang

et al. 1994

Developmental Dynamics

View full text Add to dashboard Cite

During development, limb-bud mesenchymal cells carry out complex spatiotemporal patterns of growth and differentiation. Tissue and organ culture facilitate analysis of environmental influences on these cell behaviors, allowing their partial dissection into exogenous and endogenous components. Two factors that complicate such in vitro analyses are the heterogeneity of the cultured cells and imprecise knowledge of culture medium composition. Limb mesenchyme comprises a heterogenous cell population with important regional differences in cell type. Dividing the limb into subregions helps limit the cellular heterogeneity and using chemically defined, serum-free medium allays concerns about medium composition. In the present study, mesenchyme from different regions along the anteroposterior and proximodistal axes of stage 21-22 and stage 23-24 chick wing buds was grown in high-density microtiter cultures in chemically defined and in serum-containing medium. Fourday cultures of the various regions were compared in terms of culture morphology and the accumulation of Alcian blue-positive cartilage matrix and DNA. The results demonstrate stageand region-dependent differences in the in vitro growth, differentiation, and responsiveness of these cells. For example, mesenchyme from the distal anterior region of the wing bud exhibited lower intrinsic chondrogenic capacity and greater responsiveness to serum than other regions. Patterns of in vitro chondrogenesis also suggest that, at the stages examined, distal wing-bud mesenchyme may be less homogeneous than has been believed. A case is made for the suitability of serum-free medium for future in vitro studies of chick limb-bud mesenchyme. The results are considered in relation to the process of limb development and regional expression of pattern-related genes. 0 1994 Wiley-Liss, Inc.

show abstract

Section: Region-dependent Chondrogenic Capacity Of Wing-bud Mesenchymementioning

confidence: 91%

Stage‐ and region‐dependent chondrogenesis and growth of chick wing‐bud mesenchyme in serum‐containing and defined tissue culture media

Paulsen

Chen

Pang

et al. 1994

Developmental Dynamics

View full text Add to dashboard Cite

show abstract

“…Turing patterns in a chemical reactor were first experimentally observed by De Kepper's group in a chlorite-iodide-malonic acid (CIMA) reaction [18] and later confirmed by Ouyang and Swinney who observed striped as well as spotty patterns [53]. The chance to experimentally detect Turing structures has produced a renewed interest in these systems as shown by the large number of theoretical [35,58], computational [43,44,67] and experimental studies in the field [6,42,52].…”

Section: Introductionmentioning

confidence: 93%

Spatio-temporal organization in a morphochemical electrodeposition model: Hopf and Turing instabilities and their interplay

2014

View full text Add to dashboard Cite

In this paper, we investigate from a theoretical point of view the 2D reaction-diffusion system for electrodeposition coupling morphology and surface chemistry, presented and experimentally validated in Bozzini et al. (2013 J. Solid State Electr. 17, 467-479). We analyse the mechanisms responsible for spatio-temporal organization. As a first step, spatially uniform dynamics is discussed and the occurrence of a supercritical Hopf bifurcation for the local kinetics is proved. In the spatial case, initiation of morphological patterns induced by diffusion is shown to occur in a suitable region of the parameter space. The intriguing interplay between Hopf and Turing instability is also considered, by investigating the spatio-temporal behaviour of the system in the neighbourhood of the codimensiontwo Turing-Hopf bifurcation point. An ADI (Alternating Direction Implicit) scheme based on high-order finite differences in space is applied to obtain numerical approximations of Turing patterns at the steady state and for the simulation of the oscillating Turing-Hopf dynamics.

show abstract

“…Spatially distributed reaction networks can support a variety of different spatiotemporal nonequilibrium states, including target patterns, spiral waves and other stationary inhomogeneous states such as labyrinthine patterns and linked and knotted chemical domains 32, 33. Turing patterns in the form of stripes and spots,34 and domains in bistable chemical media with competing interactions35 have been observed in early laboratory experiments. Alternatively, the chemical patterns could be produced by fabricating domains of catalyst on a surface that promote the production of fuel from reactions in the medium 36.…”

Section: Introductionmentioning

confidence: 96%

Chemically Propelled Motors Navigate Chemical Patterns

Chen

Kapral

2018

Advanced Science

View full text Add to dashboard Cite

Very small synthetic motors that use chemical reactions to drive their motion are being studied widely because of their potential applications, which often involve active transport and dynamics on nanoscales. Like biological molecular machines, they must be able to perform their tasks in complex, highly fluctuating environments that can form chemical patterns with diverse structures. Motors in such systems can actively assemble into dynamic clusters and other unique nonequilibrium states. It is shown how chemical patterns with small characteristic dimensions may be utilized to suppress rotational Brownian motions of motors and guide them to move along prescribed paths, properties that can be exploited in applications. In systems with larger pattern length scales, domains can serve as catch basins for motors through chemotactic effects. The resulting collective motor dynamics in such confining domains can be used to explore new aspects of active particle collective dynamics or promote specific types of active self‐assembly. More generally, when chemically self‐propelled motors operate in far‐from‐equilibrium active chemical media the variety of possible phenomena and the scope of their potential applications are substantially increased.

show abstract

Pattern Formation by Interacting Chemical Fronts

Cited by 361 publications

References 17 publications

Stage‐ and region‐dependent chondrogenesis and growth of chick wing‐bud mesenchyme in serum‐containing and defined tissue culture media

Stage‐ and region‐dependent chondrogenesis and growth of chick wing‐bud mesenchyme in serum‐containing and defined tissue culture media

Spatio-temporal organization in a morphochemical electrodeposition model: Hopf and Turing instabilities and their interplay

Chemically Propelled Motors Navigate Chemical Patterns

Contact Info

Product

Resources

About