Network Model for the Swelling Properties of End-Linked Linear and Star Poly(ethylene oxide) Hydrogels

Sukumar, V.; Lopina, Stephanie T.

doi:10.1021/ma0213753

Cited by 18 publications

(15 citation statements)

References 13 publications

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“…By removing now from the structure L judiciously chosen links out of the l links, the ensuing graph turns out to be a connected tree. We number then the new dangling chains (created by removing the L links) by (1, 2), (3,4), . .…”

Section: Appendix Bmentioning

confidence: 99%

“…(40) and (41) in the case of a tree structure. In the following we start to reconnect the dangling chains (1, 2), (3,4), etc. and follow the evolution of the system of eigenmodes under this operation.…”

Section: Appendix Bmentioning

confidence: 99%

“…Then the original structure has no dangling chains. In this case we perform first the steps above, and reconnect (1, 2), (3,4) . .…”

Section: Figmentioning

confidence: 99%

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Dynamics of end-linked star-polymer structures

Satmarel

Ferber

Blumen

2005

The Journal of Chemical Physics

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In this work we focus on the dynamics of macromolecular networks formed by end-linking identical polymer stars. The resulting macromolecular network can then be viewed as consisting of spacers which connect branching points (the cores of the stars). We succeed in analyzing exactly, in the framework of the generalized Gaussian model, the eigenvalue spectrum of such networks. As applications we focus on several topologies, such as regular networks and dendrimers; furthermore, we compare the results to those found for regular hyperbranched structures. In so doing, we also consider situations in which the beads of the cores differ from the beads of the spacers. The analytical procedure which we use involves an exact real-space renormalization, which allows to relate the star-network to a (much simpler) network, in which each star is reduced to its core. It turns out that the eigenvalue spectrum of the star-polymer structure consists of two parts: One follows in terms of polynomial equations from the relaxation spectrum of the corresponding renormalized structure, while the second part involves the motion of the spacer chains themselves. Finally, we show exemplarily the situation for copolymeric dendrimers, calculate their spectra, and from them their storage and the loss moduli.

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Section: Appendix Bmentioning

confidence: 99%

Section: Appendix Bmentioning

confidence: 99%

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Dynamics of end-linked star-polymer structures

Satmarel

Ferber

Blumen

2005

The Journal of Chemical Physics

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“…Different molecular compositions were tested with the final selection of PEG segments with the average molecular weight between crosslinks being about 9000. [19] Rinsing the photopatterned layer with water removed the residual uncross-linked monomer and initiates swelling the cross-linked PEG layer around the hair. Swollen PEG completely covered the polymeric hair adapting a dome-like shape, a process controlled by the surface tension and the swelling rate (Fig.…”

mentioning

confidence: 99%

Hydrogel‐Encapsulated Microfabricated Haircells Mimicking Fish Cupula Neuromast

et al. 2007

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A hydrogel‐capped hair‐cell flow microsensor, which closely mimics a superficial neuromast of a fish, is introduced. By encapsulating the hair sensor into the artificial hydrogel cupula a dramatic increase in hair‐sensor sensitivity to the oscillating and the steady flow is achieved. It opens the way toward the remote monitoring of the underwater environment by autonomous, unmanned microvehicles with self‐navigating capability.

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“…Because PEG is a nontoxic, biocompatible, water-soluble polymer that resists recognition by immune system [7,8], we selected hydrogels prepared from multi-arm PEG for nonfouling and cytophobic coating. Although there are many reports on the relation between the hydrogel's bulk properties [9][10][11] and biocompatibility, the interaction between cells and hydrogel surface is complex and poorly understood.…”

Section: Introductionmentioning

confidence: 99%

Chondrocyte spheroids on microfabricated PEG hydrogel surface and their noninvasive functional monitoring

Otsuka

Nagamura

Kaneko

et al. 2012

Science and Technology of Advanced Materials

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A two-dimensional microarray of 10 000 (100 × 100) chondrocyte spheroids was constructed with a 100 µm spacing on a micropatterned gold electrode that was coated with poly(ethylene glycol) (PEG) hydrogels. The PEGylated surface as a cytophobic region was regulated by controlling the gel structure through photolithography. In this way, a PEG hydrogel was modulated enough to inhibit outgrowth of chondrocytes from a cell adhering region in the horizontal direction, which is critical for inducing formation of three-dimensional chondrocyte aggregations (spheroids) within 24 h. We further report noninvasive monitoring of the cellular functional change at the cell membrane using a chondrocyte-based field effect transistor. This measurement is based on detection of extracellular potential change induced as a result of the interaction between extracellular matrix protein secreted from spheroid and substrate at the cell membrane. The interface potential change at the cell membrane/gate interface can be monitored during the differentiation of spheroids without any labeling materials. Our measurements of the time evolution of the interface potential provide important information for understanding the uptake kinetics for cellular differentiation.

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Network Model for the Swelling Properties of End-Linked Linear and Star Poly(ethylene oxide) Hydrogels

Cited by 18 publications

References 13 publications

Dynamics of end-linked star-polymer structures

Dynamics of end-linked star-polymer structures

Hydrogel‐Encapsulated Microfabricated Haircells Mimicking Fish Cupula Neuromast

Chondrocyte spheroids on microfabricated PEG hydrogel surface and their noninvasive functional monitoring

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