Phenotypes of Vascular Flow Networks

Ronellenfitsch, Henrik; Katifori, Eleni

doi:10.1103/physrevlett.123.248101

Cited by 51 publications

(56 citation statements)

References 40 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Using this approach we prevent shunting and the generation of spanning trees, which is caused by the typical 'single source/multiple sinks' setting. Further, using this ansatz one also prevents accidentally partitioning the graph which can happen when realizing the sink-source configurations one by one [3]. We find this ansatz in particular fitting to model the liver lobule system, as sinusoids are fenestrated structures (meaning the vessel wall is perforated).…”

Section: Adaptation Dynamics Of Intertwined Vessel Systemsmentioning

confidence: 97%

“…Here B designates the incidence matrix and C is a diagonal matrix with c e on the diagonal. Combining equations (3) and (4) one finds the transformation between the sinks/sources and the potentials as:…”

Section: A Fundamentals Of Linear Networkmentioning

confidence: 99%

“…This For experimental validation of (D12) it will be necessary to know the networks vessel radii as well as the sink/source pattern (although it may be sufficient to know where the system's source is and to consider every other node as sink). Considering Y-branchings of low sink/source value (points of negligible secretion/leakage) such that |a e r * , 3 e | 1, further setting the index for the largest vessel to zero ( and accordingly increasing for the other vessel pieces at the branching) may write, a 0 r * 3 0 = a 1 r * 3 1 + a 2 r * 3…”

Section: Appendix B: Uncorrelated and Coupled Flow Fluctuationsmentioning

confidence: 99%

“…On the other hand, long-term effects e.g. due to metabolic changes may manifest in permanent diameter changes [2], usually leaving the vessel structure with a trade-off between efficiency and redundancy [3]. Particular focus has been directed to the long-term remodeling of the capillary plexus and other rudimentary transport systems in the early developmental stages of organisms, i.e.…”

Section: Introductionmentioning

confidence: 99%

“…On the other hand we observe the emergence of a new sharp transition towards a loopy state when there is attraction between the two networks. Unfortunately few metrics provide the means to fit or estimate the applied parameters of adaptation models for real systems, even though time-lapse experiments [7], counting pruning events and topology analysis on pruned structures [3,37,38] allow for qualitative insights into the mechanism at hand for certain model organisms. Yet there has been no proposal to our knowledge to quantitatively acquire or fit the model parameters from real, pruned network structures.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

How to Pare a Pair: Topology Control and Pruning in Intertwined Complex Networks

Kramer

Modes

2019

Preprint

View full text Add to dashboard Cite

Recent work on self-organized remodelling of vasculature in slimemold, leaf venation systems and vessel systems in vertebrates has put forward a plethora of potential adaptation mechanisms. All these share the underlying hypothesis of a flow-driven machinery, meant to prune primary plexi in order to optimize the system's dissipation, flow uniformity, or more, with different versions of constraints. Nevertheless, the influence of environmental factors on the long-term adaptation dynamics as well as the networks structure and function have not been fully understood. Therefore, interwoven capillary systems such as found in the liver, kidney and pancreas, present a novel challenge and key opportunity regarding the field of coupled distribution networks. We here present an advanced version of the discrete Hu-Cai model, coupling two spatial networks in 3D. We show that spatial coupling of two flow-adapting networks can control the onset of topological complexity given the system is exposed to shortterm flow fluctuations. Further, our approach results in an alternative form of Murray's law, which incorporates local vessel interactions and flow interactions. This scaling law allows for the estimation of the parameters in lumped parameter models and respective experimentally acquired network skeletons.

show abstract

Section: Adaptation Dynamics Of Intertwined Vessel Systemsmentioning

confidence: 97%

Section: A Fundamentals Of Linear Networkmentioning

confidence: 99%

Section: Appendix B: Uncorrelated and Coupled Flow Fluctuationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

How to Pare a Pair: Topology Control and Pruning in Intertwined Complex Networks

Kramer

Modes

2019

Preprint

View full text Add to dashboard Cite

show abstract

Viscous Fingering as a Rapid 3D Pattering Technique for Engineering Cell‐Laden Vascular‐Like Constructs

Tsai

Wei

Fang

et al. 2021

Adv Healthcare Materials

View full text Add to dashboard Cite

Tissues are much larger than the diffusion limit distance, so rapidly providing blood vessels to supply embedded cells inside tissues with sufficient nutrients and oxygen is regarded as a major strategy for the success of bioengineered large and thick tissue constructs. Here, a patterning technique, viscous fingering, is developed to bioengineer vascularized-like tissues within a few minutes. By controlling viscosity, flow rate, and the volume of photo-cross-linkable prepolymer, macro-and microscale vascular network structures can be precisely engineered using the Hele-Shaw cell that is designed in this study. After cross-linking, a vascular-like gel with fingering structures is formed between the bottom and top base gels, creating a sandwich-like structure. Cells can be incorporated into the fingers, bases, or both gels. The spreading and growth direction of the embedded cells are successfully controlled and guided by manipulating the physical properties of the fingering and base gels individually. Moreover, fingering is generated, connected, and surrounded prepared cell-laden microgels in base prepolymers to form prevascularized tissue-like constructs. Taken together, the 3D cell patterning technique extends the potential for modeling and fabricating large and stackable vascularized tissue-like constructs for both ex vivo and in vivo applications.

show abstract