Kinetic Signature of Fractal-like Filament Networks Formed by Orientational Linear Epitaxy

Hwang, Wonmuk; Eryilmaz, Esma

doi:10.1103/physrevlett.113.025502

Cited by 6 publications

(20 citation statements)

References 34 publications

(70 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…To achieve this goal, we have been developing a program named CAFE (Computer Aided Feature Extraction). It originated from an application mainly to quantify filaments in 2D images (Hwang and Eryilmaz, 2014 ). A distinct feature of CAFE is its synergy between image analysis and model building.…”

Section: New Tools For Addressing An Old Model Organizermentioning

confidence: 99%

Midbrain-Hindbrain Boundary Morphogenesis: At the Intersection of Wnt and Fgf Signaling

et al. 2017

Self Cite

View full text Add to dashboard Cite

A constriction in the neural tube at the junction of the midbrain and hindbrain is a conserved feature of vertebrate embryos. The constriction is a defining feature of the midbrain-hindbrain boundary (MHB), a signaling center that patterns the adjacent midbrain and rostral hindbrain and forms at the junction of two gene expression domains in the early neural plate: an anterior otx2/wnt1 positive domain and a posterior gbx/fgf8 positive domain. otx2 and gbx genes encode mutually repressive transcription factors that create a lineage restriction boundary at their expression interface. Wnt and Fgf genes form a mutually dependent feedback system that maintains their expression domains on the otx2 or gbx side of the boundary, respectively. Constriction morphogenesis occurs after these conserved gene expression domains are established and while their mutual interactions maintain their expression pattern; consequently, mutant studies in zebrafish have led to the suggestion that constriction morphogenesis should be considered a unique phase of MHB development. We analyzed MHB morphogenesis in fgf8 loss of function zebrafish embryos using a reporter driven by the conserved wnt1 enhancer to visualize anterior boundary cells. We found that fgf8 loss of function results in a re-activation of wnt1 reporter expression posterior to the boundary simultaneous with an inactivation of the wnt1 reporter in the anterior boundary cells, and that these events correlate with relaxation of the boundary constriction. In consideration of other results that correlate the boundary constriction with Wnt and Fgf expression, we propose that the maintenance of an active Wnt-Fgf feedback loop is a key factor in driving the morphogenesis of the MHB constriction.

show abstract

Section: New Tools For Addressing An Old Model Organizermentioning

confidence: 99%

Midbrain-Hindbrain Boundary Morphogenesis: At the Intersection of Wnt and Fgf Signaling

et al. 2017

Self Cite

View full text Add to dashboard Cite

show abstract

“…This shows that the on-lattice model with limited-orientation presented by Kooi [27] captures the essential physics of the more general case with arbitrary orientations that is presented here. It is interesting to note that the cross sections shown in Figure 9 exhibit similartiy to snapshots of simulations for the case of 1D growth in a 2D domain [10,11]. The problems studied by these authors belong to the same class of problem as the work studied in this contribution; (d g )-dimensional growth within a d g + 1-dimensional space.…”

Section: Space Filling By Growing Sheets With Continuous Nucleationmentioning

confidence: 59%

“…The problems studied by these authors belong to the same class of problem as the work studied in this contribution; (d g )-dimensional growth within a d g + 1-dimensional space. An interesting subject for future work is the verification of the scaling law for the volume of cells given by Krapivsky and Ben-Naim for 2D growth in 3D [11] and the extension of the mean-field theory of Hwang and Eryilmaz to 2D growth in 3D [10].…”

Section: Space Filling By Growing Sheets With Continuous Nucleationmentioning

confidence: 97%

See 1 more Smart Citation

Filling of three-dimensional space by two-dimensional sheet growth

et al. 2015

View full text Add to dashboard Cite

Models of three-dimensional space filling based on growth of two-dimensional sheets are proposed. Beginning from planar Eden-style growth of sheets, additional growth modes are introduced. These enable the sheets to form layered or disordered structures. The growth modes can also be combined. An off-lattice kinetic Monte-Carlo-based computer algorithm is presented and used to study the kinetics of the new models and the resulting structures. For the first time, it is possible to study space filling by two-dimensional growth in a three-dimensional domain with arbitrarily-oriented sheets; the results agree with previously-published models where the sheets are only able to grow in a limited set of directions. The introduction of a bifurcation mechanism gives rise to complex disordered structures that are of interest as model structures for the meso-structure of calciumsilicate-hydrate in hardened cement paste.

show abstract

“…For studying initially formed fibrils or protofibrils, atomic force microscopy (AFM) is an effective approach. 8,9,23,30 AFM has been used for assembly of different collagen types including type-I, 5,13,17,21,23,30,37,52 type-II, 10 and type-V, 42 and also to visualize mature heterotypic fibrils including type-I/III 1 and type-I/V. 42 However, to our knowledge, the formation of heterotypic fibrils has not been analyzed previously at the level of individual fibrils.…”

Section: Introductionmentioning

confidence: 99%

In Vitro Analysis of the Co-Assembly of Type-I and Type-III Collagen

2016

Self Cite

View full text Add to dashboard Cite

An important step towards achieving functional diversity of biomimetic surfaces is to better understand the co-assembly of the extracellular matrix components. For this, we study type-I and type-III collagen, the two major collagen types in the extracellular matrix. By using atomic force microscopy, custom image analysis, and kinetic modeling, we study their homotypic and heterotypic assembly. We find that the growth rate and thickness of heterotypic fibrils decrease as the fraction of type-III collagen increases, but the fibril nucleation rate is maximal at an intermediate fraction of type-III. This is because the more hydrophobic type-I collagen nucleates fast and grows in both longitudinal and lateral directions, whereas more hydrophilic type-III limits lateral growth of fibrils, driving more monomers to nucleate additional fibrils. This demonstrates that subtle differences in physico-chemical properties of similar molecules can be used to fine-tune their assembly behavior.

show abstract

Kinetic Signature of Fractal-like Filament Networks Formed by Orientational Linear Epitaxy

Cited by 6 publications

References 34 publications

Midbrain-Hindbrain Boundary Morphogenesis: At the Intersection of Wnt and Fgf Signaling

Midbrain-Hindbrain Boundary Morphogenesis: At the Intersection of Wnt and Fgf Signaling

Filling of three-dimensional space by two-dimensional sheet growth

In Vitro Analysis of the Co-Assembly of Type-I and Type-III Collagen

Contact Info

Product

Resources

About