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COMSOL Inc 2d numerical model of the dielectrophoretic chamber and sers platform
Schematic view of the microfluidic chip for <t>the</t> <t>dielectrophoretic</t> deposition of CTCs on the surface of the <t>SERS</t> platform ( a ), cross-section of the chip before assembly ( b1 ) and after placing cover plate on the top plate ( b2 ), detailed view of the microfluidic chamber with the DEP electrode under the SERS platform and counter-electrode at the top of the chamber ( c ).
2d Numerical Model Of The Dielectrophoretic Chamber And Sers Platform, supplied by COMSOL Inc, used in various techniques. Bioz Stars score: 90/100, based on 1 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
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COMSOL Inc nonlinear 2d finite element model of the endoderm and mesoderm around the aip
Geometry for computational model. (A) Bright-field and OCT images of HH stage 8+ embryo. OCT sections were taken through medial (green), mediolateral (orange) and lateral (purple) locations around the <t>AIP.</t> On each section, endoderm (blue) and cardiogenic mesoderm (red) were resolved by visual inspection. Arrows indicate orientation of each OCT section within the embryo. Scale bars: 300 μm (black); 100 μm (white). (B) OCT sections shown in A arrayed in 3D space. We consider <t>a</t> <t>2D</t> slice through the tissue. Note that the thickness of the mesoderm (red) is greater than that of the adjacent endoderm (blue). (C) 2D projection of this slice overlaid with a schematic of HH stage 8+ embryo. (D) For our model geometry, we consider an idealized 2D representation of the tissue, and both tissue layers are modeled as concentric circular rings of pseudoelastic material. We assume bilateral symmetry relative to the embryonic midline, and the model geometry includes only the yellow boxed region in C. A polar coordinate system (r, θ) has its origin at the center of the rings. See text for further details.
Nonlinear 2d Finite Element Model Of The Endoderm And Mesoderm Around The Aip, supplied by COMSOL Inc, used in various techniques. Bioz Stars score: 90/100, based on 1 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
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COMSOL Inc 2d models of the steng and dteng
Geometry for computational model. (A) Bright-field and OCT images of HH stage 8+ embryo. OCT sections were taken through medial (green), mediolateral (orange) and lateral (purple) locations around the <t>AIP.</t> On each section, endoderm (blue) and cardiogenic mesoderm (red) were resolved by visual inspection. Arrows indicate orientation of each OCT section within the embryo. Scale bars: 300 μm (black); 100 μm (white). (B) OCT sections shown in A arrayed in 3D space. We consider <t>a</t> <t>2D</t> slice through the tissue. Note that the thickness of the mesoderm (red) is greater than that of the adjacent endoderm (blue). (C) 2D projection of this slice overlaid with a schematic of HH stage 8+ embryo. (D) For our model geometry, we consider an idealized 2D representation of the tissue, and both tissue layers are modeled as concentric circular rings of pseudoelastic material. We assume bilateral symmetry relative to the embryonic midline, and the model geometry includes only the yellow boxed region in C. A polar coordinate system (r, θ) has its origin at the center of the rings. See text for further details.
2d Models Of The Steng And Dteng, supplied by COMSOL Inc, used in various techniques. Bioz Stars score: 90/100, based on 1 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
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Shaker Verlag interannual variability of the indian summer monsoon and its modeling with a zonally symmetric 2d-model
Geometry for computational model. (A) Bright-field and OCT images of HH stage 8+ embryo. OCT sections were taken through medial (green), mediolateral (orange) and lateral (purple) locations around the <t>AIP.</t> On each section, endoderm (blue) and cardiogenic mesoderm (red) were resolved by visual inspection. Arrows indicate orientation of each OCT section within the embryo. Scale bars: 300 μm (black); 100 μm (white). (B) OCT sections shown in A arrayed in 3D space. We consider <t>a</t> <t>2D</t> slice through the tissue. Note that the thickness of the mesoderm (red) is greater than that of the adjacent endoderm (blue). (C) 2D projection of this slice overlaid with a schematic of HH stage 8+ embryo. (D) For our model geometry, we consider an idealized 2D representation of the tissue, and both tissue layers are modeled as concentric circular rings of pseudoelastic material. We assume bilateral symmetry relative to the embryonic midline, and the model geometry includes only the yellow boxed region in C. A polar coordinate system (r, θ) has its origin at the center of the rings. See text for further details.
Interannual Variability Of The Indian Summer Monsoon And Its Modeling With A Zonally Symmetric 2d Model, supplied by Shaker Verlag, used in various techniques. Bioz Stars score: 90/100, based on 1 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
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Image Search Results


Schematic view of the microfluidic chip for the dielectrophoretic deposition of CTCs on the surface of the SERS platform ( a ), cross-section of the chip before assembly ( b1 ) and after placing cover plate on the top plate ( b2 ), detailed view of the microfluidic chamber with the DEP electrode under the SERS platform and counter-electrode at the top of the chamber ( c ).

Journal: Biosensors

Article Title: Dielectrophoresis-Based SERS Sensors for the Detection of Cancer Cells in Microfluidic Chips

doi: 10.3390/bios12090681

Figure Lengend Snippet: Schematic view of the microfluidic chip for the dielectrophoretic deposition of CTCs on the surface of the SERS platform ( a ), cross-section of the chip before assembly ( b1 ) and after placing cover plate on the top plate ( b2 ), detailed view of the microfluidic chamber with the DEP electrode under the SERS platform and counter-electrode at the top of the chamber ( c ).

Article Snippet: For this reason, a 2D numerical model of the dielectrophoretic chamber and SERS platform was developed in COMSOL Multiphysics 5.4a.

Techniques:

Bottom plate of the microfluidic chip for the dielectrophoretic deposition of CTCs with the SERS platform at the very center and chamber for the DEP counter-electrode and sealing ( a ); bottom plate with the DEP electrode closed with a top plate and assembled with four M3 bolts ( b ); view of the assembled microfluidic chip with a connected signal generator and PE tubing running to a syringe pump ( c ).

Journal: Biosensors

Article Title: Dielectrophoresis-Based SERS Sensors for the Detection of Cancer Cells in Microfluidic Chips

doi: 10.3390/bios12090681

Figure Lengend Snippet: Bottom plate of the microfluidic chip for the dielectrophoretic deposition of CTCs with the SERS platform at the very center and chamber for the DEP counter-electrode and sealing ( a ); bottom plate with the DEP electrode closed with a top plate and assembled with four M3 bolts ( b ); view of the assembled microfluidic chip with a connected signal generator and PE tubing running to a syringe pump ( c ).

Article Snippet: For this reason, a 2D numerical model of the dielectrophoretic chamber and SERS platform was developed in COMSOL Multiphysics 5.4a.

Techniques:

( A ) The experimental setup for deposition of CTCs on SERS platform: the AC electric filed is generated by a function generator (a), monitored with a digital oscilloscope (b) and applied to DEP electrode and counter-electrode, which are a part of the microfluidic platform (d). CTCs can be introduced into microfluidic platform via the syringe pump and PE tubing (c). The microfluidic platform in not at scale. ( B ) The experimental setup used for dielectrophoretic deposition of CTCs on the SERS platform. The DEP chip in placed on a 6-arm PCB holder. The DEP electrodes are connected to a signal generator (a) and digital oscilloscope (b). CTCs are introduced to microfluidic chip (d) via the syringe pump (c).

Journal: Biosensors

Article Title: Dielectrophoresis-Based SERS Sensors for the Detection of Cancer Cells in Microfluidic Chips

doi: 10.3390/bios12090681

Figure Lengend Snippet: ( A ) The experimental setup for deposition of CTCs on SERS platform: the AC electric filed is generated by a function generator (a), monitored with a digital oscilloscope (b) and applied to DEP electrode and counter-electrode, which are a part of the microfluidic platform (d). CTCs can be introduced into microfluidic platform via the syringe pump and PE tubing (c). The microfluidic platform in not at scale. ( B ) The experimental setup used for dielectrophoretic deposition of CTCs on the SERS platform. The DEP chip in placed on a 6-arm PCB holder. The DEP electrodes are connected to a signal generator (a) and digital oscilloscope (b). CTCs are introduced to microfluidic chip (d) via the syringe pump (c).

Article Snippet: For this reason, a 2D numerical model of the dielectrophoretic chamber and SERS platform was developed in COMSOL Multiphysics 5.4a.

Techniques: Generated

DEP electrode placed from the bottom of the SERS platform. The small diameter (5 μm in comparison to the diameter of the needle at 260 μm) results in a high electric-field gradient, which is required for effective dielectrophoretic deposition of the CTCs. ( a ) the general SEM view of the needle, ( b ) higher magnification with marked diameter of the end of the needle.

Journal: Biosensors

Article Title: Dielectrophoresis-Based SERS Sensors for the Detection of Cancer Cells in Microfluidic Chips

doi: 10.3390/bios12090681

Figure Lengend Snippet: DEP electrode placed from the bottom of the SERS platform. The small diameter (5 μm in comparison to the diameter of the needle at 260 μm) results in a high electric-field gradient, which is required for effective dielectrophoretic deposition of the CTCs. ( a ) the general SEM view of the needle, ( b ) higher magnification with marked diameter of the end of the needle.

Article Snippet: For this reason, a 2D numerical model of the dielectrophoretic chamber and SERS platform was developed in COMSOL Multiphysics 5.4a.

Techniques: Comparison

The SERS spectra of ( A ) MCF−7 and ( B ) MDA−MD−231 recorded in the pDEP−SERS device without (a) and with (b) the application of dielectrophoretic trapping of CTCs. The corresponding SEM images of ( C ) the MCF−7 and ( D ) MDA−MD−231 deposited on the surface of the SERS platform with this dielectrophoretic effect.

Journal: Biosensors

Article Title: Dielectrophoresis-Based SERS Sensors for the Detection of Cancer Cells in Microfluidic Chips

doi: 10.3390/bios12090681

Figure Lengend Snippet: The SERS spectra of ( A ) MCF−7 and ( B ) MDA−MD−231 recorded in the pDEP−SERS device without (a) and with (b) the application of dielectrophoretic trapping of CTCs. The corresponding SEM images of ( C ) the MCF−7 and ( D ) MDA−MD−231 deposited on the surface of the SERS platform with this dielectrophoretic effect.

Article Snippet: For this reason, a 2D numerical model of the dielectrophoretic chamber and SERS platform was developed in COMSOL Multiphysics 5.4a.

Techniques:

Geometry for computational model. (A) Bright-field and OCT images of HH stage 8+ embryo. OCT sections were taken through medial (green), mediolateral (orange) and lateral (purple) locations around the AIP. On each section, endoderm (blue) and cardiogenic mesoderm (red) were resolved by visual inspection. Arrows indicate orientation of each OCT section within the embryo. Scale bars: 300 μm (black); 100 μm (white). (B) OCT sections shown in A arrayed in 3D space. We consider a 2D slice through the tissue. Note that the thickness of the mesoderm (red) is greater than that of the adjacent endoderm (blue). (C) 2D projection of this slice overlaid with a schematic of HH stage 8+ embryo. (D) For our model geometry, we consider an idealized 2D representation of the tissue, and both tissue layers are modeled as concentric circular rings of pseudoelastic material. We assume bilateral symmetry relative to the embryonic midline, and the model geometry includes only the yellow boxed region in C. A polar coordinate system (r, θ) has its origin at the center of the rings. See text for further details.

Journal: Development (Cambridge, England)

Article Title: Not just inductive: a crucial mechanical role for the endoderm during heart tube assembly

doi: 10.1242/dev.073486

Figure Lengend Snippet: Geometry for computational model. (A) Bright-field and OCT images of HH stage 8+ embryo. OCT sections were taken through medial (green), mediolateral (orange) and lateral (purple) locations around the AIP. On each section, endoderm (blue) and cardiogenic mesoderm (red) were resolved by visual inspection. Arrows indicate orientation of each OCT section within the embryo. Scale bars: 300 μm (black); 100 μm (white). (B) OCT sections shown in A arrayed in 3D space. We consider a 2D slice through the tissue. Note that the thickness of the mesoderm (red) is greater than that of the adjacent endoderm (blue). (C) 2D projection of this slice overlaid with a schematic of HH stage 8+ embryo. (D) For our model geometry, we consider an idealized 2D representation of the tissue, and both tissue layers are modeled as concentric circular rings of pseudoelastic material. We assume bilateral symmetry relative to the embryonic midline, and the model geometry includes only the yellow boxed region in C. A polar coordinate system (r, θ) has its origin at the center of the rings. See text for further details.

Article Snippet: Computational model Model geometry To help interpret our tissue cutting experiments, we constructed a nonlinear 2D finite element model of the endoderm and mesoderm around the AIP using COMSOL Multiphysics (Version 3.5, COMSOL AB, Providence, RI, USA).

Techniques:

Tracking motion of endoderm and cardiogenic mesoderm around the AIP during heart tube assembly. (A) Schematic of representative HH stage 7+ embryo shown in B. Overlapping mesodermal (red arrowhead) and endodermal (blue arrowhead) fluorescent labels were injected in the lateral region of the AIP, and a single fluorescent label was placed in the endoderm at the medial point of the AIP (blue arrowhead). Embryos were cultured ex ovo and labels were tracked in time as the heart tube formed. The distance of both lateral labels from the midline (dM and dE for the mesoderm and endoderm, respectively) was measured at each time point. The length L between the two endodermal labels, and the separation distance dS between the (initially) adjacent labels in the endoderm and mesoderm were also measured. (B-D) Representative embryo after 0, 3 and 9 hours of incubation ex ovo. Red and blue tracks (and arrowheads) represent mesodermal and endodermal trajectories (and labels), respectively. Scale bar: 200 μm. (E) Distance of lateral labels from the midline (mesoderm, red line; endoderm, blue line), and separation distance between the labels (dashed black line) plotted as functions of time (n=5). (F) Endodermal stretch ratio around the AIP as a function of time (n=5). The distance between endodermal labels at 0 hour (L0) is used as the reference length. Error bars indicate s.d. During heart tube formation, the endoderm and cardiogenic mesoderm move together towards the midline, as the endoderm shortens around the AIP.

Journal: Development (Cambridge, England)

Article Title: Not just inductive: a crucial mechanical role for the endoderm during heart tube assembly

doi: 10.1242/dev.073486

Figure Lengend Snippet: Tracking motion of endoderm and cardiogenic mesoderm around the AIP during heart tube assembly. (A) Schematic of representative HH stage 7+ embryo shown in B. Overlapping mesodermal (red arrowhead) and endodermal (blue arrowhead) fluorescent labels were injected in the lateral region of the AIP, and a single fluorescent label was placed in the endoderm at the medial point of the AIP (blue arrowhead). Embryos were cultured ex ovo and labels were tracked in time as the heart tube formed. The distance of both lateral labels from the midline (dM and dE for the mesoderm and endoderm, respectively) was measured at each time point. The length L between the two endodermal labels, and the separation distance dS between the (initially) adjacent labels in the endoderm and mesoderm were also measured. (B-D) Representative embryo after 0, 3 and 9 hours of incubation ex ovo. Red and blue tracks (and arrowheads) represent mesodermal and endodermal trajectories (and labels), respectively. Scale bar: 200 μm. (E) Distance of lateral labels from the midline (mesoderm, red line; endoderm, blue line), and separation distance between the labels (dashed black line) plotted as functions of time (n=5). (F) Endodermal stretch ratio around the AIP as a function of time (n=5). The distance between endodermal labels at 0 hour (L0) is used as the reference length. Error bars indicate s.d. During heart tube formation, the endoderm and cardiogenic mesoderm move together towards the midline, as the endoderm shortens around the AIP.

Article Snippet: Computational model Model geometry To help interpret our tissue cutting experiments, we constructed a nonlinear 2D finite element model of the endoderm and mesoderm around the AIP using COMSOL Multiphysics (Version 3.5, COMSOL AB, Providence, RI, USA).

Techniques: Injection, Cell Culture, Incubation

Myosin-II-dependent contraction drives endodermal shortening around AIP. (A,B) Fluorescent labels were injected into the endoderm at medial and lateral locations around the AIP (blue arrowheads); these labels were separated by a distance L. Representative embryo cultured in 100 μM blebbistatin after 0 (A) and 3 (B) hours of incubation. After 3 hours of incubation, blebbistatin was washed out and culture was resumed. (C,D) Same embryo after 6 and 10 hours of total incubation. In this embryo, mesodermal cells adjacent to the lateral endoderm were also incidentally labeled. After wash-out, the lateral label separated into distinct mesodermal (red arrowhead) and endodermal (blue arrowhead) portions. (E) Endodermal stretch ratio around the AIP as a function of time for both blebbistatin-treated (solid line, n=4) and normal (dashed line, n=5) embryos. The distance between endodermal labels at 0 hour (L0) is used as the reference length. Error bars indicate s.d. The dashed line is identical to that shown in Fig. 2F. These results suggest that cytoskeletal contraction drives endodermal shortening around the AIP. Scale bar: 200 μm.

Journal: Development (Cambridge, England)

Article Title: Not just inductive: a crucial mechanical role for the endoderm during heart tube assembly

doi: 10.1242/dev.073486

Figure Lengend Snippet: Myosin-II-dependent contraction drives endodermal shortening around AIP. (A,B) Fluorescent labels were injected into the endoderm at medial and lateral locations around the AIP (blue arrowheads); these labels were separated by a distance L. Representative embryo cultured in 100 μM blebbistatin after 0 (A) and 3 (B) hours of incubation. After 3 hours of incubation, blebbistatin was washed out and culture was resumed. (C,D) Same embryo after 6 and 10 hours of total incubation. In this embryo, mesodermal cells adjacent to the lateral endoderm were also incidentally labeled. After wash-out, the lateral label separated into distinct mesodermal (red arrowhead) and endodermal (blue arrowhead) portions. (E) Endodermal stretch ratio around the AIP as a function of time for both blebbistatin-treated (solid line, n=4) and normal (dashed line, n=5) embryos. The distance between endodermal labels at 0 hour (L0) is used as the reference length. Error bars indicate s.d. The dashed line is identical to that shown in Fig. 2F. These results suggest that cytoskeletal contraction drives endodermal shortening around the AIP. Scale bar: 200 μm.

Article Snippet: Computational model Model geometry To help interpret our tissue cutting experiments, we constructed a nonlinear 2D finite element model of the endoderm and mesoderm around the AIP using COMSOL Multiphysics (Version 3.5, COMSOL AB, Providence, RI, USA).

Techniques: Injection, Cell Culture, Incubation, Labeling

Computational model indicates endoderm as primary contractile tissue layer. (A,A′) Deformed shape of the AIP before (A) and after (A′) cutting (same images as in Fig. 6A,B). (B-D) When contraction is specified in the endoderm only (B) and an incision is simulated at the midline (C), the cut opens as observed experimentally (D). The model AIP curls posteriorly and qualitatively matches the deformed contour of the AIP in our cutting experiments (compare white contour inside dashed red box in A with geometry in D. (E) When the endoderm contracts, the (convected) circumferential Cauchy stresses are compressive in the mesoderm and tensile in the endoderm (computed along blue line in C. (F-H) When contraction is simulated in the mesoderm only (F), the model cut (G) fails to open up (H), and the shape of the AIP is not curled posteriorly as it is in experiments. (I) In this case, the endoderm is in compression and the mesoderm is in tension (computed along red line in G). Agreement between the experiments and model in D, but not in H, indicates that the endoderm (not the mesoderm) is the primary contractile tissue layer. r is the normalized radial distance across the rings, where 0 represents the inner curvature.

Journal: Development (Cambridge, England)

Article Title: Not just inductive: a crucial mechanical role for the endoderm during heart tube assembly

doi: 10.1242/dev.073486

Figure Lengend Snippet: Computational model indicates endoderm as primary contractile tissue layer. (A,A′) Deformed shape of the AIP before (A) and after (A′) cutting (same images as in Fig. 6A,B). (B-D) When contraction is specified in the endoderm only (B) and an incision is simulated at the midline (C), the cut opens as observed experimentally (D). The model AIP curls posteriorly and qualitatively matches the deformed contour of the AIP in our cutting experiments (compare white contour inside dashed red box in A with geometry in D. (E) When the endoderm contracts, the (convected) circumferential Cauchy stresses are compressive in the mesoderm and tensile in the endoderm (computed along blue line in C. (F-H) When contraction is simulated in the mesoderm only (F), the model cut (G) fails to open up (H), and the shape of the AIP is not curled posteriorly as it is in experiments. (I) In this case, the endoderm is in compression and the mesoderm is in tension (computed along red line in G). Agreement between the experiments and model in D, but not in H, indicates that the endoderm (not the mesoderm) is the primary contractile tissue layer. r is the normalized radial distance across the rings, where 0 represents the inner curvature.

Article Snippet: Computational model Model geometry To help interpret our tissue cutting experiments, we constructed a nonlinear 2D finite element model of the endoderm and mesoderm around the AIP using COMSOL Multiphysics (Version 3.5, COMSOL AB, Providence, RI, USA).

Techniques:

Endoderm actively contracts to pull the cardiogenic mesoderm towards the midline. (A) Schematic of HH stage 7 embryo. The cardiogenic mesoderm (red) is organized as a pair of bilateral epithelia that are separated on either side of the embryonic midline and remain in close contact with the underlying endoderm (blue). (B) Schematic of HH stage 8+ embryo. As the AIP descends, the cardiogenic mesoderm moves towards the midline and fuses to begin forming the early heart tube. Dashed black lines represent the neural tube. (C) Investigators have suggested that the endoderm serves primarily as an inductive substrate for the actively crawling mesoderm (red arrows). (D) Our results suggest that the endoderm also has a distinct mechanical role in early cardiogenesis; it actively contracts (blue arrows) to pull the cardiogenic mesoderm towards the midline. Although relative motion (red arrows) occurs between the endoderm and mesoderm during this process (probably owing to collective migration), this motion is much less than the convection caused by contraction.

Journal: Development (Cambridge, England)

Article Title: Not just inductive: a crucial mechanical role for the endoderm during heart tube assembly

doi: 10.1242/dev.073486

Figure Lengend Snippet: Endoderm actively contracts to pull the cardiogenic mesoderm towards the midline. (A) Schematic of HH stage 7 embryo. The cardiogenic mesoderm (red) is organized as a pair of bilateral epithelia that are separated on either side of the embryonic midline and remain in close contact with the underlying endoderm (blue). (B) Schematic of HH stage 8+ embryo. As the AIP descends, the cardiogenic mesoderm moves towards the midline and fuses to begin forming the early heart tube. Dashed black lines represent the neural tube. (C) Investigators have suggested that the endoderm serves primarily as an inductive substrate for the actively crawling mesoderm (red arrows). (D) Our results suggest that the endoderm also has a distinct mechanical role in early cardiogenesis; it actively contracts (blue arrows) to pull the cardiogenic mesoderm towards the midline. Although relative motion (red arrows) occurs between the endoderm and mesoderm during this process (probably owing to collective migration), this motion is much less than the convection caused by contraction.

Article Snippet: Computational model Model geometry To help interpret our tissue cutting experiments, we constructed a nonlinear 2D finite element model of the endoderm and mesoderm around the AIP using COMSOL Multiphysics (Version 3.5, COMSOL AB, Providence, RI, USA).

Techniques: Migration, Convection