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Results: 13

1.
FIG. 10

FIG. 10. From: USE OF MULTIPLE SINGULAR VALUE DECOMPOSITIONS TO ANALYZE COMPLEX INTRACELLULAR CALCIUM ION SIGNALS.

Original and WSVD 1st EigenPixel and EigenSignal Vectors for cell 2 (left column) and cell 11 (right column).

Josue G. Martinez, et al. Ann Appl Stat. ;3(4):1467-1492.
2.
FIG. 8

FIG. 8. From: USE OF MULTIPLE SINGULAR VALUE DECOMPOSITIONS TO ANALYZE COMPLEX INTRACELLULAR CALCIUM ION SIGNALS.

Top row: Simulated data matrix (before adding noise) to be tested. Bottom row: First EigenSignal and EigenPixel curves obtained from the data matrix shown above.

Josue G. Martinez, et al. Ann Appl Stat. ;3(4):1467-1492.
3.
FIG. 2

FIG. 2. From: USE OF MULTIPLE SINGULAR VALUE DECOMPOSITIONS TO ANALYZE COMPLEX INTRACELLULAR CALCIUM ION SIGNALS.

The initial rough rectangular segmentation of cell 2 from the treated group of low hormone level and the corresponding 777 × 512 pixel-wise matrix for this rectangular region.

Josue G. Martinez, et al. Ann Appl Stat. ;3(4):1467-1492.
4.
FIG. 9

FIG. 9. From: USE OF MULTIPLE SINGULAR VALUE DECOMPOSITIONS TO ANALYZE COMPLEX INTRACELLULAR CALCIUM ION SIGNALS.

Top row: EigenPixel vectors of the original, saturated, weighted SVD (WSVD) and WSVD with no weights (WSVD-No Weight) and the relative error of the saturated and final WSVD and WSVD-No Weight EigenPixels. Bottom row: EigenSignal vectors of the original, saturated, weighted SVD (WSVD) and WSVD with no weights (WSVD-No Weight) and the corresponding error curves of the saturated and final WSVD and WSVD-No Weight EigenSignals.

Josue G. Martinez, et al. Ann Appl Stat. ;3(4):1467-1492.
5.
FIG. 7

FIG. 7. From: USE OF MULTIPLE SINGULAR VALUE DECOMPOSITIONS TO ANALYZE COMPLEX INTRACELLULAR CALCIUM ION SIGNALS.

Top: The Calcium intensity curves over the 85 minute experiment of the 131 pixels in the 131 × 512 pixel-wise matrix . Bottom: 20 randomly selected pixels from .

Josue G. Martinez, et al. Ann Appl Stat. ;3(4):1467-1492.
6.
FIG. 11

FIG. 11. From: USE OF MULTIPLE SINGULAR VALUE DECOMPOSITIONS TO ANALYZE COMPLEX INTRACELLULAR CALCIUM ION SIGNALS.

First EigenSignal vectors of the “peak” signal (left column ) and the “post peak” signal (right column) obtained from control and treated cells for the three levels of hormone: basal, low and high.

Josue G. Martinez, et al. Ann Appl Stat. ;3(4):1467-1492.
7.
FIG. 12

FIG. 12. From: USE OF MULTIPLE SINGULAR VALUE DECOMPOSITIONS TO ANALYZE COMPLEX INTRACELLULAR CALCIUM ION SIGNALS.

A scatter plot of the first and second EigenCell vectors for the “peak” region (left column) and the “post peak” region (right column). The control ‘◦’ and treated ‘+’ groups are shown for the three levels of hormone: basal, low and high.

Josue G. Martinez, et al. Ann Appl Stat. ;3(4):1467-1492.
8.
FIG. 4

FIG. 4. From: USE OF MULTIPLE SINGULAR VALUE DECOMPOSITIONS TO ANALYZE COMPLEX INTRACELLULAR CALCIUM ION SIGNALS.

Top row: Image of the first EigenPixel vector obtained from the SVD of the rough 777 × 512 pixel-wise matrix and the resulting segmentation of cell 2 after using the first EigenPixel to perform the segmentation. Bottom row: The corresponding 131 × 512 pixel-wise matrix for this new segmentation and the corresponding first EigenSignal over the 85 minute experiment.

Josue G. Martinez, et al. Ann Appl Stat. ;3(4):1467-1492.
9.
FIG. 13

FIG. 13. From: USE OF MULTIPLE SINGULAR VALUE DECOMPOSITIONS TO ANALYZE COMPLEX INTRACELLULAR CALCIUM ION SIGNALS.

Left column: Normalized and landmarked first EigenSignal vectors of the “peak” region in the control and treated cells for each of the three hormone levels: basal, low and high. Middle column: Boxplots of the peak height for the control and treated cells in each of the three hormone levels: basal, low and high. Right column: Boxplots of the area in the “peak” region for the control and treated cells in each of the three hormone levels: basal, low and high.

Josue G. Martinez, et al. Ann Appl Stat. ;3(4):1467-1492.
10.
FIG. 5

FIG. 5. From: USE OF MULTIPLE SINGULAR VALUE DECOMPOSITIONS TO ANALYZE COMPLEX INTRACELLULAR CALCIUM ION SIGNALS.

3D plot of the Ca2+ intensity for the final segmentation of cell 2 from the treated group of low hormone level, corresponding to the left panel of Figure 4. The x–y coordinates correspond to space and the vertical coordinate to time. Every fourth pixel is shown.

Josue G. Martinez, et al. Ann Appl Stat. ;3(4):1467-1492.
11.
FIG. 3

FIG. 3. From: USE OF MULTIPLE SINGULAR VALUE DECOMPOSITIONS TO ANALYZE COMPLEX INTRACELLULAR CALCIUM ION SIGNALS.

3D plot of the Ca2+ intensity in the rough segmented region of cell 2 from the treated group of low hormone level, corresponding to the left panel of Figure 2. The x–y coordinates correspond to space and the vertical coordinate to time. Every fourth pixel is shown.

Josue G. Martinez, et al. Ann Appl Stat. ;3(4):1467-1492.
12.
FIG. 6

FIG. 6. From: USE OF MULTIPLE SINGULAR VALUE DECOMPOSITIONS TO ANALYZE COMPLEX INTRACELLULAR CALCIUM ION SIGNALS.

Left: Variance explained by the first 5 components in the SVD of the pixel-wise matrix that represents one cell (11) from the control group in the high hormone treatment. Right: Variance explained by the first component in the SVD in each of the 187 cells examined in all six treatments used in the study.

Josue G. Martinez, et al. Ann Appl Stat. ;3(4):1467-1492.
13.
FIG. 1

FIG. 1. From: USE OF MULTIPLE SINGULAR VALUE DECOMPOSITIONS TO ANALYZE COMPLEX INTRACELLULAR CALCIUM ION SIGNALS.

Oxytocin-induced calcium response in myometrial cells during the first 2 minutes of the experiment. Cells were cultured in a low level of estrogen/progesterone and were treated with 10 nM TCDD for 24 hours. Cells were then loaded with the Fluo-4, washed and then stimulated with 20 nM oxytocin following identification of basal calcium levels in cells. The movie of this cell line as well as the nontreated one cultured in low hormone level are available as part of the Supplementary Materials.

Josue G. Martinez, et al. Ann Appl Stat. ;3(4):1467-1492.

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