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Figure2.zip
ZIP Archive - 16.7 MB - Feb 3, 2023 - 12 DownloadsMD5: b6d0242f51e4555f9d4f9c35ce027330
License: CC0 Creative Commons Zero 1.0
file "Figure2.zip" Contains a list of files to plot a solution diagram of ADP in the first cell for sigma_M =100s-1, kd=0.1 s-1, ny = 1.84 s-1. Red solid curve – stable stationary state, blue dashed curve – unstable stationary state, solid black curve – stable minima and maxima of glycolytic oscillations, dashed black curve – unstable minima and maxima of glycolytic oscillations, Hopf bifurcation points, and branch points are omitted for the purpose of readability of the solution diagram.
contains files: "contplt.s" contains data set for stable curves, odd columns represent stationary concentrations of ATP in cells from 1 to 20(last column is column #39), even columns represent stationary concentrations of ADP in cells from 1 to 20(last column is column #40), column #41 represents inhibition rate coeffient, column #42 represents an arch (see manual for program CONT), column #43 represents stability sign (-1 is stable, +1 unstable, 0 stability changing bifurcation point).
"contplt.u" contains data set for unstable curves, odd columns represent stationary concentrations of ATP in cells from 1 to 20(last column is column #39), even columns represent stationary concentrations of ADP in cells from 1 to 20(last column is column #40), column #41 represents inhibition rate coeffient, column #42 represents an arch (see manual for program CONT), column #43 represents stability sign (-1 is stable, +1 unstable, 0 stability changing bifurcation point).
"dcontplt.s"contains data set for stable minima and maxima of glycolytic oscillations, column #1 represents sigma_inh, column #2 represents an amplitude, column #3 represents minima, column #4 represents maxima, column #5 represents stability sign(-1 is stable, +1 unstable, 0 stability changing bifurcation point)
"dcontplt.u"contains data set for unstable minima and maxima of glycolytic oscillations, column #1 represents sigma_inh, column #2 represents an amplitude, column #3 represents minima, column #4 represents maxima, column #5 represents stability sign(-1 is stable, +1 unstable, 0 stability changing bifurcation point)
"bbranch.txt" contains data set for branch points, odd columns represent stationary concentrations of ATP in cells from 1 to 20(last column is column #39), even columns represent stationary concentrations of ADP in cells from 1 to 20(last column is column #40), column #41 represents inhibition rate coeffient, column #42 represents an arch (see manual for program CONT), column #43 represents point type sign (6 is branch point, 5 is Hopf bifurcation, 99 is codimension point).
"hhopf.txt" contains data set for Hopf bifurcation points, odd columns represent stationary concentrations of ATP in cells from 1 to 20(last column is column #39), even columns represent stationary concentrations of ADP in cells from 1 to 20(last column is column #40), column #41 represents inhibition rate coeffient, column #42 represents an arch (see manual for program CONT), column #43 represents point type sign (6 is branch point, 5 is Hopf bifurcation, 99 is codimension point).
"mustr.gnu" - file for plotting the solution diagram in Gnuplot
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Figure2.svg
Unknown - 1.1 MB - Feb 3, 2023 - 12 DownloadsMD5: e9814945a08fdfa628025e68e0cd4c96
License: CC0 Creative Commons Zero 1.0
Figure 2: Solution diagram of ADP in the first cell for Sigma_M =100s-1, kd=0.1 s-1, ny = 1.84 s-1. Red solid curve – stable stationary state, blue dashed curve – unstable stationary state, solid black curve – stable minima and maxima of glycolytic oscillations, dashed black curve – unstable minima and maxima of glycolytic oscillations, Hopf bifurcation points, and branch points are omitted for the purpose of readability of the solution diagram. | |
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Figure3.zip
ZIP Archive - 1.8 MB - Feb 3, 2023 - 9 DownloadsMD5: 1c4437715b77fea58b51f80616434b02
License: CC0 Creative Commons Zero 1.0
file "Figure3.zip" Contains a list of files to plot dynamic simulation of transitions in between uniform oscillations and non-uniform discrete patterns, sigma_M= 100 s-1, sigma_inh = 35 s-1, kd = 0.1 s-1 :
cotnains files: "contplt.1" Concentrations of ATP and ADP for a) in i-th cell in 20 cells of cyclic array arranged in a row in time interval 0-1000 seconds, odd columns represent stationary concentrations of ATP in cells from 1 to 20(last column is column #39), even columns represent stationary concentrations of ADP in cells from 1 to 20(last column is column #40), column #41 represents the time interval from 0 to 4000 seconds.
"perturbace.txt" column #1 represents time, column #2 represents ny_1(t), column #3 represents ny_2(t),..., column #21 represents ny_20(t)
"mustr.gnu" - file for plotting the solution diagram in Gnuplot
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Figure3.svg
Unknown - 457.6 KB - Feb 3, 2023 - 17 DownloadsMD5: 76d1ca441059df74d6f106f32bbc29c2
License: CC0 Creative Commons Zero 1.0
Figure 3: Dynamic simulation of transitions in between uniform oscillations and non-uniform discrete patterns, sigma_M= 100 s-1, sigma_inh = 35 s-1, kd = 0.1 s-1 : a) red curve represents ny_1, the green curve represents ny_11, the blue dashed curve represents ny_6; b) red curve represents ny_2, the green curve represents ny_20, the blue dashed curve represents ny_10; c) ADP concentrations in selected cells: red curve - cell #1, green curve - cell #11, blue curve - cell #6 d) ADP concentrations in selected cells: red curve - cell #2, green curve - cell #20, blue curve - cell #10. | |
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Figure4.zip
ZIP Archive - 570.5 KB - Feb 3, 2023 - 12 DownloadsMD5: ddddfae5fd58d5c86ea119730c1dae17
License: CC0 Creative Commons Zero 1.0
file "Figure4.zip" Contains a list of files to plot Discrete patterns of the stationary concentrations of ADP in 20 cells of the artificial blastula arranged in the time interval [500 s, 1000 s] for various sets of parameters sigma_M= 100 s-1. a) sigma_inh = 60 s-1, kd = 0.1 s-1, b) sigma_inh = 60 s-1, kd = 0.1 s-1, c) sigma_inh = 26 s-1, kd = 0.1 s-1, d) sigma_inh = 26 s-1, kd = 0.1 s-1, e) sigma_inh = 35 s-1, kd = 0.55 s-1.
contains files: "uniform.txt" Stationary concentrations of ATP and ADP in i-th cell in 20 cells of cyclic array arranged in a row in time interval 0-1000 seconds in the region of SUSS,odd columns represent stationary concentrations of ATP in cells from 1 to 20(last column is column #39), even columns represent stationary concentrations of ADP in cells from 1 to 20(last column is column #40), column #41 represents the time interval from 0 to 1000 seconds.
"contplt1.1" Stationary concentrations of ATP and ADP for a) in i-th cell in 20 cells of cyclic array arranged in a row in time interval 0-1000 seconds, odd columns represent stationary concentrations of ATP in cells from 1 to 20(last column is column #39), even columns represent stationary concentrations of ADP in cells from 1 to 20(last column is column #40), column #41 represents the time interval from 0 to 10000 seconds.
"contplt2.1" Stationary concentrations of ATP and ADP for b) in i-th cell in 20 cells of cyclic array arranged in a row in time interval 0-1000 seconds, odd columns represent stationary concentrations of ATP in cells from 1 to 20(last column is column #39), even columns represent stationary concentrations of ADP in cells from 1 to 20(last column is column #40), column #41 represents the time interval from 0 to 10000 seconds.
"contplt3.1" Stationary concentrations of ATP and ADP for c) in i-th cell in 20 cells of cyclic array arranged in a row in time interval 0-1000 seconds, odd columns represent stationary concentrations of ATP in cells from 1 to 20(last column is column #39), even columns represent stationary concentrations of ADP in cells from 1 to 20(last column is column #40), column #41 represents the time interval from 0 to 10000 seconds.
"contplt4.1" Stationary concentrations of ATP and ADP for d) in i-th cell in 20 cells of cyclic array arranged in a row in time interval 0-1000 seconds, odd columns represent stationary concentrations of ATP in cells from 1 to 20(last column is column #39), even columns represent stationary concentrations of ADP in cells from 1 to 20(last column is column #40), column #41 represents the time interval from 0 to 10000 seconds.
"contplt5.1" Stationary concentrations of ATP and ADP for e) in i-th cell in 20 cells of cyclic array arranged in a row in time interval 0-1000 seconds, odd columns represent stationary concentrations of ATP in cells from 1 to 20(last column is column #39), even columns represent stationary concentrations of ADP in cells from 1 to 20(last column is column #40), column #41 represents the time interval from 0 to 10000 seconds.
"mustr.gnu" - file for plotting the solution diagram in Gnuplot
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Figure4.svg
Unknown - 636.7 KB - Feb 3, 2023 - 12 DownloadsMD5: b01b91f8ee0a07d90c262d5151b790a1
License: CC0 Creative Commons Zero 1.0
Figure 4: Discrete patterns of the stationary concentrations of ADP in 20 cells of the artificial blastula arranged in the time interval [500 s, 1000 s] for various sets of parameters sigma_M= 100 s-1. a) sigma_inh = 60 s-1, kd = 0.1 s-1, b) sigma_inh = 60 s-1, kd = 0.1 s-1, c) sigma_inh = 26 s-1, kd = 0.1 s-1, d) sigma_inh = 26 s-1, kd = 0.1 s-1, e) sigma_inh = 35 s-1, kd = 0.55 s-1. Each cell is numbered by a green number. The blue dashed line corresponds to ADP concentration in an unstable uniform stationary state. The red lines represent stationary concentrations of ADP in each cell. | |
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Figure5.zip
ZIP Archive - 139.5 KB - Feb 3, 2023 - 18 DownloadsMD5: 954046316db349f6be4f10fb45739390
License: CC0 Creative Commons Zero 1.0
file "Figure5.zip" Contains a list of files to plot Discrete patterns of the stationary concentrations of ADP in 20 cells of the artificial blastula arranged in the time interval [500 s, 1000 s] for sigma_M= 100 s-1, sigma_inh = 35 s-1, kd = 0.1 s-1
contains files: "uniform.txt" Stationary concentrations of ATP and ADP in i-th cell in 20 cells of cyclic array arranged in a row in time interval 0-1000 seconds in the region of SUSS,odd columns represent stationary concentrations of ATP in cells from 1 to 20(last column is column #39), even columns represent stationary concentrations of ADP in cells from 1 to 20(last column is column #40), column #41 represents the time interval from 0 to 1000 seconds.
"contplt1.1" Stationary concentrations of ATP and ADP for a) in i-th cell in 20 cells of cyclic array arranged in a row in time interval 0-1000 seconds, odd columns represent stationary concentrations of ATP in cells from 1 to 20(last column is column #39), even columns represent stationary concentrations of ADP in cells from 1 to 20(last column is column #40), column #41 represents the time interval from 0 to 10000 seconds.
"contplt2.1" Stationary concentrations of ATP and ADP for b) in i-th cell in 20 cells of cyclic array arranged in a row in time interval 0-1000 seconds, odd columns represent stationary concentrations of ATP in cells from 1 to 20(last column is column #39), even columns represent stationary concentrations of ADP in cells from 1 to 20(last column is column #40), column #41 represents the time interval from 0 to 10000 seconds.
"contplt3.1" Stationary concentrations of ATP and ADP for c) in i-th cell in 20 cells of cyclic array arranged in a row in time interval 0-1000 seconds, odd columns represent stationary concentrations of ATP in cells from 1 to 20(last column is column #39), even columns represent stationary concentrations of ADP in cells from 1 to 20(last column is column #40), column #41 represents the time interval from 0 to 10000 seconds.
"contplt4.1" Stationary concentrations of ATP and ADP for d) in i-th cell in 20 cells of cyclic array arranged in a row in time interval 0-1000 seconds, odd columns represent stationary concentrations of ATP in cells from 1 to 20(last column is column #39), even columns represent stationary concentrations of ADP in cells from 1 to 20(last column is column #40), column #41 represents the time interval from 0 to 10000 seconds.
"contplt5.1" Stationary concentrations of ATP and ADP for e) in i-th cell in 20 cells of cyclic array arranged in a row in time interval 0-1000 seconds, odd columns represent stationary concentrations of ATP in cells from 1 to 20(last column is column #39), even columns represent stationary concentrations of ADP in cells from 1 to 20(last column is column #40), column #41 represents the time interval from 0 to 10000 seconds.
"contplt6.1" Stationary concentrations of ATP and ADP for f) in i-th cell in 20 cells of cyclic array arranged in a row in time interval 0-1000 seconds, odd columns represent stationary concentrations of ATP in cells from 1 to 20(last column is column #39), even columns represent stationary concentrations of ADP in cells from 1 to 20(last column is column #40), column #41 represents the time interval from 0 to 10000 seconds.
"contplt7.1" Stationary concentrations of ATP and ADP for g) in i-th cell in 20 cells of cyclic array arranged in a row in time interval 0-1000 seconds, odd columns represent stationary concentrations of ATP in cells from 1 to 20(last column is column #39), even columns represent stationary concentrations of ADP in cells from 1 to 20(last column is column #40), column #41 represents the time interval from 0 to 10000 seconds.
"contplt8.1" Stationary concentrations of ATP and ADP for h) in i-th cell in 20 cells of cyclic array arranged in a row in time interval 0-1000 seconds, odd columns represent stationary concentrations of ATP in cells from 1 to 20(last column is column #39), even columns represent stationary concentrations of ADP in cells from 1 to 20(last column is column #40), column #41 represents the time interval from 0 to 10000 seconds.
"contplt9.1" Stationary concentrations of ATP and ADP for i) in i-th cell in 20 cells of cyclic array arranged in a row in time interval 0-1000 seconds, odd columns represent stationary concentrations of ATP in cells from 1 to 20(last column is column #39), even columns represent stationary concentrations of ADP in cells from 1 to 20(last column is column #40), column #41 represents the time interval from 0 to 10000 seconds.
"mustr2.gnu" - file for plotting the solution diagram in Gnuplot | |