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Figure 5 | Theoretical Biology and Medical Modelling

Figure 5

From: Self-organization of developing embryo using scale-invariant approach

Figure 5

Calculations of the scale-invariant power law coefficient of the Koch curve using the CSSM method. The linear regression of the logarithm of the inverse of the steps (log(1/h)) is plotted against the logarithm of the roots of the number of the points on the Koch curve to the absolute value of the determinant of the basic square matrix . Plot A: presents scale 1 (100), where the 0th, 1st, 2nd, 3rd, 4th and 5th orders consist of 2, 5, 17, 65, 257 and 1025 points, respectively. B, C and D present the other three scales: 10-1, 10-2 and 10-3. The linear regression analyses of the plots are as follows: y = 0.58-0.777 x (standard error = 0.12, correlation coefficient = 0.98), y = 0.367-2.13 x (standard error = 1.23, correlation coefficient = 0.83), y = -0.577-3.153x (standard error = 3.24, correlation coefficient = 0.65, and y = -15.45-8.67x (standard error = 2.85, correlation coefficient = 0.93) for plots A, B, C and D.

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