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Effects of the dimensionless parameter δ. (a) Plot of equation (2.11) in dimensionless form. Analytical solution for the hyphal tip and length density in polar radial coordinates for different values of δ. Solutions are shown at time t=3. (b) Overall hyphal length per unit root length for different values of the dimensionless parameter δ, computed in equation (2.13). (a,b) Solid line, δ=0.01; dashed line, δ=1; dot-dashed line, δ=10.
