Table 1.
Parameters for simulations
Parameters | Value* | Reference | |
Viscosity (Ns/m2) | μ | 1.0 (Ce, CF, PF) 0.001 (Cc) | Ce (35) Cc (36) |
Mass density (kg/m3) | ρ | 1,000 | The mass density of H2O |
Dimension | d | 3 (Ce, Cc) 2 (CF, PF) | |
System size (μm) † | 26 (Ce) 710 (Cc) 25 (CF, PF) | ||
Particle density (particles/μm) | 30/26 = 1.15 (Ce) 25/710 = 0.035 (Cc) 30/25 = 1.2 (CF, PF) | ||
Distance between the adjacent particles at the initial condition (μm) | l0 | 0.867 (Ce) 28.4 (Cc) 0.833 (CF, PF) | |
Initial particle density (viscosity term) ‡ | n0 | 14.42 (Ce, Cc) 6.540 (CF, PF) | (30) |
Initial particle density (pressure term) ‡ | n1 | 124.0 (Ce, Cc) 35.61 (CF, PF) | (30) |
Laplacian coefficient | λ | 7.696 × 10-13 (Ce) 8.258 × 10-10 (Cc) 4.970 × 10-13 (CF) 2.485 × 10-12 (PF) | (30) |
Relative compression rate | α | 10-7 (Ce, Cc, CF, PF) 10-4 (Ce-M) § | (30) |
*Ce: C. elegans, Cc: Chara Corallina, CF: Couette flow, PF: Poiseuille flow.
†The system size for Ce is the short diameter of the cell. The system sizes for Cc, CF, and PF refer to the diameter.
‡n0 and n1 are given by and
, respectively, at the initial particle distribution on the square lattice. When the particle i is sufficiently inside the fluid, n0 or n1 reaches its maximum value.
§Ce-M indicates simulation of microtubule-dependent cytoplasmic streaming in C. elegans (Fig. 4). See SI Materials and Methods for the details of setting this parameter.