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Table 1 Parameters used in the diffusion examples

From: A Lattice-Boltzmann scheme for the simulation of diffusion in intracellular crowded systems

Example 1

Example 2

Example 3

Example 4

Example 5

Δx = 100

Δx = 50

Δx = 50

Δx = 50

Δx = 50

Δt = 5

Δt = 0.625

Δt = 0.625

Δt = 0.625

Δt = 0.625

D A  = 500

D A  = 1 000

D tracer  = 1 000

D tracer  = 1 000

D tracer  = 1 000

A A  = 100

A A  = 100

A tracer  = 100

r tracer  = 2, or 1.5, or 1, or 0

r tracer  = 1.5

C A  = 100

C A  = 1 000

C tracer  = 100

C tracer  = 796

C tracer  = 1 414

D B  = 500

D B  = 1 050

D crowder  = 1 000

D crowder1  = 1 050

D crowder  = 1 000

A B  = 100

A B  = 100

A crowder  = 100

r crowder1  = 1.9

r crowder  = 2

C B  = 900

C B  = 1 000

C crowder  = 1 000 or

C crowder1  = 6 172

C crowder  = 23 873 or

D C  = 1 100

C crowder  = 2 000 or

D crowder2  = 1 100

r crowder  = 1.5

A C  = 100

C crowder  = 3 000 or

r crowder2  = 1.8

C crowder  = 42 441 or

C C  = 1 000

C crowder  = 4 000

C crowder2  = 9 824

r crowder  = 1

D crowder3  = 1 200

C crowder  = 95 493

r crowder3  = 1.6

C crowder3  = 6 217

D crowder4  = 1 250

r crowder4  = 1.5

C crowder4  = 11 318

  1. The parameters indicated above are expressed in units: Δx [=] nm, Δt [=] ms, D sp [=] nm2 ms−1, A sp [=] nm2, C sp [=] molecules per (1 000 nm)2
  2. The order of magnitude of diffusion coefficients used agrees with that reported by Elowitz et al. [41]