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. Author manuscript; available in PMC: 2014 Dec 1.
Published in final edited form as: Cell Mol Bioeng. 2013 Dec;6(4):449–459. doi: 10.1007/s12195-013-0296-5

Figure 6. Computation time for ODE and Monte Carlo simulations.

Figure 6

A) A single motor-clutch cycle may take vastly different times to simulate depending on the method used and accuracy desired. The ODE solution for one average cycle using the base parameters on κsub = 0.1 pN/nm takes 0.11s, while the Monte Carlo (MC) simulation time for one average cycle increases from 0.15 s to 15 s as desired accuracy increases. B) Run times for 1 and 100 Monte Carlo runs are compared to ODE solution times over varying motor and clutch parameters (maintaining the balance of nm = nc). At low motor and clutch numbers, the single-run Monte Carlo time is shorter (but may be inaccurate due to lack of averaging), and increases as motors and clutches increase. The ODE solution time remains constant regardless of the parameters used and was faster than the single-run Monte Carlo simulation time at approximately 70 clutches (balanced by 70 motors). When averaging over 100 Monte Carlo run, the ODE solution becomes faster at only 2 clutches. ODE solutions were calculated using r = 2.