Inter-arrival time vs number of molecules for diffusion model 1 Inter-arrival time of diffused molecules for molecular concentrations ≃ 10–9, 10–6, 10–5, 10–4 moles respectively governed by Model 1. This model as stated earlier is suitable for diffusion of uncharged molecules. The figure shows that the inter-arrival time increases with increasing number of molecules diffused in. This is because the concentration gradient reduces with more molecules diffusing in, resulting in larger time required for the molecules to move in. Also, it is observed that larger the initial concentration, the lesser is the inter-arrival time. This is expected due to a higher concentration gradient. This inter-arrival time distribution can be easily fitted to an exponential distribution.
Ghosh et al. BMC Genomics 2010 11(Suppl 3):S3 doi:10.1186/1471-2164-11-S3-S3