Abstract:

Recently, Membrane Fusion (MF) based imperfect molecular transmitter (Tx) has been proposed in the literature to transmit the information molecule over diffusive channel which is based on the Fick’s equation of diffusion. Also, it is noteworthy to mention that the MF process is adopted between the vesicles and the MF based transmitter. On the other hand, literatures shows that Fractional Diffusive Channel (FDC) is more general channel model for Diffusive Molecular Communication (DMC). Therefore, this paper presents a closed-form expression of molecule release probability over Fractional Diffusive Channel (FDC). The effect of various physical parameters such as, forward reaction rate (kf ), radius of spherical T-BNM (rT ), the diffusion constant (D_v), fractional diffusion exponent 0 ≤ α ≤ 2 on molecule release probability is analyzed. Numerical analysis performed for molecule release probability over the fractional diffusion channel shows perfect agreement with the theoretical background.