An Analytical Model for Molecular Propagation in Nanocommunication via Filaments Using Relay-Enabled Nodes

Molecular communication is a nanoscale communication method in which information is encoded in molecules. Molecular communication using microtubules in free space is one of the realistic scenarios proposed for this type of nanocommunication. Based on this technique, molecular communication via filaments using nano-relays is proposed in this paper to improve the performance of the system in terms of delay and bit error probability. An analytical model using jump diffusion processes is proposed for molecular propagation in this scenario. It is shown that the proposed mathematical model is capable of tracking molecular propagation in molecular communication via filaments using nano-relays. Also, the model is used to investigate effects of different parameters on delay and bit error probability.

[1]  G. Klein,et al.  Mean first-passage times of Brownian motion and related problems , 1952, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[2]  H. D. Miller,et al.  The Theory Of Stochastic Processes , 1977, The Mathematical Gazette.

[3]  J. Davies,et al.  Molecular Biology of the Cell , 1983, Bristol Medico-Chirurgical Journal.

[4]  G. Karp Cell and molecular biology : concepts and experiments / Gerald Karp , 1996 .

[5]  L. Goldstein,et al.  Principles of cargo attachment to cytoplasmic motor proteins. , 2002, Current opinion in cell biology.

[6]  Hui Wang,et al.  First passage times of a jump diffusion process , 2003, Advances in Applied Probability.

[7]  J. Berg,et al.  A microtubule-binding myosin required for nuclear anchoring and spindle assembly , 2004, Nature.

[8]  L. Montelius,et al.  Actin-Based Molecular Motors for Cargo Transportation in Nanotechnology— Potentials and Challenges , 2005, IEEE Transactions on Advanced Packaging.

[9]  Tatsuya Suda,et al.  Molecular Communication: Simulation of Microtubule Topology , 2007, IWNC.

[10]  Ian F. Akyildiz,et al.  Nanonetworks: A new communication paradigm , 2008, Comput. Networks.

[11]  Tatsuya Suda,et al.  Molecular communication: Uni-cast communication on a microtubule topology , 2008, 2008 IEEE International Conference on Systems, Man and Cybernetics.

[12]  G. Kreitzer,et al.  Leukocyte transmigration requires kinesin-mediated microtubule-dependent membrane trafficking from the lateral border recycling compartment , 2008, The Journal of experimental medicine.

[13]  Kazuhiro Oiwa,et al.  Molecular Communication: Modeling Noise Effects on Information Rate , 2009, IEEE Transactions on NanoBioscience.

[14]  Ning Cai,et al.  On first passage times of a hyper-exponential jump diffusion process , 2009, Oper. Res. Lett..

[15]  Ian F. Akyildiz,et al.  Molecular communication options for long range nanonetworks , 2009, Comput. Networks.

[16]  Tatsuya Suda,et al.  Simulating molecular motor uni-cast information rate for molecular communication , 2009, 2009 43rd Annual Conference on Information Sciences and Systems.

[17]  Jonathon Howard,et al.  Kinesin-8 Motors Act Cooperatively to Mediate Length-Dependent Microtubule Depolymerization , 2009, Cell.

[18]  N. Farsad,et al.  Microchannel molecular communication with nanoscale carriers: Brownian motion versus active transport , 2010, 10th IEEE International Conference on Nanotechnology.

[19]  Andrew W. Eckford,et al.  Information Rates of Active Propagation in Microchannel Molecular Communication , 2010, BIONETICS.

[20]  J. Fu,et al.  Linear and Nonlinear Boundary Crossing Probabilities for Brownian Motion and Related Processes , 2010, Journal of Applied Probability.

[21]  Nariman Farsad,et al.  A simple mathematical model for information rate of active transport molecular communication , 2011, 2011 IEEE Conference on Computer Communications Workshops (INFOCOM WKSHPS).

[22]  Andrew W. Eckford,et al.  A mathematical channel optimization formula for active transport molecular communication , 2012, 2012 IEEE International Conference on Communications (ICC).

[23]  A. Vasilakos,et al.  Molecular Communication and Networking: Opportunities and Challenges , 2012, IEEE Transactions on NanoBioscience.

[24]  Attahiru Sule Alfa,et al.  Molecular communication via microtubules and physical contact in nanonetworks: A survey , 2013, Nano Commun. Networks.

[25]  D. Malak,et al.  Rate-Delay Tradeoff With Network Coding in Molecular Nanonetworks , 2013, IEEE Transactions on Nanotechnology.

[26]  B. Atakan,et al.  Active Molecular Communication , 2014 .

[27]  Adnan Aijaz,et al.  On Error Performance of Network Coding in Diffusion-Based Molecular Nanonetworks , 2014, IEEE Transactions on Nanotechnology.