A Physical Channel Model for Wired Nano-Communication Networks

In this paper, we propose a new end-to-end system for wired nano-communication networks using a self-assembled polymer. The self-assembly of a polymer creates a channel between the transmitter and the receiver in the form of a conductive nanowire that uses electrons as carriers of information. We derive the channel's analytical model and its master equation to study the dynamic process of the polymer self-assembly. We validate the analytical model with numerical and Monte-Carlo simulations. Then, we approximate the master equation by a one-dimensional Fokker-Planck equation and we solve this equation analytically and numerically. We formulate the expressions of the polymer elongation rate, its diffusion coefficient and the nullcline to study the distribution and the stability of the self-assembled nanowire. This study shows promising results for realizing stable polymer-based wired nanonetworks that can achieve high throughput.

[1]  Eduard Alarcón,et al.  Influence of neighboring absorbing receivers upon the inter-symbol interference in a diffusion-based molecular communication system , 2017, Nano Commun. Networks.

[2]  Hao Yan,et al.  Adaptive Detection and ISI Mitigation for Mobile Molecular Communication , 2018, IEEE Transactions on NanoBioscience.

[3]  Mark E. Arsenault,et al.  Confinement and manipulation of actin filaments by electric fields. , 2007, Biophysical journal.

[4]  I. Willner,et al.  Actin-based metallic nanowires as bio-nanotransporters , 2004, Nature materials.

[5]  Christian E Badr,et al.  Bioluminescence imaging: basics and practical limitations. , 2014, Methods in molecular biology.

[6]  Soumaya Cherkaoui,et al.  Design and Evaluation of Self-Assembled Actin-Based Nano-Communication , 2019, 2019 15th International Wireless Communications & Mobile Computing Conference (IWCMC).

[7]  Jing Zhou,et al.  Toward Sensitive Room‐Temperature Broadband Detection from Infrared to Terahertz with Antenna‐Integrated Black Phosphorus Photoconductor , 2017 .

[8]  Ian J. Laurenzia An analytical solution of the stochastic master equation for reversible bimolecular reaction kinetics , 2000 .

[9]  Peter Adam Hoeher,et al.  Equivalent Discrete-Time Channel Modeling for Molecular Communication With Emphasize on an Absorbing Receiver , 2017, IEEE Transactions on NanoBioscience.

[10]  Laura Galluccio,et al.  A timing channel-based MAC protocol for energy-efficient nanonetworks , 2015, Nano Commun. Networks.

[11]  J. Jornet,et al.  Intra-Body Optical Channel Modeling for In Vivo Wireless Nanosensor Networks , 2016, IEEE Transactions on NanoBioscience.

[12]  Ian F. Akyildiz,et al.  Electromagnetic wireless nanosensor networks , 2010, Nano Commun. Networks.

[13]  Giuseppe Piro,et al.  Terahertz electromagnetic field propagation in human tissues: A study on communication capabilities , 2016, Nano Commun. Networks.

[14]  S. Cherkaoui,et al.  Performance Enhancement of Diffusion-Based Molecular Communication , 2020, IEEE Transactions on NanoBioscience.

[15]  N. Kampen,et al.  Stochastic processes in physics and chemistry , 1981 .

[16]  H. Cantiello,et al.  Ionic wave propagation along actin filaments. , 2004, Biophysical journal.

[17]  Tatsuya Suda,et al.  Molecular Communication Using Dynamic Properties of Oscillating and Propagating Patterns in Concentration of Information Molecules , 2017, IEEE Transactions on Communications.

[18]  Soumaya Cherkaoui,et al.  Toward a Wired Ad Hoc Nanonetwork , 2019, ICC 2020 - 2020 IEEE International Conference on Communications (ICC).

[19]  Xin-Wei Yao,et al.  TAB-MAC: Assisted beamforming MAC protocol for Terahertz communication networks , 2016, Nano Commun. Networks.

[20]  B. Alberts,et al.  The Self-Assembly and Dynamic Structure of Cytoskeletal Filaments , 2002 .

[21]  Mahtab Mirmohseni,et al.  Type based sign modulation for molecular communication , 2016, 2016 Iran Workshop on Communication and Information Theory (IWCIT).

[22]  Chan-Byoung Chae,et al.  Effective Enzyme Deployment for Degradation of Interference Molecules in Molecular Communication , 2017, 2017 IEEE Wireless Communications and Networking Conference (WCNC).

[23]  Ian F. Akyildiz,et al.  Three-Dimensional End-to-End Modeling and Analysis for Graphene-Enabled Terahertz Band Communications , 2017, IEEE Transactions on Vehicular Technology.

[24]  Soumaya Cherkaoui,et al.  Design Optimization of a MIMO Receiver for Diffusion-based Molecular Communication , 2019, 2019 IEEE Wireless Communications and Networking Conference (WCNC).

[25]  Adam Noel,et al.  3D Stochastic Geometry Model for Large-Scale Molecular Communication Systems , 2016, 2016 IEEE Global Communications Conference (GLOBECOM).

[26]  Dan ie l T. Gil lespie A rigorous derivation of the chemical master equation , 1992 .

[27]  Soumaya Cherkaoui,et al.  Enhancing Signal Strength and ISI-Avoidance of Diffusion-based Molecular Communication , 2018, 2018 14th International Wireless Communications & Mobile Computing Conference (IWCMC).

[28]  Mohsen Sardari,et al.  Networks of bacteria colonies: A new framework for reliable molecular communication networking , 2016, Nano Commun. Networks.

[29]  Paeiz Azmi,et al.  Optimal Positioning of Relay Node in Cooperative Molecular Communication Networks , 2017, IEEE Transactions on Communications.

[30]  T. Pollard,et al.  Direct measurement of actin polymerization rate constants by electron microscopy of actin filaments nucleated by isolated microvillus cores , 1981, The Journal of cell biology.

[31]  M. Juntti,et al.  Frequency and Time Domain Channel Models for Nanonetworks in Terahertz Band , 2015, IEEE Transactions on Antennas and Propagation.

[32]  Ngwe Thawdar,et al.  Design of graphene-based plasmonic nano-antenna arrays in the presence of mutual coupling , 2017, 2017 11th European Conference on Antennas and Propagation (EUCAP).

[33]  Massimiliano Pierobon,et al.  A physical end-to-end model for molecular communication in nanonetworks , 2010, IEEE Journal on Selected Areas in Communications.

[34]  Paeiz Azmi,et al.  Performance Evaluation and Optimal Detection of Relay-Assisted Diffusion-Based Molecular Communication With Drift. , 2017, IEEE transactions on nanobioscience.

[35]  Andrew W. Eckford,et al.  Symbol Interval Optimization for Molecular Communication With Drift , 2014, IEEE Transactions on NanoBioscience.

[36]  B. Nolen,et al.  Insertions within the Actin Core of Actin-related Protein 3 (Arp3) Modulate Branching Nucleation by Arp2/3 Complex* , 2012, The Journal of Biological Chemistry.

[37]  Robert Schober,et al.  Improving Receiver Performance of Diffusive Molecular Communication With Enzymes , 2013, IEEE Transactions on NanoBioscience.

[38]  Nadine Akkari Adra,et al.  Grid Based Energy-Aware MAC Protocol for Wireless Nanosensor Network , 2016, 2016 8th IFIP International Conference on New Technologies, Mobility and Security (NTMS).

[39]  Thomas E Murphy,et al.  Tunable Terahertz Hybrid Metal-Graphene Plasmons. , 2015, Nano letters.

[40]  Ian F. Akyildiz,et al.  Propagation Modeling and Analysis of Molecular Motors in Molecular Communication , 2016, IEEE Transactions on NanoBioscience.

[41]  J. Aaron,et al.  PURINES, PYRIMIDINES, AND NUCLEOTIDES , 2013 .

[42]  Liang Feng,et al.  On-Chip Wireless Optical Channel Modeling for Massive Multi-Core Computing Architectures , 2017, 2017 IEEE Wireless Communications and Networking Conference (WCNC).

[43]  I. Akyildiz,et al.  An End-to-End Model of Plant Pheromone Channel for Long Range Molecular Communication , 2017, IEEE Transactions on NanoBioscience.

[44]  Alenka G. Zajic,et al.  Statistical Modeling and Simulation of Short-Range Device-to-Device Communication Channels at Sub-THz Frequencies , 2016, IEEE Transactions on Wireless Communications.

[45]  J. Fox,et al.  Inhibition of actin polymerization in blood platelets by cytochalasins , 1981, Nature.

[46]  Akifumi Kasamatsu,et al.  Stochastic Channel Modeling for Kiosk Applications in the Terahertz Band , 2017, IEEE Transactions on Terahertz Science and Technology.

[47]  Tatsuya Suda,et al.  Design of self-organizing microtubule networks for molecular communication , 2011, Nano Commun. Networks.

[48]  Ray T. Chen,et al.  Design of a plasmonic-organic hybrid slot waveguide integrated with a bowtie-antenna for terahertz wave detection , 2016, SPIE OPTO.

[49]  L. Bharadwaj,et al.  Low-intensity magnetic fields assisted alignment of actin filaments. , 2010, International journal of biological macromolecules.

[50]  Ferdows B. Zarrabi,et al.  Wide band yagi antenna for terahertz application with graphene control , 2017 .

[51]  Brian Ingalls,et al.  Mathematical Modeling in Systems Biology: An Introduction , 2013 .

[52]  Eduard Alarcón,et al.  Study of hybrid and pure plasmonic terahertz antennas based on graphene guided-wave structures , 2017, Nano Commun. Networks.

[53]  Chang Hyeong Lee,et al.  An analytical approach to solutions of master equations for stochastic nonlinear reactions , 2012, Journal of Mathematical Chemistry.

[54]  Timo Betz,et al.  Stochastic actin polymerization and steady retrograde flow determine growth cone advancement. , 2009, Biophysical journal.

[55]  D. Sherrington Stochastic Processes in Physics and Chemistry , 1983 .

[56]  O. Shimomura A short story of aequorin. , 1995, The Biological bulletin.

[57]  Tuna Tugcu,et al.  Optimal Reception Delay in Diffusion-Based Molecular Communication , 2018, IEEE Communications Letters.

[58]  Chong Han,et al.  MA-ADM: A memory-assisted angular-division-multiplexing MAC protocol in Terahertz communication networks , 2017, Nano Commun. Networks.

[59]  Michael Taynnan Barros,et al.  Ca2+-signaling-based molecular communication systems: Design and future research directions , 2017, Nano Commun. Networks.

[60]  Ren Zhi,et al.  High-throughput low-delay MAC protocol for TeraHertz ultra-high data-rate wireless networks , 2016 .

[61]  Tuna Tugcu,et al.  ISI Mitigation Techniques in Molecular Communication , 2014, IEEE Transactions on Molecular, Biological and Multi-Scale Communications.

[62]  Andrew W. Eckford,et al.  A Comprehensive Survey of Recent Advancements in Molecular Communication , 2014, IEEE Communications Surveys & Tutorials.

[63]  Robert Schober,et al.  Ion Channel Based Bio-Synthetic Modulator for Diffusive Molecular Communication , 2016, IEEE Transactions on NanoBioscience.

[64]  Yevgeni Koucheryavy,et al.  Linear Channel Modeling and Error Analysis for Intra/Inter-Cellular Ca2+ Molecular Communication , 2016, IEEE Transactions on NanoBioscience.

[65]  Vahid Jamali,et al.  Stochastic Channel Modeling for Diffusive Mobile Molecular Communication Systems , 2017, IEEE Transactions on Communications.

[66]  Q. Abbasi,et al.  THz Time-Domain Spectroscopy of Human Skin Tissue for In-Body Nanonetworks , 2016, IEEE Transactions on Terahertz Science and Technology.

[67]  Kevin Burrage,et al.  Stochastic simulation in systems biology , 2014, Computational and structural biotechnology journal.

[68]  Zhong Lin Wang Top emerging technologies for self-powered nanosystems: nanogenerators and nanopiezotronics , 2010, 2010 3rd International Nanoelectronics Conference (INEC).

[69]  G. Koch The endoplasmic reticulum and calcium storage , 1990, BioEssays : news and reviews in molecular, cellular and developmental biology.

[70]  Ian F. Akyildiz,et al.  The Internet of nano-things , 2010, IEEE Wireless Communications.

[71]  Ali Jamshidi,et al.  Performance analysis of Decode and Forward Relay network in Diffusion based Molecular Communication , 2017, 2017 Iranian Conference on Electrical Engineering (ICEE).

[72]  Tuna Tugcu,et al.  A Novel Pre-Equalization Method for Molecular Communication via Diffusion in Nanonetworks , 2015, IEEE Communications Letters.