Propagation Modeling and Analysis of Molecular Motors in Molecular Communication

Molecular motor networks (MMNs) are networks constructed from molecular motors to enable nanomachines to perform coordinated tasks of sensing, computing, and actuation at the nano- and micro- scales. Living cells are naturally enabled with this same mechanism to establish point-to-point communication between different locations inside the cell. Similar to a railway system, the cytoplasm contains an intricate infrastructure of tracks, named microtubules, interconnecting different internal components of the cell. Motor proteins, such as kinesin and dynein, are able to travel along these tracks directionally, carrying with them large molecules that would otherwise be unreliably transported across the cytoplasm using free diffusion. Molecular communication has been previously proposed for the design and study of MMNs. However, the topological aspects of MMNs, including the effects of branches, have been ignored in the existing studies. In this paper, a physical end-to-end model for MMNs is developed, considering the location of the transmitter node, the network topology, and the receiver nodes. The end-to-end gain and group delay are considered as the performance measures, and analytical expressions for them are derived. The analytical model is validated by Monte-Carlo simulations and the performance of MMNs is analyzed numerically. It is shown that, depending on their nature and position, MMN nodes create impedance effects that are critical for the overall performance. This model could be applied to assist the design of artificial MMNs and to study cargo transport in neurofilaments to elucidate brain diseases related to microtubule jamming.

[1]  L. Goldstein,et al.  Bead movement by single kinesin molecules studied with optical tweezers , 1990, Nature.

[2]  Daniel T Gillespie,et al.  Stochastic simulation of chemical kinetics. , 2007, Annual review of physical chemistry.

[3]  Massimiliano Pierobon,et al.  Capacity of a Diffusion-Based Molecular Communication System With Channel Memory and Molecular Noise , 2013, IEEE Transactions on Information Theory.

[4]  Keng-Hwee Chiam,et al.  Computational Modeling Reveals Optimal Strategy for Kinase Transport by Microtubules to Nerve Terminals , 2014, PloS one.

[5]  Lily Yeh Jan,et al.  Branching out: mechanisms of dendritic arborization , 2010, Nature Reviews Neuroscience.

[6]  K. Burrage,et al.  Stochastic chemical kinetics and the total quasi-steady-state assumption: application to the stochastic simulation algorithm and chemical master equation. , 2008, The Journal of chemical physics.

[7]  Claes Johnson Numerical solution of partial differential equations by the finite element method , 1988 .

[8]  Yosuke Tanaka,et al.  Molecular Motors in Neurons: Transport Mechanisms and Roles in Brain Function, Development, and Disease , 2010, Neuron.

[9]  Paul C Bressloff,et al.  Directed intermittent search for a hidden target on a dendritic tree. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[10]  M. Schnitzer,et al.  Force production by single kinesin motors , 2000, Nature Cell Biology.

[11]  Reinhard Lipowsky,et al.  Self-organized density patterns of molecular motors in arrays of cytoskeletal filaments. , 2005, Biophysical journal.

[12]  Ian F. Akyildiz Nanonetworks: A new frontier in communications , 2010, 2010 International Conference on e-Business (ICE-B).

[13]  Grant Calder,et al.  Arabidopsis Cortical Microtubules Are Initiated along, as Well as Branching from, Existing Microtubules[W] , 2009, The Plant Cell Online.

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

[15]  F. Kull,et al.  A METAL SWITCH FOR CONTROLLING THE ACTIVITY OF MOLECULAR MOTOR PROTEINS , 2011, Nature Structural &Molecular Biology.

[16]  Takahiro Nitta,et al.  Simulating molecular shuttle movements: towards computer-aided design of nanoscale transport systems. , 2006, Lab on a chip.

[17]  Per Lötstedt,et al.  Fokker–Planck approximation of the master equation in molecular biology , 2009 .

[18]  William O. Hancock,et al.  Bidirectional cargo transport: moving beyond tug of war , 2014, Nature Reviews Molecular Cell Biology.

[19]  Tatsuya Suda,et al.  Autonomous loading, transport, and unloading of specified cargoes by using DNA hybridization and biological motor-based motility. , 2008, Small.

[20]  Ken Binmore,et al.  Mathematical analysis : a straightforward approach , 1982 .

[21]  W. Gilks Markov Chain Monte Carlo , 2005 .

[22]  P. Bressloff,et al.  Quasi-steady State Reduction of Molecular Motor-Based Models of Directed Intermittent Search , 2010, Bulletin of mathematical biology.

[23]  Avner Friedman,et al.  Approximate Traveling Waves in Linear Reaction-Hyperbolic Equations , 2006, SIAM J. Math. Anal..

[24]  Ilangko Balasingham,et al.  Nanomachine-to-Neuron Communication Interfaces for Neuronal Stimulation at Nanoscale , 2013, IEEE Journal on Selected Areas in Communications.

[25]  Mark J. Schnitzer,et al.  Single kinesin molecules studied with a molecular force clamp , 1999, Nature.

[26]  Tatsuya Suda,et al.  Exploratory Research on Molecular Communication between Nanomachines , 2005 .

[27]  M. Fisher,et al.  Molecular motors: a theorist's perspective. , 2007, Annual review of physical chemistry.