Stability analysis for large-scale multi-agent molecular communication systems (2311.06730v2)
Abstract: Molecular communication (MC) is recently featured as a novel communication tool to connect individual biological nanorobots. It is expected that a large number of nanorobots can form large multi-agent MC systems through MC to accomplish complex and large-scale tasks that cannot be achieved by a single nanorobot. However, most previous models for MC systems assume a unidirectional diffusion communication channel and cannot capture the feedback between each nanorobot, which is important for multi-agent MC systems. In this paper, we introduce a system theoretic model for large-scale multi-agent MC systems using transfer functions, and then propose a method to analyze the stability for multi-agent MC systems. The proposed method decomposes the multi-agent MC system into multiple single-input and single-output (SISO) systems, which facilitates the application of simple analysis technique for SISO systems to the large-scale multi-agent MC system. Finally, we demonstrate the proposed method by analyzing the stability of a specific large-scale multi-agent MC system and clarify a parameter region to synchronize the states of nanorobots, which is important to make cooperative behaviors at a population level.
- T. Suda and T. Nakano, “Molecular communication : a personal perspective,” IEEE Trans. Nanobiosci., vol. 17, no. 4, pp. 424–432, 2018.
- D. Bi, A. Almpanis, A. Noel, Y. Deng, and R. Schober, “A Survey of Molecular Communication in Cell Biology: Establishing a New Hierarchy for Interdisciplinary Applications,” IEEE Commun. Surveys Tuts., vol. 23, no. 3, pp. 1494–1545, 2021.
- C. A. Söldner, E. Socher, V. Jamali, W. Wicke, G. S. Member, A. Ahmadzadeh, H.-g. Breitinger, A. Burkovski, K. Castiglione, R. Schober, and H. Sticht, “A Survey of Biological Building Blocks for Synthetic Molecular Communication Systems,” IEEE Commun. Surveys Tuts., vol. 22, no. 4, pp. 2765–2800, 2020.
- S. Lotter, L. Brand, V. Jamali, M. Schäfer, H. M. Loos, H. Unterweger, S. Greiner, J. Kirchner, C. Alexiou, D. Drummer, G. Fischer, A. Buettner, and R. Schober, “Experimental research in synthetic molecular communications – part ii,” IEEE Nanotechnol. Mag., vol. 17, no. 3, pp. 54–65, 2023.
- N. Farsad, H. B. Yilmaz, A. Eckford, C. B. Chae, and W. Guo, “A comprehensive survey of recent advancements in molecular communication,” IEEE Commun. Surveys Tuts., vol. 18, no. 3, pp. 1887–1919, 2016.
- M. Femminella, G. Reali, and A. V. Vasilakos, “Molecular communications model for drug delivery,” IEEE Trans. Nanobiosci., vol. 14, no. 7, pp. 935–945, 2015.
- W. Gao and J. Wang, “Synthetic micro/nanomotors in drug delivery,” Nanoscale, vol. 6, pp. 10 486–10 494, 2014.
- M. Pierobon and I. Akyildiz, “A physical end-to-end model for molecular communication in nanonetworks,” IEEE J. Select. Areas Commun., vol. 28, no. 4, pp. 602–611, 2010.
- U. A. Chude-Okonkwo, R. Malekian, and B. T. Maharaj, “Diffusion-controlled interface kinetics-inclusive system-theoretic propagation models for molecular communication systems,” Eurasip J. Adv. Signal Process., vol. 2015, no. 1, pp. 1–23, 2015.
- Y. Huang, F. Ji, Z. Wei, M. Wen, X. Chen, Y. Tang, and W. Guo, “Frequency Domain Analysis and Equalization for Molecular Communication,” IEEE Trans. Signal Processing, vol. 69, pp. 1952–1967, 2021.
- S. Lotter, A. Ahmadzadeh, and R. Schober, “Channel modeling for synaptic molecular communication with re-uptake and reversible receptor binding,” in IEEE Int. Conf. Commun., 2020, pp. 1–7.
- M. Schäfer, W. Wicke, W. Haselmayr, R. Rabenstein, and R. Schober, “Spherical diffusion model with semi-permeable boundary: A transfer function approach,” in IEEE Int. Conf. Commun., 2020, pp. 1–7.
- B. C. Akdeniz, A. E. Pusane, and T. Tugcu, “2-d channel transfer function for molecular communication with an absorbing receiver,” in IEEE Int. Conf. Intell. Comput. Commun. Processing. IEEE, jul 2017, pp. 938–942.
- S. Hara, T. Kotsuka, and Y. Hori, “Modeling and stability analysis for multi-agent molecular communication systems : a case study for two agents,” in Proc. SICE Annual Conf., 2021, pp. 659–662.
- T. Kotsuka and Y. Hori, “Spatial Frequency-Based Characterization of Disturbance Rejection in Molecular Communication Systems,” IEEE Trans. Mol. Biol. Multi-Scale Commun., vol. 8, no. 1, pp. 36–43, 2022.
- Y. Hori, H. Miyazako, S. Kumagai, and S. Hara, “Coordinated spatial pattern formation in biomolecular communication networks,” IEEE Trans. Mol. Biol. Multi-Scale Commun., vol. 6, no. 2, pp. 111–121, 2015.
- J. Hsia, W. J. Holtz, D. C. Huang, M. Arcak, and M. M. Maharbiz, “A Feedback Quenched Oscillator Produces Turing Patterning with One Diffuser,” PLoS Comput. Biol., vol. 8, no. 1, p. e1002331, 2012.
- K. Kashima, T. Ogawa, and T. Sakurai, “Selective pattern formation control: Spatial spectrum consensus and Turing instability approach,” Automatica, vol. 56, pp. 25–35, jun 2015.
- J. Qin, Q. Ma, Y. Shi, and L. Wang, “Recent Advances in Consensus of Multi-Agent Systems: A Brief Survey,” IEEE Trans. Ind. Electron., vol. 64, no. 6, pp. 4972–4983, jun 2017.
- Y. Cao, W. Yu, W. Ren, and G. Chen, “An overview of recent progress in the study of distributed multi-agent coordination,” IEEE Trans. Industr. Inform., vol. 9, no. 1, pp. 427–438, 2013.
- R. Olfati-Saber, J. A. Fax, and R. M. Murray, “Consensus and Cooperation in Networked Multi-Agent Systems,” Proc. IEEE, vol. 95, no. 1, pp. 215–233, jan 2007.
- T. Kotsuka and Y. Hori, “A control-theoretic model for bidirectional molecular communication systems,” IEEE Trans. Mol. Biol. Multi-Scale Commun., pp. 1–1, 2023.
- S. Hara, T. Hayakawa, and H. Sugata, “LTI Systems with Generalized Frequency Variables: A Unified Framework for Homogeneous Multi-agent Dynamical Systems,” SICE journal of control, measurement, and system integration, vol. 2, no. 5, pp. 299–306, 2009.
- A. M. Turing, “The chemical basis of morphogenesis,” Philos. Trans. R. Soc. Lond., B, Biol. Sci., vol. 237, no. 641, pp. 37–72, aug 1952.
- T. Danino, O. Mondragón-Palomino, L. Tsimring, and J. Hasty, “A synchronized quorum of genetic clocks,” Nature, vol. 463, no. 7279, p. 326, 2010.
- P. Du, H. Zhao, H. Zhang, R. Wang, J. Huang, Y. Tian, X. Luo, X. Luo, M. Wang, Y. Xiang, L. Qian, Y. Chen, Y. Tao, and C. Lou, “De novo design of an intercellular signaling toolbox for multi-channel cell–cell communication and biological computation,” Nat. Commun., vol. 11, no. 1, p. 4226, dec 2020.
- J. J. Collins, T. S. Gardner, and C. R. Cantor, “Construction of a genetic toggle switch in escherichia coli,” Nature, vol. 403, no. 6767, pp. 339–342, 2000.
- A. Burmeister and A. Grünberger, “Microfluidic cultivation and analysis tools for interaction studies of microbial co-cultures,” Current Opinion in Biotechnology, vol. 62, pp. 106–115, apr 2020. [Online]. Available: https://linkinghub.elsevier.com/retrieve/pii/S0958166919300709
- S. Basu, Y. Gerchman, C. H. Collins, F. H. Arnold, and R. Weiss, “A synthetic multicellular system for programmed pattern formation,” Nature, vol. 434, no. 7037, pp. 1130–1134, 2005.
- Y. Hori, T.-h. Kim, and S. Hara, “Existence criteria of periodic oscillations in cyclic gene regulatory networks,” Automatica, vol. 47, no. 6, pp. 1203–1209, jun 2011.
- X. Li, J. Jin, X. Zhang, F. Xu, J. Zhong, Z. Yin, H. Qi, Z. Wang, and J. Shuai, “Quantifying the optimal strategy of population control of quorum sensing network in Escherichia coli,” NPJ Syst. Biol. Appl., vol. 7, no. 1, p. 35, sep 2021.
- C. M. Waters and B. L. Bassler, “Quorum sensing: cell-to-cell communication in bacteria,” Annu. Rev. Cell Dev. Biol., vol. 21, pp. 319–346, 2005.
- T.-h. Kim, Y. Hori, and S. Hara, “Robust stability analysis of gene–protein regulatory networks with cyclic activation–repression interconnections,” Syst. Control Lett., vol. 60, no. 6, pp. 373–382, jun 2011. [Online]. Available: http://dx.doi.org/10.1016/j.sysconle.2011.03.003https://linkinghub.elsevier.com/retrieve/pii/S0167691111000478