H. Ishii, Y. Takai, Y. Marui, Y. Yamazaki, Y. Kato, H. Kori. "Uncovering influence of football players' behaviour on team performance in ball possession through dynamical modelling" arXiv:2504.06574 (2025).
Mathematical modeling of the 3 vs 1 ball possession game in football.
Y. Kato, S. Kashiwamura, E. Watanabe, M. Okada, and H. Kori. "Bayesian estimation of coupling strength and heterogeneity in a coupled oscillator model from macroscopic quantities" Physical Review E 112, 034215 (2025). URL / arXiv / code / PDF
We propose a Bayesian framework for estimating the parameters of a coupled-oscillator model from time-series data of macroscopic observables (order parameters) and discuss stochastic model reduction from a data-driven perspective. Posterior distributions and the marginal likelihood (model evidence) are computed via replica-exchange Monte Carlo.
Y. Kato and H. Kori. "Periodic forces combined with feedback induce quenching in a bistable oscillator" Chaos 34, 103125 (2024). URL / arXiv
In a bistable oscillator model, we find that multiplicative periodic forces combined with feedback induce oscillation quenching, a transition from a limit cycle to a fixed point. By focusing on the 1:1 synchronized state between the oscillator and the periodic force, we reduce the system with an averaging approximation and perform a bifurcation analysis.
Y. Kato and H. Kori. "Weakly nonlinear analysis on synchronization and oscillation quenching of coupled mechanical oscillators" Scientific Reports 14, 1461 (2024). [Physics Top 100 download in 2024] URL (open access) / arXiv
We proposed a simple model of coupled mechanical oscillators (e.g. metronomes) and analyzed both synchronization and quenching by performing weakly nonlinear analysis. Numerical bifurcation analyses of out-of-phase synchronization and beat-like solution are also addressed, which are highlighted in Figs. 5 and 6.
Y. Kato and H. Kori. "Synchronization and stability analysis of an exponentially diverging solution in a mathematical model of asymmetrically interacting agents" Chaos 33, 073133 (2023). URL / arXiv
Two unique dynamical features of an existing mathematical model (Nowak & May, J. Theor. Biol., 1992.), synchronized growth rates and damped oscillation, are focused on. We find that both the existence of a slowly-replicating agent and its small itinial value are essential for these features. Another contribution of this paper, we believe, is that we perform an stablity analysis to diverging solutions by applying change of variables and a time-scale separation.
Yusuke Kato, Jan Albrecht, Robert Großmann, and Carsten Beta "Bayesian comparison of Langevin models from single tracking datasets of cell motility" ECC11 (Engineering of Chemical Complexity) in Tokyo (Japan), 29th July, 2025. [Oral]
Yusuke Kato, Jan Albrecht, Hiroshi Kori, Robert Großmann, and Carsten Beta "Parameter estimation and Bayesian comparison of Langevin models describing cell motility" DPG (Deutschen Physikalischen Gesellschaft) Spring Meeting in Regensburg (Germany), 19th March 2025. [Poster]
Yusuke Kato "Bayesian estimation of Kuramoto model parameters from macroscopic quantities" 26th Seminar on “Pattern Formation in Chemistry and Biophysics” in Leucorea, Lutherstadt Wittenberg (Germany), 22nd February 2025. [Oral]
Yusuke Kato and Hiroshi Kori. "Periodic perturbation induces amplitude change and oscillation quenching in a bistable oscillator" Dynamics Days Europe 2024 (Constructor University, Bremen, Germany), July 29th, 2024. [Oral presentation]
Yusuke Kato and Hiroshi Kori. "Bayesian inference of phase-oscillator model parameter using jet-lag mice experimental data" Joint annual meeting of the Korean Society for Mathematical Biology and the Society for Mathematical Biology (Konkuk University, Seoul, Korea), July 2nd, 2024. [Oral presentation]
Yusuke Kato and Hiroshi Kori. "Analysis of synchronization and oscillation death of coupled metronomes" STATPHYS28 (the University of Tokyo, Japan), August 7th, 2023. [Oral presentation]
Yusuke Kato "Parameter estimation and Bayesian comparison of Langevin models describing cell motility", SFB1294 International Spring School in Güstrow (Germany), 25th March, 2025. [Poster]
Yusuke Kato "Bayesian model selection for partially observed second order Langevin dynamics" Oberseminar: Aktuelle Probleme der Biologischen Physik at University of Potsdam (Germany), 10th March 2025. [Oral]
Yusuke Kato "Oscillation quenching by periodic perturbation and Bayesian estimation of Kuramoto model from macroscopic quantities" Neurophysics seminar at Charite Hospital Campus, Humboldt University Berlin (Germany), 10th February 2025. [Oral, Invited]
Yusuke Kato "Introduction of two studies: (1) analysis of oscillation quenching by periodic perturbation and (2) parameter estimation of Kuramoto model" NAXYS seminar at Namur Institute for Complex Systems (Belgium), 28th November 2024. [Oral]
Yusuke Kato "Introduction of two studies: (1) analysis of oscillation quenching by periodic perturbation and (2) parameter estimation of Kuramoto model" Research Seminar "Mathematical Models of Photonics" at Weierstrass Institute for Applied Analysis and Stochastics (Germany), 21st November 2024. [Oral]
Yusuke Kato "Towards the real-world application of nonlinear models: (1)Analysis of oscillation quenching & (2) Parameter estimation of Kuramoto model" Oberseminar: Aktuelle Probleme der Biologischen Physik at University of Potsdam (Germany), 30th October 2024. [Oral]
Yusuke Kato, S. Kashiwamura, E. Watanabe, M. Okada, and H. Kori. "Parameter estimation of a coupled oscillator model using macroscopic quantities" The Physical Society of Japan 2025 Annual Meeting, Hiroshima University, Higashihiroshima, September 17th, 2025. [oral presentation]
Yusuke Kato "Data-driven comparison of stochastic models that describe cell motility" ISSP Biophysics Seminar, the University of Tokyo (Prof. Kumiko Hayashi's group), May 7th 2025. [Oral, invited]
Yusuke Kato and Hiroshi Kori. "A state-transition method in a bistable oscillator: I. quenching induced by a periodic force combined with feedback" The Physical Society of Japan 2024 Annual Meeting, Hokkaido University, Sapporo, September 16th, 2024. [oral presentation]
Yusuke Kato. "Oscillation and synchronization in virus growth induced by asymmetrical interaction with immune system" 22th Young Soft Webiner, virtual, November 21st, 2023. [oral]
Yusuke Kato and Hiroshi Kori. "Analysis of oscillatory dynamics in mathematical models of (1) virus-immunity system and (ii) metronome" 22nd Kanto Soft Matter Seminar, Tokyo Metropolitan University, October 21st, 2023. [poster presentation]
Yusuke Kato and Hiroshi Kori. "Synchronization of viral growth rates and oscillatory viral dynamics in a mathematical model of asymmetrically interacting virus and immune cells" 2023 Annual Meeting of the Japan Society for Mathematical Biology, Nara Women's University, September 6th, 2023. [oral presentation]
Yusuke Kato and Hiroshi Kori. "Weakly nonlinear analysis of synchronization and oscillation death observed in coupled metronomes" The Physical Society of Japan 2023 Spring Meeting, virtual, March 24th, 2023. [oral presentation]
Yusuke Kato and Hiroshi Kori. "Oscillation and its stability analysis of HIV mathematical model with viral mutation" The Physical Society of Japan 2022 Annual (77th) Meeting, virtual, March 17th, 2022. [oral presentation]
Yusuke Kato and Hiroshi Kori. "Mathematical analysis of the clinical latency in HIV infection" 2021 Annual Meeting of the Japan Society for Mathematical Biology, virtual, September 15th, 2021. [oral presentation]