Research

I am an applied mathematician with interests in complex systems and mathematical biology. I use modeling, analysis, and computer simulation of dynamical systems to both provide insight and make predictions about biological and physical phenomena.

 

Publications/preprints

* indicates undergraduate co-author

  1. P. S. Skardal, F. Battiston, M. Lucas, M.S. Mizuhara, G. Petri, Y. Zhang, Mixed higher-order coupling stabilizes new states, submitted.
  2. G.S. Medvedev, M.S. Mizuhara, The Kuramoto model on the Sierpinski gasket, submitted.
  3. G.S. Medvedev, M.S. Mizuhara, Harmonic maps from post-critically finite fractals to the circle, submitted.
  4. M.S. Mizuhara, K.Toms*, M. Williams*, Bounded confidence modeling predicts how group work affects student math anxiety, Chaos 35 (2025).
  5. H. Chiba, G. Medvedev, M.S. Mizuhara, Bifurcations and patterns in the Kuramoto model with inertia, Journal of Nonlinear Science 33 (2023).
  6. G.S. Medvedev, M.S. Mizuhara, A. Phillips*, A global bifurcation organizing rhythmic activity in a coupled network, Chaos, 32 (2022).
  7. G.S. Medvedev, M.S. Mizuhara, Chimeras unfolded, Journal of Statistical Physics 186 (2022).
  8. H. Chiba, G. Medvedev, M.S. Mizuhara, Instability of mixing in the Kuramoto model: from bifurcations to patterns, Pure and Applied Functional Analysis 7 (2022).
  9. M. Goebel*, M.S. Mizuhara, S. Stepanoff*, Stability of twisted states on lattices of Kuramoto oscillators, Chaos 31 (2021).
  10. G.S. Medvedev, M.S. Mizuhara, Stability of clusters in the second–order Kuramoto model on random graphs, Journal of Statistical Physics 182 (2021).
  11. N.A. Battista, M.S. Mizuhara, Fluid-Structure Interaction for the Classroom: Speed, Accuracy, Convergence, and Jellyfish!, available on ArXiV.
  12. N. Bolle*, M.S. Mizuhara, Dynamics of a cell motility model near the sharp interface limit, Journal of Theoretical Biology (2020).
  13. H. Chiba, G. Medvedev, M.S. Mizuhara, Bifurcations in the Kuramoto model on graphs, Chaos 28 (2018).
  14. M.S. Mizuhara, P. Zhang, Uniqueness and traveling waves in an evolution equation for cell motility, Discrete & Continuous Dynamical Systems – B 24 (2018).
  15. M.S. Mizuhara, L. Berlyand, I.S. Aronson, Minimal model of crawling cell motility on patterned substrates , Physical Review E 96.5 (2017).
  16. M.S. Mizuhara, L. Berlyand, V. Rybalko, L. Zhang,  On an evolution equation in a cell motility model, Physica D: Nonlinear Phenomena 318-319 (2016).
  17. O. Lazarev, M.S. Mizuhara, B. Reid, H. Swisher, Extension of a proof of the Ramanujan congruences for multipartitions, The Ramanujan Journal (2016).
  18. M.S. Mizuhara, J. A. Sellers, H. Swisher, A periodic approach to plane partition congruences, Integers 16 (2016). (with J. A. Sellers, H. Swisher)
  19. P.A. Brooksbank, M.S. Mizuhara, On groups with a class-preserving outer automorphism, Involve 7 (2) (2013).