Preprints and Publications

    Peer-Reviewed Journal Publications

  1. Chemical systems with limit cycles

    (with Radek Erban), under review, 2022.
    [abstract]; [pdf]; [journal link].

  2. Mechanistic insights of glucosome condensate formation by stochastic modeling approaches

    (with Luan Nguyen, Songon An, Minjoung Kyoung), under review, 2022.
    [abstract]; [pdf]; [journal link].

  3. Incorporating age and delay into models for biophysical systems

    (with Wasiur R. KhudaBukhsh, Eben Kenah, and Grzegorz Rempala), Physical Biology, 2020, 18. 015002.
    [abstract]; [pdf]; [journal link].

  4. Comparison of deterministic and stochastic regime in a model for Cdc42 oscillations in fission yeast

    (with Bin Xu and Alexandra Jilkine), Bulletin of Mathematical Biology, 2019, Vol. 81, p1268-1302.
    [abstract]; [pdf]; [journal link].

  5. Multiscale reaction-diffusion algorithms combining Markov chain models with stochastic partial differential equations

    (with Radek Erban), Bulletin of Mathematical Biology, 2019, Vol. 81, p3185-3213.
    [abstract]; [pdf].

  6. Quasi-steady-state approximations derived from a stochastic enzyme kinetics model

    (with Wasiur R. KhudaBukhsh, Heinz Koeppl, and Grzegorz A. Rempala), Bulletin of Mathematical Biology, 2019, Vol. 81, p1303-1336.
    [abstract]; [pdf]; [journal link].

  7. A Mathematical model for enzyme clustering in glucose metabolism

    (with Miji Jeon and Songon An), Scientific Reports, 2018, Vol. 8, p2696.
    [abstract]; [pdf]; [supp].

  8. Reduction for stochastic biochemical reaction networks with multiscale conservations

    (with Jae Kyoung Kim and Grzegorz A. Rempala), SIAM Multiscale Modeling and Simulation, 2017, Vol. 15(4), p1376-1403.
    [abstract]; [pdf]; [journal link].

  9. Robustness and period sensitivity analysis of minimal models for biochemical oscillators

    (with Angelica Caicedo-Casso, Sookkyung Lim, and Christian Hong), Scientific Reports, 2015, Vol. 5, p13161.
    [abstract]; [pdf].

  10. Stochastic analysis of reaction-diffusion processes

    (with Jifeng Hu and Hans G. Othmer), Bulletin of Mathematical Biology, 2014, Vol. 76(4), p854-894.
    [abstract]; [pdf]; [journal link].

  11. Central limit theorems and diffusion approximations for multiscale Markov chain models

    (with Thomas G. Kurtz and Lea Popovic), Annals of Applied Probability, 2014, Vol. 24(2), p721-759.
    [abstract]; [pdf].

  12. A mathematical model for microRNA in lung cancer

    (with Melissa Crawford, Muller Fabbri, Gerard Nuovo, Michela Garofalo, S. Patrick Nana-Sinkam, and Avner Friedman),
    PLOS One, 2013, Vol. 8(1), e53663.
    [abstract]; [pdf].

  13. Separation of time-scales and model reduction for stochastic reaction networks

    (with Thomas G. Kurtz), Annals of Applied Probability, 2013, Vol. 23(2), p529-583.
    [abstract]; [pdf].

  14. A multiscale approximation in a heat shock response model of E.coli

    BMC Systems Biology, 2012, Vol. 6(1), p143.
    [abstract]; [pdf].

  15. The effect of the signaling scheme on the robustness of pattern formation in development

    (with Likun Zheng and Hans G. Othmer), Interface Focus, 2012, Vol. 2(4), p465-486.
    [abstract]; [pdf]; [journal link].

  16. A new method for choosing the computational cell in stochastic reaction-diffusion systems

    (with Likun Zheng and Hans G. Othmer), Journal of Mathematical Biology, 2012, Vol. 65(6-7), p1017-1099.
    [abstract]; [pdf]; [journal link].

  17. Peer-Reviewed Book Chapters

  18. A stochastic model of the melanopsin phototransduction cascade

    (with R. Lane Brown, Erika Camacho, Evan G. Cameron, Christina Hamlet, Kathleen Hoffman, Phyllis R. Robinson, Katherine Williams, and Glenn R. Wyrick), IMA Volumes in Mathematics and its Applications: Applications of Dynamical Systems in Biology and Medicine, 2015, Vol. 158, p175-195.
    [abstract]; [pdf]; [book chapter link].

PhD Thesis