Publications
Kwon, G., Park, S. H., Song, Y. M., Choi, S. W., Park, P. S.*, (2014). A study on solutions of Jisuguimundo using the range of magic sums. Journal for History of Mathematics. (Link)
Song, Y. M.†, Hong, H.†, & Kim, J. K.*, (2021). Universally valid reduction of multiscale stochastic biochemical systems using simple non-elementary propensities. PLoS Comp Biol. (Link)
Jeong, E. M.†, Song, Y. M., & Kim, J. K.*, (2022). Combined multiple transcriptional repression mechanisms generate ultrasensitivity and oscillations. Interface Focus. (Link)
Vu, N. T.†, Song, Y. M.†, Tran, Q. T.†, Yun, H., Kim, S. K.*, Chae, J.*, Kim, J. K.*, (2023). Beyond the Michaelis-Menten: Accurate Prediction of Drug Interactions through Cytochrome P450 3A4 Induction. Clinical Pharmacology&Therapeutics. (Link)
Song, Y. M.†, Choi, S. J.†, Park, S. H., Lee, S. J., Joo, E. Y.*, Kim, J. K.*, (2023). A real-time, personalized sleep intervention using mathematical modelling and wearable devices, Sleep. (Link)
Lee, M. P.†, Hoang, K.†, Park, S., Song, Y. M., Joo, E. Y., Chang, W.*, Kim, J. H.*, Kim, J. K.*, (2023). Imputing Missing Sleep Data from Wearables with Neural Networks in Real-World Settings, Sleep. (Link)
Song, Y. M.†, Campbell, S.†, Shiau, L., Kim, J. K.*, Ott, W.*, (2024). Noisy delay denoises biochemical oscillators, Physical Review Letters. (Link)
Song, Y. M.†, Jeong, J.†, de los Reyes, A. V.†, Lim, D., Cho, C.-H., Yeom, J. W., Lee, T., Lee, J.-B., Lee, H.-J.*, Kim, J. K.*, (2024). Causal Dynamics of Sleep, Circadian Rhythm, and Mood in Major Depression and Bipolar Disorder Patients: Insights from Longitudinal Wearable Device Data, eBiomedicine. (Link)
Lim, D.†, Jeong, J.†, Song Y. M., Lee, H.-J.*, Kim J. K.*, Highly Accurate Prediction of Mood Episodes in Mood Disorder Patients Using Sleep and Circadian Rhythm Features from Wearables (Under Review)
Song, Y. M.†, Jeon, S.†, Cho, A., Chung, S., Ahn, Y., Kim, J. K.*, Suh, S.*, Predictors of Sleep Quality Trajectories and Alertness in Shift Workers Undergoing Cognitive-Behavioral Therapy for insomnia. (Submitted)
Song, Y. M.†, Kim, J. K.*, (2024). What’s driving rhythmic gene expression: Sleep or the clock?, Cell Systems. (Link)
Biological Research Interests
Analysis and application of human activity data from wearable devices
My goal is to analyze human activity data obtained from wearable devices by leveraging mathematical models. Specifically, I use models of sleep regulation and alertness prediction to develop an application that provides users with optimal sleep-wake patterns. Additionally, I use machine learning techniques to identify the key factors that influence sleep quality and mood changes.
Mathematical Research Interests
Development of reduction methods for multi-scale deterministic/stochastic systems
Biochemical systems are often modeled using ordinary differential equations or chemical master equations. In cases of timescale separation, these models can be simplified by replacing fast species with their Quasi-Steady-State-Approximations, resulting in non-elementary reaction functions/propensities. My focus is to determine the validity conditions for these methods and variants and to develop new reduction methods. I apply these methods in real-world scenarios such as biological oscillators and pharmacokinetics, which can provide valuable insights into biological systems and accurate drug pharmacokinetic predictions.