Our research is focused on modeling, analysis, simulation and software, applied to multiscale, networked systems in biology, materials and social networks. My group has been developing advanced algorithms for discrete stochastic simulation of systems where the fate of a few key molecules can make a big difference to important outcomes. We engage with experimentalists through the analysis of data and the development of mathematical models that yield insight and offer new directions for research. Current collaborations range from biology (circadian rhythm [jet lag] and cell polarization), to medicine (coagulopathy and post-traumatic stress disorder), to ecology (chytrid disease in frogs), to social networks (sentiment analysis and opinion dynamics), to materials. We are collaborating with Prof. Chandra Krintz on the development of an integrated, cloud-based environment called Stochastic Simulation Service (StochSS) for modeling and simulation of biological processes.
Announcements & News
|hybrid_sdpd_and_ssa.pdf||Drawert, B., Jacob, B., Li, Z., Yi, T-M, & Petzold, L. (2019). A Hybrid Smoothed Dissipative Particle Dynamics (SDPD) Spatial Stochastic Simulation Algorithm (sSSA) for Advection-Diffusion-Reaction Problems. J. Comp. Phys. 378, pp. 1-17.|
|s12976-019-0099-z.pdf||Ghaffari, H., Varner, J. D., & Petzold, L. R. (2019). Analysis of the Role of Thrombomodulin in All-trans Retinoic Acid Treatment of Coagulation Disorders in Cancer Patients. Theoretical Biology and Medical Modelling 16(1):3|
|1-s2.0-s2352340918314963-main.pdf||Drawert, B., Jacob, B., Li, Z., Yi, T-M, & Petzold, L. (2019). Validation Data for a Hybrid Smoothed Dissipative Particle Dynamics (SDPD) Spatial Stochastic Simulation Algorithm (sSSA) Method. Data in Brief, 22, pp. 11-15.|
|1.5017840.pdf||Bales, B., Petzold, L., Goodlet, B. R., Lenthe, W. C., & Pollock, T. M. (2018). Bayesian Inference of Elastic Properties with Resonant Ultrasound Spectroscopy. J. Acoust. Soc. Am., 143, pp. 71-83|
|10.10072fs10439-018-2031-9.pdf||Wu, T. B., Wu, S., Buoni, M., Orfeo, T., Brummel-Ziedins, K., Cohen, M., & Petzold, L. (2018). Computational Model for Hyperfibrinolytic Onset of Acute Traumatic Coagulopathy. Ann. Biomed. Eng. pp. 1-10|