Publications

Journal Publications:

• M. J. del Razo, T. Lamma and W. Merbis (2025) Field theories and quantum methods for stochastic reaction-diffusion systems. Reviews of Modern Physics (in press) [arXiv]

• A. Lanconelli, B. T. Perçin and M. J. del Razo (2025) Solution formula for the general birth-death chemical diffusion master equation. Reports on Mathematical Physics (in press) [arXiv]

• M. J. del Razo and M. Kostré (2025) Open reaction-diffusion systems: bridging probabilistic theory and simulations across scales. Journal of Physics A: Mathematical and Theoretical 58 145001 [arXiv][github]

• J. Armas, W. Merbis, J. Meylahn, S. R. Rad and M. J. del Razo (2025) Risk aversion can promote cooperation. Journal of Physics: Complexity 6 015010 [arXiv]

• M. J. del Razo and L. Delle Site (2025) Dynamics of systems with varying number of particles: from Liouville equations to general master equations for open systems. SciPost Physics 18, 001 [arXiv]

• M. J. del Razo, D. Crommelin and P. G. Bolhuis (2024) Data-driven dynamical coarse-graining for condensed matter systems. The Journal of Chemical Physics 160, 024108 [arXiv]

• M. J. del Razo, S. Winkelmann, R. Klein and F. Höfling (2023) Chemical diffusion master equation: formulations of reaction–diffusion processes on the molecular level. Journal of Mathematical Physics, 64(1), 013304 [arXiv]

• M. J. del Razo, D. Frömberg, A. V. Straube, C. Schütte, F. Höfling and S. Winkelmann (2022) A probabilistic framework for particle-based reaction-diffusion dynamics using classical Fock space representations. Letters in Mathematical Physics 112, 49 [arXiv]

• M. J. del Razo, M. Dibak, C. Schütte, and F. Noé (2021) Multiscale molecular kinetics by coupling Markov state models and reaction-diffusion dynamics. The Journal of Chemical Physics 155, 124109 [arXiv] [github] [Zenodo 1] [Zenodo 2]

• T. Hempel, M. J. del Razo, C. T. Lee, B. C. Taylor, R. E. Amaro and F. Noé. (2021) Independent Markov Decomposition: Towards modeling kinetics of biomolecular complexes. Proceedings of the National Academy of Sciences of the United States of America 118 (31) [bioRxiv]

• M. Kostré, C. Schütte, F. Noé and M. J. del Razo (2020) Coupling particle-based reaction-diffusion simulations with reservoirs mediated by reaction-diffusion PDEs. SIAM Multiscale Modeling and Simulation 19(4), 1659–1683 [arXiv] [github]

• M. J. del Razo, H. Qian and F. Noé (2018) Grand canonical diffusion-influenced reactions: a stochastic theory with applications to multiscale reaction-diffusion simulations. The Journal of Chemical Physics 149, 044102 [arXiv]

• M. Dibak, M. J. del Razo, D. De Sancho, C. Schütte and F.Noé (2018) MSM/RD: Coupling Markov state models of molecular kinetics with reaction-diffusion simulations. The Journal of Chemical Physics 148, 214107 [arXiv]

• M. J. del Razo and R. J. LeVeque (2017) Numerical methods for interface coupling of compressible and almost incompressible fluids. SIAM Journal on Scientific Computing 39(3), B486-B507. [arXiv] [github]

• M. J. del Razo and H. Qian (2016) A discrete stochastic formulation for reversible bimolecular reactions via diffusion encounter. Communications in Mathematical Sciences, 14(6), 1741-1772. [arXiv]

• M. J. del Razo, Y. Morofuji, J. S. Meabon, B. R. Huber, E. R. Peskind, W. A. Banks, P. D. Mourad, R. J. LeVeque and D. G. Cook (2016) Computational and in vitro studies of blast-induced blood-brain barrier disruption. SIAM Journal on Scientific Computing, 38(3), B347–B374. [arXiv] [github]

• M. J. del Razo and R. J. LeVeque (2014) Computational study of shock waves propagating through air-plastic-water interfaces. Bulletin of the Brazilian Mathematical Society, New Series 47(2), 1-16, HYP2014 proceedings. [arXiv] 

• M. J. del Razo W. Pan, H. Qian and G. Lin (2014) Fluorescence correlation spectroscopy and nonlinear stochastic reaction diffusion. The Journal of Physical Chemistry B 118(25), 7037-7046. [arXiv]

Books:

• David I. Ketcheson, Randall J. LeVeque, and Mauricio J. del Razo. (2020) Riemann Problems and Jupyter Solutions. SIAM Fundamentals of Algorithms. [SIAM] [Binder] [html] [github]

Interactive and printed book based on Jupyter notebooks.

To view the interactive book:

• Clone the GitHub repository and run the jupyter notebooks on your computer. The FA16 branch of the repository contains the notebooks corresponding to the printed book, while the master branch may have been updated.
• Run the notebooks on a server on binder (may take some minutes to launch)
• View the notebooks rendered as html (some interactive widgets do not work when viewed in html).

Theses:

• M. J. del Razo (2016) Stochastic Modeling of Reversible Biochemical Reaction-Diffusion Systems and High-Resolution Shock-Capturing Methods for Fluid Interfaces. Ph.D. thesis.

• M. J. del Razo (2010) Application of Watson’s Transformation to ocean waves. B.Sc. thesis (in Spanish).