- B.S., University of Pennsylvania
- Ph.D., 1994, Physics, University of Chicago
- Applied Mathematics & Computational Science
- Modeling Physical/Biological Phenonema and Systems
- Marriage of Biological & Artificial Systems
- Biomechanics and Motor Control
- Materials & Devices
- Biophysics and Self-Assembly
- Fluid Mechanics
- Materials Science
- Soft Condensed Matter
Primary Teaching Area
Our research uses methods and ideas of applied mathematics to address problems in science and engineering. We are first and foremost problem solvers, and search widely to find problems where mathematics (simple or complicated, with large computer simulations or without) can answer scientific questions.
Over the past decade our research has focused essentially primarily on theoretical modeling in the physical sciences and engineering. Much of the work has arisen out of close contact with experimentalists, and efforts to develop quantitative descriptions of phenomena and experiments. Problems addressed have included the breaking of fluid droplets; sonoluminescence (the production of light from small bubbles); the sedimentation of small particles; device design in engineering; electrospinning (a materials technique for producing small fibers), etc.
Current projects in the physical sciences include problems in microfluidics (such as mechanisms for producing small fibers in microfluidic devices), fluid mechanics (such as the aerodynamics of whale flippers), the rheology of colloidal suspensions (such the mechanisms underlying shear banding), self assembly, as well as varioius problems in material science (ion beam sputtering), and atmospheric chemistry (algorithm development for speeding up current atmospheric transport codes, as well as fundamental research into nonlinear chemical plumes in the atmosphere).
In recent years more and more of our work has been moving to biological questions and biological phenomena. We are interested in this both because the problems themselves are of interest and have much opportunity, and also because we feel strongly that the principles of biology can be used to develop novel directions in engineering. Current projects range from the connection between evolution and physiology (primarily in voltage gated ion channels, and hemoglobin), to the mechanism of transport in the nuclear pore, to issues having to do with understanding the very large systems of differential equations that commonly arise in biological modeling.
Positions & Employment
Harvard School of Engineering and Applied Sciences
- Glover Professor of Applied Mathematics and Applied Physics
- G. Meng, N. Arkus, M.P. Brenner and V. Manoharan, The Free Energy Landscape of Hard Sphere Clusters, Science 327, 560 (2010)
- O Campas, R. Mallarnio, A. Herrel, A. Abzhanov and M.P. Brenner, “The Scaling and Shear transformations capture beak shape variation in Darwin’s finches”, Proc. Natl. Acad. Sci (2010)
- Y. Rastigeyev, R. Park, M.P. Brenner and D. J. Jacob, “Resolving intercontinential pollution plumes in global transport models”, J. Geophys. Res. 115, D02302 (2010)
- M. Mani, S. Mandre and M.P. Brenner, Events Before Droplet Splashing on a Solid Surface, J. Fluid Mech., 647, 163 (2010)
- P.K. Bhattacharjee, T.M. Schneider, M.P. Brenner, G.H. McKinley and G. Rutledge, On the measured current in electrospinning, J. Appl. Physics 107 044306 (2010)
- L.Colwell, M.P. Brenner and K. Ribbeck, “Charge as a selection criterion for translocation through the nuclear pore complex”, Plos Comp. Biol. 6 (4): e1000747 (2010).
- M.P. Brenner, Chemotactic Patterns without Chemotaxis, Proc. Natl. Acad. Sci, to appear (2010)
- M.P. Brenner, Book Review: Potential flows of viscous and viscoelastic fluids, J. Fluid Mech., to appear (2010)
- N. Arkus, V. Manoharan and M.P. Brenner, “Deriving Finite Sphere Packings”, preprint, submitted to SIAM J Discrete Mathematics.