Who
is Michael P. Brenner?
Glover
Professor of Applied Mathematics and Applied Physics
Harvard
College Professor
School
of Engineering and Applied Sciences
Kavli
Insitute for Bionano Science and Technology
Harvard
University
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.
Current
research projects range from efforts to understand the limitations of self
assembly (e.g. what can be reliably assembled with spherically symmetric
building blocks), to algorithm development for atmospheric chemistry (the
development o algorithms to accelerate simulations of global pollution), to
fluid mechanics (e.g. the aerodynamics of whale flippers, the splashing of
droplets and the ejection of fungal spores), to material science (pattern formation
on ion sputtered surfaces) to studies of the connection between evolution and
physiology, targeted to specific protein families (voltage gated ion channels
and hemoglobin).
PUBLICATIONS:
2013
M.Holmes-Cerfon, S.
Gortler and M.P. Brenner, A geometrical approach to computing free-energy
landscapes from short-ranged potentials, Proc. Natl. Acad. Sci, 110, E5-E14 (2013)
J.Wilking, V.
Zaburdaev, M.De Volder, R. Losick, M.P. Brenner and D.A. Weitz, Liquid transport facilitated by channels in
Bacillus subtilus biofilms,
Proc. Natl. Acad. Sci., 110, 848-852 (2013)
J.Fritz, A. Seminara,
M. Roper, A. Pringle and M.P. Brenner, A natural O-ring optimizes the dispersal
of fungal spores, under review.
K.Alim, G. Amselem,
F. Peaudecerf, M.P. Brenner and A. Pringle, Organism-wide organization of flow
by random network peristalsis in Physarum polycephalum, in review
L.Colwell, M.P.
Brenner and A.W. Murray, A Baysian approach to detecting amino acid covariance
in multiple sequence alignments, under review
L.Colwell, Y. Qin, A.
Manta and M.P. Brenner, Signal identification from Sample Covariance Matrices
with Correlated Noise, under review.
S.Hormoz and M.P.
Brenner, Non universal and non singular asymptotics of interacting vortex
filaments, to appear in Proc. IUTAM
A.Pringle, M.P.
Brenner, J. Fritz, M. Roper and A. Seminara, Reaching the wind: the fluid
mechanics of spore discharge and dispersal, preprint.
2012
A.Seminara, T.
Angelini, J. Wilking, H. Vlamakis, D.A. Weitz and M. P. Brenner, Osmotic spreading of Bacillus subtilis biofilms
driven by an extracellular exopolysaccharide matrix, Proc. Natl. Acad. Sci 109, 1116
(2012)
S.Mandre and M.P.
Brenner, “The mechanism of a splash on
a dry solid surface”,
J. Fluid Mech. 690 148-172. (2012)
D.M. Kaz, R.
McGorty, M. Mani, M.P. Brenner and V.N. Manoharan, Physical ageing of the
contact line on colloidal particles at liquid interfaces , Nature Materials, 11, 138-142
(2012).
J.Kolinski, S.M.
Rubenstein, S. Mandre, M.P. Brenner, D.A. Weitz and L. Mahadevan, Skating on an air film: drops impacting a solid
surface, Phys. Rev.
Lett., 107 074503 (2012)
Y. Qin, T. Schneider
and M.P. Brenner, Sequencing by Hybridization
of a Long Target, PLOS
One, 7, e35819(2012)
M. Holmes, M. J. Aziz
and M.P. Brenner, Creating sharp features by colliding shocks on
uniformly irradiated surfaces,
Phys. Rev. B, 85,165441 (2012)
S.Hormoz and M.P.
Brenner, Absence of singular
stretching in interacting vortex filaments, J. Fluid Mech, 707,194-204 (2012)
M.P. Brenner, Endocytic Traffic: Vesicle
Fusion Cascade in the Early Endosomes,
Current Biology, 22, R597 (2012)
A.M. Drews, L.
Cademartiri, M. Chemama, M.P. Brenner, G.M. Whitesides and K.J.M. Bishop, AC electric fields drive steady flows in flames, 85, 165441 (2012)
R. Mallarino, O.
Campas, J. Fritz, K. Burns, O. Weeks, M.P. Brenner and A. Abzhanov, Varied developmental
programs underlie convergent and divergent beak shape evolution in closely
related bird species,
Proc. Natl. Acad. Sci, (2012)
M.Holmes-Cerfon, W.
Zhou, A.L. Bertozzi, M.P. Brenner and M.J. Aziz, Development of Knife-Edge
Ridges on Ion Sputtered Surfaces,
Appl. Phys. Lett, 2012
2011
T.Schneider, S. Mandre
and M.P. Brenner, “Algorithm for a microfluidic assembly line”, Phys. Rev. Lett, 106,094503 (2011)
F. Ilevski, M. Mani,
G. M. Whitesides and MP Brenner, “Self assembly of magnetically interacting cubes
by a turbulent fluid flow”,
Phys. Rev. E, 83, 017301 (2011)
S.Norris, J. Samuel,
L. Bukonte, M. Backman, F. Djurabekova, K.S. Nordland, C. S. Madi, M.P. Brenner
and M. J. Aziz, “MD predicted phase diagrams
for pattern formation in ion beam sputtering”, Nature Comm., 2:276, 1-6 (2011)
S.Hormoz and M.P.
Brenner, Design principles for self assembly with short
ranged interactions,
Proc. Natl. Acad. Sci, 1014094108 (2011)
J.Wilking, T.
Angelini, A. Seminara, M.P. Brenner and D.A. Weitz, “Biofilms as Complex Fluids”, MRS Bulletin, 36, 1 (2011).
A.Seminara, B.
Pokroy, S.H. Kang, M.P. Brenner and J. Aizenberg, On the mechanism of nanostructure movement under
electron beam and its application in patterning, Phys. Rev. B, 83, 235438 (2011).
N. Arkus, V.
Manoharan and M.P. Brenner, “Deriving Finite Sphere
Packings”, SIAM J Discrete Mathematics,
25, 1860-1901 (2011).
2010
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)
M.Santillana, P. Le
Sager, D. J. Jacob and M.P. Brenner, “An adaptive reduction
algorithm for efficient chemical calculations in global atmospheric chemistry
models”, submitted.
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, Book
Review: Potential flows of viscous and viscoelastic fluids, J. Fluid
Mech.,(2010)
2009
M. Roper and M. P.
Brenner, “A nonperturbative approximation to the Moderate
Reynolds Number Navier Stokes Equation”,
Proc. Natl. Acad. Sci 106, 2977 (2009)
N. Arkus, V.
Manoharan and M.P. Brenner, “Minimal Energy Clusters
of Hard Spheres with Short Ranged Attractions”, Phys Rev Lett, 103,118303 (2009).
T.Angelini, M. Roper,
R. Kolter, D.A. Weitz and M.P. Brenner, “Bacillus subtilis spreads by
surfing on waves of surfactant”,
Proc. Natl. Acad. Sci 106, 18109 (2009)
L. Colwell and M.P.
Brenner, “Action Potential Initiation
in the Hodgkin Huxley Model”,
PLOS Comp. Biol , 5(1): e1000265. (2009)
S. Mandre, M. Mani
and M.P. Brenner, “Precursors to droplet
splashing on a solid surface”,
Phys. Rev. Lett. 102, 134502 (2009)
S. Norris, M.P.
Brenner and M.J. Aziz, “From crater functions to
phase diagrams: a new approach to ion bombardment induced nonequilibrium
pattern formation”,
J. Cond. Matter (special issue on ion beam sputtering) , 21, 224017 (2009)
B. Davidovitch, M.
Aziz and M.P. Brenner, “Linear dynamics of ion
sputtered surfaces: Instability, stability and bifurcations”, J. Cond. Matter (special issue of
ion beam sputtering) , 21 224019 (2009)
2008
E. A. van Nierop , S.
Alben and M.P. Brenner, “ “How bumps on whale flippers
delay stall: an aerodynamic model”,
Phys. Rev. Lett., 100, 054502 (2008).
S.Tee, P.J. Mucha,
M.P. Brenner and D.A. Weitz, “Velocity fluctuations in a
low Reynolds Number Fluidized Bed”,
J. Fluid Mech,, 596, 467-475 (2008).
M. Roper, R. Pepper,
M.P. Brenner and A.Pringle, “Explosively launched spores
of ascomycete fungi have drag minimizing shapes”, Proc. Natl. Acad. Sci (2008)
105, 20583-20558
M. Roper, T.M.
Squires and M.P. Brenner, “Symmetry un-breaking in the
shapes of perfect projectiles”,
Phys. Fluids, 20, 0923606 (2008).
M.P. Brenner and D.
Lohse, “Dynamic equilbrium mechanism
for nanobubble stabilization”,
Phys. Rev. Lett. 101, 214505 (2008)
C.S. Madi, B.P.
Davidovitch, H.B. George, S. A. Norris, M.P. Brenner and M.J. Aziz,”Multiple bifurcation types and
the linear dynamics of ion sputtered surfaces”, Phys. Rev. Lett. 101, 246102 (2008)
2007
E. L. Angelino and
M.P. Brenner, “Excitability constraints on
voltage gated sodium channels”,
PLOS Comp Bio, 3, 1751-1760, (2007)
Y. Rastigeyev, M.P.
Brenner and D. Jacob, “Spatial Reduction Algorithm
for Atmospheric Chemical Transport Models”, Proc. Natl. Acad. Sci, 104, 13875 (2007).
S. Alben and M.P.
Brenner, “The Self Assembly of Flat Sheets into Closed
Surfaces”, Phys. Rev.
E, 75,056113, (2007)
B. Davidovitch, M.
Aziz and M.P. Brenner, On the stabilization of ion
sputtered surfaces.
Phys. Rev. B, 76,205420 (2007).
P. J. Mucha, S.Y.
Tee, M.P. Brenner and D. A. Weitz, Velocity fluctuations of
initially stratified spheres.
Physics of Fluids, 19, 113304 (2007)
R.Milo, J. Hou, M.
Springer, M.P. Brenner and M. Kirschner The relationship between
evolutionary and physiological variation in hemoglobin, Proc. Natl. Acad. Sci, 104:13875-1380
(2007).
E. Lauga, M.P.
Brenner, and H.A. Stone Microfluidics: The no-slip
boundary condition.
Handbook of Experimental Fluid Dynamics, C. Tropea, A. Yarin, J. F. Foss
(Eds.), Springer, 2007. ISBN: 978-3-540-25141-5
2006
I. Cohen, B.
Davidovitch, A. B. Schofield, M. P. Brenner and D. A. Weitz, “Slip, yield, and
bands in colloidal crystals under oscillatory shear”, Phys. Rev. Lett.
2006
M. Schnall-Levin, E.
Lauga and M.P. Brenner, “Self Assembly of spherical particles on an evaporating
sessile droplet”, Langmuir, 22, 4547 (2006).
2005
“Shocks in ion
sputtering sharpen steep surface features’, H.H. Chen, O.A. Urquidez, S. Ichim,
L.H. Rodriquez, M.P. Brenner and M.J. Aziz, Science 310, 294-297(2005)
"Optimal Design of an
electrostatic zipper actuator",
M. P. Brenner, J. Lang, J. Li and A. H. Slocum, Model. Simulation of
Microsystems .
"DRIE Etched
Electrostatic Curved-Electrode Zipping Actuators", J.Li, M.P. Brenner, J.
H. Lang, A. H. Slocum, JMEMS, 14 (6): 1283-1297 2005.
2004
"A model for
Velocity Fluctuations in Sedimentation", P. J. Mucha, S. Y. Tee, D. A.
Weitz, B. I. Shraiman and M. P. Brenner, J. Fluid Mech, 501, 71-104 (2004)
Evaporation Driven
assembly of colloidal particles, E. Lauga and M.P. Brenner, Phys. Rev. Lett,
93, 238301 (2004)
2003
"Like charged
particles at liquid interfaces", M. G. Nikolaides, A. R. Bausch, M. F.
Hsu, A. D. Dinsmore, M. P. Brenner, C. Gay, D. A. Weitz. Brief Communications,
Nature, 424, August, (2003).
"Cristallisation par onde
acoustique: le ecas de L'helium",
M. Ben Amar, M. P. Brenner, J. R. Rice,Comptes Rendus Mecanique, 331, 601-607,
(2003)
"Motility of Escherichia coli
cells in clusters formed by chemotactic aggregation" N. Mittal, E. O. Budrene, M. P.
Brenner, and A. van Oudenaarden, Proc. Natl. Acad. Sci,100, 13259-13263 (2003).
"Like-charged particles at a
liquid liquid interface",
M. G. Nikolaides, A. R. Bausch, M. F. Hsu, A.D. Dinsmore, M. P. Brenner, C.
Gay, D. A.Weitz, Nature,(2003).
"Dynamic
mechanisms for shear-dependent apparent slip on hydrophobic surfaces", E.
Lauga and M. P. Brenner, Phys. Rev. E (2003).
"Elastic Instability of a
Growing Yeast Droplet",
B. C. Nguyen, A. Updataya, A. van Oudeenarden, M. P. Brenner, Biophys. J., (2003).
"Optimal Design of a Bistable
Switch", M. P.
Brenner, J. Lang, J. Li, J. Qiu and A. Slocum, Proc. Natl. Acad. Sci , 100, 9663-9667
(2003).
"Diffusivities and Front
Propagation in Sedimentation",
P. J. Mucha and M. P. Brenner, Phys. Fluids, 1305 (2003).
"Controlling the Fiber
Diameter during electrospinning",
S. Fridrikh, J. Yu, M. P. Brenner and G. C. Rutledge, Phys. Rev. Lett. 90, 14,
144502 (2003).
2002
Ordered clusters and
dynamical states of particles in a vibrated fluid", G. A. Voth, B. Bigger, M. R. Buckley,
W. Losert, M. P. Brenner, H. A. Stone and J. P. Gollub, Phys. Rev.Lett
88,234301 (2002).
Electric-field-induced
capillary attraction between like-charged particles at liquid interfaces", M. G. Nikolaides, A. R. Bausch,
M. F. Hsu, A. D. Dinsmore, C. Gay, M. P. Brenner, D. A. Weitz, Nature 299
- 301 (21 Nov 2002
"Nonuniversal velocity
fluctuations in sedimentation",
S.Y. Tee, P. J. Mucha, L. Cipelletti, S. Manley, M. P. Brenner, P. N. Segre and
D. A. Weitz, Phys. Rev. Lett 89, 054501, (2002).
"Bistable
Actuation Techniques, Mechanisms and Applications", J. Qiu, A. Slocum, J.
Lang, M. P. Brenner and J. Li, International Patent Application, filed (2002).
"Optimal Design
of a MEMS Relay Switch", M. P. Brenner, J. Li, J. Lang, J. Qiu and A.
Slocum, Model. Simulation of Microsystems, 214-217,(2002).
"Single Bubble Sonoluminescence", M. P. Brenner, S. Hilgenfeldt and
D. Lohse, Rev.Mod. Phys, 74,425-484, (2002).
2001
"Experimental
Characterization of electrospinning: the electrically forced jet and
instabilities".
Y. M. Shin, M. Hohman, M. P. Brenner and G. C. Rutledge, Polymer,
42,9955-9967(2001).
"Electrospinning
and electrically forced liquid jets: II. Applications", M. M. Hohman, M.
Shin, and G. C. Rutledge and M. P. Brenner, Phys. Fluids,
2221-2236 (2001).
"Electrospinning
and electrically forced liquid jets: I. Stability theory", M. M. Hohman,
M. Shin, and G. C. Rutledge and M. P. Brenner, Phys. Fluids, 2201-2220 (2001).
"That Sinking
Feeling", M. P. Brenner and P. J. Mucha, Nature, 409,568-569 (2001).
"Electrospinning:
a whipping fluid jet generates submicron polymer fibers", M. Shin, M.M.
Hohman, M. P. Brenner and G. C. Rutledge, App. Phys. Lett,78, 1149-1151 (2001)
.
2000
"Like Charge
Attraction through Hydrodynamic Interaction", T. Squires and M. P.
Brenner, Phys. Rev. Lett, 85, 4976 (2000).
"Hydrodynamic
Coupling of Two Brownian Spheres to a Planar Surface", E. R. Dufresne, T.
M. Squires, M. P. Brenner and D. G. Grier, Phys. Rev. Lett,85, 3317 (2000).
"Modern
Classical Physics through the work of G. I. Taylor", M. P. Brenner and H.
A. Stone, Physics Today, May 2000.
"Jets from a
Singular Surface", M. P. Brenner, Nature, 377(2000).
1999
"Two Fluid
Droplet Breakup: Theory and Experiments", I. Cohen, M. P. Brenner, J.
Eggers and S. R. Nagel, Phys. Rev. Lett., , 1147-1150 (1999).
"Spinning Jet
Breakup", J. Eggers and M.P. Brenner, IUTAM proceedings on Nonlinear Waves
in Multi-Phase Flows, H. C. Chang, editor, 1999.
"Diffusion,
Attraction and Collapse", M.P. Brenner, P. Constantin, L. P. Kadanoff, A.
Shenkel and S.C. Venkataramani, Nonlinearity, , 1071-1098 (1999).
"Electrostatic
Edge instability in Lipid Membranes," M. Betterton and M. P. Brenner,
Phys. Rev. Lett., 82, 1598-1601(1999).
"Screening
Mechanisms in Sedimentation", M. P. Brenner, Phys. Fluids, 754-772 (1999).
"On the Bursting
of Viscous Films", M. P. Brenner and D. Gueyffier, Phys. Fluids , 37-739
(1999).
"Drops with
Conical Ends in Electric and Magnetic Fields", H.A. Stone, J.R. Lister,
and M.P. Brenner, Proc. RoyalSoc, 329-347 (1999).
1998
"Dynamics of
Foam Drainage", S. Koehler, H. Stone, M.P. Brenner and J. Eggers, Phys.
Rev. E, 2097-2016 (1998).
"On Spherically
Symmetric Gravitational Collapse", M.P. Brenner and T.P. Witelski, J.
Stat. Phys ,863-899 (1998).
"Physical
Mechanisms for Chemotactic Pattern Formation by Bacteria", M.P. Brenner,
L. Levitov and E. Budrene, Biophys. J 74,1677-1693 (1998).
"Analysis of
Rayleigh Plesset Dynamics for Sonoluminescing Bubbles", S. Hilgenfeldt,
M.P. Brenner, S. Grossmann and D. Lohse, J. Fluid Mech, 365, 171-204 (1998).
"Reply to
Comment by Putterman and Roberts", M.P. Brenner, T.F. Dupont, S.
Hilgenfeldt and D. Lohse, Phys. Rev. Lett, 3668-3669 (1998).
1997
"Breakdown of
Scaling in High Reynolds Number Droplet Fission", M.P. Brenner, J. Eggers,
K. Joseph, S.R. Nagel and X.D. Shi, Phys. Fluids, 9,1573-1590 (1997).
"Sonoluminescing
Air Bubbles Rectify Argon, D. Lohse, M.P. Brenner, T.F. Dupont, S. Hilgenfeldt and
B. Johnston, Phys. Rev. Lett, 78, 1359-1362 (1997).
"Linear
Stability and Transient Growth in Driven Contact Lines", A. Bertozzi and
M.P. Brenner, Phys. Fluids, 9, 530-539 (1997).
"Sonoluminescence:
The Hydrodynamical/Chemical Approach: A Detailed Comparison to
Experiment", M.P. Brenner, S. Hilgenfeldt and D. Lohse, in NATO-ASI on
Sonoluminescence and Sonochemistry, L. Crum, editor , (Kluwer Academic
Publishers, Dordrect, 1997).
1996
"Why Air Bubbles
in Water Glow so Easily", M.P. Brenner, S. Hilgenfeldt and D. Lohse,
in Nonlinear Physics of Complex Systems--Current Status and Future
Trends,, edited by J. Parisi, S.C. MŸuller, and W. Zimmermann,79-97 (Springer,
Berlin 1996).
"Phase Diagrams
for Sonoluminescing in Bubbles", S. Hilgenfeldt, D. Lohse, and M.P. Brenner,
Phys. Fluids, 8, 2808-2826 (1996).
"Acoustic Energy
Storage in Single Bubble Sonoluminescence", M.P. Brenner, S. Hilgenfeldt,
D. Lohse, and R. Rosales, Phys. Rev. Lett,77, 3467-3470 (1996).
"Pinching
Threads, Singularities and the Number $0.0304", M.P. Brenner, J.R. Lister
and H.A. Stone, Phys. Fluids, 8, 2827-2836 (1996).
"Mechanisms for
Stable Single Bubble Sonoluminescence", M.P. Brenner, D. Lohse, D. Oxtoby
and T.F. Dupont, Phys. Rev. Lett, 76, 1158-1161 (1996).
"Stable and Unstable
Singularities in the Unforced Heleshaw Cell", R. Almgren, A. Bertozzi and
M.P. Brenner, Phys. Fluids ,8, 1356-1370 (1996).
"Mechanisms for
stable single bubble sonoluminescenceÓ, M. P. Brenner, D. Lohse, D. Oxtoby, and
T. F. Dupont, Physical Review Letters, 76, (1996).
"Note on the
Capillary Thread Instability for Fluids of Equal Viscosity", H.A. Stone
and M.P. Brenner, Fluid Mech, 318, 373-4 (1996).
1995
"Bubble Shape
Oscillations and the Onset of Sonoluminescence", M.P. Brenner, D. Lohse
and T.F. Dupont, Phys. Rev. Lett,75<, 954-957 (1995).
"Bifurcation of
Liquid Drops", M.P. Brenner, X.D. Shi, J. Eggers and S.R. Nagel, Phys.
Fluids, Gallery of Fluid Motion, 7, S2, (1995).
1994
"Iterated
Instabilities During Droplet Fission, Ó M.P. Brenner, X.D. Shi and S.R. Nagel,
Phys. Rev. Lett ,73, 3391-3394 (1994).
"A Cascade of
Structure in a Drop Falling From a Faucet", X.D. Shi, M.P. Brenner and
S.R. Nagel, Science, 265, 219-222 (1994).
"Singularities
and Similarities in Interface Flows", A.L. Bertozzi, M.P. Brenner, T.F.
Dupont and L.P. Kadanoff., in Trends and Perspectives in Applied Mathematics,
pp. 155--208, L. Sirovich, ed., Springer-Verlag Applied Mathematical Sciences,
1994.
1993
"Instability
Mechanism at Driven Contact Lines", M.P. Brenner, Phys. Rev. E, 4,
4597-4601 (1993); (Also appeared as "Instabilities at Driven Contact
Lines", Berichte der Bunsen--Gesellshaft, 98,440 (1993)).
"Instability
mechanism at driven contact lines", M. P. Brenner, Physical Review E , 47,
(1993).
"Spreading of
Droplets on a Solid Surface," M.P. Brenner and A.L. Bertozzi, Phys. Rev.
Lett, 71, 593-596 (1993).
"Rotational
Evolution of Solar--Type Stars," K.B. MacGregor and M.P. Brenner,
Astrophysical Journal, 376, 204 (1991).
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