1 The Poincaré Conjencture--Proved (庞加莱猜想)
The solution of a century-old mathematics problem turns out to be a bittersweet prize
CREDIT: CAMERON SLAYDEN/SCIENCE
To mathematicians, Grigori Perelman's proof of the Poincaré conjecture
qualifies at least as the Breakthrough of the Decade. But it has taken
them a good part of that decade to convince themselves that it was for
real. In 2006, nearly 4 years after the Russian mathematician released
the first of three papers outlining the proof, researchers finally
reached a consensus that Perelman had solved one of the subject's most
venerable problems. But the solution touched off a storm of controversy
and drama that threatened to overshadow the brilliant work.
Perelman's proof has fundamentally altered two distinct branches of
mathematics. First, it solved a problem that for more than a century
was the indigestible seed at the core of topology, the mathematical
study of abstract shape. Most mathematicians expect that the work will
lead to a much broader result, a proof of the geometrization
conjecture: essentially, a "periodic table" that brings clarity to the
study of three-dimensional spaces, much as Mendeleev's table did for
chemistry.
While bringing new results to topology, Perelman's work brought new techniques
to geometry. It cemented the central role of geometric evolution
equations, powerful machinery for transforming hard-to-work-with spaces
into more-manageable ones. Earlier studies of such equations always ran
into "singularities" at which the equations break down. Perelman
dynamited that roadblock.
"This is the first time that mathematicians have been able to
understand the structure of singularities and the development of such a
complicated system," said Shing-Tung Yau of Harvard University at a
lecture in Beijing this summer. "The methods developed … should shed
light on many natural systems, such as the Navier-Stokes equation [of
fluid dynamics] and the Einstein equation [of general relativity]."
Unruly spaces
Henri Poincaré, who posed his problem in 1904, is generally regarded as
the founder of topology, the first mathematician to clearly distinguish
it from analysis (the branch of mathematics that evolved from calculus)
and geometry. Topology is often described as "rubbersheet geometry,"
because it deals with properties of surfaces that can undergo arbitrary
amounts of stretching. Tearing and its opposite, sewing, are not
allowed.
Our bodies, and most of the familiar objects they interact with, have
three dimensions. Their surfaces, however, have only two. As far as
topology is concerned, two-dimensional surfaces with no boundary (those
that wrap around and close in on themselves, as our skin does) have
essentially only one distinguishing feature: the number of holes in the
surface. A surface with no holes is a sphere; a surface with one hole
is a torus; and so on. A sphere can never be turned into a torus, or
vice versa.
Three-dimensional objects with 2D surfaces, however, are just the
beginning. For example, it is possible to define curved 3D spaces as
boundaries of 4D objects. Human beings can only dimly visualize such
spaces, but mathematicians can use symbolic notation to describe them
and explore their properties. Poincaré developed an ingenious tool,
called the "fundamental group," for detecting holes, twists, and other
features in spaces of any
dimension. He conjectured that a 3D space cannot hide any interesting
topology from the fundamental group. That is, a 3D space with a
"trivial" fundamental group must be a hypersphere: the boundary of a
ball in 4D space.
Although simple to state, Poincaré's conjecture proved maddeningly
difficult to prove. By the early 1980s, mathematicians had proved
analogous statements for spaces of every dimension higher than
three--but not for the original one that Poincaré had pondered.
Enigma. Perelman (top) solved Poincaré's problem.
CREDIT: EPA/CORBIS |
To make progress, topologists reached for a tool they had neglected: a
way to specify distance. They set about recombining topology with
geometry. In 1982, William Thurston (now of Cornell University)
theorized that every 3D space can be carved up so that each piece has a
unique uniform geometry, and that those geometries come in only eight
possible types. This hypothesis became known as the geometrization
conjecture.
If true, Thurston's insight would solve the Poincaré conjecture,
because a sphere is the only one of the eight geometries that admits a
trivial fundamental group. In 1982, Richard Hamilton (now of Columbia
University) proposed a possible strategy for proving it: Start with any
lumpy space, and then let it flow toward a uniform one. The result
would be a tidy "geometrized" space à la Thurston. To guide the flow,
Hamilton proposed a geometric evolution equation modeled after the heat
equation of physics and named it "Ricci flow" in honor of Gregorio
Ricci-Curbastro, an early differential geometer. In Ricci flow, regions
of high curvature tend to diffuse out into the regions of lower
curvature, until the space has equal curvature throughout.
Hamilton's strategy works perfectly in 2D surfaces. Slender "necks,"
like the one seen on the cover of this issue, always expand. In 3D
spaces, however, Ricci flow can run into snags. Necks sometimes pinch
off, separating the space into regions with different uniform
geometries. Although Hamilton did a great deal of pioneering work on
Ricci flow, he could not tame the singularities. As a result, the whole
program of research seemed to run aground in the mid-1990s. In 2000,
when the Clay Mathematics Institute named the Poincaré conjecture as
one of its $1 million Millennium Prize problems, most mathematicians
believed that no breakthrough was in sight.
Fascinating. A computer rendering of a 3D space with uniform hyperbolic geometry.
CREDIT: CHARLES GUNN/TECHNICAL UNIVERSITY BERLIN |
The breakthrough
In fact, Perelman was already well on his way to a solution. In 1995,
the 29-year-old St. Petersburg native had returned to Russia after a
3-year sojourn in the United States, where he had met Hamilton and
learned about Ricci flow. For the next 7 years, he remained mostly
incommunicado. Then, in November 2002, Perelman posted on the Internet
the first of three preprints outlining a proposed proof of the
geometrization conjecture.
To experts, it was immediately clear that Perelman had made a major
breakthrough. It was in the title of the first section of the first
paper: "Ricci Flow as a Gradient Flow." Perelman had spotted an
important detail that Hamilton had missed: a quantity that always
increases during the flow, giving it a direction. By analogy with
statistical mechanics, the mathematics underlying the laws of
thermodynamics, Perelman called the quantity "entropy."
The entropy ruled out specific singularities that had stymied Hamilton.
To reach a safe harbor, however, Perelman still had to identify the
remaining types of singularities that might cause problems. He had to
show that they occurred one at a time instead of accumulating in an
infinite pileup. Then, for each singularity, he had to show how to
prune and smooth it before it could sabotage Ricci flow. Those steps
would be enough to prove Poincaré. To complete the geometrization
conjecture, Perelman had to show, additionally, that the "Ricci flow
with surgery" procedure could be continued for an infinitely long time.
In 2003, when Perelman revisited the United States to lecture on his
work, many mathematicians doubted that he could have pulled off all of
these feats. By 2006, however, the mathematical community had finally
caught up. Three separate manuscripts, each more than 300 pages in
length, filled in key missing details of Perelman's proof.
Two of the papers--one authored by Bruce Kleiner and John Lott of the
University of Michigan, Ann Arbor, the other by John Morgan of Columbia
University and Gang Tian of the Massachusetts Institute of Technology
in Cambridge--stopped short of the geometrization conjecture, because
Perelman's explanation of the final step had been too sketchy. (Both
groups are still working on it.) They did, however, include enough math
to nail down the Poincaré conjecture.
The third paper, by Huai-Dong Cao of Lehigh University in Bethlehem,
Pennsylvania, and Xi-Ping Zhu of Zhongshan University in Guangzhou,
China, was less circumspect. Cao and Zhu claimed to have "the first
written account of a complete proof of the Poincaré conjecture and the
geometrization conjecture of Thurston." This summer, the International
Mathematical Union (IMU) decided to award Perelman the Fields Medal,
traditionally considered the highest honor in mathematics.
Anticlimax
Since then, the rosy glow of triumph has taken on darker hues. On 22
August, IMU President John Ball announced that Perelman had declined
the Fields Medal. In an interview in The New Yorker,
the reclusive mathematician said he was retiring from mathematics,
disenchanted by unspecified lapses in "ethical standards" by
colleagues. The New Yorker article also painted an
unflattering portrait of Yau, intimating that he had claimed too much
credit for his protégés Cao and Zhu.
In the ensuing months, hard feelings have abounded. Certain mathematicians claimed that their quotes were distorted in the New Yorker,
and Yau threatened to sue. Kleiner and Lott complained that Cao and Zhu
had copied a proof of theirs and claimed it as original, and the latter
pair grudgingly printed an erratum acknowledging Kleiner and Lott's
priority.
This fall, the American Mathematical Society attempted to organize an
all-star panel on the Poincaré and geometrization conjectures at its
January 2007 meeting in New Orleans, Louisiana. According to Executive
Director John Ewing, the effort fell apart when Lott refused to share
the stage with Zhu. Ewing still hopes to organize such an event "at
some time in the future." For the time being, however, the animosity
continues to make it hard for mathematicians to celebrate their
greatest breakthrough of the new millennium.
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Papers and Articles
- D. Mackenzie, "Perelman Declines Math's Top Prize; Three Others Honored in Madrid," Science 313, 1027 (2006)
- D. Mackenzie, "Mathematics World Abuzz Over Possible Poincare Proof," Science 300, 417 (2003)
- M. T. Anderson, "Geometrization of 3-Manifolds via the Ricci Flow" [PDF], Notices of the American Mathematical Society 51 (2), 184 (2004)
- H.-D. Cao and X.-P. Zhu, "A
Complete Proof of the Poincare and Geometrization Conjectures --
Application of the Hamilton-Perelman Theory of the Ricci Flow" [PDF], Asian Journal of Mathematics 10 (2), 165 (2006)
- B. Kleiner and J. Lott, "Notes on Perelman's Papers," arXiv.org: math.DG/0605667 (2006)
- J. Milnor, "Towards the Poincare Conjecture and the classification of 3-manifolds" [PDF], Notices of the American Mathematical Society 50 (10), 1226 (2003)
- J. Morgan and G. Tian, "Ricci Flow and the Poincare Conjecture," arXiv.org: math.DG/0607607 (2006)
- G. Perelman, "The Entropy Formula for the Ricci Flow and its Geometric
Applications," arXiv.org: math.DG/0211159 (2002)
- G. Perelman, "Ricci Flow with Surgery on Three-Manifolds," arXiv.org: math.DG/0303109 (2003)
- G. Perelman, "Finite Extinction Time for the Solutions to the Ricci Flow on Certain Three-Manifolds," arXiv.org: math.DG/0307245 (2003)
- S. Nasar and D. Gruber, "Manifold Destiny," New Yorker, 28 August 2006.
- D. Overbye, "An Elusive Proof and Its Elusive Prover," New York Times, 15 August 2006, F1.
- D. Overbye, "The Emperor of Math," New York Times, 17 October 2006, F1.
Interesting Web Sites
PoincaréConjecture
Overview of Poincaré conjecture, with links to several of the papers
and articles listed above. From the Clay Mathematics Institute.
Shing-Tung Yau
Site includes rebuttal by S.-T. Yau to the New Yorker article by Nasar and Gruber, as well as letters of support from several other mathematicians.
[
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2 DIGGING OUT FOSSIL DNA (化石DNA)
This year, on the 150th anniversary of the discovery of the Neandertal
type specimen, researchers in Europe and the United States transformed
the study of this ancient human by sequencing more than 1 million bases
of Neandertal DNA. In November, two groups, one decoding 65,000
Neandertal bases and the other a million bases, showed that researchers
can now find sequence changes between modern and ancient humans,
differences that may reveal key steps in our evolution. The studies
concluded that Neandertals diverged from our own ancestors at least
450,000 years ago--approximately the time suggested by fossil and
mitochondrial DNA studies. One group's data also suggest that
Neandertals and modern humans may have interbred. In the works are a
very rough draft of the complete Neandertal genome sequence and, as
more fossils become available to sequencers, the development of
bacterial libraries containing DNA from several Neandertals.
Family feud. DNA confirms that Neandertals split from modern humans 450,000 years ago.
FRANK FRANKLIN II/AP |
This breakthrough owes a large debt to earlier sequencing feats that
demonstrated the potential of a new approach called metagenomics for
deciphering ancient DNA, both human and nonhuman, and of faster
sequencing technologies. For metagenomics, a technique developed for
assessing microbial diversity, all the DNA in a sample is sequenced,
and then sophisticated computer programs pull out only the target DNA
based on its similarity to the sequence of a closely related extant
organism.
In January 2006, researchers combined metagenomics with a new rapid
sequencing technique called pyrosequencing, which uses pulses of light
to read the sequence of thousands of bases at once, to get a whopping
13 million bases from a 27,000-year-old mammoth. The same sample also
yielded another 15 million bases from bacteria, fungi, viruses, soil
microbes, and plants--DNA that will provide clues about this giant
mammal's environment. With those two advances, ancient DNA sequencing
is off and running.
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Papers and Articles
- R.E. Green et al., "Analysis of One Million Base Pairs of Neanderthal DNA," Nature 444, 330 (2006)
- J.P. Noonan et al., "Sequencing and Analysis of Neanderthal Genomic DNA," Science 314, 1113 (2006)
- E. Pennisi, "The Dawn of Stone Age Genomics," Science 314, 1068 (2006)
- H.N. Poinar et al., "Metagenomics to Paleogenomics: Large-Scale Sequencing of Mammoth DNA ," Science 311, 392 (2006)
- J.P. Noonan et al., "Genomic Sequencing of Pleistocene Cave Bears," Science 309, 597 (2005)
- E. Pennisi, "Reading Ancient DNA the Community Way," Science 308, 1401 (2005)
Interesting Web Sites
National Geographic: Neanderthals
A comprehensive resource of news, research, and other neanderthal-related information.
NOVA: Neanderthals on Trial
The companion Web site to a PBS film that probes the enigma of our Neanderthal cousins and the roots of our own ancestry.
Timeline in the Understanding of Neanderthals
A timeline of discoveries relating to Neanderthals.
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3 SHRINKING ICE (冰川融化)
Glaciologists nailed down an unsettling observation this year: The
world's two great ice sheets--covering Greenland and Antarctica--are
indeed losing ice to the oceans, and losing it at an accelerating pace.
Researchers don't understand why the massive ice sheets are proving so
sensitive to an as-yet-modest warming of air and ocean water. The
future of the ice sheets is still rife with uncertainty, but if the
unexpectedly rapid shrinkage continues, low-lying coasts around the
world--including New Orleans, South Florida, and much of
Bangladesh--could face inundation within a couple of centuries rather
than millennia.
Bye-bye. The great ice sheets are losing ice to melting and icebergs faster than it forms.
CREDIT: RICHARD ALLEY/PENN STATE UNIVERSITY |
This disturbing breakthrough rests on decades of measurements by
airborne laser altimeters and orbiting radars, and, more recently, by a
pair of satellites that measure ice mass directly by its gravitational
pull. Different techniques and even different analyses of the same data
disagree about just how much ice volume is changing. All of them,
however, now show that both Greenland and Antarctica have been losing
ice over the past 5 to 10 years. In the north, Greenland is shedding at
least 100 gigatons each year. In the south, the figure is less certain
but lies in the range of tens of gigatons per year or more.
Current ice sheet losses aren't raising sea level faster than 0.1 meter
per century, but researchers fear that the rate could rise to a meter
per century or more in the near future. As recently as 5 years ago,
they assumed that global warming would simply melt more and more ice
from the ice sheets, as it is melting mountain glaciers. But it turns
out the ice isn't just melting faster, it is moving faster. Radar
mapping shows that in recent years, glaciers carrying ice away from the
sheets have sped up by as much as 100%. In West Antarctica, warming
ocean waters seem to have attacked the floating tongues of ice that
hold back the ice sheet's outlet glaciers. Around southern Greenland,
something else seems to be quickening the pace of outlet glaciers,
perhaps lubrication by increasing amounts of surface meltwater seeping
to a glacier's base.
Now glaciologists are wondering how the next chapter will play out.
Will the relatively strong warming around the ice continue, or will it
be weakened by natural variations of climate? Will the ice sheets
adjust to the new warmth by eventually slowing their ice loss? And will
more glaciers succumb to the spreading warmth? A few more breakthroughs
are definitely in order.
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Papers and Articles
- R. Kerr, "A Worrying Trend of Less Ice, Higher Seas," Science 311, 1698 (2006)
- E. Rignot, P. Kanagaratnam, "Changes in the Velocity Structure of the Greenland Ice Sheet," Science 311, 986 (2006)
- S. B. Luthcke et al., "Recent Greenland Ice Mass Loss by Drainage System from Satellite Gravity Observations," Science 314, 1286 (2006)
- J. L. Chen et al., "Antarctic Mass Rates from GRACE," Geophysical Research Letters 33, L11502 (2006)
Interesting Web Sites
National Snow and Ice Data Center
The West Antarctic Ice Sheet Initiative
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4 NEITHER FISH NOR FOWL (鱼迈出的第一步)
Paleontologists made a major splash this year with the debut of a
fossil fish that long ago took a deep breath and made some tentative
but ultimately far-reaching steps onto land. With its sturdy, jointed
fins, the 375-million-year-old specimen fills an evolutionary gap and
provides a glimpse of the features that helped later creatures conquer
the continents.
Transitional. Odd fossil fish bears features of amphibians.
CREDIT: KALLIOPI MONOYIOS |
All limbed vertebrates, known as tetrapods, evolved from lobe-finned
fishes some 370 million to 360 million years ago. Many of these
sophisticated fishes had skeletons with modifications, such as enlarged
bones in their fins, that would ultimately prove useful for
weight-bearing limbs. The new species is the most tetrapodlike fish yet
discovered.
Three specimens were found during a 2004 field expedition to Ellesmere
Island in the far north of Nunavut, Canada. They were named Tiktaalik roseae for "large freshwater fish" in the Inuktitut language and a donor who
helped fund the expedition, respectively. With fins and scales, the
3-meter-long Tiktaalik is clearly a fish. It had a flat head with eyes on top and lived in shallow streams.
What makes Tiktaalik unique among fish is that each of the front fins has a wrist and elbow, providing flexible motion. Also unlike other fish, Tiktaalik sported a neck--the oldest one known in the fossil record--and could
move its head. Achieving that flexibility required losing a bone called
the operculum, which modern fish use to pump water over their gills. Tiktaalik still had well-developed gills, and it probably used its neck and stout limbs to push its head above water to inhale.
Another feature that makes Tiktaalik close kin to tetrapods is its robust, overlapping ribs. Although their
function isn't completely clear, researchers think they could have
helped support its body out of water and aided in breathing. Forays
onto land would have offered an escape from sharks and other predators,
as well as insects to eat. Tiktaalik isn't a perfect
tetrapod, of course--among other traits, it lacks fingers and toes--but
it was certainly a big step in the right direction.
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Papers and Articles
Interesting Web Sites
Tiktaalik roseae
The online home of the celebrated fishopod, including background
information, notes about the expedition to find the fossils, and a
photo gallery. Hosted at the University of Chicago.
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5 THE ULTIMATE CAMOUFLAGE (隐形技术)
Science veered toward science fiction this year as physicists cobbled
together the first rudimentary invisibility cloak. Although far from
perfect--the ring-shaped cloak is invisible only when viewed in
microwaves of a certain wavelength traveling parallel to the plane of
the ring--the device could usher in a potentially revolutionary
approach to manipulating electromagnetic waves.
The disappearing act began in May, when two independent analyses
predicted that it should be possible to ferry electromagnetic waves
around an object to hide it. All that was needed was a properly
designed shell of "metamaterial," an assemblage of tiny metallic rods
and c-shaped rings. The waves churn the electrons in the rods and
rings, and the sloshing affects the propagation of the waves. Both
analyses specified how to sculpt the properties of the metamaterial and
left it to experimenters to design the materials to meet those specs.
Outta sight. Although not as fashionable as this electronic garment, a cloak unveiled this year is a step toward true invisibility.
CREDIT: SHIZUO KAMBAYASHI/AP |
In October, the team that made one of the predictions did just
that--almost. Physicists at Duke University built a ring instead of an
all-concealing sphere. They made some approximations that rendered the
cloak slightly reflective. Still, the thing whisked microwaves around a
plug of copper, proving that the method works. Cloaks for visible light
are likely years off, as researchers must figure out how to make
metamaterials that work at such short wavelengths. Even then, the cloak
would be a bust for spying because it would be impossible to see out of
it.
The real breakthrough may lie in the theoretical tools used to make the
cloak. In such "transformation optics," researchers imagine--?la
Einstein--warping empty space to bend the path of electromagnetic
waves. A mathematical transformation then tells them how to mimic the
bending by filling unwarped space with a material whose optical
properties vary from point to point. The technique could be used to
design antennas, shields, and myriad other devices. Any way you look at
it, the ideas behind invisibility are likely to cast a long shadow.
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Papers and Articles
- U. Leonhardt, "Optical Conformal Mapping," Science 312, 1777 (2006)
- J. B. Pendry et al., "Controlling Electromagnetic Fields," Science 312, 1780 (2006)
- A. Cho, "News: High-Tech Materials Could Render Objects Invisible," Science 312, 1120 (2006)
- D. Schurig et al., "Metamaterial Electromagnetic Cloak at Microwave Frequencies," Science 314, 977 (2006)
- A. Cho, "Voilà! Cloak of Invisibility Unveiled," Science 314, 403 (2006)
Interesting Web Sites
First Demonstration of a Working Invisibility Cloak
Page at Duke University press office site describing the Schurig et al. experiments; includes a video discussion outlining what was accomplished.
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6 A RAY OF HOPE FOR MACULAR DEGENERATION PATIENTS (黄斑病变患者的希望)
The year brought good news to the many people suffering from the
vision-robbing disease known as age-related macular degeneration
(AMD).In October,
The New England Journal of Medicine published the results of two clinical trials showing that treatment
with the drug ranibizumab improves the vision of roughly one-third of
patients with the more serious wet form of AMD and stabilizes the
condition of most of the others. Other approved treatments can only
slow the progression of AMD.
CREDITS: GREGORY HAGEMAN; NATIONAL EYE INSTITUTE, NATIONAL INSTITUTES OF HEALTH
Vision loss in the wet form of AMD is caused by the growth and leakage
of abnormal blood vessels in the macula, the central region of the
retina. Ranibizumab, a monoclonal antibody fragment produced by
Genentech Inc. does better than other treatments because it
specifically targets a protein called VEGF that stimulates that vessel
growth. The U.S. Food and Drug Administration approved ranibizumab for
AMD treatment this year, but researchers are also looking at a related
antibody made by Genentech. That drug, known as bevicizumab, is
approved for treating certain cancers but so far not for use in AMD. If
it works, however, it could be a cheaper alternative to ranibizumab,
which costs $1950 per monthly dose.
AMD researchers are making progress on another front as well. Over the
past year and a half, they have uncovered several genes that influence
an individual's susceptibility to the eye disease. One of them is the
gene for VEGF itself, and another makes a protein that might also help
regulate blood vessel growth. In addition, several groups have zeroed
in on genes encoding proteins involved in inflammation, which can
damage tissues if not controlled properly. Identifying those genes
could help physicians determine whether a person is at high risk for
AMD and thus should take preventive steps such as consuming more
antioxidants and not smoking. And by shedding light on the causes of
AMD, genetic studies should also provide targets for devising even
better therapies.
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Papers and Articles
- J. Marx, "A Clearer View of Macular Degeneration," Science 311, 1704 (2006)
- P.J. Rosenfeld et al., "Ranibizumab for Neovascular Age-Related Macular Degeneration," N. Eng. J. Med. 355, 1419 (2006)
- D.M. Brown et al., "Ranibizumab versus Verteporfin for Neovascular Age-Related Macular Degeneration," N. Eng. J. Med. 355, 1432 (2006)
- A. DeWan et al., "HTRA1 Promoter Polymorphism in Wet Age-Related Macular Degeneration," Science 314, 989 (2006)
- Z. Yang et al., "A Variant of the HTRA1 Gene Increases Susceptibility to Age-Related Macular Degeneration," Science 314, 992 (2006)
- J. Marx, "Gene Offers Insight Into Macular Degeneration," Science 314, 405a (2006)
- A. Rivera et al., "Hypothetical LOC387715 is a Second Major Susceptibility Gene for Age-Related Macular
Degeneration, Contributing Independently of Complement Factor H to
Disease Risk ," Hum. Mol. Genet. 14, 3227 (2005)
- R.J. Klein et al., "Complement Factor H Polymorphism in Age-Related Macular Degeneration," Science 308, 385 (2005)
- J.L. Haines et al., "Complement Factor H Variant Increases the Risk of Age-Related Macular Degeneration ," Science 308, 419 (2005)
- A.O. Edwards et al., "Complement Factor H Polymorphism and Age-Related Macular Degeneration," Science 308, 421 (2005)
Interesting Web Sites
Medline Plus: Macular Degeneration
A comprehensive resource that includes an interactive tutorial (requires Flash Player) and links to information about diagnosis, treatment, and research.
Age-Related Macular Degeneration
An online resource guide from the National Eye Institute.
Macular Degeneration Parternship
An outreach program providing comprehensive news and information about the disease.
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7 DOWN THE BIODIVERSITY ROAD (生物多样性)
It doesn't take much to send an organism down speciation's path.
Several studies these past 12 months have uncovered genetic changes
that nudge a group of individuals toward becoming a separate species by
giving them an edge in a new environment. The year's results speak to
the power of genomics in helping evolutionary biologists understand one
of biology's most fundamental questions: how biodiversity comes about.
For Florida beach mice, a single base difference in the melanocortin-1
receptor gene accounts for up to 36% of the lighter coat color that
distinguishes the beach mice, evolutionary biologists reported in July.
For cactus finches, the activity of the calmodulin gene is upregulated,
causing their relatively long beaks, researchers reported in August.
Genes help drive speciation in other ways as well. Since the late
1930s, researchers have realized that as two incipient species diverge,
the sequences of two or more interacting genes can evolve along
different paths until the proteins they encode no longer work together
in any crossbred offspring. Working with Drosophila melanogaster and a sister species, D. simulans,
evolutionary geneticists have pinpointed the first such pair of
incompatible genes, demonstrating in transgenic flies the genes'killing
effects in hybrids of the two species. In October, a separate team
found another fast-evolving gene and is homing in on its partner. They
both seem to be nuclear pore proteins that are no longer compatible in
fruit-fly hybrids. In September, fruit-fly researchers found that
hybrids had problems because a particular gene was in a different place
in the two species, likely because of duplication and loss of the
original copy in one of them.
CREDIT: MAURICIO LINARES
But in at least one case, hybrids do just fine. In June, evolutionary
biologists detailed the most convincing case yet of a species that
arose through hybridization. They bred two species of passion vine
butterflies and got the red and yellow stripe pattern of a third
species (image above). The pattern proved unattractive to the parent
species, helping to reproductively isolate the hybrid.
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Papers and Articles
- H.E. Hoekstra et al., "A Single Amino Acid Mutation Contributes to Adaptive Beach Mouse Color Pattern," Science 313, 101 (2006)
- A. Abzhanov et al., "The Calmodulin Pathway and Evolution of Elongated Beak Morphology in Darwin's Finches," Nature 442, 563 (2006)
- J.P. Masly et al., "Gene Transposition as a Cause of Hybrid Sterility in Drosophila," Science 313, 1448 (2006)
- D.C. Presgraves and W. Stephan, "Pervasive Adaptive Evolution Among Interactors of the Drosophila Hybrid Inviability Gene, Nup96," Mol. Biol. Evol., published online on October 20, 2006
- N.J. Brideau et al., "Two Dobzhansky-Muller Genes Interact to Cause Hybrid Lethality in Drosophila," Science 314, 1292 (2006)
- E. Pennisi, "Two Rapidly Evolving Genes Spell Trouble for Hybrids," Science 314, 1238 (2006)
- J. Mavárez et al., "Speciation by Hybridization in Heliconius Butterflies," Nature 441, 868 (2006)
Interesting Web Sites
Evolution 101
A comprehensive educational resource on the patterns and mechanisms of evolution provided by the University of California Museum of Paleontology and the National Center for Science Education.
Kimball's Biology Pages: Speciation
Outlines to role of geographic isolation, ecological opportunity,
hybridization, competition, and adaptive radiation in the formation of
new species.
Evolution in Action [Requires Flash Player]
An interactive feature from NOVA Online that shows how random mutations can lead to species-wide change.
FlyBase
A database of Drosophila genes and genomes.
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8 PEERING BEYOND THE LIGHT BARRIER (显微学的新前沿)
Biologists got a clearer view of the fine structure of cells and
proteins this year, as microscopy techniques that sidestep a
fundamental limit of optics moved beyond proof-of-principle
demonstrations to biological applications. The advances could open a
new realm of microscopy.
An ordinary microscope cannot resolve features smaller than half the
wavelength of the light used to illuminate an object--about 200
nanometers for visible light. For years, physicists and engineers have
devised schemes to get around the "diffraction limit," and this year,
researchers used those techniques to do some real biology.
Clearly. New microscopy techniques resolve nanometer-sized features of proteins.
CREDIT: E. BETZIG ET AL./SCIENCE (2006) |
In April, researchers in Germany used a technique known as stimulated
emission depletion (STED) to study the tiny capsules in nerve cells
called synaptic vesicles. Each vesicle releases its load of
neurotransmitter when it merges into the cell membrane. The team showed
that a protein in the vesicle remains clumped after the merger,
suggesting that the clumps do not form from scratch when the process
reverses to form new vesicles. The researchers tagged the proteins with
a fluorescent dye and zapped the specimen with laser light to excite a
spot as small as the diffraction limit allows. Then, by applying a
pulse from a second beam with a dark "hole" in the middle, they
squeezed the fluorescent spot down to a much smaller pinpoint of light.
By scanning the beams across the sample and recording the level of
fluorescence, the researchers assembled an image with a resolution of
tens of nanometers. The team followed up with two other biological
studies.
In August, another team imaged proteins within cells using a simpler
technique known as photoactivated localization microscopy (PALM). The
researchers used a fluorescent tag that had to be turned on with a
pulse of light of one wavelength before it could be excited to
fluoresce by light of another wavelength. By applying the first laser
at a very low level, the researchers could turn on one tag molecule at
a time. The molecule still produced a blurry spot when viewed through
the microscope, but the researchers could nail down its position very
precisely by finding the center of the blob. Repeating the process over
and over, the team mapped proteins in cells with nanometer resolution.
Two other groups introduced similar techniques this year.
Just how widely the techniques will be used remains to be seen. PALM is
too slow to track dynamic processes, and STED requires fluorescent tags
that can withstand intense excitation. Still, researchers are
optimistic that more applications will follow, now that the diffraction
limit is no longer a limit.
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Papers and Articles
- K. I. Willig et al., "STED Microscopy Reveals that Synaptotagmin Remains Clustered after Synaptic Vesicle Exocytosis," Nature 440, 935 (2006)
- R. J. Kittel et al., "Bruchpilot Promotes Active Zone Assembly, Ca2+ Channel Clustering, and Vesicle Release," Science 312, 1051 (2006)
- G. Donnert et al., "Macromolecular-Scale Resolution in Biological Fluorescence Microscopy," Proceedings of the National Academy of Science 103, 11440 (2006)
- E. Betzig et al. "Imaging Intracellular Fluorescent Proteins at Nanometer Resolution," Science 313, 1642 (2006)
- M. J. Rust et al., "Sub-Diffraction-Limit Imaging by Stochastic Optical Reconstruction Microscopy (STORM)," Nature Methods 3, 793 (2006)
- S. T. Hess et al., "Ultra-High Resolution Imaging by Fluorescence Photoactivation Localization Microscopy," Biophysical Journal 91, 4258 (2006)
Interesting Web Sites
STED Microscopy
Page
from the Department of NanoBiophotonics of the Max Planck Institute for
Biophysical Chemistry; includes useful descriptions of how STED
"overcomes the diffraction limit in a fundamental way."
New Microscope Sharpens Scientists' Focus
News release on PALM technology, from the Howard Hughes Medical Institute."
[Back To Top]
9 THE PERSISTENCE OF MEMORY (记忆形成)
How the brain records new memories is a central question in
neuroscience. One attractive possibility involves a process called
longterm potentiation (LTP) that strengthens connections between
neurons. Many neuroscientists suspect that LTP is a memory mechanism,
but proving it hasn't been easy. Several findings reported this year
strongly bolstered the case.
Record keeper. Learning and LTP go hand in hand in the rodent hippocampus.
CREDIT: BRAINMAPS.ORG |
Scientists discovered LTP in the early 1970s, when experiments with
rabbits showed that a brief barrage of electrical zaps could bolster
synaptic connections between neurons in the hippocampus, a brain region
tied to memory. Later studies revealed that drugs that block LTP, when
given to an animal before it learns a new task, prevent new memories
from being formed.
But some predictions of the LTP-memory hypothesis have been harder to
test. One is that it should be possible to observe LTP in the
hippocampus when an animal learns something. In January, Spanish
scientists reported just such an observation in mice conditioned to
blink upon hearing a tone. In August, another research team described
LTP in the hippocampus of rats that had learned to avoid an area where
they'd previously received a shock.
A study published in August addressed another prediction: that abolishing LTP after learning should erase what was learned. Researchers injected a compound
that blocks an enzyme needed to sustain LTP into the hippocampus of
rats after they'd been trained to avoid a "shock zone" in their
enclosure. The treatment eradicated both LTP and the memory of the
shock zone's location.
Although the new results add to evidence that LTP is a molecular
mechanism of memory, much work remains. For example, researchers still
haven't figured out how the many forms of LTP identified in brain
tissue relate to different kinds of memory. And they may have a while
to wait for the ultimate test, which some call the "Marilyn Monroe
criterion": inducing LTP at select synapses to create the vivid memory
of an event, such as an evening with the voluptuous movie star, that
never happened.
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Papers and Articles
- A. Gruart et al., "Involvement of the CA3-CA1 Synapse in the Acquisition of Associative Learning in Behaving Mice," J. Neurosci. 26, 1077 (2006)
- J.R. Whitlock et al., "Learning Induces Long-Term Potentiation in the Hippocampus," Science 313, 1093 (2006)
- E. Pastalcova et al., "Storage of Spatial Information by the Maintenance Mechanism of LTP," Science 313, 1141 (2006)
- T.V.P. Bliss et al., "ZAP and ZIP, a Story to Forget," Science 313, 1058 (2006)
- T.V.P. Bliss and T. Lomo, "Long-Lasting
Potentiation of Synaptic Transmission in the Dentate Area of the
Anaesthetized Rabbit Following Stimulation of the Perforant Path," J. Physiol., 232, 331 (1973) [PubMed Central]
Interesting Web Sites
Learning, Memory, and Long-Term Potentiation
A section from Kimball's Biology Pages.
How Memory Works: Long-Term Potentiation
An overview from B. Dubuc's The Brain From Top to Bottom.
The Molecular Basis of Learning and Memory
A section in the neurobiology unit of Annenberg Media's online textbook Rediscoving Biology.
[Back To Top]
10 MINUTE MANIPULATIONS (新的一类小RNA)
Small RNA molecules that shut down gene expression have been hot, hot,
hot in recent years, and 2006 was no exception. Researchers reported
the discovery of what appears to be a new and still-mysterious addition
to this exclusive club:
Piwi-interacting
RNAs (piRNAs). Abundant in the testes of several animals, including
humans, piRNAs are distinctly different from their small RNA cousins,
and scientists are racing to learn more about them and see where else
in the body they might congregate.
PiRNAs made their grand entrance last summer, when four independent
groups released a burst of papers describing them. In a sense, their
sudden prominence is not surprising. The Piwi genes to which piRNAs bind belong to a gene family called Argonaute,
other members of which help control small RNAs known as microRNAs
(miRNAs) and small interfering RNAs (siRNAs). Scientists already
believed that the Piwi genes regulate the development and
maintenance of sperm cells in many species. With the discovery of
piRNAs, they may be close to figuring out how that happens.
Particularly intriguing to biologists is the appearance of piRNAs: Many
measure about 30 RNA bases in length, compared with about 22
nucleotides for miRNAs and siRNAs. Although that may not sound like
much of a difference, it has gripped biologists and convinced them that
piRNAs are another class of small RNAs altogether. Also striking is the
molecules' abundance and variety. One group of scientists found nearly
62,000 piRNAs in rat testes; nearly 50,000 of those appeared just once.
CREDIT: BERNARD HOFFMAN/TIME LIFE PICTURES/GETTY IMAGES
But beyond characterizing what piRNAs look like and finding hints that
they can silence genes, scientists are mostly in the dark. Still to be
determined: where they come from, which enzymes are key to their birth,
and perhaps most important, what they do to an organism's genome. Stay
tuned.
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Papers and Articles
- A. Girard et al., "A Germline-Specific Class of Small RNAs Binds Mammalian Piwi Proteins," Nature 442, 199 (2006)
- A. Aravin et al., "A Novel Class of Small RNAs Bind to MILI Protein in Mouse Testes," Nature 442, 203 (2006)
- S.T. Grivna et al., "A Novel Class of Small RNAs in Mouse Spermatogenic Cells," Genes Dev. 20, 1709 (2006)
- N.C. Lau et al., "Characterization of the piRNA Complex from Rat Testes; Science 313, 363 (2006)
- R.W. Carthew, "A New RNA Dimension to Genome Control," Science 313, 305 (2006)
- V.N. Kim, "Small RNAs Just Got Bigger: Piwi-Interacting RNAs (piRNAs) in Mammalian Testes," Genes Dev. 20, 1993 (2006)
- S.T. Grivna et al., "MIWI Associates with Translational Machinery and PIWI-Interacting RNAs (piRNAs) in Regulating Spermatogenesis," Proc. Natl. Acad. Sci. U.S.A. 103, 13415 (2006)
Interesting Web Sites
The RNA World Website
Substantial collection of Web links to an array of RNA-related resources, from databases to tutorials; maintained by the Fritz-Lipmann Institute.
The RNA Society
Selected Labs
Gregory Hannon (Cold Spring Harbor Laboratory)
Thomas Tuschl (Rockefeller University)
David Bartel (MIT)
Robert Kingston (Massachusetts General Hospital/Harvard Medical School)
Haifan Lin (Yale Stem Cell Center)
[Back To Top]