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CISAC faculty member Lawrence M. Wein works at solving mathematical problems posed by potential terrorist attacks.

It's been said that World War I was the chemists' war and World War II the physicists' war, but that World War III is destined to be the mathematicians' war.

With the gravest threat to U.S. security now posed by rogue terrorists who simultaneously hold a grudge and have access to weapons of mass destruction, some of this country's prime human calculators are on the case.

Combatting terrorism not with mortars and missiles but with mathematical models, they intend to prove this theorem: There literally is safety in numbers.

In their vanguard is an amiable Stanford University professor who, by devoting himself to the application of math principles to doomsday scenarios, is beginning to acquire the nickname "Dr. Doom." The attacks of Sept. 11 inspired mathematician Lawrence Wein to channel his expertise into some of the most compelling questions of our time.

He has ciphered the risks of our "woefully inadequate" inspection of container ships, assessed the effectiveness of border-control fingerprint checks to spot terrorists, and performed what may well be the first math analyses of hypothetical botulism, anthrax and smallpox contaminations.

Recall the agitation last year over warnings that the nation's milk supply was vulnerable, based on the calculation that one terrorist with a few grams of botulinum could contaminate a tanker and potentially poison 100,000 gallons of milk? That's just one of many tidings of comfort and joy brought to you by Wein.

Another such upper is that just about 6 percent of containers shipped into U.S. ports will be categorized as suspicious and subjected to tests for a nuclear device, based on a system that relies largely on reporting by the shipper. The rest, Wein noted, "just waltz right into the country without an inspector laying an eye on them."

At Stanford's Graduate School of Business, he teaches a core course in operations, and he says the parallels are strikingly similar: Just as McDonald's needs a well-designed distribution system to get its hamburgers out quickly, so the government needs a well-designed distribution system to get vaccines and antibiotics to citizens who might sicken or die from a bioterror attack. In math lingo, some of these computations rest on "queueing theory" -- the notion that a lot of needy people must line up behind a limited number of distributors.

And what do we do after crunching millions of numbers to arrive at specific prescriptions? Wein has taken on the role of necessary nag to a torpid federal bureaucracy and recalcitrant industries.

In fact, the feds scrambled to try to suppress publication of his damning milk study as a threat to national security -- an argument the journal Proceedings of the National Academy of Sciences rejected before publishing the work.

These days, Wein regularly testifies at congressional hearings, addresses scientific forums and pens op-ed pieces in national newspapers about precisely what the government should be doing -- and where it is falling short.

"I believe my work demonstrates that numbers really matter, and we need to pay attention to what they tell us," said Wein, a critic of the federal government's homeland security failures in key areas, particularly at the ports. "I really don't bring my own personal political views into this -- I would be just as critical of the federal bureaucracy if a Democrat were in the White House.

"Bureaucracy just isn't designed to respond nimbly."

On the other hand, politicians are eager to do something, anything, that might thwart a terror attack or save lives. But in an information vacuum, that makes them easy prey for entrepreneurs hawking all kinds of safety gadgets.

So, much of Wein's math analysis goes beyond documenting threats to assess the most effective, cost-efficient remedies.

Take the milk scare, for example. Wein urged the government to mandate that milk tanks and trucks be locked, that two people be present when it is transferred along each part of the supply chain, and that milk truck drivers use a 15 minute test to detect any toxins. The estimated cost of all this: 2 cents per gallon.

Some other experts disputed Wein's assumptions, and dairy industry groups insisted they already had taken extra steps such as raising pasteurization temperatures to secure the milk supply. They dismissed the scenarios Wein described as "highly unlikely or impossible."

To avoid being victimized by a radioactive device aboard a tanker -- otherwise known as a "poor man's missile" -- he and colleague Stephen Flynn of the Council on Foreign Relations advocate using techniques such as gamma-ray imaging to screen 100 percent of containers. They calculate the cost at $7 per container.

Some of Wein's calculations have translated into real reform.

In 2004, he presented to the White House his findings that the system of collecting only two fingerprints from incoming foreign visitors ran a high risk of missing terrorists because so many prints turned out to be of poor quality. His solution was simple: Take prints from all 10 digits. The government adopted it.

His 2003 research into the most effective response to an anthrax attack prompted pilot programs that are now testing his finding that the best way to widely distribute antibiotics would be by mail carriers, who already go door to door.

Albert Einstein once observed: "As far as the laws of mathematics refer to reality, they are not certain; and as far as they are certain, they do not refer to reality."

And sure enough, one of the impediments to fighting terrorists with mathematics is the paucity of hard data.

An anthrax scenario illustrates the point. Estimates of fatalities per kilogram of poisonous agent released vary from a low of zero to a high of 660,000. That's because of variables: the dose required to cause infection, the percentage of people who survive infection, the degree of aerosol dispersion, the density of the population, the environmental stability of the agent and the effectiveness of a public health system response.

As Wein acknowledges, "It's not like we can do massive clinical trials on this."

The trail of what-ifs is so convoluted that in 2002 the National Academy of Sciences cited "an irreducible uncertainly of several orders of magnitude in the number of people who will be infected in an open-air release."

This makes some experts suspicious of anybody's calculations, even from a researcher with a pedigree like Wein's.

"With so much uncertainly surrounding the outcome of a bioweapons attack, it does not make sense to plan extensive biodefense programs when more-certain public threats, particularly those involving nuclear weapons, require attention," argued Allison Macfarlane, research associate in the Science, Technology and Global Security Working Group at MIT.

But Wein is undeterred, and is busy on new assessments. Yet he insists his work has not impaired his ability to sleep soundly.

"People really are much more likely to suffer from cancer than a terrorist attack, but that doesn't merit the same attention," he said. "We should do what makes sense to protect ourselves from both."

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On November 13-14, 2006, the Stanford Project on Regions of Innovation and Entrepreneurship (SPRIE) of Stanford University and the Industrial Technology Research Institute (ITRI) together with the School of Technology Management, National Tsing Hua University, will co-sponsor an invitation-only workshop at Stanford University.

Deadlines and Proposal Submission Guidelines

  • Paper proposals are due by July 31; notification of acceptance will be by Aug. 18; papers are due Oct. 31
  • Papers will be considered for inclusion in the proceedings, which will be published in English by SPRIE.
  • Paper proposals should be 1-2 pages long (single-spaced) and in English; include with your proposal citations of your recent and related publications.
  • Submit your proposal in .pdf format; send via electronic mail with the subject "November workshop proposal" to sprie-stanford@stanford.edu. Be sure your proposal arrives in time for the July 31 deadline or it will likely not be considered!
  • Academic presenters of papers will receive a sum that serves both as an honorarium and as support for travel expenses from the home institution to Stanford. Those whose travel across the Pacific or Atlantic will receive $2,000; those who travel from within the contiguous United States will receive $1,800, and those from the Bay Area will receive $1000; lodging and food will be covered by the organizers. Note that papers with multiple authors only receive one honorarium.
Theme

Leading high tech regions face the challenge of sustaining their competitive position amidst shifts in the global knowledge economy. Their ability to create/re-create their edge depends in large measure on the ability to foster innovation and entrepreneurship--to respond to challenges and opportunities presented by competition and collaboration with rising high tech regions as well as to innovate in technologies, services, processes, strategies and business models. The workshop will concentrate on three topics:

Indicators and Analysis of Regional Innovation and Entrepreneurship

  • What are the core strengths and weaknesses of major high tech regions now facing the challenge of sustainability? How are they evolving? Which indicators best reveal regional attributes and trends and how can we improve the collection of such data?
  • What key factors are determining the development of these regions and how is each region's performance in innovation and/or entrepreneurship?
  • What indicators point to the next stage of development for these regions?
Policies, Strategies, Models
  • How are regions responding to pressing challenges and opportunities? How are regional leaders reinventing strategies, exploring new practices, and developing new models?
  • How effective have government policies (national and local) been in fostering productive high tech regions? What are similarities and differences in these policies across regions/countries?
Global Linkages
  • High tech regions are connected through people, technology and capital, linkages that have become both more important and more complex.
  • How do multinationals, hybrid firms and local firms use linkages of people, technology and capital to enhance their competitive advantage? What new business models have emerged recently?
  • What forces nurture or inhibit these global high tech linkages? What kinds of processes and networks are at play and what is their impact on the vitality and sustainability of regions?

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Stanford University

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Despite its threat of severe consequences, the Bush administration has little leverage to use on North Korea to keep it from testing a long-range missile and few ways to punish the nuclear-armed nation if it proceeds. Daniel C. Sneider, associate director for research at Shorenstein APARC, comments.

WASHINGTON - Despite its threat of severe consequences, the Bush administration has little leverage to use on North Korea to keep it from testing a long-range missile and few ways to punish the nuclear-armed nation if it proceeds.

The United States has no diplomatic or economic ties with North Korea, the rudimentary U.S. missile-defense system is untested in real-world conditions and Pyongyang is regarded as having a right to test missiles, making any American attack to forestall a launch an act of war with potentially explosive consequences.

"The United States could try to shoot down the rocket, but good luck,'' said Wonhyuk Lim of the Brookings Institution, a policy-research organization in Washington.

The dearth of options illustrates the limits of the administration's pre-emption strategy and its need to rely on the cooperation of others -- especially given the strains on the U.S. military from Iraq and Afghanistan -- to contain threats.

Washington hopes that the world's only Stalinist regime will heed demands by the United States, South Korea, Japan, Russia and China to uphold a self-imposed 1999 moratorium on missile tests and rejoin talks on curbing its nuclear program in return for security guarantees and economic and political benefits.

At the same time, the administration is reviewing its options should the Kim Jong Il regime test-fire what U.S. officials describe as a multi-stage Taepodong-2 missile, thought to be capable of reaching Alaska.

"The launch of a missile would be a provocation,'' Assistant Secretary of Defense Peter Rodman said Thursday during a House Armed Services Committee hearing. "If such a launch took place, we would seek to impose some cost on North Korea.''

Rodman declined to say what Washington would do. Experts said that even the imposition of sanctions by the United States would be largely symbolic.

They think that North Korea would not have readied the missile for flight unless it had decided it could live with the consequences.

"It probably means they are not worried about the American reaction,'' said Daniel C. Sneider of Stanford University's Shorenstein Asia-Pacific Research Center. "There is nothing that the United States can do to them.''

The United States has no diplomatic relations or financial assistance it can threaten to cut, and it suspended contributions to international food aid for North Korea last year.

The administration has moved against Pyongyang by trying to halt its missile sales to other countries, its alleged international narcotics trafficking, and its alleged counterfeiting of U.S. currency, cigarettes and over-the-counter drugs.

Under American pressure, banking regulators in February froze North Korean accounts at the Banco Delta Asia, a Macao bank that the U.S. Treasury Department accused of laundering North Korea's ill-gotten gains.

Other banks, anxious to avoid American scrutiny, reportedly have curtailed business with North Korea.

David L. Asher, a former Treasury Department official who oversaw the crackdown on North Korea's alleged illicit dealings, said the United States could respond to a test with an intensified campaign against Pyongyang's alleged international criminal activities that would hurt the ruling elite.

"Do not underestimate the impact of the financial pressure we could put on them,'' said Asher, a scholar with the Institute for Defense Analyses, a policy-research organization.

Washington is counting on Japan, which also is threatened by Pyongyang's nuclear arms and missile programs, to react to a launch by closing ports to North Korean ships and shutting off remittances by ethnic Koreans to relatives in North Korea. But those measures are expected to have limited impact.

A North Korean missile test in 1998 prompted Japan to boost missile-defense cooperation with the United States, and experts said a new launch probably would prompt Washington and Tokyo to forge even closer military ties.

The only nations that could tighten the screws significantly are China and South Korea, North Korea's main foreign trading partners and aid donors.

But while Seoul and Beijing would be outraged, because a missile test would effectively kill hopes of restarting talks on containing North Korea's nuclear arms program, they are unlikely to take any step that could rock Pyongyang.

Both are anxious to avoid destabilizing their neighbor of 26 million people. China doesn't want to be overwhelmed by North Korean refugees, and South Korea would be unable to bear the economic and social costs of sudden reunification.

They also fear that Kim's government could lash out with its million-member army against the South, igniting a conflict that would drag in the United States and devastate the Asian-Pacific economy.

"China and South Korea fear instability more than they fear a nuclear North Korea,'' said Marcus Noland, an expert at the Economic Policy Institute.

Moreover, Beijing probably would be unwilling to jeopardize the budding commercial ties it has been pursuing with North Korea.

"China opposes sanctions on North Korea because it believes they would lead to instability, would not dislodge the regime but would damage the nascent process of market reforms and harm the most vulnerable,'' said a February report by the International Crisis Group, a conflict-prevention organization.

South Korea has been pursuing a policy of economic engagement and political exchanges with North Korea.

The United States has been consulting with members of the U.N. Security Council on a response to a North Korean test. But North Korea has the right under international law to test-fire missiles, making it tough for the United States to win more than words of chastisement of North Korea from the council.

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Mark H. Hayes
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The anticipated title from Cambridge University Press has been released in hard-cover and is available for purchase. Edited by PESD director, David Victor, Rice professor Amy Jaffe, and PESD fellow Mark Hayes, the book sheds light on the political challenges which may accompany a shift to a natural gas-fed world.

Energy is on the front burner and will stay there, so this book has special value. Read it and learn about the topic of today and tomorrow and tomorrow.

- George P. Shultz, United States Secretary of State, 1982-1989

The coming phase of energy industry development is bringing with it the rapid globalisation of the gas business. Long term take-or-pay contracts, which align supply and demand and which formed the foundation of all successful projects in the past, are coming under pressure from liberalisation. But security of supply still depends on security of demand: this timely and authoritative study demonstrates that, if gas is to

fulfil its enormous promise as an energy source, new ways must be found to establish the confidence of both sides that secure supply will be matched by reliable demand

- Frank Chapman, CEO, BG Group plc

This is a very valuable addition to the global literature on energy issues and energy policy ... Natural Gas and Geopolitics goes deep into the global gas policy issues that affect critical US energy policy, not only looking backward but helping understand what may happen as the global natural gas market develops.

- Bill Richardson, Governor of New Mexico, United States Secretary of Energy, 1998 2001

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All around the world, societies are experiencing an explosion of organizations and organizing: community clubs, religious groups, social movements, as well as schools, hospitals, businesses and government agencies, increasingly take the form of complex and formal organization. Why? Why is global society recast in this format and why so fiercely?

This book explores various dimensions of the trends of expansion, formalization, and standardization of organizing worldwide by exploring such organizational legacies as accounting, business management, corporate social responsibility, and performance benchmarks. Featuring contributions from prominent academics, the book argues that these processes can be attributed to globalization and to its specific tendencies of universalism, rationalization, and rise of the modern notion of the strongly bounded and purposive social actor.

An application of institutional arguments to global issues, the book will be of interest to academics and researchers of Organization Studies, Sociology, Political Science, and Geography.

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Oxford University Press in "Globalization and Organization"
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John Meyer
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Innovative financial instruments are being created to reward conservation on private, working lands. Major design challenges remain, however, to make investments in biodiversity and ecosystem services economically attractive and commonplace. From a business perspective, three key financial barriers for advancing conservation land uses must frequently be addressed: high up-front costs, long time periods with no revenue, and high project risk due to long time horizons and uncertainty. We explored ways of overcoming these barriers on grazing lands in Hawaii by realizing a suite of timber and conservation revenue streams associated with their (partial) reforestation. We calculated the financial implications of alternative strategies, focusing on Acacia koa ("koa") forestry because of its high conservation and economic potential. Koa's timber value alone creates a viable investment (mean net present value = $453/acre), but its long time horizon and poor initial cash flow pose formidable challenges for landowners. At present, subsidy payments from a government conservation program targeting benefits for biodiversity, water quality, and soil erosion have the greatest potential to move landowners beyond the tipping point in favor of investments in koa forestry, particularly when combined with future timber harvest (mean net present value = $1,661/acre). Creating financial mechanisms to capture diverse ecosystem service values through time will broaden opportunities for conservation land uses. Governments, nongovernmental organizations, and private investors have roles to play in catalyzing this transition by developing new revenue streams that can reach a broad spectrum of landowners.

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Pamela Matson
Rosamond L. Naylor
Peter Vitousek
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SPRIE benefits from the experience and knowledge of its Advisory Board, and one member of the Board and his company were recently the focus of a Newsweek article called "Shanghai Starts Up," a look at how some Chinese software firms are fighting to "jack up outsourcing to a new level."

Steven Levy looked at Liu's company Augmentum, a rapidly expanding three-year-old software start-up whose programmers are working on projects that go beyond the traditionally "low- and medium-level programming" tasks that have usually been outsourced to China.

The article, which originally appeared in Newsweek's June 12, 2006 issue, examined the challenges that face Chinese software companies as they attempt to tap into their workers' creativity and innovation to tackle the most advanced programming projects at--as Liu puts it--"a third of the price it would cost our customers to do [it] in-house."

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Emily Harris is a Knight Fellow at Stanford University this year. She was born in Philadelphia, Pennsylvania and earned a bachelor's degree in Russian and East European studies at Yale University. She got her first journalism job as a morning news director at KBOO, a community radio station in Portland, Oregon in 1993. Harris worked from Moscow as a freelance writer and radio and TV reporter in the mid-nineties before moving to Los Angeles, where she was the senior producer of a daily radio talk show at KCRW. She returned to reporting as a correspondent specializing in business and economics for a number of TV and radio programs around the globe before being hired by National Public Radio in Washington, D.C. in 2000. She worked as a general assignment reporter in Washington for NPR, then joined NOW with Bill Moyers on PBS. In late 2002 she was named NPR's Berlin correspondent, a post from which she has covered Central and Eastern Europe as well as spent considerable time in Iraq. She was a key member of the NPR team that won a Peabody for coverage of Iraq in 2004.

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Emily Harris NPR correspondent and 2005-2006 Stanford University Knight Fellow Speaker
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George Krompacky
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On May 20-21, 2006, the Stanford Project on Regions of Innovation and Entrepreneurship (SPRIE) and the China Institute for Science and Technology Policy (CISTP) of Tsinghua University co-sponsored an international workshop in Beijing on "Greater China's Innovative Capacity: Progress and Challenges."

The workshop, held in collaboration with the Zhongguancun Science Park and the Industrial Technology Research Institute (ITRI), was hosted on the campus of Tsinghua University. Participation by more than 70 academics, industry leaders and government policy makers reflected many of the ongoing partnerships SPRIE holds with institutions, individuals and organizations around the world.

The nine workshop sessions and more than twenty paper presentations provided rich opportunities for engaging discussion and knowledge sharing. The output of this workshop will lead to the publishing of selected proceedings in the near future.

Theme and Topics

The workshop addressed how the innovative capacities in Greater China are evolving. What are the most significant areas of progress and challenge? Scholars and business leaders from the U.S., Europe and Asia were brought together to discuss new research and current practice of key aspects of Greater China's innovative capacity: inputs, processes, outputs, institution, government policies, business models and management strategies.

More specifically, the workshop focused on:

  • information and communications technologies
  • innovation across the value chain from R&D to business processes and models
  • development within and linkages among key regions and players in mainland China, Taiwan, Singapore and Silicon Valley
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CISAC science program director Dean Wilkening has revisited a Cold War tragedy in Russia to study the effects of inhalational anthrax on humans. His research improves the ability of homeland security planners to model what would happen in a hypothetical scenario involving an anthrax release.

In 1979, anthrax was accidentally released in the city of Sverdlovsk (pop. 1,200,000) in the former Soviet Union, infecting about 80 to 100 people and killing at least 70. Russian officials claimed at the time that tainted meat sold on the black market was responsible; American officials argued that a nearby biological weapons facility released the killer spores. In the early 1990s, Harvard researchers visited the city to piece together the epidemiology of the outbreak. Their investigation, published in Science magazine in 1994, concluded that the Soviet cover story was false.

Now, physicist Dean A. Wilkening, director of the science program at Stanford's Center for International Security and Cooperation (CISAC), has revisited this Cold War tragedy and used its real-world data to improve our ability to model the medical effects of inhalational anthrax. This, in turn, allows him to model more accurately hypothetical scenarios such as the release of a kilogram of aerosolized anthrax in Washington, D.C., today.

The models researchers have used in such thought experiments "predict very different outcomes," says Wilkening, whose work to better understand the human effects of inhalational anthrax was supported by grants from the John D. and Catherine T. MacArthur Foundation and the Carnegie Corporation. Using real-world data from the Sverdlovsk outbreak and from limited nonhuman primate experiments, he was able to eliminate two of four theoretical models currently used in "what if?" scenarios that inform bioterrorism policies ranging from how much medicine we should have on hand in the Strategic National Stockpile to how rigorous post-attack decontamination efforts need to be. He reports his findings in the May 1 issue of Proceedings of the National Academy of Sciences.

"To date, researchers haven't paid enough attention to which model they use," Wilkening says. "Different models can give predictions that vary by a factor of 10 or more, so it matters which model one uses for predicting the human effects of inhalational anthrax." Wilkening aims to anchor models on the best available data and provide realistic models that the bioterrorism community can employ in policy studies.

The Sverdlovsk outbreak is "a sort of natural experiment," he says. "It's a tragic incident, but it also is a very valuable source of scientific data that one can use to distinguish between the four models currently in use." The upshot of his analysis is that two of the models currently in use are not accurate for predicting the human response to inhalational anthrax.

Insufficient data is available to resolve which of the remaining two models he examined is most accurate. That answer will have to await further data from costly nonhuman primate experiments, should they ever be performed (none are planned). "We have to use both [models] right now, or use them as bounding cases," he advises.

Wilkening explored four policy issues that illustrate the consequences of choosing different models: 1) calculating how many anthrax-exposed people would become infected and how many would die; 2) assessing if decontamination would be needed; 3) determining how soon exposed people would show symptoms and how soon doctors would recognize those symptoms as anthrax; and 4) calculating how soon exposed people need to receive antibiotics to avoid contracting the disease.

"To figure out what happens in a bioterrorist event, you need to know two basic properties about the pathogen you're dealing with," Wilkening says. One is the dose-response curve, which determines the likelihood of becoming infected at different exposure levels--the higher the dose of anthrax you get, the higher the probability that you will become infected. The dose at which 50 percent of an exposed population becomes infected, called the ID50, is around 10,000 spores. The other basic property is the incubation-period distribution, or the time the pathogen takes to grow in the body before symptoms first appear.

Wilkening's study brought dose-dependence to a debate over how long the incubation period is for inhalational anthrax. Published data from vaccine efficacy tests in which nonhuman primates were challenged with high doses of anthrax--up to a million spores--indicate an incubation period of one to five days. Data from Sverdlovsk, which exposed people to low doses probably on the order of 1 to 10 spores, indicate a longer incubation period, about 10 days. Whereas previous authors have debated whether nonhuman primate experiments or the Sverdlovsk data should be used to determine the incubation period for inhalational anthrax in humans, Wilkening demonstrates that both estimates are correct, with the difference between them being due to the dose dependence of the incubation period and the very different doses received in each case.

"If you are exposed to a higher dose, there is a much higher chance that an anthrax spore will germinate quickly, thus leading to a shorter incubation period," he says. "Sverdlovsk was a low-dose exposure event and, consequently, one would expect anthrax spore germination to take a longer time, thus leading to a longer incubation period."

Truth and consequences

Russian officials confiscated the medical records of the Sverdlovsk victims and have so far refused to release details of what happened on April 2, 1979. "It would be nice to know exactly what happened, because that would allow us to model the event more accurately," Wilkening says.

Nevertheless, based on weather and other data from the day of the event, scientists think that around 2 p.m. spores, or dormant cells that revive under the right conditions, were released from a military facility, and the Bacillus anthracis spores spread up to 5 kilometers downwind. People breathed in the spores, which geminated and incubated in the body for between four to 40 days before people began to feel ill or show signs of illness such as sore throat, coughing, pains, aches and runny nose--the same symptoms as flu--that indicated they had entered what doctors call the prodromal phase. Within four days, people passed the point of no return, called the fulminant phase, in which toxins from the bacteria had built up to such an extent that people went into shock and died.

It's impossible to save those who've entered the fulminant phase and difficult to save those who've entered the prodromal phase. But if people can start treatment after exposure but before symptoms appear, there's a good chance that they will survive--a conclusion Wilkening draws from work by colleagues at Stanford's Center for Health Policy. Treatment primarily consists of antibiotics such as ciprofloxacin, doxycycline or penicillin. While a vaccine to prevent anthrax exists, it is not yet available for the general public but would be made available to people exposed to anthrax, according to the Centers for Disease Control and Prevention website.

In his study, Wilkening ruled out two of the four models because they either did not fit the Sverdlovsk data or the nonhuman primate data, or both. "There are two models that people have used that should no longer be used to predict fatalities, models B and C." (The four models used in his analysis are labeled A-D for convenience.)

Using the two remaining models A and D, he predicted that a hypothetical attack releasing 1 kilogram of anthrax spores in Washington, D.C., would infect between 4,000 and 50,000 people, most of whom would die if not treated quickly with antibiotics. The difference of a factor of 10, Wilkening points out, is "an uncertainty with which we must live for the time being until better data can resolve which of the models A or D is more accurate."

Regarding decontamination efforts, the higher the probability of becoming infected at low exposure levels, the greater the need for effective decontamination, especially for indoor environments. Spores "by nature are hardy," Wilkening says. In the soil, out of the way of sunlight, they can last for a decade. "Residual contamination can be a very serious problem in the wake of an attack," Wilkening says. "Unfortunately, both models A and D predict that residual surface contamination from anthrax spores will be a problem. Consequently, we need to come up with effective indoor decontamination strategies."

Analysts such as Professor Lawrence Wein of the Graduate School of Business are considering the issue. Last year, he assessed decontamination and concluded cleaning buildings to make them safe to reoccupy was a billion-dollar proposition.

In addition, the four models make very different predictions about when symptoms would occur. The day after exposure, they predict between 10 and 1,000 people feeling sick, with more people getting sick in the viable versus discredited models.

"In terms of detecting the outbreak rapidly, this is a good thing because it says that doctors could recognize it [sooner]," Wilkening says.

In terms of treating people before they reach the prodromal phase, however, this is a bad thing because people become sick quicker. Wilkening's analysis may help policymakers reassess how fast antibiotics need to reach people. His best model says administering antibiotics by day three saves 90 percent of exposed people. "Today we cannot meet the three-day requirement," he warns.

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