2024-02-11: Symbolic algebra and typing

2023-08-01: Population waves

2023-05-18: Math of telephone billing mystery

2023-05-05: Franklin and DNA More information…

2023-04-25: On angle and dimension

2023-02-20: On Leonardo da Vinci and Gravity

2022-04-29: Fabricating Evidence to catch Carmen Sandiego

2022-03-04: Probabilistic law of the excluded middle

2020-05-04: Archimedes and the sphere

2019-05-16: Glow worms return

2019-04-11: Original memetic sin

2019-01-31: The theory of weight

2018-11-06: Origins of telephone network theory

2018-10-24: Modern thought

2018-09-10: Feeding a controversy

2018-06-11: Glow worm distribution

2018-04-23: Outlawing risk

2017-08-22: A rebuttal on the beauty in applying math

2017-04-22: Free googles book library

2016-11-02: In search of Theodore von Karman

2016-09-25: Amath Timeline

2016-02-24: Math errors and risk reporting

2016-02-20: Apple VS FBI

2016-02-19: More Zika may be better than less

2016-02-17: Dependent Non-Commuting Random Variable Systems

2016-01-14: Life at the multifurcation

2015-09-28: AI ain't that smart

2015-06-24: Mathematical Epidemiology citation tree

2015-03-31: Too much STEM is bad

2015-03-24: Dawn of the CRISPR age

2015-02-12: A Comment on How Biased Dispersal can Preclude Competitive Exclusion

2015-02-09: Hamilton's selfish-herd paradox

2015-02-08: Risks and values of microparasite research

2014-11-10: Vaccine mandates and bioethics

2014-10-18: Ebola, travel, president

2014-10-17: Ebola comments

2014-10-12: Ebola numbers

2014-09-23: More stochastic than?

2014-08-17: Feynman's missing method for third-orders?

2014-07-31: CIA spies even on congress

2014-07-16: Rehm on vaccines

2014-06-21: Kurtosis, 4th order diffusion, and wave speed

2014-06-20: Random dispersal speeds invasions

2014-05-06: Preservation of information asymetry in Academia

2014-04-16: Dual numbers are really just calculus infinitessimals

2014-04-14: More on fairer markets

2014-03-18: It's a mad mad mad mad prisoner's dilemma

2014-03-05: Integration techniques: Fourier--Laplace Commutation

2014-02-25: Fiber-bundles for root-polishing in two dimensions

2014-02-17: Is life a simulation or a dream?

2014-01-30: PSU should be infosocialist

2014-01-12: The dark house of math

2014-01-11: Inconsistencies hinder pylab adoption

2013-12-24: Cuvier and the birth of extinction

2013-12-17: Risk Resonance

2013-12-15: The cult of the Levy flight

2013-12-09: 2013 Flu Shots at PSU

2013-12-02: Amazon sucker-punches 60 minutes

2013-11-26: Zombies are REAL, Dr. Tyson!

2013-11-22: Crying wolf over synthetic biology?

2013-11-21: Tilting Drake's Equation

2013-11-18: Why \(1^{\infty} eq 1\)

2013-11-15: Adobe leaks of PSU data + NSA success accounting

2013-11-14: 60 Minutes misreport on Benghazi

2013-11-11: Making fairer trading markets

2013-11-10: L'Hopital's Rule for Multidimensional Systems

2013-11-09: Using infinitessimals in vector calculus

2013-11-08: Functional Calculus

2013-11-03: Elementary mathematical theory of the health poverty trap

2013-11-02: Proof of the circle area formula using elementary methods

Ebola comments

So, last week, I made some comments about projections of Ebola numbers for the next few months. Today, maybe worth mentioning two more things that have come up.

Travel restrictions

NPR interviewed Jim Yong Kim, Head of the World Bank, and broadcast the interview this morning. Some members of congress called for travel restrictions yesterday, and Kim responded essentially that travel restrictions were pointless, using the analogy that they were like stuffing wet towels under a door when you're in a house that's on fire. I've heard many other commentators make similar arguements -- "Don't stop travel because it won't work and it will do lots of harm."

I believe these kinds of comments care a large degree of group-think in them, analogous to "to-big-to-fail" dilemma that emerged in the 2008 financial crisis. Ebola is a terrible infectious disease. We'd like to stop it's spread. But it is spreading and doing harm, and right now, we have very few options on the table for our response. We have no vaccine, and no well-established treatments. The only thing we can really do right now is collect people into hospital wards where they receive basic treatment, and do not put others at risk. That and adopting other hygene and distancing practices that will slow the disease spread, and maybe even stop it.

But we WILL get a vaccine! It's going to take some time, but people can survive ebola infection and they appear to become atleast temporarily immune after they recover, so we should be able to elicit that immunity with a standard vaccine. We can have a high degree of confidence in the scientists and lab workers around the world doing this for us, if we give then the time, money, and resources they need.

So, back to Mr. Kim's analogy of being stuck in a house on fire and stuffing wet towels under the door. It's a good analogy. The house represents the whole world, and wet towels are like travel restrictions. Stuffing wet towels under a door won't put out the fire, but we don't need to put it out -- we only need to keep it at bay until the fire department arrives. If we can use travel restrictions to slow or even stop the spread of ebola into new nations, that buys the scientists more time to make that vaccine we so badly need.

I agree with Mr. Kim's comments in the sense that travel-restrictions should only be a small part of the conversation about Ebola control. And it might be quite hard to prevent international dispersal of the virus, and there may be some adverse consequences to our efforts. But we have to ask ourselves the question, "Is $10 million dollars to high a cost to prevent a nation from having it's own Ebola epidemic? What dollar figure would be too big a cost to protect a nation?" There are some deep questions about our civiliations here that we should not dismiss so easily.

Uncertainty over incubation period

Chuck Haas came out with a comment on estimation of the quarantine window of 21 days for ebola. This is an important issue. The classically used exponential distributions are not good models, and we don't have good mechanistic alternatives. The 21-days seems to be working well, but it may not work perfectly, and we should expect some exceptions to appear. It would be great if we ever could put together better estimates.