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

Rehm on vaccines

Last week, there was an interesting conversation about children vaccinces on the Diane Rehm show (podcast here). There was a bushel of good stuff said, but I found the conversation strangely dogmatic and un-informative. While I'm all in favor of the use of immunizations to protect people from diseases, I think it's important to acknowledge how competing opinions come about and when they are pragmatic. This conversation did not seem to do that.

  • There was a question raised about the strength of immunity induced by vaccines compared to natural infection. A blanket response was given that "vaccines are much more effective than the natural infections at protecting you and keeping you healthy", but little evidence was given in support of this conclusion. The example of measles was mentioned, which is a case where natural infection induces life-long immunity, potentially better than vaccination. In the case of whooping cough, our new vaccine seems to be worse than our old vaccine, but natural infection doesn't induce good immunity either. So, two examples, neither of which as a vaccine that works better than natural immunity. Some reference to age-dependent virulence in mumps and polio were also made, but without a clear purpose. The whooping cough (pertussis) situation was dismissed earlier in the show as "complicated", but no further explanation was given -- a skeptic might take this to be an intentional departure from impartial scientific discussion to bias the public understanding in favor of immunization. Perhaps the panelist was including the potential cost of disease in that comparision, in which case, many vaccines do come out on top.

  • The discussion did not explain how sometimes people's personal interests can differ from the public health interests of the nation. My own research1 and that of others has shown repeatedly that resistance to immunization programs IS RATIONAL when the diseases they prevent are rare. In practice, the diseases are NOT rare enough for this effect to kick in, but it's pretty easy to see how, based on personal experience and limited expertice, citizens can logically arrive at such a belief. It seems counter-productive not to acknowledge this. And it even seems inconsistent with the American ethos of individualism, where many value independence and the freedom of citizens to make their own chocices.

  • National public health recommendations blanket for the entire American population. While there is some effort to describe conditions and circumstances that may be outside the scope of the standard recommendations, the diversity of our nation is too great to be fully enumerated in any policy plan. We mostly leave it up to patients to discuss and decide with their doctors how to handle their special circumstances. That's good and should be encouraged. I think the actual catch is with the medical community, and how, in making recommendations, they choose to balance the interests of each patient with the public health interests of the community. I know, for example, that allot more young people are getting shingles than used to, and the shingles vaccine would probably be good for them, but the government recommendations are only for older people (50+).

  • There was a good deal of "Trust us. We're scientists." in the conversation. When the risk of autism was raised, the panellists stated that there's no connection between inoculations and autism. All the scientific literature I've personnally read exonerates vaccines, but no studies or references were cited. Similarly, the panelists punted on the question of whether or not our chickenpox vaccine is altering shingles rates, leaving things as "wait and see" rather than an open scientific question on which people may have different opinions.

  • Our scientific understanding of how innoculations and our immune systems in general work is still very incomplete. This gap and the associated uncertainty should be acknowledged and embraced, and is a good reason to embrace a diversity of immunization strategies in the general population within the bounds of what has been scientifically established. Science is about exploring the unknown -- by definition, scientists don't know what they are doing (or else, they aren't being very good scientists). This seemed to be particularly relevant to the discussion of the CDC immunization schedule for children. While much work has gone into this topic, it seems far from a settled issue, based on the naivety of methods employed in this story about the mathematics of schedual development. Tools like "Choose your own schedual" should be part of the discussion, if for no other reason than to explain their weaknesses.

  • The question of vaccine pricing was raised, and the panellists gave some informative answers. But it seemed like some answers were aimed at defending the status-quo. It will be interesting to learn more about vaccine prices, price-tiering, and supply security issues.