Monday, April 23, 2007

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A good place to start learning about PHR's is the joint site for AHIMA and HIMSS: myPHR

As that site notes "The American Health Information Management Association (AHIMA) demonstrated its advocacy for the empowerment of individuals to manage their healthcare by issuing a joint Position Statement for Consumers of Health Care on the Value of Personal Health Records with the American Medical Informatics Association (AMIA) in February 2007."

The US Department of Health and Human Services has a much longer formal report in pdf format on PHR's, Personal Health Records and Personal Health Record Systems.

Wikipedia, not an authoritative source but often with more current links than other sites and freely available, has an article on the Personal Health Record with, as of today, 95 links to other sources of information on them, with the most recent cited article being February 2007.
A Chinese version (very abbreviated) of that article is linked there (on the left margin), but there is no Spanish language version given.

An article with the UK viewpoint from the UK's National Health Service titled Personal Health Records and Sharing Patient Information is here, with many good references. Two in particular are these:

Winkleman W, Leonard K & Rossos P. Patient-Perceived Usefulness of Online Electronic Medical Records: Employing Grounded Theory in the Development of Information and Communication Technologies for Use by Patients Living with Chronic Illness. JAMIA Vol. 12, 205:306-314.

and

Winkelman W & Leonard K. Overcoming Structural Constraints to Patient Utilization of Electronic Medical Records: A Critical Review and Proposal for an Evaluation Framework. JAMIA. Vol 11, 2004:151-161.

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This diagram from Franklin's text book shows the basic parts and connections for a "cruise-control" system, to keep a car moving at a pre-set speed.

It's relevant because the parts and the flow are universal patterns that you can find in almost any system, whether it's man-made or biological or chemical.

The discussion below will start to get way more complicated than is typical for a public health model, but still far less complicated than a typical "control system" problem that engineers solve routinely when, say, designing a new fighter jet.

It doesn't matter that it has many parts and connections, which televisions and cell-phones also do -- it only matters that they number is small enough that the data fit into the computer tool and generate an answer that can then be tested independently. Even three loops, as in the Beer Distribution problem Senge describes in "The Fifth Discipline", is beyond normal human intuition, so beyond that it is pretty much all the same whether the model has 4 loops or 14.

Obviously, for parameter fitting, we want to have a lot more data than unknowns, a constraint that may often be easily met in practice with time-series data. For example, in a year there may be 365 blood glucose readings, which may be rich enough to nail down an 12-parameter model with data to spare.

So, bear with the complications. They turn out not to matter very much.

The picture above shows is a goal, which in the case of a car is the desired speed, shown way at the left of the diagram. This goal goes into the blue box, labelled "controller", which we'll discuss much more shortly. For now, that functions is done by either the computer or the person driving. The controller has something it can control, in the case of a car this is the gas-pedal (throttle). Pushing the pedal down asks the engine to produce more power, which may have some lag time before that takes effect. The power flows into the body of the car, tending to make it go faster, if it weren't for the outside influences that also affect the car, such as whether it is climbing a hill or going down one. The two forces combine to produce one outcome - the actual speed of the car.

The actual speed is perceived by some sensor, such as a speedometer, which also has some distortion and noise affecting it, and possibly some additional lag time. Then the perceived or "Measured" speed is conveyed back to the blue box, the "controller".

At this point, the cycle starts again, but this time with a difference. The controller "knows" what speed it wanted, and can "see" what speed it has achieved, and so it can measure whether it has succeeded in getting the car to go fast enough. The "feedback", by itself, is not positive or negative - it is just information about the car. What the controller does with that information is positive or negative, and is based on an analysis of (a) what the difference is from what was wanted, (b) and how fast the difference is changing or closing the gap.

Part B is really important. If the decision was simply to hold down the gas pedal to the floor until the desired speed was reached, and then release it, the car would overshoot the right speed and be going too fast. Then, if the decision was to slam on the brake until the car slowed down to the right speed, the car would overshoot again, and end up going too slowly. The result would be a rapid cycle of going from too fast to too slow that would never stop.

Not only does the controller have to have some wisdom, it has to have some foresight. If a baseball outfielder's rule was "run towards the ball", as soon as the ball was hit by a batter the outfielder would run towards home plate, where the batter is or just was. Instead, the right thing to do is to run towards "where the ball will come back down, not where it is now."

So, the controller has to decide several things. How far off from the goal is the current outcome? How fast is it catching up? Should something be changed and, if so, which direction?
(For example as it comes up near the correct speed, the gas pedal will have to be let up on slightly, even though the car is still going too slowly!)

It's even worse if the controller had no idea to start with what each of the pedals did, as with a student driver, and had to learn that "pushing the one on the right often makes the car go faster, except going up a steep hill when the car still slows down" and "pushing the one on the left makes the car go slower, except when going down a steep hill when the car may go faster anyway."

Now, add to this the addtional problem that maybe the controller cannot actually see what the ground is doing and has to guess at that as well, based on the response of the car. Finally we have a situation typical for a person learning how to control their blood sugar -- SOMETIMES, eating more carbohydrates helps, but SOMETIMES it doesn't seem to matter, except that SOMETIMES it really makes things worse.

Control System Engineering (CSE) is the study of how such control systems behave, although this is about as simple as one gets, with only one loop in it. Real systems, as are studied in "Systems Thinking" or "Systems Dynamics" have multiple loops that intersect each other, possibly in multiple places. To predict the behavior of those, or to CHANGE their behavior in a desired way without "unintended side-effects", intuition is almost impossible, and some more powerful tool is required.

Fortunately, CSE is well over 100 years old, and has already developed full tool-boxes that do the computational heavy lifting for you, just as products like STATA and SAS and SPSS do the heavy math of statistics for you, so you can just use the results.


The issues in designing a control system come down to figuring out what should go into the blue box, the "controller", which is unhelpfully left off entirely from most "feedback diagrams" in the public health or health literature.

Some of the issues that can be solved involve trade-offs in these factors:

Stability: will the overshoots and oscillations calm down over time and go away, or will they actually get worse and worse until something breaks?
Steady state value: if left alone, where will it settle?
Rise time: how fast does the system close the gap between the actual and desired outcomes?
Cost: how much does it cost to make such a system?
Overshoot: how much does the system overshoot the desired value? (Sometimes overshoot is very bad and has to be avoided, as in an example of too high a dose of medicine, in which case the system should come up to the right value slowly from below.)
Disturbance rejection: this is a fancy name for how well the system can maintain a steady value despite changes in the outside world. For a car going 60 miles per hour, for example, it measures how much the speed will change if the car goes down or up a hill.
Response time: How long does it take the controller to figure out that something external has changed and it needs to apply some sort of corrective action?
Lead time and lag time: How long does it take, from the time the gas pedal is pushed, before the engine starts to produce more power? In a small airplane for example, it takes about 4 seconds from the time the throttle is changed until the engine starts delivering more power.
Sensitivity: what happens if the engine gets older, or some days the "oomph" just isn't there, even when the "gas pedal" is pushed? Can the controller adjust for that?
Dynamic tracking: if the goal is changing, how well can the system "keep up" with the ever-changing goal? Can the system deal "if the cheese is moved" or did it only learn one pattern and if the rules change the system will just keep on trying to use the old way to try to cope with a new problem?


With human beings involved, there are some additional variables that are not quite so prevalent in hardware.
For one thing, there is a second "motivation" loop that can sag if too little "success" occurs, so it may be necessary to "lower the goal" temporarily to get motivation interested in action again, before raising the goal back up again slowly enough to not lose that sweet relation between the goal and success.

Also, humans have a third loop that can reduce the frustration of conflict between a goal and the actual outcome by changing the sensor - that is, altering their perception of how well they are doing, so that it better matches the goal.

Too strong a demand and pain related to conflict can result in altering perception, not altering action or actual outcomes.


Finally, humans have a fourth loop that can reduce the gap - simply shoot the messenger, or stop going to the doctor. Eliminate the thing that is making that annoying goal show up at all.

Of course, exactly the same relief from pressure can be accomplished by letting the feedback loop simply fall apart. Hospitals tend to do that with JCAHO requirements, once JCAHO team leaves. And, patients tend to do that with medical advice.

So, a fifth and sixth loops are needed to capture the external world's pressure and impact, not just on the "body" in question, but directly on the goals, in response to the actions taken (the equivalent of pushing the gas pedal), and onto the ability of the person to perceive what is going on, that is, on their "sensors."

Brief digression for two stories:

A crowd or audience can dramatically shift what can be perceived, something I have first hand knowledge of from doing stage magic in a crowd. Interestingly a crowd of young children is way more perceptive than one child, but a crowd of adults is way less perceptive than any one adult alone, at least when it comes to seeing how a magic trick is "done". In my own experience with such deceptions, a person can see what you have done, then try to tell a neighbor, and if the neighbors all put him down and say "No", he will actually forget entirely that he ever saw the issue in the first place. It's remarkable.

Research on the impact of crowds on individuals has one dramatic video in it that may have been done at Cornell in the late '60s, and was certainly presented by Allan Funt on the TV show "People are Funny." An unwitting subject gets on an elevator on floor 1 of a building going up, and the elevator only has a front door. At each successive floor upwards, an investigator gets on, walks to the back of the elevator, and faces the blank back wall - that clearly cannot possibly open. When the first one does this, our victim glances and ignores it. When the second one does it, he looks somewhat anxiously to see if there is a back door, but decides against it. When the third one does it, the victim simply pivots in place and faces the back wall along with everyone else. The magic number at which people spin around seemed to always be 3.


Returning to the main discussion:

So, we have a tangle of loops that leave the one person and go up to the person's family and friends. Is the problem now hopeless? No, because there is another "break point", after the "single person" break, there is a person and his or her "posse" or "gang" or small group of reference people. This is a cluster of people that are far more interactive with each other than with the outside world, and in some ways a "unit".

In a hospital or health care system, as the IOM report "Crossing the Chasm" points out, there are natural breaks and natural edges to "small care teams" or "microsystems." These are a group of people who collectively deliver care, and who interact far more with each other than they do with the outside world. They are, in a very real sense, a "unit", or "a system", but not just a heap or list of people who communicate - it is far deeper than that. They are directly tied into each other's goal setting, reward system, norm setting, etc. They are directly dependent on each other in a very real way many times a day. They can't get their job done if the other people don't do theirs.

So, the IOM conclusion, demonstrated in many examples, is that this next higher level unit of tangled control loops, the 'small team' or "microsystem" is an even better place to intervene in changing behavior and perception than at the individual level.


It's easier to change a dozen tangled people at once than one person. In fact, there is no way to change "just one person" in such a distributed control system, because the others will restabilize them right back to where they were as soon as you let go.

This is a deep and profound insight. It totally changes how to proceed.

Taken a little further, this suggests that the concept of "a patient" as "an individual" is a broken model. This is certainly true of primates, where there is a saying that "There is no such thing as one chimpanzee." The reason this is true is that a solitary chimp doesn't behave at all the way it will behave in its normal group of chimps. In fact, given the choice of food or a look out a window to see what its herd (?) is doing, even a hungry chimp will select opening the window. Without belonging, there is no point in eating or being alive. It's a chimp level equivalent of cellular apoptosis - where a perfectly healthy "cell", if removed from a human, and subjected to no other stresses, will basically lose the will to live and commit suicide.

Connectivity seems to be some kind of critical factor for humans. Infants that are not touched can simply die. Adults who lose social connectivity have far worse outcomes than those who have not.

The point for us, however, is that the simplest feedback loop is, in reality, a tangle of maybe a dozen or so loops.
This is ok, because no one has to have intuition about the tangle directly, it just has to be small enough that the data can be put into the computer so the computer tools can figure out the simplest feedback loop model that fits the data.
This process of "model discovery" is also well known and there are tools for it as well.
However, to my knowledge, no one has ever tried to fit a multi-person dataset using such tools from control system engineering, let alone used the model to design an intervention and deduce, as it were, "where to push" so that the desired outcome will emerge after all the echoes die down.

One more sidebar. Because the purpose of all this system may be to produce a "clamp", that is, to lock an outcome to a particular value (say speed of a car) despite many external changes (hilly terrain), the use of classical statistical reasoning and "causality" breaks down, and process control measures have to be used instead. If the inputs are varying all over the place and the output is constant, classical statistics will say "NOT ASSOCIATED", yet is precisely the role of the 'control system' to BREAK the association between external events and some outcome. The challenge is to spot that two things are unexpectedly NOT associated.

That's more than enough text for one slide.

References will go here, when I have time.

"Systems Thinking" is now part of the 2006 ASPH MPH Curriculum, and was featured in the March, 2006 AJPH issue. Stedman's book "System Dynamics" is certainly enough to intimidate anyone, at 998 pages. See the links in "the law of unintended consequences"
to the MPH curriculum, Stedman, Jay Forrester's classic paper, etc.








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It is really important to distinguish between analytically solving a problem, and navigating through to a solution.

Academics may attempt to discern what is involved, in the general case, in getting to Safeway to buy groceries, but most of us don't wait for the answer and just go.

This is a problem which can be navigated, even though the solution cannot be well articulated. That such things exist, and are in fact common, is a rather important insight.

In fact, there is no solution to the question "which way do I need to point my car so it will go directly, without changing direction, from the School of Public Health to the Safeway down by the harbor southeast of the Wolfe-street building?"
If you seek "an intervention" that will get the car from here to there in "one direction" it will be fruitless. What is needed is a strategy for navigating, and the flexibility to recognize that "driving", like "living" involves many changes in direction. Seeking "one change" that will accomplish a task, on the geographic-direction world, won't work. The change has to be sought on the "how do I navigate?" world.

In the "navigate" world, the answer is easy: "Head south till you can't go south anymore because you'd run into the water, then turn left, keep the water on your immediate right, and go till you get to Safeway. "
What I'm thinking here is that too much expert advice is attempting to give a patient a "single direction solution" when there are no single-direction solutions in the real world, and patients need to be encouraged to open their eyes and steer their own car and not drive into the water.
Empowerment is not an "option" -- it is the only way to navigate rough terrain with unknown and unknowable obstacles ahead.

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Pathmaker software vendor: http://www.skymark.com/



Index to the whole capstone presentation is here.

Link to my entire 1o minute presentation with audio, in powerpoint is here.

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The University of Michigan Diabetes Center has a diabetes patent empowerment survey instrument, which they say is validated, which can be taken over the web. See Anderson RM, Funnell MM, Fitzgerald JT and Marrero DG, The Diabetes Empowerment Scale: a measure of psychosocial self-efficacy,
Diabetes Care, Vol 23, Issue 6:739-743, 2000 (journal of the American Diabetes Association)

and a letter: Anderson RM et al, The Diabetes Empowerment Scale Short-Form(DES-SF), Diabetes Care 26:1641-1642, 2003.

The Michigan Diabetes Research and Training Center has additional information on this and other survey instruments.

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37 signals has marvelous products that have received extraordinarily good reviews for being amazingly easy to use. (disclosure: I have no financial association with 37signals - I just love their philosophy and product design!)

You can see the site here
http://www.37signals.com.

Or, if you are at the live presentation, I'll give you a link to my own BaseCamp site and you can check it out directly and play around with it.

From that site, comments I agree with entirely:

94% recommended
In a recent random customer satisfaction survey, 94% of Basecamp
customers
and 96% of Backpack customers surveyed said they would recommend
the products to their friends, family, and colleagues. Thanks!
The buzz
We’re fortunate to have the press saying nice things about us. Basecamp received a BusinessWeek Best of the Web award in 2005 and 2006. A PC World review called Backpack “Tremendous.” [see the blue box] Time Magazine named us one of the Net's rising stars.

Business Week is quoted in the BaseCamp specific page as follows:

“Basecamp is so simple you can't do anything wrong. It's addictively easy-to-use.”

-Robert Hof, BusinessWeek

And - a simpler user version of all the products is zero cost, free. And, even if you want to upgrade because you're hooked, there is no set-up cost, it's billed month-to-month, and there's no termination cost. That's about as good as it gets.

I wrote an entire paper on how 37signals tools would be useful for Disaster Preparedness, that I may put on-line soon.

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Saturday, April 21, 2007

REACH Detroit , a CDC project


So, I was discussing my 1-day-old Johns Hopkins MPH Capstone project with Bree, and she said, oh yes, she'd worked with the "REACH Detroit" group, sponsored by the CDC, as part of her MPH work at UM/SPH. So I came home and found REACH Detroit Partnership.

(to the left is a picture of my wife Cheryll holding Bree's new daughter.)

REACH, by the way, turns out to mean: Racial and Ethnic Approaches to Community Life.

See this on the REACH 2005 Community Report (in English) for Detroit

which me refers to Dr. Michele Heisler's work, as in:

Heisler, M., Piette, J., Spencer, M. S., Kieffer, E., & Vijan, S. (2005). The relationship between knowledge of recent hemoglobin A1c values and diabetes care understanding and self-management. Diabetes Care, 28, 816-822.


Michael S. Spenser, UMich School of Social Work.
Spencer, M. S., & Chen, J. (2004). Discrimination and mental health service use


Dr. Jackie Two Feathers (see cite further below)

Dr. Edie Kieffer "Reducing Disparities in Diabetes Among African-American and Latino Residents in Detroit: The Essential Role of Community Planning Focus Groups", in Ethnicity and Disease

It may be that Edie Kieffer was or is the PI of the project.
The CDC National site on REACH has links to others of the 24 cities involved and a map.
and links to funding announcements (looks like a Cooperative Research).

THE Detroit site lists other articles (go there for actual working links)

Sunday, April 01, 2007

Key findings from public health



Healthy "people" aren't localized rocks, but are normally well-interconnected bidirectionally into the social fabric around them.

Social connectivity is the most robust predictor of internal, "physiological", "biomedical" outcomes, such as morbidity, mortality, survival rate of surgery, resistance to infection, level of depression, outcome of diabetes, obesity, "mental" health, you name it.

Prevention is a thousand times more cost effective than repair. ( A lesson from software engineering and many other fields as well.)

The caring human loving touch of another individual is very important to human health and healing. Infants who aren't touched do poorly or simply die.

All interesting social phenomena (such as relationships, jobs, teams, family, stress, love, sex, the economy, depression) involve intimately bidirectional feedback loops.

But, classical statistical measures and attitudes, based on prediction of yields of crops, assume critically that causality is defined in one direction only, and that all phenomena of interest can be "isolated" from context and one part of it varied by the experimenter while other parts of it are "held constant." None of that applies to "complex adaptive systems", including social systems, which are inextricably interconnected, context-dependent, interdependent, and riddled with bidirectional feedback loops. Since the tools and expertise breakdown when applied to these areas, rather than admit that the tools and expertise are inadequate, the problem space is instead defined as "non-scientific" or "soft-science" and demeaned as unimportant or "non-scientific."

Possibly due to such schizophenia, the US "healthcare" system behaves as if none of the above solid empirical facts were known. There is no focus on social connectivity, less than 2% of the budget is spent on prevention, and machines and processes have replaced people at the bedside. People are treated like machines, and diseases are treated as if they were independent of each other and the rest of peoples lives. "People" are reduced to "patients". "Caregivers" are too busy to stay and chat for a while with "patients" and are increasing renamed "providers" which is ironic, since mostly they consume resources, particularly money, while being forced by "the system" to be too busy to stick around and observe the actual outcomes of their "treatments" on the people they serve. It's a lose-lose scenario, disliked by the patients, disliked by the caregivers, and apparently continues to exist because it's loved by the insurance companies. The whole thing needs to be rethought based on the above new facts of life.

Perhaps, not surprisingly then, the outcomes of the US Healthcare system are terrible, compared to peer countries. Infant mortality is something like 19th in the world. Costs are huge but a recent study showed that the BEST quartile of US citizens (the rich) have health outcomes worse than the WORST quartile of British citizens in the UK. (ref ?). Depression, obesity, diabetes are widespread and rampant epidemics in the US.

But, efforts to build healthcare interventions that are designed around social connectivity and whole persons are demeaned and ridiculed as being "non-scientific", or avoided because the feedback loops make computing "p-values" problematic for academic researchers, for whom such mathematical bases for certainty are held with a sort of blind obsession despite the fact that the assumptions of the theory (General Linear Model) don't fit the problem they're trying to address.

The result is that the most effective interventions are known, and involve teams of people assisting individual humans to modify or control their behavior and life style, but the advocates of these interventions are academically shunned and have to present their work in embarrassment in back rooms. The Office of Behavioral and Social Science Research (OBSSR) within NIH is treated like an awkward in-law.

Probably the single best book that summarizes interventions in health care that actually work is Health Program Planning : An Educational and Ecological Approach by Lawrence W. Green and Marshall W. Kreuter, now in it's fourth edition. (c) 2005 McGraw Hill, initial version written in 1961. It was around that year that non-communicable diseases began to replace communicable diseases as the leading causes of death, disability, and impaired quality of life, but the older, biomedical model had a very tightly held death-grip on the "health care industry."

On page 3 of that book the authors note:

Ecological approaches have proven difficult to evaluate because the units of analysis do not lend themselves to rand assignment, experimental control, and manipulating characteristic of preferred scientific approaches to establishing causation. Although the linear isolatable cause-effect model of scientific problem solving remains the point of departure for the training of health professionals, practitioners find ... they cannot ignore the contextual reality that health status is unquestionably influenced by an immensely complex ecological system. ...

To address those systems in our planning, we must first be able to see them ...
By definition, ecological sub-systems do not operate in isolation from one another ... [but] interact with one another to influence health. [We need] a kind of ecological map or "web" or "systems model" enabling us to visualize the network of relationships that need to be taken into account as we plan our intervention strategy tailored to the unique circumstances of the target population and the place where they live and work.
The primary tools up to this task are described by John Sterman in his tome Business Dynamics, 999 pages in length. The simpler techniques of mapping on a white-board is known as Causal-Loop Diagramming or CLD. These qualitative webs can be assigned some semi-quantitative values, such as directionality and general magnitude (large, small, strong, weak) and then simulated using tools such as Vensim (tm).

That, however, is a lot of work. "Systems thinking" didn't show up in the MPH curriculum until 2006, and is absent, by that name, in most courses, even at leading universities. Only MIT and Worcester Polytechnic Institute seem to have embraced these tools, although the Ross School of Business at the University of Michigan is starting to build a systems thinking program after the auto industry started demanding it.

Note that the pressure for innovation here is from business, and the academics are lagging behind, sometimes kicking and screaming, in stage 2 of Schopenhauer's three stages:

All truth passes through three stages. First, it is ridiculed. Second, it is violently opposed. Third, it is accepted as being self-evident.
Arthur Schopenhauer

So, this pretty much summarizes the state of affairs today. Johns Hopkins Bloomberg School of Public Health has started a new department of Health Behavior along the lines of the new theory, but most health and public health people are famously non-quantitative, and so they are attempting to think through such problems mentally, unassisted by available tools used in other industries for over 50 years now in systems dynamics.

And, the biomedical establishment has a strong lock on most thinking and peer-review journals, and alternates denial and violent opposition to the "new paradigm" which it perceives as a throwback to mystical soft thinking instead of a more general version of the scientific method that can embrace feedback loops and complex adaptive systems without distortion of the tools or violation of the assumptions behind the models and statistics.

Even at Hopkins in the department of Epidemiology, the ratio of new thinkers to old-paradigm thinkers is essentially 3 to 70, and this new paradigm is ridiculed, rejected, opposed, despised, by most old-school thinkers who wish the answer to health had stayed down the microscope, under control, where they had strong muscles and good intuition - instead of showing up increasingly outside the window of the lab, in the social fabric of society, in all the places the scientists grew up despising and where their tools and muscles and intuition all fail.

So, where does that leave us humans?

Apparently, we can't expect either academics or health care workers to take the lead in fixing this terrible mess, and business is going to have to get down to business and do something about it.
(This is not without precedent - the center of innovation in the USA has increasingly moved out of universities and into businesses, despite the very strong marketing campaign with the opposite message. Witness the pulling-teeth it's taken to get systems thinking into the Ross Business School curriculum.)

Business today is much more cybernetic on a real-time basis than academia, and utilizes "good enough" models which, with cybernetic feedback control, get the job done and produce the desired outcomes - - while driving academics crazy because the underlying models are "so bad."
The National Institutes of Health is still heavily dominated as well by biomedically oriented researchers of the old school, who resist the new paradigm.

So, with a few exceptions, industry money may be the only way to advance health care in serious ways, and address the findings at the top of this post sometime this century when we're still alive to care about it.

We have, as in so many of M.C. Escher's paintings, (see this link:
http://en.wikipedia.org/wiki/Image:Escher_Waterfall.jpg
created a world that is locally-sensible and globally nonsense, but few people working locally are motivated to address the global wrongness, and no Masters or PhD student or young researcher would be encouraged to tackle a "large" problem, and so it sits there, unaddressed by academia and a thorn in the side of everyone: patients, doctors, nurses, payers, industry.
Like Escher's paintings, one is hard pressed to see or point to exactly "where" the wrongness is, and yet, standing back, it's clearly wrong.

That's where things are today.


[ M.C. Escher website: http://www.mcescher.com/ ]