Chaos Theory and CFS/ME recovery paths

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By Craig Robinson

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I find myself identifying similarities between a mathematical theory and the behaviour pattern of recovery in CFS/ME patients.

I cannot stress enough that this is just a model. It is not a description of the actual biology at play, and nor is it supported by any medical trials or studies. Instead, this model is observational and serves as an analogy to what seems to happen to CFS/ME sufferers. In this sense it is hoped that it aids understanding and give a framework for CFS/ME sufferers to better manage their illness and ultimately to create the conditions, as best as they can, that are conducive to a sustained recovery.

Before I go any further, I must define what I mean by ‘recovery’. When I talk about ‘recovery’ I mean ‘improved functionality’, or ‘feeling better’, or ‘having fewer or less intense symptoms’. I do not mean returning to a state of 100% health. Sufferers will be all too aware that there is a balancing act between these two desirable outcomes:

  • having fewer or less intense symptoms
  • doing more things

One cannot seem to have the cake of fewer or less intense symptoms at the same as eating the cake of doing more things!

So, then, my definition of recovery is a sustained situation whereby you can both ‘do more’ and ‘have fewer / less intense symptoms’ AT THE SAME TIME.

It is also important to recognise that recovery is not an event – it is a process.


For most sufferers, CFS/ME is sadly a chronic illness. So, then we are on a journey.

This journey can be long, and it can be truly horrific in its sheer awfulness. For me, as of now (March 2023), I have reached my 30 year ‘sickaversary’, having fallen ill on 15 March 1993. Yes, just like Julius Caesar, I should have been wary of the Ides of March! See Wikipedia article on The Ides of March

Who is it in the press that calls on me?
I hear a tongue shriller than all the music
Cry "Caesar!" Speak, Caesar is turn'd to hear.
Beware the ides of March.
What man is that?
A soothsayer bids you beware the ides of March.
Julius Caesar Act 1, scene 2, 15–19, William Shakespeare, 26 April 1654 - 23 April 1616

I have been ill ranging from the severe end of the scale to more moderate levels, but make no mistake, I am still ill. I am still on that recovery path. I was bedridden for nearly 5 years, with all my care needs met by my wonderful wife, Penny. Others have suffered more much deeply, and for much longer periods of time than me. There is no getting around the fact that this illness can steal lives. It really is unique in its devastation. I know this. But I truly believe that there is hope for all.

So, I write in all humility. I do not mean to be glib or to imply that the solutions are easy. But I do believe that the model which follows applies equally to all sufferers of whatever severity. It is, of course, the case that things will be harder, and will take longer, for the severe sufferer but having been there myself, I would not write these words if I did not believe that the same principles apply to all.

What is a journey? Dead reckoning

[See Historical Footnote 1 below.]
In its simplest form, a journey can be described by this ‘Journey Equation’ -

Chaos two.png

For the mariners amongst us, or indeed travellers of any kind, this is known as ‘dead reckoning’. It is fraught with difficulties, which are, thankfully, not the subject of this article! See Wikipedia article on Dead Reckoning [See Historical Footnote 2 below.]

For now, keep in mind the two elements of the Journey Equation that are on the left-hand side as above, namely:

  • Where you start from
  • The direction you move in, for how long and at what speed

In this simple form, if one were to change one’s starting point, say, start one mile to the east, then one would quite reasonably expect one’s journey’s end to be one mile to the east as well, all other things being equal.

Now we detour to Chaos Theory for a while before returning to the relevance of all of this to the patterns of recovery behaviour in CFS/ME sufferers.

Chaos Theory

Just like doctors, mathematicians try to impress non-mathematicians with difficult sounding names for their theories. Fear not!

Chaos Theory describes journeys that have different characteristics to the simple Journey Equation as above. So called ‘chaotic behaviour’ (where journeys do not follow the dead reckoning method as above) have been observed in areas such as robotics, cryptography, weather systems, and most importantly here, biological systems.

Put simply, Chaos Theory is the idea that where we start from [what mathematicians call the 'initial conditions'] can affect disproportionately where we end up [what mathematicians call the 'final state'] even if everything that happens in between [what mathematicians call the 'dynamical system'] is basically the same.

So, in the above example, if we were in a ‘chaotic system’, starting one mile to the east would NOT result in ending up one mile to the east at your journey’s end.

Just to clarify the language – mathematics is a language above all else. In Chaos Theory

  • The ‘initial conditions’ are what we called ‘where you start from’ above
  • The ‘dynamical system’ is what we called ‘what direction you move in, for how long and at what speed’ as above.
  • The ‘final state’ of the system is what we called ‘where you end up’ as above

As intimated above, the surprising thing (actually REALLY surprising thing) is that in chaotic systems, even very very very small changes in ‘where you start from’ (the initial conditions) can lead to very very very big changes in ‘where you end up’ (the final state), even when everything that happens in between (the dynamical system) is the ‘same’.

Those who have seen the film 'The Butterfly Effect' (and it comes highly recommended by the author) will understand this ‘effect’ – see here for a fairly spoiler-free summary of the film - Wikipedia article on the film, The Butterfly Effect'

I love pure mathematics – it is my one and only mistress! Penny puts up with Mistress Mathematics. But I also love applied mathematics – to fully understand things, I think most of us need real-life examples and so let’s talk about the weather. What else? We are British, after all.

Chaos Theory - example

In 1960 a man named Edward Lorentz (see Wikipedia article on Edward Norton Lorentz) created a weather-model on his computer at the Massachusetts Institute of Technology.

[Please see 'Tenuous Claim to Fame' below!]

Lorentz' weather model consisted of an impressive array of complex formulae that attempted to predict the weather in the future, given a specific set of weather conditions as of now – the starting weather conditions.

Then came one of those serendipitous moments in human endeavour.

Lorentz was bored with waiting for the computer to give him the figures for the starting weather conditions (‘the initial conditions’) and so he estimated them. [Note – yes in those days, computers were slow!]

Effectively what he did was to ‘round’ certain figures to 3 decimal places instead of the 6 decimal places that the computer used. So, where Lorentz should have inputted 5.123456 for some measurement of the starting weather conditions, he actually inputted 5.123.

He thought to himself that it couldn’t do much harm to make such a small rounding error.

How wrong he was!

Such a small difference in the ‘starting weather conditions’ led to massive differences in the predictions of what the weather would be like. And remember the ONLY thing that had changed was the starting weather conditions.

Suppose that in the graph below, the first run of the computer program is using Lorentz’ 3 decimal place rounded figures for the starting weather conditions and the second run is using the actual computer figures for the starting weather conditions rounded to 6 decimal places.

You can see that Lorentz’ figures predicted RAIN and the computer’s figures predicted SUNSHINE.

Chaos three.png

If you have followed this argument, all well and good, but if you need more time to digest what is going on, do take the time you need and read over it again. But, you can be pleased with yourself if you understand the summary below:

In Lorentz’ weather model, varying the starting weather conditions by a seemingly insignificantly small amount led to a weather prediction of RAIN when in fact the prediction should have been SUNSHINE.

So, in general we can conclude that in some situations, looking at a hybrid of the simplified ‘Journey Equation’ and the Chaos Theory model , reproduced here below:

Chaos four.png

the “Where you start from” box can determine the “Where you end up” box [RAIN or SUNSHINE for Lorentz] to a very large degree, even if what you do ‘in the middle’ is basically the same.

Application to the patterns of CFS/ME recovery paths

Dr Myhill has noticed that the recovery paths of her CFS/ME sufferers have been much smoother and much ‘more complete’ where these sufferers have fully put into place her ‘Basic Package’ of interventions that everyone should do.

To take a step back momentarily, Dr Myhill’s CFS/ME protocol comprises effectively of 2 parts:

  • The Basic Package that everyone should do no matter what – TO BE PUT IN PLACE FIRST – THIS IS YOUR STARTING POINT – your ‘where you start from’ Box as above
  • Bolt on extras that are tailored to individual sufferers taking into account their medical history, test results, clinical signs and symptoms – TO BE ADDED ONTO THE BASIC PACKAGE AFTER IT HAS BEEN PUT IN PLACE

The Basic Package is:

The Bolt on Extras can be seen summarised here - Overview of CFS/ME protocol but include interventions directed at such diverse areas as:

  • Adrenal function
  • Thyroid function
  • A multitude of possible chronic infections, Epstein Barr Virus, Lyme Disease etc
  • Allergy
  • Autoimmunity

Now if we make the following analogies:

Chaos six.png

Then we can see how this model gives a framework as follows:

  • In Chaos Theory, a very small variation in the starting point (initial conditions) leads to massively varying ‘final states’ (RAIN versus SUNSHINE) even when everything else ‘in between’ (the dynamical system) remains the ‘same’
  • Dr Myhill has noticed that even a slight ‘deviance’ from the Basic Package (eg a patient not quite doing the PK diet properly) leads to massively varying recovery paths (GOOD SUSTAINED RECOVERY versus BUMPY SPORADIC RECOVERY) even when the patient is doing all the other Bolt On extras (the ‘in between’ bits) completely correctly.

So, from Dr Myhill’s experience, and using Chaos Theory as our model, we can see that getting the Basic Package ['where you start from'] in place is a very large determinant of a good sustained recovery path ['where you end up']. If you don’t get the Basic Package in place fully, and yet you do put in place all the Bolt On Extras you may find that your recovery path is bumpy and sporadic or worse still you may find yourself under a RAIN cloud rather than in the SUNSHINE.

The key point is this – do all you can to get the Basic Package FULLY in place – without this, you risk that all else may fail.


Like all models, this one has its flaws but my hope in doing this has been to show how important ‘where you start from’ can be to ‘where you end up’. It is in some ways an unexpected result as the intuitive thing would be to think of the ‘in between’ bit of the journey to be the most important, and of course these bits are important, but time and time again, Dr Myhill has seen that getting the Basics right (where you start from) has been the most important determining factor for the recovery path (where you end up).

Of course you do have to keep on doing the Basics all the time!

Those who know me from the Facebook groups and elsewhere will know that I am not a naturally dogmatic person and so the fact that I have taken the time to try and spell out this idea perhaps shows just how important it is.

Not every sufferer is the same and such articles are necessarily generalisations. From what I know of CFS/ME sufferers they are a bright and compassionate bunch of people, and so I implore you, dear reader, forgive me for my simplifications and then I can sleep safe in the knowledge that you have the intellect to apply the thrust of this idea to your individual cicumstances.

Never ever give up!

Chaos five.jpg

Historical Footnote 1

It was thought at one time that dead reckoning was an abbreviation of ‘deduced reckoning’ or even a misspelling of ‘ded reckoning’ (a contraction of deduced reckoning). This is not right. The use of ‘ded’ or ‘deduced reckoning’ is not known to have appeared earlier than 1931, much later in history than ‘dead reckoning’ which appeared as early as 1613 in the Oxford English Dictionary. Probably, dead reckoning originated from the use of the Dutchman's log, a buoyant object thrown overboard to determine the speed of the vessel relative to the object, which was assumed to be ‘dead in the water’. The expression deduced reckoning was used when allowance was made in the dead reckoning calculation for the sea current and wind.

Historical Footnote 2

For an outstanding example of Dead Reckoning, please see The Voyage of the James Caird This was a journey of 800 miles from Elephant Island in the South Shetland Islands through the Southern Ocean to South Georgia, lead by Sir Ernest Shackleton during the Imperial Trans-Antarctic Expedition of 1914–1917. This navigation, in a 22.5 foot lifeboat, and through the "Furious Fifties", known for their 60 foot waves and hurricane-force winds, is thought by many to be the greatest small-boat journey ever completed and it owed its success not only to the men aboard, but also to some fairly good Dead Reckoning!

The Basic Package has been thought out.....

The protocol has been 'thought out' over 38 years and most [if not quite all!] things have been thought of - this is why the basics are SO important - they lay the groundwork for all else.

Here are a few examples of where patients sometimes worry that certain aspects have not been 'covered' by the Basic Package, but, where in fact they have been!


Some people worry about getting the right 'co-factors' for supplements to work properly. They may have chosen these 'extra' supplements to address a specific issue for their particular clinical picture or these may be supplements that are in the Basic Package.

Vitamin D

Vitamin D is in the Basic Package - for Vitamin D, one looks at the following co-factors - vitamins K1 and K2 and others such as boron, vitamin A, omega 3 and magnesium. You will get enough K1 and K2 from the PK diet, and boron, vitamin A, omega 3 and magnesium are all covered by the basic supplements package - boron and magnesium are in sunshine salts [or multi mineral mix], omega 3 is in the recommended essential fatty acids and vitamin A is in the recommended Biocare multi vitamin / mineral - see Nutritional Supplements - what everybody should be taking all the time even if nothing is wrong


And for B12, which you may have added in for detoxification, one might look at potassium and folate as co-factors - again both covered by the basic nutritional package. Potassium is in sunshine salts and folate is in the the recommended Biocare multi vitamin / mineral- see Nutritional Supplements - what everybody should be taking all the time even if nothing is wrong

Getting enough Calcium and Iron

Some people, who are detoxing heavy metals, worry about getting enough calcium [calcium reduces metal toxicities] - they are concerned that the protocol states that calcium cannot be taken alongside the high levels of Vitamin D that are consumed within sunshine salts [5000iu per 5grams]

But, if you are taking vitamin D at those levels, then you will get all the calcium you need from the PK diet without taking a supplement.

Iron is also good at reducing metal toxicities and so some people worry that the protocol recommends against further iron supplementation.

But,there is 15mgs iron in the sunshine salts [or the multi mineral mix] and so long as you have enough stomach acid [as you will have from the vitamin C in the basic package] then that level of iron supplementation will suffice

Sunshine Salts - cations

Some expressed concerns about the sunshine salts as follows:

  • Sunshine salts contain calcium and magnesium and zinc which bind to the other minerals and stop them being absorbed. It’s a chemical reaction due to the cations
  • "I have tested the salts and they do not fully dissolve in water which means they form insoluble salts that we can’t use."

First, all minerals are positive cations and so they repel each other - so the first point as above is not right!
Secondly all minerals in sunshine salts are presented in soluble form - if they do not dissolve then you probably had a saturated solution – use more water or warm it up to solve this issue.

Linked Articles

External Links

'Tenuous Claim to Fame''

My amazing Applied Mathematics University Tutor, David Acheson, played tennis with Lorenz in 1973. Well I told it was tenuous.
If you want to learn more about David Acheson, please see:

And if you watch only one YouTube, make it this one!

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