Thursday, May 3, 2012

Over Simplification of Energy Balance & the First Law of Thermodynamics


There are many variables that go into any type of diet.

All too often people try to describe complex things in the world in terms of black and white.  This is particularly true with dieting, specifically the two sides of the “caloric balance”.  One side says “eat less, move more” and one side says “eat this not that”.  The “if it fits your macros” camp will tell you that as long as you eat fewer calories and exercise a lot, you will lose weight.  The “good calories bad calories” will tell you to avoid processed foods and eat lots of veggies and healthy meats and you will lose weight?  Who’s right and who’s wrong?  Both!  

It really doesn’t take too much reason to find flaws in both camps- they do it to each other all the time.  If you give a severely obese child nothing to eat but Snickers, Doritos and Coca-Cola (making sure it’s around a 20% deficit of total daily energy expenditure, let’s say around 500 calories less intake than expended) will the kid lose weight?  Likewise if you gorge yourself on fresh fruits, veggies and meat at a 1000 calorie surplus on a daily basis, will you lose weight?  Let’s take a closer look at some simplified equations to perhaps find an answer.

First off, if someone tells you that weight loss is easy, it’s all about the first law of thermodynamics you should at minimum walk away from them, probably run.  Before hand I would suggest laughing at them, or perhaps giving them a good smack.  There are so many people who have become experts in the field of weight loss and will prescribe simple solutions such as “eat less and exercise more, it works because of the first law of thermodynamics. ”  I find this slightly offensive, and as an engineer that is gets paid on a daily basis for doing actual real work involving the first law of thermodynamic, I tend to want to strangle people who mention this. 

The first law of thermodynamics states:

“THE INTERNAL ENERGY OF AN ISOLATED SYSTEM IS CONSTANT”

Mathematically:

dU= dq + dw

The equation can be verbalized as the change in internal energy of a closed system (U) is equal to the energy that passes through its boundary as heat (q) or work (w).  For the non-math geeks, the “d” in before U, q, and w is basically denoting a small change or differential.

What people are really trying to invoke is energy balance- and there is a difference.  The first law of thermodynamics is a descriptor for a CLOSED thermodynamic system.  That means there is no mass exchanged between the outside of the system and the inside of the system.  Obviously, people who say weight loss is all about the first law of thermodynamics really don’t know the first law, don’t know what they are talking and perhaps don’t understand matter is typically both inputted and outputted from humans, despite the fact that they may lack the output as they are most likely full of $#!T.  While the first law does imply energy conservation, it is in terms of the change in the internal energy of a CLOSED system being equal to the heat added to the system and the work done by the system.  Honestly, it’s not built to be applied to the human body- it’s a little bit of a stretch to do so.

What they are really after is the energy balance equation usually stated in some form of “you have to burn more than you consume”, or “If you take in more energy than you burn, your body will store the excess as fat.  And likewise if you don’t take in as much as you need, your body will burn fat”.  Again, this is a simplification and almost seems to imply causation. 

Our bodies are really chemical reactors, and we can create equations to account for the conversation of energy and mass.  This is standard operating procedure for chemical engineers. The balance equation should really be stated more along the lines as

Energy Input to the body = Energy Output from the body +disappearance of energy by chemical reaction within the body + Accumulation of energy within the body

There is nothing in the energy equation that directly accounts for mass.  The mass balance must be performed similarly,

 Mass Into the body = Mass Out + Mass loss due to chemical reaction within the body+ Accumulation of Mass within the body

The two equations relate to each other in terms of the chemical reactions that take place in the body.  To put everything in terms more closely related to the human body we will structure the above equations to simplify things a bit:

Calories In = Calories Out + Net Change in Mass

Now I’m all for simplification and assumptions, however the fastest way to the wrong answer is oversimplification and the wrong assumptions.  The first problem is simplification of the “calories out” term.  Calories Out is made up of more than just exercise (exercise for most people is actually a very small percentage of the total).  The majority of calories out for most people will be due to basal metabolic rate (BMR), the daily energy requirements for the functioning of all our organs.  Additionally there is the thermic effect of food (TEF), basically the energy required to process food ingested.  Finally calories are used for external work, basic physical activity.  Some sources will refer to this as physical activity level (PAL), some refer to the Thermic Effect of Activity (TEA).  Some researchers have further tried to complicate the activity breakdown by including Non-Exercise Activity Thermogenesis (NEAT) or Spontaneous Physical Activity (SPA).  So substituting these new terms into the balance equation we have

Calories In= BMR + TEF + PAL +SPA + Net Change in Mass

Rearranging this so we can see it in terms of mass change:

Net Change in Mass = BMR + TEF + PAL +SPA  - Calories In

The “eat less exercise more” people will assume that food in and energy used on exercise are the only adjustable variables in our equations.  In fact, most of these terms are interrelated, and changing one will most likely affect another. 

For example, doing a lot of hard “metabolic conditioning” type training, something like Crossfit, or P90X, will burn some calories (PAL goes up) will also deplete muscle glycogen stores and lower the metabolic rate (BMR goes down!)1.  To complicate things even more, prolonged light exercise has been found to increase metabolic rate2.  So studies have shown that increasing PAL can both increases and decrease BMR.  It has also be proposed that increase in physical activity results in less weight loss than expected due to changes in other components of the energy balance equation9.

Not only does exercise affect metabolic rate, but the food you eat after your work out will also affect your metabolic response- a carbohydrate reefed after exercise will increase BMR1.  In fact, it has been regularly argued that the makeup of the Calories In macronutrient profile (protein, carbohydrate and fat) can affect weight change due to energy inefficiencies34, 5

This leads into the TEF; any change in calories in will also change the TEF (less food, less energy to process it, more food, more energy to process it). Additionally, not all calories will be processed (chemically reacted) by the body in the same way, and the efficiencies of these reactions will be different.  So by changing the composition of the calories in, the TEF term equation will be altered.  For example, it has been shown that whole food has a much larger effect than processed food6.   More specifically, the thermic effect of protein is 20-35% of the calories, 5-15% for carbohydrates, and 0-15% for fat8. This is basically to say for every 100 calories of protein ingested, 20-35 calories must be used by the body to process it. To further complicate things, TEF is not only dependent on the type of food, but on the person eating the food- people with insulin sensitivity and obesity have a blunted TEF7.

Increase in caloric intake may also cause some people to fidget or move around more, burning calories and becoming resistant to weight gain when overeating10.  Thus, increasing the Calories In, may, for some people, affect the amount of spontaneous physical activity, and thus change how many calories may be burned.

In conclusion I would like to summarize that the energy balance equation does hold true, however, it is not as simple as most people make it.  A calorie really isn’t a calorie (not even mentioning some of the psychological aspects).  Changing the exercise and amount of calories ingested, and specifically the type of exercise and calories ingested, will have effects on other components of the energy balance equation.  To from an article by Dale Schoeller quote “Using the energy balance equation to predict weight change when only energy intake is know or when only energy expenditure is know is not valid because that calculation makes the assumption that the other term will not change… because changes in any one term often are met with a response that counters some of the effect of that change on energy balance.”11

When you get down to brass tacks, both the calories you eat, the type of calories you eat, the exercise you do, and the type of exercise you do, all in combination with each other must be taken into account for weight loss and optimum health.  Not everyone can blindly eat less and exercise more, or only eat healthy.  Granted, if it works for you, then all is well.  But it may not be as easy for all people.  Some people can get away with eating anything they want and exercising away the fat, however they are few and far between.  There are people who eliminate sugar and processed carbs from their diet and the fat melts off, but not everyone has the will power.  There are many variables that go into a weight loss diet (or weight gain/bulking diet), and the key is finding what works for you.

As for our two examples in the second paragraph, I’ll let you decide. 






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