Sunday, June 10, 2012

Equilibrium Coefficient of a Fat Cell

Warning: a bit of not very heavy maths, a bit of physical organic chemistry.

This is conjecture at this time, but it is the broad stroke, crude model of a fat cell.

First we have glucose (Gu), fructose (Fu), and free fatty acid (FFA) that can flow across the cell membrane. Fu and FFA by pure diffusion, and Gu with the help of insulin. We can express the concentration as [Gu], [Fu] and [FFA]. The equilibrium coefficient equation must look something like K= [Gu]x[Gu]  / {[Fu]x[FFA]}.
So examining the equation, to lose weight we want [FFA] to increase. It is essential to eat to drive [Fu] down, and limit [Gu] supply, but [Gu] is related to blood glucose, so is essentially stable on low carb. [Fu] is a small number, but is liver overflow, that likely increases with fructose intake and liver damage. It is uncontrolled for the most part.

K is actually a lumped value of all the k of each step in the process. The concentrations verses time plot will produce a big X curves before equilibrium.

So what does this all mean: No fructose, no fruit, yields high fat loss potential. Appetite should drop, at least low craving part. Gut hunger, gut first pass effect will still occur, but a bit of oil and water should feed the gut.

The sum of fat, glucose, fructose, and damaged protein must caloric still be less than what we burn to lose weight. No argument, but the appetite reduction that should happen with no fructose is the key.This still leaves compulsive eating and other food addictions to be dealt with.

It seems to work; I am down 2.9 kg in 4 days. If we assume glycogen and a bit of fat loss, the number is good. No hunger except just before evening meals, 7 hours after lunch.

More on the derivation later.


  1. I love this! I have a similar theory of the spontaneity of fatty acid oxidation to explain why calories in/calories out wouldn't hold up.

  2. good going!!! hang on to that momentum! :-)

  3. Graham: here is the physical data demonstrating the problem

  4. I just started studying a related problem. I need to know the extent of fat"reuse". The body is continuously breaking down cells and replacing them. Are the cell fragments broken down and reused? or are they broken down and excreted? or both.

  5. Allen: I will answer this as a new post.


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