"The entropy of an isolated system not in equilibrium will tend to increase over time, approaching a maximum value at equilibrium." (
Rudolf Clausius)
First, we must define the world
entropy. I will use the term
entropy to describe the "disorder" of a system.
The lower the entropy of the system, the more ordered it is. For example, ordered water molecules such as in an ice-cube have
lower entropy than the surrounding water which has a random arrangement of water molecules (if you want to get picky liquid water also has a fair amount of organization, but relative to the rigid structure of ice, it can be described as "disordered".)
The laws of thermodynamics mandate that
in any process the sum entropy of the entire system must never decrease. So what does this mean in a practical sense? Well, we've already discussed how an ice-cube has lower entropy than the surrounding water. In order to go from liquid water to frozen water, the entropy of the water molecules must decrease. So why isn't that a violation of thermodynamics? We must consider the entire system involved. Your freezer takes electrical energy (a low entropy system) and expends that energy to lower the air temperature, which then freezes the water. The energy that was used to lower the air temperature is now in a higher entropy state (heat exhaust from your freezer), while the ice-cubes molecules are now in a lower entropy state. Another way of stating this is that
work must be done to lower the entropy of the water molecules.
Applying this concept to cells is quite straightforward. For every increase in organization of the cell, there must be a net expenditure of energy, just like in our freezer. Ultimately, the source of energy in most biological systems is the sun. Plants use the sun's energy to lower the entropy of carbon molecules and turn them into various carbohydrates. Animals eat plants and use their low-entropy carbon-chains to make high-
energy (but low entropy) ATP. This ATP is then used as the "universal currency" for cellular energy. It's kind of like the electrical energy in our freezer example. Every process in the cell whic decreases entropy, be it synthesis of lipids, proteins, hormones, etc., uses ATP as the low-entropy energy source. The result is the net
decrease in entropy of the organism and a net
increase in entropy of the environment.
So let's look at a simple theoretical case about how a cell could potentially double it's genome content, increase it's information content, add complexity, and do this all according to the laws of thermodynamics!
Suppose we have a single replicating cell. In that cell's DNA content is a gene that codes for a single enzyme which pumps sodium (Na) back out into the space around the cell (extracellular space). We'll call this enzyme
PUMP-A. PUMP-A works fantastic until the concentration of magnesium (Mg) inside the cell (intracellular) reaches a threshold value. When this happens, PUMP-A actually works in reverse, pumping Na back into the cell until the cell bursts. Here's our genetic code for the PUMP-A enzyme:
5' - AUG GAA GUA GAC CTA ACC TAA - 3'
Each time the cell replicates, it's internal copying mechanisms pass over this sequence and use ATP (our source of energy) to make a copy of this gene for one of the daughter cells. Now imagine that during one of the replications a mistake is made and the gene gets
copied twice. We'll assume for the sake of argument that this gene duplication reduces entropy of the DNA content as a whole. We know from the laws of thermodynamics that in order to reduce local entropy, we have to expend some usable energy. So where could this energy come from?
The same place the energy comes from during normal replication: cellular ATP stores. So while normal replication may have used 21 ATP (one for each base), the duplication error cost the cell 21 extra ATP for a total of 42 ATP.
Notice that the total entropy of the system has been reduced, but at the cost of extra ATP energy. Now our gene looks something like this:
5' - AUG GAA GUA GAC CTA ACC TAA - AUG GAA GUA GAC CTA ACC TAA - 3'
Notice how the gene is doubled. We'll imagine this isn't a problem for the cell -- in fact, it actually helps the cell because it gives it 2 PUMP-A enzymes instead of just one! So this DNA sequence provides a slight advantage over other cells that have just a single copy of the gene. After a number of generations, let's assume this gene increases in frequency and is now found throughout 95% of the cells in the population.
Some time later, a single mutation happens in the second gene, changing the sequence to the following:
5' - AUG GAA GUA GAC CTA ACC TAA - AUG GAA GUA GAC C
AA ACC TAA - 3'
Recall that during the copying of this gene, the cell expends 21 ATP. This changed gene represents an increase in complexity and organization, so we know by the laws of thermodynamics it
came at the cost of "work" being performed of ATP. Now when this gene is transcribed it produces the normal PUMP-A, and a slightly different version of PUMP-A we'll call
PUMP-B. PUMP-B has lost its ion selectivity (1), and now it pumps
both magnesium AND sodium out of the cell. This means that the cell carrying this gene is much less susceptible to magnesium reversal because PUMP-B actively pumps magnesium out of the cell! Over a number of generations, this "version" of the gene becomes the predominant version in a population.
So let's take a look at what has happened here. The cellular genome has increased in both size AND content -- it now codes for two versions of the pump which give the cell a selective advantage over other cells which possess the older gene. Overall we can say that the cell has increased it's organization and thus reduced it's entropy.
But this was not a free exchange -- it cost the cell ATP. In this scenario no laws of thermodynamics were violated. Each decrease in genome entropy was made possible by an equal or greater
increase in entropy of ATP.
That should give us somewhere to start.
(1) I chose this wording intentionally to make a point. Creationists often claim that genes can only go downhill, and it's likely that this mutation would be called a "downhill" mutation because PUMP-B has
"lost specificity". Carefully consider the ramifications of this. The exact opposite mutation (i.e. "A" back to "T") would give us the exact opposite response: PUMP-B would gain specificty and respond ONLY to sodium.
Creationists might also call this reversal a "downhill mutation" and claim that it "lost" it's ability to respond to magnesium and now only responds to sodium! But we know that both mutations cannot be downhill mutations!