Re: Entropy

From: DNAunion@aol.com
Date: Wed Oct 25 2000 - 23:10:29 EDT

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    >>David Bowman: Since responding to DNAunion's long 2-part post of 22 OCT
    would require more time than I have, and since any response I would make to
    it would most likely be met with a further interminable barrage of low
    signal-to-noise ratio responses that would be demanding of further cycles of
    correspondence on my part, I have decided to spare the reflector readership
    from suffering through it all by not responding to those posts in the first
    place.
     
    DNAunion: Anyone care to step in for David?

    First, a few definitions need to be addressed.

    ORGANIZE

    "Organize: … To arrange elements into a whole of interdependent parts. …"
    Webster's Ninth New Collegiate Dictionary.

    Further information on Organize can be found in Webster's by looking up
    Order. "… ORDER, ARRANGE, MARSHAL, ORGANIZE, SYSTEMATIZE, METHODIZE mean to
    put persons or things into their proper places in relation to each other. …
    ORGANIZE implies arranging so that the whole aggregate works as a unit with
    each element having a proper function…"

    Thus we can see that something that is organized is in a "higher state" than
    something that is ordered. As I said elsewhere, leaves in a pile are
    ordered, but not organized. The parts of a cell (or a car engine) are both
    ordered and organized.

    OVERCOME

    Looking at the definition of Order: "… CONQUER, VANQUISH, DEFEAT, SUBDUE,
    REDUCE, OVERCOME, OVERTHROW mean to get the better of by force or strategy.
    … OVERCOME suggests getting the better of with difficulty or after hard
    struggle…" Webster's Ninth New Collegiate Dictionary.

    I believe that my *figurative* use of the word overcome has been appropriate.
     Life is in a constant *struggle* to maintain itself (it's cells) far from
    equilibrium, and in a constant *struggle* to oppose the natural tendency
    toward greater disorder. Furthermore, I have consistently enclosed the word
    overcome in double quotes, such as "overcome", to indicate that it should not
    be taken literally. In addition, I explained my particular usage by giving
    examples.

    Nowhere did I state that entropy was somehow eliminated, or done away with,
    or became non-existent, or killed: it was always present, just that a flow of
    energy or matter through the system could "outweigh" its negative effects.

    Interestingly, my other molecular cell biology college text actually uses the
    term overcome (with no double quotes) in a similar manner, stating that a
    great enough positive change in entropy can cause a reaction to be
    thermodynamically spontaneous despite its having a large positive change in
    enthalpy (I don't have that text on me now, but if someone would like the
    exact wording, I could look it up and post it).

    Now, on to my supporting material from one of my college cell biology texts.

    "As this chapter has emphasized, the driving force in all reactions is their
    tendency to move toward equilibrium." (Wayne M. Becker, Jane B. Reece, &
    Martin F. Poenie, The World of the Cell: Third Edition, Benjamin/Cummings
    Publishing Co., 1996, p133)

    DNAunion: Very important point - keep it firmly in mind. All reactions have
    a tendency to move toward equilibrium.
     
    "But to understand how cells really function, we must appreciate the
    importance of reactions that move toward equilibrium without ever achieving
    it." (Wayne M. Becker, Jane B. Reece, & Martin F. Poenie, The World of the
    Cell: Third Edition, Benjamin/Cummings Publishing Co., 1996, p133)

    DNAunion: If the natural tendency for chemical reactions is to reach
    equilibrium, yet the reactions in a cell do not, then there must be
    *something* that opposes that natural tendency.

    "At equilibrium, the forward and backward rates become the same for a
    reaction, there is no net flow of matter in either direction, and, most
    importantly, no further energy can be extracted from the reaction because
    [the change in Gibbs free energy] is zero for a reaction at equilibrium. For
    all practical purposes, then, a reaction at equilibrium is a reaction that
    has stopped. But a living cell is characterized by reactions that are
    continuous, not stopped. A cell at equilibrium would be a dead cell." (Wayne
    M. Becker, Jane B. Reece, & Martin F. Poenie, The World of the Cell: Third
    Edition, Benjamin/Cummings Publishing Co., 1996, p133)

    DNAunion: Sounds familiar, no? Of course it does, that's what I've been
    saying repeatedly in the last couple of my posts on this subject.

    "We might, in fact, define life as a continual struggle to maintain a myriad
    of cellular reactions in positions far from equilibrium because at
    equilibrium no net reactions are possible, no energy can be released, no work
    can be done, and the thermodynamically improbable order of the living state
    cannot be maintained." (Wayne M. Becker, Jane B. Reece, & Martin F. Poenie,
    The World of the Cell: Third Edition, Benjamin/Cummings Publishing Co., 1996,
    p133)

    DNAunion: A continual *struggle*? *Against* the natural tendency of
    reaching thermodynamic equilibrium? The *order* associated with life is,
    thermodynamically-speaking, highly improbable? Sounds to me like there *is*
    something that opposes matter's being organized in the complex ways
    associated with life.

    "Thus, life is possible only because living cells maintain themselves in a
    steady state far from thermodynamic equilibrium." (Wayne M. Becker, Jane B.
    Reece, & Martin F. Poenie, The World of the Cell: Third Edition,
    Benjamin/Cummings Publishing Co., 1996, p133)

    DNAunion: De ja vu - I said that too.

    "This [steady] state [far from equilibrium], in turn, is possible only
    because a cell is an open system and receives large amounts of energy from
    its environment. If the cell were a closed system, all its reactions would
    gradually run to equilibrium and the cell would come inexorably to a state of
    minimum free energy, after which no further changes could occur, no work
    could be accomplished, and life would cease. The steady state so vital to
    life is possible only because the cell is able to take up energy continuously
    from its environment, whether in the form of light or preformed organic food
    molecules. This continuous uptake of energy and the accompanying flow of
    matter make possible the maintenance of a steady state in which all the
    reactants and products of cellular chemistry are kept far enough from
    equilibrium to ensure that the thermodynamic drive toward equilibrium can be
    harnessed by the cell to perform useful work, thereby maintaining and
    extending its activities and structural complexity." (Wayne M. Becker, Jane
    B. Reece, & Martin F. Poenie, The World of the Cell: Third Edition,
    Benjamin/Cummings Publishing Co., 1996, p133)

    DNAunion: My statements have agreed with this nicely. A continuous flow of
    matter and energy are *required* to keep the cell far from thermodynamic
    equilibrium. If that flow ceases, the structural complexity and order of the
    cell or cells cannot be maintained against the natural tendency towards
    greater disorder. This clearly indicates that matter *does* have something
    against being organized in complex ways like those associated with life.

    I will take a short detour to give another example: rigor mortis. Upon
    death, the sarcoplasmic reticulum in skeletal muscle fibers becomes unable to
    maintain the proper calcium ion concentrations inside and Ca++ cations begin
    leaking out into the sarcoplasm (the inside of the individual muscle cells).
    Note that this results in an increase in the randomness of the calcium
    cations, just as a drop of food coloring diffusing throughout a glass of
    water does. Without getting too technical, calcium ions cause portions of
    muscle fibers to undergo "cock, grab, pull, release; cock, grab, pull,
    release" cycles, sliding thick and thin filaments across each other, inward
    toward a common center, shortening the muscle fiber: i.e., the muscle fiber
    contracts. But the body has no means of elongating a muscle fiber, just
    contracting one. (Under normal conditions, the already-contracted muscle
    ceases to actively contract and either an antagonistic skeletal muscle
    contracts, or gravity or some other external force steps in, in order to
    elongate the originally-contracted muscle fiber). So as long as calcium ions
    continue to be released from the sarcoplasmic reticulum into the sarcoplasm
    and/or are not removed by being taken back up into the sarcoplasmic reticulum
    (as is normal), the muscle fiber will continue to contract (or remain fully
    contracted, if already contracted). Since this breakdown in control occurs
    in all muscle cells "at the same time", all the human's skeletal muscles
    tense up tightly and remain fully contracted, causing the stiffness
    associated with rigor mortis. But as time goes by, tissues begin to break
    down further (it's that continual need to "battle" the tendency toward
    increases in disorder again), including the skeletal muscles. As the muscle
    fibers break down, obviously, they can no longer actively contract or remain
    tensed: rigor mortis eventually ceases without outside intervention.

    Again, the organized and complex arrangement of matter that comprises
    skeletal muscle fibers is "unnatural" - the human body must continually
    struggle actively to maintain that order and organization, and once it can do
    so no more, disorder becomes greater and greater over time.
     
     "Have you ever considered how downright improbable you are? … What you are
    contemplating is the thermodynamic improbability that the order of the human
    body (or any other biological entity) could come into being spontaneously or,
    for that matter, could be maintained in such a highly ordered state once it
    had come into being. On the contrary, things in nature usually proceed from
    an ordered state to a less ordered one, not the other way around." (Wayne M.
    Becker, Jane B. Reece, & Martin F. Poenie, The World of the Cell: Third
    Edition, Benjamin/Cummings Publishing Co., 1996, p112)

    DNAunion: Yes, because matter does have something against its being
    organized in complex ways. But the tendency towards greater disorder can be
    "overcome".

    "However improbable a structure may be because of its order, it can always be
    generated if sufficient energy and information are available. Energy and
    information are, in other words, two indispensable prerequisites for the
    existence of life. Order can be brought about, maintained, and even extended
    in biological systems provided that adequate information and energy are
    available. The information is required to specify what form that order
    should take, and the energy is needed to drive the reactions and processes
    that lead to the order." (Wayne M. Becker, Jane B. Reece, & Martin F. Poenie,
    The World of the Cell: Third Edition, Benjamin/Cummings Publishing Co., 1996,
    p112)

    DNAunion: Again, my statements have agreed with this nicely.

    Finally, it might be that David Bowman and I are looking at different things
    - this has occurred in other of my discussions. Let me bring in another
    example that should help explain what I am talking about.

    When phospholipids (of the correct length and in the proper number) are
    introduced into water, they spontaneously form a phoshoplipid bilayer that
    then curls up into a ball (a liposome). One person was arguing that this
    represented a localized increase in order, while his/her opponent was arguing
    that it was an example of a decrease in order. Who was correct? The one
    person took only the phosopholipids into consideration, and they do become
    more ordered as the individual dispersed (i.e., randomly distributed)
    phospholipids aggregate to form a single larger grouping (i.e., less random
    distribution): AND their freedom of movement does become more restricted. So
    the person arguing that it was an increase in order was correct, right?
    Well, the opponent was taking more into consideration: the water as well.
    When the phospholipids are introduced into water, their long hydrocarbon
    tails will not dissolve in it (water molecules are polar) because they are
    hydrophobic ("water fearing"). In order for them to become inserted amongst
    the water molecules, they would have to disrupt existing hydrogen bonds
    without being able to form any bonds with water in return, which is a "no
    no". Thus, water molecules surround the individual phospholipid tails
    forming "water cages" around them. The water molecules in these cages are
    restricted in their movement: that is, they are ordered. But when two
    phospholipids come together, the two small water cages can be replaced by a
    single larger water cage surrounding the now single group of hydrophobic
    tails - *and the single large water cage will consist of fewer water
    molecules than did the two smaller ones combined*. Thus, a net increase in
    the freedom of movement in the water molecules: disorder increases. This
    same process continues because in each instance, it reduces the number of
    water molecules restricted to surrounding phospholipid tails. So the
    phospholipids become more ordered, but the water becomes less ordered: the
    net effect is a decrease in order, just as entropy insists. So if one views
    only the molecules of primary interest, the result is an increase in order,
    but if one views instead the molecules of primary interest and those they
    interact with, the result is a decrease in order. Note that for any decrease
    in entropy, there MUST be an equal or greater compensatory increase in
    entropy elsewhere: this applied in the above example. No one was trying to
    get around that fact.

    Now, I am not sure if this is the case: I don't know if David and I are
    looking at the same thing from different perspectives. To be honest, I can't
    determine the exact details of his position because most what he is saying is
    way over my head.



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