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Essential Cell Biology 5th edition

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Free Energy and Catalysis

91

lake with

waves

uncatalyzed reaction—waves not large

enough to surmount barrier

(A)

(B)

2 3

1 4

uncatalyzed

dry

river

bed

2 3

1

4

enzyme catalysis

of reaction 1

flowing

stream

catalyzed reaction—waves often surmount barrier

the universe (see Figure 3–5). Disorder increases when useful energy that

could be harnessed to do work is dissipated as heat. The useful energy in

a system is known as its free energy, or G. And because chemical reactions

involve a transition from one molecular state to another, the term

that is of most interest to chemists and cell biologists is the free-energy

change, denoted ΔG (“Delta G”).

ECB5 e3.14/3.14

Let’s consider a collection of molecules. ΔG measures the amount of disorder

created in the universe when a reaction involving these molecules

takes place. Energetically favorable reactions, by definition, are those that

create disorder in the universe by decreasing the free energy of the system

to which they belong; in other words, they have a negative ΔG (Figure

3–16).

A reaction can occur spontaneously only if ΔG is negative. On a macroscopic

scale, an energetically favorable reaction with a negative ΔG

is the relaxation of a compressed spring into an expanded state, which

releases its stored elastic energy as heat to its surroundings. On a microscopic

scale, an energetically favorable reaction—one with a negative

ΔG—occurs when salt (NaCl) dissolves in water. Note that just because

a reaction can occur spontaneously does not mean it will occur quickly.

The decay of diamonds into graphite is a spontaneous process—but it

takes millions of years.

(C)

energy

Figure 3–14 Enzymes catalyze reactions

by lowering the activation-energy barrier.

(A) The dam represents the activation

energy, which is lowered by enzyme

catalysis. Each green ball represents

a potential substrate molecule that is

bouncing up and down in energy level

owing to constant encounters with waves,

an analogy for the thermal bombardment of

substrate molecules by surrounding water

molecules. When the barrier—the activation

energy—is lowered significantly, the balls

(substrate molecules) with sufficient energy

can roll downhill, an energetically favorable

movement. (B) The four walls of the box

represent the activation-energy barriers

for four different chemical reactions that

are all energetically favorable because the

products are at lower energy levels than

the substrates. In the left-hand box, none

of these reactions occurs because even

the largest waves are not large enough to

surmount any of the energy barriers. In the

right-hand box, enzyme catalysis lowers

the activation energy for reaction number

1 only; now the jostling of the waves allows

the substrate molecule to pass over this

energy barrier, allowing reaction 1 to

proceed (Movie 3.1). (C) A branching set

of reactions with a selected set of enzymes

(yellow boxes) serves to illustrate how a

series of enzyme-catalyzed reactions—by

controlling which reaction will take place

at each junction—determines the exact

reaction pathway followed by each molecule

inside the cell.

CATALYSIS

enzyme–

substrate

complex

SUBSTRATE BINDING

active site

enzyme

enzyme–

product

complex

PRODUCT RELEASE

Figure 3–15 Enzymes convert substrates

to products while remaining unchanged

themselves. Catalysis takes place in a cycle

in which a substrate molecule (red) binds

to an enzyme and undergoes a reaction to

form a product molecule (yellow), which

then gets released. Although the enzyme

participates in the reaction, it remains

unchanged.

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