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A free energy is a thermodynamic potential that compares possible states under specified environmental constraints. For a closed system of fixed composition, treated as a simple compressible system with only pressure-volume work, stable thermodynamic equilibrium minimizes Helmholtz free energy at fixed temperature and volume, or Gibbs free energy at fixed temperature and pressure. The choice follows the experiment: a rigid sealed vessel and a sealed cylinder with a freely moving loaded piston impose different constraints. Both may exchange heat with a thermal reservoir. See W. C. Carter, MIT thermodynamics notes, sections 2-1.14 and 2-1.19.

The useful insight is that internal energy alone cannot rank these alternatives: exchanging heat also changes the surroundings' entropy. Subtracting $TS$ packages that accounting into a property of the chosen system. Adding $pV$ additionally accounts for displacing the surroundings at fixed pressure. A free energy is a state function; supplied heat describes a transfer during a process. Under the stated constraints, supplied heat is $Q=\Delta U$ at fixed volume or $Q=\Delta H$ at fixed pressure, whereas neither $\Delta F$ nor $\Delta G$ generally equals $Q$.

A lower free energy identifies a thermodynamic preference, without specifying a timescale. A barrier can trap a system in a local minimum, producing metastability although a lower global minimum exists. The enzyme example illustrates the corresponding distinction for chemical reactions: changing the route can change the reaction rate while preserving the endpoint Gibbs free energy difference and chemical equilibrium.

Wee1 is an enzyme inhibiting Cdc2 through phosphorylation.

Blocking occupies unused binding sites on the Western blot membrane. The primary antibody is applied, unbound material is washed away, and a labelled secondary antibody detects retained primary antibody. A fluorescence label emits detectable light after excitation; an enzyme-linked label can instead generate a colored product or light. Washing reduces background but does not prove that remaining binding is selective.

In the original experiment, blocking used excess protein. An anti-ribosome-protein serum followed by labelled secondary antibody produced colored or fluorescence bands; preimmune serum supplied comparison strips. The color readout was an enzyme reaction product, rather than a measurement of target enzyme activity. ^[ref]

Band position gives an apparent mass, not unique protein identity. Intensity depends on retention, epitope recognition and detection response; it does not establish folded state, enzyme activity or successful protein targeting. Missing bands can reflect missing targets or failed Western blot transfer or Western blot antibody detection. ^[ref]

The yeast cross-species complementation experiment consequently combines two logically different readouts: Western blot evidence about production of an antibody-recognized protein, and growth evidence about functional complementation. A detectable protein need not perform the biological task required for growth.

Western blot response saturation means that increasing target amount no longer increases the recorded signal proportionally. It can arise before imaging, through limited binding or reagent availability, as well as through detector limits. Shortening exposure can address a detector limit without repairing an already unresponsive assay. Test the target and normalization readouts with a dilution series under the actual assay conditions; merely seeing a gray band does not establish a proportional response.

In a 2013 methods experiment, a biological cell extract containing added purified yeast protein was separated on gels, transferred with a Trans-Blot Turbo to polymer membranes, and read with an enzyme-linked secondary antibody. A ChemiDoc MP imager and film recorded the same dilution-series blots. The target and an abundant reference protein had different usable response ranges; transferred total-protein imaging and the reference bands did not track loading equally well. This demonstrates the need for assay-specific response checks, rather than a universal conversion from darkness to amount. ^[ref]

An illustrative response model separates background $b$, target amount $T$, retained fraction $q$, response scale $S$ and characteristic amount $K$:This is an assumed model, not a fitted Western blot calibration. When $qT\ll K$, $I-b\approx (Sq/K)T$. When $qT\gg K$, $I-b$ approaches $S$. For two otherwise identical lanes, doubling $T$ gives the background-corrected ratioAt $qT=K$ the ratio is $4/3$, despite a true twofold amount change. Thus Western blot normalization cannot recover a lost amount difference merely by dividing two saturated readouts.

Yeasts are fungi whose growth is predominantly unicellular, commonly through budding or division into two cells. The word describes a growth form across different fungal lineages, rather than one species or an exclusive clade; some fungi can switch between unicellular and filamentous growth. Thus Saccharomyces cerevisiae is a yeast, but yeast is not another name for that one species. See Kurtzman, Fell and Boekhout, The Yeasts, chapter 1 (2011): definition and classification.

A yeast cell has eukaryotic organization, including a cell nucleus, mitochondria and a cell wall. Small size and a unicellular lifestyle do not make it a member of bacteria. These compartments let an experimentally accessible biological cell retain much of the organization shared with other eukaryotes. See Clark, Douglas and Choi, Biology 2e, 24.1: fungal cells and yeast growth.

A motivating experiment: can fermentation continue without intact yeast cells? In 1897, Eduard Buchner ground brewers' yeast with quartz sand and diatomite, added water, and pressed out a liquid extract. Adding concentrated cane sugar produced carbon dioxide after 15–60 minutes. A cell-retaining filter still yielded an active filtrate: with sterilized cane sugar in an icebox, fermentation began after about a day. Saturated lactose gave no observed fermentation. These are reported observations, not invented control results. See Buchner, Alcoholic fermentation without yeast cells (1897), translated excerpt hosted by Carmen Giunta.

The filtration comparison addresses the objection that surviving intact yeast cells caused the activity. The lactose comparison tests substrate dependence; it is not a no-sugar blank, nor a comparison at matched sugar concentrations. A proposed modern follow-up would also compare the same extract with and without added sugar, accounting for material already in the extract. That is an experimental suggestion, not a result attributed to Buchner. His report specifies brewers' yeast; it does not identify the preparation here as a pure Saccharomyces cerevisiae strain.

Heat treatment asks a different question: does destroying activity in the extract stop fermentation? Buchner's preliminary report described weak or absent activity after heating and filtration, rather than one clean universal threshold. Harden's 1914 account of the subsequent work summarized loss of activity on heating the juice to $50{}^{\circ }\mathrm{C}$. Harden also described requirements for both enzymes and coenzymes. Cell-free therefore means neither chemical-free nor a preparation containing one purified enzyme. See Arthur Harden, Alcoholic Fermentation (1914), chapters II and VI: cell-free activity and the fermenting complex.

The inference is that extracted cellular machinery can sustain these chemical reactions without an intact living biological cell. This does not show that the extract reproduces, grows or maintains itself like a yeast. Moreover, gas evolution alone does not identify ethanol: cellular respiration can also release carbon dioxide. Product identification is a separate measurement; Harden's account describes both ethanol and carbon dioxide as products of cell-free alcoholic fermentation. The beautiful separation is between the organism that produces and maintains the machinery and the machinery that catalyzes a particular transformation.

Can a gene from Schizosaccharomyces pombe replace a missing function in Saccharomyces cerevisiae? A modern laboratory project tested functional complementation of methionine synthesis. For each tested gene deletion, the investigators compared plasmids carrying the corresponding Saccharomyces cerevisiae gene, a candidate Schizosaccharomyces pombe gene, and an unrelated gene. The first was a positive scientific control; the last was a negative scientific control. The paper describes this design rather than publishing a complete set of individual growth measurements. ^[ref]

The recipient biological strains also lacked the ability to make uracil. The pYES2.1/V5-His plasmids carried URA3, a gene restoring that ability, and used the GAL1 gene promoter to control the inserted gene. Initial plates lacked uracil but supplied methionine: this selected biological colonies containing plasmids without requiring successful methionine synthesis. Subsequent plates lacking methionine tested the missing function, comparing galactose induction with glucose conditions. Thus selecting for a plasmid and testing its functional contribution were separate operations. ^[ref]

The apparatus can be simple and informative. In the associated protocol, replica plating uses a block covered with velveteen to transfer small samples of biological colonies from a master plate onto plates with different nutrient conditions. Orientation marks preserve correspondence between locations; gentle contact limits the transferred material. The specified replicas omit uracil and methionine with either inducing sugar or glucose, and include a fresh glucose plate supplying methionine. The readout is growth at corresponding locations, not a direct measurement of enzyme activity. ^[ref]

The scientific controls answer different objections. Growth on the methionine-supplied replica checks survival and transfer. Rescue by the native gene checks that this biological strain and assay can reveal functional complementation. The unrelated gene tests whether carrying a plasmid alone is sufficient. Comparing induction conditions checks dependence on gene expression, although changing the sugar also changes metabolism: it is not an isolated change of gene expression in every other respect.

If the candidate gene restores growth while those comparisons behave as intended, it supplies a function sufficient for the tested growth requirement in this recipient. Failure to rescue is less decisive: the candidate protein might not be produced, might be altered by its attached tag, or might not work in this cellular context. The investigators therefore also used Western blots to examine protein production. A detected protein still does not establish correct protein folding or catalytic activity. ^[ref]