New distinct compartments in the G2 phase of the cell cycle defined by the levels of γH2AX.

Induction of DNA double strand breaks leads to phosphorylation and focus-formation of H2AX. However, foci of phosphorylated H2AX (γH2AX) appear during DNA replication also in the absence of exogenously applied injury. We measured the amount and the number of foci of γH2AX in different phases of the cell cycle by flow cytometry, sorting and microscopy in 4 malignant B-lymphocyte cell lines. There were no detectable γH2AX and no γH2AX-foci in G₁ cells in exponentially growing cells and cells treated with PARP inhibitor (PARPi) for 24 h to create damage and reduce DNA repair. The amount of γH2AX increased immediately upon S phase entry, and about 10 and 30 γH2AX foci were found in mid-S phase control and PARPi-treated cells, respectively. The γH2AX-labeled damage caused by DNA replication was not fully repaired before entry into G₂. Intriguingly, G₂ cells populated a continuous distribution of γH2AX levels, from cells with a high content of γH2AX and the same number of foci as S phase cells (termed “G₂H” compartment), to cells that there were almost negative and had about 2 foci (termed “G₂L” compartment). EdU-labeling of S phase cells revealed that G₂H was directly populated from S phase, while G₂L was populated from G₂H, but in control cells also directly from S phase. The length of G₂H in particular increased after PARPi treatment, compatible with longer DNA-repair times. Our results show that cells repair replication-induced damage in G₂H, and enter mitosis after a 2–3 h delay in G₂L.     

Design of nucleic acid sequences for DNA computing based on a thermodynamic approach

We have developed an algorithm for designing multiple sequences of nucleic acids that have a uniform melting temperature between the sequence and its complement and that do not hybridize non-specifically with each other based on the minimum free energy (ΔG_min). Sequences that satisfy these constraints can be utilized in computations, various engineering applications such as microarrays, and nano-fabrications. Our algorithm is a random generate-and-test algorithm: it generates a candidate sequence randomly and tests whether the sequence satisfies the constraints. The novelty of our algorithm is that the filtering method uses a greedy search to calculate ΔG_min. This effectively excludes inappropriate sequences before ΔG_min is calculated, thereby reducing computation time drastically when compared with an algorithm without the filtering. Experimental results in silico showed the superiority of the greedy search over the traditional approach based on the hamming distance. In addition, experimental results in vitro demonstrated that the experimental free energy (ΔG_exp) of 126 sequences correlated well with ΔG_min (|R| = 0.90) than with the hamming distance (|R| = 0.80). These results validate the rationality of a thermodynamic approach. We implemented our algorithm in a graphic user interface-based program written in Java.     

DNA polymerase δ mediates increase in exchange production by X-radiation in human lymphocytes moving from G0 to G1

Earlier work of several laboratories established that the yields of radiation-induced ring and dicentric chromosomes are greater when human peripheral blood lymphocytes are irradiated in GH₁ some hours after phytohemagglutinin stimulation than if they are irradiated in G₀ before stimulation. Post-treatment of lymphocytes irradiated in G₀ with the DNA polymerase inhibitor aphidicolin, which is effective against both pol α and pol δ, produces a similar increase in ring and dicentric yield. We found that aphidicolin post-treatment was much less effective in increasing ring and dicentric yield increases in cells irradiated in G₁ four to five hours after stimulation. Because we had earlier found specific inhibitors of DNA pol α ineffective in producing increased yields in either G₀ or G₁ lymphocytes, we conclude that much of the G₀ to G₁ increase in yields is mediated by pol δ.     

Circadian rhythms of DNA synthesis in nasopharyngeal carcinoma cells

Nasopharyngeal carcinoma (NPC) occurs frequently in southern China. The circadian rhythm of DNA synthesis of a poorly differentiated NPC human cell line (CNE2) was investigated as an experimental prerequisite for designing chrono-chemotherapy schedules for patients with this disease. Twenty-two nude mice with BALB/c background were synchronized alternatively in 12 h of light and 12 h of darkness (LD12:12) for at least 3 wk prior to the transplantation of a CNE2 tumor fragment into each flank (area of ～2×2 mm²). Ten days later, a tumor sample (area of ～5 mm²) was obtained at 3, 9, 15, and 21 h after light onset (HALO) alternatively from different sites in each mouse. Single-cell suspensions were prepared and stained with propidium iodide. Cellular DNA content was measured with flow cytometry. Data were analyzed by ANOVA and cosinor methods. The average proportion of tumor cells in G₁, S or G₂-M phase varied according to circadian time with statistical significance. The maximum occurred at 9 HALO for G1, 2 HALO for S and 21 HALO for G₂-M phase cells. The approximate average distribution patterns of G₁ and G₂-M phases of cosine curve was 24 h. This was not the case for S-phase cells, which displayed a bimodal temporal pattern. Inter-individual variability in peak time was large, possibly due to relatively sparse sampling time. Nevertheless, no more than 6% of the time series displayed a maximum at 3 HALO for G₁, 21 HALO for S and 15 HALO for G₂-M. The cell cycle distribution of this human NPC cell line displayed circadian regulation following implantation into nude mice. The mechanisms involved in this rhythm and its relevance to the chrono-chemotherapy of patients deserve further investigation.     

Unusual behavior exhibited by multistranded guanine-rich DNA complexes

The structural properties of oligonucleotides containing two different types of G-rich sequences at the 3′-ends were compared. It is shown that oligonucleotides with uninterrupted runs of guanine residues at the 3′-end, e.g., d(T₁₅G₁₂), form multistranded structures stabilized by guanine-guanine interactions. The chemical and physical properties of these complexes differ from those of the complexes formed by oligonucleotides with telomere-like sequences, e.g., d(T₁₅G₄T₂G₄). In methylation protection and methylation interference experiments, we found all the guanines in complexes formed by d(T₁₅G₁₅) and d(T₁₅G₁₂) to be accessible to methylation. Furthermore, the methylated monomers retain the ability to polymerize. This contrasts with the inaccessibility of the guanines in d(T₁₅G₄T₂G₄) to methylation and the inability of the methylated monomer to form supramolecular structures. The stoichiometry of the complexes arising from the two types of oligonucleotides also differs. The complexes formed by d(T₁₅G₁₅) consist of consecutive integer numbers of DNA strands, whereas complexes formed by telomere-like oligonucleotides contain 1, 2, 4, or multiples of four strands. Magnesium ions favor formation of high molecular weight complexes by d(T₁₅G₁₅) and d(T₁₅G₁₂), but not by d(T₁₅G₄T₂G₄). The d(T₁₅G₁₅) and d(T₁₅G₁₂) complexes have very high thermal stability compared with telomeric complexes. However, at low temperatures, the thymine bases within the telomeric motif, TTGGGGTTGGGG, appear to allow for the formation of stable high-molecular weight species with a longer nonguanine portion. © 1998 John Wiley & Sons, Inc. Biopoly 45: 427–434, 1998     

Crystal Structure of d(gcGXGAgc) with X = G: a Mutation at X is Possible to Occur in a Base-Intercalated Duplex for Multiplex Formation

DNA fragments with the sequences d(gcGX[Y]_n Agc) (n = 1, X = A, and Y = A, T, or G) form base-intercalated duplexes, which is a basic unit for formation of multiplexes such as octaplex and hexaplex. To examine the stability of multiplexes, a DNA with X = Y = G and n = 1 was crystallized under conditions different from those of the previously determined sequences, and its crystal structure has been determined. The two strands are coupled in an anti-parallel fashion to form a base-intercalated duplex, in which the first and second residues form Watson-Crick type G:C pairs and the third and sixth residues form a sheared G:A pairs at both ends of the duplex. The G₄ and G₅ bases are stacked alternatively on those of the counter strand to form a long G column of G₃-G₄-G₅*-G₅-G₄*-G₃*, the central four Gs being protruded. In addition, the three duplexes are associated to form a hexaplex around a mixture of calcium and sodium cations on the crystallographic threefold axis. These structural features are similar to those of the previous crystals, though slightly different in detail. The present study indicates that mutation at the 4th position is possible to occur in a base-intercalated duplex for multiplex formations, suggesting that DNA fragments with any sequence sandwiched between the two triplets gcG and Agc can form a multiplex.     

In vitro DNA synthesis as indicator of mammary epithelial cell division: [14C]thymidine uptake versus flow cytometry cell cycle analysis

Summary Mammary and adipose explants from eight mid-lactation Holstein cows were co-cultured for 24 h in the presence or absence of liver explants, 1 μg/ml pituitary bovine somatotrophin, or 100 ng/ml insulinlike growth factor-I. Liver explants in the media significantly depressed DNA and protein synthesis by mammary tissue as measured by [¹⁴C]-thymidine and amino acid incorporation. As measured by flow cytometry, the concentration of DNA in the G₀G₁ and G₂M cells and the percentage of cells in the G₀G₁ population of mammary tissue was also significantly depressed by liver tissue. Changes in the percentage of cells in the S and G₂M phases were not significant. Insulinlike growth factor-I in the presence of liver explants depressed protein synthesis, thymidine incorporation, and the concentration of DNA in the G₀G₁ and G₂M cells compared to control but did not affect the percentage of cells in the G₀G₁, S, or G₂M phases. Previously it was assumed that changes in [¹⁴C]thymidine incorporation indicated that changes in cell division were occurring. Flow cytometry revealed that changes in DNA content of mammary cells as a result of liver or hormonal stimulation were not due to changes in cell division. Indications are that differences in cellular DNA content result from changes in the rate of amplification of individual genes responsible for milk protein synthesis.     

Distinct Role of Pyk2 in Mediating Thromboxane Generation Downstream of Both G12/13 and Integrin αIIbβ3 in Platelets

Proline-rich tyrosine kinase 2 (Pyk2) is activated by various agonists in platelets. We evaluated the signaling mechanism and the functional role of Pyk2 in platelets by using pharmacological inhibitors and Pyk2-deficient platelets. We found that platelet aggregation and secretion in response to 2-methylthio-ADP (2-MeSADP) and AYPGKF were diminished in the presence of Pyk2 inhibitors or in Pyk2-deficient platelets, suggesting that Pyk2 plays a positive regulatory role in platelet functional responses. It has been shown that ADP-, but not thrombin-induced thromboxane (TxA₂) generation depends on integrin signaling. Unlike ADP, thrombin activates G_12/13 pathways, and G_12/13 pathways can substitute for integrin signaling for TxA₂ generation. We found that Pyk2 was activated downstream of both G_12/13 and integrin-mediated pathways, and both 2-MeSADP- and AYPGKF-induced TxA₂ generation was significantly diminished in Pyk2-deficient platelets. In addition, TxA₂ generation induced by co-stimulation of G_i and G_z pathways, which is dependent on integrin signaling, was inhibited by blocking Pyk2. Furthermore, inhibition of 2-MeSADP-induced TxA₂ generation by fibrinogen receptor antagonist was not rescued by co-stimulation of G_12/13 pathways in the presence of Pyk2 inhibitor. We conclude that Pyk2 is a common signaling effector downstream of both G_12/13 and integrin αIIbβ3 signaling, which contributes to thromboxane generation.     

Large T Antigen Promotes JC Virus Replication in G2-arrested Cells by Inducing ATM- and ATR-mediated G2 Checkpoint Signaling

Large T antigen (TAg) of the human polyomavirus JC virus (JCV) possesses DNA binding and helicase activities, which, together with various cellular proteins, are required for replication of the viral genome. We now show that JCV-infected cells expressing TAg accumulate in the G₂ phase of the cell cycle as a result of the activation of ATM- and ATR-mediated G₂ checkpoint pathways. Transient transfection of cells with a TAg expression vector also induced G₂ checkpoint signaling and G₂ arrest. Analysis of TAg mutants with different subnuclear localizations suggested that the association of TAg with cellular DNA contributes to the induction of G₂ arrest. Abrogation of G₂ arrest by inhibition of ATM and ATR, Chk1, and Wee1 suppressed JCV genome replication. In addition, abrogation of the G₂-M transition by Cdc2 depletion disabled Wee1 depletion-induced suppression of JCV genome replication, suggesting that JCV replication is facilitated by G₂ arrest resulting from G₂ checkpoint signaling. Moreover, inhibition of ATM and ATR by caffeine suppressed JCV production. The observation that oligodendrocytes productively infected with JCV in vivo also undergo G₂ arrest suggests that G₂ checkpoint inhibitors such as caffeine are potential therapeutic agents for JCV infection.     

Error analysis in flow microfluorometry

Sources of error in a typical algorithm for the analysis of single flow-microfluorometric histograms are identified. A new statistical model for such data is presented, by means of which the error sources are quantitatively investigated. These theoretical investigations lead to three practical observations: A more detailed characterization of the fluorescence dispersion process is needed for a more refined algorithm. Levels of dispersion typically experienced are such that from a single histogram the distribution of cells within S-phase cannot be finely resolved; but the crude distribution of cells among the three phases G₁, S, and G₂-M may be accurately estimated. If currently typical levels of dispersion can be halved, then the S-phase distribution can be finely resolved.     

Relationship between excision repair and the cytotoxic and mutagenic effect of the ‘anti’ 7,8-diol-9,10-epoxide of benzo[a]pyrene in human cells

The cytotoxic and mutagenic effect of (±)-7β,8α-dihydroxy-9α,10α-epoxy-7,8,9,10-tetrahydrobenzo[a]pyrene (anti BPDE) in normally excision diploid human cells treated just prior to onset of S was compared with that of cells allowed ～ 16 h for excision repair before onset of S and with that observed in excision-deficient serodema pigmentosum (SP12BE) cells. The cells were synchronized by release from density inhibition of cell replication. DNA synthesis began ～ 22 h after the cells were plated at lower density (i.e., 1.4 × 10⁴ cells/cm²). The frequency of thioguanine-resistant mutants induced in normal cells treated just prior to onset of S was ～ 12- to 16-fold higher than that observed in cells treated in early G₁ or treated in G₀ (confluence) and then plated at lower density. The frequency approximated that expected for XP12BE cells from extrapolation of data obtained at lower doses. The frequency of mutants measured in normal cells treated in exponential growth was also much higher than that in the cells treated in early G₁ or in G₀, No such difference could be seen in XP12BE cells treated in exponential growth or in G₀. In contrast to the mutagenicity data in the normal cells, there was no significant difference in the slope of the survival curve of normal cells treated at various times prior to S phase at low densities. However, normal cells treated even at the onset of S exhibited survival equal to XP12BE cells give a 4- to 5-fold lower dose. The data support the hypothesis that DNA synthesis is the cellular event which converts unexcised DNA lesions into mutations. However, they indicate that S is not the event primarily responsible for translating DNA damage into cell death. Accompanying studies on the rate of excision of anti BPDE adducts from the normal cells during the period priot to S support the conclusions.     

Microspectrophotometric measurements of DNA by automated computerized scanning in cycling cells of theChrysanthemum segetum shoot apex

Summary A new technique of exploitation of the data was proposed after DNA scanning microdensitometry. By using all of the measurements obtained from the seriated sections of a single nucleus, this method made it possible to estimate six characteristic parameters during the different phases of the cell cycle in the various shoot apical cells. The cells whose rate of proliferation was the highest showed the biggest variations of their nuclear and nucleolar volumes during the cell cycle. In the axial zone, where the cells have a slow cell cycle and display the longest duration of the G₁ phase, the volume occupied by dispersed DNA was greater than in the cells of the lateral zone and of the rib meristem, where the cell cycle and the G₁ phase were short. No matter what the cell type, the proportion of the dispersed and condensed DNA varied little when the G₁ and G₂ phases were compared. In the Z phase, characterized by a decondensation of the DNA, the mean DNA amount was 3.4 C. The evolution of the nuclear density during the interphase was also estimated. It is demonstrated that the main feature of the shoot apex zonation was the decondensation of the condensed DNA in the axial zone in both the G₁ and G₂ phases.     

Cytophotometric analysis of glycogen,protein and DNA of a glycogen-storing rat hepatoma (N13) cell line

This study examines the behavior of glycogenstoring rat hepatoma (N13) in vitro using cytophotometric techniques. A significant increase in glycogen is observed in these cells after 30 min incubation in a buffered solution containing 0.1 mM glucose, that is 80 times lower than the physiological glucose concentration in rat blood. N13 hepatoma cells grow exponentially in culture using RPMI 1640 tissue culture medium supplemented with 10% fetal bovine serum. During the first day in culture these cells store a large amount of glycogen and this increase is also observed in serum-free cultures. In more prolonged cultures the amount of glycogen per cell gradually becomes lower, although the culturing conditions are maintained. Similar variations of protein are also observed during the initial period of culture. DNA distribution does not show significant changes, although in serum-free cultures an increase in the proportion of cells in S and G₂/M phases is observed. The addition of glucagon, epinephrine and cyclic AMP derivatives to serum-free cultures does not impede the storage of glycogen. Nevertheless, addition of either 2 mM N⁶,O²-dibutyryl cyclic AMP or 0.1 mM 8-(4-chlorophenylthio)-cyclic AMP blocks the cell cycle at G₀/G₁ and glycogen content does not decrease after the first day in culture. We believe that this cell line offers an appropriated model to study glycogen metabolism and its involvement in the neoplastic process.     

Overcoming hysteresis to attain reversible equilibrium folding for outer membrane phospholipase A in phospholipid bilayers

The free energy of unfolding of a membrane protein from lipids into water (ΔG^o_w,l) describes its equilibrium thermodynamic stability. Knowing this parameter gives insight into a membrane protein's sequence-structure-energy relationships. However, there are few measures of membrane protein stability because of the technical difficulties associated with unfolded and partially folded states. Here, we describe the experimental process that allowed us to measure the ΔG^o_w,l of the outer membrane phospholipase A into large unilamellar vesicles (LUVs) of 1,2-dilauroyl-sn-glycero-3-phosphocholine. To arrive at this reversible folding condition, we screened a large number of experimental variables: temperature, incubation time, salt concentration, pH, lipid composition and liposome morphology. The principal challenge we encountered under most conditions was hysteresis between folding and unfolding titrations. A second factor that compromised reversible folding was the observation that a fraction of the protein population tended to aggregate. We found that hysteresis could be completely eliminated on a feasible timescale by conducting experiments at acidic pH, by the slow dilution of the protein in the initial titration setup and by utilizing a low concentration of a detergent as a temporary “holdase” to solubilize the protein upon its initial dilution into folding conditions. We confirmed that the detergent did not disrupt the LUVs using fluorescence emission of lipid-sensitive dyes and light scattering. The results of our parameter search should be generally useful for efforts to measure ΔG^o_w,l for other membrane proteins.     

Influence of 3HTdR on the circadian rhythm—a model analysis for mouse epidermis

A mathematical model for the normal circadian rhythm in epidermis is formulated. It reproduces the experimental data for mice if the duration of either the G₁ or the S phase oscillates. As a second step, the model is generalized to account for the influence of ³HTdR on the circadian rhythm. A simultaneous interpretation of experimental curves for LI, PLM, the mitotic rate (MR) and the phase indices G₁I, SI, G₂I and MI measured by micro-spectrophotometry or flow cytometry, can be given by the following hypothesis. (a) Of the S phase cells (as measured by DNA content), only the most mature fraction is labelled. Some of these labelled cells die (or loose their label) within a few hours. The free label is then reutilized. (b) For about 12 hr the flux of unlabelled cells from G₁ into S phase is accelerated. These cells stay correspondingly longer in S so that their cell cycle time is scarcely affected. (c) The normal circadian triggering is disturbed for at least 36 hr after labelling. The implications of this hypothesis for double labelling experiments are discussed.     

Dovitinib induces mitotic defects and activates the G2 DNA damage checkpoint

Dovitinib (TKI258; formerly CHIR‐258) is an orally bioavailable inhibitor of multiple receptor tyrosine kinases. Interestingly, Dovitinib triggered a G₂/M arrest in cancer cell lines from diverse origins including HeLa, nasopharyngeal carcinoma, and hepatocellular carcinoma. Single‐cell analysis revealed that Dovitinib promoted a delay in mitotic exit in a subset of cells, causing the cells to undergo mitotic slippage. Higher concentrations of Dovitinib induced a G₂ arrest similar to the G₂ DNA damage checkpoint. In support of this, DNA damage was triggered by Dovitinib as revealed by γ‐H2AX and comet assays. The mitotic kinase CDK1 was found to be inactivated by phosphorylation in the presence of Dovitinib. Furthermore, the G₂ arrest could be overcome by abrogation of the G₂ DNA damage checkpoint using small molecule inhibitors of CHK1 and WEE1. Finally, Dovitinib‐mediated G₂ cell cycle arrest and subsequent cell death could be promoted after DNA damage repair was disrupted by inhibitors of poly(ADP‐ribose) polymerases. These results are consistent with the recent finding that Dovitinib can also target topoisomerases. Collectively, these results suggest additional directions for use of Dovitinib, in particular with agents that target the DNA damage checkpoint.     

Natural hybridization of Yezo and Sakhalin spruce in central Hokkaido,revealed by DNA markers with contrasting modes of inheritance

Yezo spruce (Picea jezoensis var. jezoensis) and Sakhalin spruce (Picea glehnii) occur across Hokkaido and co‐occur in some forest habitats. This leads to the potential for natural hybridization between these two species, which has been shown to occur at low frequencies. The purpose of this study was to identify these hybrids and their possible mating patterns, using various Pinaceae DNA markers with different modes of inheritance. The markers used were maternally inherited mitochondrial DNA (mtDNA), paternally inherited chloroplast DNA (cpDNA) and biparentally inherited nuclear microsatellites (nSSRs). Seven putative natural hybrids, four artificially‐crossed F₁ hybrids, four parent plants from each species, and two artificially‐backcrossed hybrids of putative natural hybrids and their parents were analyzed using the diagnostic DNA markers developed in this study. We found Yezo spruce and Sakhalin spruce to be distinct (J and G types, respectively), and the modes of inheritance held true for the two species, as was previously reported to be the case in Pinaceae. Four of the seven putative natural hybrids harbored J‐type cpDNA, G‐type mtDNA and J/G‐type nSSRs, indicating that natural F₁ hybrids are likely to arise from a G (female) × J (male) crossing. One natural hybrid harbored G‐type cpDNA, J‐type mtDNA and J/G‐type nSSRs, which implies that hybrids produced by J (female) × G (male) crossings occur at low frequencies. The two remaining hybrids harbored J‐type cpDNA and mtDNA with either J/G or J/J‐type nSSRs, suggesting that they may be F₂ hybrids resulting from backcrossing between an F₁ hybrid and a Yezo spruce.     

Cutting edge: Chk1 directs senescence and mitotic catastrophe in recovery from G2 checkpoint arrest

Besides the well‐understood DNA damage response via establishment of G₂ checkpoint arrest, novel studies focus on the recovery from arrest by checkpoint override to monitor cell cycle re‐entry. The aim of this study was to investigate the role of Chk1 in the recovery from G₂ checkpoint arrest in HCT116 (human colorectal cancer) wt, p53^–/– and p21^–/– cell lines following H₂O₂ treatment. Firstly, DNA damage caused G₂ checkpoint activation via Chk1. Secondly, overriding G₂ checkpoint led to (i) mitotic slippage, cell cycle re‐entry in G₁ and subsequent G₁ arrest associated with senescence or (ii) premature mitotic entry in the absence of p53/p21^WAF1 causing mitotic catastrophe. We revealed subtle differences in the initial Chk1‐involved G₂ arrest with respect to p53/p21^WAF1: absence of either protein led to late G₂ arrest instead of the classic G₂ arrest during checkpoint initiation, and this impacted the release back into the cell cycle. Thus, G₂ arrest correlated with downstream senescence, but late G₂ arrest led to mitotic catastrophe, although both cell cycle re‐entries were linked to upstream Chk1 signalling. Chk1 knockdown deciphered that Chk1 defines long‐term DNA damage responses causing cell cycle re‐entry. We propose that recovery from oxidative DNA damage‐induced G₂ arrest requires Chk1. It works as cutting edge and navigates cells to senescence or mitotic catastrophe. The decision, however, seems to depend on p53/p21^WAF1. The general relevance of Chk1 as an important determinant of recovery from G₂ checkpoint arrest was verified in HT29 colorectal cancer cells.     

Energetics of superhelicity and of B-Z transitions in superhelical DNA

The linking difference, α, imposed upon a superhelically constrained DNA molecule must be partitioned between twisting and bending deformations. Transitions to alternative secondary structures can occur at susceptible sites, altering the local molecular twist by an amount ΔTw _trans. That part of the linking difference not accommodated in this way, the residual linking difference α_res, must be manifested as smooth torsional and flexural deformations of secondary structure. The competition among the alternative ways of accommodating the imposed linking difference α determines a stressed equilibrium state. The superhelical free energy,G(α), is the excess free energy of the equilibrium state at linking difference α above that of the relaxed state under identical conditions. In this paper a method is described by which the free energies associated both to linking,G(α), and to residual linking differences can be determined from data on superhelical conformational transitions. The application of this approach to previously published experimental data on the B-Z transition suggests that the free energy associated with α_res is about 30% larger at substantial superhelicities than it is near the relaxed state. At the onset of transition the functional form ofG(α) is shown to change in a manner dependent upon the length of the Z-susceptible site.