A theory for controlling cell cycle dynamics using a reversibly binding inhibitor

We demonstrate, by using mathematical modeling of cell division cycle (CDC) dynamics, a potential mechanism for precisely controlling the frequency of cell division and regulating the size of a dividing cell. Control of the cell cycle is achieved by artificially expressing a protein that reversibly binds and inactivates any one of the CDC proteins. In the simplest case, such as the checkpoint-free situation encountered in early amphibian embryos, the frequency of CDC oscillations can be increased or decreased by regulating the rate of synthesis, the binding rate, or the equilibrium constant of the binding protein. In a more complex model of cell division, where size-control checkpoints are included, we show that the same reversible binding reaction can alter the mean cell mass in a continuously dividing cell. Because this control scheme is general and requires only the expression of a single protein, it provides a practical means for tuning the characteristics of the cell cycle in vivo.

Fluorescence correlation spectroscopy reveals fast optical excitation-driven intramolecular dynamics of yellow fluorescent proteins

Fast excitation-driven fluctuations in the fluorescence emission of yellow-shifted green fluorescent protein mutants T203Y and T203F, with S65G/S72A, are discovered in the 10−6–10−3-s time range, by using fluorescence correlation spectroscopy at 10−8 M. This intensity-dependent flickering is conspicuous at high pH, with rate constants independent of pH and viscosity with a minor temperature effect. The mean flicker rate increases linearly with excitation intensity for at least three decades, but the mean dark fraction of the molecules undergoing these dynamics is independent of illumination intensity over ≈6 × 102 to 5 × 106 W/cm2. These results suggest that optical excitation establishes an equilibration between two molecular states of different spectroscopic properties that are coupled only via the excited state as a gateway. This reversible excitation-driven transition has a quantum efficiency of ≈10−3. Dynamics of external protonation, reversibly quenching the fluorescence, are also observed at low pH in the 10- to 100-μs time range. The independence of these two bright–dark flicker processes implies the existence of at least two separate dark states of these green fluorescent protein mutants. Time-resolved fluorescence measurements reveal a single exponential decay of the excited state population with 3.8-ns lifetime, after 500-nm excitation, that is pH independent. Our fluorescence correlation spectroscopy results are discussed in terms of recent theoretical studies that invoke isomerization of the chromophore as a nonradiative channel of the excited state relaxation.

Stretching single-domain proteins: Phase diagram and kinetics of force-induced unfolding

Single-molecule force spectroscopy reveals unfolding of domains in titin on stretching. We provide a theoretical framework for these experiments by computing the phase diagrams for force-induced unfolding of single-domain proteins using lattice models. The results show that two-state folders (at zero force) unravel cooperatively, whereas stretching of non-two-state folders occurs through intermediates. The stretching rates of individual molecules show great variations reflecting the heterogeneity of force-induced unfolding pathways. The approach to the stretched state occurs in a stepwise “quantized” manner. Unfolding dynamics and forces required to stretch proteins depend sensitively on topology. The unfolding rates increase exponentially with force f till an optimum value, which is determined by the barrier to unfolding when f = 0. A mapping of these results to proteins shows qualitative agreement with force-induced unfolding of Ig-like domains in titin. We show that single-molecule force spectroscopy can be used to map the folding free energy landscape of proteins in the absence of denaturants.

Modeling the dynamics of human hair cycles by a follicular automaton

The hair follicle cycle successively goes through the anagen, catagen, telogen, and latency phases, which correspond, respectively, to hair growth, arrest, shedding, and absence before a new anagen phase is initiated. Experimental observations collected over a period of 14 years in a group of 10 male volunteers, alopecic and nonalopecic, allowed us to determine the characteristics of scalp hair follicle cycles. On the basis of these observations, we propose a follicular automaton model to simulate the dynamics of human hair cycles. The automaton model is defined by a set of rules that govern the stochastic transitions of each follicle between the successive states anagen, telogen, and latency, and the subsequent return to anagen. The transitions occur independently for each follicle, after time intervals given stochastically by a distribution characterized by a mean and a variance. The follicular automaton model accounts both for the dynamical transitions observed in a single follicle and for the behavior of an ensemble of independently cycling follicles. Thus, the model successfully reproduces the evolution of the fractions of follicle populations in each of the three phases, which fluctuate around steady-state or slowly drifting values. We apply the follicular automaton model to the study of spatial patterns of follicular growth that result from a spatially heterogeneous distribution of parameters such as the mean duration of anagen phase. When considering that follicles die or miniaturize after going through a critical number of successive cycles, the model can reproduce the evolution to hair patterns similar to well known types of diffuse or androgenetic alopecia.

Temporal dynamics of verbal object comprehension

Knowledge of the stage composition and the temporal dynamics of human cognitive operations is critical for building theories of higher mental activity. This information has been difficult to acquire, even with different combinations of techniques such as refined behavioral testing, electrical recording/interference, and metabolic imaging studies. Verbal object comprehension was studied herein in a single individual, by using three tasks (object naming, auditory word comprehension, and visual word comprehension), two languages (English and Farsi), and four techniques (stimulus manipulation, direct cortical electrical interference, electrocorticography, and a variation of the technique of direct cortical electrical interference to produce time-delimited effects, called timeslicing), in a subject in whom indwelling subdural electrode arrays had been placed for clinical purposes. Electrical interference at a pair of electrodes on the left lateral occipitotemporal gyrus interfered with naming in both languages and with comprehension in the language tested (English). The naming and comprehension deficit resulted from interference with processing of verbal object meaning. Electrocorticography indices of cortical activation at this site during naming started 250–300 msec after visual stimulus presentation. By using the timeslicing technique, which varies the onset of electrical interference relative to the behavioral task, we found that completion of processing for verbal object meaning varied from 450 to 750 msec after current onset. This variability was found to be a function of the subject’s familiarity with the objects.

Spatiotemporal dynamics of guanosine 3′,5′-cyclic monophosphate revealed by a genetically encoded, fluorescent indicator

To investigate the dynamics of guanosine 3′,5′-cyclic monophosphate (cGMP) in single living cells, we constructed genetically encoded, fluorescent cGMP indicators by bracketing cGMP-dependent protein kinase (cGPK), minus residues 1–77, between cyan and yellow mutants of green fluorescent protein. cGMP decreased fluorescence resonance energy transfer (FRET) and increased the ratio of cyan to yellow emissions by up to 1.5-fold with apparent dissociation constants of ≈2 μM and >100:1 selectivity for cGMP over cAMP. To eliminate constitutive kinase activity, Thr516 of cGPK was mutated to Ala. Emission ratio imaging of the indicators transfected into rat fetal lung fibroblast (RFL)-6 showed cGMP transients resulting from activation of soluble and particulate guanylyl cyclase, respectively, by nitric oxide (NO) and C-type natriuretic peptide (CNP). Whereas all naive cells tested responded to CNP, only 68% responded to NO. Both sets of signals showed large and variable (0.5–4 min) latencies. The phosphodiesterase (PDE) inhibitor 3-isobutyl-1-methylxanthine (IBMX) did not elevate cGMP on its own but consistently amplified responses to NO or CNP, suggesting that basal activity of guanylate cyclase is very low and emphasizing the importance of PDEs in cGMP recycling. A fraction of RFL cells showed slowly propagating tides of cGMP spreading across the cell in response to delocalized application of NO. Biolistically transfected Purkinje neurons showed cGMP responses to parallel fiber activity and NO donors, confirming that single-cell increases in cGMP occur under conditions appropriate to cause synaptic plasticity.

Dynamics of mobile element activity in chalcone synthase loci in the common morning glory (Ipomoea purpurea)

Mobile element dynamics in seven alleles of the chalcone synthase D locus (CHS-D) of the common morning glory (Ipomoea purpurea) are analyzed in the context of synonymous nucleotide sequence distances for CHS-D exons. By using a nucleotide sequence of CHS-D from the sister species Ipomoea nil (Japanese morning glory [Johzuka-Hisatomi, Y., Hoshino, A., Mori, T., Habu, Y. & Iida, S. (1999) Genes Genet. Syst. 74, 141–147], it is also possible to determine the relative frequency of insertion and loss of elements within the CHS-D locus between these two species. At least four different types of transposable elements exist upstream of the coding region, or within the single intron of the CHS-D locus in I. purpurea. There are three distinct families of miniature inverted-repeat transposable elements (MITES), and some recent transpositions of Activator/Dissociation (Ac/Ds)-like elements (Tip100), of some short interspersed repetitive elements (SINEs), and of an insertion sequence (InsIpCHSD) found in the neighborhood of this locus. The data provide no compelling evidence of the transposition of the mites since the separation of I. nil and I. purpurea roughly 8 million years ago. Finally, it is shown that the number and frequency of mobile elements are highly heterogeneous among different duplicate CHS loci, suggesting that the dynamics observed at CHS-D are locus-specific.

Functional dynamics in the active site of the ribonuclease binase

Binase, a member of a family of microbial guanyl-specific ribonucleases, catalyzes the endonucleotic cleavage of single-stranded RNA. It shares 82% amino acid identity with the well-studied protein barnase. We used NMR spectroscopy to study the millisecond dynamics of this small enzyme, using several methods including the measurement of residual dipolar couplings in solution. Our data show that the active site of binase is flanked by loops that are flexible at the 300-μs time scale. One of the catalytic residues, His-101, is located on such a flexible loop. In contrast, the other catalytic residue, Glu-72, is located on a β-sheet, and is static. The residues Phe-55, part of the guanine base recognition site, and Tyr-102, stabilizing the base, are the most dynamic. Our findings suggest that binase possesses an active site that has a well-defined bottom, but which has sides that are flexible to facilitate substrate access/egress, and to deliver one of the catalytic residues. The motion in these loops does not change on complexation with the inhibitor d(CGAG) and compares well with the maximum kcat (1,500 s−1) of these ribonucleases. This observation indicates that the NMR-measured loop motions reflect the opening necessary for product release, which is apparently rate limiting for the overall turnover.

Configurational diffusion down a folding funnel describes the dynamics of DNA hairpins

Elucidating the mechanism of folding of polynucleotides depends on accurate estimates of free energy surfaces and a quantitative description of the kinetics of structure formation. Here, the kinetics of hairpin formation in single-stranded DNA are measured after a laser temperature jump. The kinetics are modeled as configurational diffusion on a free energy surface obtained from a statistical mechanical description of equilibrium melting profiles. The effective diffusion coefficient is found to be strongly temperature-dependent in the nucleation step as a result of formation of misfolded loops that do not lead to subsequent zipping. This simple system exhibits many of the features predicted from theoretical studies of protein folding, including a funnel-like energy surface with many folding pathways, trapping in misfolded conformations, and non-Arrhenius folding rates.

Probing the interaction between two single molecules: fluorescence resonance energy transfer between a single donor and a single acceptor.

We extend the sensitivity of fluorescence resonance energy transfer (FRET) to the single molecule level by measuring energy transfer between a single donor fluorophore and a single acceptor fluorophore. Near-field scanning optical microscopy (NSOM) is used to obtain simultaneous dual color images and emission spectra from donor and acceptor fluorophores linked by a short DNA molecule. Photodestruction dynamics of the donor or acceptor are used to determine the presence and efficiency of energy transfer. The classical equations used to measure energy transfer on ensembles of fluorophores are modified for single-molecule measurements. In contrast to ensemble measurements, dynamic events on a molecular scale are observable in single pair FRET measurements because they are not canceled out by random averaging. Monitoring conformational changes, such as rotations and distance changes on a nanometer scale, within single biological macromolecules, may be possible with single pair FRET.

Single cell Ca2+/cAMP cross-talk monitored by simultaneous Ca2+/cAMP fluorescence ratio imaging.

The spatial and temporal dynamics of two intracellular second messengers, cAMP and Ca2+, were simultaneously monitored in living cells by digital fluorescence ratio imaging using FlCRhR, a single-excitation dual-emission cAMP indicator, and fura-2, a dual-excitation single-emission Ca2+ probe. In single C6-2B glioma cells, isoproterenol- or forskolin-evoked cAMP accumulation (measured in vivo as an increased FlCRhR emission ratio) was reduced when cytosolic free Ca2+ concentration was elevated before, simultaneously with, or after cAMP activation. However, in REF-52 fibroblasts, Ca2+ neither prevented nor reduced forskolin-stimulated cAMP production. These results provide novel in vivo evidence for the Ca2+ modulation of the cAMP transduction pathway in C6-2B cells. The simultaneous microscopic measurement of cAMP and Ca2+ kinetics in single cells makes it now possible to study the regulatory interactions between these second messengers at the cellular and even the subcellular level.

Two types of calcium response limited to single spines in cerebellar Purkinje cells.

Of fundamental importance in understanding neuronal function is the unambiguous determination of the smallest unit of neuronal integration. It was recently suggested that a whole dendritic branchlet, including tens of spines, acts as the fundamental unit in terms of dendritic calcium dynamics in Purkinje cells. By contrast, we demonstrate that the smallest such unit is the single spine. The results show, by two-photon excited fluorescence laser scanning microscopy, that individual spines are capable of independent calcium activation. Moreover, two distinct spine populations were distinguished by their opposite response to membrane hyperpolarization. Indeed, in a subpopulation of spines calcium entry can also occur through a pathway other than voltage-gated channels. These findings challenge the assumption of a unique parallel fiber activation mode and prompt a reevaluation of the level of functional complexity ascribed to single neurons.

Modified PNA design and synthesis: a novel approach using Molecular Dynamics and Metadynamics

Gli acidi peptido nucleici sono potenti strumenti utilizzati in ambito biotecnologico per colpire DNA o RNA. PNA contenenti basi o backbone modificati sono attualmente studiati per migliorarne le proprietà in ambito biologico. Bersagliare i micro RNA (anti-miR) è particolarmente interessante nell’ottica di future applicazioni terapeutiche, ma strumenti computazionali che aiutino nel design di nuovi PNA anti-miR non sono stati ancora completamente sviluppati. Le proprietà conformazionali del singolo filamento di PNA (non modificato o recante modificazioni in γ) e dei duplex PNA:RNA e i processi di re-annealing e melting sono stati studiati tramite Dinamica Molecolare e Metadinamica. L’approccio computazionale consolidato, assieme a un programma modificato per la generazione delle strutture dei duplex contenenti PNA, è stato utilizzato per il virtual screening di PNA contenenti basi modificate. Sono state inoltre sintetizzate le unità per l’ottenimento del composto più promettente e una funzione idrolitica da legare al monomero finale.

Therapeutic Assessment for an individual with Binge Eating Disorder: A single-case time-series design .

Therapeutic Assessment (TA) is a treatment approach that combines psychological assessment and psychotherapy. The study examines the efficacy of this approach with an individual with Binge Eating Disorder. A replicated single-case time-series design with daily measures is used to assess the effects of TA and to track the process of change during the TA. The individual experienced inconclusive benefits after participation in TA. Significant change occurred in all variables measured, though none of the changes occurred in the hypothesized direction. Further research is needed to determine if TA is an effective treatment for individuals diagnosed with Binge Eating Disorder.

Optical probing of spin fluctuations of a single paramagnetic Mn atom in a semiconductor quantum dot

We analyzed the photoluminescence intermittency generated by a single paramagnetic spin localized in an individual semiconductor quantum dot. The statistics of the photons emitted by the quantum dot reflect the quantum fluctuations of the localized spin interacting with the injected carriers. Photon correlation measurements, which are reported here, reveal unique signatures of these fluctuations. A phenomenological model is proposed to quantitatively describe these observations, allowing a measurement of the spin dynamics of an individual magnetic atom at zero magnetic field. These results demonstrate the existence of an efficient spin-relaxation channel arising from a spin exchange with individual carriers surrounding the quantum dot. A theoretical description of a spin-flip mechanism involving spin exchange with surrounding carriers gives relaxation times in good agreement with the measured dynamics.