Period-Amplitude Co-variation in Biomolecular Oscillators

The period and amplitude of biomolecular oscillators are functionally important properties in multiple contexts. For a biomolecular oscillator, the overall constraints in how tuning of amplitude affects period, and vice versa, are generally unclear. Here we investigate this co-variation of the period and amplitude in mathematical models of biomolecular oscillators using both simulations and analytical approximations. We computed the amplitude-period co-variation of eleven benchmark biomolecular oscillators as their parameters were individually varied around a nominal value, classifying the various co-variation patterns such as a simultaneous increase/ decrease in period and amplitude. Next, we repeated the classification using a power norm-based amplitude metric, to account for the amplitudes of the many biomolecular species that may be part of the oscillations, finding largely similar trends. Finally, we calculate "scaling laws" of period-amplitude co-variation for a subset of these benchmark oscillators finding that as the approximated period increases, the upper bound of the amplitude increases, or reaches a constant value. Based on these results, we discuss the effect of different parameters on the type of period-amplitude co-variation as well as the difficulty in achieving an oscillation with large amplitude and small period

Superacid mediated intramolecular condensation: facile synthesis of indenones and indanones

Superacid promoted intramolecular acylation is described for the synthesis of indenones.</p

A highly electropositive ReS₂ based ultra-sensitive flexible humidity sensor for multifunctional applications

Flexible 2D ReS2 based humidity sensor for multifunctional applications.</p

Activation of <i>o</i>‑Propargyl Alcohol Benzaldehydes under Acetalization Conditions for Intramolecular Electrophile Intercepted Meyer–Schuster Rearrangement

The reactivity of o-propargyl alcohol benzaldehydes has been increased tremendously toward Brønsted acid-catalyzed intramolecular electrophile intercepted Meyer–Schuster (M–S) rearrangement under acetalization conditions using trimethyl orthoformate (TMOF). The in situ formed acetal transfers the methoxy group intramolecularly to generate the M–S intermediate in even less reactive substrates, and the formed oxocarbenium ion makes the carbonyl more electrophilic for an effective intramolecular trapping of the M–S intermediate to furnish the indanone derivatives

A Domino Palladium-Catalyzed C–C and C–O Bonds Formation via Dual O–H Bond Activation: Synthesis of 6,6-Dialkyl-6<i>H</i>-benzo[<i>c</i>]chromenes

An efficient Pd-catalyzed domino reaction of α,α-dialkyl-(2-bromoaryl)methanols to 6,6-dialkyl-6<i>H</i>-benzo[<i>c</i>]chromenes is presented. Their formation can be explained via a five membered Pd(II)-cycle that efficiently involves a domino homocoupling with the second molecule, β-carbon cleavage, and finally intramolecular Buchwald–Hartwig cyclization. This domino process effectively involves breaking of five σ-bonds (2C–Br, 2O–H, and a C–C) and formation of two new σ-bonds (C–C and C–O). This mechanistic pathway is unprecedented and further illustrates the power of transition metal catalysis

A Domino Palladium-Catalyzed C–C and C–O Bonds Formation via Dual O–H Bond Activation: Synthesis of 6,6-Dialkyl-6<i>H</i>-benzo[<i>c</i>]chromenes

An efficient Pd-catalyzed domino reaction of α,α-dialkyl-(2-bromoaryl)methanols to 6,6-dialkyl-6<i>H</i>-benzo[<i>c</i>]chromenes is presented. Their formation can be explained via a five membered Pd(II)-cycle that efficiently involves a domino homocoupling with the second molecule, β-carbon cleavage, and finally intramolecular Buchwald–Hartwig cyclization. This domino process effectively involves breaking of five σ-bonds (2C–Br, 2O–H, and a C–C) and formation of two new σ-bonds (C–C and C–O). This mechanistic pathway is unprecedented and further illustrates the power of transition metal catalysis