16 research outputs found
Local Uniqueness and Refined Spike Profiles of Ground States for Two-Dimensional Attractive Bose-Einstein Condensates
No full textClassification and nondegeneracy of SU(n+1) Toda system with singular sources
No full textInternational audienceWe consider the following Toda system\begin{align*}\Delta u_i + \displaystyle \sum_{j = 1}^n a_{ij}e^{u_j} = 4\pi\gamma_{i}\delta_{0} \;\; \text{in }\mathbb R^2, \quad\displaystyle \int_{\mathbb R^2}e^{u_i} dx -1\delta _00a_{ij}\gamma_i=0\forall \;1\leq i\leq n\gamma_i+\gamma_{i+1}+\ldots+\gamma_j \notin \mathbb Z1\leq i\leq j\leq nu_i0$.(iii) We prove that the linearized equation at any solution is \textit{non-degenerate}.These are fundamental results in order to understand the bubbling behaviour of the Toda system
A Diene‐Containing Noncanonical Amino Acid Enables Dual Functionality in Proteins: Rapid Diels–Alder Reaction with Maleimide or Proximity‐Based Dimerization
Full text linkHere, we describe a diene-containing noncanonical amino acid (ncAA) capable of undergoing fast and selective normal electron-demand Diels-Alder (DA) reactions following its incorporation into antibodies. A cyclopentadiene derivative of lysine (CpHK) served as the reactive handle for DA transformations and the substrate for genetic incorporation. CpHK incorporated into antibodies with high efficiency and was available for maleimide conjugation or self-reaction depending on position in the amino acid sequence. CpHK at position K274 reacted with the maleimide drug-linker AZ1508 at a rate of ≈79 m-1 s-1 to produce functional antibody-drug conjugates (ADCs) in a one-step process. Incorporation of CpHK at position S239 resulted in dimerization, which covalently linked antibody heavy chains together. The diene ncAA described here is capable of producing therapeutic protein conjugates with clinically validated and widely available maleimide compounds, while also enabling proximity-based stapling through a DA dimerization reaction
A Diene‐Containing Noncanonical Amino Acid Enables Dual Functionality in Proteins: Rapid Diels–Alder Reaction with Maleimide or Proximity‐Based Dimerization
No full textStraightforward Glycoengineering Approach to Site-Specific AntibodyPyrrolobenzodiazepine Conjugates
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