Direct Selection of Functional De Novo Macrocycles for Activation of On-Cellulo Insulin Receptor. [PDF]
Angew Chem Int Ed EnglA live‐cell screening platform, RaPID‐ExCells, integrates mRNA display‐derived macrocyclic peptide libraries with functional selection against native cell‐surface receptors. Application to the insulin receptor enabled de novo discovery of a macrocyclic agonist that activates endogenous signaling despite weak in vitro binding, highlighting the power of ...
Kuo YH, Mihara E, Takagi J, Suga H.
europepmc +3 more sources
Stability analysis and nonstandard Grünwald-Letnikov scheme for a fractional order predator-prey model with ratio-dependent functional response [PDF]
AIP Conference Proceedings, 2017 In this paper we discuss a fractional order predator-prey model with ratio-dependent functional response. The dynamical properties of this model is analyzed. Here we determine all equilibrium points of this model including their existence conditions and their stability properties.
Agus Suryanto, Isnani Darti
openaire +1 more source
Axiomatics for the external numbers of nonstandard analysis [PDF]
, 2017 Neutrices are additive subgroups of a nonstandard model of the real numbers. An external number is the algebraic sum of a nonstandard real number and a neutrix.
Berg, Imme van den, Dinis, Bruno
core +2 more sources
Time averaging for functional differential equations
Journal of Applied Mathematics, 2003 We present a result on the averaging for functional differential equations on finite time intervals. The result is formulated in both classical mathematics and nonstandard analysis; its proof uses some methods of nonstandard analysis.
Mustapha Lakrib
doaj +1 more source
On Infinitesimal L_ω-smooth Functions.
Zanco Journal of Pure and Applied Sciences, 2022 The aim of this paper is to study smoothness, approximate continuity, and approximate derivative in a nonstandard manner with respect to infinitesimal parameters.
Ibrahim O. Hamad
doaj
Leibnizian, Robinsonian, and Boolean Valued Monads [PDF]
, 2011 This is an overview of the present-day versions of monadology with some applications to vector lattices and linear inequalities.Comment: This is a talk prepared for the 20th St.
A. E. Gutman +14 more
core +1 more source
Theory of hypernumbers and extrafunctions: Functional spaces and differentiation
Discrete Dynamics in Nature and Society, 2002 The theory of hypernumbers and extrafunctions is a novel approach in functional analysis aimed at problems of mathematical and computational physics.
Mark Burgin
doaj +1 more source
Noncanonical quantization of gravity. II. Constraints and the physical Hilbert space [PDF]
, 2001 The program of quantizing the gravitational field with the help of affine field variables is continued. For completeness, a review of the selection criteria that singles out the affine fields, the alternative treatment of constraints, and the choice of ...
John R. Klauder +8 more
core +3 more sources
The method of averaging and functional differential equations with delay
International Journal of Mathematics and Mathematical Sciences, 2001 We present a natural extension of the method of averaging to fast oscillating functional differential equations with delay. Unlike the usual approach where the analysis is kept in an infinite-dimensional Banach space, our analysis is achieved in ℝn.
Mustapha Lakrib
doaj +1 more source
A dynamically consistent nonstandard finite difference scheme for a predator–prey model
Advances in Difference Equations, 2019 The interaction between prey and predator is one of the most fundamental processes in ecology. Discrete-time models are frequently used for describing the dynamics of predator and prey interaction with non-overlapping generations, such that a new ...
Muhammad Sajjad Shabbir +4 more
doaj +1 more source