Harmonic resonant excitation of flow-distributed oscillation waves and Turing patterns driven at a growing boundary

Abstract

We perform numerical studies of a reaction-diffusion system that is both Turing and Hopf unstable, and that grows by addition at a moving boundary (which is equivalent by a Galilean transformation to a reaction-diffusion-advection system with a fixed boundary and a uniform flow). We model the conditions of a recent set of experiments which used a temporally varying illumination in the boundary region to control the formation of patterns in the bulk of the photosensitive medium. The frequency of the illumination variations can select patterns from among the competing instabilities of the medium. In the usual case, the waves that are excited have frequencies (as measured at a constant distance from the upstream boundary) matching the driving frequency. In contrast to the usual case, we find that both Turing patterns and flow-distributed oscillation waves can be excited by forcing at subharmonic multiples of the wave frequencies. The final waves (with frequencies at integer multiples of the driving frequency) are formed by a process in which transient wave fronts break up and reconnect. We find ratios of response to driving frequency as high as 10.

AI-Quantum Phases on Chern-Simons Topological Geometrics for the Generation of A Ligand Targeting COVID-19-SARS-COV-2 SPIKE D614G Binding Sites.

“…The patterns of this Biogenetoligandorol fragmentation scheme are sorted into the working inputs of the Galilean transformation by examining the -extended‖ Galilean transformation based on a set of heuristically determined descriptors moving with relative acceleration to a rigid system to a nonrotating geometric observer having an arbitrary time-dependent acceleration (20,21,27,28). (25,29) These descriptors as an applied nonconcurrent to both translate and rotatecan be, for example, the number of atoms describing the pattern of a force system which can both translate and rotate and be determined by the substitution as a polynomial in ip(r, t) = eiJ{r,t) (p(r', t).…”

“…(3) (22,27,28,35) This In Silico approach keeps track of the solutions already found of the selected group of the selected hit candidates which were fragmented, recored and superposed in a non-relativistic quantum mechanics environment and finally led us to the complete Roccustyrna chemical structure. (Table1a), (20,28,29,30) If several chemical space solutions were found in the phase end, the combined theory has a sequence of similar such function spaces of finite but arbitrarily large selected dimension, where the partition dimension increases with the finite resolution of relative knot space measurements to the first dihydro-3H-purin-9-yl)-system when exctracted from the 10 hit selected small molecules as the possible chemical bimodules over a hyperfinite 1 factor solutions which were sorted by the number of different SARS-CoV Mpro, PDB entry 6lu7 receptor patterns. ------+---------+----------+-----------+-------------+--------------+-----------+ ----------+----------+---- -------+-----------+----------+-----------+-------------+--------------+------------------------+------------------------ ------+---------+----------+-----------+-------------+--------------+-----------+ ----------+----------+-----------+-----------+----------+-----------+-------------+--------------+------------------------+------------------------ ------+---------+----------+-----------+-------------+--------------+-----------+ ----------+----------+-----------+-----------+----------+-----------+-------------+--------------+------------------------+------------------------ ------+---------+----------+-----------+-------------+--------------+-----------+ ----------+----------+-----------+-----------+----------+-----------+-------------+--------------+------------------------+------------------------ ------+---------+----------+-----------+-------------+--------------+-----------+ ----------+----------+-----------+-----------+----------+-----------+-------------+--------------+------------------------+------------------------+ **Water Bridges** +- ------+---------+----------+-----------+-------------+--------------+----------+----------+-----------+-------------+-----------+-----------+-----------+--------------+--------------+-----------+------------------------+------------------------+-----------------------…”

“…(25,27,28) Since in previous studies It has been shown that Path selection for quantum repeater networks can be geometrically represented by Chern-Simons logical spaces and subspaces I decided to implement supersymmetric solutions and borel Singularities for N=2 allowing a quantum repeater based vectorial Supersymmetric Chern-Simons representation in this drug design project . (20,26,27,(28)(29)(30)(31) In general, the notions of Lindenbaum matrix and Lindenbaum-Tarski algebra have paved a way to further algebraization of logic, which had been begun by George Boole in the 19th century, as well as to a new branch of logic, model theory. Philosophical interpretations of QM were conditioned by ideals of what an explanatory theory should be.…”

“…Philosophical interpretations of QM were conditioned by ideals of what an explanatory theory should be. (Minkowski-type, waveedge, etc), (20,27,(32)(33) as well as probabilistic transformations Algebraic multi-metrics (Triangle area, Bond-angle, etc) and the associated axiomatic formulations (AQFT) treat observables rather than states as foundational for the interaction information extraction. (20,33,34,35) In this project, we show an original strategy and an application to quantum computing through the example of two coupled harmonic black-hole oscillators obtained by molecular modeling and simulations as orthogonical coordinates applied for the design of a novel multi-chemo-structure against the crystal structure of COVID-19 protein targets in a Lindenbaum-Tarski generated QSAR automating modeling lead compound design approach.…”

“…(Minkowski-type, waveedge, etc), (20,27,(32)(33) as well as probabilistic transformations Algebraic multi-metrics (Triangle area, Bond-angle, etc) and the associated axiomatic formulations (AQFT) treat observables rather than states as foundational for the interaction information extraction. (20,33,34,35) In this project, we show an original strategy and an application to quantum computing through the example of two coupled harmonic black-hole oscillators obtained by molecular modeling and simulations as orthogonical coordinates applied for the design of a novel multi-chemo-structure against the crystal structure of COVID-19 protein targets in a Lindenbaum-Tarski generated QSAR automating modeling lead compound design approach. (29,35,36) A meta server and a Kappa-Symmetry C algebra of local observables were incorporated for the docking FDA approved small molecules, peptide-mimetic and humanized antibodies against potential targets of COVID-19 via a generalized procedure of Quantization of classical fields which were fused together with QSAR automating modeling to lead the commutation and anticommutation relations.…”