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Gene Therapy for Acquired Tissue Damage
Published in Yashwant V. Pathak, Gene Delivery Systems, 2022
Rakesh Sharma, Robert Moffatt, Yuvraj Singh Negi, Shashi Prabha Singh
Control of virus seed banks should include identity (genetic and immunological), virus concentration and infectious titer, virus genome integrity, expression of the therapeutic sequences, biological activity of the therapeutic sequence or the derived product (protein or RNA), sterility (bacterial, and fungal), absence of Mycoplasma and Spiroplasma (in case insect cells are used during virus seed production), absence of adventitious/contaminating viruses and RCVs (where the product is replication deficient or replication conditional), intervial homogeneity and other relevant characteristics of the virus seed bank. The complete sequence of the therapeutic and the regulatory elements and, where feasible, the complete sequence of the virus in the seed bank should be confirmed as part of the characterization (see Table 14.1).
Weakly nonlinear systems
Published in Simon Serovajsky, Optimization and Differentiation, 2017
1. We use the Galerkin method for proving the solvability of the equation (see previous chapter). There exists a complete sequence of the linear independent elements {μm} $ \{\mu _m\} $ of the space Y. Determine the sequence of elements {yk} $ \{y_k\} $ of the space Y by the formula yk=∑m=1kξmkμm,k=1,2,…, $$ \begin{aligned} y_k\,=\, \sum \limits _{m=1}^k \xi _{mk}\mu _m,\;k=1,2,\ldots , \end{aligned} $$
A Deterministic Approach to Nonlinear Systems Analysis
Published in Robert B. Pinter, Bahram Nabet, Nonlinear Vision: Determination of Neural Receptive Fields, Function, and Networks, 1992
A binary M-sequence of length 2k – 1, thus, contains all possible configurations of k consecutive elements exactly once, except the all-zero configuration. The all-zero configuration can never be part of the sequence, since the modulo 2 sum of any number of zeros is zero. These sequences are commonly called maximum length linear feedback shift register sequences or simply binary M-sequences. Note that each binary M-sequence contains a run of k – 1 zeros. If a zero is added to this run, the M-sequence becomes a complete sequence.
On R-duals and the duality principle in Banach frames
Published in Applicable Analysis, 2021
S. Hashemi Sanati, M. S. Asgari
Let and . Then is called a -Riesz basis for X if it is a complete sequence in X and there exist such that The sequence is a -Riesz basis for if it is a complete sequence in and there exist constants such that
Recovering the initial condition of parabolic equations from lateral Cauchy data via the quasi-reversibility method
Published in Inverse Problems in Science and Engineering, 2020
For each n>1, define a complete sequence in with where Using the Gram–Schmidt orthonormalization for the sequence , we can construct an orthonormal basis of named as . For each n, the function takes the form where is a polynomial of the order. For each we consider as a function with respect to t. The Fourier series of this function is where Fix a positive integer N. We truncate the Fourier series in (8). The function is approximated by In this context, the partial derivative with respect to t of is approximated by for all and
Nighttime safety evaluation for signalized intersections at the signal cycle level based on rear-end conflict models considering lighting and traffic conditions
Published in Traffic Injury Prevention, 2020
Yuan Wang, Zhexian Li, Zhirui Ye, Yunlong Zhang
In the process of video-data extraction, all the videos were separated by each signal cycle of each intersection. Each video clip contains all vehicle movements during a signal cycle. A signal cycle is a complete sequence of all signal indications. Figure A2 (Appendix, Supplementary material) illustrates the video analysis procedure in detail using the software tracker. First, real distance value was set as a calibration to obtain the proportion of conversion coordinates to pixel coordinates. The frame rate was set as five per second. Second, within each cycle’s frame, the headlamps were tracked as the feature of each vehicle that moved straight through the whole intersection. Third, the motion of headlamps of each vehicle is captured automatically by the tracker, and then trajectories consisting of particles that indicate the location of a vehicle in each frame can be extracted. In this study, only the trajectories of vehicles that go straight through the intersections were extracted to focus on the rear-end conflicts analyses.