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An additional modification transforms the final asymmetric matrix vector multiplication into a symmetric matrix vector product: (1) (2) Note that is by construction a symmetric matrix, whereas is generally asymmetric.
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VEGF189 is frequently associated with the cell surface and extracellular matrix, whereas VEGF165 is both a secreted protein and is HSPG-associated [13].
Based on n × p data matrix X, whose rows r i (j = 1,…, n) tally to observational variables and whose columns c j (j = 1,…, p) are the individuals of the corresponding variables, the ICA model of X can be written as (4) X = A S. With generality intact, A is a n × n mixing matrix, whereas S is a n × p source matrix under the necessity of S being statistically independent as possible.
In this case, is a 185 × 250 matrix, whereas, c is a 250 × 1 vector with elements 0 or - ∞ (this corresponds to kinetic parameters whose values are fixed to zero).
The matrix ({text{D }}) is a nonsingular input map matrix whereas U is the control input vector.
Because of the intrinsic properties of the two isoforms, they are present in the tissue compartments in very different forms: VEGF165 is primarily bound to the extracellular matrix, whereas VEGF121 is largely in soluble form in the plasma and interstitial spaces.
COL1 is the major structural component of the bone matrix whereas VCAM1 is constitutively expressed by bone endothelial cells; when bound by Alpha2/Beta1, subsequent RhoC activation primes cell morphology for invasion [ 58, 59].
Furthermore, in several HFs, AE13 immunostaining was detected in the matrix, whereas it was absent in the IRS, where it was physiologically expressed.These results show that miR-24 overexpression in ORS produces an altered differentiation process in HF keratinocytes.
Our results suggest that expression of the CTR may be a more definitive marker of terminal osteoclast differentiation than the β3 integrin because it was solely confined to the bone matrix whereas β3 was very weakly detected on some multinucleated cells associated with wear particles.
Based on these observations, these investigators propose that excessive aggrecanase activity is destructive to cartilage matrix, whereas MMP activity is nondestructive since it trims mostly the C-terminal region of the aggrecan molecule and much of the GAG-bearing product is retained in the tissue [ 96] (see Fig. 1).
The results show that the material failure is dominated by interface failure under relatively high-loading rate whereas matrix failure is dominant under relatively low-loading rate.
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