g A cos m B sin m for some m
g(θ ) = A cos(mθ ) + B sin(mθ )
for some m ∈ and ρ → f ( ρ ) must solve the Bessel equation
Summing up, we obtain
a family indexed by m ∈ Z \ ±1 , p ∈ N . Apart from m = for which the eigenfunction is unique after normalisation, the eigenspace associated to λm,p is of dimension 2.
Similar computations for the case of a cylinder of height h and radius a lead to the result λm, p,l = a
If h is small compared to a, the contribution of the ( lhπ )2 term is too big and we will thus typically not see the eigenvalues such that l > in the z variable, an approximation precise up to O(( ha )2 ) errors. As a consequence, only the corresponding modes for l = will be observed, and we note that these are exactly the 2D modes.
Under this smallness assumption, it is interesting to note that
from the point of view of Turing instabilities, it is a good approxi-mation to neglect the z variable and focus on ⊂ R2 as a disk.
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Journal of Inorganic Biochemistry
journal homepage: www.elsevier.com/locate/jinorgbio
A cisplatin-based platinum(IV) prodrug containing a glutathione s-transferase inhibitor to reverse cisplatin-resistance in non-small cell lung cancer
Hong Chen, Xinyi Wang, Shaohua Gou
Pharmaceutical Research Center and School of Chemistry and Chemical Engineering, Jiangsu Province Hi-Tech Key Laboratory for Bio-medical Research, Southeast University, Nanjing 211189, China
Non-small cell lung cancer
A Pt(IV) prodrug of cisplatin containing a glutathione s-transferase (GSTs) inhibitor 6-(7-nitro-2,1,3-benzox-adiazol-4-ylthio)hexanol (NBDHEX), complex 1, was designed and studied aiming to overcome cisplatin-re-sistance and reduce its toxicity by inhibiting GSTs overexpressed in cancer cells. The complex could be reduced to release its active Pt(II) species and axial ligand in the presence of ascorbic acid. In cytotoxicity study, complex 1 showed more potent anticancer activity than cisplatin and NBDHEX against all the tested cancer cells, espe-cially toward cisplatin resistant A549/DDP cells with a resistance factor value of 0.37. By effectively inhibiting GSTs, complex 1 was found to be able to promote higher platinum uptake and cause more severe DNA damage in both A549 cells and A549/DDP cells as compared with cisplatin. Further mechanism study indicated that it could trigger cell death via an apoptotic pathway. In vivo tests on A549 xenograft tumor mice model showed that complex 1 presented higher tumor inhibiting rate and lower toxicity than cisplatin as well. In all, the Pt(IV) prodrug has potential to be developed as an anticancer agent.