ELIZA

return kwic search for provide out of >500 occurrences
325270 occurrences (No.61 in the rank) during 5 years in the PubMed. [cache]

335) We provide analytical solutions which, when compared with appropriate experiments, may allow the various parameters of the system to be estimated via the inverse problem.

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PMID:24463960 DOI:10.1093/imammb/dqt025

2015 Mathematical medicine and biology : a journal of the IMA

* Release mechanism and parameter estimation in drug-eluting stent systems: analytical solutions of drug release and tissue transport.

- Drug-eluting stents have significantly improved the treatment of coronary artery disease. They offer reduced rates of restenosis compared with their bare-metal predecessors and are the current gold standard in percutaneous coronary interventions. Drug-eluting stents have been approved for use in humans since 2002 and yet, despite the intensive research activity over the past decade, the drug release mechanism(s) and the uptake into the arterial wall are still poorly understood. While stent manufacturers have focussed primarily on empirical methods, several mathematical models have appeared in the literature considering the release problem, the uptake problem and also the coupled problem. However, two significant challenges that remain are in understanding the drug release mechanism(s) and also the determination of the various parameters characterizing the system. These include drug diffusion coefficients and dissolution constants in the stent polymer coating as well as drug diffusion coefficients, binding/uptake rates and the magnitude of the transmural convection in the arterial wall. In this paper we attempt to address these problems. We provide analytical solutions which, when compared with appropriate experiments, may allow the various parameters of the system to be estimated via the inverse problem. The analytical solutions which we provide here for drug release in vitro may thus be used as a tool for providing insights into the mechanism(s) of release.

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[frequency of next (right) word to provide]

(1)109 a	(12)6 insight	(23)3 care	(34)2 effective
(2)39 an	(13)6 recommendations	(24)3 direct	(35)2 first
(3)32 the	(14)5 reliable	(25)3 guidance	(36)2 for
(4)25 evidence	(15)5 them	(26)3 novel	(37)2 good
(5)14 useful	(16)4 information	(27)3 preliminary	(38)2 greater
(6)13 new	(17)4 insights	(28)2 accurate	(39)2 methodological
(7)8 more	(18)4 such	(29)2 additional	(40)2 one
(8)7 rather	(19)4 us	(30)2 analytical	(41)2 some
(9)7 support	(20)4 valuable	(31)2 answers	(42)2 sufficient
(10)6 further	(21)3 adequate	(32)2 basic	(43)2 to
(11)6 important	(22)3 better	(33)2 clinically

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--- WordNet output for provide --- =>供給する, 与える, 規定する, 条件とする, 準備する, 用意する, 扶養する, 援助する Overview of verb provide The verb provide has 7 senses (first 4 from tagged texts) 1. (270) supply, provide, render, furnish -- (give something useful or necessary to; "We provided the room with an electrical heater") 2. (25) provide, supply, ply, cater -- (give what is desired or needed, especially support, food or sustenance; "The hostess provided lunch for all the guests") 3. (14) provide -- (determine (what is to happen in certain contingencies), especially by including a proviso condition or stipulation; "The will provides that each child should receive half of the money"; "The Constitution provides for the right to free speech") 4. (2) put up, provide, offer -- (mount or put up; "put up a good fight"; "offer resistance") 5. leave, allow for, allow, provide -- (make a possibility or provide opportunity for; permit to be attainable or cause to remain; "This leaves no room for improvement"; "The evidence allows only one conclusion"; "allow for mistakes"; "leave lots of time for the trip"; "This procedure provides for lots of leeway") 6. provide, bring home the bacon -- (supply means of subsistence; earn a living; "He provides for his large family by working three jobs"; "Women nowadays not only take care of the household but also bring home the bacon") 7. provide -- (take measures in preparation for; "provide for the proper care of the passengers on the cruise ship") --- WordNet end ---