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325270 occurrences (No.61 in the rank) during 5 years in the PubMed. [no cache] 500 found

334) According to the statistical analysis, we provide analytical expression for the blood perfusion coefficient in the Pennes equation, as a function of several parameters.

--- ABSTRACT ---

PMID:24462603 DOI:10.1016/j.mvr.2014.01.006

2015 Microvascular research

* 3D discrete angiogenesis dynamic model and stochastic simulation for the assessment of blood perfusion coefficient and impact on heat transfer between nanoparticles and malignant tumors.

- Early detection of malignant tumors plays a crucial role in the survivability chances of the patient. Therefore, new and innovative tumor detection methods are constantly searched for. Tumor-specific magnetic-core nano-particles can be used with an alternating magnetic field to detect and treat tumors by hyperthermia. For the analysis of the method effectiveness, the bio-heat transfer between the nanoparticles and the tissue must be carefully studied. Heat diffusion in biological tissue is usually analyzed using the Pennes Bio-Heat Equation, where blood perfusion plays an important role. Malignant tumors are known to initiate an angiogenesis process, where endothelial cell migration from neighboring vasculature eventually leads to the formation of a thick blood capillary network around them. This process allows the tumor to receive its extensive nutrition demands and evolve into a more progressive and potentially fatal tumor. In order to assess the effect of angiogenesis on the bio-heat transfer problem, we have developed a discrete stochastic 3D model & simulation of tumor-induced angiogenesis. The model elaborates other angiogenesis models by providing high resolution 3D stochastic simulation, capturing of fine angiogenesis morphological features, effects of dynamic sprout thickness functions, and stochastic parent vessel generator. We show that the angiogenesis realizations produced are well suited for numerical bio-heat transfer analysis. Statistical study on the angiogenesis characteristics was derived using Monte Carlo simulations. According to the statistical analysis, we provide analytical expression for the blood perfusion coefficient in the Pennes equation, as a function of several parameters. This updated form of the Pennes equation could be used for numerical and analytical analyses of the proposed detection and treatment method.

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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 ---