Results 61 to 70 of about 4,643,635 (279)
Behavior of solutions of a second order rational difference equation [PDF]
In this paper, we solve the difference equation xn+1 = α xnxn-1 - 1 , n = 0, 1, . . . , where α > 0 and the initial values x-1, x0 are real numbers. We find some invariant sets and discuss the global behavior of the solutions of that equation.
Abo-Zeid Raafat
doaj
Research is strongest when conducted alongside patients, not just about them. Patient research organizations help integrate patient perspectives into research priorities, study design, and scientific meetings, leading to meaningful patient outcomes and development of relevant therapies.
Jenica H. Kakadia +9 more
wiley +1 more source
Rational Solutions of Difference Painlevé Equations
The author captures all rational solutions of some difference Painlevé equations of PI and PII types. For non-autonomous cases it is shown that all rational solutions of the difference PII equations are generated by successive applications of auto-Bäcklund transformations to the seed solution vanishing identically, and that other equations of PI type ...
openaire +3 more sources
Long‐Term Follow‐Up of Chemotherapy‐Associated Biological Aging in Women With Early Breast Cancer
Women threated with adjuvant chemotherapy for early breast cancer have sustained long‐term increase in p16INK4a,, a robust marker of cell senescence, suggesting a chemotherapy‐associated age acceleration. p16INK4a as well as other biomarkers may identify patients at greatest risk for senescence‐related diseases of aging.
Hyman B. Muss +12 more
wiley +1 more source
Global behavior of a higher-order rational difference equation
We investigate in this paper the global behavior of the following difference equation: , n = 0,1,..., under appropriate assumptions, where b ∈ [0, ∞), k ≥ 1, i0, i1,...,i2k ∈ {0,1,...} with i0 <i1 < ... <i2k, the initial
Xi Hongjian, Sun Taixiang
doaj
ABSTRACT Objective To (1) validate GAD65‐ELISA detection and quantification for type 1 diabetes mellitus and autoimmune neurological diagnoses, (2) correlate ELISA results (reference range < 5 IU/mL) with established radioimmunoprecipitation assay (RIA; ≤ 0.02 nmol/L), and (3) define ELISA clinical utility and pitfalls.
Andrew McKeon +11 more
wiley +1 more source
ABSTRACT Background Collaterals are crucial factors that influence the infarct growth rate (IGR). We aimed to determine whether a comprehensive multimodal collateral score (MCS), incorporating collateral assessment at the arterial, tissue, and venous levels, is associated with functional independence and provides incremental prognostic value over ...
Giorgio Busto +12 more
wiley +1 more source
Rational difference equation of second order [PDF]
Diplomdarbā tiek aplūkoti otrās kārtas racionāli diferenču vienādojumi. šāda tipa vienādojumus izmanto dažādu zinātņu nozarēs, piemēram, populācijas dinamikas pētīšanai bioloģijā.
Aņisimova, Aija, Asa’d, Ayah Zuhair
core
Jacobi Elliptic Solutions for Nonlinear Differential Difference Equations in Mathematical Physics
We put a direct new method to construct the rational Jacobi elliptic solutions for nonlinear differential difference equations which may be called the rational Jacobi elliptic functions method.
Khaled A. Gepreel, A. R. Shehata
doaj +1 more source
Sertraline Treatment Can Mimic Niemann‐Pick Type C Biomarker Profile: A Diagnostic Pitfall
ABSTRACT Background Oxysterols (cholestane‐3β,5α,6β‐triol and 7‐ketocholesterol) and N‐palmitoyl‐O‐phosphocholineserine (PPCS) are sensitive biomarkers for Niemann‐Pick disease type C (NPC) screening. However, false‐positive results occur, with a biomarker profile suggestive of NPC despite the absence of pathogenic variants in genes involved in NPC or ...
Maria Makrygianni +19 more
wiley +1 more source

