Results 71 to 80 of about 6,531,183 (350)
On Disconjugate Differential Equations [PDF]
Transactions of the American Mathematical Society, 1968 with continuous coefficients on a t-interval I is said to be disconjugate on I if no solution (0-0) has n zeros on I. For n>2, most known results giving conditions which assure that (0.1) is disconjugate concern perturbations of un -=0 either for a fixed finite interval [as, e.g., in the theorem of de la Vallee Poussin (cf. [2, Exercise 5.3(d), p. 346])
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Single‐cell insights into the role of T cells in B‐cell malignancies
FEBS Letters, EarlyView.Single‐cell technologies have transformed our understanding of T cell–tumor cell interactions in B‐cell malignancies, revealing new T‐cell subsets, functional states, and immune evasion mechanisms. This Review synthesizes these findings, highlighting the roles of T cells in pathogenesis, progression, and therapy response, and underscoring their ...
Laura Llaó‐Cid
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A Recipe for State Dependent Distributed Delay Differential Equations
, 2018 We use the McKendrick equation with variable ageing rate and randomly distributed maturation time to derive a state dependent distributed delay differential equation.
Cassidy, Tyler +2 more
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DIFFERENTIAL EQUATIONS ON GRAPHS [PDF]
Mathematics of the USSR-Sbornik, 1972 The differential equations encountered in various applications may be treated as equations on graphs. In the paper it is shown that the structure of the graph allows us to investigate the properties of the solutions of such equations. Bibliography: 3 items.
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Aβ42 promotes the aggregation of α‐synuclein splice isoforms via heterogeneous nucleation
FEBS Letters, EarlyView.The aggregation of amyloid‐β (Aβ) and α‐synuclein (αSyn) is associated with Alzheimer's and Parkinson's diseases. This study reveals that Aβ aggregates serve as potent nucleation sites for the aggregation of αSyn and its splice isoforms, shedding light on the intricate interplay between these two pathogenic proteins.
Alexander Röntgen +2 more
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Nonlinear differential equation with first order partial derivatives
Вестник КазНУ. Серия математика, механика, информатика, 2018 The asymptotic behavior of solutions of a nonlinear differential equation with first-order partial derivatives solved with respect to one of the derivatives is investigated.
T. М. Aldibekov, M. M. Aldazharova
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Van der Pol model in two-delay differential equation representation
Scientific Reports, 2022 The Van der Pol equation is the mathematical model of a second-order ordinary differential equation with cubic nonlinearity. Several studies have been adding time delay to the Van der Pol model. In this paper, the differential equation of the Van der Pol
M. A. Elfouly, M. A. Sohaly
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Differential Equations in Fréchet Differentials Occurring in Integral Equations [PDF]
Proceedings of the National Academy of Sciences, 1945 Not ...
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FEBS Letters, EarlyView.Knowing how proteases recognise preferred substrates facilitates matching proteases to applications. The S1′ pocket of protease EA1 directs cleavage to the N‐terminal side of hydrophobic residues, particularly leucine. The S1′ pocket of thermolysin differs from EA's at only one position (leucine in place of phenylalanine), which decreases cleavage ...
Grant R. Broomfield +3 more
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On Some Functional-Differential Equation [PDF]
Учёные записки Казанского университета: Серия Физико-математические науки, 2016 The necessary and sufficient conditions for the existence and uniqueness of a solution of the problem for the functional-differential equation are established.
N.P. Evlampiev +2 more
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