Results 31 to 40 of about 159,062 (288)
LDAcoop: Integrating non‐linear population dynamics into the analysis of clonogenic growth in vitro
Molecular Oncology, EarlyView.Limiting dilution assays (LDAs) quantify clonogenic growth by seeding serial dilutions of cells and scoring wells for colony formation. The fraction of negative wells is plotted against cells seeded and analyzed using the non‐linear modeling of LDAcoop.
Nikko Brix +13 more
wiley +1 more source
Fractal and FractionalThis article investigates the qualitative analysis and traveling wave solutions of a (3 + 1)-dimensional generalized nonlinear Konopelchenko-Dubrovsky-Kaup-Kupershmidt system.
Zhao Li, Ejaz Hussain
doaj +1 more source
Dynamics, 2023 Many physical processes can be described via nonlinear second-order ordinary differential equations and so, exact solutions to these equations are of interest as, aside from their accuracy, they may reveal beforehand key properties of the system’s ...
Murillo V. B. Santana
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Algorithm for Liapunov stability analysis [PDF]
, 1972 Development of algorithm provides automatic computation of quadratic estimate of domain of stability for stable equilibrium states of nonlinear systems of ordinary differential ...
Cohen, V. D. +2 more
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Perturbations of nonlinear systems of ordinary differential equations
Journal of Mathematical Analysis and Applications, 1984 Along with the n dimensional system (1) \(y'=f(t,y)\) the perturbed system (2) \(x'=f(t,x)+g(t,x)\) is considered. Certain refined assumptions are made about estimates of the fundamental matrix solution of the variational system with respect to a solution of system (1), and about g. (The function g need not be ''small'', it may be sublinear or linear.)
openaire +2 more sources
Nonlinear boundary value problem for a system of nonlinear ordinary differential equations [PDF]
Časopis pro pěstování matematiky, 1985 We investigate a system of nonlinear differential equations with a special type of stable nonlinear boundary conditions. We suppose that by means of this system we can define a monotone operator T with a potential J. We seek a weak solution in the set M, a subset of a Sobolev space V.
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Molecular Oncology, EarlyView.Cytarabine is a key therapy for acute myeloid leukaemia (AML), but its efficacy is limited by the dNTPase SAMHD1, which hydrolyses its active metabolite. Screening nucleotide biosynthesis inhibitors revealed that IMPDH inhibitors selectively sensitise SAMHD1‐proficient AML cells to cytarabine.
Miriam Yagüe‐Capilla +9 more
wiley +1 more source
Qualitative Analysis of a Retarded Mathematical Framework with Applications to Living Systems
Abstract and Applied Analysis, 2013 This paper deals with the derivation and the mathematical analysis of an autonomous and nonlinear ordinary differential-based framework. Specifically, the mathematical framework consists of a system of two ordinary differential equations: a logistic ...
Carlo Bianca +2 more
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Developing Clean Technology through Approximate Solutions of Mathematical Models [PDF]
, 2012 In this paper, the role of mathematical modeling in the development of clean technology has been considered. One method each for obtaining approximate solutions of mathematical models by ordinary differential equations and partial differential ...
Anake, T. A.
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, 2011 The linearization of complex ordinary differential equations is studied by extending Lie's criteria for linearizability to complex functions of complex variables.
A. Qadir +37 more
core +3 more sources