An AI‐powered, robot‐assisted framework automatically produces, images, and analyzes 3D tumor spheroids to evaluate drug efficacy. Integrated modules handle spheroid formation, live/dead staining, brightfield imaging, and automated image analysis, including spheroid segmentation, viability and metrics to assess the drug treatment efficacy. The workflow
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A Practical Identifiability Criterion Leveraging Weak-Form Parameter Estimation. [PDF]
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Periodic structures of solitons and shock wave solutions in the fractional nonlinear Shynaray-IIA equation via a generalized analytical method. [PDF]
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Boundary value problems for higher order nonlinear ordinary differential systems
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Universal formats for nonlinear ordinary differential systems
Journal of Mathematical Physics, 1981It is shown that very general nonlinear ordinary differential systems (embracing all that arise in practice) may, first, be brought down to polynomial systems (where the nonlinearities occur only as polynomials in the dependent variables) by introducing suitable new variables into the original system; second, that polynomial systems are reducible to ...
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Classification of systems of nonlinear ordinary differential equations with superposition principles
Journal of Mathematical Physics, 1984A system of n first-order nonlinear ordinary differential equations ẋ(t)=f(x,t) is said to admit a superposition principle if its general solution can be written as a function of a finite number m of particular solutions and n constants. Such a system can be associated with the nonlinear action of a Lie group G on a space M.
Shnider, S., Winternitz, P.
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