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In this paper, we study projective algebra, p(M, F), of special (α, β)-metrics. The projective algebra of a Finsler space is a finite-dimensional Lie algebra with respect to the usual Lie bracket. We characterize p(M, F) of Matsumoto and square metrics of isotropic S-curvature of dimension n ≥ 3 as a certain Lie sub-algebra of the Killing algebra k(M, α). We also show that F has a maximum projective symmetry if and only if F either is a Riemannian metric of constant sectional curvature or locally Minkowskian.

Microinjection is a widely used technique to inject defined volumes and concentrations of substances and explore their physiological function in vivo. The technique has been particularly successful with zebrafish embryos; however, the injection equipment can be relatively expensive and therefore available only to well-funded laboratories. In this study, a simple, cheap, easy-to-assemble, and easy-to-use setup with a straightforward, accurate, and efficacious calibration method is introduced. The accuracy of this calibration method was tested by comparing with the results of calibration methods that are currently used in high-cost systems. Injection success with this low-cost system was verified based on the presence of injected dyes in zebrafish embryos, the absence of any significant morphological and behavioral differences between 3,4,-dichloroaniline-treated and untreated embryos, and larval viability.