Francisco Mendes de Oliveira Castro, Brazilian mathematician (Petrópolis, Rio de Janeiro 19 May 1902 – Rio de Janeiro 30 May 1993)
Brother of biologist Gustavo Mendes de Oliveira Castro
Solved the Volterra integral equation using iterated nuclei method that earned him world renown
Zur theorie der dielektrischen Nachwirkung . Z. Physik Sonderabdruck 114(1-2):116-26, 1939
Solved the Schrödinger equation for harmonic oscillator in finite differences
Showed that random distribution of nucleons under interactions is ruled by Poisson distribution
Poisson statistics and the diffusion-equation of nucleons and charged pions in the atmosphere. An. Acad. Bras. Ciencias 49, 1977
With H.M. Portella & N. Arata. Exact solution of the diffusion equation of cosmic-ray nucleons with rising cross section
With C. Lattes, N.M. Amato, W.A. Rodrigues Jr., J.B. Filho, J.L. Cardoso, J.A. Chinellato, Y. Fujimoto & N. Arata. New type of nuclear interaction in the Σ Eγ ≥1014 eV Region. AIP Conf. Proc. 49, 1978
With H.M. Portella, N.M. Amato & R.C.H. Maldonado. An alternative method to solve the hadronic cosmic-ray diffusion equations: the muon and neutrino fluxes. J. Phys. A Math.Gen. 27:539-45, 1994
Son of his cousin, Gilberto Mendes de Oliveira Castro, cellular biophysicist (Rio de Janeiro 20 August 1940 – Rio de Janeiro 05 August 2015)
Demonstrated the formation of communicating junctions in lecythin-stimulated human lymphocytes
With M.A. Barcinski & S. Cukierman. Intercellular communication in stimulated human lymphocytes. J. Immunol. 111:1616-9, 1973
Characterized the ionic basis of electric signals of macrophages membrane
With P.M. Persechini & E.G. Araújo. Electrophysiology of phagocytic membranes induction of slow membrane hyperpolarizations in macrophages polykaryons by a pot+2 injection. J. Memb. Biol. 61:81-90, 1981
With E.G. Araújo & P.M. Persechini. Electrophysiology of phagocytic membranes: role of divalent cations in membrane hyperpolarizations of macrophage polykaryons. Biochim. Biophys. Acta 856:362-72, 1986
With C. Albuquerque, S.M.C. Oliveira, R. Coutinho Silva & P.M. Persechini. ATP-and UTP-induced currents in macrophages and macrophages polykaryons. Amer. J. Physiol. 265 (6Pt1):C1663-73, 1993
OTHERS
With W.R. Loewenstein. Junctional membrane permeability: effects of divalent cations. J. Memb. Biol. 5:51-77, 1971
A method of emptying and examining glass microelectrodes under the electron microscope
With R.D. Machado. Control of glass microelectrodes for intracellular recordings. Experientia 25:556-8, 1969