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