50 citations · 136 across the 8 of their papers we have counts for
8 papers
Exact and approximate analytic solutions in the SIR epidemic model
Mario Berberan-Santos
In this work, some new exact and approximate analytical solutions are obtained for the SIR epidemic model, which is formulated in terms of dimensionless variables and parameters. T…
Exact and approximate solutions for a century-old problem: A general treatment of Henri-Michaelis-Menten enzyme kinetics
Mario N. Berberan-Santos
A different view of Henri-Michaelis-Menten (HMM) enzyme kinetics is presented. In the first part of the paper, a simplified but useful description that stresses the cyclic nature o…
A relaxation function encompassing the stretched exponential and the compressed hyperbola
Mario Berberan-Santos
A simple relaxation function I(t/tauzero; alpha, beta) unifying the stretched exponential with the compressed hyperbola is obtained, and its properties studied. The scaling paramet…
History of the Kohlrausch (stretched exponential) function: Focus on uncited pioneering work in luminescence
M. Berberan-Santos, E. N. Bodunov, B. Valeur
The first use of the stretched exponential function to describe the time evolution of a non-equilibrium quantity is usually credited to Rudolph Kohlrausch (1809-1858), who in 1854…
Radiation trapping in 1D using the Markov chain formalism: A computational physics project
A. R. Alves-Pereira, E. J. Nunes-Pereira, J. M. G. Martinho +1
A computational model study for complete frequency redistribution linear incoherent two-level atomic radiation trapping in optically dense media using the multiple scattering repre…
Advantages of the multiple scattering representation approach to radiation trapping
E. J. Nunes-Pereira, A. R. Alves-Pereira, J. M. G. Martinho +1
A simple stochastic formulation of the multiple scattering representation solution of the classical linear incoherent trapping problem is presented for a broad audience. A clear co…