Publicou 4 edições por ano
ISSN Imprimir: 1099-2391
ISSN On-line: 2641-7359
EXPLICIT PERTURBATION SOLUTION OF A MASS STRUCTURED CELL POPULATION BALANCE MODEL
RESUMO
Cell cultures can be thought as a continuum of organisms, each of which goes through a cycle that includes birth, aging, reproduction, and death. The properties of each organism change during this cycle and one (or more) of these properties can be used to continuously characterize the individuals present in the culture, using a frequency distribution function. Rigorous models for this kind of mixture are called population balance equations. Due to their integro-partial differential form, these equations are considered difficult to solve analytically, and approximations or numerical approaches are usually employed. In the present work, an explicit solution to this kind of equation is found, with minimum loss of generality, using a perturbational procedure. Once the recurrence is obtained, the terms are expanded in an orthonormal basis to calculate the time evolution of the distributions.
-
Peixoto F. C., de Medeiros J. L., Reactions in multiindexed continuous mixtures: Catalytic cracking of petroleum fractions, AIChE Journal, 47, 4, 2001. Crossref
-
Barbosa I.V.M., Merquior D.M., Peixoto F.C., Continuous modelling and kinetic parameter estimation for cellulose nitration, Chemical Engineering Science, 60, 19, 2005. Crossref