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Hybrid Methods in Engineering

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

Volume 1, Edição 4, 1999, 24 pages
DOI: 10.1615/HybMethEng.v1.i4.70
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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.

CITADO POR
  1. Peixoto F. C., de Medeiros J. L., Reactions in multiindexed continuous mixtures: Catalytic cracking of petroleum fractions, AIChE Journal, 47, 4, 2001. Crossref

  2. 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

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