Population Balances in Biomedical Engineering

Population Balances in Biomedical Engineering : Segregation Through the Distribution of Cell States

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The population balance modeling is a statistical approach for achieving accurate counts of any populations. It is an efficient way of counting traffic on roadways as well as to bacteria in lakes. In the biomedical world, it is used to count cell populations for the creation of biomaterials. Despite their undisputed accuracy, they have been underutilized for design and control purposes due to two main reasons: a) they are hard to solve and b) the functions that describe single-cell mechanisms and appear as parameters in these models are typically unknown.show more

Product details

  • Hardback | 182 pages
  • 154.9 x 231.1 x 20.3mm | 385.56g
  • McGraw-Hill Education - Europe
  • MCGRAW-HILL Professional
  • New York, NY, United States
  • English
  • 0071447687
  • 9780071447683

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A complete mathematical guide to creating models for the distribution of properties of cell populations Population Balances in Biomedical Engineering: Segregation through the Distribution of Cell States offers a framework for developing and solving simple models that are essential to determining the distribution of properties of cell populations and analyzing their underlying dynamic behavior. This rigorous resource takes a quantitative approach to overcoming obstacles that researchers face in building models that accurately approximate properties and classification of various cell populations. Coverage includes: Population balancing techniques for filamentous organisms Control points of steady-state and transient solutions Methods for analysis of the underlying behavior of cellular systems A Powerful Statistical Approach to Population Balance Modeling: * Population balance equations * Unstructured population balance equations * PBEs with control points: steady-state solutions * PBEs with control points: transient solutions * PBEs for filamentous organisms * Distributed breakage functions * Alternate formulationsshow more

About Martin A. Hjortso

Martin A. Hjortso, Ph.D, is Chevron Professor in the Department of Chemical Engineering at Louisiana State University in Baton Rouge. He received his master's degree in chemical engineering from the Technical University of Denmark in 1978 working in the area of computational fluid mechanics. His Ph.D. dissertation project, carried out at the Chemical Engineering department at the University of Houston and Caltech, was on the application of population balance models to the budding yeast cell cycle. He received his Ph.D. in chemical engineering from the University of Houston in 1983 and has been a member of the Chemical Engineering faculty at Louisiana State University since then. Since joining the faculty at LSU, he has maintained an interest and an active research program in population balances, applying these models to problems in cell adhesion, hairy root growth kinetics, and autonomously oscillating yeast cultures. The work, published in the scientific literature and presented at international meetings, earned him the 1995 Dean's Research Award. In addition to teaching the usual chemical engineering classes at LSU, Dr. Hjortso has taught classes on population balance modeling both at LSU and, as Otto Monsted Visiting Researcher, at the Center for Process Biotechnology at the Technical University of Denmark.show more

Table of contents

PREFACE NOMENCLATURE Chapter 1: Introduction Chapter 2: Unstructured PBMs Chapter 3: Steady-State Solutions Chapter 4: Transient Solutions Chapter 5: Cell Cycle Synchrony Chapter 6: Growth by Branching Chapter 7: Alternative Formulations BIBLIOGRAPHY INDEXshow more