Available:*
Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
|---|---|---|---|---|---|
Searching... | 30000004729806 | QH605 H56 2006 | Open Access Book | Book | Searching... |
On Order
Summary
Summary
Publisher's Note: Products purchased from Third Party sellers are not guaranteed by the publisher for quality, authenticity, or access to any online entitlements included with the product.
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.
Author Notes
Martin A. Hjortsø, 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.
Table of Contents
| Preface | p. ix |
| Nomenclature | p. xi |
| Chapter 1 Introduction | p. 1 |
| 1.1 What Are Population Balance Models? | p. 1 |
| 1.2 The Distribution of States | p. 5 |
| 1.3 The Age Population Balance | p. 7 |
| 1.4 Other PBMs | p. 9 |
| 1.4.1 Population Balances in Ecology | p. 11 |
| 1.5 PBMs of Cell Cultures | p. 12 |
| Chapter 2 Unstructured PBMs | p. 15 |
| 2.1 PBEs with Conserved Cell State Parameter | p. 15 |
| 2.2 Breakage, Death, and Growth Functions | p. 20 |
| 2.2.1 Division Intensity [Gamma] | p. 20 |
| 2.2.2 Distribution of Birth States p | p. 21 |
| 2.2.3 Death Intensity [Theta] | p. 23 |
| 2.2.4 Single-Cell Growth Rate r | p. 25 |
| 2.3 Some Properties of PBMs | p. 29 |
| 2.4 Substrate and Product Balances | p. 32 |
| 2.5 The Age Distribution | p. 32 |
| 2.5.1 Age Division Intensity | p. 34 |
| 2.6 Problems | p. 38 |
| Chapter 3 Steady-State Solutions | p. 39 |
| 3.1 Control Points | p. 39 |
| 3.2 Distributed Breakage Functions | p. 52 |
| 3.3 Problems | p. 59 |
| Chapter 4 Transient Solutions | p. 63 |
| 4.1 Method of Characteristics | p. 68 |
| 4.2 Cauchy's Method | p. 74 |
| 4.3 Fixed Control Points | p. 85 |
| 4.4 Transient Control Point Balances | p. 89 |
| 4.5 Solutions for Large Times | p. 107 |
| 4.6 Problems | p. 130 |
| Chapter 5 Cell Cycle Synchrony | p. 135 |
| 5.1 Induction Synchrony | p. 136 |
| 5.2 Autonomous Oscillations | p. 140 |
| 5.3 Problems | p. 147 |
| Chapter 6 Growth by Branching | p. 149 |
| 6.1 Branching Rules | p. 150 |
| 6.2 Simulation of Tip Numbers | p. 158 |
| 6.3 Problems | p. 164 |
| Chapter 7 Alternative Formulations | p. 165 |
| 7.1 Problems | p. 170 |
| Bibliography | p. 173 |
| Index | p. 181 |
