Differential equation analysis in biomedical science and engineering : ordinary differential equation applications with R

439 Pages·2014·2.81 MB·English

by  William E. Schiesser

DIFFERENTIAL
EQUATION ANALYSIS IN
BIOMEDICAL SCIENCE
AND ENGINEERING

DIFFERENTIAL
EQUATION ANALYSIS IN
BIOMEDICAL SCIENCE
AND ENGINEERING
ORDINARY DIFFERENTIAL
EQUATION APPLICATIONS WITH R
William E. Schiesser
Department of Chemical Engineering
Lehigh University
Bethlehem, PA
CoverDesign:Wiley
CoverIllustration:Courtesyoftheauthor
Copyright©2014byJohnWiley&Sons,Inc.Allrightsreserved.
PublishedbyJohnWiley&Sons,Inc.,Hoboken, NewJersey.
PublishedsimultaneouslyinCanada.
Nopartofthispublication maybereproduced,storedinaretrievalsystem,ortransmitted
inanyformorbyanymeans,electronic, mechanical, photocopying,recording,scanning,
orotherwise,exceptaspermittedunderSection107or108ofthe1976UnitedStates
CopyrightAct,withouteitherthepriorwrittenpermissionofthePublisher,or
authorizationthroughpaymentoftheappropriateper-copyfeetotheCopyrightClearance
Center,Inc.,222RosewoodDrive,Danvers,MA01923,[phone],fax(978)
750-4470,oronthewebatwww.copyright.com. RequeststothePublisherforpermission
shouldbeaddressedtothePermissionsDepartment,JohnWiley&Sons,Inc.,111River
Street,Hoboken,NJ07030,[phone],fax[phone],oronlineat
http://www.wiley.com/go/permission.
LimitofLiability/DisclaimerofWarranty:Whilethepublisherandauthorhaveusedtheir
besteffortsinpreparingthisbook,theymakenorepresentationsorwarrantieswithrespect
totheaccuracy orcompletenessofthecontentsofthisbookandspecificallydisclaimany
impliedwarrantiesofmerchantability orfitnessforaparticularpurpose.Nowarrantymay
becreatedorextendedbysalesrepresentativesorwrittensalesmaterials.Theadviceand
strategiescontained hereinmaynotbesuitableforyoursituation.Youshouldconsultwith
aprofessionalwhereappropriate.Neitherthepublishernorauthorshallbeliableforany
lossofprofitoranyothercommercial damages,includingbutnotlimitedtospecial,
incidental, consequential,orotherdamages.
Forgeneralinformationonourotherproductsandservicesorfortechnicalsupport,please
contactourCustomerCareDepartmentwithintheUnitedStatesat(800)762-2974,outside
theUnitedStatesat(317)572-3993orfax(317)572-4002.
Wileyalsopublishesitsbooksinavarietyofelectronicformats.Somecontentthat
appears inprintmaynotbeavailable inelectronicformats.Formoreinformationabout
Wileyproducts,visitourwebsiteatwww.wiley.com.
LibraryofCongressCataloging-in-PublicationData:
Schiesser,W.E.
Differentialequationanalysisinbiomedical scienceandengineering : ordinary
differentialequationapplications withR/WilliamE.Schiesser,DepartmentofChemical
Engineering,LehighUniversity,Bethlehem,PA.
pagescm
Includes bibliographicalreferences andindex.
ISBN978-1-118-70548-3(cloth)
1. Biomedicalengineering–Mathematics. 2. Biomathematics. 3. Bioreactors–Data
processing. 4. Differentialequations. I.Title.
R857.M34O342013
610.280285–dc23
2013020440
PrintedintheUnitedStatesofAmerica.
10987654321
To John Backus and Leon Lapidus,
and their research groups

CONTENTS
Preface ix
1. Introduction to Ordinary Differential Equation
Analysis: Bioreactor Dynamics 1
2. Diabetes Glucose Tolerance Test 79
3. Apoptosis 145
4. Dynamic Neuron Model 191
5. Stem Cell Differentiation 217
6. Acetylcholine Neurocycle 241
7. Tuberculosis with Differential Infectivity 321
8. Corneal Curvature 337
AppendixA1:Stiff ODE Integration 375
Index 417
vii