David A. Edwards
Professor of Mathematics
Department of Mathematical Sciences
University of Delaware
Newark, DE 19716-2553
(302) 831-1871
http://www.math.udel.edu/~edwards
Curriculum Vita
(This page contains my most recent accomplishments. For information on older
accomplishments, as well as some other supplemental information, click
here.)
Education
- Graduate:
- California Institute of Technology, Pasadena, California
- Ph.D. (Applied Mathematics),
1994
- Thesis Title: A Model
for Nonlinear Diffusion in Polymers
- Thesis Advisor: Donald
S. Cohen
- Undergraduate:
- California Institute of Technology, Pasadena, California
- B.S. with Honor (Applied
Mathematics), 1990
- Actuarial Science:
- 2004 System: Passed Exams P, MF, M, and all VEE
- 1990s System: Passed Exams 100, 110, 120, 130, 135, 140, 150, 151
Experience
- September 2007-present
- Professor
- Department of Mathematical
Sciences
- University of Delaware
- Newark, Delaware
- Pursue interesting questions in biochemical reactions,
electrogenerated chemiluminescence waves, neural signaling in the
olfactory system, solar cells, mathematical finance, box office
dynamics, and transport in foams. Teach (undergraduate) Differential
Equations with Linear Algebra I
and II,
Elementary
Linear
Algebra, Engineering
Mathematics I, Ordinary
Differential Equations, Application
of Mathematics in Economics, Introduction
to
Partial Differential Equations and (graduate) Introduction
to
Applied Mathematics I and II,
Vector
Spaces, Asymptotics
and
Perturbation Methods, and Introduction
to Mathematical Finance.
- September 2010-August 2011
- Interim Chair
- Department of Mathematical
Sciences
- University of Delaware
- Newark, Delaware
- Led a department of over 50 full-time faculty and staff. Responsible
for faculty and personnel development, program development and
departmental planning, and budgetary functions.
- March 1999-present
- Consultant
- Jones
Day
- Washington, District of Columbia
- Analyze the validity of mathematical models presented as evidence in
litigation. Perform statistical analysis of various data introduced in
litigation.
- September 2005-August 2010
- Associate Chair
- Department of Mathematical
Sciences
- University of Delaware
- Newark, Delaware
- Had primary responsibility for most teaching-related functions of
the department. Responsible for course scheduling and instructor
assignment for mathematical sciences courses. Served as complaint
resolution official. Approved transfers of credit and grade changes.
Supervised some instructional personnel.
- September 2001-August 2007
- Associate Professor
- Department of Mathematical
Sciences
- University of Delaware
- Newark, Delaware
- Pursued interesting questions in mathematical finance, neural
signaling in the olfactory system, and biological bimolecular
reactions. Also did modeling research in polymer skinning. Taught
(undergraduate) Analytic
Geometry
and Calculus A, Ordinary
Differential
Equations, Differential
Equations
with Linear Algebra I, and (graduate) Asymptotics
and
Perturbation Methods, Vector
Spaces, and Introduction
to
Applied
Mathematics
I and II.
- September 1997-August 2001
- Assistant Professor
- Department of Mathematical
Sciences
- University of Delaware
- Newark, Delaware
- Pursued research in polymers, biological bimolecular reactions,
shear band formation, and box office dynamics. Teach (undergraduate) Analytic
Geometry
and Calculus A and C,
Elementary
Linear
Algebra, Differential
Equations
with Linear Algebra I and II,
and (graduate) Topics
in
Differential and Integral Equations and Introduction
to
Applied Mathematics I and II.
- August 1995-July 1997
- Visiting Assistant Professor/NSF
Research Instructor
- Department of Mathematics
- University of Maryland, College Park
- College Park, Maryland
- Pursued interesting questions related to my thesis research in
polymers and explore new avenues of investigation, including
viscoelastic rod dynamics, shear band formation, and biological
bimolecular reactions. Taught (undergraduate) Introduction
to
Linear
Algebra and (undergraduate/graduate) Methods and Models in
Applied Mathematics II.
- September 1994-August 1995
- Assistant Professor of Mathematics/Courant Instructor/NSF
Research
Instructor
- Courant Institute of Mathematical
Sciences
- New York University
- New York, New York
- Pursued interesting questions related to my thesis research in
polymers and explored new avenues of investigation, including Prandtl
boundary-layer flow. Taught (undergraduate) Calculus
I and (graduate) Linear
Algebra
II.
Scholarly Funding
- Research:
- National
Science
Foundation, 2013-present
- National
Institutes of Health, 2002-07 (subcontract PI; PI: Paul
Milewski)
- National
Science
Foundation, 1999-2002
- University of
Delaware Research Foundation, 1999-2001
- Workshops:
- Institute for Mathematics and Its
Applications, Support of the Thirty-First
Annual Workshop on Problems in Industry, 2015 (co-PI)
- National
Science Foundation, Support of the Twenty-Ninth
through Thirty-Second Annual Workshop on Problems in Industry, 2013-16
(co-PI)
National
Science
Foundation, Support of the Twenty-Eighth
Annual Workshop on Problems in Industry, 2012 (co-PI)
Institute for Mathematics and Its
Applications, Support of the Twenty-Eighth
Annual Workshop on Problems in Industry, 2012 (co-PI)
- Institute for Mathematics and Its
Applications, Support of the Twenty-Third
Annual Workshop on Problems in Industry, 2007 (co-PI)
- Institute for Mathematics and Its
Applications, Support of the Twentieth
Annual Workshop on Problems in Industry, 2004 (co-PI)
- National Institute for Standards and
Technology, Support of the Sixteenth
Annual Workshop on Problems in Industry, 2000 (PI: Richard
Braun)
- National Institute for Standards and
Technology, Support of the Fifteenth
Annual Workshop on Problems in Industry, 1999 (PI: Richard
Braun)
- Postdoctoral:
- National
Science Foundation Postdoctoral Research Instructor, 1994-97
- Graduate:
- Hertz Foundation Fellow, 1993-94
- National Science Foundation Graduate Fellow, 1990-93
Presentations and Workshops
- Invited Presentations:
- Toyota-UD Applied Math Initiative Workshop for High School Teachers, University
of Delaware, July 2014
- Conference on Applied Analysis and Mathematical Biology, University
of Delaware, August 2012
- Degenerate Reaction-Diffusion Equations Arising in Polymer Diffusion
and Their Connection to Problems in Mathematical Biology (2 talks), Brunel
University, July 2008
- The
Legacy
of John Crank: Developments in Time Dependent PDEs, Diffusion and Free
Boundary Problems, Brunel University, July 2008
- Department of Mathematics and
Statistics, University of Maryland, Baltimore County, April 2008
- Department of Mathematical Sciences,
New Jersey Institute of Technology, November 2004
- Mathematical Biosciences Institute,
Ohio State University, October 2004
- Department of Mathematics and
Statistics, University of Maryland, Baltimore County, September
2004 (colloquium)
- Department of Mechanical
Engineering and Applied Mechanics , University of Pennsylvania,
September 2002
- Department of Mathematics ,
University of Wisconsin, Madison, October 2001
- Department of Mathematics and
Statistics, University of Maryland, Baltimore County, October 2000
- Biosensor Core Facility,
University of Pennsylvania, September 2000
- School of Mathematics,
Georgia Institute of Technology, January 2000
- Department of Mathematical
Sciences, University of Delaware, April 1999 (Math
Awareness Month public lecture)
- Department of Mathematics and
Statistics, University of Nebraska, January 1999 (colloquium)
- Department of Mathematical Sciences,
New Jersey Institute of Technology, September 1998
- Department of Chemical
Engineering, Drexel University, February 1998
- Department of Mathematical Sciences,
University of Cincinnati, May 1997
- Department of Mathematics and Statistics,
University of Maryland, Baltimore County, September 1996
- Minisymposia:
- AMS
Sectional Meeting #1098, Catonsville, MD, March 2014
- SIAM
Annual
Meeting, Denver, July 2009
- SIAM
Conference on Mathematics for Industry: Challenges and Frontiers,
Philadelphia, October 2007
- Joint
SIAM-SMB Conference on the Life Sciences, Raleigh, August 2006
(co-organizer)
- SIAM
Annual
Meeting, New Orleans, July 2005 (co-organizer)
- AMS Sectional
Meeting #1005, Newark, DE, April 2005 (session organizer and
additional paper)
- Fourteenth U.S.
National Congress of Theoretical and Applied Mechanics,
Blacksburg, June 2002
- SIAM
Annual
Meeting , San Diego, July 2001 (co-organizer)
- SIAM Annual Meeting, Philadelphia,
July 1993
- Contributed Papers:
- SIAM
Annual Meeting, Boston, July 2016
- SMB Annual Meeting,
Atlanta, July 2015
- SIAM
Annual Meeting, Pittsburgh, July 2010
- SIAM
Annual Meeting, San Diego, July 2001
- SIAM Annual
Meeting, Puerto Rico, July 2000
- Nonlinear Analysis 2000-->, New York, May 2000 (poster
presentation)
- Third SIAM
Conference on Mathematical Aspects of Materials Science,
Philadelphia, May 2000
- BIAsymposium, San Francisco, November 1999 (poster
presentation)
- SIAM Annual
Meeting, Toronto, July 1998 (two papers: talk
1, talk 2)
- Ninth International Coating Science and Technology Symposium, Newark,
DE, May 1998 (proceedings published; see [O10])
- SIAM
Annual Meeting, Kansas City, July 1996 (session chair)
- AIChE Annual Meeting, San
Francisco, November 1994
- SIAM
Annual Meeting, San Diego, July 1994
- Workshops resulting in reports:
- Thirty-Third
Workshop on Mathematical Problems in Industry, Newark, NJ, June
2017
- (organizing committee; proceedings published; see [O29])
- Thirty-Second
Workshop on Mathematical Problems in Industry, Durham, NC, June
2016
- (organizing committee; proceedings published; see [O28])
-
Thirty-First Annual Workshop on Problems in Industry, Newark,
DE, June 2015
- (organizing committee; proceedings published; see [O27])
- Thirtieth
Annual
Workshop on Problems in Industry, Newark, NJ, June 2014
- (organizing committee; proceedings published; see [O26])
- Twenty-Ninth Annual
Workshop on Problems in Industry, Worcester, MA, June 2013
- (organizing committee; proceedings published; see [O25])
- Pall Corporation
Industrial Study Group, Portsmouth, UK, March 2013
Twenty-Eighth Annual Workshop on Problems in Industry, Newark, DE,
June 2012 - (organizing committee; proceedings published; see [O24])
Twenty-Seventh
Annual Workshop on Problems in Industry, Newark, NJ, June 2011 - (proceedings
published; see [O23])
Twenty-Sixth Annual Workshop on Problems in Industry, Troy, NY,
June 2010 - (proceedings published; see [O22])
Twenty-Fifth
Annual Workshop on Problems in Industry, Newark, DE, June 2009 - (organizing
committee, proceedings published; see [O21])
-
Twenty-Third Annual Workshop on Problems in Industry, Newark,
DE, June 2007
- (organizing committee, proceedings published; see [O20])
- Twenty-Second Annual
Workshop on Problems in Industry, Needham, MA, June 2006
- (organizing committee, proceedings published; see [O19])
- Twenty-First Annual
Workshop on Problems in Industry, Worcester, MA, June 2005
- (proceedings published; see [O18])
- Twentieth
Annual Workshop on Problems in Industry, Newark. DE, June 2004
- (organizing committee; proceedings published; see [O17])
- Seventeenth
Annual
Workshop on Problems in Industry, Troy, NY, June 2001
- (proceedings published; see [O14])
- Sixteenth
Annual Workshop on Problems in Industry, Newark, DE, June 2000
- (organizing committee; proceedings published; see [O13])
- Fifteenth
Annual Workshop on Problems in Industry, Newark, DE, June 1999
- (organizing committee; proceedings published; see [O12])
- Fourteenth Annual Workshop on Problems in Industry, Troy, NY, June
1998
- (proceedings published; see [O11])
- Thirteenth Annual Workshop on Problems in Industry, Troy, NY, June
1997
- (proceedings published; see [O9])
- Twelfth Annual Workshop on Problems in Industry, Troy, NY, June 1996
- (proceedings published; see [O8])
- Eleventh Annual Workshop on Problems in Industry, Albuquerque, NM,
June 1995
- (proceedings published; see [O6])
Advisement
- Graduate Research:
- Ryan Evans, "A Mathematical Journey Through Optical Biosensors,"
2014-2016
- Nicholas Kaufman, Summer 2014
- Matt Zumbrum, "Extensions
for a Surface-Volume Reaction Model with Application to Optical
Biosensors," 2010-13
- Qinghua Zhu, "Pricing
Exchange
Options with Stochastic Correlations," 2006-10
- Amit Samant (co-advisor with Gilberto
Schleiniger), 2002-04
- Undergraduate Research:
- Lucas Onisk, "Multi-Site Reaction Rate Constant Evaluation", Summer
2017
- Wenbin Li, Summer 2015-2016
- "Modeling Multicomponent Reactions Through the Use of Ordinary
Differential Equations", Alyson Grassi, Summer 2014
- "Multicomponent Reactions in the BIAcore", Jessica Shearer, Summer
2013
- "Continuing Numerical Modeling for the Receptor Layer in the
BIAcore," Linsey Norris, Summer 2006
- "A Numerical Model for the Receptor Layer in the BIAcore," Ken Bell,
Summer 2004
- "A Mathematical Model of Blood Clotting," Sumanth Swaminathan,
Summer 2003-Winter 2004
- (results published; see [O16])
- "Effects of Small Receptor Density Variation in the BIAcore,"
Sumanth Swaminathan, Winter 2003
- (results published; see [J26])
- "Traveling Wave Solutions of Nonlinear Diffusion Equations," Sumanth
Swaminathan, Summer 2002
- (results published; see [J24])
- "The Effects of a Receptor Layer in the BIAcore Device," Nate Allen,
Summer 2001
- "A Nonlinear Integral Equation Arising in the IAsys Device," Seth
Jackson, Summer 2000
- (manuscript published; see [O15])
- "A Nonlinear Integral Equation Arising in Biochemical Systems," Seth
Jackson, Summer 1999
- (manuscript published; see [J22])
- Undergraduate Major:
- Undergraduate Advisor, 1997-2005
Technical Skills
- Computer Skills:
- Extensive classroom implementation of numerical analysis techniques,
including finite difference methods, iterative solvers, finite element
techniques, multigrid, and spectral methods on ordinary and partial
differential equations of all types.
- Extensive knowledge of BASIC, Maple,
Pascal, and TEX.
- Good working knowledge of C, C++, HTML, Matlab,
Qualtrics, and LaTEX.
- Familiarity with Fortran.
- Extensive knowledge of Macintosh, OpenWindows, and MS-DOS operating
systems.
- Good working knowledge of UNIX, XWindows, and Microsoft
Windows operating systems.
- Familiarity with VAX/VMS operating system.
- Languages:
- Excellent French reading comprehension and writing skills.
- Acceptable French oral communication skills.
Departmental Service
- Major Duties:
- Interim Chair, 2010-2011
- Associate Chair, 2005-2010
- Ex officio member, Advisory Committee, 2005-2011
- Organizer, Departmental Math
Awareness Month Activities, 2003-04, 2006
- Chair, Outreach Committee: 2002, Spring/Summer 2004
- Chair, Colloquium Committee: 1998-99
- Secretary, Promotion and Tenure Committee: 2015-16
- Member, Promotion and Tenure Committee: 2001-present
- Chair, Peer Review Committee: 2013, 2016-present
- Member, Peer Review Committee: 2008, 2012
- Undergraduate Research Coordinator, 2012-13
- Member, Undergraduate Committee: 1999-2000, 2001-02, 2012-13,
2017-present
- Member, Graduate Committee: Spring 2001, 2013-2017
- Member, Convocation Committee: 1998-99, 2000-01, 2002-05
- Member, Computer Technology Committee: 1999-2001
- Member, Colloquium Committee: 1997-98
- Examination Committees:
- Chair, Applied Math Candidacy Exam Committee: Winter 2002
- Member, Dissertation Defense Committee: 2000, 2003, 2006 (MEEG), 2013
- Member, Linear Algebra Preliminary Exam Committee: 2002-06, 2009,
2014, 2017, 2018
- Member, Applied Math Candidacy Exam Committee: 2000-01, 2011, 2013,
2014
- Member, PDE Candidacy Exam Committee: 1999
- French Examiner: 1999
- Course Coordinator for:
- Mathematics
302 : Fall 2002
- Mathematics
241: Fall 1998, Fall 2001, Spring 2002
- Search Committees:
- Search Committee Chair: 2014-15
- Opportunity Search Committee: 2014
- UNIDEL Postdoctoral Search Committee: 2005-10
- Probability/Topology Search Committee, 2003-04
- Applied Mathematics Search Committee: 2001-02
- Temporary Assistant Professor Search Committee: 2000-01
- Other Duties:
- Department Marshal, Commencement Exercises: 1998-2005, 2007-2011,
2013-present
- Co-Organizer, Applied Math Seminar: Spring 2001
Other Service and Awards
- College:
- Chair, Peer Review Committee, 2009
- Secretary of College Senate, 2006-07
- Nominee, President-Elect of College Senate, 2005
- Member, College Biotech Research Council, 2001-02
- University:
- Advisor, Actuaries:
Risk iS Opportunity RSO, 2015–present
- Nominee, Excellence in Undergraduate Academic Advising and Mentoring,
2016
- Member, Council on Pre-Collegiate Programs, 2007
- Nominee, Excellence in Teaching Award, 2003
- Disciplinary:
- Member, Organizing Committee,
Thirty-Third Workshop on Mathematical Problems in Industry, 2017
- Member, Organizing Committee,
Thirty-Second Workshop on Mathematical Problems in Industry, 2016
- Member, Organizing Committee, Thirty-First
Annual Workshop on Problems in Industry, 2015
- Member, Organizing Committee, Thirtieth
Annual
Workshop on Problems in Industry, 2014
- Member, Organizing Committee, Twenty-Ninth
Annual Workshop on Problems in Industry, 2013
- Member, Organizing Committee, Twenty-Eighth
Annual Workshop on Problems in Industry, 2012
- Member, Organizing Committee, Twenty-Fifth
Annual Workshop on Problems in Industry, 2009
- Member, Organizing Committee, Twenty-Fourth
Annual Workshop on Problems in Industry, 2008
- Member, Organizing Committee, Twenty-Third
Annual Workshop on Problems in Industry, 2007
- Member, Organizing Committee, Twenty-Second
Annual Workshop on Problems in Industry, 2006
- Member, Organizing Committee, Twentieth
Annual Workshop on Problems in Industry, 2004
- Member, Organizing Committee, Sixteenth
Annual Workshop on Problems in Industry, 2000
- Member, Organizing Committee, Fifteenth
Annual Workshop on Problems in Industry, 1999
- University Affiliations:
- Delaware
Biotechnology Institute
- Institute for
Financial Services Analytics
- Professional Affiliations:
- SIAM
Reviewer for:
- Biological Journals
- Biometrical
Journal
- Biophysical Journal
- European
Biophysics Journal
- Journal
of
Theoretical Biology
- Mathematical
Biosciences
- Chemical Engineering Journals
- AIChE Journal
- Journal
of
Polymer Science Part B: Polymer Physics
- Journal
of Rheology
-
Macromolecular Theory and Simulations
- Electrical Engineering Journals
- IEEE
Sensors
Journal
- General Interest Journals
- Scientific Reports
- UMBC
Review
- Mathematics Journals
- Applicable
Analysis
- Applied Mathematics
Letters
- Computers, Materials,
and Continua
- European
Journal
of Applied Mathematics
- International
Journal of Mathematics and Mathematical Sciences
- Journal of
Applied Mathematics and Physics
- Journal of
Engineering Mathematics
- Journal of Mathematical and Physical Sciences
- Journal
of
Mathematical Biology
- Mathematical
and
Computer Modelling
- Mathematical
Methods in the Applied Sciences
- Mathematical Modelling and
Numerical Analysis
- Mathematical Reviews
- Numerical
Methods
for Partial Differential Equations
- Quantitative
Finance
- SIAM Journal
on Applied Mathematics
- SIAM
Review (manuscripts and books)
- SIAM Undergraduate
Research Online
- Studies
in Applied Mathematics
- Addison-Wesley Longman
Publishing
- Arkansas
Science and Technology Authority
- Mathematics of Information
Technology and Complex Systems
- National Science Foundation
- Prentice-Hall Publishing
- Springer-Verlag Publishing
- promotion and tenure consideration (external)
- Other:
- Web-page design for non-profit corporation
Journal Publications
- [J1]
- "An Unusual Moving
Boundary Condition Arising in Anomalous Diffusion Problems." SIAM
Journal on Applied Mathematics, 55 (1995): 662-676
(with Donald
S. Cohen).
- [J2]
- "Constant Front Speed in
Weakly Diffusive Non-Fickian Systems." SIAM
Journal on Applied Mathematics, 55 (1995):
1039-1058.
- [J3]
- "The Effect of a Changing Diffusion Coefficient in Super-Case II
Polymer- Penetrant Systems." IMA
Journal
of Applied Mathematics, 55 (1995): 49-66 (with Donald
S. Cohen).
- [J4]
- "A Mathematical Model for
a Dissolving Polymer." AIChE
Journal, 41 (1995): 2345-2355 (with Donald
S. Cohen).
- [J5]
- "Non-Fickian Diffusion in
Thin Polymer Films." Journal
of Polymer Science, Part B: Polymer Physics Edition, 34
(1996): 981-997.
- [J6]
- "Perturbation Analysis of
Thomas' and Windle's Model of Case II Transport." AIChE
Journal, 42 (1996): 2025-2035 (with Christopher
J.
Durning and Donald
S. Cohen).
- [J7]
- "Viscous Boundary-Layer
Effects in Nearly Inviscid Cylindrical Flows." Nonlinearity,
10 (1997): 277-290.
- [J8]
- "Trace Element
Disequilibria and Magnesium Isotope Heterogeneity in 3655A: Evidence
for a Complex Multi-Stage Evolution of a Typical Allende Type B1 CAI."
Geochimica
et
Cosmochimica Acta, 61 (1997): 1541-1561 (with Allen
K. Kennedy et al.).
- [J9]
- "A Mathematical Model for
Trapping Skinning in Polymers." Studies
in Applied Mathematics, 99 (1997): 49-80.
- [J10]
- "Trapping Skinning in
Polymers: Theoretical Predictions." Chemical
Engineering
Communications, 166 (1998): 201-216.
- [J11]
- "Asymptotic and
Computational Analysis of Large Shear Deformations of a Thermoplastic
Material."SIAM
Journal on Applied Mathematics, 59 (1998): 700-24
(with Donald A. French).
- [J12]
- "An Asymptotic Analysis
of Polymer Desorption and Skinning." Macromolecular
Theory
and Simulations, 8 (1999): 10-14.
- [J13]
- "Skinning During
Desorption of Polymers: An Asymptotic Analysis." SIAM
Journal on Applied Mathematics, 59 (1999):
1134-1155.
- [J14]
- "Estimating Rate
Constants in a Convection-Diffusion System with a Boundary Reaction."
IMA
Journal of Applied Mathematics, 63 (1999): 89-112.
- [J15]
- "Transport Effects on
Surface-Volume Biological Reactions." Journal
of Mathematical Biology, 39 (1999): 533-561 (with Byron
Goldstein and Donald
S. Cohen).
- [J16]
- "Biochemical Reactions
on Helical Structures." SIAM
Journal on Applied Mathematics, 60 (2000):
1425-1446.
- [J17]
- "An Alternative Example
of the Method of Multiple Scales." SIAM
Review, 42 (2000): 317-332.
- [J18]
- "Surface Reaction Near a
Stagnation Point." Studies
in Applied Mathematics, 105 (2000): 1-29.
- [J19]
- "The Effect of a
Receptor Layer on the Measurement of Rate Constants." Bulletin
of Mathematical Biology, 63 (2001): 301-327.
- [J20]
- "A Spatially Nonlocal
Model for Polymer-Penetrant Diffusion." Journal
of Applied Mathematics and Physics, 52 (2001):
254-288.
- [J21]
- "A Differential Equation
Model of North American Cinematic Box-Office Dynamics." IMA
Journal of Management Mathematics, 12 (2001): 41-74
(with Ron A. Buckmire).
- [J22]
- "Testing the Validity of
the Effective Rate Constant Approximation for Surface Reaction with
Transport." Applied
Mathematics Letters, 15 (2002): 547-552 (with Seth
A. Jackson).
- [J23]
- "Desorption Overshoot in
Polymer-Penetrant Systems: Asymptotic and Computational Results."
SIAM Journal on
Applied Mathematics, 63 (2002): 98-115 (with Richard
A. Cairncross).
- [J24]
- "Traveling Waves for
Anomalous Diffusion in Polymers." Applied
Mathematics Letters, 17 (2004): 7-12 (with Sumanth Swaminathan).
- [J25]
- "Refining the
Measurement of Rate Constants in the BIAcore." Journal
of Mathematical Biology, 49 (2004): 272-292.
- [J26]
- "The Effect of Receptor
Site Nonuniformity on the Measurement of Rate Constants." Applied
Mathematics Letters, 18 (2005): 1101-1107 (with S.
Swaminathan).
- [J27]
- "A Spatially Nonlocal
Model for Polymer Desorption."
Journal of Engineering Mathematics, 53
(2005): 221-238.
- [J28]
- "Convection Effects in
the BIAcore Dextran Layer: Surface Reaction Model." Bulletin
of Mathematical Biology, 68 (2006): 627-654.
- [J29]
- "Convection Effects in
Thin Reaction Zones: Applications to BIAcore." SIAM
Journal on Applied Mathematics, 66 (2006):
1978-1997.
- [J30]
- "Steric Hindrance
Effects on Surface Reactions: Applications to BIAcore." Journal
of Mathematical Biology, 55 (2007): 517-539.
- [J31]
- "Perturbation
Approximation of Solutions of a Nonlinear Inverse Problem Arising in
Olfaction Experimentation." Journal
of Mathematical Biology, 55 (2007): 745-765 (with Donald
A. French).
- [J32]
- "Steric Hindrance
Effects in Thin Reaction Zones: Applications to BIAcore." IMA
Journal of Applied Mathematics, 72 (2007): 865-893.
- [J33]
- "Identification of
Cl(Ca) Channel Distributions in Olfactory Cilia." Mathematical
Methods in the Applied Sciences, 31
(2008): 1860-1873 (with Donald
A. French,
Dorjsuren Badamdorj, and Steven
Kleene).
- [J34]
- "The Optimal Prepayment
Strategy for Fixed Rate Mortgages." In Proceedings of the
World Congress on Engineering and Computer Science 2008. (2008):
898–903 (with D.
Xie and G.
Schleiniger)
- [J35]
- "An Asymptotic Method to
a Financial Optimization Problem." In Advances
in Machine Learning and Data Analysis, vol. 72. S. Ao, et
al., eds. New York: Springer (2009): 79-94 (with D.
Xie and G.
Schleiniger).
- [J36]
- "Characterizing
Molecular Diffusion in the Lens Capsule."
Matrix Biology, 29 (2010): 228-236 (with Brian
Danysh, et al.).
- [J37]
- "Transport Effects on
Surface Reaction Arrays: Biosensor Applications ."
Mathematical Biosciences, 230 (2011): 12-22.
- [J38]
- "Characterization of the
American Put Option Using Convexity."
Applied Mathematical Finance, 18 (2011): 353-365
(with Dejun
Xie, Gilberto
Schleiniger, and Qinghua Zhu).
- [J39]
- "Sharp Fickian Behavior
of Electrogenerated Chemiluminescence Waves in Conjugated Polymer
Films." Journal
of Physical Chemistry, Part C, 117 (2013):
6747-6751.
- [J40]
- "Wavefunction
Delocalization in Quantum Dot Arrays: An Asymptotic Analysis." Journal
of Engineering Mathematics, 81 (2013): 191-211 (with
William M. Reid and Matt
Doty).
- [J41]
- "An Application of
Matrix Theory to the Evolution of Coupled Modes." SIAM
Review, 55 (2013): 764-787 (with Joseph
Fehribach, Richard
Moore, and Colin McKinstrie).
- [J42]
- "A Mathematical Model of
Cinematic Box-Office Dynamics with Geographic Effects."
IMA Journal of Management Mathematics, 25 (2014):
233-257 (with Ron A. Buckmire
and Jacob Ortega-Gingrich).
- [J43]
- "Multiple Surface
Reactions in Arrays with Applications to Optical Biosensors."
Bulletin of Mathematical Biology, 76 (2014):
1783-1808 (with Matthew E. Zumbrum).
- [J44]
- "Improving a Fuel Cell
Assembly Process."
Mathematics-in-Industry Case Studies, 6 (2014):
22-47 (with Ibrahim Diakite, et al.).
- [J45]
- "Sharp Fickian Fronts in
Conjugated Polymer Films."
IMA Journal of Applied Mathematics, 80 (2015):
533-553.
- [J46]
- "Conformal Mapping in
Optical Biosensor Applications."
Journal of Mathematical Biology, 71 (2015): 533-550
(with Matthew E. Zumbrum).
- [J47]
- "Asymptotic Results for
a Barrier Potential Model."
European Journal of Applied Mathematics, 26 (2015):
863-886 (with
Christopher S. Raymond).
- [J48]
- "Modal Analysis of
Spatial Pattern Formation in Fused Silica under Ultraviolet
Irradiation."
Journal of the Optical Society of America B, 33
(2016): 1709-1715 (with
Richard Moore).
- [J49]
- "The Performance of the
Hot End in a Plasticating 3D Printer."
Journal of Rheology 62 (2017): 229–236 (with
Michael Mackay, et al.).
- [J50]
- "Applications of
Fractional Calculus in Solving Abel-Type Integral Equations:
Surface-Volume Reaction Problem."
Computers & Mathematics With Applications, 73
(2017): 1346–1362 (with
Ryan Evans,
Udita Katugampola).
- [J51]
- "Measuring Kinetic Rate
Constants of Multiple-Component Reactions with Optical Biosensors."
Analytical Biochemistry, 533 (2017): 41-47 (with
Ryan Evans, Wenbin Li).
- [J52]
- "Transport Effects on
Multiple-Component Reactions in Optical Biosensors." Bulletin
of Mathematical Biology, 79 (2017): 2215-41 (with
Ryan Evans).
- [J53]
- "Receptor Heterogeneity
in Optical Biosensors."
Journal of Mathematical Biology, 76 (2018): 795-816
(with Ryan Evans).
- [J54]
- "Simulation Solution to
a Two-Dimensional Mortgage Refinancing Problem."
Computational Economics, in press (with Dejun
Xie, Nan Zhang).
- [J55]
- "An Optimal Mortgage
Refinancing Strategy with Stochastic Interest Rate." Computational
Economics, in press (with Xiaoxia Wu, Dejun
Xie).
Other Publications
- [O1]
- "A Model for Venous Blood Flow in the Legs." Mathematical
Modeling: IMA Summer Program
for Graduate Students. IMA
Preprint
Series 1021 (1992): 31-54 (with Tara
Athan [Mary Brewster], et al.).
- [O2]
- "Risk Assessment for Propane Gas Leakage in Valleys." Mathematical
Modeling: IMA Summer Program
for Graduate Students. IMA
Preprint
Series 1021 (1992): 109-34 (with Tara
Athan [Mary Brewster], et al.).
- [O3]
- "Fluid Flow in a Filtering Device" Mathematical Modeling: IMA
Summer Program for Graduate Students. IMA
Preprint
Series 1021 (1992): 191-221 (with Donald
Drew, et al.).
- [O4]
- "Flow Improvement in Hydrofractured Reservoirs." Mathematical
Modeling: IMA Summer Program
for Graduate Students. IMA
Preprint
Series 1021 (1992): 269-95 (with Pat Hagan, et al.).
- [O5]
- A Model for Nonlinear
Diffusion in Polymers. Ph.D. thesis, California
Institute
of Technology, 1994.
- [O6]
- "Modeling Large Gas Release Events from 'Dry' Waste Tanks." In Proceedings
of the Eleventh Workshop on Mathematical Problems in Industry, Los
Alamos Technical Report LA-UR 95-4038 (1995) (with Tara
Athan [Mary Brewster], et al.).
- [O7]
- "Swelling and Collapse of Elastic Shells." Abstract. In Proceedings
of the Twelfth International Congress on Rheology. A. Ait-Kadi et
al, eds. Laval University Press, Quebec (1996): 343 (with Christopher
J.
Durning et al.).
- [O8]
- "Optimizing Membrane Separations of Two-Component Protein Solutions."
In Proceedings of the Twelfth Workshop on Mathematical Problems in
Industry (1996): 61-84 (with Skand Saksena, et al.).
- [O9]
- "Gas Concentration Measurements in Underground Waste Storage Tanks."
In Proceedings of the Thirteenth Workshop on Mathematical Problems
in Industry (1997) (with Tara
Athan [Mary Brewster], et al.).
- [O10]
- "Theoretical Predictions of Trapping Skinning in Polymers."
Extended abstract in Proceedings of the Ninth International Coating
Science and Technology Symposium(1998).
- [O11]
- "Thermomechanical Models of Air Gap Nucleation During Pure Metal
Solidification on Moving Molds with Periodic Surface Topographies." In Proceedings
of the Fourteenth Workshop on Mathematical Problems in Industry
(1999): 11-47 (with Louis G. Hector, Jr. et al.).
- [O12]
- "Interference Filters for Thermophotovoltaic Applications." In Proceedings
of the Fifteenth
Annual Workshop on Problems in Industry (2000) (with John
Les et al.).
- [O13]
- "Options on Baskets." In Proceedings of the Sixteenth
Workshop on Mathematical Problems in Industry (2001) (with
Pat Hagan et al.).
- [O14]
- "Multi-Name Credit Derivatives." In Proceedings of the Seventeenth
Workshop
on Mathematical Problems in Industry (2002) (with Pat Hagan
et al.).
- [O15]
- "Testing the Validity of
the Averaged Approximation for the IAsys." University of Delaware
Technical Report 2002-3 (2002) (with S. A. Jackson).
- [O16]
- "A Mathematical Model
for Blood Clotting." University of Delaware Technical Report
2004-04 (2004) (with S. Swaminathan).
- [O17]
- "Multi-Phase Flow in a
Thin Porous Material." In Proceedings of the Twentieth
Workshop on Mathematical Problems in Industry (2005) (with
Uwe Beuscher et al.).
- [O18]
- "Advanced Leak Detection."
In Proceedings of the Twenty-First
Workshop on Mathematical Problems in Industry (2006) (with
R. P. Hart and D. Reicher et al.).
- [O19]
- "Development of a
Quaternion-Based Alogrithm to Process Data in Robotics Applications."
In Proceedings of the Twenty-Second
Workshop on Mathematical Problems in Industry (2007) (with
J. Ashmore, et al.).
- [O20]
- "Characterizing
Molecular Diffusion in the Lens Capsule." In Proceedings of
the Twenty-Third Workshop
on Mathematical Problems in Industry (2008) (with M.
Duncan, et al.).
- [O21]
- "Development and
Persistence of 'Static' or 'Dead' Zones in Flows." In Proceedings
of the
Twenty-Fifth Workshop on Mathematical Problems in Industry
(2009) (with J. Abbott, et al.).
- [O22]
- "Medical Ultrasound
Imaging." In Proceedings of the Twenty-Sixth
Workshop on Mathematical Problems in Industry, (2010) (with
B. Haider, et al.).
- [O23]
- "Modeling Photon
Generation." In Proceedings of the Twenty-Seventh
Workshop on Mathematical Problems in Industry (2011) (with
C. McKinstrie, et al.).
- [O24]
- "Fuel Cell Assembly
Process Flow for High Productivity." In Proceedings of the
Twenty-Eighth Workshop on Mathematical Problems in Industry
(2012) (with R. Ramanan, et al.).
- [O25]
- "Phase Field Formulation
for Microstructure Evolution in Oxide Ceramics." In Proceedings
of the Twenty-Ninth
Workshop on Mathematical Problems in Industry (2013) (with
L. Button, et al.).
- [O26]
- "Spatial Pattern
Formation in Fused Silica Under UV Irradiation." In Proceedings
of the
Thirtieth Workshop on Mathematical Problems in Industry
(2014) (with L. Button, et al.).
- [O27]
- "Desulfurization of
Natural Gas for Fuel Cells." In Proceedings of the Thirty-First
Workshop on Mathematical Problems in Industry (2015) (with
E. Campbell, et al.).
- [O28]
- "Hybrid Programmatic TV
Markets." In Proceedings of the
Thirty-Second Workshop on Mathematical Problems in Industry
(2016) (with M. Montes de Oca, et al.).
- [O29]
- "On Characterizing and
Simulating Porous Media." In Proceedings of the Thirty-Third
Workshop on Mathematical Problems in Industry (2017) (with
Z. He, V. Venkateshwaran, et al.).
References, Teaching Portfolio
Available upon request
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