Professor of Mathematics

Department of Mathematical Sciences

University of Delaware

Newark, DE 19716-2553

Voice: (302) 831-1871

FAX: (302) 831-4511

**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

**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, 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.

**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

**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-First Annual Workshop on Problems in Industry, Newark, DE, June 2015
- (organizing committee; proceedings published; see [
**O28**]) - Thirtieth Annual Workshop on Problems in Industry, Newark, NJ, June 2014
- (organizing committee; proceedings published; see [
**O27**]) - Twenty-Ninth Annual Workshop on Problems in Industry, Worcester, MA, June 2013
- (organizing committee; proceedings published; see [
**O26**]) - 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 [
**O25**])
Twenty-Seventh
Annual Workshop on Problems in Industry, Newark, NJ, June
2011 - (proceedings published; see [
**O24**])
Twenty-Sixth
Annual
Workshop on Problems in Industry, Troy, NY, June 2010 - (proceedings
published;
see [
**O23**])
Twenty-Fifth
Annual Workshop on Problems in Industry, Newark, DE, June
2009 - (organizing committee, proceedings published; see [
**O22**]) - 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**])

**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:**- 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

**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.

**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
- Member, Peer Review Committee: 2008, 2012

- Undergraduate Research Coordinator, 2012-13

- Member, Undergraduate Committee: 1999-2000, 2001-02, 2012-13

- Member, Graduate Committee: Spring 2001, 2013-present
- 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

- 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

**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, 2015â€“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-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
- 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*- Electrical Engineering Journals
*IEEE Sensors Journal*

- General Interest Journals
*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

- [
**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**] - "
Characterizing Molecular Diffusion in the Lens Capsule."
*Matrix Biology*,**29**(2010): 228-236 (with Brian Danysh,*et al*.). - [
**J35**] - "Transport
Effects on Surface Reaction Arrays: Biosensor Applications ."
*Mathematical Biosciences*,**230**(2011): 12-22. - [
**J36**] - "Characterization
of the American Put Option Using Convexity."
*Applied Mathematical Finance*,**18**(2011): 353-365 (with Dejun Xie, Gilberto Schleiniger, and Qinghua Zhu). - [
**J37**] - "Sharp Fickian Behavior of Electrogenerated Chemiluminescence Waves
in Conjugated Polymer Films."
*Journal of Physical Chemistry, Part C*,**117**(2013): 6747-6751. - [
**J38**] - "Wavefunction
Delocalization in Quantum Dot Arrays: An Asymptotic Analysis."
*Journal of Engineering Mathematics*,**81**(2013): 191-211 (with William M. Reid and Matt Doty). - [
**J39**] - "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). - [
**J40**] - "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). - [
**J41**] - "Multiple
Surface Reactions in Arrays with Applications to Optical
Biosensors."
*Bulletin of Mathematical Biology*,**76**(2014): 1783-1808 (with Matthew E. Zumbrum).

- [
**J42**] - "Improving the Fuel Cell Assembly Process."
*Mathematics-in-Industry Case Studies*,**6**(2014): 22-47 (with Ibrahim Diakite,*et al*.). - [
**J43**] - "Sharp Fickian Fronts in Conjugated Polymer Films."
*IMA Journal of Applied Mathematics*,**80**(2015): 533-553.

- [
**J44**] - "Conformal
Mapping in Optical Biosensor Applications."
*Journal of Mathematical Biology*,**71**(2015): 533-550 (with Matthew E. Zumbrum).

- [
**J45**] - "Asymptotic
Results for a Barrier Potential Model."
*European Journal of Applied Mathematics*,**26**(2015): 863-886 (with Christopher S. Raymond).

- [
**J46**] - "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).

- [
**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**] - "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). - [
**O22**] - "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.). - [
**O23**] - "Medical
Ultrasound Imaging." In
*Proceedings of the Twenty-Sixth Workshop on Mathematical Problems in Industry*, (2010) (with B. Haider, et al.). - [
**O24**] - "Modeling Photon Generation." In
*Proceedings of the Twenty-Seventh Workshop on Mathematical Problems in Industry*(2011) (with C. McKinstrie, et al.). - [
**O25**] - "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.). - [
**O26**] - "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.). - [
**O27**] - "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.). - [
**O28**] - "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.).

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