Toggle navigation
predictive modeling | application-driven math | complex systems
avolkening@purdue.edu
Alexandria Volkening
Research
Overview + gallery
Research themes:
Modeling + analysis of pattern formation
Data-driven modeling of complex social systems
Other projects in dynamical systems
Info for prospective group members
Publications
Group
Current + former students
Group news
Group photos
Teaching
Resources
Resources for students + postdocs:
General
Purdue-specific
Notes + videos
Outreach
Preprints:
B Shirman*, A Volkening.
What's math got to do with patterns in fish?
Submitted to
Frontiers for Young Minds
(intended readership: 8-11 year olds).
Supplementary website
here
.
* Asterisk denotes undergraduate or postbac students mentored
Publications:
K Mallory, JR Abrams*, A Schwartz*, MV Ciocanel, A Volkening, B Sandstede.
Influenza spread on context-specific networks lifted from interaction-based diary data
.
Royal Society Open Science
, 8(191876), 2021.
A Volkening, DF Linder, MA Porter, GA Rempala.
Forecasting elections using compartmental models of infection
.
SIAM Review
, 62(4):837-865, 2020.
Described in a
SIAM Research Nugget
(Oct. 2020)
Covered in an article in
Forbes
(Oct. 2020)
Featured in a press release by SIAM (reproduced in sources including the
California Business Journal
)
Featured in
Northwestern Now News
(reproduced in sources including
SciTechDaily
)
A Volkening.
Linking genotype, cell behavior, and phenotype: multidisciplinary perspectives with a basis in zebrafish patterns
.
Current Opinion in Genetics and Development
, 63:78-85, 2020.
A Volkening, MR Abbott*, N Chandra*, B Dubois*, F Lim*, D Sexton*, B Sandstede.
Modeling stripe formation on growing zebrafish tailfins
.
Bulletin of Mathematical Biology
, 82:56, 2020. (
arXiv copy
)
MR McGuirl, A Volkening, B Sandstede.
Topological data analysis of zebrafish patterns
.
Proceedings of the National Academy of Sciences of the USA
. 117(10):5113-5124, 2020.
Covered in an
AMS Math in the Media
column post (May 2020)
Featured in
Brown News
(reproduced in sources including
Furturity
and
Science Daily
)
Y Chen, JA Gemmer, M Silber, A Volkening.
Noise-induced tipping under periodic forcing: preferred tipping phase in a non-adiabatic forcing regime
.
Chaos
29(4):043119, 2019. (
arXiv copy
)
A Volkening, B Sandstede.
Iridophores as a source of robustness in zebrafish stripes and variability in
Danio
patterns
.
Nature Communications
9:3231, 2018.
Featured in
Ohio State News
(reproduced in sources including
Phys.org
and
UPI.com
)
Recommended by the F1000Prime program
here
A Volkening, B Sandstede.
Modelling stripe formation in zebrafish: an agent-based approach
.
Journal of the Royal Society Interface
12(112):20150812, 2015.
Selected as cover image for
Interface Volume 12, Issue 113
Featured in
Fusion News
,
Brown News
(reproduced in
Science Daily
and
Futurity
)
JL Gevertz, Z Aminzare, KA Norton, J Perez-Velazquez, A Volkening, KA Rejniak.
Emergence of Anti-Cancer Drug Resistance: Exploring the Importance of the Microenvironmental Niche via a Spatial Model
.
"Applications of Dynamical Systems in Biology and Medicine" (eds. A Radunskaya, T Jackson),
IMA Volumes in Mathematics and its Applications
, 158, Springer-Verlag: 2015. (
arXiv copy
).
Publication list on
Google Scholar
Expository articles:
B Shirman*, A Volkening.
What's math got to do with patterns on fish?
Working draft to be submitted to
Frontiers for Young Minds
(intended readership: 8-11 year olds).
HZ Brooks, Y Chen, M Feng, Y Kureh, MA Porter, A Volkening.
How to move a SIAM minisymposium online from the comfort of your home
.
DSWeb: The Dynamical Systems Web
, July 2020
A Volkening, B Sandstede.
How zebrafish get their stripes... or spots
.
SIAM News
, 53(2), 2020.
A Volkening.
How the zebrafish got its stripes
.
The Conversation
(Sept. 17, 2018).
Thesis:
A Volkening.
Modeling pattern formation on zebrafish
, May 2017.