My research typically involves a lead role in collaborations that span multiple fields of science and mathematics, and have included teams of up to twelve researchers. Much of my work is computational in nature and implemented in Python with various efficiency tweaks (parallel processing, GPU computation, C libraries) as needed. Some examples of my code can be found on my Github page.
Currently, my work focuses on epidemic modeling of opioid addiction, wind- and water-based movement of organisms under various behavioral regimes, pattern formation in locust swarms, and the cultural dynamics of bird song. I advise two graduate students in mathematics, with one former graduate student starting a tenure-track position in the Fall of 2020.
Past research projects include aerial dispersal of seeds and parasitoid wasps over multiple scales. In the latter case, having formulated a new mathematical model for wasp spread, I developed CUDA powered software in Python that provides meter-scale resolution results over an area nearly 20 km^2 in size. Bayesian inference is used to fit the parameters to field data.
I have also worked on the development of a savanna model that explores how savanna ecosystems are dependent upon various climatic variables and fire disturbance. Using a mathematically transparent model for water resource availability and stand structure, we demonstrated how seasonal rainfall distribution, and esp. seasonal drought, can act as the primary determinant for stand structure through soil water dynamics, with frequent fire disturbance able to reduce population from a climatically stable state.
Bernoff, Culshaw-Maurer, Everett, Hohn, Strickland, Weinburd (2020)
Agent-based and continuous models of hopper bands for the Australian plague locust: How resource consumption can mediate pulse formation and geometry. PLOS Computational Biology. Accepted.
Ozalp, Miller, Dombrowski, Braye, Dix, Pongracz, Howell, Klotsa, Pasour, Strickland (2020)
Experiments and agent based models of zooplankton movement within complex flow environments, Biomimetics, 5(1), 2.
Battista, Pearcy, Strickland (2019)
Modeling the opioid epidemic. Bulletin of Mathematical Biology, 81(7), 2258-2289. This is a post-peer-review, pre-copyedit version of an article published in Bulletin of Mathematical Biology. The final authenticated version is available online at https://doi.org/10.1007/s11538-019-00605-0.
Some press: sinews.siam.org
Battista, Strickland, Barrett, Miller (2018)
IB2d Reloaded: an updated Python and MATLAB implementation of the immersed boundary method. Mathematical Methods in the Applied Sciences, 41(18), 8455-8480.
Strickland, Kristensen, Miller (2017)
Inferring stratified parasitoid dispersal mechanisms and parameters from coarse data using mathematical and Bayesian methods, Royal Society Interface, 14, 20170005. This is a post-peer-review, pre-copyedit version of the article published in Royal Society Interface. The final version is available online at https://doi.org/10.1098/rsif.2017.0005.
Anonymous reviewer: "...the methodology is excellent and the study serves as an exemplar of the use of Bayesian methods to estimate parameters in a mechanistic mathematical model and is applicable to modelling in any field, not just dispersal."
Anonymous reviewer: "I think the paper will be interesting and useful to a broad audience of scientists across an array of fields, and fits perfectly with the aims and scope of Journal of Royal Society Interface."
Strickland, Miller, Santhanakrishnan, Hamlet, Battista, Pasour (2017)
Battista, Strickland, Miller (2017)
IB2d: An easy to use immersed boundary method in 2D, with multiple options for fiber-structure models with possible porosity, advection-diffusion, and/or artificial forcing, Bioinspiration & Biomimetics, 12(3).
Strickland, Liedloff, Cook, Dangelmayr, Shipman (2016)
The role of fire and water in driving tree dynamics in Australian savannas, Journal of Ecology, 104(3), 828-840.
Strickland, Dangelmayr, Shipman, Kumar, Stohlgren (2015)
Network spread of invasive species and infectious diseases, Ecological Modelling, 309-310, 1-9.
Strickland, Dangelmayr, Shipman (2014)
Modeling the presence probability of invasive plant species with nonlocal dispersal, Journal of Mathematical Biology 69(2), 297-294
Shipman, Faria, Strickland (2013)
Towards a continuous population model for natural language vowel shift, Journal of Theoretical Biology, 332, 123, 135
Ao Zeng: (Carnegie Mellon School of Computer Science Masters Program, 2017) Majoring in mathematics and computer science, Ao implemented novel network formation algorithms in Python. His focus is on efficient routines and data structures within a scalable, object-oriented framework for model testing.
James Zak: (KPMG, Strategic Profitability Insights group, 2018) Majoring in mathematics and mathematical decision sciences, James successfully defended his honors thesis with highest honors. His focus is on the mathematical analysis of random networks and how they compare to real networks in technological and social contexts.
Leigh Pearcy: (University of Tennessee, Knoxville Mathematics PhD Program, 2018) Majoring in mathematics and a participant in the UNC BEST program, Leigh helped create and analyze mathematical models for the opiod and heroin epidemic based on epidemiological principles and CDC data.
FORMER UNDERGRADUATE RESEARCHERS
Tricia Phillips: Tricia is a graduate student in the mathematical biology program at the University of Tennessee, Knoxville. She is building and analyzing models of opioid and heroin addiction and modeling population structure in non-lethal harvest scenarios. Tricia is set to graduate in the summer of 2020, after which she will join the mathematics department at Birmingham-Southern College!
Selected Journal Publications
Leigh Pearcy: Leigh is an NSF Graduate Research Fellow at the University of Tennessee, Knoxville. She is currently exploring the effect of stratification in susceptibility with regard to opioid and heroin addiction, and is interested in the implications of relaxing the well-mixing assumption with regard to contact-based routes of addiction.
David Elzinga: David is a mathematical biology graduate student who is conducting research in bird mobbing behavior and the drift in bird song due to environmental pressures. He has also published papers on the sylvatic plague in prairie dog towns (Natural Resource Modeling, 2020) and vaccination strategies to control white-nose syndrome in bat colonies (Ecological Modelling, 2019).
Senter, Douglas, Strickland, Thomas, Talkington, Miller, Battista
A semi-automated finite difference mesh creation method for use with immersed boundary software including IB2d and IBAMR, Bioinspiration & Biomimetics, Accepted.
Phillips, Lenhart, Strickland
A data-driven, mathematical model of the heroin and fentanyl epidemic in Tennessee. Submitted.
Phillips, Strickland, Lenhart
Lethal and nonlethal harvest of African Mahogany in Benin. In preparation.
Society for Mathematical Biology Annual Meeting 2019: Montreal, Canada
SIAM Conference on Mathematics of Planet Earth 2018
NIMBioS, Mathematical Biology Seminar 2017
Watch online! Modelling invasion at multiple scales
BIOMATH 2017: Kruger National Park, South Africa
Laura Miller, Ph.D. Lab Website (Math Physiology Lab at UNC)
Nick Battista, Ph.D. (Mathematical biologist specializing in
computational fluid dynamics. Maintains IB2d.)
Patrick Shipman, Ph.D. (Mathematical biologist specializing in pattern
NIMBioS (National Institute for Mathematical and Biological