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Undergraduate Research Projects in Mathematical Biology

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This folder contains descriptions for projects that are available for Truman students who are interested in working at the intersection of the mathematical and life sciences. The folder also contains support material for those projects (e.g., documents, images).

Gene Expression and Visualization Application (GENEVA)
This team of computer scientists, molecular geneticists, and cell biologists are collaborating in an effort to annotate genes in the corn (maize) shoot apical meristem.
Quantitative Identification of Missouri Bat via Acoustic Surveys
Identifying bats to species often requires close inspection of the bat, but this team is working on improving a method for identifying bat species in the field that uses acoustic signatures of the bat's search phase echolocation calls.
The effects of prescribed burning in grasslands on the population structure of predatory beetles: a spatial modeling approach
The spatial structure of populations and communities has become increasingly important to ecologists because it provides insights into ecological patterns and processes. For example, spatial structure influences parasitism rates in forests, the occurrence of generalist and specialist insect herbivores in agricultural landscapes, and the impact of grazing in desert grasslands. From a practical standpoint, understanding the spatial structure of a population can indicate the proper sampling scheme and statistical protocol.
Plastron respiration in ticks
Equipped with the physiological equivalent of SCUBA gear, tick's are able to survive being submerged in water for long periods of times. This group aims at creating mathematical models that relate the geometric structure of this apparatus to tick survival time.
Development of habitat suitability models to test how spatial scale influences predictions of occurrence patterns of the federally threatened, rare plant species, Missouri bladder-pod Lesquerella filiformis
Statistics, geographic information systems, and a rich data set (made richer by annual field work) help this group to shed light on issues surrounding the conservation of the Missouri bladder-pod.
Aerodynamic features of saccate pollen: Evolutionary implications for wind-pollinated plants
How do the relative size, density, shape, and suface texture of a pollen grain affect how fast it falls through the air? Using electron microscopy, fluid dynamics, and computer simulation, this group hopes to find some answers.
Image Analytic and Mathematical Modeling of the Structure and Dynamics of Biological Tissues
The proposed project has three goals. The first is to develop computational tools for image analysis that will partially automate the acquisition of quantitative data from prepared slide images. The second is to develop mathematical models of the two biological systems based on the acquired data which explain the observed behaviors and predict the effects of external treatments on the systems. The third goal is to modify the treatments of the biological systems based on feedback from the models, thus increasing our understanding of the underlying biological processes.
Determining gravitropic sensitivity: a mathematical approach
A botanist and a computationally inclined mathematician are investigating how best to use digital images to measure the response of a growing root to the effects of gravity.
A GGH Model of the Four-Cell Stage Caenorhabditis elegans Embryo
 
A 4-cell C. elegans embryo
 
Unveiling the Past: Analysis of Evolutionary and Demographic History
A computational biologist and a mathematician use phylogenetics to study the influence geography exerts on way organism travel.
Statistics and Phylogenetic Community Ecology
An ecologist and a statistican aim to improve the statistical tools available in phylogenetic community ecology. They will start their work by focusing on katydids (Orthoptera: Tettigoniidae).
Graph theoretic modeling of the population dynamics of Missouri bladderpod (Lesquerella filiformis)
An ecologist and a mathematician aim to create models for population for the engandered Missouri bladder pod that take a graph theoretic approach.
Encounter filters that determine host preference in ticks
 

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This material is based upon work supported by the National Science Foundation's Interdisciplinary Training for Undergraduates in Biology and Mathematics program under Grant No. 0436348, "Research-focused Learning Communities in Mathematical Biology," and Grant No. 0337769, "Mathematical Biology Initiative." Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.