A5076299939- Genetics, Bioinformatics, and Biomedical Research
- Groundwater flow and contamination studies
- Evolution and Genetic Dynamics
- Mathematical and Theoretical Epidemiology and Ecology Models
- COVID-19 epidemiological studies
- Gene Regulatory Network Analysis
- Plant nutrient uptake and metabolism
- Hydraulic Fracturing and Reservoir Analysis
- Ecosystem dynamics and resilience
- Physiological and biochemical adaptations
- SARS-CoV-2 and COVID-19 Research
- Plant and animal studies
- Animal Ecology and Behavior Studies
- Ecology and Vegetation Dynamics Studies
- Experimental Learning in Engineering
- Combustion and flame dynamics
- Differential Equations and Numerical Methods
- Advanced Thermodynamics and Statistical Mechanics
- Geophysical and Geoelectrical Methods
- Plant Water Relations and Carbon Dynamics
- Statistical Methods and Bayesian Inference
- Plant responses to water stress
- Groundwater and Isotope Geochemistry
- Particle Dynamics in Fluid Flows
- Escherichia coli research studies
University of Nebraska–Lincoln
2014-2025
Iowa State University
2013
Rensselaer Polytechnic Institute
1991
<p>We develop a mechanistic model that classifies individuals both in terms of epidemiological status (SIR) and vaccination attitude (Willing or Unwilling/Unable), with the goal discovering how disease spread is influenced by changing opinions about vaccination. Analysis identifies existence stability criteria for disease-free endemic equilibria. The analytical results, supported numerical simulations, show changes induced prevalence can destabilize equilibria, resulting limit cycles.</p>
Abstract Trees grow by vertically extending their stems, so accurate stem hydraulic models are fundamental to understanding the challenges faced tall trees. Using a literature survey, we showed that many tree species exhibit continuous vertical variation in traits. To examine effects of this on function, developed spatially explicit, analytical water transport model for stems. Our allows Huber ratio, stem‐saturated conductivity, pressure at 50% loss leaf area, and transpiration rate vary...
Decomposition kinetics are fundamental for quantifying carbon and nutrient cycling in terrestrial aquatic ecosystems. Several theories have been proposed to construct process-based laws, but most of these do not consider that microbial decomposers can adapt environmental conditions, thereby modulating decomposition. Starting from the assumption a homogeneous community maximizes its growth rate over period decomposition, we formalize decomposition as an optimal control problem where is...
<p>Local stability analysis is an important tool in the study of dynamical systems. When goal to determine effect parameter values on stability, it necessary perform without explicit values. For systems with three components, usual method finding characteristic polynomial as $ \det(J-\lambda I) and applying Routh-Hurwitz conditions reasonably efficient. larger four six impractical, calculations become too messy. In epidemiological models, there often a very small that appears ratio...
A theory of dipole flow is developed to model induced by a vertical circulation well consisting injection and extraction chambers in single borehole. Included the are an analytical description kinematic structure around drawdown chambers. Using Stokes' stream function, simple criteria derived determine region intensive recirculation. This extends (from center) approximately five distances between chamber centers radial direction two both directions. The scale does not depend on anisotropy...
Despite widespread calls for the incorporation of mathematical modeling into undergraduate biology curriculum, there is lack a common understanding around definition modeling, which inhibits progress. In this paper, we extend "Rule Four," initially used in calculus reform efforts, to framework models and that inclusive varying disciplinary definitions each. This unifying allows us both build on strengths each discipline its students bring, but also identify gaps activities practiced by...
Abstract The response of a premixed laminar flame lo small perturbations in pressure, with characteristic times comparable to the natural time scale flame, is studied within coniext Near-Equidif-fusional Flame (NEF) theory. main emphasis on extinction. It found that dynamic variations order reciprocal activation energy, have substantial influence burning rate, and may even cause it drop zero (extinction). This contrast an earlier study due Peters Ludford, which considered only slow concluded...
Abstract Climate change is having dramatic effects on the diversity and distribution of species. Many these are mediated by how an organism’s physiological patterns resource allocation translate into fitness through growth, survival reproduction. Empirically, challenging to measure directly so has often been approached using mathematical models, such as Dynamic Energy Budget (DEB) models. The fact that all plants require a very similar set exogenous resources, namely light, water nutrients,...
A Brief Summary of Calculus.- Mathematical Modeling.- Probability Distributions.- Working with Probability.- Dynamics Single Populations.- Discrete Dynamical Systems.- Continuous Index.
The COVID-19 pandemic has made mathematical epidemiology a topic of critical importance, providing mathematics educators with an unparalleled opportunity. This opportunity is accompanied by challenge: how do educators, some whom have little personal experience modeling, teach to their students in courses ranging from precalculus differential equations, and so way that builds understanding epidemic disease dynamics as well methods? We address this issue collection materials allow conduct...
Dynamic energy budget models are the most ambitious of resource allocation in biology, with many practitioners claiming that they apply to all organisms only a few changes parameters. Because this generality, make very broad predictions about how function. There is extensive literature on topic, but some implications nevertheless remain largely unexplored. In paper, we present careful derivation basic version model from elementary biological assumptions, and identify important for growth,...
Dynamic energy budget models are the most ambitious of resource allocation in biology, with many practitioners claiming that they apply to all organisms only a few changes parameters. Because this generality, make very broad predictions about how function. There is extensive literature on topic, but some implications nevertheless remain largely unexplored. In paper, we present careful derivation basic version model from elementary biological assumptions, and identify important for growth,...
Abstract The simplest age-structured population models update a vector via multiplication by matrix. These linear offer an opportunity to introduce mathematical modeling students of limited sophistication and background. We begin with detailed discussion modeling, particularly in biological context. then describe Bugbox-population, virtual insect laboratory that allows make observations collect quantitative data easily, thereby learning the context its use scientific research. Creating model...