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Phylogenetic Diversity Indices from an Affine and Projective Viewpoint
Phylogenetic diversity indices are commonly used to rank the elements in a collection of species or populations for conservation purposes. The...
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A Lipid-Structured Model of Atherosclerosis with Macrophage Proliferation
Atherosclerotic plaques are fatty deposits that form in the walls of major arteries and are one of the major causes of heart attacks and strokes....
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Source-Sink Dynamics in a Two-Patch SI Epidemic Model with Life Stages and No Recovery from Infection
This study presents a comprehensive analysis of a two-patch, two-life stage SI model without recovery from infection, focusing on the dynamics of...
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A Diffusion-Based Approach for Simulating Forward-in-Time State-Dependent Speciation and Extinction Dynamics
We establish a general framework using a diffusion approximation to simulate forward-in-time state counts or frequencies for cladogenetic...
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Design Principles for Perfect Adaptation in Biological Networks with Nonlinear Dynamics
Establishing a map** between the emergent biological properties and the repository of network structures has been of great relevance in systems and...
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Tropical Logistic Regression Model on Space of Phylogenetic Trees
Classification of gene trees is an important task both in the analysis of multi-locus phylogenetic data, and assessment of the convergence of Markov...
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A Theoretical Comparison of Alternative Male Mating Strategies in Cephalopods and Fishes
We used computer simulations of growth, mating and death of cephalopods and fishes to explore the effect of different life-history strategies on the...
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A New Method for Low Density Distribution Modeling and Near Threatened Species: The Study Case of Plectrohyla Guatemalensis
We introduce a model that can be used for the description of the distribution of species when there is scarcity of data, based on our previous work...
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Modeling the Growth and Size Distribution of Human Pluripotent Stem Cell Clusters in Culture
Human pluripotent stem cells (hPSCs) hold promise for regenerative medicine to replace essential cells that die or become dysfunctional. In some...
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0–1 Laws for Pattern Occurrences in Phylogenetic Trees and Networks
In a recent paper, the question of determining the fraction of binary trees that contain a fixed pattern known as the snowflake was posed. We show...
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Oscillations in a Spatial Oncolytic Virus Model
Virotherapy treatment is a new and promising target therapy that selectively attacks cancer cells without harming normal cells. Mathematical models...
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Optimal Control of Collective Electrotaxis in Epithelial Monolayers
Epithelial monolayers are some of the best-studied models for collective cell migration due to their abundance in multicellular systems and their...
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Mathematical Assessment of the Role of Human Behavior Changes on SARS-CoV-2 Transmission Dynamics in the United States
The COVID-19 pandemic has not only presented a major global public health and socio-economic crisis, but has also significantly impacted human...
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Mathematical Assessment of the Role of Intervention Programs for Malaria Control
Malaria remains a global health problem despite the many attempts to control and eradicate it. There is an urgent need to understand the current...
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Dimensions of Level-1 Group-Based Phylogenetic Networks
Phylogenetic networks represent evolutionary histories of sets of taxa where horizontal evolution or hybridization has occurred. Placing a Markov...
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A Role of Effector CD\(8^{+}\) T Cells Against Circulating Tumor Cells Cloaked with Platelets: Insights from a Mathematical Model
Cancer metastasis accounts for a majority of cancer-related deaths worldwide. Metastasis occurs when the primary tumor sheds cells into the blood and...
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Evolutionary Invasion Analysis of Modern Epidemics Highlights the Context-Dependence of Virulence Evolution
Models are often employed to integrate knowledge about epidemics across scales and simulate disease dynamics. While these approaches have played a...
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Dimensional Dependence of Binding Kinetics
In the context of protein–protein binding, the dissociation constant is used to describe the affinity between two proteins. For protein–protein...
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Measles Infection Dose Responses: Insights from Mathematical Modeling
AbstractHow viral infections develop can change based on the number of viruses initially entering the body. The understanding of the impacts of...
