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Article
Open AccessIntegrating Diversity, Equity, and Inclusion into Preclinical, Clinical, and Public Health Mathematical Models
Mathematical modelling applied to preclinical, clinical, and public health research is critical for our understanding of a multitude of biological principles. Biology is fundamentally heterogeneous, and mathem...
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Growing Orbs / Mingled Metabolism
Many solid tumors exhibit a striking range of diverse subtypes of cancer cells that help the tumor survive harsh circumstances such as the limited availability of nutrients, an attacking immune system or chemo...
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Article
Open AccessA mathematical model of combined CD8 T cell costimulation by 4-1BB (CD137) and OX40 (CD134) receptors
Combined agonist stimulation of the TNFR costimulatory receptors 4-1BB (CD137) and OX40(CD134) has been shown to generate supereffector CD8 T cells that clonally expand to greater levels, survive longer, and p...
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Article
Contribution of three-dimensional architecture and tumor-associated fibroblasts to hepcidin regulation in breast cancer
Hepcidin is a peptide hormone that negatively regulates iron efflux and plays an important role in controlling the growth of breast tumors. In patients with breast cancer, the combined expression of hepcidin a...
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Article
Three-Dimensional Spatiotemporal Modeling of Colon Cancer Organoids Reveals that Multimodal Control of Stem Cell Self-Renewal is a Critical Determinant of Size and Shape in Early Stages of Tumor Growth
We develop a three-dimensional multispecies mathematical model to simulate the growth of colon cancer organoids containing stem, progenitor and terminally differentiated cells, as a model of early (prevascular...
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Article
Feedback Regulation in a Cancer Stem Cell Model can Cause an Allee Effect
The exact mechanisms of spontaneous tumor remission or complete response to treatment are phenomena in oncology that are not completely understood. We use a concept from ecology, the Allee effect, to help expl...
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Article
A Hierarchical Modeling Approach to Data Analysis and Study Design in a Multi-site Experimental fMRI Study
We propose a hierarchical Bayesian model for analyzing multi-site experimental fMRI studies. Our method takes the hierarchical structure of the data (subjects are nested within sites, and there are multiple ob...
