Rich and realistic dynamics of resource quality based population models All organisms are composed of multiple chemical elements such as nitrogen (N), phosphorus (P), and carbon (C). P is essential to build nucleic acids (DNA and RNA) and N is needed for protein production. To keep track of the mismatch between P requirement in the …
Integrative disease-drug-trial platform for Parkinson’s disease Despite the wide research on Parkinson’s disease (PD), current knowledge on how to link pathophysiological changes and clinical symptoms is still minimal. We are developing an integrative disease-drug-trial platform using different analysis approaches that serves as a quantitative link between (potential) biomarkers of disease progression and clinical scores. This …
Modeling Resistance in Oncolytic Viral Therapy Drug resistance is a common phenomenon in the treatment of cancer. As with other cancer therapies, treatment failure due to resistance also occurs for the oncolytic viral therapy (OVT). In this talk, we introduce a simple deterministic model of tumor-virus interaction to investigate OVT resistance. The free oncolytic viruses …
Structural and practical identifiability analysis of a multiscale immuno-epidemiological model We perform the identifiability analysis of a multiscale model of seasonal influenza with multiscale data. We show that the well studied target cell limited within-host model is not structurally identifiable. So, we reformulate the model and work with a scaled within-host model which is structurally …
Collective Cell Behavior in 3D Cell Assemblies—3D Printed Structures, Random Aggregates, and Perfectly Precise Arrays The remarkable differences between cells grown on plates and cells in vivo or 3D culture are well-known. At the physical level, cell shape, structure, motion, and mechanical behavior in 3D are totally different from those in the dish and are …
Multi-Scale Models of Infectious Disease Dynamics and Validating with Data The bidirectional feedback induced through population and individual-level infectious disease and host immune dynamics requires development of innovative multi-scale models. In this talk, I will introduce structured nonlinear partial differential equation models linking immunology and epidemiology, along with novel stability analysis and computational tools for …
Modelling Microtube Driven Invasion of Glioma Malignant gliomas are highly invasive brain tumors. Recent attention has focused on their capacity for network-driven invasion, whereby mitotic events can be followed by the migration of nuclei along long thin cellular protrusions, termed tumour microtubes (TM). Here I develop a mathematical model that describes this microtube-driven invasion of …
Modeling the effects of Aedes aegypti's larval environment on population and disease spread Mosquitoes vector harmful pathogens that infect millions of people every year, and developing approaches to effectively control mosquitoes is a topic of great interest. However, the success of many control measures is highly dependent upon ecological, physiological, and life history traits of …
Modeling Mesenchymal Cell Motion - Force, Speed and the Role of Focal Adhesion Lifetimes In this talk I will present a force based mathematical model of mesenchymal cell motion where adhesion sites are randomly placed and have a probabilistically determined lifespan. Numerical simulations and theoretical results will be discussed and compared to experimental data. The …
Tumor Composition and the Host Environment on Cancer Treatment Strategies The one-size-fits-all approach is not effective at treating cancer and tumor heterogeneity plays an important role in patient response. Current dogma characterizes tumor heterogeneity resulting from compounding genetic and epigenetic changes and instability, ultimately driving unfavorable outcomes for these patients. However, some cancers, including many …
