Biological field effect transistors (Bio-FETs) have shown great promise in revolutionizing diagnostic testing, enabling the development of inexpensive and portable biosensors with a very low limit of detection that are capable of providing point-of-care diagnostics within minutes. A recent biosensor design using DNA origami nanostructures has shown unique potential, as the nanostructure’s...
The maintenance of healthy immune function requires a complex set of checkpoints to promote a response to genuine threats (such as cancer or infection) while recognizing benign actors to avoid chronic systemic inflammation. This process leads to a delicate balance in which stimulatory and inhibitory receptors compete to dictate a cell’s fate. Cancer cells notoriously ramp up inhibitory...
Mammalian fertilization consists of spermatozoon motion towards an oocyte, followed by penetration of zona pellucida, the outer layer of an oocyte. Experiments reveal that glycan and enzyme kinetics, as well as advection, are important to this process despite their roles not being well understood. Mathematical models bridge the gap between theory and experimentation. I will present an...
There is a significant gap in the theoretical and experimental understanding of the time- dependent, person-specific viral response to infections and vaccinations. Such events pose considerable modeling challenges, and a mathematical characterization of antibody kinetics is crucial for tackling future questions related to herd immunity and optimal decision-making regarding vaccination policy....
Mathematical modeling and numerical simulation are essential tools for understanding disease dynamics and treatment strategies. Biological systems underlying the important tasks of disease detection, predicting transmission and treatment are inherently complex, spanning multiple spatial and temporal scales and requiring advanced computational strategies as well as deep area-specific...
