Basic reproduction numbers for a class of reaction-diffusion epidemic models We study the basic reproduction numbers for a class of reaction-diffusion epidemic models that are developed from autonomous ODE systems. A general numerical framework is applied to compute such basic reproduction numbers; meanwhile, the numerical formulation provides useful insight into their characterizations. Using matrix analysis, …
A Network Immuno-epidemiological Model of HIV and Opioid Epidemics Severe Substance Abuse Disorder (commonly known as Addiction), and HIV individually claim many lives all over the world every year. But the spread of HIV is often due to intravenous drug usage, and drug usage by HIV positive people often lower their immunity and effectiveness of …
A dynamic model to assess human papillomavirus vaccination strategies in a heterosexual population combined with men who have sex with men Vaccination is effective in preventing human papillomavirus (HPV) infection. Who should be vaccinated and what's the best vaccine distribution strategy need more investigation. In this paper, we use a dynamic model to assess HPV …
Mathematics and the Life Sciences The close connection between mathematics and the physical sciences during the past century has been of great benefit to both. New mathematics has been inspired by problems in physics, while physics benefited from the theoretical power of mathematics in fundamental ways. The relationship between mathematics and the life sciences has …
How does interspecific host competition alter the amplification and dilution of disease? For pathogens that infect multiple host species, the loss or addition of one host species in a community can affect levels of disease in other host species. Using a 2-host, 1-pathogen epidemiological model, I explore how competition for resources between host species alters …
Wolbachia establishment and invasion in Aedes Aegypti population to suppress Zika transmission Arboviral diseases such as dengue and Zika are diseases that pose a threat to health problems globally. Traditional control methods against mosquito populations that transmit arboviral diseases should be complemented by longer lasting and larger scale methods such as the use of an …
Mathematics as a tool for data integration Recent advances in technology has led to the acquisition of multimodal biological data measuring biological phenomena at various spatiotemporal scales. In this talk, we will discuss how mathematical modeling can be used as a tool for data integration using use cases from respiratory infections, cancer biology, and psychiatry.
Predicting Individual Responses to Hormone Therapy in a Leave-One-Out Study Using Prostate-Specific Antigen Dynamics Prostate cancer (PCa) is the second leading cause of cancer death in American men, second only to lung cancer. It is typically treated with androgen deprivation therapy, which depletes the androgen that prostate cancer cells depend on for survival. Intermittent androgen …
The 3rd SCMB Annual Symposium is a free online event that will elevate and amplify the ongoing dialogue at the interface of mathematics and biology. The Symposium will host curated panels to highlight and dissect impactful interdisciplinary work from the math/bio community. Invited talks from all four NSF-Simons MathBioSys Research Centers will share compelling success …
Population-level consequences of the interaction between host stage-structure and disease Multiple life stages are a universal feature of organismal life cycles. Disease impacts life stages differently, and, in some cases, affects only a single stage in a population. Because disease outbreaks are expected to increase worldwide, understanding the population-level consequences of these stage-specific disruptions is …
