Mathematical Biology

Spreading Mechanics and Differentiation of Astrocytes During Retinal Development In embryonic development, formation of the retinal vasculature is critically dependent on prior establishment of a mesh of astrocytes. Astrocytes emerge from …

Zika Modeling The Zika virus (ZIKV) epidemic has caused an ongoing threat to global health security and spurred new investigations of the virus. Use of epidemiological models for arbovirus diseases can …

An Update on the Multi-Stage Model for Carcinogenesis The multistage model for carcinogenesis was first proposed by Armitage and Doll in 1954. There were two supporting pillars that supported the …

Soil carbon dynamics: models and questions Soil decomposition models are critical forunderstanding future climate, providing insight into a major natural source ofcarbon dioxide. Several recent models have been proposed which …

Modeling HIV persistence during suppressive therapy HIV persists in infected individuals despite prolonged antiretroviral therapy. Although the latent infection of CD4+ T cells might be a major barrier to viral eradication, …

Penalization of Singular Control Problems that Arise in Math Biology Optimal control problems applied to biological models tend to incorporate an objective function that increases quadratically with respect to the …

Modeling social dynamics: consensus/fragmentation via repeated exchange of opinions When does an opinion formation process within an interacting group lead to consensus, polarization or fragmentation? In this talk, I will …

Analysis of a model of a Zika/Dengue co-circulation We analyze a system with two vector-borne diseases (Zika and Dengue) being present. We introduce both a deterministic and a stochastic model …

Modeling the interplay between mosquito behavioral adaptation, human behavior, social economic factors and Malaria control We present a study of the interplay between mosquito behavioral adaptation, bed-nets efficacy decay and …