Mathematical models of infectious diseases -- Consequences of underlying assumptions Mathematical models have been used to study various disease transmission dynamics and control for epidemics. Many of these studies are based on SEIR- types of compartmental models with exponentially distributed stage durations. We examine the underlying assumptions made in some of these models and present …
Stochasticity and Heterogeneity in the Aedes aegypti/Dengue Transmission System: Implications for Spread and Control of Infection The Aedes aegypti mosquito is the vector for several infections of public health concern, including dengue, chikungunya, Zika and yellow fever. The mosquito lives in close proximity to humans, typically only disperses over short distances and its population density …
Modeling rate of adaptive trait evolution using Cox–Ingersoll–Ross process: An Approximate Bayesian Computation approach Abstract: Over the past decades, the Gaussian process has been widely used to study trait evolution. In particular, two members of Gaussian processes, Brownian motion and the Ornstein-Uhlenbeck process, have been frequently applied for describing continuous trait evolution. Models have been …
Modelling environmentally transmitted pathogens Many pathogens are able to replicate or survive in abiotic environments. Disease transmission models that include environmental reservoirs and environment-to-host transmission have used a variety of functional forms and modelling frameworks without a clear connection to pathogen ecology or space and time scales. We present a conceptual framework to organize microparasites …
Transmission intervals and COVID control The spread of epidemics is structured by delay distributions, including the now-famous "serial interval" between the symptom-onset times of an infector and an infectee (often conflated with the "generation interval" between infection times). Defining these time distributions clearly, and describing how they relate to each other, and to key parameters …
Vector-borne diseases spread and control: The case of Chikungunya in French overseas territories and consequences for dissemination in mainland territory Dengue, chikungunya and Zika viruses have expanded their geographic range during recent decades and are now considered emerging threats in temperate areas. In particular autochthonous transmissions of chikungunya virus (CHIKV) have regularly been observed in …
Nonlinear impacts of climate change on dengue transmission Dengue is a re-emerging mosquito-borne disease that infects hundreds of millions each year—a burden that is expected to increase with climate change. However, the precise relationship between dengue transmission and changing temperature is nuanced: previous research has shown that warmer temperatures can increase, decrease, or not affect …
Cell packing in the notochord: morphometry, pattern, and forces The notochord, the defining feature of chordates, is a pressurized tube which actuates elongation of the chordate embryo. The zebrafish notochord consists of large vacuolated cells surrounded by a thin sheath. We characterized the patterns of the cells’ packing, and their relationship to the known regular …
Understanding Microvascular Growth through Experimental and Computational Modelling Understanding microvascular growth, similar to other physiological processes, requires identifying multiple cell, system, and environmental interactions. A challenge is identifying such dynamics when you cannot observe them using traditional experimental approaches. This presentation will highlight the impact of novel tissue engineering motivated and computational models on understanding …
Models of Vimentin Organization Under Actin-Driven Transport Intermediate filaments form an essential structural network, spread throughout the cytoplasm, and play a key role in cell mechanics, intracellular organization and molecular signaling. The maintenance of the network and its adaptation to the cell's dynamic behavior relies on several mechanisms implicating cytoskeletal crosstalk which are not fully …