Grant: Discovery Grants Program - Individual
York University
$38,000.00
Towards an immuno-epidemiological framework: Tradeoffs between biological detail and mathematical complexity
FY 2024-25
Summary
Since the advent of the germ theory of disease, understanding the mechanisms of pathogen propagation and survival has formed a major branch of the natural sciences. My research program focuses on the development of an immuno-epidemiological (IE) framework that is comprehensively informed by in-host and epidemiological models of infectious diseases, and the underlying biological and mathematical simplifying assumptions of these models. In this proposed research program our overriding objective is to quantify the range, distribution, and variability of key results (both qualitative and quantitative) from these models related to applications in the health and life sciences. The primary research outcome will be a mathematically tractable and biologically relevant IE modelling framework that is exhaustive in mathematical formulation and representation of biological processes (given all simplifying assumptions). New mathematical and computational tools will result from this work, including global stability analysis and bifurcation theory, moment closure and stochastic modelling, and sensitivity analysis. The research proposed lies in the NSE domain (mathematical models and tools), with relevance to health and related life sciences.
Program
Discovery Grants Program - Individual
Recipient
Location
Ontario, Canada
Recipient Type
Academia
Type
Grant
Source
NSERC's Awards Data
As published
Application id
RGPIN-2024-06206
Name nom
Heffernan, Jane
Department département
Mathematics & Statistics
Organization id
38
Institution établissement
York University
Province en
Ontario
Province fr
Ontario
Country en
CANADA
Country fr
CANADA
Fiscal year exercice financier
2024
Competition year année de concours
2024
Award amount
38000
Program id
RGPIN
Program name en
Discovery Grants Program - Individual
Program name fr
Programme de subventions à la découverte - individuelles
Group en
DISCOVERY RESEARCH
Group fr
RECHERCHE AXÉE SUR LA DÉCOUVERTE
Committee code
1508
Committee name en
Mathematics and Statistics
Committee name fr
Mathématiques et statistique
Area of application code
405
Area of application group en
Environment
Area of application group fr
Environnement
Area of application en
Modelling and mathematical simulation of natural processes
Area of application fr
Modélisation et simulation mathématique des processus naturels
Research subject code
2957
Research subject group en
Applied mathematics
Research subject group fr
Mathématiques appliquées
Research subject en
Mathematical biology and physiology
Research subject fr
Mathématiques de la biologie et de la physiologie
Field of research list names en
Not available
Field of research list names fr
Non disponible
Socioeconomic objective list names en
Not available
Socioeconomic objective list names fr
Non disponible
Application title
Towards an immuno-epidemiological framework: Tradeoffs between biological detail and mathematical complexity
Keywords
mathematical biology; sensitivity analysis; model structure; disease model; dynamical systems; bifurcation analysis; stability; computer simulation; stochastic models; covariance
Application summary
Since the advent of the germ theory of disease, understanding the mechanisms of pathogen propagation and survival has formed a major branch of the natural sciences. My research program focuses on the development of an immuno-epidemiological (IE) framework that is comprehensively informed by in-host and epidemiological models of infectious diseases, and the underlying biological and mathematical simplifying assumptions of these models. In this proposed research program our overriding objective is to quantify the range, distribution, and variability of key results (both qualitative and quantitative) from these models related to applications in the health and life sciences. The primary research outcome will be a mathematically tractable and biologically relevant IE modelling framework that is exhaustive in mathematical formulation and representation of biological processes (given all simplifying assumptions). New mathematical and computational tools will result from this work, including global stability analysis and bifurcation theory, moment closure and stochastic modelling, and sensitivity analysis. The research proposed lies in the NSE domain (mathematical models and tools), with relevance to health and related life sciences.