Grant: Discovery Grants Program - Individual
St. Francis Xavier University
$16,000.00
Collective biological motion: connecting empirical and theoretical approaches
EF 2011-12
Résumé
From cells to humans, aggregates form striking collective patterns, displaying self-organized coordination, cohesion, and collective intelligence. Due to the inherent complexity in these aggregates, deducing the underlying interactions and effects that determine individual movement paths remains a challenge for most groups. However, recent technological advances in image acquisition have led to new datasets that can completely and accurately track each individual member of large collectives (even at the scale of cells), and so we are poised to answer a host of questions concerning how form relates to function of the group, how local and global information is reconciled, what precise interactions govern individual motion, and how the collective is shaped by the ecology in which it exists.
My research program uses individual-based mathematical models, coupled with empirical data of individual-based collective biological motion, to address these questions. I use data to generate statistical measures that can, in turn, be used as a blueprint for constructing and validating theoretical models; conversely, models allow formulation, exploration and testing of hypotheses to be verified by observations. Where empirical data are scarce or missing, I design experiments, and collect and analyze collective motion datasets. In one application, I have completely reconstructed trajectories of aquatic birds (surf scoters) within foraging flocks of a few hundred individuals (among the first of such detailed data sets), and used these observations to precisely infer governing interactions. Using the empirical-theoretical approach, I intend to study real groups, ranging from cell colonies to bird flocks, to look at phenomena such as phase transitions and directional information transfer, and to investigate collective behaviour in the context of biomechanics, environment, navigation, and how ecological context shapes these behaviors on evolutionary timescales.
Programme
Discovery Grants Program - Individual
Bénéficiaire
Emplacement
Nova Scotia, Canada
Type de bénéficiaire
Academia
Type
Grant
Source
NSERC's Awards Data
Tel que publié
Application id
386638-2011
Name nom
Lukeman, Ryan
Department département
Mathematics, Statistics and Computing Sciences
Organization id
83
Institution établissement
St. Francis Xavier University
Province en
Nova Scotia
Province fr
Nouvelle-Écosse
Country en
CANADA
Country fr
CANADA
Fiscal year exercice financier
2011
Competition year année de concours
2011
Award amount
16000
Program id
RGPIN
Program nane en
Discovery Grants Program - Individual
Program name fr
Programme de subventions à la découverte - individuelles
Group en
Discovery grants programs
Group fr
Programmes de subventions à 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 andphysiology
Research subject fr
Mathématiques de la biologie et de la physiologie
Partie
1
Nb partie
5
Application title
Collective biological motion: connecting empirical and theoretical approaches
Keyword
NSERC
Application summary
From cells to humans, aggregates form striking collective patterns, displaying self-organized coordination, cohesion, and collective intelligence. Due to the inherent complexity in these aggregates, deducing the underlying interactions and effects that determine individual movement paths remains a challenge for most groups. However, recent technological advances in image acquisition have led to new datasets that can completely and accurately track each individual member of large collectives (even at the scale of cells), and so we are poised to answer a host of questions concerning how form relates to function of the group, how local and global information is reconciled, what precise interactions govern individual motion, and how the collective is shaped by the ecology in which it exists.
My research program uses individual-based mathematical models, coupled with empirical data of individual-based collective biological motion, to address these questions. I use data to generate statistical measures that can, in turn, be used as a blueprint for constructing and validating theoretical models; conversely, models allow formulation, exploration and testing of hypotheses to be verified by observations. Where empirical data are scarce or missing, I design experiments, and collect and analyze collective motion datasets. In one application, I have completely reconstructed trajectories of aquatic birds (surf scoters) within foraging flocks of a few hundred individuals (among the first of such detailed data sets), and used these observations to precisely infer governing interactions. Using the empirical-theoretical approach, I intend to study real groups, ranging from cell colonies to bird flocks, to look at phenomena such as phase transitions and directional information transfer, and to investigate collective behaviour in the context of biomechanics, environment, navigation, and how ecological context shapes these behaviors on evolutionary timescales.