Blar i NTNU Open på forfatter "Finkelshtein, Dmitri"
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A unified framework for analysis of individual-based models in ecology and beyond
Cornell, Stephen J; Suprunenko, Yevhen F; Finkelshtein, Dmitri; Somervuo, Panu; Ovaskainen, Otso (Journal article; Peer reviewed, 2019)Individual-based models,‘IBMs’, describe naturally the dynamics of interacting organisms orsocial orfinancial agents. They are considered too complex for mathematical analysis, butcomputer simulations of them cannot give ... -
Mathematical and simulation methods for deriving extinction thresholds in spatial and stochastic models of interacting agents
Ovaskainen, Otso; Somervuo, Panu; Finkelshtein, Dmitri (Peer reviewed; Journal article, 2021)In ecology, one of the most fundamental questions relates to the persistence of populations, or conversely to the probability of their extinction. Deriving extinction thresholds and characterizing other critical phenomena ... -
Spatial cumulant models enable spatially informed treatment strategies and analysis of local interactions in cancer systems
Hamis, Sara; Somervuo, Panu; Ågren, J Arvid; Tadele, Dagim Shiferaw; Kesseli, Juha; Scott, Jacob G.; Nykter, Matti; Gerlee, Philip; Finkelshtein, Dmitri; Ovaskainen, Otso Tapio (Peer reviewed; Journal article, 2023)Theoretical and applied cancer studies that use individual-based models (IBMs) have been limited by the lack of a mathematical formulation that enables rigorous analysis of these models. However, spatial cumulant models ...