Competitive processes in controlled cationic ring-opening polymerization of oxetane: a Lotka-Volterra predator-prey model of two growing species competing for the same resources

Hassen Bouchékif; Allan J. Amass

doi:10.1002/masy.201151015

Competitive processes in controlled cationic ring-opening polymerization of oxetane: a Lotka-Volterra predator-prey model of two growing species competing for the same resources

Hassen Bouchékif^*
, Allan J. Amass

^*Corresponding author for this work

Chemical Engineering & Applied Chemistry

Université Laurentienne
Aston University

Research output: Contribution to journal › Article › peer-review

Abstract

The activation-deactivation pseudo-equilibrium coefficient Q_t and constant K₀ (=Q_t x P_aT1,t = ([A1]x[Ox])/([T1]x[T])) as well as the factor of activation (P_aT1,t) and rate constants of elementary steps reactions that govern the increase of M_n with conversion in controlled cationic ring-opening polymerization of oxetane (Ox) in 1,4-dioxane (1,4-D) and in tetrahydropyran (THP) (i.e. cyclic ethers which have no homopolymerizability (T)) were determined using terminal-model kinetics. We show analytically that the dynamic behavior of the two growing species (A1 and T1) competing for the same resources (Ox and T) follows a Lotka-Volterra model of predator-prey interactions.

Original language	English
Pages (from-to)	112-121
Number of pages	10
Journal	Macromolecular Symposia
Volume	308
Issue number	1
DOIs	https://doi.org/10.1002/masy.201151015
Publication status	Published - Oct 2011

Keywords

kinetics
living
Lotka-Volterra
mechanism
polymerization

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10.1002/masy.201151015

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title = "Competitive processes in controlled cationic ring-opening polymerization of oxetane: a Lotka-Volterra predator-prey model of two growing species competing for the same resources",

abstract = "The activation-deactivation pseudo-equilibrium coefficient Qt and constant K0 (=Qt x PaT1,t = ([A1]x[Ox])/([T1]x[T])) as well as the factor of activation (PaT1,t) and rate constants of elementary steps reactions that govern the increase of Mn with conversion in controlled cationic ring-opening polymerization of oxetane (Ox) in 1,4-dioxane (1,4-D) and in tetrahydropyran (THP) (i.e. cyclic ethers which have no homopolymerizability (T)) were determined using terminal-model kinetics. We show analytically that the dynamic behavior of the two growing species (A1 and T1) competing for the same resources (Ox and T) follows a Lotka-Volterra model of predator-prey interactions.",

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AB - The activation-deactivation pseudo-equilibrium coefficient Qt and constant K0 (=Qt x PaT1,t = ([A1]x[Ox])/([T1]x[T])) as well as the factor of activation (PaT1,t) and rate constants of elementary steps reactions that govern the increase of Mn with conversion in controlled cationic ring-opening polymerization of oxetane (Ox) in 1,4-dioxane (1,4-D) and in tetrahydropyran (THP) (i.e. cyclic ethers which have no homopolymerizability (T)) were determined using terminal-model kinetics. We show analytically that the dynamic behavior of the two growing species (A1 and T1) competing for the same resources (Ox and T) follows a Lotka-Volterra model of predator-prey interactions.

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Competitive processes in controlled cationic ring-opening polymerization of oxetane: a Lotka-Volterra predator-prey model of two growing species competing for the same resources

Abstract

Keywords

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