Mathematical Modeling of the Hypothalamic-Pituitary-Adrenal Axis Dynamics in Rats
Autori
Stanojević, AnaMarković, Vladimir
Čupić, Željko
Maćešić, Stevan
Vukojević, Vladana
Kolar-Anić, Ljiljana
Konferencijski prilog (Objavljena verzija)
,
Faculty of Mathematics, University of Belgrade
Metapodaci
Prikaz svih podataka o dokumentuApstrakt
The hypothalamic-pituitary-adrenal (HPA) axis is a dynamic regulatory network
of biochemical reactions that integrates and synchronizes the nervous and the
endocrine systems functions at the organism level. In order to describe how this
vast network of biochemical interactions operates, we have developed a nonlinear
eleven-dimensional stoichiometric model that concisely describes key biochemical
transformations that comprise the HPA axis in rats. In a stoichiometric
model of a biochemical system, the outcomes of complex biochemical pathways
are succinctly described by stoichiometric relations. In this representation, substances
that initiate, i.e. enter a pathway are regarded to behave as reactants;
substances that are generated in a pathway are regarded to behave as products;
and the rates at which products of a pathway appear are jointly proportional
to the concentrations of the reactants. In order to derive rate constants for specific
biochemical reaction pathways, we ha...ve resorted to our recently developed
nonlinear reaction model that concisely describes biochemical transformations
in the HPA axis in humans. In this way, a mathematical framework is developed
to describe in the form of a system of ordinary differential equations (ODEs) the
integration of biochemical pathways that constitute the HPA axis on chemical kinetics
basis. This, in turn, allows us to use numerical simulations to investigate
how the underlying biochemical pathways are intertwined to give an integral
HPA axis response at the organism level to a variety of external or internal perturbators
of the HPA dynamics. Given that the HPA axis is a nonlinear dynamical
network, its response is complex and often cannot be intuitively predicted,
stoichiometric modeling can be harnessed for gaining additional insights into
dynamical functioning of this complex neuroendocrine system.
Ključne reči:
Hypothalamic-pituitary-adrenal (HPA) axis / rats / nonlinear dynamical network / system of ordinary differential equationsIzvor:
Book of Abstracts - Belgrade BioInformatics Conference 2016, BelBI 2016, 2016, 98-98Izdavač:
- Belgrade : The Bioinformatics Research Group, University of Belgrade - Faculty of Mathematics
Napomena:
- Belgrade, Serbia, June 20-24, 2016 http://alas.matf.bg.ac.rs/~websites/bioinfo/
Institucija/grupa
IHTMTY - CONF AU - Stanojević, Ana AU - Marković, Vladimir AU - Čupić, Željko AU - Maćešić, Stevan AU - Vukojević, Vladana AU - Kolar-Anić, Ljiljana PY - 2016 UR - https://cer.ihtm.bg.ac.rs/handle/123456789/4856 AB - The hypothalamic-pituitary-adrenal (HPA) axis is a dynamic regulatory network of biochemical reactions that integrates and synchronizes the nervous and the endocrine systems functions at the organism level. In order to describe how this vast network of biochemical interactions operates, we have developed a nonlinear eleven-dimensional stoichiometric model that concisely describes key biochemical transformations that comprise the HPA axis in rats. In a stoichiometric model of a biochemical system, the outcomes of complex biochemical pathways are succinctly described by stoichiometric relations. In this representation, substances that initiate, i.e. enter a pathway are regarded to behave as reactants; substances that are generated in a pathway are regarded to behave as products; and the rates at which products of a pathway appear are jointly proportional to the concentrations of the reactants. In order to derive rate constants for specific biochemical reaction pathways, we have resorted to our recently developed nonlinear reaction model that concisely describes biochemical transformations in the HPA axis in humans. In this way, a mathematical framework is developed to describe in the form of a system of ordinary differential equations (ODEs) the integration of biochemical pathways that constitute the HPA axis on chemical kinetics basis. This, in turn, allows us to use numerical simulations to investigate how the underlying biochemical pathways are intertwined to give an integral HPA axis response at the organism level to a variety of external or internal perturbators of the HPA dynamics. Given that the HPA axis is a nonlinear dynamical network, its response is complex and often cannot be intuitively predicted, stoichiometric modeling can be harnessed for gaining additional insights into dynamical functioning of this complex neuroendocrine system. PB - Belgrade : The Bioinformatics Research Group, University of Belgrade - Faculty of Mathematics C3 - Book of Abstracts - Belgrade BioInformatics Conference 2016, BelBI 2016 T1 - Mathematical Modeling of the Hypothalamic-Pituitary-Adrenal Axis Dynamics in Rats SP - 98 EP - 98 UR - https://hdl.handle.net/21.15107/rcub_cer_4856 ER -
@conference{ author = "Stanojević, Ana and Marković, Vladimir and Čupić, Željko and Maćešić, Stevan and Vukojević, Vladana and Kolar-Anić, Ljiljana", year = "2016", abstract = "The hypothalamic-pituitary-adrenal (HPA) axis is a dynamic regulatory network of biochemical reactions that integrates and synchronizes the nervous and the endocrine systems functions at the organism level. In order to describe how this vast network of biochemical interactions operates, we have developed a nonlinear eleven-dimensional stoichiometric model that concisely describes key biochemical transformations that comprise the HPA axis in rats. In a stoichiometric model of a biochemical system, the outcomes of complex biochemical pathways are succinctly described by stoichiometric relations. In this representation, substances that initiate, i.e. enter a pathway are regarded to behave as reactants; substances that are generated in a pathway are regarded to behave as products; and the rates at which products of a pathway appear are jointly proportional to the concentrations of the reactants. In order to derive rate constants for specific biochemical reaction pathways, we have resorted to our recently developed nonlinear reaction model that concisely describes biochemical transformations in the HPA axis in humans. In this way, a mathematical framework is developed to describe in the form of a system of ordinary differential equations (ODEs) the integration of biochemical pathways that constitute the HPA axis on chemical kinetics basis. This, in turn, allows us to use numerical simulations to investigate how the underlying biochemical pathways are intertwined to give an integral HPA axis response at the organism level to a variety of external or internal perturbators of the HPA dynamics. Given that the HPA axis is a nonlinear dynamical network, its response is complex and often cannot be intuitively predicted, stoichiometric modeling can be harnessed for gaining additional insights into dynamical functioning of this complex neuroendocrine system.", publisher = "Belgrade : The Bioinformatics Research Group, University of Belgrade - Faculty of Mathematics", journal = "Book of Abstracts - Belgrade BioInformatics Conference 2016, BelBI 2016", title = "Mathematical Modeling of the Hypothalamic-Pituitary-Adrenal Axis Dynamics in Rats", pages = "98-98", url = "https://hdl.handle.net/21.15107/rcub_cer_4856" }
Stanojević, A., Marković, V., Čupić, Ž., Maćešić, S., Vukojević, V.,& Kolar-Anić, L.. (2016). Mathematical Modeling of the Hypothalamic-Pituitary-Adrenal Axis Dynamics in Rats. in Book of Abstracts - Belgrade BioInformatics Conference 2016, BelBI 2016 Belgrade : The Bioinformatics Research Group, University of Belgrade - Faculty of Mathematics., 98-98. https://hdl.handle.net/21.15107/rcub_cer_4856
Stanojević A, Marković V, Čupić Ž, Maćešić S, Vukojević V, Kolar-Anić L. Mathematical Modeling of the Hypothalamic-Pituitary-Adrenal Axis Dynamics in Rats. in Book of Abstracts - Belgrade BioInformatics Conference 2016, BelBI 2016. 2016;:98-98. https://hdl.handle.net/21.15107/rcub_cer_4856 .
Stanojević, Ana, Marković, Vladimir, Čupić, Željko, Maćešić, Stevan, Vukojević, Vladana, Kolar-Anić, Ljiljana, "Mathematical Modeling of the Hypothalamic-Pituitary-Adrenal Axis Dynamics in Rats" in Book of Abstracts - Belgrade BioInformatics Conference 2016, BelBI 2016 (2016):98-98, https://hdl.handle.net/21.15107/rcub_cer_4856 .