Jelić, Smiljana

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  • Jelić, Smiljana (8)
Projects

Author's Bibliography

Modelling the hypothalamic-pituitaryadrenal (hpa) axis response to external perturbations with cortisol

Marković, Vladimir; Jelić, Smiljana; Vukojević, Vesna; Kolar-Anić, Ljiljana

(Society of Physical Chemists of Serbia, 2010)

TY  - CONF
AU  - Marković, Vladimir
AU  - Jelić, Smiljana
AU  - Vukojević, Vesna
AU  - Kolar-Anić, Ljiljana
PY  - 2010
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/9294
AB  - Glucocorticoids, the end products of the Hypothalamic-Pituitary-Adrenal (HPA)
axis, are widely used as anti-inflammatory and immunosuppressive drugs.
However, the feed-back effects of externally induced glucocorticoids on the HPA
axis activity remain widely unknown. In this study, we use numerical simulations
to investigate changes in the HPA axis activity caused by externally introduced
cortisol. We emulate the basal HPA activity using a stoichiometric model of the
HPA axis, and perturb its dynamics by abruptly changing cortisol levels during the
course of numerical integration, thereby mimicking cortisol increase under
treatment. Our study shows that the HPA axis activity is susceptible to
perturbations by cortisol and that external cortisol pulses elicit different responses,
depending on the dose and the time of cortisol introduction.
PB  - Society of Physical Chemists of Serbia
C3  - Physical chemistry 2010 : 10th international conference on fundamental and applied aspects of physical chemistry
T1  - Modelling the hypothalamic-pituitaryadrenal (hpa) axis response to external perturbations with cortisol
UR  - https://hdl.handle.net/21.15107/rcub_vinar_9294
ER  - 
@conference{
author = "Marković, Vladimir and Jelić, Smiljana and Vukojević, Vesna and Kolar-Anić, Ljiljana",
year = "2010",
abstract = "Glucocorticoids, the end products of the Hypothalamic-Pituitary-Adrenal (HPA)
axis, are widely used as anti-inflammatory and immunosuppressive drugs.
However, the feed-back effects of externally induced glucocorticoids on the HPA
axis activity remain widely unknown. In this study, we use numerical simulations
to investigate changes in the HPA axis activity caused by externally introduced
cortisol. We emulate the basal HPA activity using a stoichiometric model of the
HPA axis, and perturb its dynamics by abruptly changing cortisol levels during the
course of numerical integration, thereby mimicking cortisol increase under
treatment. Our study shows that the HPA axis activity is susceptible to
perturbations by cortisol and that external cortisol pulses elicit different responses,
depending on the dose and the time of cortisol introduction.",
publisher = "Society of Physical Chemists of Serbia",
journal = "Physical chemistry 2010 : 10th international conference on fundamental and applied aspects of physical chemistry",
title = "Modelling the hypothalamic-pituitaryadrenal (hpa) axis response to external perturbations with cortisol",
url = "https://hdl.handle.net/21.15107/rcub_vinar_9294"
}
Marković, V., Jelić, S., Vukojević, V.,& Kolar-Anić, L.. (2010). Modelling the hypothalamic-pituitaryadrenal (hpa) axis response to external perturbations with cortisol. in Physical chemistry 2010 : 10th international conference on fundamental and applied aspects of physical chemistry
Society of Physical Chemists of Serbia..
https://hdl.handle.net/21.15107/rcub_vinar_9294
Marković V, Jelić S, Vukojević V, Kolar-Anić L. Modelling the hypothalamic-pituitaryadrenal (hpa) axis response to external perturbations with cortisol. in Physical chemistry 2010 : 10th international conference on fundamental and applied aspects of physical chemistry. 2010;.
https://hdl.handle.net/21.15107/rcub_vinar_9294 .
Marković, Vladimir, Jelić, Smiljana, Vukojević, Vesna, Kolar-Anić, Ljiljana, "Modelling the hypothalamic-pituitaryadrenal (hpa) axis response to external perturbations with cortisol" in Physical chemistry 2010 : 10th international conference on fundamental and applied aspects of physical chemistry (2010),
https://hdl.handle.net/21.15107/rcub_vinar_9294 .

Predictive Modeling of the Hypothalamic-Pituitary-Adrenal (HPA) Function. Dynamic Systems Theory Approach by Stoichiometric Network Analysis and Quenching Small Amplitude Oscillations

Jelić, Smiljana; Čupić, Željko; Kolar-Anić, Ljiljana; Vukojević, Vladana

(2009)

TY  - JOUR
AU  - Jelić, Smiljana
AU  - Čupić, Željko
AU  - Kolar-Anić, Ljiljana
AU  - Vukojević, Vladana
PY  - 2009
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/3974
AB  - Two methods for dynamic systems analysis, Stoichiometric Network Analysis (SNA) and Quenching of Small Amplitude Oscillations (QA), are used to study the behaviour of a vital biological system. Both methods use geometric approaches for the study of complex reaction systems. In SNA, methods based on convex polytopes geometry are applied for stability analysis and optimization of reaction networks. QA relies on a geometric representation of the concentration phase space, introduces the concept of manifolds and the singular perturbation theory to study the dynamics of complex processes. The analyzed system, the Hypothalamic-Pituitary-Adrenal (HPA) axis, as a major constituent of the neuroendocrine system has a critical role in integrating biological responses in basal conditions and during stress. Self-regulation in the HPA system was modeled through a positive and negative feedback effect of cortisol. A systematically reduced low-dimensional model of HPA activity in humans was fine-tuned by SNA, until quantitative agreement with experimental findings was achieved. By QA, we revealed an important dynamic regulatory mechanism that is a natural consequence of the intrinsic rhythmicity of the considered system.
T2  - International Journal of Nonlinear Sciences and Numerical Simulation
T1  - Predictive Modeling of the Hypothalamic-Pituitary-Adrenal (HPA) Function. Dynamic Systems Theory Approach by Stoichiometric Network Analysis and Quenching Small Amplitude Oscillations
VL  - 10
IS  - 11-12
SP  - 1451
EP  - 1472
UR  - https://hdl.handle.net/21.15107/rcub_vinar_3974
ER  - 
@article{
author = "Jelić, Smiljana and Čupić, Željko and Kolar-Anić, Ljiljana and Vukojević, Vladana",
year = "2009",
abstract = "Two methods for dynamic systems analysis, Stoichiometric Network Analysis (SNA) and Quenching of Small Amplitude Oscillations (QA), are used to study the behaviour of a vital biological system. Both methods use geometric approaches for the study of complex reaction systems. In SNA, methods based on convex polytopes geometry are applied for stability analysis and optimization of reaction networks. QA relies on a geometric representation of the concentration phase space, introduces the concept of manifolds and the singular perturbation theory to study the dynamics of complex processes. The analyzed system, the Hypothalamic-Pituitary-Adrenal (HPA) axis, as a major constituent of the neuroendocrine system has a critical role in integrating biological responses in basal conditions and during stress. Self-regulation in the HPA system was modeled through a positive and negative feedback effect of cortisol. A systematically reduced low-dimensional model of HPA activity in humans was fine-tuned by SNA, until quantitative agreement with experimental findings was achieved. By QA, we revealed an important dynamic regulatory mechanism that is a natural consequence of the intrinsic rhythmicity of the considered system.",
journal = "International Journal of Nonlinear Sciences and Numerical Simulation",
title = "Predictive Modeling of the Hypothalamic-Pituitary-Adrenal (HPA) Function. Dynamic Systems Theory Approach by Stoichiometric Network Analysis and Quenching Small Amplitude Oscillations",
volume = "10",
number = "11-12",
pages = "1451-1472",
url = "https://hdl.handle.net/21.15107/rcub_vinar_3974"
}
Jelić, S., Čupić, Ž., Kolar-Anić, L.,& Vukojević, V.. (2009). Predictive Modeling of the Hypothalamic-Pituitary-Adrenal (HPA) Function. Dynamic Systems Theory Approach by Stoichiometric Network Analysis and Quenching Small Amplitude Oscillations. in International Journal of Nonlinear Sciences and Numerical Simulation, 10(11-12), 1451-1472.
https://hdl.handle.net/21.15107/rcub_vinar_3974
Jelić S, Čupić Ž, Kolar-Anić L, Vukojević V. Predictive Modeling of the Hypothalamic-Pituitary-Adrenal (HPA) Function. Dynamic Systems Theory Approach by Stoichiometric Network Analysis and Quenching Small Amplitude Oscillations. in International Journal of Nonlinear Sciences and Numerical Simulation. 2009;10(11-12):1451-1472.
https://hdl.handle.net/21.15107/rcub_vinar_3974 .
Jelić, Smiljana, Čupić, Željko, Kolar-Anić, Ljiljana, Vukojević, Vladana, "Predictive Modeling of the Hypothalamic-Pituitary-Adrenal (HPA) Function. Dynamic Systems Theory Approach by Stoichiometric Network Analysis and Quenching Small Amplitude Oscillations" in International Journal of Nonlinear Sciences and Numerical Simulation, 10, no. 11-12 (2009):1451-1472,
https://hdl.handle.net/21.15107/rcub_vinar_3974 .
11

Influence of the form of the periodic function that describes the circadian rhythm of the hpa system activity

Jelić, Smiljana; Čupić, Željko; Kolar-Anić, Ljiljana

(Society of Physical Chemists of Serbia, 2006)

TY  - CONF
AU  - Jelić, Smiljana
AU  - Čupić, Željko
AU  - Kolar-Anić, Ljiljana
PY  - 2006
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/9416
AB  - The influence of the form of the periodic function that describes the circadian rhythm on the hypothalamic-pituitary-adrenal (HPA) system self-regulatory activity in humans is discussed. It was found that the HPA system is very sensitive to the choice of this function since it moderates the concentration of all species that are included in the model, as well as the form of ultradian pulses.
PB  - Society of Physical Chemists of Serbia
C3  - Physical chemistry 2006: 8th international conference on fundemental and applied aspract of physical chemistry
T1  - Influence of the form of the periodic function that describes the circadian rhythm of the hpa system activity
SP  - 264
EP  - 266
UR  - https://hdl.handle.net/21.15107/rcub_vinar_9416
ER  - 
@conference{
author = "Jelić, Smiljana and Čupić, Željko and Kolar-Anić, Ljiljana",
year = "2006",
abstract = "The influence of the form of the periodic function that describes the circadian rhythm on the hypothalamic-pituitary-adrenal (HPA) system self-regulatory activity in humans is discussed. It was found that the HPA system is very sensitive to the choice of this function since it moderates the concentration of all species that are included in the model, as well as the form of ultradian pulses.",
publisher = "Society of Physical Chemists of Serbia",
journal = "Physical chemistry 2006: 8th international conference on fundemental and applied aspract of physical chemistry",
title = "Influence of the form of the periodic function that describes the circadian rhythm of the hpa system activity",
pages = "264-266",
url = "https://hdl.handle.net/21.15107/rcub_vinar_9416"
}
Jelić, S., Čupić, Ž.,& Kolar-Anić, L.. (2006). Influence of the form of the periodic function that describes the circadian rhythm of the hpa system activity. in Physical chemistry 2006: 8th international conference on fundemental and applied aspract of physical chemistry
Society of Physical Chemists of Serbia., 264-266.
https://hdl.handle.net/21.15107/rcub_vinar_9416
Jelić S, Čupić Ž, Kolar-Anić L. Influence of the form of the periodic function that describes the circadian rhythm of the hpa system activity. in Physical chemistry 2006: 8th international conference on fundemental and applied aspract of physical chemistry. 2006;:264-266.
https://hdl.handle.net/21.15107/rcub_vinar_9416 .
Jelić, Smiljana, Čupić, Željko, Kolar-Anić, Ljiljana, "Influence of the form of the periodic function that describes the circadian rhythm of the hpa system activity" in Physical chemistry 2006: 8th international conference on fundemental and applied aspract of physical chemistry (2006):264-266,
https://hdl.handle.net/21.15107/rcub_vinar_9416 .

Singularity theory approach apllied to fourdimensional model of the hypothalamic-pituitaryadrenal system activity

Jelić, Smiljana

(Society of Physical Chemists of Serbia, 2006)

TY  - CONF
AU  - Jelić, Smiljana
PY  - 2006
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/9417
AB  - The HPA system is a complex neuroendocrine system whose main purpose is to regulate wide variety of bodily processes, under basal physiological conditions and during stress, by regulating the plasma levels of corticosteroids secreted from adrenal glands. In this paper, we apply the singularity theory approach to an initial model of this system, which we have previously published.
PB  - Society of Physical Chemists of Serbia
C3  - Physical chemistry 2006: 8th international conference on fundemental and applied aspract of physical chemistry
T1  - Singularity theory approach apllied to fourdimensional model of the hypothalamic-pituitaryadrenal system activity
SP  - 267
EP  - 269
UR  - https://hdl.handle.net/21.15107/rcub_vinar_9417
ER  - 
@conference{
author = "Jelić, Smiljana",
year = "2006",
abstract = "The HPA system is a complex neuroendocrine system whose main purpose is to regulate wide variety of bodily processes, under basal physiological conditions and during stress, by regulating the plasma levels of corticosteroids secreted from adrenal glands. In this paper, we apply the singularity theory approach to an initial model of this system, which we have previously published.",
publisher = "Society of Physical Chemists of Serbia",
journal = "Physical chemistry 2006: 8th international conference on fundemental and applied aspract of physical chemistry",
title = "Singularity theory approach apllied to fourdimensional model of the hypothalamic-pituitaryadrenal system activity",
pages = "267-269",
url = "https://hdl.handle.net/21.15107/rcub_vinar_9417"
}
Jelić, S.. (2006). Singularity theory approach apllied to fourdimensional model of the hypothalamic-pituitaryadrenal system activity. in Physical chemistry 2006: 8th international conference on fundemental and applied aspract of physical chemistry
Society of Physical Chemists of Serbia., 267-269.
https://hdl.handle.net/21.15107/rcub_vinar_9417
Jelić S. Singularity theory approach apllied to fourdimensional model of the hypothalamic-pituitaryadrenal system activity. in Physical chemistry 2006: 8th international conference on fundemental and applied aspract of physical chemistry. 2006;:267-269.
https://hdl.handle.net/21.15107/rcub_vinar_9417 .
Jelić, Smiljana, "Singularity theory approach apllied to fourdimensional model of the hypothalamic-pituitaryadrenal system activity" in Physical chemistry 2006: 8th international conference on fundemental and applied aspract of physical chemistry (2006):267-269,
https://hdl.handle.net/21.15107/rcub_vinar_9417 .

Stability of a general delay differential model of the hypothalamo-pituitary-adrenocortical system

Savić, Danka A.; Jelić, Smiljana; Buric, Nikola

(2006)

TY  - JOUR
AU  - Savić, Danka A.
AU  - Jelić, Smiljana
AU  - Buric, Nikola
PY  - 2006
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/3139
AB  - Most of the systems in an organism (human included) function in a regular daily rhythm. Hypothalamo-pituitary-adrenocortical (HPA) axis, although mostly known for its role in stress response, probably has a role in conveying rhythmic signals from the major pacemaker, suprachiazmatic nucleus (SCN), to the periphery. A general qualitative nonphenomenological mathematical model of the HPA axis is constructed and its dynamics is examined using linear stability analysis and Roushes theorem. The results show that this system is asymptotically stable, i.e. it does not generate circadian oscillations, but only responds to the external pacemaker.
T2  - International Journal of Bifurcation and Chaos
T1  - Stability of a general delay differential model of the hypothalamo-pituitary-adrenocortical system
VL  - 16
IS  - 10
SP  - 3079
EP  - 3085
DO  - 10.1142/S0218127406016665
ER  - 
@article{
author = "Savić, Danka A. and Jelić, Smiljana and Buric, Nikola",
year = "2006",
abstract = "Most of the systems in an organism (human included) function in a regular daily rhythm. Hypothalamo-pituitary-adrenocortical (HPA) axis, although mostly known for its role in stress response, probably has a role in conveying rhythmic signals from the major pacemaker, suprachiazmatic nucleus (SCN), to the periphery. A general qualitative nonphenomenological mathematical model of the HPA axis is constructed and its dynamics is examined using linear stability analysis and Roushes theorem. The results show that this system is asymptotically stable, i.e. it does not generate circadian oscillations, but only responds to the external pacemaker.",
journal = "International Journal of Bifurcation and Chaos",
title = "Stability of a general delay differential model of the hypothalamo-pituitary-adrenocortical system",
volume = "16",
number = "10",
pages = "3079-3085",
doi = "10.1142/S0218127406016665"
}
Savić, D. A., Jelić, S.,& Buric, N.. (2006). Stability of a general delay differential model of the hypothalamo-pituitary-adrenocortical system. in International Journal of Bifurcation and Chaos, 16(10), 3079-3085.
https://doi.org/10.1142/S0218127406016665
Savić DA, Jelić S, Buric N. Stability of a general delay differential model of the hypothalamo-pituitary-adrenocortical system. in International Journal of Bifurcation and Chaos. 2006;16(10):3079-3085.
doi:10.1142/S0218127406016665 .
Savić, Danka A., Jelić, Smiljana, Buric, Nikola, "Stability of a general delay differential model of the hypothalamo-pituitary-adrenocortical system" in International Journal of Bifurcation and Chaos, 16, no. 10 (2006):3079-3085,
https://doi.org/10.1142/S0218127406016665 . .
15
13
14

A mathematical model of the hypothalamo-pituitary-adrenocortical system and its stability analysis

Savić, Danka A.; Jelić, Smiljana

(2005)

TY  - JOUR
AU  - Savić, Danka A.
AU  - Jelić, Smiljana
PY  - 2005
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/2898
AB  - It is commonly assumed that the hypothalamo-pituitary-adrenocorticat (HPA) axis generates oscillations, because a regular daily rhythm of its component hormones is observed. We offer another plausible explanation of the origin of its circadian oscillations: HPA just responds to an independent external pacemaker (from the suprachiazmatic nucleus, SCN). Five versions (with and without time delay) of a qualitative non-phenomenological mathematical model of the HPA axis as a feedback mechanism are constructed wherein all the terms in the equations are introduced according to the rules of chemical kinetics, i.e. are physicochemically interpretable. The dynamics of the HPA axis model was examined using linear stability analysis. The results show stability of this system, meaning that it does not generate diurnal oscillations. Computer simulation based on this model shows oscillations that are systems response to an external pulsing activator (SCN) implying that the observed time-periodic pattern does not have to be an intrinsic property of the HPA axis. (c) 2005 Elsevier Ltd. All rights reserved.
T2  - Chaos, Solitons and Fractals
T1  - A mathematical model of the hypothalamo-pituitary-adrenocortical system and its stability analysis
VL  - 26
IS  - 2
SP  - 427
EP  - 436
DO  - 10.1016/j.chaos.2005.01.013
ER  - 
@article{
author = "Savić, Danka A. and Jelić, Smiljana",
year = "2005",
abstract = "It is commonly assumed that the hypothalamo-pituitary-adrenocorticat (HPA) axis generates oscillations, because a regular daily rhythm of its component hormones is observed. We offer another plausible explanation of the origin of its circadian oscillations: HPA just responds to an independent external pacemaker (from the suprachiazmatic nucleus, SCN). Five versions (with and without time delay) of a qualitative non-phenomenological mathematical model of the HPA axis as a feedback mechanism are constructed wherein all the terms in the equations are introduced according to the rules of chemical kinetics, i.e. are physicochemically interpretable. The dynamics of the HPA axis model was examined using linear stability analysis. The results show stability of this system, meaning that it does not generate diurnal oscillations. Computer simulation based on this model shows oscillations that are systems response to an external pulsing activator (SCN) implying that the observed time-periodic pattern does not have to be an intrinsic property of the HPA axis. (c) 2005 Elsevier Ltd. All rights reserved.",
journal = "Chaos, Solitons and Fractals",
title = "A mathematical model of the hypothalamo-pituitary-adrenocortical system and its stability analysis",
volume = "26",
number = "2",
pages = "427-436",
doi = "10.1016/j.chaos.2005.01.013"
}
Savić, D. A.,& Jelić, S.. (2005). A mathematical model of the hypothalamo-pituitary-adrenocortical system and its stability analysis. in Chaos, Solitons and Fractals, 26(2), 427-436.
https://doi.org/10.1016/j.chaos.2005.01.013
Savić DA, Jelić S. A mathematical model of the hypothalamo-pituitary-adrenocortical system and its stability analysis. in Chaos, Solitons and Fractals. 2005;26(2):427-436.
doi:10.1016/j.chaos.2005.01.013 .
Savić, Danka A., Jelić, Smiljana, "A mathematical model of the hypothalamo-pituitary-adrenocortical system and its stability analysis" in Chaos, Solitons and Fractals, 26, no. 2 (2005):427-436,
https://doi.org/10.1016/j.chaos.2005.01.013 . .
28
26
31

A theoretical study-of hypothalamo-pituitary adrenocortical axis dynamics

Savić, Danka A.; Jelić, Smiljana

(2005)

TY  - JOUR
AU  - Savić, Danka A.
AU  - Jelić, Smiljana
PY  - 2005
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/6555
AB  - Does the hypothalamo-pituitary-adrenocortical (HPA) axis itself generate oscillations? The affirmative answer to this question is commonly assumed, because a regular daily rhythm of its hormones is observed. We offer another plausible explanation of the origin of this pattern: HPA just responds to an external pacemaker. A qualitative mathematical model is constructed wherein all the terms in the equations are physicochemically interpretable. Linear stability analysis shows that this system does not generate oscillations. Computer simulation yields oscillations that are the systems response to an external pulsing activator, implying that the observed pattern does not have to be an intrinsic property of this system.
T2  - Annals of the New York Academy of Sciences
T1  - A theoretical study-of hypothalamo-pituitary adrenocortical axis dynamics
VL  - 1048
SP  - 430
EP  - 432
DO  - 10.1196/annals.1342.055
ER  - 
@article{
author = "Savić, Danka A. and Jelić, Smiljana",
year = "2005",
abstract = "Does the hypothalamo-pituitary-adrenocortical (HPA) axis itself generate oscillations? The affirmative answer to this question is commonly assumed, because a regular daily rhythm of its hormones is observed. We offer another plausible explanation of the origin of this pattern: HPA just responds to an external pacemaker. A qualitative mathematical model is constructed wherein all the terms in the equations are physicochemically interpretable. Linear stability analysis shows that this system does not generate oscillations. Computer simulation yields oscillations that are the systems response to an external pulsing activator, implying that the observed pattern does not have to be an intrinsic property of this system.",
journal = "Annals of the New York Academy of Sciences",
title = "A theoretical study-of hypothalamo-pituitary adrenocortical axis dynamics",
volume = "1048",
pages = "430-432",
doi = "10.1196/annals.1342.055"
}
Savić, D. A.,& Jelić, S.. (2005). A theoretical study-of hypothalamo-pituitary adrenocortical axis dynamics. in Annals of the New York Academy of Sciences, 1048, 430-432.
https://doi.org/10.1196/annals.1342.055
Savić DA, Jelić S. A theoretical study-of hypothalamo-pituitary adrenocortical axis dynamics. in Annals of the New York Academy of Sciences. 2005;1048:430-432.
doi:10.1196/annals.1342.055 .
Savić, Danka A., Jelić, Smiljana, "A theoretical study-of hypothalamo-pituitary adrenocortical axis dynamics" in Annals of the New York Academy of Sciences, 1048 (2005):430-432,
https://doi.org/10.1196/annals.1342.055 . .
8
7
7

Mathematical modeling of the hypothalamic-pituitary-adrenal system activity

Jelić, Smiljana; Cupic, Z; Kolar-Anic, L

(2005)

TY  - JOUR
AU  - Jelić, Smiljana
AU  - Cupic, Z
AU  - Kolar-Anic, L
PY  - 2005
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/2943
AB  - Mathematical modeling has proven to be valuable in understanding of the complex biological systems dynamics. In the present report we have developed an initial model of the hypothalamic-pitutary-adrenal system self-regulatory activity. A four-dimensional non-linear differential equation model of the hormone secretion was formulated and used to analyze plasma cortisol levels in humans. The aim of this work was to explore in greater detail the role of this system in normal, homeostatic, conditions, since it is the first and unavoidable step in further understanding of the role of this complex neuroendocrine system in pathophysiological conditions. Neither the underlying mechanisms nor the physiological significance of this system are fully understood yet. (c) 2005 Elsevier Inc. All rights reserved.
T2  - Mathematical Biosciences
T1  - Mathematical modeling of the hypothalamic-pituitary-adrenal system activity
VL  - 197
IS  - 2
SP  - 173
EP  - 187
DO  - 10.1016/j.mbs.2005.06.006
ER  - 
@article{
author = "Jelić, Smiljana and Cupic, Z and Kolar-Anic, L",
year = "2005",
abstract = "Mathematical modeling has proven to be valuable in understanding of the complex biological systems dynamics. In the present report we have developed an initial model of the hypothalamic-pitutary-adrenal system self-regulatory activity. A four-dimensional non-linear differential equation model of the hormone secretion was formulated and used to analyze plasma cortisol levels in humans. The aim of this work was to explore in greater detail the role of this system in normal, homeostatic, conditions, since it is the first and unavoidable step in further understanding of the role of this complex neuroendocrine system in pathophysiological conditions. Neither the underlying mechanisms nor the physiological significance of this system are fully understood yet. (c) 2005 Elsevier Inc. All rights reserved.",
journal = "Mathematical Biosciences",
title = "Mathematical modeling of the hypothalamic-pituitary-adrenal system activity",
volume = "197",
number = "2",
pages = "173-187",
doi = "10.1016/j.mbs.2005.06.006"
}
Jelić, S., Cupic, Z.,& Kolar-Anic, L.. (2005). Mathematical modeling of the hypothalamic-pituitary-adrenal system activity. in Mathematical Biosciences, 197(2), 173-187.
https://doi.org/10.1016/j.mbs.2005.06.006
Jelić S, Cupic Z, Kolar-Anic L. Mathematical modeling of the hypothalamic-pituitary-adrenal system activity. in Mathematical Biosciences. 2005;197(2):173-187.
doi:10.1016/j.mbs.2005.06.006 .
Jelić, Smiljana, Cupic, Z, Kolar-Anic, L, "Mathematical modeling of the hypothalamic-pituitary-adrenal system activity" in Mathematical Biosciences, 197, no. 2 (2005):173-187,
https://doi.org/10.1016/j.mbs.2005.06.006 . .
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