Mathematical modeling of depressive disorders: Circadian driving, bistability and dynamical transitions

Cheng, Xiantao; D’Orsogna, Maria R.; Chou, Tom

doi:10.1016/j.csbj.2020.10.035

Cited by 7 publications

(4 citation statements)

References 72 publications

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“…There might be multiple fixed points and/or limit cycles, and different orders of mutations might lead to different final states of gene expression. Different sequences of perturbations leading to different states have been hypothesized for different physiological dynamics, including neuroendocrine stress response [26,9]. This type of model can be used to explain observations (4) and (5).…”

Section: Discussionmentioning

confidence: 99%

Order-of-mutation effects on cancer progression: models for myeloproliferative neoplasm

Wang,

Shtylla,

Chou

2023

Preprint

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In some patients with myeloproliferative neoplasms (MPN), two genetic mutations are often found, JAK2 V617F and one in the TET2 gene. Whether or not one mutation is present will influence how the other subsequent mutation affects the regulation of gene expression. When both mutations are present, the order of their occurrence has been shown to influence disease progression and prognosis. We propose a nonlinear ordinary differential equation (ODE), Moran process, and Markov chain models to explain the non-additive and non-commutative mutation effects on recent clinical observations of gene expression patterns, proportions of cells with different mutations, and ages at diagnosis of MPN. These observations consistently shape our modeling framework. Our key proposal is that bistability in gene expression provides a natural explanation for many observed order-of-mutation effects. We also propose potential experimental measurements that can be used to confirm or refute predictions of our models.

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Section: Discussionmentioning

confidence: 99%

Order-of-mutation effects on cancer progression: models for myeloproliferative neoplasm

Wang,

Shtylla,

Chou

2023

Preprint

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“…More mechanistic models based on the HPA axis describe the dynamics of hormones and their receptors on the scale of hours [34][35][36][37][38][39][40][41][42][43]. Some show the interplay between the CNS and HPA [39], and present bistability dynamics as an explanation of stress vulnerability and MDD [36,41,42,44]. These HPA models do not discuss the timescale of weeks which is seen in many aspects of MDD.…”

Section: Introductionmentioning

confidence: 99%

Major depressive disorder and bistability in an HPA-CNS toggle switch

Ron Mizrachi,

Tendler,

Karin

et al. 2023

PLoS Comput Biol

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Major depressive disorder (MDD) is the most common psychiatric disorder. It has a complex and heterogeneous etiology. Most treatments take weeks to show effects and work well only for a fraction of the patients. Thus, new concepts are needed to understand MDD and its dynamics. One of the strong correlates of MDD is increased activity and dysregulation of the hypothalamic-pituitary-adrenal (HPA) axis which produces the stress hormone cortisol. Existing mathematical models of the HPA axis describe its operation on the scale of hours, and thus are unable to explore the dynamic on the scale of weeks that characterizes many aspects of MDD. Here, we propose a mathematical model of MDD on the scale of weeks, a timescale provided by the growth of the HPA hormone glands under control of HPA hormones. We add to this the mutual inhibition of the HPA axis and the hippocampus and other regions of the central nervous system (CNS) that forms a toggle switch. The model shows bistability between euthymic and depressed states, with a slow timescale of weeks in its dynamics. It explains why prolonged but not acute stress can trigger a self-sustaining depressive episode that persists even after the stress is removed. The model explains the weeks timescale for drugs to take effect, as well as the dysregulation of the HPA axis in MDD, based on gland mass changes. This understanding of MDD dynamics may help to guide strategies for treatment.

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“…Jennifer L.Dillon [3] formulated a mathematical model of depression in young women as a function of the pressure to be beautiful. Xiaoou Cheng [7] developed a mathematical modelling for depressive disorders by external shocks to hypothalamus. Subit K. Jain [6] studied the dynamic behaviour of psychological stress during COVID-19 by a mathematical model.…”

Section: Introductionmentioning

confidence: 99%

“…Figure 6: Infected by depression class forFigure 7: Infected by depression class for different values of αdifferent values of 𝜸 𝟐.Figure(6) and figure(7) shows the flow of individuals in infected by depression class for different values of α and 𝛾 2 respectively. From figure(6) for the various values of α, the infected by depression rate is high and figure(7) while increasing the recovery rate of infected by depression, we get high recovery rate with respect to time.…”

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confidence: 99%

A Mathematical Analysis on A Mathematical Model on Stress and Depression among Women

Naga Soundariya Lakshmi V.S.V.

2023

tjjpt

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The aim of this research is to construct a model for Stress and Depression among women in India. The feasible values of the variables are obtained by the equilibrium analysis. The local and global stability of the model are analysed. The model is reconstructed with fuzzy parameters whose membership functions are formulated based on online survey of the stress and depression rate of Indian women. The local and global stability conditions are refined in fuzzy environment. Numerical simulations were shown to exhibit the flow of variables and to understand the impact of fuzzy parameter

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Mathematical modeling of depressive disorders: Circadian driving, bistability and dynamical transitions

Cited by 7 publications

References 72 publications

Order-of-mutation effects on cancer progression: models for myeloproliferative neoplasm

Order-of-mutation effects on cancer progression: models for myeloproliferative neoplasm

Major depressive disorder and bistability in an HPA-CNS toggle switch

A Mathematical Analysis on A Mathematical Model on Stress and Depression among Women

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