Patient-specific modeling of the neuroendocrine HPA-axis and its relation to depression: Ultradian and circadian oscillations.

Abstract:

:In the Western world approximately 10% of the population experience severe depression at least once in their lifetime and many more experience a mild form of depression. Depression has been associated with malfunctions in the hypothalamus-pituitary-adrenal (HPA) axis. We suggest a novel mechanistic non-linear model capable of showing both circadian as well as ultradian oscillations of the hormone concentrations related to the HPA-axis. The fast ultradian rhythm is assumed to originate from the hippocampus whereas the slower circadian rhythm is assumed to be caused by the circadian clock. The model is able to describe the oscillatory patterns in hormone concentration data from 29 patients and healthy controls. Using non-linear mixed effects modeling with statistical hypothesis testing, three of the model parameters are identified to be related to depression. These parameters represent underlying physiological mechanisms controlling the average levels as well as the ultradian frequencies and amplitudes of the hormones ACTH and cortisol. The results are promising since they point toward an exact etiology for depression. As a consequence new biomarkers and pharmaceutical targets may be identified.

journal_name

Math Biosci

journal_title

Mathematical biosciences

authors

Gudmand-Hoeyer J,Timmermann S,Ottesen JT

doi

10.1016/j.mbs.2014.07.013

subject

Has Abstract

pub_date

2014-11-01 00:00:00

pages

23-32

eissn

0025-5564

issn

1879-3134

pii

S0025-5564(14)00162-X

journal_volume

257

pub_type

杂志文章
  • Practical identifiability and uncertainty quantification of a pulsatile cardiovascular model.

    abstract::Mathematical models are essential tools to study how the cardiovascular system maintains homeostasis. The utility of such models is limited by the accuracy of their predictions, which can be determined by uncertainty quantification (UQ). A challenge associated with the use of UQ is that many published methods assume t...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2018.07.001

    authors: Marquis AD,Arnold A,Dean-Bernhoft C,Carlson BE,Olufsen MS

    更新日期:2018-10-01 00:00:00

  • Time delay in physiological systems: analyzing and modeling its impact.

    abstract::This article examines the functional and clinical impact of time delays that arise in human physiological systems, especially control systems. An overview of the mathematical and physiological contexts for considering time delays will be illustrated, from the system level to cell level, by examining models that incorp...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章,评审

    doi:10.1016/j.mbs.2011.08.006

    authors: Batzel JJ,Kappel F

    更新日期:2011-12-01 00:00:00

  • A mechanoreceptor model for rapidly and slowly adapting afferents subjected to periodic vibratory stimuli.

    abstract::A simple model of Freeman and Johnson on cutaneous mechanoreceptors is modified by introducing mechanisms for hyperexcitation and refractoriness. These lead to significant improvements in the match between the neural and model data. ...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/0025-5564(94)00083-c

    authors: Slavík P,Bell J

    更新日期:1995-11-01 00:00:00

  • Limiting characteristics for finite birth-death-catastrophe processes.

    abstract::General nonstationary birth-death process with possible catastrophes on finite state space is studied. The approach for obtaining the bounds on the rates of convergence to the limiting characteristics is outlined. Method for construction of the limiting characteristics is proposed. We also show that, as a rule, the in...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2013.02.009

    authors: Zeifman A,Satin Y,Panfilova T

    更新日期:2013-09-01 00:00:00

  • On the robustness of regular systems of inbreeding.

    abstract::Half-sib, first cousin, half nth cousin, and nth cousin mating systems are robust in that small deviations from the mating structure will not significantly alter the levels of genetic identity or effect qualitative distinctions between the models. Substitution of nearest kin in matings may either increase or decrease ...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/0025-5564(91)90026-f

    authors: Campbell RB

    更新日期:1991-04-01 00:00:00

  • An investigation of the combined effect of an annual mass gathering event and seasonal infectiousness on disease outbreak.

    abstract::In this paper, we investigate the effects of recurring mass gathering event on the spread of an epidemic. Mass gatherings take place when a large number of people from different locations visit a particular region during a short time period. Such activity plays a crucial role in the epidemic spread as traveling facili...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2019.03.006

    authors: Xu F,Connell McCluskey C

    更新日期:2019-06-01 00:00:00

  • Hopf bifurcation in three-species food chain models with group defense.

    abstract::Three-species food-chain models, in which the prey population exhibits group defense, are considered. Using the carrying capacity of the environment as the bifurcation parameter, it is shown that the model without delay undergoes a sequence of Hopf bifurcations. In the model with delay it is shown that using a delay a...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/0025-5564(92)90079-c

    authors: Freedman HI,Ruan S

    更新日期:1992-09-01 00:00:00

  • Structural identifiability of models characterizing saturable binding: comparison of pseudo-steady-state and non-pseudo-steady-state model formulations.

    abstract::A two-state variable model in which saturable binding takes place is studied. Two mathematical representations of the same model are considered, one a standard chemical kinetics type of polynomial system, the other a reduced model formed from the original system via a pseudo-steady-state approximation. For a particula...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/0025-5564(95)00064-x

    authors: Chappell MJ

    更新日期:1996-04-01 00:00:00

  • Investigation of the performance of fermentation processes using a mathematical model including effects of metabolic bottleneck and toxic product on cells.

    abstract::A number of recent research studies have focused on theoretical and experimental investigation of a bottleneck in a metabolic reaction network. However, there is no study on how the bottleneck affects the performance of a fermentation process when a product is highly toxic and remarkably influences the growth and deat...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2010.08.001

    authors: Sriyudthsak K,Shiraishi F

    更新日期:2010-11-01 00:00:00

  • Crossover in spreading behavior due to memory in population dynamics.

    abstract::The reaction-diffusion equation is one of the possible ways for modeling animal movement, where the reactive part stands for the population growth and the diffusive part for random dispersal of the population. However, a reaction-diffusion model may not represent all aspects of the spatial dynamics, because of the exi...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2020.108346

    authors: Oliveira KA,Berbert JM

    更新日期:2020-06-01 00:00:00

  • An age-structured model for pertussis transmission.

    abstract::The vaccination program for pertussis (whooping cough) in the United States consists of giving multiple doses of pertussis vaccine to young children. A demographic model with a steady-state age distribution is used as a basis for building an epidemiologic model for the transmission of pertussis. This age-structured mo...

    journal_title:Mathematical biosciences

    pub_type: 历史文章,杂志文章

    doi:10.1016/s0025-5564(97)00014-x

    authors: Hethcote HW

    更新日期:1997-10-15 00:00:00

  • The density of the extinction probability of a time homogeneous linear birth and death process under the influence of randomly occurring disasters.

    abstract::Under the influence of randomly occurring disasters, the eventual extinction probability, q, of a birth and death process, Z, is a random variable. In this paper, we obtain an integral expression for the probability density function g(x) of q under the assumption that the population process Z is a time homogeneous lin...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/s0025-5564(99)00059-0

    authors: Lee C

    更新日期:2000-03-01 00:00:00

  • Automatic learning of mortality in a CPN model of the systemic inflammatory response syndrome.

    abstract::The aim of this paper is to apply machine learning as a method to refine a manually constructed CPN for the assessment of the severity of the systemic inflammatory response syndrome (SIRS).The goal of tuning the CPN is to create a scoring system that uses only objective data, compares favourably with other severity-sc...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2016.11.004

    authors: Ward L,Paul M,Andreassen S

    更新日期:2017-02-01 00:00:00

  • HAUSP-regulated switch from auto- to p53 ubiquitination by Mdm2 (in silico discovery).

    abstract::Stability of the 'guardian of the genome' tumor suppressor protein p53 is regulated predominantly through its ubiquitination. The ubiquitin-specific protease HAUSP plays an important role in this process. Recent experiments showed that p53 demonstrates a differential response to changes in HAUSP which nature and signi...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2007.05.005

    authors: Brazhnik P,Kohn KW

    更新日期:2007-11-01 00:00:00

  • On global and local critical points of extended contact process on homogeneous trees.

    abstract::We study spatial stochastic epidemic models called households models. The households models have more than two states at each vertex of a graph in contrast to the contact process. We show that, in the households models on trees, two thresholds of infection rates characterize epidemics. The global critical infection ra...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2008.02.004

    authors: Sugimine N,Masuda N,Konno N,Aihara K

    更新日期:2008-05-01 00:00:00

  • Modelling the role of CtfA/B in reverse shift continuous culture experiments of Clostridium acetobutylicum.

    abstract::In continuous phosphate-limited conditions, under pH control from high pH (pH ≳ 5.2) to low pH (pH ≲ 5.2), the metabolism of the Gram-positive bacterium Clostridium acetobutylicum,switches from acid to solvent production. Three main enzymes are responsible for the shift, acetoacetate decarboxylase (Adc), alcohol dehyd...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2016.03.003

    authors: Thorn GJ,King JR

    更新日期:2016-06-01 00:00:00

  • Mathematical models for the effects of hypertension and stress on kidney and their uncertainty.

    abstract::Determining the future state of individual patients, with regard to the susceptibility to life-threatening condition is a crucial problem in the public health. Chronic Kidney Disease (CKD) is a perilous disease, which is characterized by gradual loss of kidney function. This paper presents a set of mathematical models...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2018.08.013

    authors: Waezizadeh T,Mehrpooya A,Rezaeizadeh M,Yarahmadian S

    更新日期:2018-11-01 00:00:00

  • Inference of cell-cell interactions from population density characteristics and cell trajectories on static and growing domains.

    abstract::A key feature of cell migration is how cell movement is affected by cell-cell interactions. Furthermore, many cell migratory processes such as neural crest stem cell migration [Thomas and Erickson, 2008; McLennan et al., 2012] occur on growing domains or in the presence of a chemoattractant. Therefore, it is important...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2015.04.002

    authors: Ross RJ,Yates CA,Baker RE

    更新日期:2015-06-01 00:00:00

  • Incorporating prior parameter uncertainty in the design of sampling schedules for pharmacokinetic parameter estimation experiments.

    abstract::An experiment design procedure is proposed for nonlinear parameter estimation studies that formally incorporates prior parameter uncertainty. The design criterion derives from information theory considerations and involves an asymptotic interpretation of the expected posterior information provided by an experiment. A ...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/0025-5564(90)90141-k

    authors: D'Argenio DZ

    更新日期:1990-04-01 00:00:00

  • The optimal strategy for brood-parasitism: how many eggs should be laid in the host's nest?

    abstract::We consider the optimal strategy for intra-specific brood-parasitism, especially with respect to the number of eggs laid by the parasitic individual in the nest of non-parasitic individual, in particular, a host that does not reject the parasite's eggs. With a fundamental mathematical model, assuming that the survival...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/s0025-5564(99)00037-1

    authors: Maruyama J,Seno H

    更新日期:1999-10-01 00:00:00

  • Visibility in a pure model of golden spiral phyllotaxis.

    abstract::This paper considers the geometry of plants with golden spiral phyllotaxis, i.e. growing leaf by leaf on a spiral with golden divergence angle, via the simplest mathematical model, a cylinder with regular arrangement of points on its surface. As is well-known, Fibonacci numbers appear by means of the order of parastic...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2018.05.003

    authors: Herrmann B

    更新日期:2018-07-01 00:00:00

  • Persistence of an infectious disease in a subdivided population.

    abstract::The transmission dynamics of a communicable disease in a subdivided population where the spread among groups follows the proportionate mixing model while the within-group transmission can correspond to preferred mixing, proportionate mixing among subgroups, or mixing between social and nonsocial subgroups, is analyzed...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/0025-5564(89)90061-8

    authors: Andreasen V,Christiansen FB

    更新日期:1989-10-01 00:00:00

  • Size distributions of misrejoining DNA fragments in irradiated cells.

    abstract::When ionizing radiation strikes a cell it induces DNA double strand breaks (DSBs). Subsequently, some of the DSBs misrejoin and thus cause alterations in the size distribution of the DNA fragments. We derive a system of non-linear integro-differential equations describing the misrejoining interactions of five classes ...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章,评审

    doi:10.1016/s0025-5564(98)00006-6

    authors: Radivoyevitch T,Hoel DG,Hahnfeldt P,Sachs RK

    更新日期:1998-05-01 00:00:00

  • Sharpening spots: correcting for bleedover in cDNA array images.

    abstract::For cDNA array methods that depend on imaging of a radiolabel, we show that bleedover of one spot onto another, due to the gap between the array and the imaging media, can be a major problem. The images can be sharpened, however, using a blind convolution method based on the EM algorithm. The sharpened images look lik...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/s0025-5564(01)00101-8

    authors: Therneau T,Tschumper RC,Jelinek D

    更新日期:2002-03-01 00:00:00

  • Effect of red blood cell shape on oxygen transport in capillaries.

    abstract::A mathematical model of oxygen (O2) transport within a capillary utilizes axisymmetric red blood cell (RBC) shapes that were predicted theoretically by Zarda et al. in 1977. Chemical kinetics and both free and facilitated diffusion of O2 are accounted for in this time-dependent model. The finite-element method is used...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/0025-5564(93)90062-f

    authors: Wang CH,Popel AS

    更新日期:1993-07-01 00:00:00

  • An allelopathy based model for the Listeria overgrowth phenomenon.

    abstract::In a standard procedure of food safety testing, the presence of the pathogenic bacterium Listeria monocytogenes can be masked by non-pathogenic Listeria. This phenomenon of Listeria overgrowth is not well understood. We present a mathematical model for the growth of a mixed population of L. innocua and L. monocytogene...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2013.10.008

    authors: Fgaier H,Kalmokoff M,Ells T,Eberl HJ

    更新日期:2014-01-01 00:00:00

  • Mean and quasideterministic equivalence for linear stochastic dynamics.

    abstract::In linear, stochastic dynamics it is shown that the quasideterministic population size is equivalent to the mean population size. The quasideterministic dynamics are defined by the conditional infinitesimal mean of the process. The stochastic component of the dynamics includes both Gaussian and Poisson white noise, wi...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/0025-5564(89)90010-2

    authors: Hanson FB,Ryan D

    更新日期:1989-03-01 00:00:00

  • Some remarks on definition and validity of terms used in models for infectious disease spread.

    abstract::The epidemiology of infectious diseases makes use of a number of terms, such as exposure, infected, carrier, attack rate, and immunity. Researchers who intend to model the spread of epidemics should be aware of the problems with some of these terms. The role played by inapparent, or subclinical, infections is receivin...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/0025-5564(91)90001-y

    authors: Giesecke J

    更新日期:1991-12-01 00:00:00

  • Stochastic models for the spread of HIV in a mobile heterosexual population.

    abstract::An important factor in the dynamic transmission of HIV is the mobility of the population. We formulate various stochastic models for the spread of HIV in a heterosexual mobile population, under the assumptions of constant and varying population sizes. We also derive deterministic and diffusion analogues for these mode...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2006.09.024

    authors: Sani A,Kroese DP,Pollett PK

    更新日期:2007-07-01 00:00:00

  • Dynamics of a predator-prey model with generalized Holling type functional response and mutual interference.

    abstract::Mutual interference and prey refuge are important drivers of predator-prey dynamics. The "exponent" or degree of mutual interference has been under much debate in theoretical ecology. In the present work, we investigate the interplay of the mutual interference exponent, and prey refuge, on the behavior of a predator-p...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2020.108407

    authors: Antwi-Fordjour K,Parshad RD,Beauregard MA

    更新日期:2020-08-01 00:00:00