Pattern Formation in the Longevity-Related Expression of Heat Shock Protein-16.2 in Caenorhabditis elegans.

Abstract:

:Aging in Caenorhabditis elegans is controlled, in part, by the insulin-like signaling and heat shock response pathways. Following thermal stress, expression levels of small heat shock protein-16.2 show a spatial patterning across the 20 intestinal cells that reside along the length of the worm. Here, we present a hypothesized mechanism that could lead to this patterned response and develop a mathematical model of this system to test our hypothesis. We propose that the patterned expression of heat shock protein is caused by a diffusion-driven instability within the pseudocoelom, or fluid-filled cavity, that borders the intestinal cells in C. elegans. This instability is due to the interactions between two classes of insulin-like peptides that serve antagonistic roles. We examine output from the developed model and compare it to experimental data on heat shock protein expression. Given biologically bounded parameters, the model presented is capable of producing patterns similar to what is observed experimentally and provides a first step in mathematically modeling aging-related mechanisms in C. elegans.

journal_name

Bull Math Biol

authors

Wentz JM,Mendenhall AR,Bortz DM

doi

10.1007/s11538-018-0482-7

subject

Has Abstract

pub_date

2018-10-01 00:00:00

pages

2669-2697

issue

10

eissn

0092-8240

issn

1522-9602

pii

10.1007/s11538-018-0482-7

journal_volume

80

pub_type

杂志文章
  • Stochastic Turing patterns: analysis of compartment-based approaches.

    abstract::Turing patterns can be observed in reaction-diffusion systems where chemical species have different diffusion constants. In recent years, several studies investigated the effects of noise on Turing patterns and showed that the parameter regimes, for which stochastic Turing patterns are observed, can be larger than the...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-014-0044-6

    authors: Cao Y,Erban R

    更新日期:2014-12-01 00:00:00

  • Two-dimensional Finite Element Model of Breast Cancer Cell Motion Through a Microfluidic Channel.

    abstract::A two-dimensional model for red blood cell motion is adapted to consider the dynamics of breast cancer cells in a microfluidic channel. Adjusting parameters to make the membrane stiffer, as is the case with breast cancer cells compared with red blood cells, allows the model to produce reasonable estimates of breast ca...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-018-00557-x

    authors: Barber J,Zhu L

    更新日期:2019-04-01 00:00:00

  • From plateau to pseudo-plateau bursting: making the transition.

    abstract::Bursting electrical activity is ubiquitous in excitable cells such as neurons and many endocrine cells. The technique of fast/slow analysis, which takes advantage of time scale differences, is typically used to analyze the dynamics of bursting in mathematical models. Two classes of bursting oscillations that have been...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-010-9559-7

    authors: Teka W,Tsaneva-Atanasova K,Bertram R,Tabak J

    更新日期:2011-06-01 00:00:00

  • Intermittent Preventive Treatment (IPT): Its Role in Averting Disease-Induced Mortality in Children and in Promoting the Spread of Antimalarial Drug Resistance.

    abstract::We develop an age-structured ODE model to investigate the role of intermittent preventive treatment (IPT) in averting malaria-induced mortality in children, and its related cost in promoting the spread of antimalarial drug resistance. IPT, a malaria control strategy in which a full curative dose of an antimalarial med...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-018-0524-1

    authors: Manore CA,Teboh-Ewungkem MI,Prosper O,Peace A,Gurski K,Feng Z

    更新日期:2019-01-01 00:00:00

  • Theoretical considerations of Fisher's theorem in small at-risk populations.

    abstract::Small populations at risk of extinction due to threshold or competitive exclusion have a vested interest in rapid growth. Taking chance of survival into account for diploid populations, Fisher's theorem predicts a sex ratio favoring females under certain circumstances. Theoretical consideration of competitive exclusio...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-009-9455-1

    authors: Johnson SD

    更新日期:2010-01-01 00:00:00

  • Slow Passage Through a Hopf Bifurcation in Excitable Nerve Cables: Spatial Delays and Spatial Memory Effects.

    abstract::It is well established that in problems featuring slow passage through a Hopf bifurcation (dynamic Hopf bifurcation) the transition to large-amplitude oscillations may not occur until the slowly changing parameter considerably exceeds the value predicted from the static Hopf bifurcation analysis (temporal delay effect...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-017-0366-2

    authors: Bilinsky LM,Baer SM

    更新日期:2018-01-01 00:00:00

  • Determination of pulmonary mean transit time and cardiac output using a one-dimensional model.

    abstract::In this work, we show that a one-dimensional model of the blood flow across the lungs can reproduce the evolution of a bolus versus the time. Solving the differential equation governing the bolus concentration in the framework of this model, we determine the solution which fulfills Gaussian initial boundary conditions...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/BF02458387

    authors: Le Sech C,Capderou A

    更新日期:1996-11-01 00:00:00

  • Bayesian Calibration, Validation and Uncertainty Quantification for Predictive Modelling of Tumour Growth: A Tutorial.

    abstract::In this work, we present a pedagogical tumour growth example, in which we apply calibration and validation techniques to an uncertain, Gompertzian model of tumour spheroid growth. The key contribution of this article is the discussion and application of these methods (that are not commonly employed in the field of can...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-017-0258-5

    authors: Collis J,Connor AJ,Paczkowski M,Kannan P,Pitt-Francis J,Byrne HM,Hubbard ME

    更新日期:2017-04-01 00:00:00

  • Modelling the role of angiogenesis and vasculogenesis in solid tumour growth.

    abstract::Recent experimental evidence suggests that vasculogenesis may play an important role in tumour vascularisation. While angiogenesis involves the proliferation and migration of endothelial cells (ECs) in pre-existing vessels, vasculogenesis involves the mobilisation of bone-marrow-derived endothelial progenitor cells (E...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-007-9253-6

    authors: Stamper IJ,Byrne HM,Owen MR,Maini PK

    更新日期:2007-11-01 00:00:00

  • Multiple Scale Homogenisation of Nutrient Movement and Crop Growth in Partially Saturated Soil.

    abstract::In this paper, we use multiple scale homogenisation to derive a set of averaged macroscale equations that describe the movement of nutrients in partially saturated soil that contains growing potato tubers. The soil is modelled as a poroelastic material, which is deformed by the growth of the tubers, where the growth o...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-019-00656-3

    authors: Duncan SJ,Daly KR,McKay Fletcher DM,Ruiz S,Sweeney P,Roose T

    更新日期:2019-10-01 00:00:00

  • Modeling the effects of varicella vaccination programs on the incidence of chickenpox and shingles.

    abstract::Two possible dangers of an extensive varicella vaccination program are more varicella (chickenpox) cases in adults, when the complication rates are higher, and an increase in cases of zoster (shingles). Here an age-structured epidemiologic-demographic model with vaccination is developed for varicella and zoster. Param...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1006/bulm.1999.0126

    authors: Schuette MC,Hethcote HW

    更新日期:1999-11-01 00:00:00

  • On the long-term fitness of cells in periodically switching environments.

    abstract::Because all the cell populations are capable of making switches between different genetic expression states in response to the environmental change, Thattai and van Oudenaarden (Genetics 167, 523-530, 2004) have raised a very interesting question: In a constantly fluctuating environment, which type of cell population ...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-007-9250-9

    authors: Pang NN,Tzeng WJ

    更新日期:2008-01-01 00:00:00

  • A physical-biological coupled model for algal dynamics in lakes.

    abstract::A coupled model is presented for simulating physical and biological dynamics in fresh water lakes. The physical model rests upon the assumption that the turbulent kinetic energy in a water column of the lake is fully contained in a mixed layer of variable depth. Below this layer the mechanical energy content is assume...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1006/bulm.1998.0075

    authors: Franke U,Hutter K,Jöhnk K

    更新日期:1999-03-01 00:00:00

  • Mathematical determination of cell population doubling times for multiple cell lines.

    abstract::Cell cycle times are vital parameters in cancer research, and short cell cycle times are often related to poor survival of cancer patients. A method for experimental estimation of cell cycle times, or doubling times of cultured cancer cell populations, based on addition of paclitaxel (an inhibitor of cell division) ha...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-012-9764-7

    authors: Daukste L,Basse B,Baguley BC,Wall DJ

    更新日期:2012-10-01 00:00:00

  • A model of oscillatory protein dynamics in bacteria.

    abstract::Spatial oscillations of proteins in bacteria have recently attracted much attention. The cellular mechanism underlying these oscillations can be studied at molecular as well as at more macroscopic levels. We construct a minimal mathematical model with two proteins that is able to produce self-sustained regular pole-to...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-012-9752-y

    authors: Rashkov P,Schmitt BA,Søgaard-Andersen L,Lenz P,Dahlke S

    更新日期:2012-09-01 00:00:00

  • Computational fluid dynamics of fish gill rakers during crossflow filtration.

    abstract::We study crossflow filtration mechanisms in suspension-feeding fishes using computational fluid dynamics to model fluid flow and food particle movement in the vicinity of the gill rakers. During industrial and biological crossflow filtration, particles are retained when they remain suspended in the mainstream flow tra...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-011-9709-6

    authors: Cheer A,Cheung S,Hung TC,Piedrahita RH,Sanderson SL

    更新日期:2012-04-01 00:00:00

  • Estimating the selective advantage of mutant p53 tumour cells to repeated rounds of hypoxia.

    abstract::The tumour suppressor gene, p53, plays an important role in tumour development. Under low levels of oxygen (hypoxia), cells expressing wild-type p53 undergo programmed cell death (apoptosis), whereas cells expressing mutations in the p53 gene may survive and express angiogenic growth factors that stimulate tumour vasc...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1006/bulm.2000.0210

    authors: Gammack D,Byrne HM,Lewis CE

    更新日期:2001-01-01 00:00:00

  • Analysis of individual cell trajectories in lattice-gas cellular automaton models for migrating cell populations.

    abstract::Collective dynamics of migrating cell populations drive key processes in tissue formation and maintenance under normal and diseased conditions. Collective cell behavior at the tissue level is typically characterized by considering cell density patterns such as clusters and moving cell fronts. However, there are also i...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-015-0079-3

    authors: Mente C,Voss-Böhme A,Deutsch A

    更新日期:2015-04-01 00:00:00

  • Invasibility of nectarless flowers in plant-pollinator systems.

    abstract::This paper considers plant-pollinator systems in which plants are divided into two categories: The plants that secret a substantial volume of nectar in their flowers are called secretors, while those without secreting nectar are called nonsecretors (cheaters). The interaction between pollinators and secretors is mutua...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-013-9846-1

    authors: Wang Y,Wu H

    更新日期:2013-07-01 00:00:00

  • An example of model structure differences using sensitivity analyses in physiologically based pharmacokinetic models of trichloroethylene in humans.

    abstract::Trichloroethylene (TCE) is an industrial chemical and an environmental contaminant. TCE and its metabolites may be carcinogenic and affect human health. Physiologically based pharmacokinetic (PBPK) models that differ in compartmentalization are developed for TCE metabolism in humans, and the focus of this investigatio...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-007-9233-x

    authors: Yokley KA,Evans MV

    更新日期:2007-11-01 00:00:00

  • Proliferation and competition in discrete biological systems.

    abstract::We study the emergence of collective spatio-temporal objects in biological systems by representing individually the elementary interactions between their microscopic components. We use the immune system as a prototype for such interactions. The results of this detailed explicit analysis are compared with the tradition...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1016/S0092-8240(03)00007-7

    authors: Louzoun Y,Solomon S,Atlan H,Cohen IR

    更新日期:2003-05-01 00:00:00

  • Identifiability Results for Several Classes of Linear Compartment Models.

    abstract::Identifiability concerns finding which unknown parameters of a model can be estimated, uniquely or otherwise, from given input-output data. If some subset of the parameters of a model cannot be determined given input-output data, then we say the model is unidentifiable. In this work, we study linear compartment models...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-015-0098-0

    authors: Meshkat N,Sullivant S,Eisenberg M

    更新日期:2015-08-01 00:00:00

  • A Metaecoepidemic Model of Grassland Ecosystem with Only Consumers' Migration.

    abstract::Metaecoepidemic models generalize metapopulation systems, combining local population dynamics with inter-patch migration coupled with an epidemic proliferation. A resource-consumer model is introduced with an ecosystem composed by two patches, in which consumers can freely move. A disease affects resources of the seco...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-020-00764-5

    authors: Moulin T,Perasso A,Venturino E

    更新日期:2020-07-07 00:00:00

  • The influence of fluid flow on modeling quorum sensing in bacterial biofilms.

    abstract::In this paper, we study quorum sensing in Pseudomonas aeruginosa biofilms. Quorum sensing is a process where bacteria monitor their population density through the release of extra-cellular signalling molecules. The presence of these molecules affects gene modulation leading to changes in behaviour such as the release ...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-009-9485-8

    authors: Vaughan BL Jr,Smith BG,Chopp DL

    更新日期:2010-07-01 00:00:00

  • Oscillations and waves of cyclic AMP in Dictyostelium: a prototype for spatio-temporal organization and pulsatile intercellular communication.

    abstract::The amoebae Dictyostelium discoideum aggregate after starvation in a wavelike manner in response to periodic pulses of cyclic AMP (cAMP) secreted by cells which behave as aggregation centers. In addition to autonomous oscillations, the cAMP signaling system that controls aggregation is also capable of excitable behavi...

    journal_title:Bulletin of mathematical biology

    pub_type: 历史文章,杂志文章

    doi:10.1007/s11538-006-9090-z

    authors: Goldbeter A

    更新日期:2006-07-01 00:00:00

  • Predicting Pattern Formation in Multilayer Networks.

    abstract::We investigate how the structure of interactions between coupled oscillators influences the formation of asynchronous patterns in a multilayer network by formulating a simple, general multilayer oscillator model. We demonstrate the analysis of this model in three-oscillator systems, illustrating the role of interactio...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-019-00682-1

    authors: Hayes SM,Anderson KE

    更新日期:2019-12-20 00:00:00

  • Application of Quasi-Steady-State Methods to Nonlinear Models of Intracellular Transport by Molecular Motors.

    abstract::Molecular motors such as kinesin and dynein are responsible for transporting material along microtubule networks in cells. In many contexts, motor dynamics can be modelled by a system of reaction-advection-diffusion partial differential equations (PDEs). Recently, quasi-steady-state (QSS) methods have been applied to ...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-017-0314-1

    authors: Zmurchok C,Small T,Ward MJ,Edelstein-Keshet L

    更新日期:2017-09-01 00:00:00

  • Identifiability and Reconstructibility of Species Phylogenies Under a Modified Coalescent.

    abstract::Coalescent models of evolution account for incomplete lineage sorting by specifying a species tree parameter which determines a distribution on gene trees, and consequently, a site pattern probability distribution. It has been shown that the unrooted topology of the species tree parameter of the multispecies coalescen...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-018-0456-9

    authors: Long C,Kubatko L

    更新日期:2019-02-01 00:00:00

  • A Mathematical Framework for Understanding Four-Dimensional Heterogeneous Differentiation of CD4+ T Cells.

    abstract::At least four distinct lineages of CD4+ T cells play diverse roles in the immune system. Both in vivo and in vitro, naïve CD4+ T cells often differentiate into a variety of cellular phenotypes. Previously, we developed a mathematical framework to study heterogeneous differentiation of two lineages governed by a mutual...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-015-0076-6

    authors: Hong T,Oguz C,Tyson JJ

    更新日期:2015-06-01 00:00:00

  • Modelling Dictyostelium discoideum morphogenesis: the culmination.

    abstract::The culmination of the morphogenesis of the cellular slime mould Dictyostelium discoideum involves complex cell movements which transform a mound of cells into a globule of spores on a slender stalk. We show that cyclic AMP signalling and differential adhesion, combined with cell differentiation and slime production, ...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1006/bulm.2001.0277

    authors: Marée AF,Hogeweg P

    更新日期:2002-03-01 00:00:00