The Effects of Insulin Resistance on Individual Tissues: An Application of a Mathematical Model of Metabolism in Humans.

Abstract:

:Whilst the human body expends energy constantly, the human diet consists of a mix of carbohydrates and fats delivered in a discontinuous manner. To deal with this sporadic supply of energy, there are transport, storage and utilisation mechanisms, for both carbohydrates and fats, around all tissues of the body. Insulin-resistant states such as type 2 diabetes and obesity are characterised by reduced efficiency of these mechanisms. Exactly how these insulin-resistant states develop, for example whether there is an order in which tissues become insulin resistant, is an active area of research with the hope of gaining a better overall understanding of insulin resistance. In this paper, we use a previously derived system of 12 first-order coupled differential equations that describe the transport between, and storage in, different tissues of the human body. We briefly revisit the derivation of the model before parametrising the model to account for insulin resistance. We then solve the model numerically, separately simulating each individual tissue as insulin resistant, and discuss and compare these results, drawing three main conclusions. The implications of these results are in accordance with biological intuition. First, insulin resistance in a tissue creates a knock-on effect on the other tissues in the body, whereby they attempt to compensate for the reduced efficiency of the insulin-resistant tissue. Second, insulin resistance causes a fatty liver, and the insulin resistance of tissues other than the liver can cause fat to accumulate in the liver. Finally, although insulin resistance in individual tissues can cause slightly reduced skeletal muscle metabolic flexibility, it is when the whole body is insulin resistant that the biggest effect on skeletal muscle flexibility is seen.

journal_name

Bull Math Biol

authors

Pearson T,Wattis JA,King JR,MacDonald IA,Mazzatti DJ

doi

10.1007/s11538-016-0181-1

subject

Has Abstract

pub_date

2016-06-01 00:00:00

pages

1189-217

issue

6

eissn

0092-8240

issn

1522-9602

pii

10.1007/s11538-016-0181-1

journal_volume

78

pub_type

杂志文章
  • A general theory for host seeking decisions in mosquitoes.

    abstract::We develop a theory for host seeking decisions in mosquitoes that explicitly considers the tradeoffs mosquitoes face in allocation to somatic and gametic function. Specifically, we consider conditions under which mosquitoes should seek out nectar and blood hosts upon encountering host odours. Results from development ...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/BF02464840

    authors: Roitberg BD,Friend WG

    更新日期:1992-03-01 00:00:00

  • A mathematical model for the effects of HER2 over-expression on cell cycle progression in breast cancer.

    abstract::In this paper, we present a mathematical model predicting the fraction of proliferating cells in G1, S, and G2/M phases of the cell cycle as a function of EGFR and HER2. We show that it is possible to find parameters for the mathematical model so that its predictions agree with the experimental observations that HER2 ...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-011-9663-3

    authors: Eladdadi A,Isaacson D

    更新日期:2011-12-01 00:00:00

  • Catch Me If You Can: A Spatial Model for a Brake-Driven Gene Drive Reversal.

    abstract::Population management using artificial gene drives (alleles biasing inheritance, increasing their own transmission to offspring) is becoming a realistic possibility with the development of CRISPR-Cas genetic engineering. A gene drive may, however, have to be stopped. "Antidotes" (brakes) have been suggested, but have ...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-019-00668-z

    authors: Girardin L,Calvez V,Débarre F

    更新日期:2019-12-01 00:00:00

  • Marine reserves with ecological uncertainty.

    abstract::To help manage the fluctuations inherent in fish populations scientists have argued for both an ecosystem approach to management and the greater use of marine reserves. Support for reserves includes empirical evidence that they can raise the spawning biomass and mean size of exploited populations, increase the abundan...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1016/j.bulm.2004.11.006

    authors: Grafton RQ,Kompas T,Lindenmayer D

    更新日期:2005-09-01 00:00:00

  • An Alternative to Moment Closure.

    abstract::Moment closure methods are widely used to analyze mathematical models. They are specifically geared toward derivation of approximations of moments of stochastic models, and of similar quantities in other models. The methods possess several weaknesses: Conditions for validity of the approximations are not known, magnit...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-017-0321-2

    authors: Nåsell I

    更新日期:2017-09-01 00:00:00

  • Temperature- and Turbidity-Dependent Competitive Interactions Between Invasive Freshwater Mussels.

    abstract::We develop a staged-structured population model that describes the competitive dynamics of two functionally similar, congeneric invasive species: zebra mussels and quagga mussels. The model assumes that the population survival rates are functions of temperature and turbidity, and that the two species compete for food....

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-016-0146-4

    authors: Huang Q,Wang H,Ricciardi A,Lewis MA

    更新日期:2016-03-01 00:00:00

  • A mathematical model for elongation of a peptide chain.

    abstract::A mathematical model is presented for the steps in the elongation process, and the steady-state elongation rate as a function of the amino acid concentrations is found. In addition, the reset sub-process of the elongation process is modeled. The rate of elongation of peptide chains is found to be a function of the con...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1016/S0092-8240(03)00076-4

    authors: Heyd A,Drew DA

    更新日期:2003-11-01 00:00:00

  • Susceptibilities of an irreversible Michaelis-Menten enzyme.

    abstract::The nonlinear response of the simplest irreversible Michaelis-Menten enzyme is considered. In the context of metabolic networks, i.e. in vivo, the enzyme is subject to sustained, frequently time-dependent, input fluxes that keep the system out of equilibrium. The connection between the fluxes and the response is inves...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-006-9111-y

    authors: Torralba AS,Rodríguez Y

    更新日期:2006-08-01 00:00:00

  • Fire-diffuse-fire calcium waves in confined intracellular spaces.

    abstract::The propagation of fire-diffuse-fire Ca(2+) waves through a three-dimensional rectangular domain is considered. The domain is infinite in extent in the direction of propagation but with lateral barriers to diffusion which contain Ca(2+) pumps. The Ca(2+) concentration profile due to the firing of a release site (spark...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1016/S0092-8240(03)00074-0

    authors: Lemon G

    更新日期:2004-01-01 00:00:00

  • Dicarboxylic acid fluxes during gluconeogenesis. No channelling of mitochondrial oxalacetate.

    abstract::A rather complete model of the gluconeogenic pathway was used, with the known separate pools of mitochondrial and cytosolic oxalacetate, malate and aspartate. The fumarase, malate dehydrogenase and glutamate oxalacetate transaminase reactions were assumed to be isotopically actively reversible, but none at isotopic eq...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/BF02460783

    authors: Rognstad R

    更新日期:1995-07-01 00:00:00

  • Optimal control in a model of dendritic cell transfection cancer immunotherapy.

    abstract::We construct a population dynamics model of the competition among immune system cells and generic tumor cells. Then, we apply the theory of optimal control to find the optimal schedule of injection of autologous dendritic cells used as immunotherapeutic agent. The optimization method works for a general ODE system and...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-005-9014-3

    authors: Castiglione F,Piccoli B

    更新日期:2006-02-01 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

  • Theory for the feedback inhibition of fast release of neurotransmitter.

    abstract::Autoinhibition of neurotransmitter release occurs via binding of transmitter to appropriate receptors. Experiments have provided evidence suggesting that the control of neurotransmitter release in fast systems is mediated by these inhibitory autoreceptors. Earlier, the authors formulated and analysed a mathematical mo...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1006/bulm.2000.0174

    authors: Yusim K,Parnas H,Segel LA

    更新日期:2000-07-01 00:00:00

  • B7-h1 and a mathematical model for cytotoxic T cell and tumor cell interaction.

    abstract::The surface protein B7-H1, also called PD-L1 and CD274, is found on carcinomas of the lung, ovary, colon, and melanomas but not on most normal tissues. B7-H1 has been experimentally determined to be an antiapoptotic receptor on cancer cells, where B7-H1-positive cancer cells have been shown to be immune resistant, and...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-011-9665-1

    authors: Galante A,Tamada K,Levy D

    更新日期:2012-01-01 00:00:00

  • A theoretical analysis of temporal difference learning in the iterated prisoner's dilemma game.

    abstract::Direct reciprocity is a chief mechanism of mutual cooperation in social dilemma. Agents cooperate if future interactions with the same opponents are highly likely. Direct reciprocity has been explored mostly by evolutionary game theory based on natural selection. Our daily experience tells, however, that real social a...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-009-9424-8

    authors: Masuda N,Ohtsuki H

    更新日期:2009-11-01 00:00:00

  • The effect of chemical information on the spatial distribution of fruit flies: II Parameterization, calibration, and sensitivity.

    abstract::In a companion paper (Lof et al., in Bull. Math. Biol., 2008), we describe a spatio-temporal model for insect behavior. This model includes chemical information for finding resources and conspecifics. As a model species, we used Drosophila melanogaster, because its behavior is documented comparatively well. We divide ...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-008-9329-y

    authors: de Gee M,Lof ME,Hemerik L

    更新日期:2008-10-01 00:00:00

  • Analysis of Multilevel Replicator Dynamics for General Two-Strategy Social Dilemma.

    abstract::Here, we consider a game-theoretic model of multilevel selection in which individuals compete based on their payoff and groups also compete based on the average payoff of group members. Our focus is on multilevel social dilemmas: games in which individuals are best off cheating, while groups of individuals do best whe...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-020-00742-x

    authors: Cooney DB

    更新日期:2020-05-30 00:00:00

  • Modelling directional guidance and motility regulation in cell migration.

    abstract::Although cell migration is an essential process in development, how cells reach their final destination is not well understood. Secreted molecules are known to have a migratory effect, but it remains unclear whether such molecules act as directional guidance cues or as motility regulators. There is potential to use si...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-005-9028-x

    authors: Cai AQ,Landman KA,Hughes BD

    更新日期:2006-01-01 00:00:00

  • Distribution of the number of matches between nucleotide sequences.

    abstract::When two strings of symbols are aligned it is important to know whether the observed number of matches is better than that expected between two independent sequences with the same frequency of symbols. When strings are of different lengths, nulls need to be inserted in order to align the sequences. One approach is to ...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/BF02458576

    authors: Rinsma I,Hendy M,Penny D

    更新日期:1990-01-01 00:00:00

  • In silico synergism and antagonism of an anti-tumour system intervened by coupling immunotherapy and chemotherapy: a mathematical modelling approach.

    abstract::Based on the logistic growth law for a tumour derived from enzymatic dynamics, we address from a physical point of view the phenomena of synergism, additivity and antagonism in an avascular anti-tumour system regulated externally by dual coupling periodic interventions, and propose a theoretical model to simulate the ...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-011-9693-x

    authors: Hu WY,Zhong WR,Wang FH,Li L,Shao YZ

    更新日期:2012-02-01 00:00:00

  • Cell physician: reading cell motion: a mathematical diagnostic technique through analysis of single cell motion.

    abstract::Cell motility is an essential phenomenon in almost all living organisms. It is natural to think that behavioral or shape changes of a cell bear information about the underlying mechanisms that generate these changes. Reading cell motion, namely, understanding the underlying biophysical and mechanochemical processes, i...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-010-9580-x

    authors: Coskun H,Coskun H

    更新日期:2011-03-01 00:00:00

  • Memory but no suppression in low-dimensional symmetric idiotypic networks.

    abstract::We present a new symmetric model of the idiotypic immune network. The model specifies clones of B-lymphocytes and incorporates: (1) influx and decay of cells; (2) symmetric stimulatory and inhibitory idiotypic interactions; (3) an explicit affinity parameter (matrix); (4) external (i.e. non-idiotypic) antigens. Suppre...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/BF02458444

    authors: De Boer RJ,Hogeweg P

    更新日期:1989-01-01 00:00:00

  • Biomechanical modelling of colorectal crypt budding and fission.

    abstract::This paper presents a biomechanical model for the small pits, called crypts, that line the colon. A continuum approach is adopted, with the crypt epithelium modelled as a growing beam attached to the underlying lamina by cell bonds, which generate tension within the layer. These cell attachments are assumed to be visc...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-007-9199-8

    authors: Edwards CM,Chapman SJ

    更新日期:2007-08-01 00:00:00

  • Network development in biological gels: role in lymphatic vessel development.

    abstract::In this paper, we present a model that explains the prepatterning of lymphatic vessel morphology in collagen gels. This model is derived using the theory of two phase rubber material due to Flory and coworkers and it consists of two coupled fourth order partial differential equations describing the evolution of the co...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-008-9324-3

    authors: Roose T,Fowler AC

    更新日期:2008-08-01 00:00:00

  • Multiscale Persistent Functions for Biomolecular Structure Characterization.

    abstract::In this paper, we introduce multiscale persistent functions for biomolecular structure characterization. The essential idea is to combine our multiscale rigidity functions (MRFs) with persistent homology analysis, so as to construct a series of multiscale persistent functions, particularly multiscale persistent entrop...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-017-0362-6

    authors: Xia K,Li Z,Mu L

    更新日期:2018-01-01 00:00:00

  • Speed of pattern appearance in reaction-diffusion models: implications in the pattern formation of limb bud mesenchyme cells.

    abstract::It has been postulated that fibroblast growth factor (FGF) treatment of cultured limb bud mesenchyme cells reinforces the lateral inhibitory effect, but the cells also show accelerated pattern appearance. In the present study, we analyze how a small change in a specific parameter affects the speed of pattern appearanc...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1016/j.bulm.2003.09.009

    authors: Miura T,Maini PK

    更新日期:2004-07-01 00:00:00

  • Mathematical Model of Interaction Between Bacteriocin-Producing Lactic Acid Bacteria and Listeria. Part 1: Steady States and Thresholds.

    abstract::Mathematical modeling is an important tool to assessing quantitative conjectures and to answer specific questions. In the modeling, we assume that a competitor represented by a lactic acid bacterium produces antimicrobial compounds (substances that kill microorganisms or inhibit their growth), such as lactic acid and ...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-017-0302-5

    authors: Delboni RR,Yang HM

    更新日期:2017-07-01 00:00:00

  • Deterministic versus stochastic cell polarisation through wave-pinning.

    abstract::Cell polarization is an important part of the response of eukaryotic cells to stimuli, and forms a primary step in cell motility, differentiation, and many cellular functions. Among the important biochemical players implicated in the onset of intracellular asymmetries that constitute the early phases of polarization a...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-012-9766-5

    authors: Walther GR,Marée AF,Edelstein-Keshet L,Grieneisen VA

    更新日期:2012-11-01 00:00:00

  • Two-Phase Acto-Cytosolic Fluid Flow in a Moving Keratocyte: A 2D Continuum Model.

    abstract::The F-actin network and cytosol in the lamellipodia of crawling cells flow in a centripetal pattern and spout-like form, respectively. We have numerically studied this two-phase flow in the realistic geometry of a moving keratocyte. Cytosol has been treated as a low viscosity Newtonian fluid flowing through the high v...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-015-0105-5

    authors: Nikmaneshi MR,Firoozabadi B,Saidi MS

    更新日期:2015-09-01 00:00:00

  • Consequences of dispersal heterogeneity for population spread and persistence.

    abstract::Dispersal heterogeneity is increasingly being observed in ecological populations and has long been suspected as an explanation for observations of non-Gaussian dispersal. Recent empirical and theoretical studies have begun to confirm this. Using an integro-difference model, we allow an individual's diffusivity to be d...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-014-0014-z

    authors: Stover JP,Kendall BE,Nisbet RM

    更新日期:2014-11-01 00:00:00