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-scoring systems and differentiates between sepsis and non-infectious SIRS. The resulting model, the Learned-Age (LA) -Sepsis CPN has good discriminatory ability for the prediction of 30-day mortality with an area under the ROC curve of 0.79. This result compares well to existing scoring systems. The LA-Sepsis CPN also has a modest ability to discriminate between sepsis and non-infectious SIRS.

journal_name

Math Biosci

journal_title

Mathematical biosciences

authors

Ward L,Paul M,Andreassen S

doi

10.1016/j.mbs.2016.11.004

subject

Has Abstract

pub_date

2017-02-01 00:00:00

pages

12-20

eissn

0025-5564

issn

1879-3134

pii

S0025-5564(16)30291-7

journal_volume

284

pub_type

杂志文章
  • Exploration of the intercellular heterogeneity of topotecan uptake into human breast cancer cells through compartmental modelling.

    abstract::A mathematical multi-cell model for the in vitro kinetics of the anti-cancer agent topotecan (TPT) following administration into a culture medium containing a population of human breast cancer cells (MCF-7 cell line) is described. This non-linear compartmental model is an extension of an earlier single-cell type model...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2008.03.008

    authors: Cheung SY,Evans ND,Chappell MJ,Godfrey KR,Smith PJ,Errington RJ

    更新日期:2008-06-01 00:00:00

  • A computer exploration of some properties of non-linear stochastic partnership models for sexually transmitted diseases with stages.

    abstract::In this paper, branching process approximations to non-linear stochastic partnership models for sexually transmitted diseases in heterosexual populations were used to find points in the parameter space such that an epidemic would occur. At selected points in the parameter space, samples of Monte Carlo realizations of ...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/s0025-5564(98)10063-9

    authors: Sleeman CK,Mode CJ

    更新日期:1999-03-01 00:00:00

  • Spectra-based estimates of certain time-domain parameters of a bivariate stationary-point process.

    abstract::We consider estimates of certain time-domain parameters of a bivariate stationary-point process based on modified periodogram statistics. These estimates are shown to be asymptotically normal under regularity conditions. In the computations of the estimates, the advantage of using the FFT algorithm is demonstrated. Th...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/0025-5564(91)90061-m

    authors: Rigas AG

    更新日期:1991-05-01 00:00:00

  • Risk perception and effectiveness of uncoordinated behavioral responses in an emerging epidemic.

    abstract::Beyond control measures imposed by public authorities, human behavioral changes can be triggered by uncoordinated responses driven by the risk perception of an emerging epidemic. In order to account for spontaneous social distancing, a model based on an evolutionary game theory framework is here proposed. Behavioral c...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2012.04.003

    authors: Poletti P,Ajelli M,Merler S

    更新日期:2012-08-01 00:00:00

  • Some factors affecting oxygen uptake by red blood cells in the pulmonary capillaries.

    abstract::In this study we investigate the equations governing the transport of oxygen in pulmonary capillaries. We use a mathematical model consisting of a red blood cell completely surrounded by plasma within a cylindrical pulmonary capillary. This model takes account of convection and diffusion of oxygen through plasma, diff...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/s0025-5564(00)00060-2

    authors: Whiteley JP,Gavaghan DJ,Hahn CE

    更新日期:2001-02-01 00:00:00

  • Closure operations in phylogenetics.

    abstract::Closure operations are a useful device in both the theory and practice of tree reconstruction in biology and other areas of classification. These operations take a collection of trees (rooted or unrooted) that classify overlapping sets of objects at their leaves, and infer further tree-like relationships. In this pape...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2006.11.005

    authors: Grünewald S,Steel M,Swenson MS

    更新日期:2007-08-01 00:00:00

  • An agent-based modeling framework linking inflammation and cancer using evolutionary principles: description of a generative hierarchy for the hallmarks of cancer and developing a bridge between mechanism and epidemiological data.

    abstract::Inflammation plays a critical role in the development and progression of cancer, evident in multiple patient populations manifesting increased, non-resolving inflammation, such as inflammatory bowel disease, viral hepatitis and obesity. Given the complexity of both the inflammatory response and the process of oncogene...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2014.07.009

    authors: An G,Kulkarni S

    更新日期:2015-02-01 00:00:00

  • A mathematical investigation of the effects of inhibitor therapy on three putative phosphorylation cascades governing the two-component system of the agr operon.

    abstract::Two-component systems (TCSs) are widely employed by bacteria to sense specific external signals and conduct an appropriate response via a phosphorylation cascade within the cell. The TCS of the agr operon in the bacterium Staphylococcus aureus forms part of a regulatory process termed quorum sensing, a cell-to-cell co...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2010.03.001

    authors: Jabbari S,King JR,Williams P

    更新日期:2010-06-01 00:00:00

  • Problems with the WHO TB model.

    abstract::WHO tuberculosis researchers recently published a mathematical model to predict TB incidence decline with fulfillment of Sustainable Development Goal (SDG) subtargets [1]. This model omitted the subtargets of land rights and basic services and of reduction in deaths from climatic disaster, likely highly influential fa...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2019.05.002

    authors: Wallace D,Wallace R

    更新日期:2019-07-01 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

  • Strain driven transport for bone modeling at the periosteal surface.

    abstract::Bone modeling and remodeling has been the subject of extensive experimental studies. There have been several mathematical models proposed to explain the observed behavior, as well. A different approach is taken here in which the bone is treated from a macroscopic view point. In this investigation, a one-dimensional an...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2010.12.008

    authors: Banks-Sills L,Ståhle P,Svensson I,Eliaz N

    更新日期:2011-03-01 00:00:00

  • Permanence of sparse catalytic networks.

    abstract::Some global dynamical properties of catalytic networks, in particular permanence, are closely related with a directed graph representing the differential equation. It can be shown that for every directed graph with a Hamiltonian circuit there is a choice of rate constants such that the system is permanent. On the othe...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/0025-5564(95)00033-x

    authors: Stadler PF,Schuster P

    更新日期:1996-01-15 00:00:00

  • Random and non-random mating populations: Evolutionary dynamics in meiotic drive.

    abstract::Game theoretic tools are utilized to analyze a one-locus continuous selection model of sex-specific meiotic drive by considering nonequivalence of the viabilities of reciprocal heterozygotes that might be noticed at an imprinted locus. The model draws attention to the role of viability selections of different types to...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2015.10.013

    authors: Sarkar B

    更新日期:2016-01-01 00:00:00

  • Threshold parameters for epidemics in different community settings.

    abstract::Threshold parameters of epidemic models play a central role in the assessment of proposed control strategies for infectious diseases. They have been determined for numerous standard epidemic models. This paper points out, with several examples, that threshold parameters depend on the social setting of the community an...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/0025-5564(94)00061-4

    authors: Becker NG,Bahrampour A,Dietz K

    更新日期:1995-10-01 00:00:00

  • Estimating an oncogenetic tree when false negatives and positives are present.

    abstract::Human solid tumors are believed to be caused by a sequence of genetic abnormalities arising in the tumor cells. The understanding of these sequences is extremely important for improving cancer treatment. Models for the occurrence of the abnormalities include linear structure and a recently proposed tree-based structur...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/s0025-5564(02)00086-x

    authors: Szabo A,Boucher K

    更新日期:2002-04-01 00:00:00

  • Multiscale modelling of saliva secretion.

    abstract::We review a multiscale model of saliva secretion, describing in brief how the model is constructed and what we have so far learned from it. The model begins at the level of inositol trisphosphate receptors (IPR), and proceeds through the cellular level (with a model of acinar cell calcium dynamics) to the multicellula...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2014.06.017

    authors: Sneyd J,Crampin E,Yule D

    更新日期:2014-11-01 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

  • Necessary and sufficient conditions for the existence of certain quadratic invariants under a phylogenetic tree.

    abstract::Invariants are functions of the probabilities of state configurations among lineages, with expected values equal to zero under certain phylogenies. For two-state sequences, the existence of certain quadratic invariants requires a symmetric substitution model. For sequences with more than two states, the necessary cond...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/0025-5564(91)90083-u

    authors: Fu YX,Li WH

    更新日期:1991-07-01 00:00:00

  • A novel algorithm for tracing the interaction of a track with molecular targets--use of Delaunay triangulation.

    abstract::This paper describes an efficient method for tracing interactions between a radiation track and molecular targets in a cell or nucleus. The method is efficient because it ensures that a minimal subset of interactions in the track needs to be tested for each score. It is most useful for high-energy particles since the ...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/s0025-5564(98)10045-7

    authors: Fitzsimons CJ,Nikjoo H,Bolton CE,Goodhead DT

    更新日期:1998-12-15 00:00:00

  • Spreading speeds as slowest wave speeds for cooperative systems.

    abstract::It is well known that in many scalar models for the spread of a fitter phenotype or species into the territory of a less fit one, the asymptotic spreading speed can be characterized as the lowest speed of a suitable family of traveling waves of the model. Despite a general belief that multi-species (vector) models hav...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2005.03.008

    authors: Li B,Weinberger HF,Lewis MA

    更新日期:2005-07-01 00:00:00

  • Lotka-Volterra representation of general nonlinear systems.

    abstract::In this article we elaborate on the structure of the generalized Lotka-Volterra (GLV) form for nonlinear differential equations. We discuss here the algebraic properties of the GLV family, such as the invariance under quasimonomial transformations and the underlying structure of classes of equivalence. Each class poss...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/s0025-5564(96)00131-9

    authors: Hernández-Bermejo B,Fairén V

    更新日期:1997-02-01 00:00:00

  • Modeling multispecies biofilms including new bacterial species invasion.

    abstract::A mathematical model for multispecies biofilm evolution based on continuum approach and mass conservation principles is presented. The model can describe biofilm growth dynamics including spatial distribution of microbial species, substrate concentrations, attachment, and detachment, and, in particular, is able to pre...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2014.10.009

    authors: D'Acunto B,Frunzo L,Klapper I,Mattei MR

    更新日期:2015-01-01 00:00:00

  • An epidemic model with fatal risk.

    abstract::A new epidemic model is developed that describes the spread of an infectious disease with fatal risk. The model includes as extreme cases the standard general epidemic process (for diseases that confer immunity after infection) and the fatal epidemic process (for diseases that lead inevitably to death). Both determini...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/0025-5564(93)90019-7

    authors: Lefèvre C,Picard P

    更新日期:1993-09-01 00:00:00

  • A new approach to reconstruction models of dendritic branching patterns.

    abstract::Quantitative models for characterising the detailed branching patterns of dendritic trees aim to explain these patterns either in terms of growth models based on principles of dendritic development or reconstruction models that describe an existing structure by means of a canonical set of elementary properties of dend...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2006.08.005

    authors: Lindsay KA,Maxwell DJ,Rosenberg JR,Tucker G

    更新日期:2007-02-01 00:00:00

  • Metabolic isotopomer labeling systems. Part III: path tracing.

    abstract::Isotope labeling systems (ILSs) are sets of balance equations that quantitatively describe the distribution of isotopic tracers in metabolic networks. The solution of ILSs, i.e., the calculation of isotopic labeling distributions (mostly in steady state) is the fundamental computational step of (13)C metabolic flux an...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2013.02.012

    authors: Wiechert W,Nöh K,Weitzel M

    更新日期:2013-07-01 00:00:00

  • Heterogeneity in dynamic species abundance models: the selective effect of extinction processes.

    abstract::There is often large variation in traits across the species of a community. In particular, variation in life history traits affecting population dynamics is likely to affect the species abundance distribution. Applying a dynamic and heterogeneous species abundance model we study how differences in extinction time for ...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2007.06.002

    authors: Engen S

    更新日期:2007-12-01 00:00:00

  • A differential-delay model of pasture accumulation and loss in controlled grazing systems.

    abstract::A grazing population dynamics model is proposed where organisms in a grazed population have a fixed life span. The motivating context is that of ruminants grazing grass-dominant pasture. The model takes the form of a differential-delay equation in which the rate of loss of pasture due to senescence at some time depend...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/0025-5564(94)90031-0

    authors: Woodward SJ,Wake GC

    更新日期:1994-05-01 00:00:00

  • A geometrical model for diffusion of hydrophilic compounds in human stratum corneum.

    abstract::A three-dimensional diffusion model with either hexagonal or cylindrical symmetry has been constructed to simulate desorption profiles of hydrophilic chemicals from the topmost layer of human skin (the stratum corneum) as measured in ex vivo studies. The tissue is pierced by skin appendages - sweat glands and hair fol...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2018.03.010

    authors: Yu F,Kasting GB

    更新日期:2018-06-01 00:00:00

  • Aggregation is the key to succeed in random walks.

    abstract::In a random walk (RW) in Z an individual starts at 0 and moves at discrete unitary steps to the right or left with respective probabilities p and 1-p. Assuming p > 1/2 and finite a, a > 1, the probability that state a will be reached before -a is Q(a, p) where Q(a, p) > p. Here we introduce the cooperative random walk...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2016.06.011

    authors: Hernandez-Suarez CM

    更新日期:2016-09-01 00:00:00

  • Wave of chaos in a spatial eco-epidemiological system: Generating realistic patterns of patchiness in rabbit-lynx dynamics.

    abstract::In the present paper, we propose and analyze an eco-epidemiological model with diffusion to study the dynamics of rabbit populations which are consumed by lynx populations. Existence, boundedness, stability and bifurcation analyses of solutions for the proposed rabbit-lynx model are performed. Results show that in the...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2016.08.014

    authors: Upadhyay RK,Roy P,Venkataraman C,Madzvamuse A

    更新日期:2016-11-01 00:00:00