Stochastic optimal therapy for enhanced immune response.

Abstract:

:Therapeutic enhancement of humoral immune response to microbial attack is addressed as the stochastic optimal control of a dynamic system. Without therapy, the modeled immune response depends upon the initial concentration of pathogens in a simulated attack. Immune response can be augmented by agents that kill the pathogen directly, that stimulate the production of plasma cells or antibodies, or that enhance organ health. Using a generic mathematical model of immune response to the infection (i.e., of the dynamic state of the system), previous papers demonstrated optimal (open-loop) and neighboring-optimal (closed-loop) control solutions that defeat the pathogen and preserve organ health, given initial conditions that otherwise would be lethal [Optimal Contr. Appl. Methods 23 (2002) 91, Bioinformatics 18 (2002) 1227]. Therapies based on separate and combined application of the agents were derived by minimizing a quadratic cost function that weighted both system response and drug usage, providing implicit control over harmful side effects. Here, we focus on the effects that corrupted or incomplete measurements of the dynamic state may have on neighboring-optimal feedback control. Imperfect measurements degrade the precision of feedback adjustments to therapy; however, optimal state estimation allows the feedback strategy to be implemented with incomplete measurements and minimizes the expected effects of measurement error. Complete observability of the perturbed state for this four state example is provided by measurement of four of the six possible pairs of two variables, either set of three variables, or all four variables. The inclusion of state estimation extends the applicability of optimal control theory for developing new therapeutic protocols to enhance immune response.

journal_name

Math Biosci

journal_title

Mathematical biosciences

authors

Stengel RF,Ghigliazza R

doi

10.1016/j.mbs.2004.06.004

subject

Has Abstract

pub_date

2004-10-01 00:00:00

pages

123-42

issue

2

eissn

0025-5564

issn

1879-3134

pii

S0025-5564(04)00120-8

journal_volume

191

pub_type

杂志文章
  • Stability and Hopf bifurcation for a prey-predator model with prey-stage structure and diffusion.

    abstract::In this paper, we first propose a prey-predator model with prey-stage structure and diffusion. Then we discuss the following three problems: (1) stability of non-negative constant steady states for the reduced ODE system and the corresponding reaction diffusion system with homogeneous Neumann boundary conditions; (2) ...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2007.08.008

    authors: Wang M

    更新日期:2008-04-01 00:00:00

  • Waves of extinction from sterile insect release.

    abstract::Employing theoretical models, we show that the sterile insect release method (SIRM) can give rise to traveling waves of fertile insects. The velocity of these waves depends critically upon the density of sterile insects (and thus upon the rate at which sterile individuals are being released into the environment). When...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/0025-5564(93)90067-k

    authors: Lewis MA,van den Driessche P

    更新日期:1993-08-01 00:00:00

  • A density-dependent model of competition for one resource in the chemostat.

    abstract::This paper deals with a two-microbial species model in competition for a single-resource in the chemostat including general intra- and interspecific density-dependent growth rates with distinct removal rates for each species. In order to understand the effects of intra- and interspecific interference, this general mod...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2017.02.007

    authors: Fekih-Salem R,Lobry C,Sari T

    更新日期:2017-04-01 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

  • Quantification of the effect of control strategies on classical swine fever epidemics.

    abstract::Emergency vaccination during an epidemic of classical swine fever virus (CSFV) has become a serious option because of the ethical problems of strategies with massive culling and the availability of a marker vaccine that reduces virus transmission. Here we present a model of between-herd CSFV transmission, which quanti...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2003.08.005

    authors: Klinkenberg D,Everts-van der Wind A,Graat EA,de Jong MC

    更新日期:2003-12-01 00:00:00

  • Evaluating treatment of hepatitis C for hemolytic anemia management.

    abstract::The combination therapy of antiviral peg-interferon and ribavirin has evolved as one of the better treatments for hepatitis C. In spite of its success in controlling hepatitis C infection, it has also been associated with treatment-related adverse side effects. The most common and life threatening among them is hemoly...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2010.02.005

    authors: DebRoy S,Kribs-Zaleta C,Mubayi A,Cardona-Meléndez GM,Medina-Rios L,Kang M,Diaz E

    更新日期:2010-06-01 00:00:00

  • Models to assess the effects of non-identical sex ratio augmentations of Wolbachia-carrying mosquitoes on the control of dengue disease.

    abstract::The introduction of endosymbiont Wolbachia into laboratory-reared mosquito populations, which are then released to mix with natural populations to prevent the mosquito vectors from reproducing and thus break the transmission cycle of dengue disease, is an innovative new technology. Field trials of Wolbachia-carrying m...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2018.03.003

    authors: Zhang X,Tang S,Liu Q,Cheke RA,Zhu H

    更新日期:2018-05-01 00:00:00

  • A sigmoidal model for biosorption of heavy metal cations from aqueous media.

    abstract::A novel multi-input single output (MISO) black-box sigmoid model is developed to simulate the biosorption of heavy metal cations by the fission yeast from aqueous medium. Validation and verification of the model is done through statistical chi-squared hypothesis tests and the model is evaluated by uncertainty and sens...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2015.04.007

    authors: Özen R,Sayar NA,Durmaz-Sam S,Sayar AA

    更新日期:2015-07-01 00:00:00

  • A mathematical model of cancer chemotherapy with an optimal selection of parameters.

    abstract::An optimal parameter selection model of cancer chemotherapy is presented which describes the treatment of a tumor over a fixed period of time by the repeated administration of a single drug. The drug is delivered at evenly spaced intervals over the treatment period at doses to be selected by the model. The model const...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/0025-5564(90)90005-j

    authors: Martin RB,Fisher ME,Minchin RF,Teo KL

    更新日期:1990-05-01 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

  • 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

  • Formulating spread of species with habitat dependent growth and dispersal in heterogeneous landscapes.

    abstract::Habitat heterogeneity can have profound effects on the spreading dynamics of invasive species. Using integro-difference equations, we investigate the spreading dynamics in a one-dimensional heterogeneous landscape comprising alternating favourable and unfavourable habitat patches or randomly generated habitat patches ...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2016.02.013

    authors: Ramanantoanina A,Hui C

    更新日期:2016-05-01 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

  • Hopf bifurcation in pioneer-climax competing species models.

    abstract::Two-dimensional pioneer-climax models of competing species differential equations are introduced and examined. The per capita growth rates are functions of weighted densities of the individual species. Constant rate forcing is added representing stocking or harvesting. The ensuring stability properties of interior equ...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/s0025-5564(96)00065-x

    authors: Sumner S

    更新日期:1996-10-01 00:00:00

  • A one-dimensional map to study multi-seasonal coffee infestation by the coffee berry borer.

    abstract::The coffee berry borer (CBB, Hypothenemus hampei) is the most serious insect pest of coffee worldwide; understanding the dynamics of its reproduction is essential for pest management. The female CBB penetrates the coffee berry, eats the seed, and reproduces inside it. A mathematical model of the infestation progress o...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2020.108530

    authors: Marcano M,Bose A,Bayman P

    更新日期:2021-01-21 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

  • 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

  • Closed-loop stability of pharmacokinetic-pharmacodynamic models.

    abstract::In automatic feedback control of intravenous drug infusions, convergence to the setpoint is an important objective. This paper examines the stability of pharmacokinetic-pharmacodynamic models of patient response regulated with proportional integral feedback. The model consists of three components: linear compartmental...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/s0025-5564(97)00076-x

    authors: Wada DR

    更新日期:1997-12-01 00:00:00

  • Strategies for representing metabolic pathways within biochemical systems theory: reversible pathways.

    abstract::The search for systematic methods to deal with the integrated behavior of complex biochemical systems has over the past two decades led to the proposal of several theories of biochemical systems. Among the most promising is biochemical systems theory (BST). Recent comparisons of this theory with several others that ha...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章,评审

    doi:10.1016/0025-5564(89)90066-7

    authors: Sorribas A,Savageau MA

    更新日期:1989-06-01 00:00:00

  • Mathematical modeling of perifusion cell culture experiments on GnRH signaling.

    abstract::The effects of pulsatile GnRH stimulation on anterior pituitary cells are studied using perifusion cell cultures, where constantly moving culture medium over the immobilized cells allows intermittent GnRH delivery. The LH content of the outgoing medium serves as a readout of the GnRH signaling pathway activation in th...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2016.03.016

    authors: Temamogullari NE,Nijhout HF,C Reed M

    更新日期:2016-06-01 00:00:00

  • Assessing three fish species ecological status in Colorado River, Grand Canyon based on physical habitat and population models.

    abstract::Colorado River is a unique ecosystem and provides important ecological services such as habitat for fish species as well as water power energy supplies. River management for this ecosystem requires assessment and decision support tools for fish which involves protecting, restoring as well as forecasting of future cond...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2018.02.006

    authors: Yao W,Chen Y

    更新日期:2018-04-01 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

  • 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

  • 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

  • Dynamical entropy via entropy of non-random matrices: application to stability and complexity in modelling ecosystems.

    abstract::In the present paper we have first introduced a measure of dynamical entropy of an ecosystem on the basis of the dynamical model of the system. The dynamical entropy which depends on the eigenvalues of the community matrix of the system leads to a consistent measure of complexity of the ecosystem to characterize the d...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2013.07.016

    authors: Chakrabarti CG,Ghosh K

    更新日期:2013-10-01 00:00:00

  • The agreement metric for labeled binary trees.

    abstract::Let S be a set of n objects. A binary tree of S is a binary tree whose leaves are labeled without repetition from S. The operation of pruning a tree T is that of removing some leaves from T and suppressing all inner vertices of degree 2 which are formed by this deletion. Given two trees T and U, an agreement tree is a...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/0025-5564(94)90012-4

    authors: Goddard W,Kubicka E,Kubicki G,McMorris FR

    更新日期:1994-10-01 00:00:00

  • Delay equation analysis of human respiratory stability.

    abstract::A mathematical analysis of the stability in human respiration, based on the tau-decomposition method, is conducted on a simple, but realistic CO2 model of the respiratory system. This model incorporates a two-compartment representation (lungs and tissues) for the plant and a very general class of controller. By derivi...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/s0025-5564(98)10028-7

    authors: Vielle B,Chauvet G

    更新日期:1998-09-01 00:00:00

  • Theoretical analysis of lethal factors in plant populations.

    abstract::In this article, we are interested in the problem of the existence of a few linkage groups in which lethal infertile genes associated with yield factors are present. This hypothesis is supported by the finding of natural balanced lethal systems, which keep a short heterotic chromosome segment. It is very important to ...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/s0025-5564(96)00132-0

    authors: Ronceros RB,Sorarrain O,Salerno JC,Favret EA

    更新日期:1997-03-01 00:00:00

  • Maximum sustainable yield with continuous age structure and density-dependent recruitment.

    abstract::The problem addressed is that of finding the harvesting policy that will maximize the yield and maintain a given population in a steady state. It is assumed that the equations describing the evolution of the population and the yield are linear but that the equation describing reproduction is nonlinear (density depende...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/0025-5564(94)90039-6

    authors: Dacorogna B,Weissbaum F,Arditi R

    更新日期:1994-03-01 00:00:00

  • The influence of concurrent partnerships on the dynamics of HIV/AIDS.

    abstract::Most models of the spread of HIV/AIDS assume that the probability of transmission from an infected individual to a susceptible partner has some constant value per sexual act, compounding independently randomly (so that ten acts with one person chosen from a particular group has, on average, the same risk as one act wi...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/0025-5564(92)90006-i

    authors: Watts CH,May RM

    更新日期:1992-02-01 00:00:00