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 death of cells. The present work therefore studies the effect of bottleneck on product concentrations under different product toxicity conditions. A generalized bottleneck model in a fed-batch fermentation is constructed including both the bottleneck and the product influences on cell growth and death. The simulation result reveals that when the toxic product strongly influences the cell growth and death, the final product concentration is hardly changed even if the bottleneck is removed, whereas it is markedly changed by the degree of product toxicity. The performance of an ethanol fermentation process is also discussed as a case example to validate this result. In conclusion, when the product is highly toxic, one cannot expect a significant increase in the final product concentration even if removing the bottleneck; rather, it may be more effective to somehow protect the cells so that they can continuously produce the product.

journal_name

Math Biosci

journal_title

Mathematical biosciences

authors

Sriyudthsak K,Shiraishi F

doi

10.1016/j.mbs.2010.08.001

subject

Has Abstract

pub_date

2010-11-01 00:00:00

pages

1-9

issue

1

eissn

0025-5564

issn

1879-3134

pii

S0025-5564(10)00121-5

journal_volume

228

pub_type

杂志文章
  • Analyzing gene expression time-courses based on multi-resolution shape mixture model.

    abstract:OBJECTIVE:Biological processes actually are a dynamic molecular process over time. Time course gene expression experiments provide opportunities to explore patterns of gene expression change over a time and understand the dynamic behavior of gene expression, which is crucial for study on development and progression of ...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2016.08.012

    authors: Li Y,He Y,Zhang Y

    更新日期:2016-11-01 00:00:00

  • An analytical solution for percutaneous drug absorption: application and removal of the vehicle.

    abstract::The methods of Laplace transform were used to solve a mathematical model developed for percutaneous drug absorption. This model includes application and removal of the vehicle from the skin. A system of two linear partial differential equations was solved for the application period. The concentration of the medicinal ...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2005.07.002

    authors: Simon L,Loney NW

    更新日期:2005-10-01 00:00:00

  • On the importance of risky behavior in the transmission of sexually transmitted diseases.

    abstract::We consider a population with two types of individuals: those who engage in risky sexual behavior (the core) and those who do not (the majority). We are interested in the situation where the majority would not be able to sustain an epidemic without the presence of a core. We show that even if the core is randomly spre...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/s0025-5564(01)00071-2

    authors: Schinazi RB

    更新日期:2001-09-01 00:00:00

  • Infection dynamics in HIV-specific CD4 T cells: does a CD4 T cell boost benefit the host or the virus?

    abstract::Recent experimental data have shown that HIV-specific CD4 T cells provide a very important target for HIV replication. We use mathematical models to explore the effect of specific CD4 T cell infection on the dynamics of virus spread and immune responses. Infected CD4 T cells can provide antigen for their own stimulati...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2007.01.007

    authors: Wodarz D,Hamer DH

    更新日期:2007-09-01 00:00:00

  • 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

  • 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

  • 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

  • Spatial Mendelian games.

    abstract::This paper considers complex models arising in sociobiology. These combine genetic and strategic aspects to model the effect of gene-linked strategies on the ability of individuals to survive to maturity, mate and produce offspring. Several important models considered in the literature are generalised and extended to ...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/s0025-5564(98)10011-1

    authors: Radcliffe J,Rass L

    更新日期:1998-08-01 00:00:00

  • Phylogenetic diversity and biodiversity indices on phylogenetic networks.

    abstract::In biodiversity conservation it is often necessary to prioritize the species to conserve. Existing approaches to prioritization, e.g. the Fair Proportion Index and the Shapley Value, are based on phylogenetic trees and rank species according to their contribution to overall phylogenetic diversity. However, in many cas...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2018.02.005

    authors: Wicke K,Fischer M

    更新日期:2018-04-01 00:00:00

  • Controlling the number of HIV infectives in a mobile population.

    abstract::The spread of the human immunodeficiency virus (HIV) depends prominently on the migration of people between different regions. An important consequence of this population mobility is that HIV control strategies that are optimal in a regional sense may not be optimal in a national sense. We formulate various mathematic...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2008.03.003

    authors: Sani A,Kroese DP

    更新日期:2008-06-01 00:00:00

  • Spatiotemporal dynamics of insect pest population under viral infection.

    abstract::The interrelationship between pathogen infection and host mobility is of great importance for successful spread of disease in spatial pest population. As spread of infection depends on horizontal transmission of pathogen, there are numerous factors like susceptibility, latent period, host movement that influence overa...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2013.03.009

    authors: Ghosh S,Bhattacharyya S

    更新日期:2013-07-01 00:00:00

  • Optimal input design: case study of the metabolic process.

    abstract::An optimal input of nutrients into the metabolic process of the individual subject so as to effect desired therapeutic results is particularly important for the critically ill. A patient-related, individualized nutrients optimization procedure is proposed here. The procedure is applicable to any time-invariant and det...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/0025-5564(89)90004-7

    authors: Giladi R,Sideman S

    更新日期:1989-12-01 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

  • 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

  • A note on plating efficiency in fluctuation experiments.

    abstract::In estimating mutation rates using the Luria-Delbrück experimental protocol, it is often assumed that all mutant cells survive the plating procedure to form visible mutant colonies. This assumption of perfect plating efficiency may not hold in certain circumstances, but none of the existing estimation methods that adj...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2008.09.002

    authors: Zheng Q

    更新日期:2008-12-01 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

  • 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

  • Multi-timescale systems and fast-slow analysis.

    abstract::Mathematical models of biological systems often have components that vary on different timescales. This multi-timescale character can lead to problems when doing computer simulations, which can require a great deal of computer time so that the components that change on the fastest time scale can be resolved. Mathemati...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2016.07.003

    authors: Bertram R,Rubin JE

    更新日期:2017-05-01 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

  • Chemotherapy for tumors: an analysis of the dynamics and a study of quadratic and linear optimal controls.

    abstract::We investigate a mathematical model of tumor-immune interactions with chemotherapy, and strategies for optimally administering treatment. In this paper we analyze the dynamics of this model, characterize the optimal controls related to drug therapy, and discuss numerical results of the optimal strategies. The form of ...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2006.05.003

    authors: de Pillis LG,Gu W,Fister KR,Head T,Maples K,Murugan A,Neal T,Yoshida K

    更新日期:2007-09-01 00:00:00

  • Inferring ancestral sequences in taxon-rich phylogenies.

    abstract::Statistical consistency in phylogenetics has traditionally referred to the accuracy of estimating phylogenetic parameters for a fixed number of species as we increase the number of characters. However, it is also useful to consider a dual type of statistical consistency where we increase the number of species, rather ...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2010.07.002

    authors: Gascuel O,Steel M

    更新日期:2010-10-01 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

  • New statistical tools for analyzing the structure of animal groups.

    abstract::The statistical characterization of the spatial structure of large animal groups has been very limited so far, mainly due to a lack of empirical data, especially in three dimensions (3D). Here we focus on the case of large flocks of starlings (Sturnus vulgaris) in the field. We reconstruct the 3D positions of individu...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2008.05.006

    authors: Cavagna A,Cimarelli A,Giardina I,Orlandi A,Parisi G,Procaccini A,Santagati R,Stefanini F

    更新日期:2008-07-01 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

  • 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

  • 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

  • Optimal foraging by zooplankton within patches: the case of Daphnia.

    abstract::The motions of many physical particles as well as living creatures are mediated by random influences or 'noise'. One might expect that over evolutionary time scales internal random processes found in living systems display characteristics that maximize fitness. Here we focus on animal random search strategies [G.M. Vi...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2006.11.014

    authors: Garcia R,Moss F,Nihongi A,Strickler JR,Göller S,Erdmann U,Schimansky-Geier L,Sokolov IM

    更新日期:2007-06-01 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

  • Qualitative analysis of models with different treatment protocols to prevent antibiotic resistance.

    abstract::This paper is concerned with the qualitative analysis of two models [S. Bonhoeffer, M. Lipsitch, B.R. Levin, Evaluating treatment protocols to prevent antibiotic resistance, Proc. Natl. Acad. Sci. USA 94 (1997) 12106] for different treatment protocols to prevent antibiotic resistance. Detailed qualitative analysis abo...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2010.06.002

    authors: Sun HR,Lu X,Ruan S

    更新日期:2010-09-01 00:00:00

  • Genetic oscillation deduced from Hopf bifurcation in a genetic regulatory network with delays.

    abstract::To understand how a gene regulatory network functioning as an oscillator is built, a genetic regulatory network with two transcriptional delays is investigated. We show by mathematical analysis and simulation that autorepression of mRNA and protein can provide a mechanism for the intracellular oscillator. Based on the...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2008.05.004

    authors: Xiao M,Cao J

    更新日期:2008-09-01 00:00:00