The influence of soluble fragments of extracellular matrix (ECM) on tumor growth and morphology.

Abstract:

:A major challenge in matrix-metalloproteinase (MMP) target validation and MMP-inhibitor-drug development for anti-cancer clinical trials is to better understand their complex roles (often competing with each other) in tumor progression. While there is extensive research on the growth-promoting effects of MMPs, the growth-inhibiting effects of MMPs has not been investigated thoroughly. So we develop a continuum model of tumor growth and invasion including chemotaxis and haptotaxis in order to examine the complex interaction between the tumor and its host microenvironment and to explore the inhibiting influence of the gradients of soluble fragments of extracellular matrix (ECM) density on tumor growth and morphology. Previously, it was shown both computationally (in one spatial dimension) and experimentally that the chemotactic pull due to soluble ECM gradients is anti-invasive, contrary to the traditional view of the role of chemotaxis in malignant invasion [1]. With two-dimensional numerical simulation and using a level set based tumor-host interface capturing method, we examine the effects of chemotaxis on the progression and morphology of a tumor growing in nutrient-rich and nutrient-poor microenvironments which was not investigated before. In particular we examine how the geometry of the growing tumor is affected when placed in different environments. We also investigate the effects of varying ECM degradation rate, the production rate of matrix degrading enzymes (MDE), and the conversion of ECM into soluble ECM. We find that chemotaxis due to ECM-fragment gradients strongly influences tumor growth and morphology, and that the instabilities caused by tumor cell proliferation and haptotactic movements can be prevented if chemotaxis is sufficiently strong. The influence of chemotaxis and the above factors on tumor growth and morphology are found to be more prominent in nutrient-poor environments than in nutrient-rich environments. So we extend our investigations of these antinvasive chemotactic influences by examining the effects of cell-cell and cell-ECM adhesion and low proliferation rate for tumors growing in low-nutrient environments. We find that as the extent of chemotaxis increases, the effects of adhesion on tumor growth and shape become negligible. Under conditions of low cell mitosis, chemotaxis may cause the tumor to shrink, as the extent of chemotaxis increases. Both stable and unstable tumor shrinkage are predicted by our model. Unexpectedly, in some cases chemotaxis may contribute toward developing instability where haptotaxis alone induces stable growth.

journal_name

Math Biosci

journal_title

Mathematical biosciences

authors

Nargis NN,Aldredge RC,Guy RD

doi

10.1016/j.mbs.2017.11.014

subject

Has Abstract

pub_date

2018-02-01 00:00:00

pages

1-16

eissn

0025-5564

issn

1879-3134

pii

S0025-5564(16)30296-6

journal_volume

296

pub_type

杂志文章
  • 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

  • pH-induced gene regulation of solvent production by Clostridium acetobutylicum in continuous culture: parameter estimation and sporulation modelling.

    abstract::The acetone-butanol (AB) fermentation process in the anaerobic endospore-forming Gram-positive bacterium Clostridium acetobutylicum is useful as a producer of biofuels, particularly butanol. Recent work has concentrated on trying to improve the efficiency of the fermentation method, either through changes in the envir...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2012.11.004

    authors: Thorn GJ,King JR,Jabbari S

    更新日期:2013-02-01 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

  • CXCR4 and CCR5 regulation and expression patterns on T- and monocyte-macrophage cell lineages: implications for susceptibility to infection by HIV-1.

    abstract::Chemokine receptor expression may vary dramatically among cell subsets. Therefore, the stage of differentiation and the lineage of CD4 cells may profoundly affect their susceptibility to infection by human immunodeficiency virus type 1 (HIV-1). However, the mechanisms of coreceptor competition for association with HIV...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2005.01.002

    authors: Joly M,Pinto JM

    更新日期:2005-05-01 00:00:00

  • Exploration of sexual dimorphism and inter-individual variability in multivariate parameter spaces for a pharmacokinetic compartment model.

    abstract::Pharmacokinetic models are particularly useful to study the underlying and complex physiological mechanisms contributing to clinical differences across patient subgroups or special populations. Unfortunately, the inherent variability of biological systems and knowledge gaps in physiological data limit confidence in mo...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2018.12.011

    authors: Scherholz ML,Androulakis IP

    更新日期:2019-02-01 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

  • Is the addition of higher-order interactions in ecological models increasing the understanding of ecological dynamics?

    abstract::Recent work has shown that higher-order terms in population dynamics models can increase the stability, promote the diversity, and better explain the dynamics of ecological systems. While it is known that these perceived benefits come from an increasing number of alternative solutions given by the nature of multivaria...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2019.108222

    authors: AlAdwani M,Saavedra S

    更新日期:2019-09-01 00:00:00

  • Numerical solution of non-linear dual-phase-lag bioheat transfer equation within skin tissues.

    abstract::This paper deals with numerical modeling and simulation of heat transfer in skin tissues using non-linear dual-phase-lag (DPL) bioheat transfer model under periodic heat flux boundary condition. The blood perfusion is assumed temperature-dependent which results in non-linear DPL bioheat transfer model in order to pred...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2017.08.009

    authors: Kumar D,Kumar P,Rai KN

    更新日期:2017-11-01 00:00:00

  • Global dynamics of an SEIR epidemic model with saturating contact rate.

    abstract::Heesterbeek and Metz [J. Math. Biol. 31 (1993) 529] derived an expression for the saturating contact rate of individual contacts in an epidemiological model. In this paper, the SEIR model with this saturating contact rate is studied. The basic reproduction number R0 is proved to be a sharp threshold which completely d...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/s0025-5564(03)00087-7

    authors: Zhang J,Ma Z

    更新日期:2003-09-01 00:00:00

  • A new five-parameter Birnbaum-Saunders distribution for modeling bicoid gene expression data.

    abstract::An extended version of Birnbaum-Saunders distribution with five parameters is introduced. Theoretical aspects of five-parameter Birnbaum-Saunders distribution and the maximum likelihood estimation of parameters are presented. The reliability and applicability of the proposed distribution is evaluated using both simula...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2019.108275

    authors: Hassani H,Kalantari M,Entezarian MR

    更新日期:2020-01-01 00:00:00

  • Controlling emerging infectious diseases like SARS.

    abstract::To control emerging infectious diseases like SARS, it is necessary to resort to basic control measures that limit exposures to infectious individuals. These measures include isolating cases at diagnosis, quarantining household members and tracing contacts of diagnosed cases, providing the community with advice on how ...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2004.07.006

    authors: Becker NG,Glass K,Li Z,Aldis GK

    更新日期:2005-02-01 00:00:00

  • Learning of oscillatory correlated patterns in a cortical network by a STDP-based learning rule.

    abstract::In this paper, we propose an iterative learning rule that allows the imprinting of correlated oscillatory patterns in a model of the hippocampus able to work as an associative memory for oscillatory spatio-temporal patterns. We analyze the dynamics in the Fourier domain, showing how the network selectively amplify or ...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2006.10.001

    authors: Marinaro M,Scarpetta S,Yoshioka M

    更新日期:2007-06-01 00:00:00

  • A comparison of foraging strategies in a patchy environment.

    abstract::In this paper we compare foraging strategies that might be used by predators seeking prey in a patchy environment. The strategies differ in the extent to which predators aggregate in response to prey density. The approach to the comparison is suggested by the idea of evolutionarily stable strategies. A strategy is sai...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/s0025-5564(99)00027-9

    authors: Cantrell RS,Cosner C

    更新日期:1999-08-01 00:00:00

  • Modeling dynamic contraction of muscle using the cross-bridge theory.

    abstract::During normal, voluntary movements, skeletal muscles typically contract in a highly dynamic manner; the length of the muscle and the speed of contraction change continuously. In this study, we present an approach to predict the accurate behavior of muscles for such dynamic contractions using Huxley's cross-bridge mode...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/s0025-5564(96)00115-0

    authors: Wu JZ,Herzog W,Cole GK

    更新日期:1997-01-01 00:00:00

  • A nonlinear numerical model of percutaneous drug absorption.

    abstract::A nonlinear mathematical model developed by Chandrasekaran et al. is examined to monitor pharmacokinetic profiles in percutaneous drug absorption and is addressed to several associated problems that could occur in the data analysis of in vitro experiments. The formulation of the model gives rise to a nonlinear partial...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/0025-5564(92)90054-z

    authors: Kubota K,Twizell EH

    更新日期:1992-03-01 00:00:00

  • Which facilitates the evolution of cooperation more, retaliation or persistence?

    abstract::The existence of cooperation in this world is a mysterious phenomenon. One of the mechanisms that explain the evolution of cooperation is repeated interaction. If interactions between the same individuals repeat and individuals cooperate conditionally, cooperation can evolve. A previous study pointed out that if indiv...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2017.04.002

    authors: Kurokawa S

    更新日期:2017-07-01 00:00:00

  • Robust control of uncertain nonlinear switched genetic regulatory networks with time delays: A redesign approach.

    abstract::In this paper, the problem of robust stability of nonlinear genetic regulatory networks (GRNs) is investigated. The developed method is an integral sliding mode control based redesign for a class of perturbed dissipative switched GRNs with time delays. The control law is redesigned by modifying the dissipativity-based...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2016.02.006

    authors: Moradi H,Majd VJ

    更新日期:2016-05-01 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

  • 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

  • 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

  • Mathematical modeling of cancer radiovirotherapy.

    abstract::Cancer virotherapy represents a dynamical system that requires mathematical modeling for complete understanding of the outcomes. The combination of virotherapy with radiation (radiovirotherapy) has been recently shown to successfully eliminate tumors when virotherapy alone failed. However, it introduces a new level of...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2005.11.001

    authors: Dingli D,Cascino MD,Josić K,Russell SJ,Bajzer Z

    更新日期:2006-01-01 00:00:00

  • The effects of diseases on competing species.

    abstract::In this paper we study the dynamics of two competing species when one of them is subject to a disease. In order to keep the model simple, we present it under the strong assumption that the disease cannot cross the species barrier. We answer several important questions about the long term behavior of the environment. I...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/s0025-5564(01)00081-5

    authors: Venturino E

    更新日期:2001-12-01 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

  • Optimization methods for decision making in disease prevention and epidemic control.

    abstract::This paper investigates problems of disease prevention and epidemic control (DPEC), in which we optimize two sets of decisions: (i) vaccinating individuals and (ii) closing locations, given respective budgets with the goal of minimizing the expected number of infected individuals after intervention. The spread of dise...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2013.09.007

    authors: Deng Y,Shen S,Vorobeychik Y

    更新日期:2013-11-01 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

  • Scaffold-mediated nucleation of protein signaling complexes: elementary principles.

    abstract::Proteins with multiple binding sites play important roles in cell signaling systems by nucleating protein complexes in which, for example, enzymes and substrates are co-localized. Proteins that specialize in this function are called by a variety names, including adapter, linker and scaffold. Scaffold-mediated nucleati...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2011.06.003

    authors: Yang J,Hlavacek WS

    更新日期:2011-08-01 00:00:00

  • 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 pat...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2004.06.004

    authors: Stengel RF,Ghigliazza R

    更新日期:2004-10-01 00:00:00

  • Kinetics of the formation of a protein corona around nanoparticles.

    abstract::Interaction of metal or oxide nanoparticles (NPs) with biological soft matter is one of the central phenomena in basic and applied biology-oriented nanoscience. Often, this interaction includes adsorption of suspended proteins on the NP surface, resulting in the formation of the protein corona around NPs. Structurally...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2016.09.018

    authors: Zhdanov VP,Cho NJ

    更新日期:2016-12-01 00:00:00

  • Global dynamics of a discrete age-structured SIR epidemic model with applications to measles vaccination strategies.

    abstract::We investigate an SIR epidemic model with discrete age groups to understand the transmission dynamics of an infectious disease in a host population with an age structure. We derive the basic reproduction number R0 and show that it is a sharp threshold parameter. If R0≤1, the disease-free equilibrium E0 is globally sta...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2018.12.003

    authors: Zhou L,Wang Y,Xiao Y,Li MY

    更新日期:2019-02-01 00:00:00

  • On global and local critical points of extended contact process on homogeneous trees.

    abstract::We study spatial stochastic epidemic models called households models. The households models have more than two states at each vertex of a graph in contrast to the contact process. We show that, in the households models on trees, two thresholds of infection rates characterize epidemics. The global critical infection ra...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章

    doi:10.1016/j.mbs.2008.02.004

    authors: Sugimine N,Masuda N,Konno N,Aihara K

    更新日期:2008-05-01 00:00:00