Computational experiments support a competitive function in the CA3 region of the hippocampus.

Abstract:

:The comprehension of activities and functions of complex brain structures requires, among other things, information on simultaneous activities in several regions. Results reported in the literature using multi(micro/macro)electrode recordings or imaging techniques provide incomplete information due either to the small size and/or small number of investigated regions or to the poor spatiotemporal resolution, respectively. This is particularly true for the hippocampus and its subfields, and mathematical modeling and computer simulation have been used with the aim of obtaining information when this is lacking. Global activities in the CA3 field of the hippocampus, and in particular the genesis of theta rhythm and sharp waves, have been investigated here by a mathematical model formulated within the frame of a kinetic theory of neural systems. The model has taken into account data of experimental results both on different PSPs recorded in hippocampal neurons and on recurrent pyramidal collateral geometries. The computational 'experiments' to which the model was subjected suggest that the sharp waves arise through a selective and short block of the fast inhibitory neurons of CA3, produced by a medial septum inhibitory input, whereas the theta activity is produced by a durable, continuous inhibition of the slow inhibitory neurons. Information obtained also suggests that the recurrent pyramidal collaterals subserve a competitive, rather than a cooperative, organization. Based on these results a hypothesis on the possible functional organization of the CA3 field and of the entire hippocampus has been formulated. According to this hypothesis, the CA3 imposes a serial order on the flow of activity arriving at the hippocampus from the entorhinal cortex and from its connected polymodal cortical regions. This ordering permits cortical activities, arriving at CA3 on appropriate time intervals, to produce effects in regions of brain to which the CA3 projects. The competing cortical activities are lost.

journal_name

Bull Math Biol

authors

Ventriglia F

doi

10.1006/bulm.1997.0032

subject

Has Abstract

pub_date

1998-03-01 00:00:00

pages

373-407

issue

2

eissn

0092-8240

issn

1522-9602

pii

S0092-8240(97)90032-X

journal_volume

60

pub_type

杂志文章
  • Micropharmacology: An In Silico Approach for Assessing Drug Efficacy Within a Tumor Tissue.

    abstract::Systemic chemotherapy is one of the main anticancer treatments used for most kinds of clinically diagnosed tumors. However, the efficacy of these drugs can be hampered by the physical attributes of the tumor tissue, such as tortuous vasculature, dense and fibrous extracellular matrix, irregular cellular architecture, ...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-018-0402-x

    authors: Karolak A,Rejniak KA

    更新日期:2019-09-01 00:00:00

  • Resource consumption, sustainability, and cancer.

    abstract::Preserving a system's viability in the presence of diversity erosion is critical if the goal is to sustainably support biodiversity. Reduction in population heterogeneity, whether inter- or intraspecies, may increase population fragility, either decreasing its ability to adapt effectively to environmental changes or f...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章,评审

    doi:10.1007/s11538-014-9983-1

    authors: Kareva I,Morin B,Castillo-Chavez C

    更新日期:2015-02-01 00:00:00

  • Invasibility of nectarless flowers in plant-pollinator systems.

    abstract::This paper considers plant-pollinator systems in which plants are divided into two categories: The plants that secret a substantial volume of nectar in their flowers are called secretors, while those without secreting nectar are called nonsecretors (cheaters). The interaction between pollinators and secretors is mutua...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-013-9846-1

    authors: Wang Y,Wu H

    更新日期:2013-07-01 00:00:00

  • Inferring the dynamics of a spatial epidemic from time-series data.

    abstract::Spatial interactions are key determinants in the dynamics of many epidemiological and ecological systems; therefore it is important to use spatio-temporal models to estimate essential parameters. However, spatially-explicit data sets are rarely available; moreover, fitting spatially-explicit models to such data can be...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1016/j.bulm.2003.09.002

    authors: Filipe JA,Otten W,Gibson GJ,Gilligan CA

    更新日期:2004-03-01 00:00:00

  • Intermittent Preventive Treatment (IPT): Its Role in Averting Disease-Induced Mortality in Children and in Promoting the Spread of Antimalarial Drug Resistance.

    abstract::We develop an age-structured ODE model to investigate the role of intermittent preventive treatment (IPT) in averting malaria-induced mortality in children, and its related cost in promoting the spread of antimalarial drug resistance. IPT, a malaria control strategy in which a full curative dose of an antimalarial med...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-018-0524-1

    authors: Manore CA,Teboh-Ewungkem MI,Prosper O,Peace A,Gurski K,Feng Z

    更新日期:2019-01-01 00:00:00

  • Oscillations and waves of cyclic AMP in Dictyostelium: a prototype for spatio-temporal organization and pulsatile intercellular communication.

    abstract::The amoebae Dictyostelium discoideum aggregate after starvation in a wavelike manner in response to periodic pulses of cyclic AMP (cAMP) secreted by cells which behave as aggregation centers. In addition to autonomous oscillations, the cAMP signaling system that controls aggregation is also capable of excitable behavi...

    journal_title:Bulletin of mathematical biology

    pub_type: 历史文章,杂志文章

    doi:10.1007/s11538-006-9090-z

    authors: Goldbeter A

    更新日期:2006-07-01 00:00:00

  • A community model of ciliate Tetrahymena and bacteria E coli: Part II. interactions in a batch system.

    abstract::Premised on relatively simple assumptions, mathematical models like those of Monod, Pirt or Droop inadequately explain the complex transient behavior of microbial populations. In particular, these models fail to explain many aspects of the dynamics of a Tetrahymena pyriformis-Escherichia coli community. In this study ...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/BF02458309

    authors: Jaworska JS,Hallam TG,Schultz TW

    更新日期:1996-03-01 00:00:00

  • Membrane-associated non-receptors and morphogen gradients.

    abstract::A previously investigated basic model (System B) for the study of signaling morphogen gradient formation that allows for reversible binding of morphogens (aka ligands) with signaling receptors, degradation of bound morphogens and diffusion of unbound morphogens is extended to include the effects of membrane-bound non-...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-006-9152-2

    authors: Lander AD,Nie Q,Wan FY

    更新日期:2007-01-01 00:00:00

  • Coreceptor switching in HIV-1 subtype B and subtype C.

    abstract::We use a mathematical model to determine the factors affecting the delayed or rare coreceptor switch in HIV-1 subtype C infected individuals. The model takes into account the two main target cells for the CXCR4-tropic and CCR5-tropic virus and includes the the lytic and non-lytic immune responses. Computer-based simul...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-006-9137-1

    authors: Mugwagwa T,Witten G

    更新日期:2007-01-01 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

  • A mathematical model for the dynamics of large membrane deformations of isolated fibroblasts.

    abstract::In this paper we develop and extend a previous model of cell deformations, initially proposed to describe the dynamical behaviour of round-shaped cells such as keratinocytes or leukocytes, in order to take into account cell pseudopodial dynamics with large amplitude membrane deformations such as those observed in fibr...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1016/j.bulm.2003.11.004

    authors: Stéphanou A,Chaplain MA,Tracqui P

    更新日期:2004-09-01 00:00:00

  • Fixation of strategies for an evolutionary game in finite populations.

    abstract::A stochastic evolutionary dynamics of two strategies given by 2x 2 matrix games is studied in finite populations. We focus on stochastic properties of fixation: how a strategy represented by a single individual wins over the entire population. The process is discussed in the framework of a random walk with site depend...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-006-9061-4

    authors: Antal T,Scheuring I

    更新日期:2006-11-01 00:00:00

  • Interspecific influence on mobility and Turing instability.

    abstract::In this paper we formulate a multi-patch multi-species model in which the per-capita emigration rate of one species depends on the density of some other species. We then focus on Turing instability to examine if and when this cross-emigration response has crucial effects. We find that the type of interaction matters g...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1006/bulm.2002.0328

    authors: Huang Y,Diekmann O

    更新日期:2003-01-01 00:00:00

  • Wavelet-based analysis of human blood-flow dynamics.

    abstract::To analyze signals measured from human blood flow in the time-frequency domain, we used the wavelet transform which gives good time resolution for high-frequency components and good frequency resolution for low-frequency components. Five characteristic frequency peaks, corresponding to five almost periodic rhythmic ac...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1006/bulm.1998.0047

    authors: Bracic M,Stefanovska A

    更新日期:1998-09-01 00:00:00

  • Position and Content Paradigms in Genome Rearrangements: The Wild and Crazy World of Permutations in Genomics.

    abstract::Modellers of large-scale genome rearrangement events, in which segments of DNA are inverted, moved, swapped, or even inserted or deleted, have found a natural syntax in the language of permutations. Despite this, there has been a wide range of modelling choices, assumptions and interpretations that make navigating the...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-018-0514-3

    authors: Bhatia S,Feijão P,Francis AR

    更新日期:2018-12-01 00:00:00

  • Predicting Patient-Specific Radiotherapy Protocols Based on Mathematical Model Choice for Proliferation Saturation Index.

    abstract::Radiation is commonly used in cancer treatment. Over 50% of all cancer patients will undergo radiotherapy (RT) as part of cancer care. Scientific advances in RT have primarily focused on the physical characteristics of treatment including beam quality and delivery. Only recently have inroads been made into utilizing t...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-017-0279-0

    authors: Poleszczuk J,Walker R,Moros EG,Latifi K,Caudell JJ,Enderling H

    更新日期:2018-05-01 00:00:00

  • Dynamical behaviour of biological regulatory networks--I. Biological role of feedback loops and practical use of the concept of the loop-characteristic state.

    abstract::In the field of biological regulation, models dictated by experimental work are usually complex networks comprising intertwined feedback loops. In this paper the biological roles of individual positive loops (multistationarity, differentiation) and negative loops (homeostasis, with or without oscillations, buffering o...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/BF02460618

    authors: Thomas R,Thieffry D,Kaufman M

    更新日期:1995-03-01 00:00:00

  • The exact joint distribution of the sum of heads and apparent size statistics of a "tandem repeats finder" algorithm.

    abstract::Tandem repeats play many important roles in biological research. However, accurate characterization of their properties is limited by the inability to easily detect them. For this reason, much work has been devoted to developing detection algorithms. A widely used algorithm for detecting tandem repeats is the "tandem ...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-006-9146-0

    authors: Martin DE

    更新日期:2006-11-01 00:00:00

  • Mathematical determination of cell population doubling times for multiple cell lines.

    abstract::Cell cycle times are vital parameters in cancer research, and short cell cycle times are often related to poor survival of cancer patients. A method for experimental estimation of cell cycle times, or doubling times of cultured cancer cell populations, based on addition of paclitaxel (an inhibitor of cell division) ha...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-012-9764-7

    authors: Daukste L,Basse B,Baguley BC,Wall DJ

    更新日期:2012-10-01 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

  • Emergence of rules in cell society: differentiation, hierarchy, and stability.

    abstract::A dynamic model for cell differentiation, where cells with internal chemical reaction dynamics interact with each other and replicate was studied. It led to spontaneous differentiation of cells and determination, as discussed in the isologous diversification. The following features of the differentiation were obtained...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1006/bulm.1997.0034

    authors: Furusawa C,Kaneko K

    更新日期:1998-07-01 00:00:00

  • On the Mathematical Modelling of Competitive Invasive Weed Dynamics.

    abstract::We explore the dynamics of invasive weeds by partial differential equation (PDE) modelling and applying dynamical system and phase portrait techniques. We begin by applying the method of characteristics to a preexisting PDE model of the spreading of T. fluminensis, an invasive weed which has been responsible for nativ...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-020-00825-9

    authors: Ramaj T

    更新日期:2021-01-07 00:00:00

  • Mathematical modeling of marker influx and efflux in cells.

    abstract::The tumor promoter, phorbol 12-myristate 13-acetate (PMA), affects the processing of fluid that enters a cell from the ambient medium. Previous work showed that marker accumulates to a higher level in PMA-treated than in untreated cells. Since PMA also affects the physical activity of the membrane and stimulates the n...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1006/bulm.2001.0216

    authors: Heckman CA,Runyeon CS,Wade JG,Seubert S

    更新日期:2001-05-01 00:00:00

  • Analysis of a vector-bias model on malaria transmission.

    abstract::We incorporate a vector-bias term into a malaria-transmission model to account for the greater attractiveness of infectious humans to mosquitoes in terms of differing probabilities that a mosquito arriving at a human at random picks that human depending on whether he is infectious or susceptible. We prove that transcr...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-010-9545-0

    authors: Chamchod F,Britton NF

    更新日期:2011-03-01 00:00:00

  • A Mixed-Culture Biofilm Model with Cross-Diffusion.

    abstract::We propose a deterministic continuum model for mixed-culture biofilms. A crucial aspect is that movement of one species is affected by the presence of the other. This leads to a degenerate cross-diffusion system that generalizes an earlier single-species biofilm model. Two derivations of this new model are given. One,...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-015-0117-1

    authors: Rahman KA,Sudarsan R,Eberl HJ

    更新日期:2015-11-01 00:00:00

  • The influence of fluid flow on modeling quorum sensing in bacterial biofilms.

    abstract::In this paper, we study quorum sensing in Pseudomonas aeruginosa biofilms. Quorum sensing is a process where bacteria monitor their population density through the release of extra-cellular signalling molecules. The presence of these molecules affects gene modulation leading to changes in behaviour such as the release ...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-009-9485-8

    authors: Vaughan BL Jr,Smith BG,Chopp DL

    更新日期:2010-07-01 00:00:00

  • Modeling optimal intervention strategies for cholera.

    abstract::While cholera has been a recognized disease for two centuries, there is no strategy for its effective control. We formulate a mathematical model to include essential components such as a hyperinfectious, short-lived bacterial state, a separate class for mild human infections, and waning disease immunity. A new result ...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-010-9521-8

    authors: Miller Neilan RL,Schaefer E,Gaff H,Fister KR,Lenhart S

    更新日期:2010-11-01 00:00:00

  • Disease Extinction Versus Persistence in Discrete-Time Epidemic Models.

    abstract::We focus on discrete-time infectious disease models in populations that are governed by constant, geometric, Beverton-Holt or Ricker demographic equations, and give a method for computing the basic reproduction number, [Formula: see text]. When [Formula: see text] and the demographic population dynamics are asymptotic...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-018-0426-2

    authors: van den Driessche P,Yakubu AA

    更新日期:2019-11-01 00:00:00

  • Comparison of Monte Carlo simulations of cytochrome b6f with experiment using Latin hypercube sampling.

    abstract::We have programmed a Monte Carlo simulation of the Q-cycle model of electron transport in cytochrome b(6)f complex, an enzyme in the photosynthetic pathway that converts sunlight into biologically useful forms of chemical energy. Results were compared with published experiments of Kramer and Crofts (Biochim. Biophys. ...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-010-9616-2

    authors: Schumaker MF,Kramer DM

    更新日期:2011-09-01 00:00:00

  • A mass action model of a Fibroblast Growth Factor signaling pathway and its simplification.

    abstract::We consider a kinetic law of mass action model for Fibroblast Growth Factor (FGF) signaling, focusing on the induction of the RAS-MAP kinase pathway via GRB2 binding. Our biologically simple model suffers a combinatorial explosion in the number of differential equations required to simulate the system. In addition to ...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-008-9342-1

    authors: Gaffney EA,Heath JK,Kwiatkowska MZ

    更新日期:2008-11-01 00:00:00