Abstract:
:There is still controversy as to which characteristics of the pressure-volume relation should be used to define myocardial contractility. In the present study a mathematical model for the left ventricle as a two-dimensional cylinder contracting radially and symmetrically was used to establish a relation between a calculated intramyocardial pressure (Dh) and the P-V relation (PVR) at end-systole. Four new indices are introduced that allow a better assessment of change in inotropic state of the myocardium, namely the calculated intramyocardial pressure (Dh), the calculated resultant pressure across the inner surface of the myocardium (Dh-P) (P = cavity pressure), the work Wt related to the pressure (Dh) and the work Wd related to the pressure (Dh-P). A relation between Wt and Wd and different parts of the area under the PVR is established. Indices derived in this manner from the PVR to study changes in myocardial contractility appear to have a clear physical meaning.
journal_name
Bull Math Bioljournal_title
Bulletin of mathematical biologyauthors
Shoucri RM,Rouleau JR,Kingma JG Jr,Dumesnil JG,Dagenais GRdoi
10.1007/BF02460085subject
Has Abstractpub_date
1989-01-01 00:00:00pages
475-84issue
4eissn
0092-8240issn
1522-9602journal_volume
51pub_type
杂志文章abstract::We address the problem of using nonlinear models to design experiments to characterize the dynamics of cellular processes by using the approach of the Maximally Informative Next Experiment (MINE), which was introduced in W. Dong et al. (PLoS ONE 3(8):e3105, 2008) and independently in M.M. Donahue et al. (IET Syst. Bio...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-014-9935-9
更新日期:2014-03-01 00:00:00
abstract::The mammalian kidney consumes a large amount of energy to support the reabsorptive work it needs to excrete metabolic wastes and to maintain homeostasis. Part of that energy is supplied via the metabolism of glucose. To gain insights into the transport and metabolic processes in the kidney, we have developed a detaile...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-016-0188-7
更新日期:2016-06-01 00:00:00
abstract::The simulation of biological systems is often plagued by a high level of noise in the data, as well as by models containing a large number of correlated parameters. As a result, the parameters are poorly identified by the data, and the reliability of the model predictions may be questionable. Bayesian sampling methods...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-009-9417-7
更新日期:2009-10-01 00:00:00
abstract::We study Eigen's quasispecies model in the asymptotic regime where the length of the genotypes goes to [Formula: see text] and the mutation probability goes to 0. A limiting infinite system of differential equations is obtained. We prove convergence of trajectories, as well as convergence of the equilibrium solutions....
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-018-0420-8
更新日期:2018-07-01 00:00:00
abstract::The well-known formula for the final size of an epidemic was published by Kermack and McKendrick in 1927. Their analysis was based on a simple susceptible-infected-recovered (SIR) model that assumes exponentially distributed infectious periods. More recent analyses have established that the standard final size formula...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-005-9047-7
更新日期:2006-04-01 00:00:00
abstract::Mathematical modeling is a powerful tool for unraveling the complexities of the molecular regulatory networks underlying all aspects of cell physiology. To support this claim, we review our experiences modeling the cyclin-dependent kinase (CDK) network that controls events of the eukaryotic cell cycle. The model was d...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-014-0009-9
更新日期:2015-05-01 00:00:00
abstract::We present an improved mathematical model of population dynamics of mosquito-borne disease transmission. Our model considers the effect of mosquito repellent use and the mosquito's behavior or attraction to the infected human, which cause mosquitoes' biased distribution around the human population. Our analysis of the...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-019-00666-1
更新日期:2019-12-01 00:00:00
abstract::The Shapley value, a solution concept from cooperative game theory, has recently been considered for both unrooted and rooted phylogenetic trees. Here, we focus on the Shapley value of unrooted trees and first revisit the so-called split counts of a phylogenetic tree and the Shapley transformation matrix that allows f...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-018-0392-8
更新日期:2019-02-01 00:00:00
abstract::In special coordinates (codon position-specific nucleotide frequencies), bacterial genomes form two straight lines in 9-dimensional space: one line for eubacterial genomes, another for archaeal genomes. All the 348 distinct bacterial genomes available in Genbank in April 2007, belong to these lines with high accuracy....
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-007-9229-6
更新日期:2007-10-01 00:00:00
abstract::The apoptotic caspase-3/8 feedback loop describes the core of the extrinsic pro-apoptotic signaling pathway, an essential part of apoptosis. Latter is a prototype of the programmed cell death, which enables organisms to remove damaged or infected cells. The reaction network of the caspase-3/8 feedback loop in a single...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-013-9892-8
更新日期:2013-11-01 00:00:00
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
更新日期:2004-09-01 00:00:00
abstract::Population management using artificial gene drives (alleles biasing inheritance, increasing their own transmission to offspring) is becoming a realistic possibility with the development of CRISPR-Cas genetic engineering. A gene drive may, however, have to be stopped. "Antidotes" (brakes) have been suggested, but have ...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-019-00668-z
更新日期:2019-12-01 00:00:00
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
更新日期:2008-11-01 00:00:00
abstract::Hair loss in the autoimmune disease, alopecia areata (AA), is characterized by the appearance of circularly spreading alopecic lesions in seemingly healthy skin. The distinct spatial patterns of AA lesions form because the immune system attacks hair follicle cells that are in the process of producing hair shaft, catap...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-020-00707-0
更新日期:2020-02-24 00:00:00
abstract::We describe a new model for laser-induced retinal damage. Our treatment is prompted by the failure of the traditional approach to accurately describe the image size dependence of laser-induced retinal injuries and by a recently reported study which demonstrated that laser injuries to the retina might not appear for up...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1016/S0092-8240(03)00028-4
更新日期:2003-07-01 00:00:00
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
更新日期:2011-03-01 00:00:00
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
更新日期:2012-10-01 00:00:00
abstract::The lactose operon in Escherichia coli was the first known gene regulatory network, and it is frequently used as a prototype for new modeling paradigms. Historically, many of these modeling frameworks use differential equations. More recently, Stigler and Veliz-Cuba proposed a Boolean model that captures the bistabili...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-017-0306-1
更新日期:2017-08-01 00:00:00
abstract::We study a recently discovered class of models for plateau bursting, inspired by models for endocrine pituitary cells. In contrast to classical models for fold-homoclinic (square-wave) bursting, the spikes of the active phase are not supported by limit cycles of the frozen fast subsystem, but are transient oscillation...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-007-9241-x
更新日期:2008-01-01 00:00:00
abstract::We investigate how the structure of interactions between coupled oscillators influences the formation of asynchronous patterns in a multilayer network by formulating a simple, general multilayer oscillator model. We demonstrate the analysis of this model in three-oscillator systems, illustrating the role of interactio...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-019-00682-1
更新日期:2019-12-20 00:00:00
abstract::A model employing separate dose-dependent response functions for proliferation and differentiation of idiotypically interacting B cell clones is presented. For each clone the population dynamics of proliferating B cells, non-proliferating B cells and free antibodies are considered. An effective response function, whic...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/BF02460702
更新日期:1993-11-01 00:00:00
abstract::The propagation of fire-diffuse-fire Ca(2+) waves through a three-dimensional rectangular domain is considered. The domain is infinite in extent in the direction of propagation but with lateral barriers to diffusion which contain Ca(2+) pumps. The Ca(2+) concentration profile due to the firing of a release site (spark...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1016/S0092-8240(03)00074-0
更新日期:2004-01-01 00:00:00
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
更新日期:1998-09-01 00:00:00
abstract::DNA and protein sequence comparisons are performed by a number of computational algorithms. Most of these algorithms search for the alignment of two sequences that optimizes some alignment score. It is an important problem to assess the statistical significance of a given score. In this paper we use newly developed me...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/BF02459930
更新日期:1992-09-01 00:00:00
abstract::This paper develops mathematical theory to determine the representativeness of clone libraries for various models, defined below in the text. In particular, the means and variances of fragment lengths and the mean of the length of a randomly selected fragment are determined, as well as the probability of the event tha...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1006/bulm.2001.0251
更新日期:2001-09-01 00:00:00
abstract::Mathematical models have been used to simulate HIV transmission and to study the use of preexposure prophylaxis (PrEP) for HIV prevention. Often a single intervention outcome over 10 years has been used to evaluate the effectiveness of PrEP interventions. However, different metrics express a wide variation over time a...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-013-9824-7
更新日期:2013-04-01 00:00:00
abstract::Several studies suggest that one possible cause of impaired wound healing is failed or insufficient lymphangiogenesis, that is the formation of new lymphatic capillaries. Although many mathematical models have been developed to describe the formation of blood capillaries (angiogenesis), very few have been proposed for...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-016-0205-x
更新日期:2016-09-01 00:00:00
abstract::Burst-like synthesis of protein is a significant source of cell-to-cell variability in protein levels. Negative feedback is a common example of a regulatory mechanism by which such stochasticity can be controlled. Here we consider a specific kind of negative feedback, which makes bursts smaller in the excess of protei...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-018-0438-y
更新日期:2018-07-01 00:00:00
abstract::In developmental biology as well as in other biological systems, emerging structure and organization can be captured using time-series data of protein locations. In analyzing this time-dependent data, it is a common challenge not only to determine whether topological features emerge, but also to identify the timing of...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-020-00847-3
更新日期:2021-01-16 00:00:00
abstract::Integrins mediate cell adhesion and are essential receptors for the development and functioning of multicellular organisms. Integrin activation is known to require both ligand and talin binding and to correlate with cluster formation but the activation mechanism and precise roles of these processes are not yet resolve...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-005-9049-5
更新日期:2006-05-01 00:00:00