Abstract：
:A kinetic model is proposed to delineate the factors that determine the coronary reactive hyperemic response (RHR) to transient ischemia. The model comprises of myocardial-interstitial (M) and vascular (V) compartments. Vasodilator metabolites (VM) are produced in the M compartment during the interval of coronary occlusion. The rate of VM production is dependent on the flow rate during the ischemic period, the ratio of excess flow above the control level (R) to the loss of flow during occlusion period (D), the amount of oxygen stored and the degree of vasodilation in the V compartment prior to occlusion. Following a complete release of occlusion, VM are transported from the M to V compartment and are washed out or degraded with time. The time course of RHR is determined by the coronary patency which is proportional to VM concentration in the V compartment. Based on a set of numerical constants, the model is tested by simulating RHR to the various occlusion manoeuvres: a pair of 10 sec occlusions separated by brief release, a 15 sec release followed by a second brief occlusion, a brief release of an occlusion followed by restricted inflow and a period of restricted inflow after occlusion. The simulated results fit the experimental R/D and RH durations data of canine hearts. Factors that determine the impairment of RH capacity in coronary stenosis are suggested in terms of the model scheme.
journal_name
Bull Math Bioljournal_title
Bulletin of mathematical biologyauthors
Wong AYdoi
10.1007/BF02458320subject
Has Abstractpub_date
1995-01-01 00:00:00pages
137-56issue
1eissn
0092-8240issn
1522-9602pii
0092-8240(94)00028-Bjournal_volume
57pub_type
杂志文章abstract：:Coalescent models of evolution account for incomplete lineage sorting by specifying a species tree parameter which determines a distribution on gene trees, and consequently, a site pattern probability distribution. It has been shown that the unrooted topology of the species tree parameter of the multispecies coalescen...
journal_title：Bulletin of mathematical biology
pub_type： 杂志文章
doi：10.1007/s11538-018-0456-9
更新日期：2019-02-01 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：:Recent discoveries in ecological stoichiometry have indicated that food quality in terms of the phosphorus/carbon (P/C) ratio affects consumers whether the imbalance involves insufficient or excess nutrients. This phenomenon is called the "stoichiometric P/C knife-edge." In this study, we develop and analyze a produce...
journal_title：Bulletin of mathematical biology
pub_type： 杂志文章
doi：10.1007/s11538-019-00629-6
更新日期：2019-07-01 00:00:00
abstract：:Bacillus subtilis cells may opt to forgo normal cell division and instead form spores if subjected to certain environmental stimuli, for example nutrient deficiency or extreme temperature. The resulting spores are extremely resilient and can survive for extensive periods of time, importantly under particularly harsh c...
journal_title：Bulletin of mathematical biology
pub_type： 杂志文章
doi：10.1007/s11538-010-9530-7
更新日期：2011-01-01 00:00:00
abstract：:Haematopoiesis is comprised of multiple stages, originating from pluripotent stem cells through intermediate progenitors to mature differentiated cells. Consequently, during the development of blood cells numerous sites are potentially exposed to the intense perturbations induced by anticancer chemotherapy. However, l...
journal_title：Bulletin of mathematical biology
pub_type： 杂志文章
doi：10.1006/bulm.2002.0305
更新日期：2002-09-01 00:00:00
abstract：:A mathematical control model for the transmission dynamics of tuberculosis (TB) in South Korea is developed on the basis of the reported active-TB and relapse-TB incidence data. In this work, optimal control theory is used to propose optimal TB prevention and control strategy and rearrange the government TB budget for...
journal_title：Bulletin of mathematical biology
pub_type： 杂志文章
doi：10.1007/s11538-014-9962-6
更新日期：2014-07-01 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：:Radiation target theory has been extended to complex biochemical systems. Mathematical analyses are presented for multiple forms of biological active proteins, for the presence of large inhibitors or activators, for compounds which regulate rate or affinity and for multiple-step reactions. Several predictions of these...
journal_title：Bulletin of mathematical biology
pub_type： 杂志文章
doi：10.1007/BF02458298
更新日期：1995-11-01 00:00:00
abstract：:We present a multi-scale computer simulator of cancer progression at the tumoral level, from avascular stage growth, through the transition from avascular to vascular growth (neo-vascularization), and into the later stages of growth and invasion of normal tissue. We use continuum scale reaction-diffusion equations for...
journal_title：Bulletin of mathematical biology
pub_type： 杂志文章
doi：10.1016/j.bulm.2004.08.001
更新日期：2005-03-01 00:00:00
abstract：:A system of differential equations for the control of tumor growth cells in a cycle nonspecific chemotherapy is analyzed. Spontaneously acquired drug resistance is taken into account, and a criterion for the selection of chemotherapeutic treatment is used. This criterion purports to describe the possibility of improve...
journal_title：Bulletin of mathematical biology
pub_type： 杂志文章
doi：10.1007/BF02462001
更新日期：1997-03-01 00:00:00
abstract：:Based on the logistic growth law for a tumour derived from enzymatic dynamics, we address from a physical point of view the phenomena of synergism, additivity and antagonism in an avascular anti-tumour system regulated externally by dual coupling periodic interventions, and propose a theoretical model to simulate the ...
journal_title：Bulletin of mathematical biology
pub_type： 杂志文章
doi：10.1007/s11538-011-9693-x
更新日期：2012-02-01 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：:We develop a numerical method for estimating optimal parameters in a mathematical model of the within-host dynamics of malaria infection. The model consists of a quasilinear system of partial differential equations. Convergence theory for the computed parameters is provided. Following this analysis, we present several...
journal_title：Bulletin of mathematical biology
pub_type： 杂志文章
doi：10.1007/s11538-011-9650-8
更新日期：2011-11-01 00:00:00
abstract：:This paper investigates cell proliferation dynamics in small tumor cell aggregates using an individual-based model (IBM). The simulation model is designed to study the morphology of the cell population and of the cell lineages as well as the impact of the orientation of the division plane on this morphology. Our IBM m...
journal_title：Bulletin of mathematical biology
pub_type： 杂志文章
doi：10.1007/s11538-017-0333-y
更新日期：2017-10-01 00:00:00
abstract：:Developing a quantitative science of sustainability requires bridging mathematical concepts from fields contributing to sustainability science. The concept of substitutability is central to sustainability but is defined differently by different fields. Specifically, economics tends to define substitutability as a marg...
journal_title：Bulletin of mathematical biology
pub_type： 杂志文章
doi：10.1007/s11538-014-9963-5
更新日期：2015-02-01 00:00:00
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
更新日期：2004-03-01 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：:Cell motility is an essential phenomenon in almost all living organisms. It is natural to think that behavioral or shape changes of a cell bear information about the underlying mechanisms that generate these changes. Reading cell motion, namely, understanding the underlying biophysical and mechanochemical processes, i...
journal_title：Bulletin of mathematical biology
pub_type： 杂志文章
doi：10.1007/s11538-010-9580-x
更新日期：2011-03-01 00:00:00
abstract：:The nonlinear response of the simplest irreversible Michaelis-Menten enzyme is considered. In the context of metabolic networks, i.e. in vivo, the enzyme is subject to sustained, frequently time-dependent, input fluxes that keep the system out of equilibrium. The connection between the fluxes and the response is inves...
journal_title：Bulletin of mathematical biology
pub_type： 杂志文章
doi：10.1007/s11538-006-9111-y
更新日期：2006-08-01 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：:The human body's immune response to bacterial challenge, even when successful in controlling the infection, can result in negative consequences for the host, including reduced functionality of associated tissues. We present and analyze a low-dimensional mathematical model of this immune response to pathogen invasion, ...
journal_title：Bulletin of mathematical biology
pub_type： 杂志文章
doi：10.1007/s11538-018-0459-6
更新日期：2018-08-01 00:00:00
abstract：:Theoretical and empirical arguments are used to support the growth kinetics of disseminated tumors. Employing viable hypotheses, it is established that Gompertzian growth of disseminated cancer cells can be derived from a number of theoretical considerations. Empirical methods are used to validate and confirm the theo...
journal_title：Bulletin of mathematical biology
pub_type： 杂志文章
doi：10.1006/bulm.1999.0165
更新日期：2000-05-01 00:00:00
abstract：:Analytical methods for predicting and exploring the dynamics of stochastic, spatially interacting populations have proven to have useful application in epidemiology and ecology. An important development has been the increasing interest in spatially explicit models, which require more advanced analytical techniques tha...
journal_title：Bulletin of mathematical biology
pub_type： 杂志文章
doi：10.1006/bulm.2001.0234
更新日期：2001-07-01 00:00:00
abstract：:Cycles in biological populations have been shown to arise from enemy-victim systems, delayed density dependence, and maternal effects. In an initial effort to model the year-to-year dynamics of natural populations of entomopathogenic nematodes and their insect hosts, we find that a simple, nonlinear, mechanistic model...
journal_title：Bulletin of mathematical biology
pub_type： 杂志文章
doi：10.1016/j.bulm.2003.09.005
更新日期：2004-05-01 00:00:00
abstract：:Moment closure methods are widely used to analyze mathematical models. They are specifically geared toward derivation of approximations of moments of stochastic models, and of similar quantities in other models. The methods possess several weaknesses: Conditions for validity of the approximations are not known, magnit...
journal_title：Bulletin of mathematical biology
pub_type： 杂志文章
doi：10.1007/s11538-017-0321-2
更新日期：2017-09-01 00:00:00
abstract：:In this paper, we present computational techniques to investigate the effect of surface geometry on biological pattern formation. In particular, we study two-component, nonlinear reaction-diffusion (RD) systems on arbitrary surfaces. We build on standard techniques for linear and nonlinear analysis of RD systems and e...
journal_title：Bulletin of mathematical biology
pub_type： 杂志文章
doi：10.1007/s11538-017-0255-8
更新日期：2017-04-01 00:00:00
abstract：:In previous studies, we used a mathematical model of the thick ascending limb (TAL) to investigate nonlinearities in the tubuloglomerular feedback (TGF) loop. That model does not represent other segments of the nephron, the water, and NaCl transport along which may impact fluid flow rate and NaCl transport along the T...
journal_title：Bulletin of mathematical biology
pub_type： 杂志文章
doi：10.1007/s11538-009-9436-4
更新日期：2010-01-01 00:00:00
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
更新日期：2006-11-01 00:00:00
abstract：:This study investigates fluid flow and elastic deformation in tissues that are drained by the primary lymphatic system. A model is formulated based on the Rossi hypothesis that states that the primary lymphatic valves, which are formed by overlapping endothelial cells around the circumferential lining of lymphatic cap...
journal_title：Bulletin of mathematical biology
pub_type： 杂志文章
doi：10.1007/s11538-015-0078-4
更新日期：2015-06-01 00:00:00
abstract：:A system of differential equations for the control of tumor cells growth in a cycle nonspecific chemotherapy is presented. Spontaneously acquired drug resistance is accounted for, as well as the evolution in time of normal cells. In addition, optimization of conflicting objectives forms the aim of the chemotherapeutic...
journal_title：Bulletin of mathematical biology
pub_type： 杂志文章
doi：10.1007/BF02458426
更新日期：1997-07-01 00:00:00
