Abstract：
:A rather complete model of the gluconeogenic pathway was used, with the known separate pools of mitochondrial and cytosolic oxalacetate, malate and aspartate. The fumarase, malate dehydrogenase and glutamate oxalacetate transaminase reactions were assumed to be isotopically actively reversible, but none at isotopic equilibrium. Malate was assumed to exchange actively between the mitochondria and cytosol, while aspartate exchange was more limited, in agreement with the known electrogenic nature of aspartate export from the mitochondria. This model was fit to 14C data obtained in hepatocyte studies, and to the whole rat 14C data obtained by Heath and Rose (Biochem J. 227, 851-876, 1985). The latter data were easily fit to our model, when a single mitochondrial oxalacetate pool was assumed. However, invoking two mitochondrial oxalacetate pools, as proposed by Heath and Rose, with the oxalacetate formed via pyruvate carboxylase preferentially channelled to gluconeogenesis, could not be fit with the known differences in scrambling in glucose and glutamate produced from L[3-14C]lactate.
journal_name
Bull Math Bioljournal_title
Bulletin of mathematical biologyauthors
Rognstad Rdoi
10.1007/BF02460783subject
Has Abstractpub_date
1995-07-01 00:00:00pages
557-68issue
4eissn
0092-8240issn
1522-9602pii
S0092-8240(05)80757-8journal_volume
57pub_type
杂志文章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：: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
更新日期：2010-07-01 00:00:00
abstract：:In contrast to their name, biofilms are not always flat and homogeneous but instead often exhibit complex structural heterogeneity. It has been suggested that nonhomogeneous geometry is selected in order to increase biofilm growth rate. A previous study (Dockery and Klapper (2002) SIAM J. Appl. Math., 62, 853-869) of ...
journal_title：Bulletin of mathematical biology
pub_type： 杂志文章
doi：10.1016/j.bulm.2003.11.008
更新日期：2004-07-01 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：: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：: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：:We study the emergence of collective spatio-temporal objects in biological systems by representing individually the elementary interactions between their microscopic components. We use the immune system as a prototype for such interactions. The results of this detailed explicit analysis are compared with the tradition...
journal_title：Bulletin of mathematical biology
pub_type： 杂志文章
doi：10.1016/S0092-8240(03)00007-7
更新日期：2003-05-01 00:00:00
abstract：:The discovery of circular DNA, over 30 years ago, introduced an element of uneasiness in what had been, up to that point, the almost picture-perfect story of the elucidation of the molecular biology of heredity. If DNA indeed has the Watson-Crick right-handed helical secondary structure, then in circular DNA, thousand...
journal_title：Bulletin of mathematical biology
pub_type： 杂志文章
doi：10.1006/bulm.2002.0288
更新日期：2002-05-01 00:00:00
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
更新日期：1989-01-01 00:00:00
abstract：:Posttranslational modification of proteins is key in transmission of signals in cells. Many signaling pathways contain several layers of modification cycles that mediate and change the signal through the pathway. Here, we study a simple signaling cascade consisting of n layers of modification cycles such that the modi...
journal_title：Bulletin of mathematical biology
pub_type： 杂志文章
doi：10.1007/s11538-011-9658-0
更新日期：2012-01-01 00:00:00
abstract：:The origin of the modern genetic code and the mechanisms that have contributed to its present form raise many questions. The main goal of this work is to test two hypotheses concerning the development of the genetic code for their compatibility and complementarity and see if they could benefit from each other. On the ...
journal_title：Bulletin of mathematical biology
pub_type： 杂志文章
doi：10.1007/s11538-020-00724-z
更新日期：2020-04-04 00:00:00
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 occl...
journal_title：Bulletin of mathematical biology
pub_type： 杂志文章
doi：10.1007/BF02458320
更新日期：1995-01-01 00:00:00
abstract：:Classical evolutionary game theory (EGT) focuses on competition among phenotypes while assuming asexual transmission of these phenotypes to the next generation. However, phenotypic selection and sexual recombination are not necessarily mutually reinforcing in populations with sexual reproduction. In particular, it has...
journal_title：Bulletin of mathematical biology
pub_type： 杂志文章
doi：10.1007/s11538-020-00705-2
更新日期：2020-02-06 00:00:00
abstract：:Marine birds and mammals move between various habitats during the day as they engage in behaviors related to resting, sleeping, preening, feeding, and breeding. The per capita rates of movement between these habitats, and hence the habitat occupancy dynamics, often are functions of environmental variables such as tide...
journal_title：Bulletin of mathematical biology
pub_type： 杂志文章
doi：10.1007/s11538-005-9009-0
更新日期：2006-02-01 00:00:00
abstract：:Biological invasion is an important area of research in mathematical biology and more so if it concerns species which are vectors for diseases threatening the public health of large populations. That is certainly the case for Aedes aegypti and the dengue epidemics in South America. Without the prospect of an effective...
journal_title：Bulletin of mathematical biology
pub_type： 杂志文章
doi：10.1016/j.bulm.2004.08.005
更新日期：2005-05-01 00:00:00
abstract：:We introduce a mesoscopic scale chemotaxis model for traveling wave phenomena which is induced by food metric. The organisms of this simplified kinetic model have two discrete velocity modes, [Formula: see text] and a constant tumbling rate. The main feature of the model is that the speed of organisms is constant [For...
journal_title：Bulletin of mathematical biology
pub_type： 杂志文章
doi：10.1007/s11538-016-0235-4
更新日期：2017-02-01 00:00:00
abstract：:Mathematical models are useful for providing a framework for integrating data and gaining insights into the static and dynamic behavior of complex biological systems such as networks of interacting genes. We review the dynamic behaviors expected from model gene networks incorporating common biochemical motifs, and we ...
journal_title：Bulletin of mathematical biology
pub_type： 杂志文章,评审
doi：10.1006/bulm.1999.0155
更新日期：2000-03-01 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：:It is widely believed that the slowest dispersal strategy is selected in the evolutional if the environment is temporally invariant but spatially heterogeneous. Authors claim in this paper that this belief is true only if random dispersals with constant motility are considered. However, if a dispersal strategy with fi...
journal_title：Bulletin of mathematical biology
pub_type： 杂志文章
doi：10.1007/s11538-013-9904-8
更新日期：2013-12-01 00:00:00
abstract：:Fluorescence recovery after photobleaching (FRAP) is used to obtain quantitative information about molecular diffusion and binding kinetics at both cell and tissue levels of organization. FRAP models have been proposed to estimate the diffusion coefficients and binding kinetic parameters of species for a variety of bi...
journal_title：Bulletin of mathematical biology
pub_type： 杂志文章
doi：10.1007/s11538-016-0241-6
更新日期：2017-03-01 00:00:00
abstract：:This paper considers a model of foodwebs taking into account species extinction and invasion. We show that system stability depends not only on usual parameters (mortality rates, self-limitation coefficients, and resource abundances), but also on an additional parameter ("biodiversity potential"). The main result is a...
journal_title：Bulletin of mathematical biology
pub_type： 杂志文章
doi：10.1007/s11538-016-0216-7
更新日期：2016-11-01 00:00:00
abstract：:W.O. Kermack and A.G. McKendrick introduced in their fundamental paper, A Contribution to the Mathematical Theory of Epidemics, published in 1927, a deterministic model that captured the qualitative dynamic behavior of single infectious disease outbreaks. A Kermack–McKendrick discrete-time general framework, motivated...
journal_title：Bulletin of mathematical biology
pub_type： 杂志文章
doi：10.1007/s11538-013-9866-x
更新日期：2013-10-01 00:00:00
abstract：:A braced framework of tubular struts, in the walls and air spaces of frog lungs, suspends the respiratory surface and holds the lung open at zero transmural pressure withstanding imploding forces created by abdominal viscera, much as would the supports of a bell tent. The struts are tubes, having a larger second momen...
journal_title：Bulletin of mathematical biology
pub_type： 杂志文章
doi：10.1006/bulm.1999.0104
更新日期：1999-07-01 00:00:00
abstract：:Molecular motors such as kinesin and dynein are responsible for transporting material along microtubule networks in cells. In many contexts, motor dynamics can be modelled by a system of reaction-advection-diffusion partial differential equations (PDEs). Recently, quasi-steady-state (QSS) methods have been applied to ...
journal_title：Bulletin of mathematical biology
pub_type： 杂志文章
doi：10.1007/s11538-017-0314-1
更新日期：2017-09-01 00:00:00
abstract：:Nosocomial outbreaks of bacteria are well documented. Based on these incidents, and the heavy usage of antibiotics in hospitals, it has been assumed that antibiotic resistance evolves in hospital environments. To test this assumption, we studied resistance phenotypes of bacteria collected from patient isolates at a co...
journal_title：Bulletin of mathematical biology
pub_type： 杂志文章
doi：10.1007/s11538-016-0232-7
更新日期：2017-01-01 00:00:00
abstract：:Many neurons in mammalian sensory systems exhibit On and Off responses when given appropriate excitatory and inhibitory stimuli. In some instances, such neurons can also exhibit a Mixed response where diminished On and Off responses are both present. In this manuscript, we present a simple single cell model for these ...
journal_title：Bulletin of mathematical biology
pub_type： 杂志文章
doi：10.1007/s11538-008-9358-6
更新日期：2009-01-01 00:00:00
abstract：:A stochastic analog to a deterministic model describing subpopulation emergence in heterogeneous tumors is developed. The resulting system is described by the Fokker-Planck or forward Kolmogorov equation. A finite element approach for the numerical solution to this equation is described. Four biological and clinical s...
journal_title：Bulletin of mathematical biology
pub_type： 杂志文章
doi：10.1007/BF02459658
更新日期：1989-01-01 00:00:00
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...
journal_title：Bulletin of mathematical biology
pub_type： 杂志文章
doi：10.1006/bulm.1997.0032
更新日期：1998-03-01 00:00:00
abstract：:Direct reciprocity is a chief mechanism of mutual cooperation in social dilemma. Agents cooperate if future interactions with the same opponents are highly likely. Direct reciprocity has been explored mostly by evolutionary game theory based on natural selection. Our daily experience tells, however, that real social a...
journal_title：Bulletin of mathematical biology
pub_type： 杂志文章
doi：10.1007/s11538-009-9424-8
更新日期：2009-11-01 00:00:00
abstract：:An algorithm for computing the linear noise approximation (LNA) of the reaction-diffusion master equation (RDME) is developed and tested. The RDME is often used as a model for biochemical reaction networks. The LNA is derived for a general discretization of the spatial domain of the problem. If M is the number of chem...
journal_title：Bulletin of mathematical biology
pub_type： 杂志文章
doi：10.1007/s11538-018-0428-0
更新日期：2019-08-01 00:00:00
