Mathematical programming models for determining the optimal location of beehives.

abstract：:The Hodgkin and Huxley equations have served as the benchmark model in electrophysiology since 1950s. But it suffers from four major drawbacks. Firstly, it is only phenomenological not mechanistic. Secondly, it fails to exhibit the all-or-nothing firing mechanism for action potential generation. Thirdly, it lacks a th...

journal_title：Bulletin of mathematical biology

authors： Deng B

更新日期：2017-06-01 00:00:00

abstract：:Logical modeling of biological regulatory networks gives rise to a representation of the system's dynamics as a so-called state transition graph. Analysis of such a graph in its entirety allows for a comprehensive understanding of the functionalities and behavior of the modeled system. However, the size of the vertex ...

journal_title：Bulletin of mathematical biology

authors： Lorenz T,Siebert H,Bockmayr A

更新日期：2013-06-01 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

authors： Masuda N,Ohtsuki H

更新日期：2009-11-01 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

authors： Dobreva A,Paus R,Cogan NG

更新日期：2020-02-24 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

authors： Martin DE

更新日期：2006-11-01 00:00:00

abstract：:In phylogenetics, a common strategy used to construct an evolutionary tree for a set of species [Formula: see text] is to search in the space of all such trees for one that optimizes some given score function (such as the minimum evolution, parsimony or likelihood score). As this can be computationally intensive, it w...

journal_title：Bulletin of mathematical biology

authors： Bastkowski S,Moulton V,Spillner A,Wu T

更新日期：2015-01-01 00:00:00

abstract：:Small populations at risk of extinction due to threshold or competitive exclusion have a vested interest in rapid growth. Taking chance of survival into account for diploid populations, Fisher's theorem predicts a sex ratio favoring females under certain circumstances. Theoretical consideration of competitive exclusio...

journal_title：Bulletin of mathematical biology

authors： Johnson SD

更新日期：2010-01-01 00:00:00

abstract：:Cancer is a complex phenomenon, and the sheer variation in behaviour across different types renders it difficult to ascertain underlying biological mechanisms. Experimental approaches frequently yield conflicting results for myriad reasons, and mathematical modelling of cancer is a vital tool to explore what we cannot...

journal_title：Bulletin of mathematical biology

authors： Grimes DR,Fletcher AG

更新日期：2020-01-22 00:00:00

abstract：:The time-dependent surface coverage of antigen-antibody complexes for a sensor in which antigens are bound to surface immobilized antibodies is determined analytically. Assuming a reversible first order reaction between the antigens and antibodies, a model is derived describing the dynamical response of the sensor. Th...

journal_title：Bulletin of mathematical biology

authors： Geurts BJ

更新日期：1989-01-01 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

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

更新日期：2004-03-01 00:00:00

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 eq...

journal_title：Bulletin of mathematical biology

authors： Rognstad R

更新日期：1995-07-01 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

authors： De Boer RJ,Hogeweg P

更新日期：1989-01-01 00:00:00

abstract：:Spatial oscillations of proteins in bacteria have recently attracted much attention. The cellular mechanism underlying these oscillations can be studied at molecular as well as at more macroscopic levels. We construct a minimal mathematical model with two proteins that is able to produce self-sustained regular pole-to...

journal_title：Bulletin of mathematical biology

authors： Rashkov P,Schmitt BA,Søgaard-Andersen L,Lenz P,Dahlke S

更新日期：2012-09-01 00:00:00

abstract：:The advances in genetics and biochemistry that have taken place over the last 10 years led to significant advances in experimental and clinical immunology. In turn, this has led to the development of new mathematical models to investigate qualitatively and quantitatively various open questions in immunology. In this s...

journal_title：Bulletin of mathematical biology

authors： Eftimie R,Gillard JJ,Cantrell DA

更新日期：2016-10-01 00:00:00

abstract：:Gene transcription is a central cellular process and is stochastic in nature. The stochasticity has been studied in real cells and in theory, but often for the transcription activated by a single signaling pathway at steady-state. As transcription of many genes is involved with multiple pathways, we investigate how th...

journal_title：Bulletin of mathematical biology

authors： Sun Q,Tang M,Yu J

更新日期：2012-02-01 00:00:00

abstract：:It is well established that in problems featuring slow passage through a Hopf bifurcation (dynamic Hopf bifurcation) the transition to large-amplitude oscillations may not occur until the slowly changing parameter considerably exceeds the value predicted from the static Hopf bifurcation analysis (temporal delay effect...

journal_title：Bulletin of mathematical biology

authors： Bilinsky LM,Baer SM

更新日期：2018-01-01 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

authors： Kim YJ,Kwon O,Li F

更新日期：2013-12-01 00:00:00

abstract：:One of the main challenges in systems biology is the establishment of the metabolome: a catalogue of the metabolites and biochemical reactions present in a specific organism. Current knowledge of biochemical pathways as stored in public databases such as KEGG, is based on carefully curated genomic evidence for the pre...

journal_title：Bulletin of mathematical biology

authors： Félix L,Rosselló F,Valiente G

更新日期：2009-04-01 00:00:00

abstract：:Since the first major outbreak reported on the island Yap in 2007, the Zika virus spread has alerted the scientific community worldwide. Zika is an arbovirus transmitted by Aedes mosquitoes; particularly in Central and South America, the main vector is the same mosquito that transmits dengue and chikungunya, Aedes aeg...

journal_title：Bulletin of mathematical biology

authors： Baca-Carrasco D,Velasco-Hernández JX

更新日期：2016-11-01 00:00:00

abstract：:We propose a new geometric buildup algorithm for the solution of the distance geometry problem in protein modeling, which can prevent the accumulation of the rounding errors in the buildup calculations successfully and also tolerate small errors in given distances. In this algorithm, we use all instead of a subset of ...

journal_title：Bulletin of mathematical biology

authors： Sit A,Wu Z,Yuan Y

更新日期：2009-11-01 00:00:00

abstract：:Dengue is a growing public health problem in tropical and subtropical cities. It is transmitted by mosquitoes, and the main strategy for epidemic prevention and control is insecticide fumigation. Effective management is, however, proving elusive. People's day-to-day movement about the city is believed to be an importa...

journal_title：Bulletin of mathematical biology

authors： Falcón-Lezama JA,Martínez-Vega RA,Kuri-Morales PA,Ramos-Castañeda J,Adams B

更新日期：2016-10-01 00:00:00

abstract：:A protein fold can be viewed as a self-avoiding walk in certain lattice model, and its contact map is a graph that represents the patterns of contacts in the fold. Goldman, Istrail, and Papadimitriou showed that a contact map in the 2D square lattice can be decomposed into at most two stacks and one queue. In the term...

journal_title：Bulletin of mathematical biology

authors： Guo QH,Sun LH,Wang J

更新日期：2017-01-01 00:00:00

abstract：:Knowledge about large-scale and long-term dynamics of (natural) populations is required to assess the efficiency of control strategies, the potential for long-term persistence, and the adaptability to global changes such as habitat fragmentation and global warming. For most natural populations, such as pest population...

journal_title：Bulletin of mathematical biology

authors： Soubeyrand S,Neuvonen S,Penttinen A

更新日期：2009-02-01 00:00:00

abstract：:Collective dynamics of migrating cell populations drive key processes in tissue formation and maintenance under normal and diseased conditions. Collective cell behavior at the tissue level is typically characterized by considering cell density patterns such as clusters and moving cell fronts. However, there are also i...

journal_title：Bulletin of mathematical biology

authors： Mente C,Voss-Böhme A,Deutsch A

更新日期：2015-04-01 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

authors： Choi SH,Kim YJ

更新日期：2017-02-01 00:00:00

abstract：:It has been recently observed that the dynamical properties of mass action systems arising from many models of biochemical reaction networks can be characterized by considering the corresponding properties of a related generalized mass action system. The correspondence process known as network translation in particula...

journal_title：Bulletin of mathematical biology

authors： Johnston MD

更新日期：2015-06-01 00:00:00

abstract：:The mechanical behavior of the actin cytoskeleton has previously been investigated using both experimental and computational techniques. However, these investigations have not elucidated the role the cytoskeleton plays in the compression resistance of cells. The present study combines experimental compression techniqu...

journal_title：Bulletin of mathematical biology

authors： Weafer PP,Ronan W,Jarvis SP,McGarry JP

更新日期：2013-08-01 00:00:00

abstract：:The tumour suppressor gene, p53, plays an important role in tumour development. Under low levels of oxygen (hypoxia), cells expressing wild-type p53 undergo programmed cell death (apoptosis), whereas cells expressing mutations in the p53 gene may survive and express angiogenic growth factors that stimulate tumour vasc...

journal_title：Bulletin of mathematical biology

authors： Gammack D,Byrne HM,Lewis CE

更新日期：2001-01-01 00:00:00

abstract：:We derive point and interval estimates for an urban population of green tree frogs (Hyla cinerea) from capture-mark-recapture field data obtained during the years 2006-2009. We present an infinite-dimensional least-squares approach which compares a mathematical population model to the statistical population estimates ...

journal_title：Bulletin of mathematical biology

authors： Ackleh AS,Carter J,Deng K,Huang Q,Pal N,Yang X

更新日期：2012-03-01 00:00:00

abstract：:Advances in fluorescent labeling of cells as measured by flow cytometry have allowed for quantitative studies of proliferating populations of cells. The investigations (Luzyanina et al. in J. Math. Biol. 54:57-89, 2007; J. Math. Biol., 2009; Theor. Biol. Med. Model. 4:1-26, 2007) contain a mathematical model with fluo...

journal_title：Bulletin of mathematical biology

authors： Banks HT,Sutton KL,Thompson WC,Bocharov G,Roose D,Schenkel T,Meyerhans A

更新日期：2011-01-01 00:00:00