Sex, Mosquitoes and Epidemics: An Evaluation of Zika Disease Dynamics.

abstract：:Many aquatic organisms detect the presence of moving objects in their environment, such as predators, by sensing the hydrodynamic disturbances the movements produce. The resultant water flow is readily detectable by stationary organisms, but free-swimming organisms are carried with the surrounding water and may not de...

journal_title：Bulletin of mathematical biology

authors： Takagi D,Hartline DK

更新日期：2018-01-01 00:00:00

abstract：:Understanding how ecosystems evolve and how they respond to external perturbations is critical if we are to predict the effects of human intervention. A particular class of ecosystems whose dynamics are poorly understood are those in which the species are related via cross-feeding. In these ecosystems the metabolic ou...

journal_title：Bulletin of mathematical biology

authors： Lundh T,Gerlee P

更新日期：2013-05-01 00:00:00

abstract：:The F-actin network and cytosol in the lamellipodia of crawling cells flow in a centripetal pattern and spout-like form, respectively. We have numerically studied this two-phase flow in the realistic geometry of a moving keratocyte. Cytosol has been treated as a low viscosity Newtonian fluid flowing through the high v...

journal_title：Bulletin of mathematical biology

authors： Nikmaneshi MR,Firoozabadi B,Saidi MS

更新日期：2015-09-01 00:00:00

abstract：:A model, based on the principles of continuum mechanics, is presented for the analysis of cell-velocity fields within wool follicles. The model requires specification of three follicle characteristics in the form of spatially varying fields: viscosity, cell density and cell production rate. The viscosity is introduced...

journal_title：Bulletin of mathematical biology

authors： Louie K,Hall AJ,Gandar PW

更新日期：1998-01-01 00:00:00

abstract：:Most of present mathematical models for biological activity consider just the molecular structure. In the present article we pretend extending the use of Markov chain models to define novel molecular descriptors, which consider in addition other parameters like target site or biological effect. Specifically, this math...

journal_title：Bulletin of mathematical biology

authors： Cruz-Monteagudo M,González-Díaz H,Uriarte E

更新日期：2006-10-01 00:00:00

abstract：:We consider organisms which use a renewal strategy such as run-tumble when moving in space, for example to perform chemotaxis in chemical gradients. We derive a diffusion approximation for the motion, applying a central limit theorem due to Anscombe for renewal-reward processes; this theorem has not previously been ap...

journal_title：Bulletin of mathematical biology

authors： Thygesen UH

更新日期：2016-03-01 00:00:00

abstract：:Microtubules (MTs) are protein filaments found in all eukaryotic cells which are crucial for many cellular processes including cell movement, cell differentiation, and cell division. Due to their role in cell division, they are often used as targets for chemotherapy drugs used in cancer treatment. Experimental studies...

journal_title：Bulletin of mathematical biology

authors： Honoré S,Hubert F,Tournus M,White D

更新日期：2019-03-01 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

authors： Hu WY,Zhong WR,Wang FH,Li L,Shao YZ

更新日期：2012-02-01 00:00:00

abstract：:In this paper, we introduce multiscale persistent functions for biomolecular structure characterization. The essential idea is to combine our multiscale rigidity functions (MRFs) with persistent homology analysis, so as to construct a series of multiscale persistent functions, particularly multiscale persistent entrop...

journal_title：Bulletin of mathematical biology

authors： Xia K,Li Z,Mu L

更新日期：2018-01-01 00:00:00

abstract：:In this paper we introduce and study a model for electrical activity of cardiac membrane which incorporates only an inward and an outward current. This model is useful for three reasons: (1) Its simplicity, comparable to the FitzHugh-Nagumo model, makes it useful in numerical simulations, especially in two or three sp...

journal_title：Bulletin of mathematical biology

authors： Mitchell CC,Schaeffer DG

更新日期：2003-09-01 00:00:00

abstract：:Recent experimental evidence suggests that vasculogenesis may play an important role in tumour vascularisation. While angiogenesis involves the proliferation and migration of endothelial cells (ECs) in pre-existing vessels, vasculogenesis involves the mobilisation of bone-marrow-derived endothelial progenitor cells (E...

journal_title：Bulletin of mathematical biology

authors： Stamper IJ,Byrne HM,Owen MR,Maini PK

更新日期：2007-11-01 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

authors： Fishman MA

更新日期：2020-02-06 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

authors： Dalmau J

更新日期：2018-07-01 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

authors： Daub M

更新日期：2013-11-01 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：: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

authors： Louzoun Y,Solomon S,Atlan H,Cohen IR

更新日期：2003-05-01 00:00:00

abstract：:Although cell migration is an essential process in development, how cells reach their final destination is not well understood. Secreted molecules are known to have a migratory effect, but it remains unclear whether such molecules act as directional guidance cues or as motility regulators. There is potential to use si...

journal_title：Bulletin of mathematical biology

authors： Cai AQ,Landman KA,Hughes BD

更新日期：2006-01-01 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

authors： Bokes P,Lin YT,Singh A

更新日期：2018-07-01 00:00:00

abstract：:Previous models of the renal concentrating mechanism employ ideal approximations of solution thermodynamics for membrane transport calculation. In three-dimensional models of the renal medulla, predicted urine concentrations reach levels where these idealized approximations begin to break down. In this paper we derive...

journal_title：Bulletin of mathematical biology

authors： Wang X,Wexler AS,Marsh DJ

更新日期：1994-05-01 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

authors： Choi SH,Kim YJ

更新日期：2017-02-01 00:00:00

abstract：:Evidence suggests that many G protein-coupled receptors (GPCRs) are bound together forming dimers. The implications of dimerisation for cellular signalling outcomes, and ultimately drug discovery and therapeutics, remain unclear. Consideration of ligand binding and signalling via receptor dimers is therefore required ...

journal_title：Bulletin of mathematical biology

authors： White C,Bridge LJ

更新日期：2019-09-01 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：:Two types of behavior have been previously reported in models of immune networks. The typical behavior of simple models, which involve B cells only, is stationary behavior involving several steady states. Finite amplitude perturbations may cause the model to switch between different equilibria. The typical behavior of...

journal_title：Bulletin of mathematical biology

authors： De Boer RJ,Perelson AS,Kevrekidis IG

更新日期：1993-01-01 00:00:00

abstract：:A staged-progression HIV model is formulated and used to investigate the potential impact of an imperfect vaccine. The vaccine is assumed to have several desirable characteristics such as protecting against infection, causing bypass of the primary infection stage, and offering a disease-altering therapeutic effect (so...

journal_title：Bulletin of mathematical biology

authors： Gumel AB,McCluskey CC,van den Driessche P

更新日期：2006-11-01 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

authors： Shochat E,Stemmer SM,Segel L

更新日期：2002-09-01 00:00:00

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

authors： Mugwagwa T,Witten G

更新日期：2007-01-01 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：:Aging in Caenorhabditis elegans is controlled, in part, by the insulin-like signaling and heat shock response pathways. Following thermal stress, expression levels of small heat shock protein-16.2 show a spatial patterning across the 20 intestinal cells that reside along the length of the worm. Here, we present a hypo...

journal_title：Bulletin of mathematical biology

authors： Wentz JM,Mendenhall AR,Bortz DM

更新日期：2018-10-01 00:00:00

abstract：:Cardiac and neural systems share common features of intrinsic oscillation in some cells as well as the ability to propagate excitation. One theoretical approach to study such systems is to develop realistic models for the tissue. This involves first developing detailed ionic "Hodgkin-Huxley"-type models of individual ...

journal_title：Bulletin of mathematical biology

authors： Glass L,Shrier A

更新日期：2015-05-01 00:00:00

abstract：:Whilst the human body expends energy constantly, the human diet consists of a mix of carbohydrates and fats delivered in a discontinuous manner. To deal with this sporadic supply of energy, there are transport, storage and utilisation mechanisms, for both carbohydrates and fats, around all tissues of the body. Insulin...

journal_title：Bulletin of mathematical biology

authors： Pearson T,Wattis JA,King JR,MacDonald IA,Mazzatti DJ

更新日期：2016-06-01 00:00:00