Abstract：
:This paper describes an efficient method for tracing interactions between a radiation track and molecular targets in a cell or nucleus. The method is efficient because it ensures that a minimal subset of interactions in the track needs to be tested for each score. It is most useful for high-energy particles since the number of interactions and range of the tracks increase with particle energy. In this method, the set of interactions, i.e. the track, is considered as a collection of points in three-dimensional space. This set, together with the eight vertices of a bounding box, is discretised as a collection of tetrahedra, each of which satisfies the Delaunay criterion. Because of the geometric properties of these tetrahedra, only those points which are connected to vertices of tetrahedra through which the target passes need be tested for scoring. An efficient algorithm is used to follow the track through the cell or the nucleus. The main benefit of the method is that it eliminates the need to test those interactions which are geometrically distant from the target. In particular, in cases where there are no interactions in the target, very few interactions need to be checked.
journal_name
Math Bioscijournal_title
Mathematical biosciencesauthors
Fitzsimons CJ,Nikjoo H,Bolton CE,Goodhead DTdoi
10.1016/s0025-5564(98)10045-7subject
Has Abstractpub_date
1998-12-15 00:00:00pages
103-15issue
2eissn
0025-5564issn
1879-3134pii
S0025-5564(98)10045-7journal_volume
154pub_type
杂志文章abstract：:WHO tuberculosis researchers recently published a mathematical model to predict TB incidence decline with fulfillment of Sustainable Development Goal (SDG) subtargets [1]. This model omitted the subtargets of land rights and basic services and of reduction in deaths from climatic disaster, likely highly influential fa...
journal_title：Mathematical biosciences
pub_type： 杂志文章
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更新日期：2019-07-01 00:00:00
abstract：:Bacterial biofilms are complex microbial depositions on immersed interfaces that form wherever the environmental conditions sustain microbial growth. Despite their name, biofilms can develop in highly irregular structures. Recently several mathematical concepts have been introduced to model these spatially structured ...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2011.05.006
更新日期：2011-09-01 00:00:00
abstract：:Employing theoretical models, we show that the sterile insect release method (SIRM) can give rise to traveling waves of fertile insects. The velocity of these waves depends critically upon the density of sterile insects (and thus upon the rate at which sterile individuals are being released into the environment). When...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/0025-5564(93)90067-k
更新日期：1993-08-01 00:00:00
abstract：:Most endocrine cells secrete hormones as a result of Ca2+-regulated exocytosis, i.e., fusion of the membranes of hormone-containing secretory granules with the cell membrane, which allows the hormone molecules to escape to the extracellular space. As in neurons, electrical activity and cell depolarization open voltage...
journal_title：Mathematical biosciences
pub_type： 杂志文章,评审
doi：10.1016/j.mbs.2016.11.010
更新日期：2017-01-01 00:00:00
abstract：:The high failure rates encountered in the chemotherapy of some cancers suggest that drug resistance is a common phenomenon. In the current study, the tumor burden during therapy is used to slow the growth of the drug-resistant cells, thereby maximizing the survival time of the host. Three types of tumor growth model a...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/0025-5564(92)90038-x
更新日期：1992-07-01 00:00:00
abstract：:Under the influence of human population distribution, the boyciana-fish ecological system is considered. First, the system can be described as a nonlinear partial differential algebraic equations system (PDAEs) with Neumann boundary conditions and ratio-dependent functional response. Second, we examine the system's pe...
journal_title：Mathematical biosciences
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doi：10.1016/j.mbs.2016.04.012
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journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2012.03.001
更新日期：2012-05-01 00:00:00
abstract：:A mechanistic model of the Fitzhugh-Nagumo type is proposed for the pulse-like jasmonate response in plants. The model is composed of a bistable signaling pathway coupled to a negative feedback loop. The bistable signaling pathway describes a recently discovered positive feedback loop involving jasmonate and the MYC2 ...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2016.01.001
更新日期：2016-03-01 00:00:00
abstract：:The spread of the human immunodeficiency virus (HIV) depends prominently on the migration of people between different regions. An important consequence of this population mobility is that HIV control strategies that are optimal in a regional sense may not be optimal in a national sense. We formulate various mathematic...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2008.03.003
更新日期：2008-06-01 00:00:00
abstract：:Many situations in population biology involve a rate--typically a contact or recruitment rate--which increases linearly for small populations but reaches a maximum value (saturates) for large populations. Models for populations of variable size need to incorporate both characteristics to predict behavior accurately. T...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2004.11.001
更新日期：2004-12-01 00:00:00
abstract：:An optimal input of nutrients into the metabolic process of the individual subject so as to effect desired therapeutic results is particularly important for the critically ill. A patient-related, individualized nutrients optimization procedure is proposed here. The procedure is applicable to any time-invariant and det...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/0025-5564(89)90004-7
更新日期：1989-12-01 00:00:00
abstract：:Cyclic four-state models are frequently used in biology to represent a variety of molecular behaviors. A common experimental strategy to test such models is to follow the behavior of the real system after some of the rate constants are changed in a stepwise manner. We analyze the mathematical behavior of a simple exam...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/0025-5564(92)90086-c
更新日期：1992-11-01 00:00:00
abstract：:An integrated methodology is developed for the theoretical analysis of solute transport and reaction in cellular biological media, such as tissues, microbial flocs, and biofilms. First, the method of local spatial averaging with a weight function is used to establish the equation which describes solute conservation at...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2007.04.008
更新日期：2007-11-01 00:00:00
abstract：:The goal of this article is to formulate and analyze the simplest logistic pair-formation model and to contrast its dynamics to that of the corresponding Malthusian pair-formation model, that is, a generalization of the Kendall-Keyfitz model. The Malthusian pair-formation model supports a unique nontrivial stable expo...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/0025-5564(94)00077-d
更新日期：1995-07-01 00:00:00
abstract：:The problem of moment closure is central to the study of multitype stochastic population dynamics since equations for moments up to a given order will generally involve higher-order moments. To obtain a Normal approximation, the standard approach is to replace third- and higher-order moments by zero, which may be seve...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/s0025-5564(00)00037-7
更新日期：2000-11-01 00:00:00
abstract：:This study is a theoretical excursion into gravity models and their usability in evaluating importance of spatial structure and population development for the spread of colonizing organisms. A so called "gravity score" for sites is deduced, and such a score could be used for predicting risk of colonization once one si...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2009.08.008
更新日期：2009-11-01 00:00:00
abstract：:This paper deals with numerical modeling and simulation of heat transfer in skin tissues using non-linear dual-phase-lag (DPL) bioheat transfer model under periodic heat flux boundary condition. The blood perfusion is assumed temperature-dependent which results in non-linear DPL bioheat transfer model in order to pred...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2017.08.009
更新日期：2017-11-01 00:00:00
abstract：:During normal, voluntary movements, skeletal muscles typically contract in a highly dynamic manner; the length of the muscle and the speed of contraction change continuously. In this study, we present an approach to predict the accurate behavior of muscles for such dynamic contractions using Huxley's cross-bridge mode...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/s0025-5564(96)00115-0
更新日期：1997-01-01 00:00:00
abstract：:In this paper we compare foraging strategies that might be used by predators seeking prey in a patchy environment. The strategies differ in the extent to which predators aggregate in response to prey density. The approach to the comparison is suggested by the idea of evolutionarily stable strategies. A strategy is sai...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/s0025-5564(99)00027-9
更新日期：1999-08-01 00:00:00
abstract：:Weakly electric fish continuously emit a quasi-sinusoidal electric organ discharge (EOD) to probe their near environment (electrolocation). P-type tuberous receptors located on their skin respond to amplitude modulations of the EOD by varying their firing rate. These receptors, and the neuronal circuitry downstream fr...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2003.08.012
更新日期：2004-03-01 00:00:00
abstract：:Mathematical models of biological systems often have components that vary on different timescales. This multi-timescale character can lead to problems when doing computer simulations, which can require a great deal of computer time so that the components that change on the fastest time scale can be resolved. Mathemati...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2016.07.003
更新日期：2017-05-01 00:00:00
abstract：:A multicompartmental model is proposed to deal with the spread of the HIV epidemic. Stratification with respect to high- and low-risk groups is taken into account, introducing a "fuzzy" decomposition of the compartment of susceptibles. The infectivity period is staged using different levels of CD4 cell counts. Asympto...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/0025-5564(91)90021-a
更新日期：1991-12-01 00:00:00
abstract：:The contraction of intestinal smooth muscle cells (ISMCs) involves many coordinated biochemical and mechanical processes. In this work, we present a framework for modeling ISMC contractility that begins with chemical models of calcium dynamics, continues with myosin light chain phosphorylation and force generation, an...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2014.12.009
更新日期：2015-04-01 00:00:00
abstract：:Quantitative models for characterising the detailed branching patterns of dendritic trees aim to explain these patterns either in terms of growth models based on principles of dendritic development or reconstruction models that describe an existing structure by means of a canonical set of elementary properties of dend...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2006.08.005
更新日期：2007-02-01 00:00:00
abstract：:A stochastic model is presented of carcinogenesis induced by irradiation with arbitrary time-dependent dose rate. The key feature of the model is that it allows for radiation-induced cell killing to compete with the process of tumor promotion. Two versions of the model arise when considering target tissues with slow a...
journal_title：Mathematical biosciences
pub_type： 杂志文章,评审
doi：10.1016/0025-5564(95)00047-x
更新日期：1996-02-01 00:00:00
abstract：:A Gompertz-type diffusion process characterized by the presence of exogenous factors in the drift term is considered. Such a process is able to describe the dynamics of populations in which both the intrinsic rates are modified by means of time-dependent terms. In order to quantify the effect of such terms the evaluat...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2013.01.001
更新日期：2013-09-01 00:00:00
abstract：:For cDNA array methods that depend on imaging of a radiolabel, we show that bleedover of one spot onto another, due to the gap between the array and the imaging media, can be a major problem. The images can be sharpened, however, using a blind convolution method based on the EM algorithm. The sharpened images look lik...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/s0025-5564(01)00101-8
更新日期：2002-03-01 00:00:00
abstract：OBJECTIVE:Biological processes actually are a dynamic molecular process over time. Time course gene expression experiments provide opportunities to explore patterns of gene expression change over a time and understand the dynamic behavior of gene expression, which is crucial for study on development and progression of ...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2016.08.012
更新日期：2016-11-01 00:00:00
abstract：:In a previous paper we studied the spread of excitation in a simplified model of the left ventricle, affected by fiber structure and obliqueness, curvature of the wall and Purkinje network. In the present paper we investigate the extracellular potential distribution u in the same ventricular model. Given the transmemb...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/s0025-5564(98)10004-4
更新日期：1998-07-01 00:00:00
abstract：:A significant consideration in modeling systems with stages is to obtain models for the individual stages that have probability density functions (pdfs) of residence times that are close to those of the real system. Consequently, the theory of residence time distributions is important for modeling. Here I show first t...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/s0025-5564(02)00110-4
更新日期：2002-11-01 00:00:00
