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Journal articles on the topic 'Cellular control mechanisms – Mathematical models'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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1

Lomeli, Luis Martinez, Abdon Iniguez, Prasanthi Tata, et al. "Optimal experimental design for mathematical models of haematopoiesis." Journal of The Royal Society Interface 18, no. 174 (2021): 20200729. http://dx.doi.org/10.1098/rsif.2020.0729.

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The haematopoietic system has a highly regulated and complex structure in which cells are organized to successfully create and maintain new blood cells. It is known that feedback regulation is crucial to tightly control this system, but the specific mechanisms by which control is exerted are not completely understood. In this work, we aim to uncover the underlying mechanisms in haematopoiesis by conducting perturbation experiments, where animal subjects are exposed to an external agent in order to observe the system response and evolution. We have developed a novel Bayesian hierarchical framew

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Pedersen, Morten Gram, Gianna M. Toffolo, and Claudio Cobelli. "Cellular modeling: insight into oral minimal models of insulin secretion." American Journal of Physiology-Endocrinology and Metabolism 298, no. 3 (2010): E597—E601. http://dx.doi.org/10.1152/ajpendo.00670.2009.

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The oral glucose tolerance test and meal tolerance test are common clinical tests of the glucose-insulin system. Several mathematical models have been suggested as means to extract information about β-cell function from data from oral tolerance tests. Any such model needs to be fairly simple but should at the same time be linked to the underlying biology of the insulin-secreting β-cells. The scope of the present work is to present a way to make such a connection using a recent model describing intracellular mechanisms. We show how the three main components of oral minimal secretion models, der

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DRASDO, DIRK. "COARSE GRAINING IN SIMULATED CELL POPULATIONS." Advances in Complex Systems 08, no. 02n03 (2005): 319–63. http://dx.doi.org/10.1142/s0219525905000440.

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The main mechanisms that control the organization of multicellular tissues are still largely open. A commonly used tool to study basic control mechanisms are in vitro experiments in which the growth conditions can be widely varied. However, even in vitro experiments are not free from unknown or uncontrolled influences. One reason why mathematical models become more and more a popular complementary tool to experiments is that they permit the study of hypotheses free from unknown or uncontrolled influences that occur in experiments. Many model types have been considered so far to model multicell

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4

Adams, DS. "Mechanisms of cell shape change: the cytomechanics of cellular response to chemical environment and mechanical loading." Journal of Cell Biology 117, no. 1 (1992): 83–93. http://dx.doi.org/10.1083/jcb.117.1.83.

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Processes such as cell locomotion and morphogenesis depend on both the generation of force by cytoskeletal elements and the response of the cell to the resulting mechanical loads. Many widely accepted theoretical models of processes involving cell shape change are based on untested hypotheses about the interaction of these two components of cell shape change. I have quantified the mechanical responses of cytoplasm to various chemical environments and mechanical loading regimes to understand better the mechanisms of cell shape change and to address the validity of these models. Measurements of

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Edwards, Aurélie. "Modeling transport in the kidney: investigating function and dysfunction." American Journal of Physiology-Renal Physiology 298, no. 3 (2010): F475—F484. http://dx.doi.org/10.1152/ajprenal.00501.2009.

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Mathematical models of water and solute transport in the kidney have significantly expanded our understanding of renal function in both health and disease. This review describes recent theoretical developments and emphasizes the relevance of model findings to major unresolved questions and controversies. These include the fundamental processes by which urine is concentrated in the inner medulla, the ultrastructural basis of proteinuria, irregular flow oscillation patterns in spontaneously hypertensive rats, and the mechanisms underlying the hypotensive effects of thiazides. Macroscopic models

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Goryachev, Andrew B., and Marcin Leda. "Compete or Coexist? Why the Same Mechanisms of Symmetry Breaking Can Yield Distinct Outcomes." Cells 9, no. 9 (2020): 2011. http://dx.doi.org/10.3390/cells9092011.

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Cellular morphogenesis is governed by the prepattern based on the symmetry-breaking emergence of dense protein clusters. Thus, a cluster of active GTPase Cdc42 marks the site of nascent bud in the baker’s yeast. An important biological question is which mechanisms control the number of pattern maxima (spots) and, thus, the number of nascent cellular structures. Distinct flavors of theoretical models seem to suggest different predictions. While the classical Turing scenario leads to an array of stably coexisting multiple structures, mass-conserved models predict formation of a single spot that

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7

Tallarida, R. J. "Receptor discrimination and control of agonist-antagonist binding." American Journal of Physiology-Endocrinology and Metabolism 269, no. 2 (1995): E379—E391. http://dx.doi.org/10.1152/ajpendo.1995.269.2.e379.

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The law of mass action is the common model for the interaction of agonist and antagonist compounds with cellular receptors. Parameters of the interaction, obtained from functional and radioligand-binding studies, allow discrimination and subtyping of receptors and aid in understanding specific mechanisms. This article reviews the theory and associated mathematical models and graphical transformations of data that underlie the determination of receptor parameters. The main theory assumes that agonist and antagonist compounds bind to cells that have a fixed number of receptors and provides the f

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8

Dawn Parente, Jacquelyn, Knut Möller, Sabine Hensler, et al. "Technical Support of Wound Healing Processes: Project Status." Current Directions in Biomedical Engineering 5, no. 1 (2019): 521–23. http://dx.doi.org/10.1515/cdbme-2019-0131.

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AbstractThe optimized wound healing (OWID) project provides technical support of wound healing processes. Advanced biophysical treatment therapies using light (photobiomodulation), negative pressure wound therapy (NPWT), and electrical stimulation show biological effects. Specifically, a biphasic dose-response curve is observed where lower doses activate cells, while above a threshold, higher doses are inhibitory. However, no standard protocols and no multi-modal treatment studies determine specific therapy needs. The OWID project aims to develop a multi-modal treatment device and modelbased t

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Sánchez-Jiménez, F., R. Montañez, F. Correa-Fiz, et al. "The usefulness of post-genomics tools for characterization of the amine cross-talk in mammalian cells." Biochemical Society Transactions 35, no. 2 (2007): 381–85. http://dx.doi.org/10.1042/bst0350381.

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Evidence is growing in favour of a relationship between cancer and chronic inflammation, and particularly of the role of a polyamine and histamine metabolic interplay involved in these physiopathological problems, which are indeed highly complex biological systems. Decodification of the complex inter- and intra-cellular signalling mechanisms that control these effects is not an easy task, which must be helped by systems biology technologies, including new tools for location and integration of database-stored information and predictive mathematical models, as well as functional genomics and oth

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10

Almeida, S., M. Chaves, and F. Delaunay. "Control of synchronization ratios in clock/cell cycle coupling by growth factors and glucocorticoids." Royal Society Open Science 7, no. 2 (2020): 192054. http://dx.doi.org/10.1098/rsos.192054.

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The cell cycle and the circadian clock are essential cyclic cellular processes often synchronous in healthy cells. In this work, we use previously developed mathematical models of the mammalian cell cycle and circadian cellular clock in order to investigate their dynamical interactions. Firstly, we study unidirectional cell cycle → clock coupling by proposing a mechanism of mitosis promoting factor (MPF)-controlled REV-ERB α degradation. Secondly, we analyse a bidirectional coupling configuration, where we add the CLOCK : BMAL1-mediated MPF repression via the WEE1 kinase to the first system. O

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11

Afschrift, Maarten, Friedl De Groote, and Ilse Jonkers. "Similar sensorimotor transformations control balance during standing and walking." PLOS Computational Biology 17, no. 6 (2021): e1008369. http://dx.doi.org/10.1371/journal.pcbi.1008369.

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Standing and walking balance control in humans relies on the transformation of sensory information to motor commands that drive muscles. Here, we evaluated whether sensorimotor transformations underlying walking balance control can be described by task-level center of mass kinematics feedback similar to standing balance control. We found that delayed linear feedback of center of mass position and velocity, but not delayed linear feedback from ankle angles and angular velocities, can explain reactive ankle muscle activity and joint moments in response to perturbations of walking across protocol

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Dias Louro, Marco António, Mónica Bettencourt-Dias, and Jorge Carneiro. "A first-takes-all model of centriole copy number control based on cartwheel elongation." PLOS Computational Biology 17, no. 5 (2021): e1008359. http://dx.doi.org/10.1371/journal.pcbi.1008359.

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How cells control the numbers of its subcellular components is a fundamental question in biology. Given that biosynthetic processes are fundamentally stochastic it is utterly puzzling that some structures display no copy number variation within a cell population. Centriole biogenesis, with each centriole being duplicated once and only once per cell cycle, stands out due to its remarkable fidelity. This is a highly controlled process, which depends on low-abundance rate-limiting factors. How can exactly one centriole copy be produced given the variation in the concentration of these key factors

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Stopard, Isaac J., Thomas S. Churcher, and Ben Lambert. "Estimating the extrinsic incubation period of malaria using a mechanistic model of sporogony." PLOS Computational Biology 17, no. 2 (2021): e1008658. http://dx.doi.org/10.1371/journal.pcbi.1008658.

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During sporogony, malaria-causing parasites infect a mosquito, reproduce and migrate to the mosquito salivary glands where they can be transmitted the next time blood feeding occurs. The time required for sporogony, known as the extrinsic incubation period (EIP), is an important determinant of malaria transmission intensity. The EIP is typically estimated as the time for a given percentile, x, of infected mosquitoes to develop salivary gland sporozoites (the infectious parasite life stage), which is denoted by EIPx. Many mechanisms, however, affect the observed sporozoite prevalence including

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Rombouts, Jan, and Lendert Gelens. "Dynamic bistable switches enhance robustness and accuracy of cell cycle transitions." PLOS Computational Biology 17, no. 1 (2021): e1008231. http://dx.doi.org/10.1371/journal.pcbi.1008231.

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Bistability is a common mechanism to ensure robust and irreversible cell cycle transitions. Whenever biological parameters or external conditions change such that a threshold is crossed, the system abruptly switches between different cell cycle states. Experimental studies have uncovered mechanisms that can make the shape of the bistable response curve change dynamically in time. Here, we show how such a dynamically changing bistable switch can provide a cell with better control over the timing of cell cycle transitions. Moreover, cell cycle oscillations built on bistable switches are more rob

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15

Pedersen, Morten Gram, Alessia Tagliavini, and Jean-Claude Henquin. "Calcium signaling and secretory granule pool dynamics underlie biphasic insulin secretion and its amplification by glucose: experiments and modeling." American Journal of Physiology-Endocrinology and Metabolism 316, no. 3 (2019): E475—E486. http://dx.doi.org/10.1152/ajpendo.00380.2018.

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Glucose-stimulated insulin secretion from pancreatic β-cells is controlled by a triggering pathway that culminates in calcium influx and regulated exocytosis of secretory granules, and by a less understood amplifying pathway that augments calcium-induced exocytosis. In response to an abrupt increase in glucose concentration, insulin secretion exhibits a first peak followed by a lower sustained second phase. This biphasic secretion pattern is disturbed in diabetes. It has been attributed to depletion and subsequent refilling of a readily releasable pool of granules or to the phasic cytosolic ca

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Nagamori, Akira, Christopher M. Laine, Gerald E. Loeb, and Francisco J. Valero-Cuevas. "Force variability is mostly not motor noise: Theoretical implications for motor control." PLOS Computational Biology 17, no. 3 (2021): e1008707. http://dx.doi.org/10.1371/journal.pcbi.1008707.

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Variability in muscle force is a hallmark of healthy and pathological human behavior. Predominant theories of sensorimotor control assume ‘motor noise’ leads to force variability and its ‘signal dependence’ (variability in muscle force whose amplitude increases with intensity of neural drive). Here, we demonstrate that the two proposed mechanisms for motor noise (i.e. the stochastic nature of motor unit discharge and unfused tetanic contraction) cannot account for the majority of force variability nor for its signal dependence. We do so by considering three previously underappreciated but phys

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17

Yacoubi, S. El. "A mathematical method for control problems on cellular automata models." International Journal of Systems Science 39, no. 5 (2008): 529–38. http://dx.doi.org/10.1080/00207720701847232.

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18

Nakao, M., A. Karashima, and N. Katayama. "Mathematical models of regulatory mechanisms of sleep-wake rhythms." Cellular and Molecular Life Sciences 64, no. 10 (2007): 1236–43. http://dx.doi.org/10.1007/s00018-007-6534-z.

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19

Sego, T. J., James A. Glazier, and Andres Tovar. "Unification of aggregate growth models by emergence from cellular and intracellular mechanisms." Royal Society Open Science 7, no. 8 (2020): 192148. http://dx.doi.org/10.1098/rsos.192148.

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Multicellular aggregate growth is regulated by nutrient availability and removal of metabolites, but the specifics of growth dynamics are dependent on cell type and environment. Classical models of growth are based on differential equations. While in some cases these classical models match experimental observations, they can only predict growth of a limited number of cell types and so can only be selectively applied. Currently, no classical model provides a general mathematical representation of growth for any cell type and environment. This discrepancy limits their range of applications, whic

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20

Schall, Jeffrey D., Thomas J. Palmeri, and Gordon D. Logan. "Models of inhibitory control." Philosophical Transactions of the Royal Society B: Biological Sciences 372, no. 1718 (2017): 20160193. http://dx.doi.org/10.1098/rstb.2016.0193.

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We survey models of response inhibition having different degrees of mathematical, computational and neurobiological specificity and generality. The independent race model accounts for performance of the stop-signal or countermanding task in terms of a race between GO and STOP processes with stochastic finishing times. This model affords insights into neurophysiological mechanisms that are reviewed by other authors in this volume. The formal link between the abstract GO and STOP processes and instantiating neural processes is articulated through interactive race models consisting of stochastic

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21

Rodriguez-Brenes, Ignacio A., and Dominik Wodarz. "Preventing clonal evolutionary processes in cancer: Insights from mathematical models." Proceedings of the National Academy of Sciences 112, no. 29 (2015): 8843–50. http://dx.doi.org/10.1073/pnas.1501730112.

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Clonal evolutionary processes can drive pathogenesis in human diseases, with cancer being a prominent example. To prevent or treat cancer, mechanisms that can potentially interfere with clonal evolutionary processes need to be understood better. Mathematical modeling is an important research tool that plays an ever-increasing role in cancer research. This paper discusses how mathematical models can be useful to gain insights into mechanisms that can prevent disease initiation, help analyze treatment responses, and aid in the design of treatment strategies to combat the emergence of drug-resist

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Edwards, Andrew G., and William E. Louch. "Species-Dependent Mechanisms of Cardiac Arrhythmia: A Cellular Focus." Clinical Medicine Insights: Cardiology 11 (January 1, 2017): 117954681668606. http://dx.doi.org/10.1177/1179546816686061.

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Although ventricular arrhythmia remains a leading cause of morbidity and mortality, available antiarrhythmic drugs have limited efficacy. Disappointing progress in the development of novel, clinically relevant antiarrhythmic agents may partly be attributed to discrepancies between humans and animal models used in preclinical testing. However, such differences are at present difficult to predict, requiring improved understanding of arrhythmia mechanisms across species. To this end, we presently review interspecies similarities and differences in fundamental cardiomyocyte electrophysiology and c

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23

NAUROSCHAT, J., and U. AN DER HEIDEN. "NONLINEAR MATHEMATICAL MODELS OF HORMONAL SYSTEMS." Journal of Biological Systems 03, no. 03 (1995): 719–30. http://dx.doi.org/10.1142/s0218339095000666.

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The paper considers various approaches to mathematical modelling of endocrine systems. The functional and operational complexity of hormonal activities turns out to be the result of the cooperation of three factors: global feedback structures on the level of glands, subtle feedback and regulatory mechanisms on the level of single cells and molecules (including messengers, receptors and functional proteins like G-proteins) and finally, coupling to other organs (predominantly to the brain, e.g. via hypothalamus). To date, it is practically impossible to construct a mathematical model comprising

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Takahashi, Daisuke, Yang Xiao, and Fei Hu. "A Survey of Insulin-Dependent Diabetes—Part II: Control Methods." International Journal of Telemedicine and Applications 2008 (2008): 1–14. http://dx.doi.org/10.1155/2008/739385.

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We survey blood glucose control schemes for insulin-dependent diabetes therapies and systems. These schemes largely rely on mathematical models of the insulin-glucose relations, and these models are typically derived in an empirical or fundamental way. In an empirical way, the experimental insulin inputs and resulting blood-glucose outputs are used to generate a mathematical model, which includes a couple of equations approximating a very complex system. On the other hand, the insulin-glucose relation is also explained from the well-known facts of other biological mechanisms. Since these mecha

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Sree Hari Rao, V., and P. Raja Sekhara Rao. "Mathematical models and stabilizing bio-control mechanisms for microbial populations in a cultured environment." Chaos, Solitons & Fractals 28, no. 5 (2006): 1222–51. http://dx.doi.org/10.1016/j.chaos.2005.07.015.

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26

MELNIK, RODERICK V. N., XILIN WEI, and GABRIEL MORENO–HAGELSIEB. "NONLINEAR DYNAMICS OF CELL CYCLES WITH STOCHASTIC MATHEMATICAL MODELS." Journal of Biological Systems 17, no. 03 (2009): 425–60. http://dx.doi.org/10.1142/s0218339009002879.

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Cell cycles are fundamental components of all living organisms and their systematic studies extend our knowledge about the interconnection between regulatory, metabolic, and signaling networks, and therefore open new opportunities for our ultimate efficient control of cellular processes for disease treatments, as well as for a wide variety of biomedical and biotechnological applications. In the study of cell cycles, nonlinear phenomena play a paramount role, in particular in those cases where the cellular dynamics is in the focus of attention. Quantification of this dynamics is a challenging t

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27

Bruce, David M. "Mathematical modelling of the cellular mechanics of plants." Philosophical Transactions of the Royal Society of London. Series B: Biological Sciences 358, no. 1437 (2003): 1437–44. http://dx.doi.org/10.1098/rstb.2003.1337.

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The complex mechanical behaviour of plant tissues reflects the complexity of their structure and material properties. Modelling has been widely used in studies of how cell walls, single cells and tissue respond to loading, both externally applied loading and loads on the cell wall resulting from changes in the pressure within fluid–filled cells. This paper reviews what approaches have been taken to modelling and simulation of cell wall, cell and tissue mechanics, and to what extent models have been successful in predicting mechanical behaviour. Advances in understanding of cell wall ultrastruc

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Curcio, Luciano, Laura D'Orsi, and Andrea De Gaetano. "Seven Mathematical Models of Hemorrhagic Shock." Computational and Mathematical Methods in Medicine 2021 (June 3, 2021): 1–34. http://dx.doi.org/10.1155/2021/6640638.

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Although mathematical modelling of pressure-flow dynamics in the cardiocirculatory system has a lengthy history, readily finding the appropriate model for the experimental situation at hand is often a challenge in and of itself. An ideal model would be relatively easy to use and reliable, besides being ethically acceptable. Furthermore, it would address the pathogenic features of the cardiovascular disease that one seeks to investigate. No universally valid model has been identified, even though a host of models have been developed. The object of this review is to describe several of the most

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Oyarzún, Diego A., and Madalena Chaves. "Design of a bistable switch to control cellular uptake." Journal of The Royal Society Interface 12, no. 113 (2015): 20150618. http://dx.doi.org/10.1098/rsif.2015.0618.

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Bistable switches are widely used in synthetic biology to trigger cellular functions in response to environmental signals. All bistable switches developed so far, however, control the expression of target genes without access to other layers of the cellular machinery. Here, we propose a bistable switch to control the rate at which cells take up a metabolite from the environment. An uptake switch provides a new interface to command metabolic activity from the extracellular space and has great potential as a building block in more complex circuits that coordinate pathway activity across cell cul

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Kimmel, M., and D. E. Axelrod. "Mathematical models of gene amplification with applications to cellular drug resistance and tumorigenicity." Genetics 125, no. 3 (1990): 633–44. http://dx.doi.org/10.1093/genetics/125.3.633.

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Abstract An increased number of copies of specific genes may offer an advantage to cells when they grow in restrictive conditions such as in the presence of toxic drugs, or in a tumor. Three mathematical models of gene amplification and deamplification are proposed to describe the kinetics of unstable phenotypes of cells with amplified genes. The models differ in details but all assume probabilistic mechanisms of increase and decrease in gene copy number per cell (gene amplification/deamplification). Analysis of the models indicates that a stable distribution of numbers of copies of genes per

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Asano, Daiki, Masaki Hokazono, Shogo Hirano, Akane Morita, and Tsutomu Nakahara. "Cellular Mechanisms of Angiogenesis in Neonatal Rat Models of Retinal Neurodegeneration." International Journal of Molecular Sciences 20, no. 19 (2019): 4759. http://dx.doi.org/10.3390/ijms20194759.

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Νeuronal and glial cells play an important role in the development of vasculature in the retina. In this study, we investigated whether re-vascularization occurs in retinal neurodegenerative injury models. To induce retinal injury, N-methyl-D-aspartic acid (NMDA, 200 nmol) or kainic acid (KA, 20 nmol) was injected into the vitreous chamber of the eye on postnatal day (P)7. Morphological changes in retinal neurons and vasculature were assessed on P14, P21, and P35. Prevention of vascular growth and regression of some capillaries were observed on P14 in retinas of NMDA- and KA-treated eyes. Howe

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Лихошвай, В. А., and V. A. Likhoshvai. "Phenotypic Variability of Bacterial Cell Cycle: Mathematical Model." Mathematical Biology and Bioinformatics 11, no. 1 (2016): 91–113. http://dx.doi.org/10.17537/2016.11.91.

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The results of the study of mechanisms of different cell phenotypes occurrence in a genetically homogenous population using the bacterial cell cycle model are presented. It was shown that phenotypic variability represents an internal, immanent property of bacteria. The basis of this phenomenon is universal non-linear properties of the conjugated transcription-translation system, that controls all cellular processes. Phenotypic variability occurs in a simple, deterministic, self-reproducing system under the uniform transmission of the structural components to the daughter cells during division

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Vanin, Viktor, Mykola Kruhol, and Oleksandr Lasurenko. "MATHEMATICAL MODELLING OF ONE-GROUP GAS-HYDRAULIC CIRCUIT OF THERMAL POWER PLANT STEAM BOILER AUXILIARIES." Bulletin of the National Technical University "KhPI". Series: Mathematical modeling in engineering and technologies, no. 1 (March 5, 2021): 3–14. http://dx.doi.org/10.20998/2222-0631.2020.01.01.

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The paper presents algebraic mathematical models of centrifugal mechanisms that operate in the power boiler gas-hydraulic circuit. The models have been built by means of head-flow curve approximation. The head-flow curve depends on the centrifugal mechanism blade rotating speed and guide vane angle. The least squares method has been applied for centrifugal mechanism head-curve approximation on the basis of experimental or numerical data. Different configurations for the connections of centrifugal mechanisms in the power boiler gas-hydraulic circuit have been considered, relationships for their

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Goryachev, Andrew B., and Marcin Leda. "Many roads to symmetry breaking: molecular mechanisms and theoretical models of yeast cell polarity." Molecular Biology of the Cell 28, no. 3 (2017): 370–80. http://dx.doi.org/10.1091/mbc.e16-10-0739.

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Mathematical modeling has been instrumental in identifying common principles of cell polarity across diverse systems. These principles include positive feedback loops that are required to destabilize a spatially uniform state of the cell. The conserved small G-protein Cdc42 is a master regulator of eukaryotic cellular polarization. Here we discuss recent developments in studies of Cdc42 polarization in budding and fission yeasts and demonstrate that models describing symmetry-breaking polarization can be classified into six minimal classes based on the structure of positive feedback loops that

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Bayly, P. V., and K. S. Wilson. "Analysis of unstable modes distinguishes mathematical models of flagellar motion." Journal of The Royal Society Interface 12, no. 106 (2015): 20150124. http://dx.doi.org/10.1098/rsif.2015.0124.

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The mechanisms underlying the coordinated beating of cilia and flagella remain incompletely understood despite the fundamental importance of these organelles. The axoneme (the cytoskeletal structure of cilia and flagella) consists of microtubule doublets connected by passive and active elements. The motor protein dynein is known to drive active bending, but dynein activity must be regulated to generate oscillatory, propulsive waveforms. Mathematical models of flagellar motion generate quantitative predictions that can be analysed to test hypotheses concerning dynein regulation. One approach ha

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Vukobratović, M. K., V. F. Filaretov, and A. I. Korzun. "A unified approach to mathematical modelling of robotic manipulator dynamics." Robotica 12, no. 5 (1994): 411–20. http://dx.doi.org/10.1017/s0263574700017963.

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SUMMARYA new method for computer forming of dynamic equations of open-chain mechanical robot configurations is presented. The algorithm used is of a numeric-iterative type, based on mathematical apparatus of screw theory, which has enabled elimination of the unnecessary computations in the process of dynamic model derivation. In addition to conventional kinematic schemes of robotic manipulators, the branched kinematic chains which have recently found their application in the locomotion of robotic mechanisms were also treated. Both the inverse and direct problems of dynamics were addressed. A c

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Cicuttin, A., L. De Micco, M. L. Crespo, M. Antonelli, L. Garcia, and W. Florian. "Physical implementation of asynchronous cellular automata networks: mathematical models and preliminary experimental results." Nonlinear Dynamics 105, no. 3 (2021): 2431–52. http://dx.doi.org/10.1007/s11071-021-06754-z.

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de Jong, Hidde, Stefano Casagranda, Nils Giordano, et al. "Mathematical modelling of microbes: metabolism, gene expression and growth." Journal of The Royal Society Interface 14, no. 136 (2017): 20170502. http://dx.doi.org/10.1098/rsif.2017.0502.

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The growth of microorganisms involves the conversion of nutrients in the environment into biomass, mostly proteins and other macromolecules. This conversion is accomplished by networks of biochemical reactions cutting across cellular functions, such as metabolism, gene expression, transport and signalling. Mathematical modelling is a powerful tool for gaining an understanding of the functioning of this large and complex system and the role played by individual constituents and mechanisms. This requires models of microbial growth that provide an integrated view of the reaction networks and brid

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Racković, Miloš, Miomir Vukobratović, and Dusan Surla. "Generation of dynamic models of complex robotic mechanisms in symbolic form." Robotica 16, no. 1 (1998): 23–36. http://dx.doi.org/10.1017/s0263574798000125.

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A system to control a database is used for modelling of robotic mechanisms. This brings up the modelling process of robotic mechanisms to a higher level of abstraction and reduces the problem of numerical complexity reduction of the robotic mechanism model to database updating. Structural System Analysis was used to describe the functionality of the system for modelling of robotic mechanisms. The database model is presented by Extended Model Object-Connections, and all the object types for representation of mathematical expressions in the form of calculating graph are described in detail. The

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SCIALDONE, ANTONIO, and MARIO NICODEMI. "STATISTICAL MECHANICS MODELS FOR X-CHROMOSOME INACTIVATION." Advances in Complex Systems 13, no. 03 (2010): 367–76. http://dx.doi.org/10.1142/s0219525910002566.

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We present statistical mechanics models to understand the physical and molecular mechanisms of X-Chromosome Inactivation (XCI), the process whereby a female mammal cell inactivates one of its two X-chromosomes. During XCI, X-chromosomes undergo a series of complex regulatory processes. At the beginning of XCI, the X's recognize and pair, then only one X which is randomly chosen is inactivated. Afterwards, the two X's move to different positions in the cell nucleus according to their different status (active/silenced). Our models illustrate about the still mysterious physical bases underlying a

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Yahaya, B. "Understanding Cellular Mechanisms Underlying Airway Epithelial Repair: Selecting the Most Appropriate Animal Models." Scientific World Journal 2012 (2012): 1–12. http://dx.doi.org/10.1100/2012/961684.

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Understanding the mechanisms underlying the process of regeneration and repair of airway epithelial structures demands close characterization of the associated cellular and molecular events. The choice of an animal model system to study these processes and the role of lung stem cells is debatable since ideally the chosen animal model should offer a valid comparison with the human lung. Species differences may include the complex three-dimensional lung structures, cellular composition of the lung airway as well as transcriptional control of the molecular events in response to airway epithelium

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Haurie, Caroline, David C. Dale, and Michael C. Mackey. "Cyclical Neutropenia and Other Periodic Hematological Disorders: A Review of Mechanisms and Mathematical Models." Blood 92, no. 8 (1998): 2629–40. http://dx.doi.org/10.1182/blood.v92.8.2629.

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Abstract Although all blood cells are derived from hematopoietic stem cells, the regulation of this production system is only partially understood. Negative feedback control mediated by erythropoietin and thrombopoietin regulates erythrocyte and platelet production, respectively, but the regulation of leukocyte levels is less well understood. The local regulatory mechanisms within the hematopoietic stem cells are also not well characterized at this point. Because of their dynamic character, cyclical neutropenia and other periodic hematological disorders offer a rare opportunity to more fully u

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43

Haurie, Caroline, David C. Dale, and Michael C. Mackey. "Cyclical Neutropenia and Other Periodic Hematological Disorders: A Review of Mechanisms and Mathematical Models." Blood 92, no. 8 (1998): 2629–40. http://dx.doi.org/10.1182/blood.v92.8.2629.420a35_2629_2640.

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Although all blood cells are derived from hematopoietic stem cells, the regulation of this production system is only partially understood. Negative feedback control mediated by erythropoietin and thrombopoietin regulates erythrocyte and platelet production, respectively, but the regulation of leukocyte levels is less well understood. The local regulatory mechanisms within the hematopoietic stem cells are also not well characterized at this point. Because of their dynamic character, cyclical neutropenia and other periodic hematological disorders offer a rare opportunity to more fully understand

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Lin, Yen Ting, Eugene T. Y. Chang, Julie Eatock, Tobias Galla, and Richard H. Clayton. "Mechanisms of stochastic onset and termination of atrial fibrillation studied with a cellular automaton model." Journal of The Royal Society Interface 14, no. 128 (2017): 20160968. http://dx.doi.org/10.1098/rsif.2016.0968.

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Mathematical models of cardiac electrical excitation are increasingly complex, with multiscale models seeking to represent and bridge physiological behaviours across temporal and spatial scales. The increasing complexity of these models makes it computationally expensive to both evaluate long term (more than 60 s) behaviour and determine sensitivity of model outputs to inputs. This is particularly relevant in models of atrial fibrillation (AF), where individual episodes last from seconds to days, and interepisode waiting times can be minutes to months. Potential mechanisms of transition betwee

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Xu, Xiang Rong, Qi Wang, Hao Xu, and Liang Liang Li. "Development of Mathematical Modeling and Dynamics for Biofilms." Advanced Materials Research 749 (August 2013): 93–98. http://dx.doi.org/10.4028/www.scientific.net/amr.749.93.

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Biofilm formation, structure and dynamics properties play an important role in the effective performance of biofilm wastewater treatment reactors. Biofilm models are commonly used as simulation tools in engineering applications and as research tools to study biofilm formation and dynamics. This paper briefly outlines the present and past status of research on biofilm modeling, dynamics and experimental results. Biofilms constitute a spectrum of dynamical microorganisms, whose interaction with the surrounding environment and thereby induced dynamics dominates the complex properties of the livin

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Li, Zixiang, Mukund Nilakantan Janardhanan, Peter Nielsen, and Qiuhua Tang. "Mathematical models and simulated annealing algorithms for the robotic assembly line balancing problem." Assembly Automation 38, no. 4 (2018): 420–36. http://dx.doi.org/10.1108/aa-09-2017-115.

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Purpose Robots are used in assembly lines because of their higher flexibility and lower costs. The purpose of this paper is to develop mathematical models and simulated annealing algorithms to solve the robotic assembly line balancing (RALB-II) to minimize the cycle time. Design/methodology/approach Four mixed-integer linear programming models are developed and encoded in CPLEX solver to find optimal solutions for small-sized problem instances. Two simulated annealing algorithms, original simulated annealing algorithm and restarted simulated annealing (RSA) algorithm, are proposed to tackle la

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Siddall, Robert, Victor Ibanez, Greg Byrnes, Robert J. Full, and Ardian Jusufi. "Mechanisms for Mid-Air Reorientation Using Tail Rotation in Gliding Geckos." Integrative and Comparative Biology 61, no. 2 (2021): 478–90. http://dx.doi.org/10.1093/icb/icab132.

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Abstract Arboreal animals face numerous challenges when negotiating complex three-dimensional terrain. Directed aerial descent or gliding flight allows for rapid traversal of arboreal environments, but presents control challenges. Some animals, such as birds or gliding squirrels, have specialized structures to modulate aerodynamic forces while airborne. However, many arboreal animals do not possess these specializations but still control posture and orientation in mid-air. One of the largest inertial segments in lizards is their tail. Inertial reorientation can be used to attain postures appro

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JIANG, YU, and WEIQUN WANG. "POTENTIAL MECHANISMS OF CANCER PREVENTION BY WEIGHT CONTROL." Biophysical Reviews and Letters 03, no. 03 (2008): 421–37. http://dx.doi.org/10.1142/s1793048008000824.

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Weight control via dietary caloric restriction and/or physical activity has been demonstrated in animal models for cancer prevention. However, the underlying mechanisms are not fully understood. Body weight loss due to negative energy balance significantly reduces some metabolic growth factors and endocrinal hormones such as IGF-1, leptin, and adiponectin, but enhances glucocorticoids, that may be associated with anti-cancer mechanisms. In this review, we summarized the recent studies related to weight control and growth factors. The potential molecular targets focused on those growth factors-

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Albanese, Antonio, Limei Cheng, Mauro Ursino, and Nicolas W. Chbat. "An integrated mathematical model of the human cardiopulmonary system: model development." American Journal of Physiology-Heart and Circulatory Physiology 310, no. 7 (2016): H899—H921. http://dx.doi.org/10.1152/ajpheart.00230.2014.

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Several cardiovascular and pulmonary models have been proposed in the last few decades. However, very few have addressed the interactions between these two systems. Our group has developed an integrated cardiopulmonary model (CP Model) that mathematically describes the interactions between the cardiovascular and respiratory systems, along with their main short-term control mechanisms. The model has been compared with human and animal data taken from published literature. Due to the volume of the work, the paper is divided in two parts. The present paper is on model development and normophysiol

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Namani, Ravi, Yoram Lanir, Lik Chuan Lee, and Ghassan S. Kassab. "Overview of mathematical modeling of myocardial blood flow regulation." American Journal of Physiology-Heart and Circulatory Physiology 318, no. 4 (2020): H966—H975. http://dx.doi.org/10.1152/ajpheart.00563.2019.

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The oxygen consumption by the heart and its extraction from the coronary arterial blood are the highest among all organs. Any increase in oxygen demand due to a change in heart metabolic activity requires an increase in coronary blood flow. This functional requirement of adjustment of coronary blood flow is mediated by coronary flow regulation to meet the oxygen demand without any discomfort, even under strenuous exercise conditions. The goal of this article is to provide an overview of the theoretical and computational models of coronary flow regulation and to reveal insights into the functio

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