Academic literature on the topic 'Sensitive dependence on initial conditions'

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Journal articles on the topic "Sensitive dependence on initial conditions"

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Glasner, E., and B. Weiss. "Sensitive dependence on initial conditions." Nonlinearity 6, no. 6 (1993): 1067–75. http://dx.doi.org/10.1088/0951-7715/6/6/014.

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Li, Risong, and Yuming Shi. "Several sufficient conditions for sensitive dependence on initial conditions." Nonlinear Analysis: Theory, Methods & Applications 72, no. 5 (2010): 2716–20. http://dx.doi.org/10.1016/j.na.2009.11.018.

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Urı́as, Jesús, Raúl Rechtman, and Agustı́n Enciso. "Sensitive dependence on initial conditions for cellular automata." Chaos: An Interdisciplinary Journal of Nonlinear Science 7, no. 4 (1997): 688–93. http://dx.doi.org/10.1063/1.166266.

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Machina, A., R. Edwards, and P. van den Driessche. "Sensitive dependence on initial conditions in gene networks." Chaos: An Interdisciplinary Journal of Nonlinear Science 23, no. 2 (2013): 025101. http://dx.doi.org/10.1063/1.4807480.

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BROWN, RAY, LEON CHUA, and BECKY POPP. "IS SENSITIVE DEPENDENCE ON INITIAL CONDITIONS NATURE’S SENSORY DEVICE?" International Journal of Bifurcation and Chaos 02, no. 01 (1992): 193–99. http://dx.doi.org/10.1142/s0218127492000185.

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In this letter we illustrate three methods of using nonlinear devices as sensors. We show that the sensory features of these devices is a result of sensitive dependence on parameters which we show is equivalent to sensitive dependence on initial conditions. As a result, we conjecture that sensitive dependence on initial conditions is nature’s sensory device in cases where remarkable feats of sensory perception are seen.
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Polo, Fabrizio. "Sensitive dependence on initial conditions and chaotic group actions." Proceedings of the American Mathematical Society 138, no. 08 (2010): 2815. http://dx.doi.org/10.1090/s0002-9939-10-10286-x.

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Pokorney, Kristin Marie, Daniel R. Lexcen, Elizabeth ER Lusczek, et al. "Sensitive dependence on initial conditions: metabolism in porcine hemorrhagic shock." Journal of the American College of Surgeons 217, no. 3 (2013): S55—S56. http://dx.doi.org/10.1016/j.jamcollsurg.2013.07.115.

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Lupo, Anthony, Y. Li, Z. Feng, Neil Fox, Jordan Rabinowitz, and Micheal Simpson. "Sensitive versus Rough Dependence under Initial Conditions in Atmospheric Flow Regimes." Atmosphere 7, no. 12 (2016): 157. http://dx.doi.org/10.3390/atmos7120157.

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Christiansen, Freddy, and Peter Grassberger. "Escape and sensitive dependence on initial conditions in a symplectic repeller." Physics Letters A 181, no. 1 (1993): 47–53. http://dx.doi.org/10.1016/0375-9601(93)91123-m.

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FAISST, HOLGER, and BRUNO ECKHARDT. "Sensitive dependence on initial conditions in transition to turbulence in pipe flow." Journal of Fluid Mechanics 504 (April 10, 2004): 343–52. http://dx.doi.org/10.1017/s0022112004008134.

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Dissertations / Theses on the topic "Sensitive dependence on initial conditions"

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Baker, Suzan B. "Chaos Theory in Educational Systems: Principals' Perceptions of Sensitive Dependence on Initial Conditions." Digital Commons @ East Tennessee State University, 1995. https://dc.etsu.edu/etd/2633.

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This study investigated the characteristic of chaos theory called sensitive dependence on initial conditions or butterfly effect in schools and school systems. The purpose of the study was to develop insight into school systems by determining if categories or factors of behaviors or decisions have been observed in school systems which are sensitive to initial conditions and are therefore likely to produce exponential effects. A modified critical incident technique was used to collect data from experienced principals in three moderate sized regions in Tennessee, North Carolina,
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Polo, Fabrizio. "Equidistribution on Chaotic Dynamical Systems." The Ohio State University, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=osu1306527005.

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Knoche, Claudia. "Mild solutions of SPDE's driven by Poisson noise in infinite dimensions and their dependence on initial conditions." [S.l. : s.n.], 2005. http://deposit.ddb.de/cgi-bin/dokserv?idn=976105497.

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Knoche, Claudia [Verfasser]. "Mild solutions of SPDE's driven by Poisson noise in infinite dimensions and their dependence on initial conditions / vorgelegt von Claudia Knoche." 2005. http://d-nb.info/976105497/34.

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Books on the topic "Sensitive dependence on initial conditions"

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Robinson, Kim Stanley. The Lucky strike: Plus A sensitive dependence on initial conditions and "A real joy to be had" : outspoken interview. PM Press, 2009.

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Drake, John M., Michael Bonsall, and Michael Strand, eds. Population Biology of Vector-Borne Diseases. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198853244.001.0001.

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Population Biology of Vector-Borne Diseases is the first comprehensive survey of this rapidly developing field. The chapter topics provide an up-to-date presentation of classical concepts, reviews of emerging trends, synthesis of existing knowledge, and a prospective agenda for future research. The contributions offer authoritative and international perspectives from leading thinkers in the field. The dynamics of vector-borne diseases are far more intrinsically ecological compared with their directly transmitted equivalents. The environmental dependence of ectotherm vectors means that vector-b
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Youssef, Samuel J., and John A. Elefteriades. Pathophysiology, diagnosis, and management of aortic dissection. Oxford University Press, 2016. http://dx.doi.org/10.1093/med/9780199600830.003.0148.

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Aortic dissection represents a splitting apart of the layers of the aortic wall, with blood under pressure entering the dissection plane and propagating for long distances along the aorta. The pain is said to be the most severe that a human being can experience. Pain is felt substernally with ascending dissection and between the shoulder blades for descending dissection. A high degree of clinical suspicion is essential in order for the diagnosis not to be missed. Because the dissection process can impair any branch of the aorta, the patient may present with symptoms related to any organ in the
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Cook, Kerry H. Climate Change Scenarios and African Climate Change. Oxford University Press, 2018. http://dx.doi.org/10.1093/acrefore/9780190228620.013.545.

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Accurate projections of climate change under increasing atmospheric greenhouse gas levels are needed to evaluate the environmental cost of anthropogenic emissions, and to guide mitigation efforts. These projections are nowhere more important than Africa, with its high dependence on rain-fed agriculture and, in many regions, limited resources for adaptation. Climate models provide our best method for climate prediction but there are uncertainties in projections, especially on regional space scale. In Africa, limitations of observational networks add to this uncertainty since a crucial step in i
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Sobczyk, Eugeniusz Jacek. Uciążliwość eksploatacji złóż węgla kamiennego wynikająca z warunków geologicznych i górniczych. Instytut Gospodarki Surowcami Mineralnymi i Energią PAN, 2022. http://dx.doi.org/10.33223/onermin/0222.

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Hard coal mining is characterised by features that pose numerous challenges to its current operations and cause strategic and operational problems in planning its development. The most important of these include the high capital intensity of mining investment projects and the dynamically changing environment in which the sector operates, while the long-term role of the sector is dependent on factors originating at both national and international level. At the same time, the conditions for coal mining are deteriorating, the resources more readily available in active mines are being exhausted, m
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Zydroń, Tymoteusz. Wpływ systemów korzeniowych wybranych gatunków drzew na przyrost wytrzymałości gruntu na ścinanie. Publishing House of the University of Agriculture in Krakow, 2019. http://dx.doi.org/10.15576/978-83-66602-46-5.

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The aim of the paper was to determine the influence of root systems of chosen tree species found in the Polish Flysch Carpathians on the increase of soil shear strength (root cohesion) in terms of slope stability. The paper's goal was achieved through comprehensive tests on root systems of eight relatively common in the Polish Flysch Carpathians tree species. The tests that were carried out included field work, laboratory work and analytical calculations. As part of the field work, the root area ratio (A IA) of the roots was determined using the method of profiling the walls of the trench at a
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Book chapters on the topic "Sensitive dependence on initial conditions"

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Collet, Pierre, and Jean-Pierre Eckmann. "Sensitive Dependence on Initial Conditions." In Iterated Maps on the Interval as Dynamical Systems. Birkhäuser Boston, 2009. http://dx.doi.org/10.1007/978-0-8176-4927-2_14.

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Hollar, David W. "Chaos Theory and Sensitive Dependence on Initial Conditions." In Trajectory Analysis in Health Care. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-59626-6_9.

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Araújo, Vítor. "On Sensitive Dependence on Initial Conditions and Existence of Physical Measure for 3-Flows." In Springer Proceedings in Mathematics & Statistics. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-04849-9_6.

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Sideris, Thomas C. "Dependence on Initial Conditions and Parameters." In Atlantis Studies in Differential Equations. Atlantis Press, 2013. http://dx.doi.org/10.2991/978-94-6239-021-8_6.

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Kapitaniak, T. "Controlling Dependence on Initial Conditions in Chaotic Systems." In NATO ASI Series. Springer US, 1993. http://dx.doi.org/10.1007/978-1-4899-1609-9_26.

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Dolfsma, Wilfred. "Path Dependence, Initial Conditions and Routines in Organizations: the Toyota Production System Re-examined." In Institutions, Communication and Values. Palgrave Macmillan UK, 2009. http://dx.doi.org/10.1057/9780230250666_8.

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Popov, Valentin L. "Adhesion Hysteresis Due to Chemical Heterogeneity." In Springer Tracts in Mechanical Engineering. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-60124-9_20.

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AbstractAccording the JKR theory of adhesivecontact, changes of the contact configuration after formation of the adhesive neck and before detaching are completely reversible. This means, that after formation of the initial contact, the force-distance dependencies should coincide, independently of the direction of the process (indentation or pull-off). In the majority of real systems, this invariance is not observed. The reasons for this may be either plastic deformation in the contacting bodies or surface roughness. One further mechanism of irreversibility (and corresponding energy dissipation) may be chemical heterogeneity of the contact interface leading to the spatial dependence of the specific work of adhesion. In the present paper, this “chemical” mechanism is analyzed on a simple example of an axisymmetric contact (with axisymmetric heterogeneity). It is shown that in the asymptotic case of a “microscopic heterogeneity”, the system follows, during both indentation and pull-off, JKR curves, however, corresponding to different specific surface energies. After the turning point of the movement, the contact area first does not change and the transition from one JKR curve to the other occurs via a linear dependency of the force on indentation depth. The macroscopic behavior is not sensitive to the absolute and relative widths of the regions with different surface energy but depends mainly on the values of the specific surface energy.
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"Sensitive dependence on initial conditions." In Chaos Theory Tamed. CRC Press, 1997. http://dx.doi.org/10.1201/9781482295412-24.

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"Sensitive Dependence on Initial Condition." In Chance and Chaos. Princeton University Press, 2020. http://dx.doi.org/10.2307/j.ctv10crf7w.11.

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"CHAPTER 7. Sensitive Dependence on Initial Condition." In Chance and Chaos. Princeton University Press, 1991. http://dx.doi.org/10.1515/9780691213958-009.

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Conference papers on the topic "Sensitive dependence on initial conditions"

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Li, Yanguang. "Sensitive versus Rough Dependence in Initial Conditions in Atmospheric Flow Regimes." In The 1st International Electronic Conference on Atmospheric Sciences. MDPI, 2016. http://dx.doi.org/10.3390/ecas2016-c002.

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Korol, Ana M., Juana R. Valverde, and Rodolfo J. Rasia. "Applications of temporal chaos: sensitive dependence on initial conditions and K 2 -entropy on erythrocytes viscoelastic properties." In BiOS 2000 The International Symposium on Biomedical Optics, edited by Valery V. Tuchin, Joseph A. Izatt, and James G. Fujimoto. SPIE, 2000. http://dx.doi.org/10.1117/12.384164.

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Gabriel, Stefan M., Andrew P. Dooris, Paul J. Ares, S. Daniel Kwak, and Hassan A. Serhan. "Initial Wear Characterization of a Spinal Artificial Disc." In World Tribology Congress III. ASMEDC, 2005. http://dx.doi.org/10.1115/wtc2005-64099.

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Local reactions to wear debris generated by hip and knee replacement devices have been shown to lead to failure of some devices via osteolysis and component loosening. This has not been shown to be a clinical issue with the most widely used spinal artificial disc prostheses, but the because of the proximity of these devices to sensitive neural structures in vivo, the issue deserves examination. The purpose of the present study was to investigate the wear characteristics of a lumbar artificial disc under simulated motion and loading conditions. In vitro testing using a modern joint simulator wi
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Jovanovic, Vojin T., and Kazem Kazerounian. "Using Chaos to Obtain Global Solutions in Computational Kinematics." In ASME 1996 Design Engineering Technical Conferences and Computers in Engineering Conference. American Society of Mechanical Engineers, 1996. http://dx.doi.org/10.1115/96-detc/mech-1193.

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Abstract In this paper we examine the sensitive dependence on the initial conditions of the Newton-Raphson search technique. It is demonstrated that this sensitivity has a fractal nature which can be effectively utilized to find all solutions to a nonlinear equation. The developed technique uses an important feature of fractals to preserve shape of basins of attraction on infinitely small scales.
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Sümer, Kutluk Kağan. "Do Financial Markets Exhibit Chaotic Behavior? Evidence from BIST." In International Conference on Eurasian Economies. Eurasian Economists Association, 2016. http://dx.doi.org/10.36880/c07.01675.

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Knowing of the chaos theory by the economists has caused the understanding of the difficulties of the balance in economy. The applications of the chaos theory related to economy have aimed to overcome these difficulties. Chaotic deterministic models with sensitive dependence on initial conditions provide a powerful tool in understanding the apparently random movements in financial data. The dynamic systems are analyzed by using linear and/or nonlinear methods in the previous studies. Although the linear methods used for stable linear systems, generally fails at the nonlinear analysis, however,
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Svensson, Erik D. "Computational Characterization of Passive Fluid Mixing in Microfluidics." In ASME 7th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2004. http://dx.doi.org/10.1115/esda2004-58422.

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In this work we computationally characterize fluid mixing in a number of passive microfluidic mixers. Generally, in order to systematically study and characterize mixing in realistic fluid systems we (1) compute the fluid flow in the systems by solving the stationary three-dimensional Navier-Stokes equations or Stokes equations with a finite element method, and (2) compute various measures indicating the degree of mixing based on concepts from dynamical systems theory, i.e., the sensitive dependence on initial conditions and mixing variance.
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Uleysky, M. Yu, and S. V. Prants. "Quantum Chaos and Quantum Fractals With Atoms and Photons in a Microcavity." In ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/detc2005-84090.

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Nonlinear dynamics in the fundamental interaction between a two-level atom with recoil and a quantized radiation field in a high-quality microcavity is studied. We consider the strongly coupled atom-field system as a quantum-classical hybrid with dynamically coupled quantum and classical egrees of freedom. We show that, even in the absence of any other interaction with environment, the coupling of quantum and classical degrees of freedom provides the emergence of classical dynamical chaos from quantum electrodynamics. It manifest itself in the atomic external degree of freedom as a random walk
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Hristov, G., R. Hristova, S. Dimova, et al. "OPENMP COMPUTING OF A REFERENCE SOLUTION FOR COUPLED LORENZ SYSTEM ON [0,400]." In 9th International Conference "Distributed Computing and Grid Technologies in Science and Education". Crossref, 2021. http://dx.doi.org/10.54546/mlit.2021.93.21.001.

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Obtaining a long term reference trajectory on the chaotic attractor for the coupled Lorenz system is adifficult task, due to the sensitive dependence on the initial conditions. Using the standard doubleprecision floating point arithmetic, we cannot obtain a reference solution longer than 2.5 time units.Combining OpenMP parallel technology together with GMP library (GNU multiple precision library),we parallelize the Taylor series algorithm for the coupled Lorenz system and obtain a referencesolution in the rather long time interval - [0,400]. We performed two large computations, each usingone C
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Vakakis, Alexander. "Nonlinear Periodic Systems: Bands and Localization." In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-87315.

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We consider the dynamics of nonlinear mono-coupled periodic media. When coupling dominates over nonlinearity near-field standing waves and spatially extended traveling waves exist, inside stop and pass bands, respectively, of the nonlinear system. Nonlinear standing waves are analytically studied using a nonlinear normal mode formulation, whereas nonlinear traveling waves are analyzed by the method of multiple scales. When the nonlinear effects are of the same order with the coupling ones a completely different picture emerges, since nonlinear resonance interactions are unavoidable. As a resul
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Fullmer, William D., Alejandro Clausse, Avinash Vaidheeswaran, and Martin A. Lopez de Bertodano. "Numerical Solution of Wavy-Stratified Fluid-Fluid Flow With the One-Dimensional Two-Fluid Model: Stability, Boundedness, Convergence and Chaos." In ASME 2014 4th Joint US-European Fluids Engineering Division Summer Meeting collocated with the ASME 2014 12th International Conference on Nanochannels, Microchannels, and Minichannels. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/fedsm2014-22121.

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In this paper the one-dimensional two-fluid model is used to dynamically simulate slightly inclined fluid-fluid flow in a rectangular channel. By that, it is specifically meant that the solutions exhibit a wavy pattern arising from the inherent instability of the model. The conditions and experimental data of Thorpe (1969) are used for comparison. The linear instability of the model is regularized, i.e., made well-posed, with surface tension and axial turbulent stress with a simple turbulent viscosity model. Nonlinear analysis in an infinite domain demonstrates for the first time one-dimension
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Reports on the topic "Sensitive dependence on initial conditions"

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Birchmore, Roger. Medium-density Dwellings in Auckland and the Building Regulations. Unitec ePress, 2018. http://dx.doi.org/10.34074/ocds.0822.

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National thermal standards have historically been set to minimise winter heating energy in detached houses. It is uncertain whether these standards are optimal for the increasing number of joined, medium-density dwellings when summer and winter conditions are considered. Using freely available software, annual heating energy use and summertime peak temperatures were calculated for a number of versions of detached and joined dwellings offering the same occupied volume and window areas. Initial results indicated that, as expected, the joined dwellings required less heating energy. The detached h
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Horwitz, Benjamin A., and Barbara Gillian Turgeon. Fungal Iron Acquisition, Oxidative Stress and Virulence in the Cochliobolus-maize Interaction. United States Department of Agriculture, 2012. http://dx.doi.org/10.32747/2012.7709885.bard.

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Our project focused on genes for high affinity iron acquisition in Cochliobolus heterostrophus, a necrotrophic pathogen of maize, and their intertwined relationship to oxidative stress status and virulence of the fungus on the host. An intriguing question was why mutants lacking the nonribosomal peptide synthetase (NRPS) gene (NPS6) responsible for synthesis of the extracellular siderophore, coprogen, are sensitive to oxidative stress. Our overall objective was to understand the mechanistic connection between iron stress and oxidative stress as related to virulence of a plant pathogen to its h
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