Non-metropolitan Growth Potential of Western Cape Municipalities

This paper provides a brief overview of the relevant post-2000 South African policy for regional (provincial) spatial development within the context of the quantitative findings of a study conducted on the growth potential of non-metropolitan settlements in the Western Cape. The findings are presented at municipal level. Five indices (social needs, economic, physical environment, infrastructure and institutional) and 69 indicators were used to determine development potential and social needs for the 24 local municipalities and three district management areas in the province. The potential indicators for each index were subjected to a factor analysis to select appropriate core indicators for inclusion in the composite indices. Based on their overall performance in the various indices, the municipalities were classified into three categories??high, medium and low. The study results prioritise areas according to their developmental potential and social needs at municipal level.     

“Sex, Sun, Soccer”: Stakeholder-Opinions on the Sex Industry in Cape Town in Anticipation of the 2010 FIFA Soccer World Cup

Sex workers, sex tourism, and their management during the 2010 FIFA Soccer World Cup is a controversial topic under much discussion in the media and there is a need for an academic debate on the issue. How city managers, tourism marketing organizations, the general public, and law enforcers will manage and deal with such an influx poses numerous practical and moral dilemmas, especially in the face of the growing tourism industry. In the paper, the opinions of various role-players in the tourism sector on the planning and management of sex work space in the City of Cape Town are investigated. Key aspects debated are decriminalization/legalization, prospects for a healthy city, spatial planning for sex spaces, and policing them.

Use of the 15?N gas flux method to measure the source and level of N2O and N2 emissions from grazed grassland

Understanding the contribution of nitrification and denitrification to production of nitrous oxide (N₂O), a potent greenhouse gas, is important in devising effective mitigation strategies to reduce emissions. In this study the ¹⁵N gas flux method was used to investigate N₂O and N₂ emissions following an application of ¹⁵N labelled ammonium nitrate (0.71?mol?N?m^?2) to intensive grassland swards (grazed at 2.74 or 2.05 livestock units ha^?1 year^?1) at a site in Southern Ireland. The ¹⁵N labelled fertiliser (NO₃ moiety ¹⁵N labelled at 60 at. %) was applied to designated soil areas in the field, enclosed by static chambers, in June 2009, September 2009 and March 2010. Fluxes of N₂O and N₂ were determined over 12?days on each occasion. N₂O and N₂ emissions were significantly (P?<?0.001) lower in March 2010 than in June or September 2009. There was little difference between the two swards grazed at different stocking rates on N₂O or N₂ emissions. Mean cumulative N₂O emissions over 103?h were 212.9, 279.5 and 62.06?mg?m^?2 for June 2009, September 2009 and March 2010, respectively. Mean cumulative N₂ emissions for the three time periods were 818.8, 893.8 and 87?mg?m^?2, respectively. The N₂O mole fraction averaged 0.21 and 0.23 in June 2009 and September 2009, respectively, but increased to 0.41 in March 2010 which may have been due to changes in denitrifier community composition or due to N₂O reductase being sensitive to low soil temperatures. The results point to denitrification of nitrate as the major source of N₂O at this site which may have implications for choice of fertiliser in moist temperate climates.     

Non-parametric deconvolution using Bézier curves for quantification of cerebral perfusion in dynamic susceptibility contrast MRI

Objective

Deconvolution is an ill-posed inverse problem that tends to yield non-physiological residue functions R(t) in dynamic susceptibility contrast magnetic resonance imaging (DSC-MRI). In this study, the use of Bézier curves is proposed for obtaining physiologically reasonable residue functions in perfusion MRI.

Materials and methods

Cubic Bézier curves were employed, ensuring R(0) = 1, bounded-input, bounded-output stability and a non-negative monotonically decreasing solution, resulting in 5 parameters to be optimized. Bézier deconvolution (BzD), implemented in a Bayesian framework, was tested by simulation under realistic conditions, including effects of arterial delay and dispersion. BzD was also applied to DSC-MRI data from a healthy volunteer.

Results

Bézier deconvolution showed robustness to different underlying residue function shapes. Accurate perfusion estimates were observed, except for boxcar residue functions at low signal-to-noise ratio. BzD involving corrections for delay, dispersion, and delay with dispersion generally returned accurate results, except for some degree of cerebral blood flow (CBF) overestimation at low levels of each effect. Maps of mean transit time and delay were markedly different between BzD and block-circulant singular value decomposition (oSVD) deconvolution.

Discussion

A novel DSC-MRI deconvolution method based on Bézier curves was implemented and evaluated. BzD produced physiologically plausible impulse response, without spurious oscillations, with generally less CBF underestimation than oSVD.

     

New, Highly Accurate Propagator for the Linear and Nonlinear Schr?dinger Equation

A propagation method for the time dependent Schr?dinger equation was studied leading to a general scheme of solving ode type equations. Standard space discretization of time-dependent pde??s usually results in system of ode??s of the form 0.1 $$u_t - G u =s$$ where G is a operator (matrix) and u is a time-dependent solution vector. Highly accurate methods, based on polynomial approximation of a modified exponential evolution operator, had been developed already for this type of problems where G is a linear, time independent matrix and s is a constant vector. In this paper we will describe a new algorithm for the more general case where s is a time-dependent r.h.s vector. An iterative version of the new algorithm can be applied to the general case where G depends on t or u. Numerical results for Schr?dinger equation with time-dependent potential and to non-linear Schr?dinger equation will be presented.     

Quantitative analysis of yeast gene function using competition experiments in continuous culture

One possible route to the evaluation of gene function is a quantitative approach based on the concepts of metabolic control analysis (MCA). An important first step in such an analysis is to determine the effect of deleting individual genes on the growth rate (or fitness) of S. cerevisiae. Since the specific growth-rate effects of most genes are likely to be small, we employed competition experiments in chemostat culture to measure the proportion of deletion mutants relative to that of a standard strain by using a quantitative PCR method. In this paper, we show that both densitometry and GeneScan^™ analysis can be used with similar accuracy and reproducibility to determine the proportions of (at least) two strains simultaneously, in the range 10–90% of the total cell population. Furthermore, we report on a model competition experiment between two diploid nuclear petite mutants, homozygous for deletions in the cox5a or pet191 genes, and the standard strain (ho::kanMX4/ho::kanMX4) in chemostat cultures under six different physiological conditions. The results indicate that competition experiments in continuous culture are a suitable method to distinguish quantitatively between deletion mutants that qualitatively exhibit the same phenotype. © 1998 John Wiley & Sons, Ltd.