Mathematical modeling and optimal control of malaria

Malaria continues to infect millions and kill hundreds of thousands of people worldwide each year, despite over a century of research and attempts to control and eliminate this infectious disease. Challenges such as the development and spread of drug resistant malaria parasites, insecticide resistance to mosquitoes, climate change, the presence of individuals with subpatent malaria infections which normally are asymptomatic and behavioral plasticity in the mosquito hinder the prospects of malaria control and elimination. In this thesis, mathematical models of malaria transmission and control that address the role of drug resistance, immunity, iron supplementation and anemia, immigration and visitation, and the presence of asymptomatic carriers in malaria transmission are developed. A within-host mathematical model of severe Plasmodium falciparum malaria is also developed. First, a deterministic mathematical model for transmission of antimalarial drug resistance parasites with superinfection is developed and analyzed. The possibility of increase in the risk of superinfection due to iron supplementation and fortification in malaria endemic areas is discussed. The model results calls upon stakeholders to weigh the pros and cons of iron supplementation to individuals living in malaria endemic regions. Second, a deterministic model of transmission of drug resistant malaria parasites, including the inflow of infective immigrants, is presented and analyzed. The optimal control theory is applied to this model to study the impact of various malaria and vector control strategies, such as screening of immigrants, treatment of drug-sensitive infections, treatment of drug-resistant infections, and the use of insecticide-treated bed nets and indoor spraying of mosquitoes. The results of the model emphasize the importance of using a combination of all four controls tools for effective malaria intervention. Next, a two-age-class mathematical model for malaria transmission with asymptomatic carriers is developed and analyzed. In development of this model, four possible control measures are analyzed: the use of long-lasting treated mosquito nets, indoor residual spraying, screening and treatment of symptomatic, and screening and treatment of asymptomatic individuals. The numerical results show that a disease-free equilibrium can be attained if all four control measures are used. A common pitfall for most epidemiological models is the absence of real data; model-based conclusions have to be drawn based on uncertain parameter values. In this thesis, an approach to study the robustness of optimal control solutions under such parameter uncertainty is presented. Numerical analysis of the optimal control problem in the presence of parameter uncertainty demonstrate the robustness of the optimal control approach that: when a comprehensive control strategy is used the main conclusions of the optimal control remain unchanged, even if inevitable variability remains in the control profiles. The results provide a promising framework for the design of cost-effective strategies for disease control with multiple interventions, even under considerable uncertainty of model parameters. Finally, a separate work modeling the within-host Plasmodium falciparum infection in humans is presented. The developed model allows re-infection of already-infected red blood cells. The model hypothesizes that in severe malaria due to parasite quest for survival and rapid multiplication, the Plasmodium falciparum can be absorbed in the already-infected red blood cells which accelerates the rupture rate and consequently cause anemia. Analysis of the model and parameter identifiability using Markov chain Monte Carlo methods is presented.

Interaction between paraventricular nucleus and septal area in the control of physiological responses induced by angiotensin II

We determined the effects of losartan (40 nmol) and PD 123319 (40 nmol) (both non-peptides and selective antagonists of the AT1 and AT2 angiotensin receptors, respectively), and [Sar¹, Ala8] angiotensin II (ANG II) (40 nmol) (a non-selective peptide antagonist of angiotensin receptors) injected into the paraventricular nucleus (PVN) on the water and salt appetite, diuresis and natriuresis and mean arterial pressure (MAP) induced by administration of 10 nmol of ANG II into the medial septal area (MSA) of male Holtzman rats weighing 250-300 g. The volume of drug solution injected was 0.5 µl over a period of 10-15 s. The responses were measured over a period of 120 min. ANG II alone injected into the MSA induced an increase in all the above parameters (8.1 ± 1.2, 1.8 ± 0.3, and 17.1 ± 1.0 ml, 217 ± 25 µEq/120 min, and 24 ± 4 mmHg, respectively, N = 10-12) compared with vehicle-treated rats (1.4 ± 0.2, 0.6 ± 0.1, and 9.3 ± 0.5 ml, 47 ± 5 µEq/120 min, and 4.1 ± 0.8 mmHg, respectively, N = 10-14). Pretreatment with losartan and [Sar¹, Ala8] ANG II completely abolished the water and sodium intake, and the pressor increase (0.5 ± 0.2, 1.1 ± 0.2, 0.5 ± 0.2, and 0.8 ± 0.2 ml, and 1.2 ± 3.9, 31 ± 4.6 mmHg, respectively, N = 9-12), whereas losartan blunted the urinary and sodium excretion induced by ANG II (13.9 ± 1.0 ml and 187 ± 10 µEq/120 min, respectively, N = 9). Pretreatment with PD 123319 and [Sar¹, Ala8] ANG II blocked the urinary and sodium excretion (10.7 ± 0.8, 9.8 ± 0.7 ml, and 67 ± 13 and 57 ± 17 µEq/120 min, respectively, N = 9), whereas pretreatment with PD 123319 partially blocked the water and sodium intake, and the MAP induced by ANG II administration (2.3 ± 0.3, 1.1 ± 0.1 ml, and 12 ± 3 mmHg, respectively, N = 9-10). These results suggest the angiotensinergic effect of the MSA on the AT1 and AT2 receptors of the PVN in terms of water and sodium homeostasis and MAP modulation.

The combination of atorvastatin and ethanol is not more hepatotoxic to rats than the administration of each drug alone

Animal studies and premarketing clinical trials have revealed hepatotoxicity of statins, primarily minor elevations in serum alanine aminotransferase levels. The combined chronic use of medicines and eventual ethanol abuse are common and may present a synergistic action regarding liver injury. Our objective was to study the effect of the chronic use of atorvastatin associated with acute ethanol administration on the liver in a rat model. One group of rats was treated daily for 5 days a week for 2 months with 0.8 mg/kg atorvastatin by gavage. At the end of the treatment the livers were perfused with 72 mM ethanol for 60 min. Control groups (at least 4 animals in each group) consisted of a group of 2-month-old male Wistar EPM-1 rats exposed to 10% ethanol (v/v) ad libitum replacing water for 2 months, followed by perfusion of the liver with 61 nM atorvastatin for 60 min, and a group of animals without chronic ethanol treatment whose livers were perfused with atorvastatin and/or ethanol. The combination of atorvastatin with ethanol did not increase the release of injury marker enzymes (alanine aminotransferase, aspartate aminotransferase, and lactic dehydrogenase) from the liver and no change in liver function markers (bromosulfophthalein clearance, and oxygen consumption) was observed. Our results suggest that the combination of atorvastatin with ethanol is not more hepatotoxic than the separate use of each substance.

Involvement of β3-adrenergic receptors in the control of food intake in rats

This study examined the food intake changes evoked by intracerebroventricular (icv) injection of a selective agonist (BRL37344, 2 and 20 nmol) or antagonist (SR59230A, 10 and 50 nmol) of β3-adrenergic receptors in 24-h fasted rats (adult male Wistar rats, 200-350 g, N = 6/treatment). The animals were also pretreated with saline icv (SAL) or SR59230A (50 nmol) followed by BRL37344 (20 nmol) or SAL in order to determine the selectivity of the effects evoked by BRL37344 on food intake or the selectivity of the effects evoked by SR59230A on risk assessment (RA) behavior. The highest dose of BRL37344 (N = 7) decreased food intake 1 h after the treatment (6.4 ± 0.5 g in SAL-treated vs 4.2 ± 0.8 g in drug-treated rats). While both doses of SR59230A failed to affect food intake (5.1 ± 1.1 g for 10 nmol and 6.0 ± 1.8 g for 50 nmol), this treatment reduced the RA frequency (number/30 min) (4 ± 2 for SAL-treated vs 1 ± 1 for 10 nmol and 0.5 ± 1 for 50 nmol SR59230A-treated rats), an ethological parameter related to anxiety. While pretreatment with SR59230A (7.0 ± 0.5 g) abolished the hypophagia induced by BRL37344 (3.6 ± 0.9 g), BRL37344 suppressed the reduction in RA frequency caused by SR59230A. These results show that the hypophagia caused by BRL37344 is selectively mediated by β3-adrenergic receptors within the central nervous system. Moreover, they suggest the involvement of these receptors in the control of anxiety.

Vancomycin-resistant enterococcus outbreak in a pediatric intensive care unit: report of successful interventions for control and prevention

The objective of this study is to retrospectively report the results of interventions for controlling a vancomycin-resistant enterococcus (VRE) outbreak in a tertiary-care pediatric intensive care unit (PICU) of a University Hospital. After identification of the outbreak, interventions were made at the following levels: patient care, microbiological surveillance, and medical and nursing staff training. Data were collected from computer-based databases and from the electronic prescription system. Vancomycin use progressively increased after March 2008, peaking in August 2009. Five cases of VRE infection were identified, with 3 deaths. After the interventions, we noted a significant reduction in vancomycin prescription and use (75% reduction), and the last case of VRE infection was identified 4 months later. The survivors remained colonized until hospital discharge. After interventions there was a transient increase in PICU length-of-stay and mortality. Since then, the use of vancomycin has remained relatively constant and strict, no other cases of VRE infection or colonization have been identified and length-of-stay and mortality returned to baseline. In conclusion, we showed that a bundle intervention aiming at a strict control of vancomycin use and full compliance with the Hospital Infection Control Practices Advisory Committee guidelines, along with contact precautions and hand-hygiene promotion, can be effective in reducing vancomycin use and the emergence and spread of vancomycin-resistant bacteria in a tertiary-care PICU.

From Fordism to neoconservatism : free trade and Canadian industrial policy in an era of globalism /

Nothing today affects the lives of people in countries throughout the industrialized and developing world as much as international trade. Nowhere is this more true than in Canada. Canada's involvement in international trade has a long history dating back to 1854 when it was a British colony. As a major trading country, Canada has always adopted a proactive industrial policy which has been largely responsible for its relative economic prosperi ty. But, wi th businesses now free to invest and divest under the terms of the CUFTA and the NAFTA, the most fundamental concerns for Canadians, in a borderless world, are what powers will the Canadian government have to shape industrial policy, and to what extent can Canada continue as a viable nationstate if it can no longer control its national economy? These are important concerns because, in world without borders, the adjustment process becomes more volatile and more difficult to manage. The CUFTA and the NAFTA not only create the rules for conducting trade, but they also establish a set of new rules for the Canadian government that will diminish its power. As a member of a new North American trading bloc, Canada will find itself subject to a set of forces requiring analysis beyond participation in a conventional free trade area. Because many of the traditional levers of government will now be subject to external control imposed by these agreements, Canada will not be able to mount certain policies in the future that it has relied on in the past. This reality limits the pro-active role of the Canadian state to use policies and programmes for the country's immediate national development. What this thesis attempts is an examination of the evolution of Canadian industrial policy, in effect, the transi tion from Fordism to Neoconservatism, and an assessment of Canada's future as a nation-state as it tries to find security and improved access in a free trade arrangement. Unless Canada takes steps to neutralize the asymmetry of power between itself and the United States through adjustment programmes, it is the contention of this thesis that its economic future is anything but stable.

The impact of drug-induced dyskinesias on rapid alternating movements in patients with Parkinson's disease

We investigated the likelihood that hypokinesia/bradykinesia coexist with druginduced dyskinesias (DID) in patients with Parkinson's disease (PD). The influence of dyskinesias on rapid alternating movements (RAM) was investigated in ten dyskinetic patients (DPD). Their motor performance was compared to that of ten age/gendermatched non-dyskinetic patients (NDPD) and ten healthy control subjects. Whole-body magnitude (WBM) and fast pronation-supination at the wrist were recorded using 6- degrees of freedom magnetic motion tracker and forearm rotational sensors, respectively. Subjects were asked to pronate-supinate their dominant hand for 10s. Pre- and postmeasures were taken in a neutral position for 20s. RANGE (measure of hypokinesia), DURATION (measure of bradykinesia). VELOCITY (measure of bradykinesia) and IRREGULARITY (measure of fluctuations in movement amplitude) were used to assess RAM performance. Results showed that DPD patients had greater WBM than NDPD and control groups during rest and RAM performance. There were no differences in performance between NDPD and DPD groups for RANGE, DURATION and VELOCITY, despite significant longer disease duration for the DPD group (DPD = 15.5 ± 6.2 years versus NDPD = 6.6 ± 2.6 years). However, both the NDPD and DPD groups showed lower RANGE, longer DURATION, and reduced VELOCITY compared to controls,, suggesting the presence of bradykinesia and hypokinesia. In the case of IRREGULARITY, DPD patients showed clear fluctuations in movement amplitude compared to the NDPD and control groups. However, the lack of correlation between WBM and IRREGULARITY within the DPD group (Spearman's rank order, Rho - 0.31, p > 0.05), suggests that DID was not the primary cause of the fluctuating movementamplitude observed in that group. In conclusion, these findings suggest that DID may coexists with bradykinesia and hypokinesia, but that they are not inevitably accompanied with worsening motor performance.

Multinational drug corporations, intellectual property rights and the Canadian state : a historical and critical analysis

This study critically analyzes the historical role and influence of multinational drug cotpOrations and multinational corporations in general; the u.s. government and the Canadian state in negotiating the global recognition ofIntellectual Property Rights (IPR) under GATT/NAFTA. This process began in 1969 when the Liberal government, in response to high prices for brand-name drugs amended the Patent Act to introduce compulsory licensing by reducing monopoly protection from 20 to seven years. Although the financial position ofthe multinational drug industry was not affected, it campaigned vigorously to change the 1969 legislation. In 1987, the Patent Act was amended to extend protection to 10 years as a condition for free trade talks with the u.s. Nonetheless, the drug industry was not satisfied and accused Canada of providing a bad example to other nations. Therefore, it continued to campaign for global recognition ofIPR laws under GATT. Following the conclusion of the GATTI Trade-Related aspects of Intellectual Property Rights agreement (TRIPS) in 1991, the multinational drug industry and the American government, to the surprise of many, were still not satisfied and sought to implement harsher conditions under NAFTA. The Progressive Conservative government readily agreed without any objections or consideration for the social consequences. As a result, Bill C-91 was introduced. It abandoned compulsory licenses and was made retroactive from December 21, 1991. It is the contention of this thesis that the economic survival of multinational corporations on a global scale depends on the role and functions of the modem state. Similarly, the existence of the state depends on the ideological-political and socioeconomic assistance it gives to multinational corporations on a national and international scale. This dialectical relation of the state and multinational corporations is explored in our theoretical and historical analysis of their role in public policy.

Salience of Charter Schools in Educational Policy Debates in Three Canadian Provinces: 1993-2010

School choice-the movement towards increased parental and student control over public education-has been endorsed extensively as a means of revitalizing and improving public schools. Part of this movement is the concept of charter schools, which have expanded rapidly in the United States and around the globe. In stark contrast, Canadians have remained relatively content with current educational arrangements; only 13 charter schools currently exist in Canada, all in the province of Alberta. This study sought to identify why charter schools have failed to situate themselves in Canadian education. The study used an agenda setting framework to determine the salience of charter schools as a public issue in three provinces: Alberta, British Columbia, and Ontario. Results largely indicate that over the past 18 years, charter schools have gradually declined as a salient issue. Additional discussion concerning the unique characteristics of Canadian education highlights factors that appear to discourage the expansion of such schools. However, although charter schools do not appear to be a current issue for Canadians, they may still emerge in the future, as parents and teachers continue to seek new ways of improving educational outcomes. Thus, although the impact of charter schools on public education has been minimal to date, they provide an illuminating lens towards better understanding educational reform and policy, as well as the fundamental values that shape education in Canada.

The Dynamic (In)efficiency of Monetary Policy by Committee

This paper develops a model where the value of the monetary policy instrument is selected by a heterogenous committee engaged in a dynamic voting game. Committee members differ in their institutional power and, in certain states of nature, they also differ in their preferred instrument value. Preference heterogeneity and concern for the future interact to generate decisions that are dynamically ineffcient and inertial around the previously-agreed instrument value. This model endogenously generates autocorrelation in the policy variable and provides an explanation for the empirical observation that the nominal interest rate under the central bank’s control is infrequently adjusted.

Effect of drug utilization reviews on the quality of in-hospital prescribing: a quasi-experimental study

Affiliation: Louise Potvin: Groupe de recherche interdisciplinaire en santé, Faculté de médecine, Université de Montréal

Analyse des glissements juridiques de la politique canadienne en matière de brevets quant à son objectif d'équilibre entre la promotion des intérêts de l'industrie pharmaceutique novatrice et ceux de l'industrie du médicament générique

"Mémoire présenté à la Faculté des études supérieures en vue de l'obtention du grade de maîtrise en droit". Ce mémoire a été accepté à l'unanimité et classé parmi les 10% des mémoires de la discipline.

School Choice with Control

Controlled choice over public schools is a common policy of school boards in the United States. It attempts giving choice to parents while maintaining racial and ethnic balance at schools. This paper provides a foundation for controlled school choice programs. We develop a natural notion of fairness and show that assignments, which are fair for same type students and constrained non-wasteful, always exist in controlled choice problems; a "controlled" version of the student proposing deferred acceptance algorithm (CDAA) always finds such an assignment which is also weakly Pareto-optimal. CDAA provides a practical solution for controlled school choice programs.

Transmission dynamics and tuberculosis control among HIV/AIDS patients

Introduction: Les efforts globaux pour contrôler la tuberculose sont présentement restreints par la prévalence croissante du VIH/SIDA. Quoique les éclosions de la tuberculose multi résistante (TB-MDR) soient fréquemment rapportées parmi les populations atteintes du SIDA, le lien entre VIH/SIDA et le développement de résistance n’est pas clair. Objectifs: Cette recherche visait à : (1) développer une base de connaissances concernant les facteurs associés à des éclosions de la TB-MDR parmi les patients atteints du VIH/SIDA; (2) utiliser ce cadre de connaissances pour accroître des mesures préliminaires pour mieux contrôler la tuberculose pulmonaire chez les patients atteints du VIH/SIDA; et (3) afin d’améliorer l’application des ces mesures, affiner les techniques bactériologiques existantes pour Mycobacterium tuberculosis. Méthodologie: Quatre études ont été réalisées : (1) Une étude longitudinale pour identifier les facteurs associés avec une éclosion de la TB-MDR parmi les patients atteints du SIDA qui ont reçu le traitement directement supervisé de courte durée (DOTS) pour la tuberculose pulmonaire au Lima et au Pérou entre 1999 et 2005; (2) Une étude transversale pour décrire différentes étapes de l’histoire naturelle de la tuberculose, la prévalence et les facteurs associés avec la mycobactérie qu’on retrouve dans les selles des patients atteints du SIDA; (3) Un projet pilote pour développer des stratégies de dépistage pour la tuberculose pulmonaire parmi les patients hospitalisés atteints du SIDA, en utilisant l’essaie Microscopic Observation Drug Susceptibility (MODS); et (4) Une étude laboratoire pour identifier les meilleures concentrations critiques pour détecter les souches MDR de M. tuberculosis en utilisant l’essaie MODS. Résultats : Étude 1 démontre qu’une épidémie de TB-MDR parmi les patients atteints du SIDA qui ont reçu DOTS pour la tuberculose pulmonaire ait été causée par la superinfection du clone de M. tuberculosis plutôt que le développement de la résistance secondaire. Bien que ce clone ait été plus commun parmi la cohorte de patients atteints du SIDA, il n’avait aucune différence de risque pour superinfection entre les patients avec ou sans SIDA. Ces résultats suggèrent qu’un autre facteur, possiblement associé à la diarrhée, peu contribuer à la prévalence élevée de ce clone chez les patients atteints du SIDA. Étude 2 suggère que chez la plupart des patients atteints du SIDA il a été retrouvé une mycobactérie dans leurs selles alors qu’ils étaient en phase terminale au niveau de la tuberculose pulmonaire. Or, les patients atteints du SIDA ayant été hospitalisés pendant les deux dernières années pour une autre condition médicale sont moins à risque de se retrouver avec une mycobactérie dans leurs selles. Étude 3 confirme que la tuberculose pulmonaire a été commune à tous les patients hospitalisés atteints du SIDA, mais diagnostiquée incorrectement en utilisant les critères cliniques présentement recommandés pour la tuberculose. Or, l’essaie MODS a détecté pour la plupart de ces cas. De plus, MODS a été également efficace quand la méthode a été dirigée aux patients soupçonnés d’avoir la tuberculose, à cause de leurs symptômes. Étude 4 démontre les difficultés de détecter les souches de M. tuberculosis avec une faible résistance contre ethambutol et streptomycine en utilisant l’essai MODS avec les concentrations de drogue présentement recommandées pour un milieu de culture. Cependant, l’utilité diagnostique de MODS peut être améliorée ; modifier les concentrations critiques et utiliser deux plaques et non une, pour des tests réguliers. Conclusion: Nos études soulèvent la nécessité d’améliorer le diagnostic et le traitement de la tuberculose parmi les patients atteints du SIDA, en particulier ceux qui vivent dans des régions avec moins de ressources. Par ailleurs, nos résultats font ressortir les effets indirects que les soins de santé ont sur les patients infectés par le VIH et qu’ils peuvent avoir sur le développement de la tuberculose.

Association between neighbourhood socioeconomic characteristics and high-risk injection behaviour amongst injection drug users living in inner vs. other city areas in Montréal, Canada

Ce manuscrit est une pré-publication d'un article paru dans International Journal of Drug Policy 2010; 21(1): 49-55.