The microstructure of the foreign exchange market:the determinants of bid-ask spreads in the foreign exchange market

The purpose of this thesis is to shed more light in the FX market microstructure by examining the determinants of bid-ask spread for three currencies pairs, the US dollar/Japanese yen, the British pound/US dollar and the Euro/US dollar in different time zones. I examine the commonality in liquidity with the elaboration of FX market microstructure variables in financial centres across the world (New York, London, Tokyo) based on the quotes of three exchange rate currency pairs over a ten-year period. I use GARCH (1,1) specifications, ICSS algorithm, and vector autoregression analysis to examine the effect of trading activity, exchange rate volatility and inventory holding costs on both quoted and relative spreads. ICSS algorithm results show that intraday spread series are much less volatile compared to the intraday exchange rate series as the number of change points obtained from ICSS algorithm is considerably lower. GARCH (1,1) estimation results of daily and intraday bid-ask spreads, show that the explanatory variables work better when I use higher frequency data (intraday results) however, their explanatory power is significantly lower compared to the results based on the daily sample. This suggests that although daily spreads and intraday spreads have some common determinants there are other factors that determine the behaviour of spreads at high frequencies. VAR results show that there are some differences in the behaviour of the variables at high frequencies compared to the results from the daily sample. A shock in the number of quote revisions has more effect on the spread when short term trading intervals are considered (intra-day) compared to its own shocks. When longer trading intervals are considered (daily) then the shocks in the spread have more effect on the future spread. In other words, trading activity is more informative about the future spread when intra-day trading is considered while past spread is more informative about the future spread when daily trading is considered

Bid-ask spread dynamics in foreign exchange markets

The aim of this paper is to examine the short term dynamics of foreign exchange rate spreads. Using a vector autoregressive model (VAR) we show that most of the variation in the spread comes from the long run dependencies between past and future spreads rather than being caused by changes in inventory, adverse selection, cost of carry or order processing costs. We apply the Integrated Cumulative Sum of Squares (ICSS) algorithm of Inclan and Tiao (1994) to discover how often spread volatility changes. We find that spread volatility shifts are relatively uncommon and shifts in one currency spread tend not to spillover to other currency spreads. © 2013.

MINERVA – the Ministerial Network for Valorising Activities in Digitisation Towards an Agreed European Platform for Digitisation of Cultural and Scientific Heritage

MINERVA is a project funded by the European Commission IST Programme within the 5th Framework Programme. It created a network of EU Ministries and other agencies in charge of cultural policies and programmes, which is open to enlargement to new countries and new sectors of the civil society. The network discusses, correlates and harmonises the activities carried out in the field of digitisation of cultural and scientific heritage, aiming at creating a common European platform made up of agreed recommendations, guidelines, standards. The network acts also to foster collaboration between European Commission and Member States, to ensure awareness of European policies at national level, to exchange good practice, to coordinate national programmes in order to embed in national digitisation activities the technical results achieved by the network. Some main outcomes of the activities are presented.

Kelet-közép-európai devizaárfolyamok előrejelzése határidős árfolyamok segítségével (Forecasting the exchange rates of three Central-Eastern European currencies with forward exchange rates)

Írásunkban azt vizsgáljuk, hogy a hosszú lejáratú határidős árfolyamok stacionaritását feltételező hibakorrekciós modellek, amelyeknek korábbi számítások szerint - a világ devizapiaci forgalmának mintegy 75 százalékát kitevő fejlett ipari országokra alkalmazva - kitűnő a mintán kívüli előrejelző erejük, hogyan képesek három keletközép- európai ország devizaárfolyamát előrejelezni. A három vizsgálat alá vont deviza (cseh, magyar, lengyel) esetében az eredmények relációnként nagyon eltérnek, és összességében kedvezőtlenebbek, mint a fejlett ipari országokra kapott eredmények, amit a nem teljesen rugalmas árfolyamrezsim, a rendelkezésre álló adatsor rövidsége, az eurózóna-csatlakozáshoz kapcsolódó bizonytalanságok, a devizakockázati és a határidős kamatprémium létezése, továbbá a Balassa-Samuelson-hatás együttes befolyásaként tudunk értelmezni. JEL kód: E43, F31, F47. /===/ This paper studies whether models that assume long-maturity forward exchange rates are stationary (which proved in earlier studies to provide superior forecasting ability when applied to exchange rates of major currencies) are capable of forecasting the Euro exchange rates of three Central-East European currencies (the Czech koruna, Hungarian forint and Polish zloty). The results for the three currencies differ from each other and are generally much worse than those obtained earlier for major currencies. These unfavourable results are attributed to the consequences of managed exchange-rate systems, to the short time series available, to uncertainties related to future Euro-zone entry, to the existence of a foreign exchange and term premium, and to the Balassa–Samuelson effect.

Az európai gazdasági kormányzás előtt álló kihívások. A hármas tagadás lehetetlensége (Challenges of European economic governance. The impossible trinity of denial.)

Az európai gazdasági integráció folyamata olyan kényszerhelyzetekben formálódott a múltban, amelyek a közgazdaságtudományban jól ismert lehetetlen háromság alapján is leírhatók. Az Európai Monetáris Rendszer a rögzített árfolyam-mechanizmusra és önálló jegybanki politikára épített, korlátozva a tőkemozgásokat. A Gazdasági és Monetáris Unió ugyanakkor a tőke szabad áramlásával és az árfolyamok visszavonhatatlan rögzítésével felszámolta a tagállami szintű jegybanki autonómiát. Az euróövezet működése egyszersmind arra a háromszoros tagadásra épül(t), hogy 1. nem lehetséges az euróövezetből való kilépés, 2. nem engedélyezett a kimentés és 3. nem kerülhet sor államcsődre. A 2008-ban Európát is elérő pénzügyi és gazdasági válság azonban elemi erővel mutatott rá e hármas tiltás tarthatatlanságára. A gazdasági kormányzás körül kibontakozott viták így jól közelíthetők a három tiltó szabály egyidejű érvényesülése lehetetlenségének bemutatásával, számba véve az egyes opciók költségeit és lehetséges hasznait. / === / The process of economic integration in the EU has been shaped by the well-known theorem of the impossible trinity. Accordingly, the European Monetary System was built upon a mix of a fixed exchange-rate regime and an autonomous monetary policy, thereby constraining capital mobility. In launching the EMU project, the EU countries decided to fix national currencies irrevocably and maintain full capital mobility, in exchange for delegating their monetary policy upwards to a supranational level. The introduction of the Euro zone, however, has simultaneously meant denial of the following three elements: (1) exit, (2) bail-out, and (3) default. Nevertheless, the 2008–9 financial and economic crisis has demonstrated mercilessly that these three pillars are incompatible with each other. So the current debates on reshaping economic governance in the EU can be modelled by introducing the “impossible trinity of denial”, concentrating on the benefits and the costs of each option.

Megmenthető-e az euróövezet? (Can the eurozone be saved?)

Az euró válságának szélesebb globális összefüggései vannak, mind a kiváltó okait, mind a nemzetközi pénzügyi rendszer működésének hiányosságait illetően. Az európai monetáris integráció szilárd reálgazdasági alapokon nyugszik. Az euró teljesítménye mind az árstabilitás, mind az árfolyamok ingadozása tekintetében megfelelőnek tekinthető. Az euróválság szuverénadósság-válság, és leginkább a zóna egyes (déli) országait érinti. Az euróválság okai többrétűek: ezek között az eurózóna hibás konstrukcióját, téves koncepcionális feltételezéseit, a politikai kompromisszumokkal folyamatosan megnyomorított működését említhetjük leginkább. A közös pénz önmagában nem oka a válságnak és nem is bűvös ellenszer. A hibás gazdaságpolitikáért belül ugyanúgy bűnhődni kell, mint kívül. Görögország, vagy Írország elsősorban nem azért került válságba, mert tagjai az eurózónának, hanem mert hibás gazdaságpolitikát folytattak. Nem zárható ki az eurózóna szétesése, de kicsi az esélye. / === / The euro crisis has broad global connections, both in terms of deficiencies of the international monetary system, and of the crisis of the global financial markets. The European monetary integration is based on strong real-economic foundations. The performance of the euro has been satisfactory both in terms of price and exchange rate stability. The present crisis is a sovereign debt crisis, and it is concentrated mainly on some Southern members. The causes of the crisis are manifold: wrong institutional and policy structures, mistaken conceptual assumptions, and the distortion of its operation by continuous political compromises. The contradictions between common monetary policy and the national fiscal policies, the failure of disciplining role of the markets, the weakness of control of national fiscal policies, the dangers of "one size fits all" monetary policy, the failure of finding the proper national policy mixes, particularly in terms of income and structural policies, and the underestimation of social and cultural differences, can be particularly stressed. The common monetary policy failed to secure the necessary equilibrium among liquidity, stability and growth. Greece and Ireland got in crisis not because they are members of the euro zone, but because of their mistaken economic policies. The collapse of the euro zone cannot be excluded, but the chances of it are limited.

Kiigazítás recesszió nélkül. Esettanulmány a magyar stabilizációról = Adjustment without recession: A Case Study of Hungarian Stabilization

1995. március 12-én a magyar kormány és a központi bank szigorú kiigazítási és stabilizációs programot hirdetett meg. A cikk az első eredmények számbavételére tesz kísérletet. A program meghirdetése előtt Magyarország két egymást követő év- ben hatalmas fizetésimérleg-hiányt mutatott fel, és nemzetközi megítélése romlani kezdett. A program radikális intézkedései nyomán elkerülhetővé vált a mexikói vál- sághoz hasonló pénzügyi katasztrófa. Sok makrogazdasági mutató jól érzékelhető javulást jelez: lényegesen csökkent a kereskedelmi mérleg és a folyó fizetési mérleg hiánya, a költségvetés elsődleges egyenlege pozitív lett. Az ilyesféle stabilizációs programokat rendszerint súlyos visszaesés és a munkanélküliség nagy növekedése kíséri. Magyarország elkerülte ezeket a mellékhatásokat: a GDP drasztikus vissza- esés helyett valamelyest tovább növekedett, és a munkanélküliség változatlan ma- radt. A javulásnak nagy ára volt: az életszínvonal erőteljes csökkenése, az infláció felgyorsulása, bár a magyarországi infláció még mindig a kézben tartott, mérsékelt infláció sávjában maradt. A cikk ismerteti a program heterodox módszereit: 1. nagy leértékelés, az előre meghirdetett csúszó árfolyam rezsimjének bevezetése, valamint ideiglenes import- vámpótlék kivetése; 2. határozott jövedelempolitika, amely 12 százalékos reálbércsök- kenést kényszerített ki; 3. fiskális intézkedések, köztük jóléti jogosultságok csök- kentése (a program meghirdetése előtt ezek a jogosultságok tabuk voltak); 4. a hitel- kínálat átcsoportosítása a vállalati szektor javára, a jövedelmezőség növekedése; 5. feszített (bár nem mértéktelenül feszített) monetáris politika, amely lehetővé tette a sikeres vállalatok expanzióját; 6. a privatizáció felgyorsítása, nagy és sikeres lépé- sek egyes kulcsszektorok (energia, telekommunikáció) privatizációjában. Végezetül a tanulmány óva int a túlzott magabiztosságtól és felhívja a figyelmet a potenciális veszélyekre. A makrogazdasági javulás még törékeny. A magyar fejlődés legbiztatóbb sajátossága a termelékenység erőteljes és folyamatos növekedése. / === / On March 12, 1995 Hungary s government and central bank announced a tough program of adjustment and stabilization. This study is an attempt to asses the first results. Before the announcement of the program Hungary had a huge current account deficit for two consecutive years, and her international reputation started to decline. The program s radical measures made it possible to avoid a Mexico-style financial catastrophe. Many macroeconomic indicators show tangible improvement: the trade deficit and the deficit on the current account have been reduced significantly, the primary budget shifted to surplus. These kinds of adjustment programs are usually associated with deep recession and a large increase of unemployment. Hungary avoided these adverse side-effects: GDP instead of a drastic decline, continued to grow somewhat, and unemployment remained unchanged. There was a high price for the improvement: a sharp decline in the standard of living, and an acceleration of inflation, although Hungary is still in the range of controlled, moderate inflation. The paper describes the heterodox instruments of the program: (1) large devaluation, followed by a new exchange rate regime of pre-announced crawling peg, and a temporary import surcharge, (2) energetic income policy, enforcing a 12% cut in real wages; (3) fiscal measures, including cuts in welfare entitlements. That happened for the first time: before the program entitlements had been regarded as taboo ; (4) reallocation of credit supply in favor of the enterprise sector; increase of profitability; (5) tight (but not excessively tight) monetary policy, allowing the expansion of successful private busi- ness; (6) acceleration of privatisation, including large and successful steps in the privatisation of some key sectors (energy, telecommunication). Finally the paper warns against excessive self- confidence and draws the attention to potential dangers. The macroeconomic improvement is still fragile. The most reassuring feature of Hungary s development is the impressive and persistent improvement of productivity.

Essays on international macroeconomics and conflict analysis

This dissertation addressed two broad problems in international macroeconomics and conflict analysis. The first problem in the first chapter looked at the behavior of exchange rate and its interaction with industry-level tradable goods prices for three countries, USA, UK and Japan. This question has important monetary policy implications. Here, I computed to what extent changes in exchange rate affected prices of consumer, producer, and export goods. I also studied the timing of these changes in these prices. My results, based on thirty-four industrial prices for USA, UK and Japan, supported the view that changes in exchange rates significantly affect prices of industrial and consumer goods. It also provided an insight to the underlying economic process that led to changes in relative prices. ^ In the second chapter, I explored the predictability of future inflation by incorporating shocks to exchange rates and clearly specified the transmission mechanisms that link exchange rates to industry-level consumer and producer prices. Employing a variety of linear and state-of-the-art nonlinear models, I also predicted growth rates of future prices. Comparing levels of inflation obtained from the above approaches showed superiority of the structural model incorporating the exchange rate pass-through effect. ^ The second broad issue addressed in the third chapter of the dissertation investigated the economic motives for conflict, manifested by rebellion and civil war for seventeen Latin American countries. Based on the analytical framework of Garfinkel, Skaperdas and Syropoulos (2004), I employed ordinal regressions and Markov switching for a panel of seventeen countries to identify trade and openness factors responsible for conflict occurrence and intensity. The results suggested that increased trade openness reduced high intensity domestic conflicts but overdependence on agricultural exports, along with a lack of income earning opportunities lead to more conflicts. Thereafter, using the Cox Proportional Hazard model I studied “conflict duration” and found that over-reliance on agricultural exports explained a major part of the length of conflicts in addition to various socio-political factors. ^

Essays in open economy macroeconomics

Research macroeconomists have witnessed remarkable methodological developments in mathematical, statistical, and computational tools during the last two decades. The three essays in this dissertation took advantage of these advances to analyze important macroeconomic issues. ^ The first essay, “ Habit Formation, Adjustments Costs, and International Business Cycle Puzzles” analyzes the extent to which incorporating habit formation and adjustment costs in investment in a one-good two-country general equilibrium model would help overcome some of the international business cycle puzzles. Unlike standard results in the literature, the model generates persistent, cyclical adjustment paths in response to shocks. It also yields positive cross-country correlations in consumption, employment, investment, and output. Cross-country correlations in output are higher than the ones in consumption. This is qualitatively consistent with the stylized facts. These results are particularly striking given the predicted negative correlations in investment, employment, and output that are typically found in the literature. ^ The second essay, “Comparison Utility, Endogenous Time Preference, and Economic Growth,” uses World War II as a natural experiment to analyze the degree to which a model where consumers' preferences exhibit comparison-based utility and endogenous discounting is able to improve upon existing models in mimicking the transitional dynamics of an economy after a shock that destroys part of its capital stock. The model outperforms existing ones in replicating the behavior of the saving rate (both on impact and along the transient paths) after this historical event. This result brings additional support to the endogenous rate of time preference being a crucial element in growth models. ^ The last essay, “Monetary Policy under Fear of Floating: Modeling the Dominican Economy,” presents a small scale macroeconomic model for a country (Dominican Republic) characterized by a strong presence of fear of floating (reluctance to have a flexible exchange rate regime) in the conduct of monetary policy. The dynamic responses of this economy to external shocks that are of interest for monetary policy purposes are analyzed under two alternative interest rate policy rules: One being the standard Taylor rule and another that responds explicitly to deviations of the exchange rate with respect to its long-term trend. ^

Evaluation of wind-induced internal pressure in low-rise buildings: A multi scale experimental and numerical approach

Hurricane is one of the most destructive and costly natural hazard to the built environment and its impact on low-rise buildings, particularity, is beyond acceptable. The major objective of this research was to perform a parametric evaluation of internal pressure (IP) for wind-resistant design of low-rise buildings and wind-driven natural ventilation applications. For this purpose, a multi-scale experimental, i.e. full-scale at Wall of Wind (WoW) and small-scale at Boundary Layer Wind Tunnel (BLWT), and a Computational Fluid Dynamics (CFD) approach was adopted. This provided new capability to assess wind pressures realistically on internal volumes ranging from small spaces formed between roof tiles and its deck to attic to room partitions. Effects of sudden breaching, existing dominant openings on building envelopes as well as compartmentalization of building interior on the IP were systematically investigated. Results of this research indicated: (i) for sudden breaching of dominant openings, the transient overshooting response was lower than the subsequent steady state peak IP and internal volume correction for low-wind-speed testing facilities was necessary. For example a building without volume correction experienced a response four times faster and exhibited 30–40% lower mean and peak IP; (ii) for existing openings, vent openings uniformly distributed along the roof alleviated, whereas one sided openings aggravated the IP; (iii) larger dominant openings exhibited a higher IP on the building envelope, and an off-center opening on the wall exhibited (30–40%) higher IP than center located openings; (iv) compartmentalization amplified the intensity of IP and; (v) significant underneath pressure was measured for field tiles, warranting its consideration during net pressure evaluations. The study aimed at wind driven natural ventilation indicated: (i) the IP due to cross ventilation was 1.5 to 2.5 times higher for Ainlet/Aoutlet>1 compared to cases where Ainlet/Aoutlet<1, this in effect reduced the mixing of air inside the building and hence the ventilation effectiveness; (ii) the presence of multi-room partitioning increased the pressure differential and consequently the air exchange rate. Overall good agreement was found between the observed large-scale, small-scale and CFD based IP responses. Comparisons with ASCE 7-10 consistently demonstrated that the code underestimated peak positive and suction IP.

Essays in Open Economy Macroeconomics

Research macroeconomists have witnessed remarkable methodological developments in mathematical, statistical, and computational tools during the last two decades. The three essays in this dissertation took advantage of these advances to analyze important macroeconomic issues. The first essay, “ Habit Formation, Adjustments Costs, and International Business Cycle Puzzles” analyzes the extent to which incorporating habit formation and adjustment costs in investment in a one-good two-country general equilibrium model would help overcome some of the international business cycle puzzles. Unlike standard results in the literature, the model generates persistent, cyclical adjustment paths in response to shocks. It also yields positive cross-country correlations in consumption, employment, investment, and output. Cross-country correlations in output are higher than the ones in consumption. This is qualitatively consistent with the stylized facts. These results are particularly striking given the predicted negative correlations in investment, employment, and output that are typically found in the literature. The second essay, “Comparison Utility, Endogenous Time Preference, and Economic Growth,” uses World War II as a natural experiment to analyze the degree to which a model where consumers' preferences exhibit comparison-based utility and endogenous discounting is able to improve upon existing models in mimicking the transitional dynamics of an economy after a shock that destroys part of its capital stock. The model outperforms existing ones in replicating the behavior of the saving rate (both on impact and along the transient paths) after this historical event. This result brings additional support to the endogenous rate of time preference being a crucial element in growth models. The last essay, “Monetary Policy under Fear of Floating: Modeling the Dominican Economy,” presents a small scale macroeconomic model for a country (Dominican Republic) characterized by a strong presence of fear of floating (reluctance to have a flexible exchange rate regime) in the conduct of monetary policy. The dynamic responses of this economy to external shocks that are of interest for monetary policy purposes are analyzed under two alternative interest rate policy rules: One being the standard Taylor rule and another that responds explicitly to deviations of the exchange rate with respect to its long-term trend.

Desindustrialização no Brasil: teorias e evidências para o debate

This study aims to contribute with evidence to reinforce or not the thesis of a possible deindustrialization of the Brazilian economy, with emphasis on period after 1995. The debate began in the late 80s, however, recently the industry deceleration gained strength in discussions academic. Between the main theses in this debate is the new-development that believes in precocious deindustrialization caused primarily by overvaluation exchange rate. However, part of heterodoxy believes the industry downturn is more related to the rate of investment than the exchange rate. Nevertheless, according to the orthodox thesis the loss of competitiveness due to the high cost of production may have caused the de-industrialization in Brazil. On the other hand, part of Orthodoxy does not believe that the country is deindustrializing it, but is occurring convergence of Brazilian industry the world average. Thus, in an attempt to shed light on this debate, this study intends to identify the reasons for the deceleration of the Brazilian industry, emphasizing aspects underexplored in the literature and define whether or not the country suffers a process of deindustrialization. When analyzing various indicators, especially the quantum level we find strong indications that the deceleration of the Brazilian industry can be characterized as a deindustrialization, though still insufficient to qualify as precocious, given the loss of share in physical production in total output and the share of primary goods in the export basket

A dinâmica da taxa de câmbio no Brasil face às operações swap (2002-2015)

This dissertation investigates, based on the Post-Keynesian theory and on its concept of monetary economy of production, the exchange rate behavior of the Brazilian Real in the presence of Brazilian Central Bank's interventions by means of the so-called swap transactions over 2002-2015. Initially, the work analyzes the essential properties of an open monetary economy of production and, thereafter, it presents the basic propositions of the Post-Keynesian view on the exchange rate determination, highlighting the properties of foreign exchange markets and the peculiarities of the Brazilian position into the international monetary and financial system. The research, thereby, accounts for the various segments of the Brazilian foreign exchange market. To accomplish its purpose, we first do a literature review of the Post-Keynesian literature about the topic. Then, we undertake empirical exams of the exchange rate determination using two statistical methods. On the one hand, to measure the volatility of exchange rate, we estimate Auto-regressive Conditional Heteroscedastic (ARCH) and Generalized Auto-regressive Conditional Heteroscedastic (GARCH) models. On the other hand, to measure the variance of the exchange rate in relation to real, financial variables, and the swaps, we estimate a Vector Auto-regression (VAR) model. Both experiments are performed for the nominal and real effective exchange rates. The results show that the swaps respond to exchange rate movements, trying to offset its volatility. This reveals that the exchange rate is, at least in a certain magnitude, sensitive to swaps transactions conducted by the Central Bank. In addition, another empirical result is that the real effective exchange rate responds more to the swaps auctions than the nominal rate.

Radiotherapy Treatment Assessment using DCE-MRI

Abstract

The goal of modern radiotherapy is to precisely deliver a prescribed radiation dose to delineated target volumes that contain a significant amount of tumor cells while sparing the surrounding healthy tissues/organs. Precise delineation of treatment and avoidance volumes is the key for the precision radiation therapy. In recent years, considerable clinical and research efforts have been devoted to integrate MRI into radiotherapy workflow motivated by the superior soft tissue contrast and functional imaging possibility. Dynamic contrast-enhanced MRI (DCE-MRI) is a noninvasive technique that measures properties of tissue microvasculature. Its sensitivity to radiation-induced vascular pharmacokinetic (PK) changes has been preliminary demonstrated. In spite of its great potential, two major challenges have limited DCE-MRI’s clinical application in radiotherapy assessment: the technical limitations of accurate DCE-MRI imaging implementation and the need of novel DCE-MRI data analysis methods for richer functional heterogeneity information.

This study aims at improving current DCE-MRI techniques and developing new DCE-MRI analysis methods for particular radiotherapy assessment. Thus, the study is naturally divided into two parts. The first part focuses on DCE-MRI temporal resolution as one of the key DCE-MRI technical factors, and some improvements regarding DCE-MRI temporal resolution are proposed; the second part explores the potential value of image heterogeneity analysis and multiple PK model combination for therapeutic response assessment, and several novel DCE-MRI data analysis methods are developed.

I. Improvement of DCE-MRI temporal resolution. First, the feasibility of improving DCE-MRI temporal resolution via image undersampling was studied. Specifically, a novel MR image iterative reconstruction algorithm was studied for DCE-MRI reconstruction. This algorithm was built on the recently developed compress sensing (CS) theory. By utilizing a limited k-space acquisition with shorter imaging time, images can be reconstructed in an iterative fashion under the regularization of a newly proposed total generalized variation (TGV) penalty term. In the retrospective study of brain radiosurgery patient DCE-MRI scans under IRB-approval, the clinically obtained image data was selected as reference data, and the simulated accelerated k-space acquisition was generated via undersampling the reference image full k-space with designed sampling grids. Two undersampling strategies were proposed: 1) a radial multi-ray grid with a special angular distribution was adopted to sample each slice of the full k-space; 2) a Cartesian random sampling grid series with spatiotemporal constraints from adjacent frames was adopted to sample the dynamic k-space series at a slice location. Two sets of PK parameters’ maps were generated from the undersampled data and from the fully-sampled data, respectively. Multiple quantitative measurements and statistical studies were performed to evaluate the accuracy of PK maps generated from the undersampled data in reference to the PK maps generated from the fully-sampled data. Results showed that at a simulated acceleration factor of four, PK maps could be faithfully calculated from the DCE images that were reconstructed using undersampled data, and no statistically significant differences were found between the regional PK mean values from undersampled and fully-sampled data sets. DCE-MRI acceleration using the investigated image reconstruction method has been suggested as feasible and promising.

Second, for high temporal resolution DCE-MRI, a new PK model fitting method was developed to solve PK parameters for better calculation accuracy and efficiency. This method is based on a derivative-based deformation of the commonly used Tofts PK model, which is presented as an integrative expression. This method also includes an advanced Kolmogorov-Zurbenko (KZ) filter to remove the potential noise effect in data and solve the PK parameter as a linear problem in matrix format. In the computer simulation study, PK parameters representing typical intracranial values were selected as references to simulated DCE-MRI data for different temporal resolution and different data noise level. Results showed that at both high temporal resolutions (<1s) and clinically feasible temporal resolution (~5s), this new method was able to calculate PK parameters more accurate than the current calculation methods at clinically relevant noise levels; at high temporal resolutions, the calculation efficiency of this new method was superior to current methods in an order of 102. In a retrospective of clinical brain DCE-MRI scans, the PK maps derived from the proposed method were comparable with the results from current methods. Based on these results, it can be concluded that this new method can be used for accurate and efficient PK model fitting for high temporal resolution DCE-MRI.

II. Development of DCE-MRI analysis methods for therapeutic response assessment. This part aims at methodology developments in two approaches. The first one is to develop model-free analysis method for DCE-MRI functional heterogeneity evaluation. This approach is inspired by the rationale that radiotherapy-induced functional change could be heterogeneous across the treatment area. The first effort was spent on a translational investigation of classic fractal dimension theory for DCE-MRI therapeutic response assessment. In a small-animal anti-angiogenesis drug therapy experiment, the randomly assigned treatment/control groups received multiple fraction treatments with one pre-treatment and multiple post-treatment high spatiotemporal DCE-MRI scans. In the post-treatment scan two weeks after the start, the investigated Rényi dimensions of the classic PK rate constant map demonstrated significant differences between the treatment and the control groups; when Rényi dimensions were adopted for treatment/control group classification, the achieved accuracy was higher than the accuracy from using conventional PK parameter statistics. Following this pilot work, two novel texture analysis methods were proposed. First, a new technique called Gray Level Local Power Matrix (GLLPM) was developed. It intends to solve the lack of temporal information and poor calculation efficiency of the commonly used Gray Level Co-Occurrence Matrix (GLCOM) techniques. In the same small animal experiment, the dynamic curves of Haralick texture features derived from the GLLPM had an overall better performance than the corresponding curves derived from current GLCOM techniques in treatment/control separation and classification. The second developed method is dynamic Fractal Signature Dissimilarity (FSD) analysis. Inspired by the classic fractal dimension theory, this method measures the dynamics of tumor heterogeneity during the contrast agent uptake in a quantitative fashion on DCE images. In the small animal experiment mentioned before, the selected parameters from dynamic FSD analysis showed significant differences between treatment/control groups as early as after 1 treatment fraction; in contrast, metrics from conventional PK analysis showed significant differences only after 3 treatment fractions. When using dynamic FSD parameters, the treatment/control group classification after 1st treatment fraction was improved than using conventional PK statistics. These results suggest the promising application of this novel method for capturing early therapeutic response.

The second approach of developing novel DCE-MRI methods is to combine PK information from multiple PK models. Currently, the classic Tofts model or its alternative version has been widely adopted for DCE-MRI analysis as a gold-standard approach for therapeutic response assessment. Previously, a shutter-speed (SS) model was proposed to incorporate transcytolemmal water exchange effect into contrast agent concentration quantification. In spite of richer biological assumption, its application in therapeutic response assessment is limited. It might be intriguing to combine the information from the SS model and from the classic Tofts model to explore potential new biological information for treatment assessment. The feasibility of this idea was investigated in the same small animal experiment. The SS model was compared against the Tofts model for therapeutic response assessment using PK parameter regional mean value comparison. Based on the modeled transcytolemmal water exchange rate, a biological subvolume was proposed and was automatically identified using histogram analysis. Within the biological subvolume, the PK rate constant derived from the SS model were proved to be superior to the one from Tofts model in treatment/control separation and classification. Furthermore, novel biomarkers were designed to integrate PK rate constants from these two models. When being evaluated in the biological subvolume, this biomarker was able to reflect significant treatment/control difference in both post-treatment evaluation. These results confirm the potential value of SS model as well as its combination with Tofts model for therapeutic response assessment.

In summary, this study addressed two problems of DCE-MRI application in radiotherapy assessment. In the first part, a method of accelerating DCE-MRI acquisition for better temporal resolution was investigated, and a novel PK model fitting algorithm was proposed for high temporal resolution DCE-MRI. In the second part, two model-free texture analysis methods and a multiple-model analysis method were developed for DCE-MRI therapeutic response assessment. The presented works could benefit the future DCE-MRI routine clinical application in radiotherapy assessment.

Bridging the Scale Gap from Leaf to Canopy in Biosphere-Atmosphere Gas and Particle Exchanges

Terrestrial ecosystems, occupying more than 25% of the Earth's surface, can serve as

`biological valves' in regulating the anthropogenic emissions of atmospheric aerosol

particles and greenhouse gases (GHGs) as responses to their surrounding environments.

While the signicance of quantifying the exchange rates of GHGs and atmospheric

aerosol particles between the terrestrial biosphere and the atmosphere is

hardly questioned in many scientic elds, the progress in improving model predictability,

data interpretation or the combination of the two remains impeded by

the lack of precise framework elucidating their dynamic transport processes over a

wide range of spatiotemporal scales. The diculty in developing prognostic modeling

tools to quantify the source or sink strength of these atmospheric substances

can be further magnied by the fact that the climate system is also sensitive to the

feedback from terrestrial ecosystems forming the so-called `feedback cycle'. Hence,

the emergent need is to reduce uncertainties when assessing this complex and dynamic

feedback cycle that is necessary to support the decisions of mitigation and

adaptation policies associated with human activities (e.g., anthropogenic emission

controls and land use managements) under current and future climate regimes.

With the goal to improve the predictions for the biosphere-atmosphere exchange

of biologically active gases and atmospheric aerosol particles, the main focus of this

dissertation is on revising and up-scaling the biotic and abiotic transport processes

from leaf to canopy scales. The validity of previous modeling studies in determining

iv

the exchange rate of gases and particles is evaluated with detailed descriptions of their

limitations. Mechanistic-based modeling approaches along with empirical studies

across dierent scales are employed to rene the mathematical descriptions of surface

conductance responsible for gas and particle exchanges as commonly adopted by all

operational models. Specically, how variation in horizontal leaf area density within

the vegetated medium, leaf size and leaf microroughness impact the aerodynamic attributes

and thereby the ultrane particle collection eciency at the leaf/branch scale

is explored using wind tunnel experiments with interpretations by a porous media

model and a scaling analysis. A multi-layered and size-resolved second-order closure

model combined with particle

uxes and concentration measurements within and

above a forest is used to explore the particle transport processes within the canopy

sub-layer and the partitioning of particle deposition onto canopy medium and forest

oor. For gases, a modeling framework accounting for the leaf-level boundary layer

eects on the stomatal pathway for gas exchange is proposed and combined with sap

ux measurements in a wind tunnel to assess how leaf-level transpiration varies with

increasing wind speed. How exogenous environmental conditions and endogenous

soil-root-stem-leaf hydraulic and eco-physiological properties impact the above- and

below-ground water dynamics in the soil-plant system and shape plant responses

to droughts is assessed by a porous media model that accommodates the transient

water

ow within the plant vascular system and is coupled with the aforementioned

leaf-level gas exchange model and soil-root interaction model. It should be noted

that tackling all aspects of potential issues causing uncertainties in forecasting the

feedback cycle between terrestrial ecosystem and the climate is unrealistic in a single

dissertation but further research questions and opportunities based on the foundation

derived from this dissertation are also brie

y discussed.