Controllo dell'atto di prensione: coinvolgimento dell'area V6A nell'orientamento del polso

Prehension in an act of coordinated reaching and grasping. The reaching component is concerned with bringing the hand to object to be grasped (transport phase); the grasping component refers to the shaping of the hand according to the object features (grasping phase) (Jeannerod, 1981). Reaching and grasping involve different muscles, proximal and distal muscles respectively, and are controlled by different parietofrontal circuit (Jeannerod et al., 1995): a medial circuit, involving area of superior parietal lobule and dorsal premotor area 6 (PMd) (dorsomedial visual stream), is mainly concerned with reaching; a lateral circuit, involving the inferior parietal lobule and ventral premotor area 6 (PMv) (dorsolateral visual stream), with grasping. Area V6A is located in the caudalmost part of the superior parietal lobule, so it belongs to the dorsomedial visual stream; it contains neurons sensitive to visual stimuli (Galletti et al. 1993, 1996, 1999) as well as cells sensitive to the direction of gaze (Galletti et al. 1995) and cells showing saccade-related activity (Nakamura et al. 1999; Kutz et al. 2003). Area V6A contains also arm-reaching neurons likely involved in the control of the direction of the arm during movements towards objects in the peripersonal space (Galletti et al. 1997; Fattori et al. 2001). The present results confirm this finding and demonstrate that during the reach-to-grasp the V6A neurons are also modulated by the orientation of the wrist. Experiments were approved by the Bioethical Committee of the University of Bologna and were performed in accordance with National laws on care and use of laboratory animals and with the European Communities Council Directive of 24th November 1986 (86/609/EEC), recently revised by the Council of Europe guidelines (Appendix A of Convention ETS 123). Experiments were performed in two awake Macaca fascicularis. Each monkey was trained to sit in a primate chair with the head restrained to perform reaching and grasping arm movements in complete darkness while gazing a small fixation point. The object to be grasped was a handle that could have different orientation. We recorded neural activity from 163 neurons of the anterior parietal sulcus; 116/163 (71%) neurons were modulated by the reach-to-grasp task during the execution of the forward movements toward the target (epoch MOV), 111/163 (68%) during the pulling of the handle (epoch HOLD) and 102/163 during the execution of backward movements (epoch M2) (t_test, p ≤ 0.05). About the 45% of the tested cells turned out to be sensitive to the orientation of the handle (one way ANOVA, p ≤ 0.05). To study how the distal components of the movement, such as the hand preshaping during the reaching of the handle, could influence the neuronal discharge, we compared the neuronal activity during the reaching movements towards the same spatial location in reach-to-point and reach-to-grasp tasks. Both tasks required proximal arm movements; only the reach-to-grasp task required distal movements to orient the wrist and to shape the hand to grasp the handle. The 56% of V6A cells showed significant differences in the neural discharge (one way ANOVA, p ≤ 0.05) between the reach-to-point and the reach-to-grasp tasks during MOV, 54% during HOLD and 52% during M2. These data show that reaching and grasping are processed by the same population of neurons, providing evidence that the coordination of reaching and grasping takes place much earlier than previously thought, i.e., in the parieto-occipital cortex. The data here reported are in agreement with results of lesions to the medial posterior parietal cortex in both monkeys and humans, and with recent imaging data in humans, all of them indicating a functional coupling in the control of reaching and grasping by the medial parietofrontal circuit.

Synthese organisch-anorganischer Hybridmaterialien in Mehrkomponenten-Lösungsmittelsystemen

Die Funktionalisierung anorganischer Nanopartikel stellt einen Schlüsselschritt in der Herstellung von Nanokompositen dar. Nanokomposite erzielen ein wachsendes Interesse im Bereich der Polymer- und der Materialwissenschaften, da die Kombination mehrerer Materialien mit unterschiedlichen Eigenschaften, wie etwa die Kombination anorganischer Nanopartikel mit Polymeren, große Synergieeffekte erhoffen lässt.rnrnDer Einbau anorganischer Nanopartikel in polymere Matrixmaterialien zur Verbesserung oder Einführung mechanischer, optischer oder magnetischer Eigenschaften von Polymeren bedarf allerdings der Modifizierung der Oberfläche des anorganischen Materials, um die für die positiven Synergieeffekte essentielle Kompatibilität zwischen Füllstoff und Matrix zu erreichen.rnrnEine Vielzahl anorganischer Partikel ist bereits als wässrige Dispersion erhältlich (SiO2, Al2O3, CeO2, ZrO2, ...). Mehrkomponenten- Lösungsmittelsysteme ermöglichen den Transfer dieser Partikel in eine unpolare Umgebung und gleichzeitig deren Funktionalisierung mit amphiphilen Copolymeren. Aufgrund der reversiblen Schaltbarkeit dieser Lösungsmittelsysteme zwischen einem einphasigen und zweiphasigen Zustand werden die zu Beginn in zwei nichtmischbaren Phasen vorliegenden Reaktionspartner durch Übergang in einen einphasigen Zustand unter homogenen Bedingungen in Kontakt gebracht und durch eine erneute Phasentrennung isoliert.rnEin weiterer Vorteil dieser Lösungsmittelsysteme ist deren Tolerierung funktioneller Gruppen in den verwendeten amphiphilen Copolymeren, welche nicht in Wechselwirkung mit der Partikeloberfläche stehen. Beispielsweise können Amine in den amphiphilen Copolymeren für die Wechselwirkung der funktionalisierten Partikel mit einer Polyurethanmatrix dienen, Alkine können mittels einer 1,3-dipolaren Cycloaddition umgesetzt werden oder aber perfluorierten Seitenketten in den Seitenketten der amphiphilen Copolymere die Kompatibilisierung der funktionalisierten Partikel mit einem perfluorierten Polymer gewährleisten.

Optische Experimente zur Untersuchung der Nichtgleichgewichtsdynamik kolloidaler Suspensionen

In der vorliegenden Forschungsarbeit wird die Konkurrenz von Kristallisation und Verglasung in metastabilen kolloidalen Hart-Kugel(HK)-Modellsystemen mit dynamischer und zeitaufgelöster statischer Lichtstreuung untersucht. Durch gleichzeitige Messungen mit beiden Methoden an derselben Probe gelang es, mit hoher Genauigkeit und aussagekräftiger Statistik nachzuweisen, dass in beiden Systemklassen eine starke Korrelation der strukturellen und dynamischen Eigenschaften vorliegt und diese Korrelation zu quantifizieren. Ein zentraler Teil der Arbeit bestand in dem Aufbau einer geeigneten Lichtstreuanlage mit der erstmalig Messungen der Dynamik und der Struktur simultan an derselben nicht-ergodischen Probe durchgeführt werden konnten. Für die dynamische Lichtstreuung wurde ein Flächendetektor (CCD-Kamera) verwendet. In Kombination mit einer speziellen Detektionsoptik ermöglicht dies, die gleichzeitige Detektion von Streulicht aus unterschiedlichen Probenbereichen (Subensembles). Damit kann gleichzeitig die Dynamik in unterschiedlichen Subensembles mit einer Auflösung von 15,8x15,8µm2 untersucht werden. Die Lichtstreuanlage wurde ausführlich charakterisiert und ihre korrekte Funktionsweise mithilfe von Vergleichsmessungen an etablierten Lichtstreuanlagen bestätigt. Die zeitliche Entwicklung der Dynamik und der Struktur von metastabilen Proben wurde unterhalb, am und oberhalb des Glasübergangs quantifiziert. Dabei zeigte das untersuchte kolloidale HK-Modellsystem alle typischen Eigenschaften eines HK-Systems. Die kristallisierenden Proben zeigten das etablierte zweistufige Kristallisationsszenario mit entsprechender Kristallisationskinetik und die Glasproben zeigten das erwartete Alterungsverhalten. Bei dem zweistufigen Kristallisationsszenario kommt es zuerst zur Nukleation einer metastabilen Zwischenphase von sogenannten Precursorn. In einer zweiten Stufe bilden sich Kristallite innerhalb dieser Precursor. Durch Vergleich zwischen kristallisierenden und verglasenden Proben konnte auch während der Verglasung die Bildung von Precursorn beobachtet werden. Die Korrelation zwischen der Anzahl an Precursorn und der Partikeldynamik legt die Vermutung nahe, dass das immer noch unverstandene Phänomen der Alterung von Gläsern mit der Bildung von Precursorn zusammenhängt. Verhinderte Kristallisation führt zu einer starken Verlangsamung der Partikeldynamik. Die Partikeldynamik einer Probe am Glasübergang zeigt, dass die Probe vor Einsetzen der Kristallisation eine glasartige Dynamik aufwies. Dies legt die Vermutung nahe, dass einkomponentige kolloidale HK-Gläser den Gleichgewichtszustand (Kristall) auf langen Zeitskalen erreichen können. Durch die Untersuchung der Partikeldynamik von metastabilen Proben in einzelnen Subensembles konnte eine heterogene Verteilung der Partikeldynamik nachgewiesen werden. Es existieren Bereiche, in denen die Partikeldynamik schneller oder langsamer ist als in anderen Bereichen. Gleichzeitig zeigen die Messungen der strukturellen Eigenschaften, dass metastabile Proben auch heterogen bezüglich ihrer Struktur sind. Mithilfe dieser Messungen konnte die zeitliche Entwicklung des Anteils an langsamen Partikeln und des Anteils an Partikeln innerhalb von Objekten höherer Ordnung (Precursor/Kristallite) bestimmt werden. Es zeigte sich eine direkte Korrelation zwischen dem Anteil an langsamen Partikeln und dem Anteil an Partikeln in Objekten höherer Ordnung. Die Untersuchung der Dynamik und der Struktur in einzelnen Subensembles lieferte einen weiteren Hinweis darauf, dass Subensembles, in denen eine stärker ausgeprägte strukturelle Ordnung vorliegt, auch bevorzugt eine langsamere Partikeldynamik aufweisen.

Shared Rule in Federal Political Systems: Conceptual Lessons from Subnational Switzerland

This article reconceptualizes shared rule and uses novel data to measure it, thus addressing two shortcomings of federal literature. First, while most studies focus on self-rule, one question that is largely neglected is how lower-level governments can influence politics at a higher level in the absence of “second” chambers. The answer is through shared rule. A second shortcoming is that even when addressing this question, scholars concentrate on constitutional-administrative aspects of vertical intergovernmentalism, neglecting more informal, “political” dynamics. Comparing the twenty-six Swiss cantons allows drawing two lessons for federal studies: That shared rule is multifaceted and complex, and that to study informal territorial actors as well as direct political processes is indispensable to understand how power is actually distributed in federal political systems.

Decomposition driven interface evolution for layers of binary mixtures: I. Model dirivation and base states

A dynamical model is proposed to describe the coupled decomposition and profile evolution of a free surfacefilm of a binary mixture. An example is a thin film of a polymer blend on a solid substrate undergoing simultaneous phase separation and dewetting. The model is based on model-H describing the coupled transport of the mass of one component (convective Cahn-Hilliard equation) and momentum (Navier-Stokes-Korteweg equations) supplemented by appropriate boundary conditions at the solid substrate and the free surface. General transport equations are derived using phenomenological nonequilibrium thermodynamics for a general nonisothermal setting taking into account Soret and Dufour effects and interfacial viscosity for the internal diffuse interface between the two components. Focusing on an isothermal setting the resulting model is compared to literature results and its base states corresponding to homogeneous or vertically stratified flat layers are analyzed.

Two-dimensional freezing in the liquid–vapor interface of a dilute Pb:Ga alloy

We report the results of x-ray reflectivity and grazing incidence x-ray diffraction studies of the liquid–vapor interface of a dilute alloy of Pb in Ga over the temperature range of 23–76°C. Our data show that the liquid–vapor interface of this alloy is stratified for several atomic diameters into the bulk liquid and that a monolayer of Pb forms the outermost stratum of the interface. Over the temperature range of 23–56°C, the monolayer of Pb is in an ordered hexagonal phase. At about 58°C, this monolayer undergoes a first-order transition to a hexatic phase, which remains stable to 76°C. An analogy between the observed transition and the first-order melting transition in a one-component classical plasma is suggested.

Fission Yeast Ste9, a Homolog of Hct1/Cdh1 and Fizzy-related, Is a Novel Negative Regulator of Cell Cycle Progression during G1-Phase

When proliferating fission yeast cells are exposed to nitrogen starvation, they initiate conjugation and differentiate into ascospores. Cell cycle arrest in the G1-phase is one of the prerequisites for cell differentiation, because conjugation occurs only in the pre-Start G1-phase. The role of ste9+ in the cell cycle progression was investigated. Ste9 is a WD-repeat protein that is highly homologous to Hct1/Cdh1 and Fizzy-related. The ste9 mutants were sterile because they were defective in cell cycle arrest in the G1-phase upon starvation. Sterility was partially suppressed by the mutation in cig2 that encoded the major G1/S cyclin. Although cells lacking Ste9 function grow normally, the ste9 mutation was synthetically lethal with the wee1 mutation. In the double mutants of ste9 cdc10ts, cells arrested in G1-phase at the restrictive temperature, but the level of mitotic cyclin (Cdc13) did not decrease. In these cells, abortive mitosis occurred from the pre-Start G1-phase. Overexpression of Ste9 decreased the Cdc13 protein level and the H1-histone kinase activity. In these cells, mitosis was inhibited and an extra round of DNA replication occurred. Ste9 regulates G1 progression possibly by controlling the amount of the mitotic cyclin in the G1-phase.

De novo decorin gene expression suppresses the malignant phenotype in human colon cancer cells.

The rapid progress in the cloning of proteoglycan genes has enabled investigators to examine in depth the functional roles these polyhedric molecules play in the control of cell proliferation. Decorin, a leucine-rich proteoglycan expressed by most connective tissues, is a prototype molecule that regulates cellular growth via two mechanisms: modulation of growth factor activity and matrix assembly. We now provide direct evidence that human colon cancer cells stably transfected with decorin cDNA exhibit a marked suppression of the transformed phenotype: the cells have a reduced growth rate in vitro, form small colonies in soft agar, and do not generate tumors in scid/scid mice. Several independent clones are arrested in the G1 phase of the cell cycle, and their growth suppression can be restored by treatment with decorin antisense oligodeoxynucleotides. These effects are independent of growth factors and are not due to either clonal selection or integration site of the decorin gene. These findings correlate well with the observation that decorin gene expression is markedly up-regulated during quiescence. Decorin thus appears to be one component of a negative loop that controls cell growth.

Phase relationships in selected binary and ternary vanadium-base alloys systems

"Materials Laboratory, Contract No. AF33(616)-5771, Project No. 7021."

Impact of Australia's Better Outcomes in Mental Health Care program on psychologists

The aim of this paper was to consider the impact on psychologists of one component of the Australian Government's Better Outcomes in Mental Health Care (BOiMHC) program, namely the Access to Allied Psychological Services (ATAPS) component. This supports psychologists and general practitioners (GPs) to work together to provide optimal mental health care, via 102 projects being conducted by Divisions of General Practice. The paper was informed by data from five sources: a project-based minimum dataset; local project evaluation reports; a forum; a survey of projects: and a survey of Australian Psychological Society (APS) members. Taken together, the data from these sources showed that a significant number of psychologists are providing services through the projects, and the majority are finding it a positive and professionally rewarding experience. There is considerable variability regarding models of retaining, locating and referring to psychologists, and there are pros and cons associated with each. The major problem identified by psychologists is the level of remuneration. BOiMHC is currently moving into a new phase of continuation and expansion, and consideration was given to whether the data point to any changes that could be made to the ATAPS projects during this period of transition. In the main, the data suggest that the status quo should be retained, but the issue of remuneration must be addressed.

The role of texture amplitude in shape from shading

When a textured surface is modulated in depth and illuminated, parts of the surface receive different levels of illumination; the resulting variations in luminance can be used to infer the shape of the depth modulations-shape from shading. The changes in illumination also produce changes in the amplitude of the texture, although local contrast remains constant. We investigated the role of texture amplitude in supporting shape from shading. If a luminance plaid is added to a binary noise texture (LM), shape from shading produces perception of corrugations in two directions. If the amplitude of the noise is also modulated (AM) such that it is in-phase with one of the luminance sinusoids and out-of-phase with the other, the resulting surface is seen as corrugated in only one directionöthat supported by the in-phase pairing. We confirmed this subjective report experimentally, using a depth-mapping technique. Further, we asked naïve observers to indicate the direction of corrugations in plaids made up of various combinations of LM and AM. LM+AM was seen as having most depth, then LM-only, then LM-AM, and then AM-only. Our results suggest that while LM is required to see depth from shading, its phase relative to any AM component is also important.

Spiral mechanisms are required to account for summation of complex motion components

Stimuli from one family of complex motions are defined by their spiral pitch, where cardinal axes represent signed expansion and rotation. Intermediate spirals are represented by intermediate pitches. It is well established that vision contains mechanisms that sum over space and direction to detect these stimuli (Morrone et al., Nature 376 (1995) 507) and one possibility is that four cardinal mechanisms encode the entire family. We extended earlier work (Meese & Harris, Vision Research 41 (2001) 1901) using subthreshold summation of random dot kinematograms and a two-interval forced choice technique to investigate this possibility. In our main experiments, the spiral pitch of one component was fixed and that of another was varied in steps of 15° relative to the first. Regardless of whether the fixed component was aligned with cardinal axes or an intermediate spiral, summation to-coherence-threshold between the two components declined as a function of their difference in spiral pitch. Similar experiments showed that none of the following were critical design features or stimulus parameters for our results: superposition of signal dots, limited life-time dots, the presence of speed gradients, stimulus size or the number of dots. A simplex algorithm was used to fit models containing mechanisms spaced at a pitch of either 90° (cardinal model) or 45° (cardinal+model) and combined using a fourth-root summation rule. For both models, direction half-bandwidth was equated for all mechanisms and was the only free parameter. Only the cardinal+model could account for the full set of results. We conclude that the detection of complex motion in human vision requires both cardinal and spiral mechanisms with a half-bandwidth of approximately 46°. © 2002 Elsevier Science Ltd. All rights reserved.

The effect of flow regimes in the distillation of systems containing two liquid phases

Single phase solutions containing three components have been observed to exhibit foaminess near a single to two liquid phase boundary. It was seen, in a sintered plate column under mass transfer conditions, that distillation systems where the liquid appeared as one phase in one part of a column and two phases in another part, exhibited foaminess when the liquid concentration was near the one phase to two phase boundary. Various ternary systems have been studied in a 50 plate. 30mm i.d. Oldershaw column and it was observed that severe foaming occurred in the middle section of the column near the one liquid phase to two liquid phase boundary and no foaming occurred at the end of the column where liquid was either one phase or two phase. This is known as Ross type foam. Mass transfer experiments with Ross type ternary systems have been carried out in a perspex simulator with small and large hole diameter trays. It was observed that by removal of the more volatile component, Ross type foam did not build up on the tray. Severe entrainment of liquid was observed in all cases leading to a 'dry' tray, even with a low free area small diameter hole tray which was expected to produce a bubbly mixture. Entrainment was more severe for high gas superficial velocities and large hole diameters. This behaviour is quite different from the build up of foam observed when one liquid phase/two liquid phase Ross systems were contacted with air above a small sintered disc or with vapour in an Oldershaw distillation column. This observation explains why distillation columns processing mixtures which change from one liquid phase to two liquid phases (or vice versa) must be severely derated to avoid flooding. Single liquid phase holdups at the spray to bubbly transition were measured using a perspex simulator similar to that of Porter & Wong (17). i.e. with no liquid cross flow. A light transmission technique was used to measure the transition from spray regime to bubbly regime. The effect of tray thickness and the ratio of hole diameter to tray thickness on the transition was evaluated using trays of the same hole diameter and free area but having thickness of 2.38 mm, 4 mm, and 6.35 mm. The liquid holdup at the transition was less with the thin metal trays. This result may be interpreted by the theory of Lockett (101), which predicts the transition liquid holdup in terms of the angle of the gas iet leaving the holes in the sieve plate. All the existing correlations have been compared and none were found to be satisfactory and these correlations have been modified in view of the experimental results obtained. A new correlation has been proposed which takes into account the effect of the hole diameter to tray thickness ratio on the transition and good agreement was obtained between the experimental results and the correlated values of the liquid holdup at the transition. Results have been obtained for two immiscible liquids [kerosene and water] on trays to determine whether foaming can be eliminated by operating in the spray regime. Kerosene was added to a fixed volume of water or water was added to a fixed volume of kerosene. In both cases, there was a transition from spray to bubbly. In the water fixed system. the liquid holdup at the transition was slightly less than the pure kerosene system. Whilst for the kerosene fixed system, the transition occurred at much lower liquid holdups. Trends In the results were similar to those for single liquid phase. New correlations have been proposed for the two cases. It has been found that Ross type foams, observed in a sintered plate column and in the Oldershaw column can be eliminated by either carrying out the separation in a packed column or by the addition of defoaming additives.

Joint-specific changes in locomotor complexity in the absence of muscle atrophy following incomplete spinal cord injury

ackground Following incomplete spinal cord injury (iSCI), descending drive is impaired, possibly leading to a decrease in the complexity of gait. To test the hypothesis that iSCI impairs gait coordination and decreases locomotor complexity, we collected 3D joint angle kinematics and muscle parameters of rats with a sham or an incomplete spinal cord injury. Methods 12 adult, female, Long-Evans rats, 6 sham and 6 mild-moderate T8 iSCI, were tested 4 weeks following injury. The Basso Beattie Bresnahan locomotor score was used to verify injury severity. Animals had reflective markers placed on the bony prominences of their limb joints and were filmed in 3D while walking on a treadmill. Joint angles and segment motion were analyzed quantitatively, and complexity of joint angle trajectory and overall gait were calculated using permutation entropy and principal component analysis, respectively. Following treadmill testing, the animals were euthanized and hindlimb muscles removed. Excised muscles were tested for mass, density, fiber length, pennation angle, and relaxed sarcomere length. Results Muscle parameters were similar between groups with no evidence of muscle atrophy. The animals showed overextension of the ankle, which was compensated for by a decreased range of motion at the knee. Left-right coordination was altered, leading to left and right knee movements that are entirely out of phase, with one joint moving while the other is stationary. Movement patterns remained symmetric. Permutation entropy measures indicated changes in complexity on a joint specific basis, with the largest changes at the ankle. No significant difference was seen using principal component analysis. Rats were able to achieve stable weight bearing locomotion at reasonable speeds on the treadmill despite these deficiencies. Conclusions Decrease in supraspinal control following iSCI causes a loss of complexity of ankle kinematics. This loss can be entirely due to loss of supraspinal control in the absence of muscle atrophy and may be quantified using permutation entropy. Joint-specific differences in kinematic complexity may be attributed to different sources of motor control. This work indicates the importance of the ankle for rehabilitation interventions following spinal cord injury.

Evaporation maps for ternary non-ideal liquid mixtures

This thesis deals with the evaporation of non-ideal liquid mixtures using a multicomponent mass transfer approach. It develops the concept of evaporation maps as a convenient way of representing the dynamic composition changes of ternary mixtures during an evaporation process. Evaporation maps represent the residual composition of evaporating ternary non-ideal mixtures over the full range of composition, and are analogous to the commonly-used residue curve maps of simple distillation processes. The evaporation process initially considered in this work involves gas-phase limited evaporation from a liquid or wetted-solid surface, over which a gas flows at known conditions. Evaporation may occur into a pure inert gas, or into one pre-loaded with a known fraction of one of the ternary components. To explore multicomponent masstransfer effects, a model is developed that uses an exact solution to the Maxwell-Stefan equations for mass transfer in the gas film, with a lumped approach applied to the liquid phase. Solutions to the evaporation model take the form of trajectories in temperaturecomposition space, which are then projected onto a ternary diagram to form the map. Novel algorithms are developed for computation of pseudo-azeotropes in the evaporating mixture, and for calculation of the multicomponent wet-bulb temperature at a given liquid composition. A numerical continuation method is used to track the bifurcations which occur in the evaporation maps, where the composition of one component of the pre-loaded gas is the bifurcation parameter. The bifurcation diagrams can in principle be used to determine the required gas composition to produce a specific terminal composition in the liquid. A simple homotopy method is developed to track the locations of the various possible pseudo-azeotropes in the mixture. The stability of pseudo-azeotropes in the gas-phase limited case is examined using a linearized analysis of the governing equations. Algorithms for the calculation of separation boundaries in the evaporation maps are developed using an optimization-based method, as well as a method employing eigenvectors derived from the linearized analysis. The flexure of the wet-bulb temperature surface is explored, and it is shown how evaporation trajectories cross ridges and valleys, so that ridges and valleys of the surface do not coincide with separation boundaries. Finally, the assumption of gas-phase limited mass transfer is relaxed, by employing a model that includes diffusion in the liquid phase. A finite-volume method is used to solve the system of partial differential equations that results. The evaporation trajectories for the distributed model reduce to those of the lumped (gas-phase limited) model as the diffusivity in the liquid increases; under the same gas-phase conditions the permissible terminal compositions of the distributed and lumped models are the same.