Substantial Inhomogeneities Research Articles

Understanding the Role of Cesium on Chemical Complexity in Methylammonium‐Free Metal Halide Perovskites

AbstractMixed cesium‐ and formamidinium‐based metal halide perovskites (MHPs) are emerging as ideal photovoltaic materials due to their promising performance and improved stability. While theoretical predictions suggest that a larger composition ratio of Cs (≈30%) aids the formation of a pure photoactive α‐phase, high photovoltaic performances can only be realized in MHPs with moderate Cs ratios. In fact, elemental mixing in a solution can result in chemical complexities with non‐equilibrium phases, causing chemical inhomogeneities localized in the MHPs that are not traceable with global device‐level measurements. Thus, the chemical origin of the complexities and understanding of their effect on stability and functionality remain elusive. Herein, through spatially resolved analyses, the fate of local chemical structures, particularly the evolution pathway of non‐equilibrium phases and the resulting local inhomogeneities in MHPs is comprehensively explored. It is shown that Cs‐rich MHPs have substantial local inhomogeneities at the initial crystallization step, which do not fully convert to the α‐phase and thereby compromise the optoelectronic performance of the materials. These fundamental observations allow the authors to draw a complete chemical landscape of MHPs including nanoscale chemical mechanisms, providing indispensable insights into the realization of a functional materials platform.

EPI distortion correction for concurrent human brain stimulation and imaging at 3T

BackgroundTranscranial magnetic stimulation (TMS) can be paired with functional magnetic resonance imaging (fMRI) in concurrent TMS-fMRI experiments. These multimodal experiments enable causal probing of network architecture in the human brain which can complement alternative network mapping approaches. Critically, merely introducing the TMS coil into the scanner environment can sometimes produce substantial magnetic field inhomogeneities and spatial distortions which limit the utility of concurrent TMS-fMRI. Method and resultsWe assessed the efficacy of point spread function corrected echo planar imaging (PSF-EPI) in correcting for the field inhomogeneities associated with a TMS coil at 3 T. In phantom and brain scans, we quantitatively compared the coil-induced distortion artifacts measured in EPI scans with and without PSF correction. We found that the application of PSF corrections to the EPI data significantly improved signal-to-noise and reduced distortions. In phantom scans with the PSF-EPI sequence, we also characterized the temporal profile of dynamic artifacts associated with TMS delivery and found that image quality remained high as long as the TMS pulse preceded the RF excitation pulses by at least 50 ms. Lastly, we validated the PSF-EPI sequence in human brain scans involving TMS and motor behavior as well as resting state fMRI scans. ConclusionsOur collective results demonstrate the potential benefits of PSF-EPI for concurrent TMS-fMRI when coil-related artifacts are a concern. The ability to collect high quality resting state fMRI data in the same session as the concurrent TMS-fMRI experiment offers a unique opportunity to interrogate network architecture in the human brain.

An assessment of recent global atmospheric reanalyses for Antarctic near surface air temperature

The quality-controlled monthly air temperature records from 32 manned stations and 10 automatic weather stations are used to assess the performance of Climate Forecast System Reanalysis (CFSR), the ECMWF “Interim” reanalysis (ERA-Interim), the Japan Meteorological Agency 55-year Reanalysis (JRA-55), the Modern-Era Retrospective Analysis for Research and Applications 2 (MERRA-2), and four twentieth century reanalysis data sets (20CR, ERA-20C, CERA-20C and ERA-20CM). The performance of the datasets for Antarctic air temperature differs on different time scales and with glaciological regime. In general, these datasets have higher mean absolute error (MAE) in the winter months and lower MAE in the summer months. Overall, MERRA-2 presents highest performance for monthly air temperature values, with MAE <2 °C at any month. ERA-Interim best represents the inter-annual variability in monthly air temperature for the 1979–2010 period. In the 20th century datasets, changes in temperature prior to 1979 are more uncertain than variability after 1979. Furthermore, substantial inhomogeneities occur in the 20th century datasets, and as a result, their temperature trends are found to be largely spurious.

Correlation of crosslink densities using solid state NMR and conventional techniques in peroxide-crosslinked EPDM rubber

Peroxide-crosslinked ethylene propylene diene terpolymer (EPDM) elastomer samples were prepared with various types and concentrations of peroxide, with and without co-agent. The variation of crosslink density, the spatial distribution of the crosslinks in the network and the presence of network defects in EPDM rubber were investigated on a molecular level using proton low-field solid-state double-quantum (DQ) NMR spectroscopy. The results reveal that types and concentrations of peroxides do not affect the overall rather inhomogeneous spatial distribution of the crosslinks, but do affect significantly the average crosslink density. The introduction of a co-agent leads to higher crosslink densities and increased levels of spatial crosslinking inhomogeneity as well as non-elastic defects. Apparent crosslink densities as measured by DQ NMR, solvent swelling, linear and non-linear stress-strain measurements (Mooney–Rivlin analysis), and the curemeter, are correlated and discussed. While most of the results can be interpreted consistently and in agreement with the usual assumptions concerning the effect of (trapped) entanglements, a previously unnoticed, decisively non-linear correlation of the NMR results with the linear-regime modulus indicates a large influence of the substantial crosslinking inhomogeneities on the mechanical behaviour. Also, the data suggest a rather efficient trapping of entanglements, possibly because of reduced chain slippage due to the bulky norbornene comonomers.

Long-Range Diffusion in Xylitol–Water Mixtures

Dynamic light scattering (DLS) and small-angle neutron scattering (SANS) were employed to study mixtures of xylitol and water. The results were also related to a previous dielectric relaxation study on the same system. In the temperature range of the DLS measurements the viscosity related structural (α) relaxation is too fast to be observed on the experimental time scale, but a considerably slower exponential and hydrodynamic relaxation process is clearly observable in the polarized light scattering data. A similar ultraslow process has been observed in many other types of binary liquids and commonly assigned to long-range concentration or density fluctuations. In some studies this interpretation has been supported by observations of substantial structural inhomogeneities in static light scattering or SANS experiments. However, in this study we observe such an ultraslow process without any indication of structural inhomogeneities on length-scales above 2 nm. Hence, we suggest that our observed ultraslow process is due to long-range diffusion of single xylitol molecules or small clusters of a few xylitol molecules (and perhaps some associated water molecules) which are randomly dispersed and sufficiently small to not be structurally detected in our SANS study. In the q-range of the DLS measurements this ultraslow relaxation process is around room temperature several orders of magnitude slower than the structural α-relaxation. However, if its 1/q(2)-dependent relaxation time is extrapolated to q-values where relaxation times from dielectric spectroscopy and quasielastic neutron scattering are compatible (about 10 nm(-1)), a relaxation time similar to that of the dielectric α-relaxation is obtained. Thus, the large difference in time scale between the two relaxation processes in the q-range of a DLS study is due to the fact that the α-relaxation is cooperative in nature, rather than caused by long-range single particle diffusion, and thus q-independent at low q-values.

Inconsistencies between Long-Term Trends in Storminess Derived from the 20CR Reanalysis and Observations

Abstract Global atmospheric reanalyses have become a common tool for both validation of climate models and diagnostic studies, such as assessing climate variability and long-term trends. Presently, the Twentieth Century Reanalysis (20CR), which assimilates only surface pressure reports, sea ice, and sea surface temperature distributions, represents the longest global reanalysis dataset available covering the period from 1871 to the present. Currently the 20CR dataset is extensively used for the assessment of climate variability and trends. Here, the authors compare the variability and long-term trends in northeast Atlantic storminess derived from 20CR and from observations. A well-established storm index derived from pressure observations over a relatively densely monitored marine area is used. It is found that both variability and long-term trends derived from 20CR and from observations are inconsistent. In particular, both time series show opposing trends during the first half of the twentieth century: both storm indices share a similar behavior only for the more recent periods. While the variability and long-term trend derived from the observations are supported by a number of independent data and analyses, the behavior shown by 20CR is quite different, indicating substantial inhomogeneities in the reanalysis, most likely caused by the increasing number of observations assimilated into 20CR over time. The latter makes 20CR likely unsuitable for the identification of trends in storminess in the earlier part of the record, at least over the northeast Atlantic. The results imply and reconfirm previous findings that care is needed in general when global reanalyses are used to assess long-term changes.

Wie differenziert und vergütet das G-DRG-System bei vitreoretinalen Eingriffen an Diabetikern?

The German DRG system (G-DRG system) is required to assign medical cases with similar costs correctly into a particular group, each case within the group receiving the same amount of reimbursement. At the same time the system should allow all-inclusive reimbursement, not necessarily reflecting the exact costs of each case. These opposite goals and the so far limited calculation basis raise the question of how the G-DRG system actually processes and reimburses empirically collected in-hospital treatment data. In 2005, 112 patients were admitted to the University Eye Hospital, University of the Saarland. All patients had diabetic retinopathy and required at least one vitreoretinal procedure. Demographic and clinical data were collected by using the hospital information system and the coding software KODIP. For statistic evaluation, principal diagnoses, ancillary diagnoses and procedures were each reassigned to particular groups. Reimbursement was calculated based on the case data of the year 2005. Also, the case data were reassigned with respect to calculation of reimbursement for the years 2006 and 2007. The results were compared with federal G-DRG calculation data. Mean age of the patients was 65.8 +/- 11.1 years, length of stay in-hospital was 9.3 +/- 3.2 days. In the 66 patients requiring general anaesthesia the cumulative length of stay in the operation room was 148.4 +/- 39.5 minutes, the cumulative duration of surgery was 86.3 +/- 34.1 minutes. In the 50 patients requiring local anaesthesia the cumulative length of stay in the operation room was 137.8 +/- 51.8 minutes, the cumulative duration of surgery was 81.6 +/- 43.6 minutes. The patients had 1.9 +/- 0.8 principal diagnoses, 14.4 +/- 5.8 ancillary diagnoses and 3.4 +/- 1.6 procedures. Twenty-five of 112 patients (22.3 %) were assigned to DRG C 03Z (1), 82 of 112 patients (73.2 %) were assigned to DRG C 17Z (2). Five patients were assigned to other DRG. Compared with the federal calculation data, our own data for 2005, 2006 and 2007 showed more high primary clinical complexity levels and a longer duration of in-hospital stay. For each of the three years the amount of reimbursement was equal in about two thirds of the own patients. Reimbursement was only differentiated for outliers beyond the trim point of the duration of in-hospital stay. The demographic and clinical G-DRG data of the included patients showed substantial cost-effective inhomogeneities. These inhomogeneities were not sufficiently considered for reimbursement based upon Z-DRG. Specialised departments with higher numbers of difficult cases may be discriminated. Wrong incentives may result in the selection of "low-risk cases".

Spectroscopic imaging from spatially-encoded single-scan multidimensional MRI data

We have recently proposed a protocol for retrieving multidimensional magnetic resonance images within a single scan, based on a spatial encoding of the spin interactions. This methodology relies on progressively dephasing spin coherences throughout a sample; for instance, by sweeping a radiofrequency pulse in the presence of a magnetic field gradient. When spins are suitably refocused by a second (acquisition) field gradient, this yields a time-domain signal reflecting in its magnitude the spatial distribution of spins throughout the sample. It is hereby shown that whereas the absolute value of the resulting signals conveys such imaging information, the hitherto unutilized phase modulation of the signal encodes the chemical shift offsets of the present speciae. Spectroscopically-resolved multidimensional images can thereby be retrieved in this fashion at no additional expense in either experimental complexity, sensitivity or acquisition time—simply by performing an additional analysis of the collected data. The resulting approach to single-scan spectroscopic imaging can also incorporate “RF shimming” compensating abilities, capable of providing high-resolution spectral and high-definition imaging data even under the presence of substantial magnetic field inhomogeneities. The principles of these methodologies as applied to spectroscopic imaging are briefly reviewed and compared against the background of traditional Fourier-based single-scan spectroscopic imaging protocols. Demonstrations of these new multidimensional spectroscopic MRI experiments on simple phantoms are also given.

Adjuvant Chemoradiotherapy for Gastric Carcinoma: Dosimetric Implications of Conventional Gastric Bed Irradiation and Toxicity

Aims Recently, a survival advantage has been shown using adjuvant chemoradiotherapy after complete resection of gastric cancer. If survival advantages are to be maintained, treatment-related complications must be minimised. In this study, we explored the dosimetric implications and toxicity of conventional large field gastric bed irradiation. Materials and methods Between 2000 and 2002, 16 patients received adjuvant 5-fluorouracil (5-FU) chemoradiotherapy after complete resection of gastric cancer. Radiotherapy was simulator planned using anterior–posterior parallel opposed fields to 45 Gy in 25 daily fractions over 5 weeks. Results Thirteen patients (81%) completed radiotherapy and eight patients (50%) completed chemotherapy as planned. Toxicity was the main factor for discontinuation. Substantial dose inhomogeneities were shown using retrospective computed tomography recreation of dose–volume histograms (DVHs) of the organs at risk. Conclusions Although the delivery of chemoradiotherapy using conventional two-dimensional simulator planning is a feasible technique, significant under-appreciation of dose inhomogeneity exists. Conformal computed tomography planning is vital to document doses received by organs at risk, especially the spinal cord and kidneys, which may receive high doses, and prospectively correlate these with acute and long-term toxicity in order to redefine organ at risk tolerances in the setting of chemoradiation.

Gravitino production by primordial black hole evaporation and constraints on the inhomogeneity of the early universe

In supergravity models, the evaporation of light primordial black holes should be a source of gravitinos. By considering this process, new stringent limits are derived on the abundance of small black holes with initial masses less than 109 g. In minimal supergravity, the subsequent decay of evaporated gravitinos into cascades of non-equilibrium particles leads to the formation of elements whose abundance is constrained by observations. In gauge mediated supersymmetry breaking models, their density is required not to overclose the universe. As a result, cosmological models with substantial inhomogeneities on small scales are excluded.

Controlling interface reactivity and Schottky barrier height in Au∕ZnSe(001) junctions

Transport studies of patterned Au∕ZnSe(001) contacts fabricated by molecular beam epitaxy reveal substantial lateral inhomogeneities in the Schottky barrier height. The x-ray photoemission results provide evidence of chemical reactions at a number of preferential surface sites. Incorporation of ultrathin Zn interlayers between the ZnSe substrate and the Au overlayer decreases the value of the n-type Schottky barrier height from 1.62to1.05eV and eliminates all evidence of lateral inhomogeneities in the barrier height. The interlayer-induced Schottky barrier tunability is found to be primarily limited by Zn–Au alloying within the overlayer.

Spectroscopic detection of carbon nanotube interaction with amphiphilic molecules in epoxy resin composites

Incorporation of carbon nanotubes into epoxy resin composites has the effect of increasing electrical conductivity at low percolation levels. An amphiphilic molecule such as palmitic acid has been used to increase the surface contact area and to improve the dispersion of the carbon nanotube bundles in the prepolymer. The chemical environment of the dispersed nanotubes has been probed using vibrational Raman spectroscopy. Spectroscopic Raman maps on sample surfaces (60×60μm2) with ratios of nanotubes to palmitic acid varying from 1:2 to 2:1 by weight, have been recorded to test the uniformity of the dispersion. Substantial spatial inhomogeneities have been observed in the G-band shift and an additional spectral band at 1450cm−1. The 1450cm−1 band has been attributed to the CH3 group of the amphiphilic molecules adsorbed onto the nanotube surface. The maps are correlated with the measured electrical conductivity values. The highest conductivity has been observed for the best dispersed nanotubes and nanotubes with the highest degree of interaction.

Meteorological assessment of the surface temperatures on Titan: constraints on the surface type

The latitudinal profile of near-surface air temperature on Titan retrieved by Voyager 1 has been difficult to understand and raised several speculations about possible exotic processes that might be occurring near Titan's surface, while the thermal properties of the surface itself are unknown. This study systematically investigates the seasonal and spatial variation of the surface temperature and air temperature in the lower troposphere by a 3-dimensional general circulation model for different putative surface types (porous icy regolith, rock–ice mixture, hydrocarbon lakes). For any viable surface type the surface temperature is unlikely to be constant through the year and should more or less vary seasonally and even diurnally, most likely by a few K. Recent observations of tropospheric clouds may be evidence of seasonal variation of the surface temperature and the model predicts in the case of solid surface the development of a convective layer with superadiabatic lapse rates near the surface exactly at those latitudes and seasons where clouds have been identified. The latitudinal profile of the surface temperature retrieved from Voyager 1 infrared spectra can be explained without invoking exotic effects, provided the thermal inertia of the surface is relatively small and/or the surface albedo is low. A dominance of water ice (high thermal inertia and high albedo) at the surface is unfavorable to reproduce the observation. The latitudinal gradient of the surface temperature is particularly large at the hydrocarbon lake surface due to low albedo and small surface drag. Local anomalies of the surface albedo or surface thermal inertia are likely to cause substantial inhomogeneities of the surface temperature. Quasi-permanent accumulation of stratospheric haze at both poles would create a perennial equator-to-pole contrast of the surface temperature, but also a substantially lower global-mean surface temperature due to an enhanced anti-greenhouse effect in summer. The air temperature in the lower troposphere exhibits a tiny latitudinal gradient and a pole-to-pole gradient due to the presence of a pole-to-pole Hadley circulation, indicating that the temperature within the planetary boundary layer may exhibit a vertical profile characteristic of season, location and scenario. There may be a shallow near-surface inversion layer in cold seasons and a shallow convective layer in warm seasons.

A dynamic supraclavicular field-matching technique for head-and-neck cancer patients treated with IMRT

A dynamic supraclavicular field-matching technique for head-and-neck cancer patients treated with IMRT

A dynamic supraclavicular field-matching technique for head-and-neck cancer patients treated with IMRT.

The conventional single-isocenter and half-beam (SIHB) technique for matching supraclavicular fields with head-and-neck (HN) intensity-modulated radiotherapy (IMRT) fields is subject to substantial dose inhomogeneities from imperfect accelerator jaw/MLC calibration. It also limits the isocenter location and restricts the useful field size for IMRT. We propose a dynamic field-matching technique to overcome these limitations. The proposed dynamic field-matching technique makes use of wedge junctions for the abutment of supraclavicular and HN IMRT fields. The supraclavicular field was shaped with a multileaf collimator (MLC), which was orientated such that the leaves traveled along the superoinferior direction. The leaves that defined the superior field border moved continuously during treatment from 1.5 cm below to 1.5 cm above the conventional match line to generate a 3-cm-wide wedge-shaped junction. The HN IMRT fields were optimized by taking into account the dose contribution from the supraclavicular field to the junction area, which generates a complementary wedge to produce a smooth junction in the abutment region. This technique was evaluated on a polystyrene phantom and 10 HN cancer patients. Treatment plans were generated for the phantom and the 10 patients. Dose profiles across the abutment region were measured in the phantom on films. For patient plans, dose profiles that passed through the center of the neck lymph nodes were calculated using the proposed technique and the SIHB technique, and dose uniformity in the abutment region was compared. Field mismatches of +/- 1 mm and +/- 2 mm because of imperfect jaw/MLC calibration were simulated, and the resulting dose inhomogeneities were studied for the two techniques with film measurements and patient plans. Three-dimensional volumetric doses were analyzed, and equivalent uniform doses (EUD) were computed. The effect of field mismatches on EUD was compared for the two match techniques. For a perfect jaw/MLC calibration, dose profiles for the 10 patients in the 3-cm match zone had an average inhomogeneity range of -1.6% to +1.6% using the dynamic-matching technique and -3.7% to +3.8% according to the SIHB technique. Measurements showed that dose inhomogeneities that resulted from 1-mm and 2-mm jaw/MLC calibration errors were reduced from as large as 27% and 45% with the SIHB technique to less than 2% and 5.7% with the dynamic technique, respectively. For -1-mm, -2-mm, +1-mm, and +2-mm jaw/MLC calibration errors, respectively, treatment plans for the 10 patients yielded average dose inhomogeneities of -5.9%, -3.0%, +2.7%, and +5.8% with the dynamic technique as compared to -22.8%, -11.1%, +9.8%, and +22.1% with the SIHB technique. Calculation based on a dose-volume histogram (DVH) showed that the SIHB technique resulted in larger changes in EUD of the PTV in the junction area than did the dynamic technique. Compared with the conventional SIHB technique, the dynamic field-matching technique provides superior dose homogeneity in the abutment region between the supraclavicular and HN IMRT fields. The dynamic feathering mechanism substantially reduces dose inhomogeneities that result from imperfect jaw/MLC calibration. In addition, isocenter location in the dynamic field-matching technique can be chosen for reproducible patient setup and for adequate IMRT field size rather than being dictated by the match position. It also allows angling of the supraclavicular field to reduce the volume of healthy lung irradiated, which is impractical with the SIHB technique. In principle, this technique should be applicable to any treatment site that requires the abutment of static and intensity-modulated fields.

Predicting Substructure in CDM Haloes

Observations of multiple-image gravitational lens systems suggest that the projected mass distributions of galaxy haloes may contain substantial inhomogeneities. The fraction of the halo mass in dense substructure is still highly uncertain, but could be as large as a few percent. While halo substructure is seen in numerical simulations of CDM haloes, little of this substructure survives in the innermost regions of haloes, and thus the observational claims for substructure at small projected radii are slightly surprising. There is evidence, however, that even the highest-resolution simulations published to-date are still limited by numerical effects that heat and disrupt substructure artificially in high-density regions. By comparing numerical and semi-analytic (SA) models of halo substructure, we show that current simulations probably underestimate the mass fraction in substructure at small projected radii, by a factor of at least 2–3. We discuss the prospects for using lensing observations as a fundamental test of the nature of dark matter.To search for other articles by the author(s) go to: http://adsabs.harvard.edu/abstract_service.html

Three-dimensional numerical simulations of susceptibility-induced magnetic field inhomogeneities in the human head

Three-dimensional numerical simulations of the static magnetic field in the human head were carried out to assess the field inhomogeneity due to magnetic susceptibility differences at tissue interfaces. We used a finite difference method and magnetic permeability distributions obtained by segmentation of computed tomography images. Computations were carried out for four models, consisting of the head and the neck; the head, neck, and shoulders; the head, neck, and thorax; and the head tilted backwards, including the neck and the shoulders. Considerable magnetic field inhomogeneities were observed in the inferior frontal lobes and inferior temporal lobes, particularly near the sphenoid sinus and the temporal bones. Air/tissue interfaces at the shoulders were found to induce substantial magnetic field inhomogeneities in the occipital lobes and the cerebellum, whereas air/tissue interfaces in the lungs appeared to have less influence on the magnetic field in the brain. Tilting the head backwards could significantly reduce the field inhomogeneities superior to the planum sphenoidale as well as in the occipital lobes and the cerebellum.

Multimode oscillation of a cw unstable-cavity CO2 laser with a nonstationary active medium

A method of analysis of lasing at several transverse modes in a nonstationary active medium with substantial optical inhomogeneities is developed. It is based on the assumption that the round-trip transit time for radiation in the resonator is much shorter than the characteristic time of a change in the spatial distributions of the gain and refractive index. The nonstationary oscillation of a transverse-flow CO2 laser is analysed by this method in a two-dimensional approximation in the case when the vibrational excitation of an active medium at the cavity input changes in time and phase distortions move.

Some Regularities of Heat and Mass Transfer in the Case of Fire Within a Building

Results of a numerical investigation of heat and mass transfer at the initial stage of fire within a building in combustion of kerosene, carried out with the use of a three-dimensional mathematical field model, are presented. A comparison of the distribution of the averaged temperatures and velocities along the vertical axis of the convective column and of the mass rates of gas flows through an open opening with the experimental data has been made. Substantial three-dimensional inhomogeneities of the velocities and the temperatures in the near-ceiling layer have been revealed. It has been established that near the opening there is a critical separation zone which influences significantly the parameters of natural gas transfer.

Fitting tumor control probability models to biopsy outcome after three-dimensional conformal radiation therapy of prostate cancer: pitfalls in deducing radiobiologic parameters for tumors from clinical data

Purpose: The goal of tumor control probability (TCP) models is to predict local control for inhomogeneous dose distributions. All existing fits of TCP models to clinical data have utilized summaries of dose distributions (e.g., prescription dose). Ideally, model fits should be based on dose distributions in the tumor, but usually only dose-volume histograms (DVH) of the planning target volume (PTV) are available. We fit TCP models to biopsy outcome after three-dimensional conformal radiation therapy of prostate cancer using either a dose distribution summary or the full DVH in the PTV. We discuss differences in the radiobiologic parameters and dose-response curves and demonstrate pitfalls in interpreting the results.Methods and Material: Two mechanistic TCP models were fit with a maximum likelihood technique to biopsy outcome from 103 prostate patients treated at Memorial Sloan-Kettering Cancer Center. Fits were performed separately for different patient subgroups defined by tumor-related prognostic factors. Fits were based both on full DVHs, denoted TCP(DVHcalc), and, alternatively, assuming a homogeneous PTV dose given by the mean dose (Dmean) of each DVH, denoted TCP(Dmeancalc). Dose distributions for these patients were very homogeneous with any cold spots located on the periphery of the PTV. These cold spots were uncorrelated with biopsy outcome, likely because the low-dose regions may not contain tumor cells. Therefore, fits of TCP models that are potentially sensitive to cold spots (e.g., TCP(DVHcalc)) likely give biologic parameters that diminish this sensitivity. In light of this, we examined differences in fitted clonogenic cell number, NC, or density, ρC, surviving fraction after 2 Gy, SF2, or radiosensitivity, α, and their standard deviations in the population, σ(SF2) and σ(α), resulting from fits based on TCP(DVHcalc) and TCP(Dmeancalc). Dose-response curves for homogeneous irradiation (characterized by TCD50, the dose for a TCP of 50%) and differences in TCP predictions calculated from the DVH using alternatively derived parameters were evaluated.Results: Fits of TCP(Dmeancalc) are better (i.e., have larger likelihood) than fits of TCP(DVHcalc). For TCP(Dmeancalc) fits, matching values of SF2 and σ(SF2) (or α and σ(α)) exist for all NC (ρC) above a threshold that give fits of equal quality, with no maximum in likelihood. In contrast, TCP(DVHcalc) fits have maximum likelihood for high SF2 (low α) values that minimize effects of cold spots. Consequently, small NC (ρC) values are obtained to match the observed control rate. For example, for patients in low-, intermediate-, and high-risk groups, optimum values of SF2 and NC are 0.771 and 3.3 × 103, 0.736 and 2.2 × 104, and 0.776 and 1.0 × 104, respectively. The TCD50 of dose-response curves for intermediate-risk patients is 2.6 Gy lower using TCP(DVHcalc) parameters (TCD50 = 67.8 Gy) than for TCP(Dmeancalc) parameters (TCD50 = 70.4 Gy). TCP predictions calculated from the DVH using risk group-dependent TCP(Dmeancalc) parameters are up to 53% lower than corresponding calculations with TCP(DVHcalc) parameters.Conclusions: For our data, TCP parameters derived from DVHs likely do not reflect true radiobiologic parameters in the tumor, but are a consequence of the reduced importance of low-dose regions at the periphery of the PTV. Deriving radiobiologic parameters from TCP(Dmeancalc) fits is not possible unless one parameter is already known. TCP predictions using TCP(DVHcalc) and TCP(Dmeancalc) parameters may differ substantially, requiring consistency in the derivation and application of model parameters. The proper derivation of radiobiologic parameters from clinical data requires both substantial dose inhomogeneities and understanding of how these coincide with tumor location.