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Efficiency of a second-generation HIV-1 protease inhibitor studied by molecular dynamics and absolute binding free energy calculations.

A subnanomolar inhibitor of human immunodeficiency virus type 1 (HIV-1) protease, designated QF34, potently inhibits the wild-type and drug-resistant enzyme. To explain its broad activity, the binding of QF34 to the wild-type HIV-1 protease is investigated by molecular dynamics simulations and compared to the binding of two inhibitors that are used clinically, saquinavir (SQV) and indinavir (IDV). Analysis of the flexibility of protease residues and inhibitor segments in the complex reveals that segments of QF34 were more mobile during the dynamics studies than the segments of SQV and IDV. The dynamics of hydrogen bonding show that QF34 forms a larger number of stable hydrogen bonds than the two inhibitors that are used clinically. Absolute binding free energies were calculated with molecular mechanics-generalized Born surface area (MM-GBSA) methodology using three protocols. The most consistent results were obtained using the single-trajectory approach, due to cancellation of errors and inadequate sampling in the separate-trajectory protocols. For all three inhibitors, energy components in favor of binding include van der Waals and electrostatic terms, whereas polar solvation and entropy terms oppose binding. Decomposition of binding energies reveals that more protease residues contribute significantly to the binding of QF34 than to the binding of SQV and IDV. Moreover, contributions from protease main chains and side chains are balanced in the case of QF34 (52:48 ratio, respectively), whereas side chain contributions prevail in both SQV and IDV (main-chain:side-chain ratios of 41:59 and 45:55, respectively). The presented results help explain the ability of QF34 to inhibit multiple resistant mutants and should be considered in the design of broad-specificity second-generation HIV-1 protease inhibitors.

Drug Design↗

Pre-nucleation crystallization studies on aminoacyl-tRNA synthetases by dynamic light-scattering.

Dynamic light-scattering (DLS) studies on solutions of proteins approaching their precipitation point were made with asparaginyl- (NRSEC), leucyl- (LRSEC) and valyl- (VRSEC) tRNA synthetases from Escherichia coli. The three aminoacyl-tRNA synthetases have not been crystallized previously. As a control system, we used E. coli polypeptide elongation factor Tu (EF-Tu). Apart from the different proteins used here, the methods we employed differed from previous studies in that (1) instead of making a series of measurements on individual samples at various concentrations, the protein solutions were titrated with the precipitants, and (2) the results of the light-scattering measurements were analysed by a new maximum entropy procedure that calculates a particle size distribution in a highly reproducible way. The particle size distributions of protein solutions titrated with precipitants showed two major peaks in most cases. For both peaks, relative areas and mean diffusion coefficients were determined. The diffusion constants were corrected for the viscosity of the solutions. From comparing the results on the proteins known to crystallize (EF-Tu) with the amorphously precipitating systems (LRSEC, NRSEC) we find two necessary, but not sufficient, conditions for the formation of crystals: the diffusion coefficient of the monomer peak stays constant until very close to the precipitation point; the percentage of large aggregates stays small (less than 10% of the scattered light intensity) during the titration. For VRSEC, both ammonium sulphate and sodium citrate showed a low percentage of large aggregates and a constant diffusion coefficient of the main (protein monomer) peak below the precipitation point. This indicates that both would be possible precipitants for the crystallization of this enzyme. Crystallization trials using both these salts were carried out, and although no condition could as yet be found for obtaining crystals with ammonium sulphate solutions, crystals of the enzyme have been obtained with sodium citrate.

Amino Acyl-tRNA Synthetases↗

Probability distribution of inherent states in models of granular media and glasses.

The present paper develops a Statistical Mechanics approach to the inherent states of glassy systems and granular materials by following the original ideas proposed by Edwards for granular media. We consider three lattice models (a diluted spin glass, a system of hard spheres under gravity and a hard-spheres binary mixture under gravity) introduced to describe glassy and granular systems. They are evolved using a "tap dynamics" analogous to that of experiments on granular media. We show that the asymptotic states reached in such a dynamics are not dependent on the particular sample history and are characterized by a few thermodynamical parameters. We assume that under stationarity these systems are distributed in their inherent states satisfying the principle of maximum entropy. This leads to a generalized Gibbs distribution characterized by new "thermodynamical" parameters, called "configurational temperatures" (related to Edwards compactivity for granular materials). Finally, we show by Monte Carlo calculations that the average of macroscopic quantities over the tap dynamics and over such distribution indeed coincide. In particular, in the diluted spin glass and in the system of hard spheres under gravity, the asymptotic states reached by the system are found to be described by a single "configurational temperature". Whereas in the hard-spheres binary mixture under gravity the asymptotic states reached by the system are found to be described by two thermodynamic parameters, coinciding with the two configurational temperatures which characterize the distribution among the inherent states when the principle of maximum entropy is satisfied under the constraint that the energies of the two species are independently fixed.

Journal Article↗

Reconstruction of images from radiofrequency electron paramagnetic resonance spectra.

This paper discusses methods for obtaining image reconstructions from electron paramagnetic resonance (EPR) spectra which constitute object projections. An automatic baselining technique is described which treats each spectrum consistently; rotating the non-horizontal baselines which are caused by stray magnetic effects onto the horizontal axis. The convolved backprojection method is described for both two- and three-dimensional reconstruction and the effect of cut-off frequency on the reconstruction is illustrated. A slower, indirect, iterative method, which does a non-linear fit to the projection data, is shown to give a far smoother reconstructed image when the method of maximum entropy is used to determine the value of the final residual sum of squares. Although this requires more computing time than the convolved backprojection method, it is more flexible and overcomes the problem of numerical instability encountered in deconvolution. Images from phantom samples in vitro are discussed. The spectral data for these have been accumulated quickly and have a low signal-to-noise ratio. The results show that as few as 16 spectra can still be processed to give an image. Artifacts in the image due to a small number of projections using the convolved backprojection reconstruction method can be removed by applying a threshold, i.e. only plotting contours higher than a given value. These artifacts are not present in an image which has been reconstructed by the maximum entropy technique. At present these techniques are being applied directly to in vivo studies.

Electron Spin Resonance Spectroscopy↗

Time-resolved rapid-scan Fourier transform infrared difference spectroscopy on a noncyclic photosystem: rhodopsin photointermediates from Lumi to Meta II.

The visual pigment rhodopsin has been extensively studied for the kinetics of its photointermediates by various spectroscopic methods. Unlike such archaeal retinal proteins as bacteriorhodopsin, visual rhodopsin does not thermally recover its dark state after photoexcitation, which precludes repeated excitation of a single sample and thereby complicates time-resolved experiments. Kinetic data on the late rhodopsin photointermediates have so far been available mainly from time-resolved ultraviolet (UV)-visible spectroscopy, but not from Fourier transform infrared (FTIR) spectroscopy. The latter has the advantage of being informative of structural changes of both chromophore and protein, but does not allow the highly reproducible, automated sample exchange procedures available to UV-visible spectroscopy. Using rapid-scan FTIR difference spectroscopy, we obtained time-resolved data sets that were analyzed by a maximum entropy inverse Laplace-transform. Covering the time range from 8 ms to 15 s at temperatures of 0 and -7 degrees C, the transitions from the Lumi to the Meta I and from the Meta I to the Meta II photoproduct states could be resolved. In the transition from Meta I to Meta II, our data reveal a partial deprotonation of the retinal Schiff base preceding the conformational change of the receptor protein to Meta II. The technique and the results are discussed in regard to its advantages as well as its limitations.

Animals↗

Kinetic energy release distributions in mass spectrometry.

Kinetic energy releases (KERs) in unimolecular fragmentations of singly and multiply charged ions provide information concerning ion structures, reaction energetics and dynamics. This topic is reviewed covering both early and more recent developments. The subtopics discussed are as follows: (1) introduction and historical background; (2) ion dissociation and kinetic energy release: kinematics; potential energy surfaces; (3) the kinetic energy release distribution (KERD); (4) metastable peak observations: measurements on magnetic sector and time-of-flight instruments; energy selected results by photoelectron photoion coincidence (PEPICO); (5) extracting KERDs from metastable peak shapes; (6) ion structure determination and reaction mechanisms: singly and multiply charged ions; biomolecules and fullerenes; (7) theoretical approaches: phase space theory (PST), orbiting transition state (OTS)/PST, finite heat bath theory (FHBT) and the maximum entropy method; (8) exit channel interactions; (9) general trends: time and energy dependences; (10) thermochemistry: organometallic reactions, proton-bound clusters, fullerenes; and (11) the efficiency of phase space sampling.

Journal Article↗

Effect of NaCl addition on nanosecond O2 escaping reaction of myoglobin: evidences for the transition of myoglobin dynamic structure at 20 degrees C.

We studied the nanosecond (ns) geminate O2 escape reaction from the protein interior of myoglobin (Mb) to the solvent phase in the temperature range of 5-40 degrees C containing 0-0.1 M NaCl. In the flash photolysis experiments, we found that both the rate constant, kout, and its Arrhenius plot changed upon the variation of the NaCl concentration. In particular, it was noteworthy that the Arrhenius plot of kout dramatically changed in its slope, keeping the break at 20 degrees C, upon the addition of NaCl, indicating that the thermodynamic parameters such as an enthalpy of activation (delta H not equal to) and an entropy of activation (delta S not equal to) are different between above and below 20 degrees C, and that they are further altered upon the NaCl addition to the sample solution. From these results, we suggested that the Mb dynamic structure in the ns geminate O2 escape reaction is sensitively regulated by the interaction of the protein surface and the salt. The present study also showed that an inconsistency of the Arrhenius plot of kout between Chatfield et al. ((1990) J. Am. Chem. Soc. 112, 4680-4687) and us ((1990) J. Biol. Chem. 265, 18823-18828) is probably due to the difference in the solution condition.

Myoglobin↗

Altered morning and nighttime pulsatile corticotropin and cortisol release in polycystic ovary syndrome.

An overdrive of the hypothalamic-pituitary-adrenal (HPA) axis has been postulated in patients with polycystic ovary syndrome (PCOS). However, little is known concerning the pulsatile modes of corticotropin (ACTH) and cortisol secretion in these patients. To further investigate this issue, spontaneous ACTH and cortisol release were evaluated in 16 normal-weight patients with PCOS and 16 control women. Nine PCOS patients and eight controls were studied between 8 AM and 12 AM (noon), and seven PCOS patients and eight controls between 11 PM and 3 AM. Venous blood samples were taken at 10-minute intervals. Cluster analysis was used to assess ACTH and cortisol pulse frequency and amplitude, deconvolution to calculate mean hormone secretion rates, and approximative entropy (ApEn) to measure the orderliness of ACTH and cortisol time-series data. PCOS patients compared with controls displayed increased ACTH and cortisol release (area under the curve [AUC] and mean plasma concentration) both in the morning and at night. This was not due to increased hormonal secretory burst frequency, but to higher hormonal interpeak valley concentrations and, in the case of ACTH, nighttime pulse amplitudes. Mean ACTH and cortisol secretion rates also were increased in PCOS patients. Further, both controls and PCOS patients exhibited significant (0 to 20 minutes lagged) concordance between individual daytime pulsatile ACTH and cortisol release episodes. As shown by increased ApEn values, PCOS patients had more disorderly daytime cortisol release. In addition, the normal daytime correlation between the amount of pulsatile ACTH and cortisol release as observed in the controls was lost in PCOS patients. Finally, cross-correlation analysis showed a more prominent negative correlation in PCOS patients versus controls between plasma cortisol and 40- to 120-minute delayed ACTH concentrations in the morning, indicating a more sustained negative feedback of cortisol on ACTH release in PCOS at this time. Taken together, these findings demonstrate the existence of multifaceted dysregulation of the HPA axis in PCOS.

Adolescent↗

Changes in thermal and electrical properties of bone as a result of 1 MGy-dose gamma-irradiation.

Determination of temperature dependencies of electric conductivity and thermal properties by differential scanning calorimetry (DSC) allow to analyse the processes of charge and heat transport in the bone being a complex collagen-hydroxyapatite (HAP)-water system. Modification of the bone structure by high doses of gamma-radiation changes the electrical and thermal properties of the bone. Electrical conductivity (sigma) of the bone decreases with consecutive heating runs. The decrease in sigma observed for irradiated samples was explained by the scission of the main chain of collagen macromolecule. Irradiation decreased the hydration level in the bone, its denaturation temperature and increased both enthalpy and entropy of the denaturation process.

Animals↗

Effect of insulin sensitivity on pulsatile insulin secretion.

OBJECTIVE: The aim of the study was to determine whether derangements in insulin pulsatility are related to the presence of insulin resistance or whether these changes occur only in non-insulin-dependent diabetes mellitus (NIDDM). DESIGN AND METHODS: The study included 26 obese, 11 NIDDM and 10 control subjects. The obese group was divided into a low insulin (plasma insulin <20 mU/l, OLI, 14 subjects) and a high insulin (OHI, 12 subjects) group. For pulsatility analysis blood was sampled every 2 min for 90 min. Pulsatility analysis was carried out using the PulsDetekt program. The insulin secretion randomness was quantified using interpulse interval deviation (IpID) and approximate entropy (ApEn). ApEn and ApEn normalized by s.d. of the individual insulin time series (nApEn) were calculated. Lower values of ApEn and IpID indicate more regular secretion. Homeostasis model assessment (HOMA) was used to quantify insulin sensitivity. RESULTS: Insulin pulses were significantly less regular in the OHI and the NIDDM groups compared with the control and the OLI groups (control: ApEn 0.54+/-0.16, nApEn 0.69+/-0.19, IpID 2.53+/-0.99; OLI: ApEn 0.64+/-0.12, nApEn 0. 79+/-0.15, IpID 2.92+/-1.09; OHI: ApEn 0.88+/-0.07, nApEn 0.92+/-0. 07, IpID 3.95+/-0.84; NIDDM: ApEn 0.92+/-0.16, nApEn 0.99+/-0.09, IpID 4.41+/-0.53; means +/- s.d.). There was no difference in the pulse regularity between the OHI and the NIDDM groups. CONCLUSIONS: Decrease in insulin sensitivity was correlated with the reduction of insulin secretion regularity. Therefore irregular insulin secretion is related to a reduction in insulin sensitivity, and it is not unique to NIDDM.

Adult↗

Evolution of HVR-1 quasispecies after 1-year treatment in HIV/HCV-coinfected patients according to the pattern of response to highly active antiretroviral therapy.

Hepatitis C virus (HCV) variability is mainly attributed to the ability of the virus to respond to host immune pressure, acting as a driving force for the evolution of quasispecies. This study was aimed at studying the changes in HVR-1 heterogeneity and the evolution of HCV quasispecies in HIV/HCV-coinfected patients according to the pattern of response to highly active antiretroviral therapy (HAART). Sixteen HIV/HCV-coinfected patients harbouring HCV genotype 1 and who had been on HAART for at least 1 year, 8 showing increasing CD4+ T-cell counts (immunological responders) and 8 showing a stable or decreasing CD4+ T-cell counts (immunological nonresponders), were selected from a prospective cohort study. After 1 year of HAART, 11 patients showed HIV viral load <2.6 log10 cp/ml (virological responders), and 5 showed HIV viral load above this value (virological non-responders). Plasma samples, collected before starting therapy and after 1 year of HAART, underwent clonal sequence analysis for HVR-1 region of HCV. Nonsynonymous/synonymous substitutions ratio (Ka/Ks), aminoacidic complexity (normalized Shannon entropy) and diversity (p-distance), were considered as parameters of quasispecies heterogeneity. After 1 year of HAART, heterogeneity of HVR-1 quasispecies significantly decreased in virological non-responders, whereas the heterogeneity tended to increase in virological responders. The differences in the evolution were less stringent, when considering immunological response. On the other hand, profound qualitative modifications of HVR-1 quasispecies were observed only in patients with both immunological and virological HAART response. On the whole, these findings suggest that, in patients undergoing HAART, the extent of HCV variability and the evolution of HVR-1 quasispecies is influenced by the pattern of response to antiretroviral therapy.

Adult↗

Characterization of echographic image texture by cooccurrence matrix parameters.

The goal of this study was to investigate the potentials of cooccurrence matrix analysis for the characterization of echographic image texture. Echographic data were obtained by one-dimensional simulations. Various data sets were generated with different number densities of the randomly distributed scatterers and with different levels of structural scattering strength. Cooccurrence matrix parameters estimated for analysis were: angular second moment, contrast, correlation, entropy and kappa. The cooccurrence matrix analysis was tuned by varying its parameters: spatial displacement of the pixel pairs, number of gray levels and size of the window. The parameters reached a saturation level at a number density of 3-5 scatterers per resolution cell (-6 dB width). Similarly, when increasing the displacement, a limit value was reached at 4-20 samples, depending on the size of the resolution cell. Using the Mahalanobis distance as a measure of differentiating between two textures, a systematic inverse relation was observed between the size of the window and the number of gray levels used in the estimation of the cooccurrence matrix. The optimal parameters to differentiate textures without structure appeared to be entropy and angular second moment. A window size of 90 speckle cells and 64 gray levels is needed for this purpose. The effective speckle size was estimated from the mean number of maxima of the demodulated echo signals. Resolved structure results in a periodicity of parameter values with displacement. The periodicity can be calculated by changing the displacement d. Optimal parameters for detecting periodicity are contrast and correlation. Analysis of the correlation between parameters showed that entropy vs. angular second moment and contrast vs. correlation are highly correlated.

Algorithms↗

Accuracy in the estimation of quantitative minimal area from the diversity/area curve.

The problem of representativity is fundamental in ecological studies. A qualitative minimal area that gives a good representation of species pool [C.M. Bouderesque, Methodes d'etude qualitative et quantitative du benthos (en particulier du phytobenthos), Tethys 3(1) (1971) 79] can be discerned from a quantitative minimal area which reflects the structural complexity of community [F.X. Niell, Sobre la biologia de Ascophyllum nosodum (L.) Le Jolis en Galicia, Invest. Pesq. 43 (1979) 501]. This suggests that the populational diversity can be considered as the value of the horizontal asymptote corresponding to the curve sample diversity/biomass [F.X. Niell, Les applications de l'index de Shannon a l'etude de la vegetation interdidale, Soc. Phycol. Fr. Bull. 19 (1974) 238]. In this study we develop a expression to determine minimal areas and use it to obtain certain information about the community structure based on diversity/area curve graphs. This expression is based on the functional relationship between the expected value of the diversity and the sample size used to estimate it. In order to establish the quality of the estimation process, we obtained the confidence intervals as a particularization of the functional (h-phi)-entropies proposed in [M. Salicru, M.L. Menendez, D. Morales, L. Pardo, Asymptotic distribution of (h,phi)-entropies, Commun. Stat. (Theory Methods) 22 (7) (1993) 2015]. As an example used to demonstrate the possibilities of this method, and only for illustrative purposes, data about a study on the rocky intertidal seawed populations in the Ria of Vigo (N.W. Spain) are analyzed [F.X. Niell, Estudios sobre la estructura, dinamica y produccion del Fitobentos intermareal (Facies rocosa) de la Ria de Vigo. Ph.D. Mem. University of Barcelona, Barcelona, 1979].

Algorithms↗

Glucose relays information regarding nutritional status to the neural circuits that control the somatotropic, corticotropic, and gonadotropic axes in adult male rhesus macaques.

In male mammals, the neuroendocrine responses to fasting include increased GH and cortisol secretion and suppressed LH and T levels. Because blood glucose levels fall during fasting, we hypothesized that this modest, but consistent, change in blood glucose was a metabolic signal for the neuroendocrine adjustments of reproductive and metabolic hormones. Glucose (D-dextrose, 480 kcal/d) was infused into fasted (48 h) adult male rhesus macaques; and LH, cortisol, and GH were measured in plasma from samples collected at 15-min intervals for the last 15 h of the fast. We analyzed hormone secretion by deconvolution analysis, and the orderliness of release patterns by the approximate entropy statistic. Circulating blood glucose was 76 +/- 7 mg/dl in the fed control group, significantly higher (P < 0.01) than the level of 56 +/- 3 mg/dl in the fasted group. The increase in GH pulsatility and the 2-fold elevation in cortisol levels observed in the fasted male macaques were prevented by parenteral glucose delivery. The suppression of LH in fasted animals was not relieved by glucose infusions but seemed to be partially prevented in three of the animals. These findings are consistent with the hypothesis that glucose serves as a signal of nutritional status controlling adaptive neuroendocrine responses to fasting in the primate.

Adrenocorticotropic Hormone↗

Tobacco mosaic virus disassembly by high hydrostatic pressure in combination with urea and low temperature.

We investigated the effect of low temperature and urea combined with high pressure on tobacco mosaic virus (TMV). The evaluation of its aggregation state and denaturation process was studied using gel filtration, transmission electron microscopy, and spectroscopic methods. The incubation at 2.5 kbar induced 18% dissociation, and decreasing of temperature to -19 degreesC promoted additional dissociation to 72%, with stabilization of the dissociation products. Under such conditions, extensive denaturation did not occur. The apparent enthalpy and entropy of dissociation (Delta and TDelta) were -9.04 kcal/mol subunit and -15.1 kcal/mol subunit, respectively, indicating that the TMV association is an entropicly driven process. The apparent free energy of stabilization given by the presence of RNA is at least -1.7 kcal/mol subunit. Urea-induced dissociation of TMV samples and incubation at high-pressure promoted a higher degree of dissociation. The volume change of dissociation decreased in magnitude from -16.3 to -3.1 mL/mol of dissociated subunit, respectively, in the absence and presence of 2.5 M urea, suggesting exposure of the protein-protein interface to the solvent. High-pressure induced remarkable TMV denaturation in the presence of 2.5 M urea, with a volume change of -101 mL/mol of denatured subunit. The apparent enthalpy and entropy of denaturation (Delta and TDelta) by 1.75 M urea at 2.5 kbar was -11.1 and -10.2 kcal/mol subunit, respectively, demonstrating that the TMV protein coat presents an apparent free energy of denaturation by urea close to zero. Although the processes could not be assumed to be pure equilibria, these thermodynamic parameters could be derived by assuming a steady-state condition.

Atmospheric Pressure↗

A coarse-grained normal mode approach for macromolecules: an efficient implementation and application to Ca(2+)-ATPase.

A block normal mode (BNM) algorithm, originally proposed by Tama et al., (Proteins Struct. Func. Genet. 41:1-7, 2000) was implemented into the simulation program CHARMM. The BNM approach projects the hessian matrix into local translation/rotation basis vectors and, therefore, dramatically reduces the size of the matrix involved in diagonalization. In the current work, by constructing the atomic hessian elements required in the projection operation on the fly, the memory requirement for the BNM approach has been significantly reduced from that of standard normal mode analysis and previous implementation of BNM. As a result, low frequency modes, which are of interest in large-scale conformational changes of large proteins or protein-nucleic acid complexes, can be readily obtained. Comparison of the BNM results with standard normal mode analysis for a number of small proteins and nucleic acids indicates that many properties dominated by low frequency motions are well reproduced by BNM; these include atomic fluctuations, the displacement covariance matrix, vibrational entropies, and involvement coefficients for conformational transitions. Preliminary application to a fairly large system, Ca(2+)-ATPase (994 residues), is described as an example. The structural flexibility of the cytoplasmic domains (especially domain N), correlated motions among residues on domain interfaces and displacement patterns for the transmembrane helices observed in the BNM results are discussed in relation to the function of Ca(2+)-ATPase. The current implementation of the BNM approach has paved the way for developing efficient sampling algorithms with molecular dynamics or Monte Carlo for studying long-time scale dynamics of macromolecules.

Algorithms↗

Maximizing the entropy of histogram bar heights to explore neural activity: a simulation study on auditory and tactile fibers.

Neurophysiologists often use histograms to explore patterns of activity in neural spike trains. The bin size selected to construct a histogram is crucial: too large bin widths result in coarse histograms, too small bin widths expand unimportant detail. Peri-stimulus time (PST) histograms of simulated nerve fibers were studied in the current article. This class of histograms gives information about neural activity in the temporal domain and is a density estimate for the spike rate. Scott's rule based on modem statistical theory suggests that the optimal bin size is inversely proportional to the cube root of sample size. However, this estimate requires a priori knowledge about the density function. Moreover, there are no good algorithms for adaptive-mesh histograms, which have variable bin sizes to minimize estimation errors. Therefore, an unconventional technique is proposed here to help experimenters in practice. This novel method maximizes the entropy of histogram-bar heights to find the unique bin size, which generates the highest disorder in a histogram (i.e., the most complex histogram), and is useful as a starting point for neural data mining. Although the proposed method is ad hoc from a density-estimation point of view, it is simple, efficient and more helpful in the experimental setting where no prior statistical information on neural activity is available. The results of simulations based on the entropy method are also discussed in relation to Ellaway's cumulative-sum technique, which can detect subtle changes in neural activity in certain conditions.

Algorithms↗

Multiwavelet grading of pathological images of prostate.

Histological grading of pathological images is used to determine level of malignancy of cancerous tissues. This is a very important task in prostate cancer prognosis, since it is used for treatment planning. If infection of cancer is not rejected by non-invasive diagnostic techniques like magnetic resonance imaging, computed tomography scan, and ultrasound, then biopsy specimens of tissue are tested. For prostate, biopsied tissue is stained by hematoxyline and eosine method and viewed by pathologists under a microscope to determine its histological grade. Human grading is very subjective due to interobserver and intraobserver variations and in some cases difficult and time-consuming. Thus, an automatic and repeatable technique is needed for grading. Gleason grading system is the most common method for histological grading of prostate tissue samples. According to this system, each cancerous specimen is assigned one of five grades. Although some automatic systems have been developed for analysis of pathological images, Gleason grading has not yet been automated; the goal of this research is to automate it. To this end, we calculate energy and entropy features of multiwavelet coefficients of the image. Then, we select most discriminative features by simulated annealing and use a k-nearest neighbor classifier to classify each image to appropriate grade (class). The leaving-one-out technique is used for error rate estimation. We also obtain the results using features extracted by wavelet packets and co-occurrence matrices and compare them with the multiwavelet method. Experimental results show the superiority of the multiwavelet transforms compared with other techniques. For multiwavelets, critically sampled preprocessing outperforms repeated-row preprocessing and has less sensitivity to noise for second level of decomposition. The first level of decomposition is very sensitive to noise and, thus, should not be used for feature extraction. The best multiwavelet method grades prostate pathological images correctly 97% of the time.

Algorithms↗