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1.
Inactivation kinetics of poliovirus type 1 in ozone demand-free water was investigated by utilizing a fast-flow mixing apparatus. Ozonated water and a solution of ozone demand-free water containing a known quantity of poliovirus type 1 were introduced simultaneously into a mixing chamber, both at a constant rate. This mixture was then passed through a narrow tube of known length and diameter into a neutralizing solution. By altering the rate of introduction and/or tube length, different contact periods between ozone and virus could be determined with an accuracy of 0.01 s. Inactivation of the poliovirus occurred in two steps. During the first step, which lasted for 0.2 to 1.0 s, 95 to 99% of the virus was inactivated, depending on the ozone concentration (which ranged from 0.1 to 2.0 mg/liter). The second step apparently continued for several minutes; in this period the remainder of the virus was inactivated. An obvious dose-response relationship was demonstrated during the first step of the inactivation curve. The pH of the water slightly affected the viral inactivation rate, but these small differences seem to have no practical value.  相似文献   

2.
MS2 coliphage (ATCC 15597-B1) has been proposed by the U.S. Environmental Protection Agency as a surrogate for enteric viruses to determine the engineering requirements of chemical disinfection systems on the basis of previous experience with chlorine. The objective of this study was to determine whether MS2 coliphage was a suitable indicator for the inactivation of enteric viruses when ozone disinfection systems were used. Bench-scale experiments were conducted in 2-liter-batch shrinking reactors containing ozone demand-free 0.05 M phosphate buffer (pH 6.9) at 22 degrees C. Ozone was added as a side stream from a concentrated stock solution. It was found that an ozone residual of less than 40 micrograms/liter at the end of 20 s inactivated greater than 99.99% of MS2 coliphage in the demand-free buffer. When MS2 was compared directly with poliovirus type 3 in paired experiments, 1.6 log units more inactivation was observed with MS2 coliphage than with poliovirus type 3. It was concluded that the use of MS2 coliphage as a surrogate organism for studies of enteric virus with ozone disinfection systems overestimated the inactivation of enteric viruses. It is recommended that the regulatory agencies evaluate their recommendations for using MS2 coliphage as an indicator of enteric viruses.  相似文献   

3.
MS2 coliphage (ATCC 15597-B1) has been proposed by the U.S. Environmental Protection Agency as a surrogate for enteric viruses to determine the engineering requirements of chemical disinfection systems on the basis of previous experience with chlorine. The objective of this study was to determine whether MS2 coliphage was a suitable indicator for the inactivation of enteric viruses when ozone disinfection systems were used. Bench-scale experiments were conducted in 2-liter-batch shrinking reactors containing ozone demand-free 0.05 M phosphate buffer (pH 6.9) at 22 degrees C. Ozone was added as a side stream from a concentrated stock solution. It was found that an ozone residual of less than 40 micrograms/liter at the end of 20 s inactivated greater than 99.99% of MS2 coliphage in the demand-free buffer. When MS2 was compared directly with poliovirus type 3 in paired experiments, 1.6 log units more inactivation was observed with MS2 coliphage than with poliovirus type 3. It was concluded that the use of MS2 coliphage as a surrogate organism for studies of enteric virus with ozone disinfection systems overestimated the inactivation of enteric viruses. It is recommended that the regulatory agencies evaluate their recommendations for using MS2 coliphage as an indicator of enteric viruses.  相似文献   

4.
Since concern has recently been expressed about the presence of genotoxic substances due to chlorination of water and wastewater, chloramine-T (CAT) is proposed as an alternative disinfectant to chlorine. The viricidal properties of chlorine and CAT were compared. Kinetics of inactivation of poliovirus type 2 by chlorine and CAT in chlorine demand-free water were investigated by using a kinetic apparatus. Inactivation of the virus by chlorine and CAT occurred in two steps. The initial linear part of the inactivation curve followed a pseudo-first-order reaction with the virus. An obvious dose-response relationship was demonstrated with CAT. The rate of inactivation of the virus by CAT was faster in acid medium than in alkaline medium. Inactivation kinetic studies were performed at different temperatures, and the kinetic, Arrhenius, and thermodynamic parameters were evaluated. The rate of inactivation of poliovirus type 2 by chlorine was faster than that by CAT under identical conditions. A mechanism for the viral inactivation in acid conditions was proposed which led to a rate equation consistent with the experimental results. The results indicate that CAT may be an effective viricide against poliovirus type 2 in an acid medium.  相似文献   

5.
Inactivation of poliovirus by chloramine-T.   总被引:1,自引:1,他引:0       下载免费PDF全文
Since concern has recently been expressed about the presence of genotoxic substances due to chlorination of water and wastewater, chloramine-T (CAT) is proposed as an alternative disinfectant to chlorine. The viricidal properties of chlorine and CAT were compared. Kinetics of inactivation of poliovirus type 2 by chlorine and CAT in chlorine demand-free water were investigated by using a kinetic apparatus. Inactivation of the virus by chlorine and CAT occurred in two steps. The initial linear part of the inactivation curve followed a pseudo-first-order reaction with the virus. An obvious dose-response relationship was demonstrated with CAT. The rate of inactivation of the virus by CAT was faster in acid medium than in alkaline medium. Inactivation kinetic studies were performed at different temperatures, and the kinetic, Arrhenius, and thermodynamic parameters were evaluated. The rate of inactivation of poliovirus type 2 by chlorine was faster than that by CAT under identical conditions. A mechanism for the viral inactivation in acid conditions was proposed which led to a rate equation consistent with the experimental results. The results indicate that CAT may be an effective viricide against poliovirus type 2 in an acid medium.  相似文献   

6.
Ozone inactivation of cell-associated viruses   总被引:1,自引:0,他引:1  
The inactivation of HEp-2 cell-associated poliovirus (Sabin 1) and coxsackievirus A9 was investigated in three experimental systems, using ozone as a disinfectant. The cell-associated viral samples were adjusted to a turbidity of 5 nephelometric turbidity units. The cell-associated poliovirus and coxsackievirus samples demonstrated survival in a continuous-flow ozonation system at applied ozone dosages of 4.06 and 4.68 mg/liter, respectively, for 30 s. Unassociated viral controls were inactivated by the application of 0.081 mg of ozone per liter for 10 s. Ultrasonic treatment of cell-associated enteric viruses did not increase inactivation of the cell-associated viruses. The batch reactor with a declining ozone residual did not effect total inactivation of either cell-associated enteric virus. These cell-associated viruses were completely inactivated after exposure to ozone in a batch reactor using continuous ozonation. Inactivation of cell-associated poliovirus required a 2-min contact period with an applied ozone dosage of 6.82 mg/liter and a residual ozone concentration of 4.70 mg/liter, whereas the coxsackievirus was completely inactivated after a 5-min exposure to an applied ozone dosage of 4.81 mg/liter with an ozone residual of 2.18 mg/liter. These data indicate that viruses associated with cells or cell fragments are protected from inactivation by ozone concentrations that readily inactivate purified virus. The cell-associated viral samples used in this research contained particles that were 10 to 15 microns in size. Use of a filtration system before ozonation would remove these particles, thereby facilitating inactivation of any remaining viruses associated with cellular fragments.  相似文献   

7.
Ozone inactivation of cell-associated viruses.   总被引:1,自引:0,他引:1       下载免费PDF全文
The inactivation of HEp-2 cell-associated poliovirus (Sabin 1) and coxsackievirus A9 was investigated in three experimental systems, using ozone as a disinfectant. The cell-associated viral samples were adjusted to a turbidity of 5 nephelometric turbidity units. The cell-associated poliovirus and coxsackievirus samples demonstrated survival in a continuous-flow ozonation system at applied ozone dosages of 4.06 and 4.68 mg/liter, respectively, for 30 s. Unassociated viral controls were inactivated by the application of 0.081 mg of ozone per liter for 10 s. Ultrasonic treatment of cell-associated enteric viruses did not increase inactivation of the cell-associated viruses. The batch reactor with a declining ozone residual did not effect total inactivation of either cell-associated enteric virus. These cell-associated viruses were completely inactivated after exposure to ozone in a batch reactor using continuous ozonation. Inactivation of cell-associated poliovirus required a 2-min contact period with an applied ozone dosage of 6.82 mg/liter and a residual ozone concentration of 4.70 mg/liter, whereas the coxsackievirus was completely inactivated after a 5-min exposure to an applied ozone dosage of 4.81 mg/liter with an ozone residual of 2.18 mg/liter. These data indicate that viruses associated with cells or cell fragments are protected from inactivation by ozone concentrations that readily inactivate purified virus. The cell-associated viral samples used in this research contained particles that were 10 to 15 microns in size. Use of a filtration system before ozonation would remove these particles, thereby facilitating inactivation of any remaining viruses associated with cellular fragments.  相似文献   

8.
More information is needed on the disinfection efficacy of chlorine for viruses in source water. In this study, chlorine disinfection efficacy was investigated for USEPA Contaminant Candidate List viruses coxsackievirus B5 (CVB5), echovirus 1 (E1), murine norovirus (MNV), and human adenovirus 2 (HAdV2) in one untreated groundwater source and two partially treated surface waters. Disinfection experiments using pH 7 and 8 source water were carried out in duplicate, using 0.2 and 1 mg/liter free chlorine at 5 and 15°C. The efficiency factor Hom (EFH) model was used to calculate disinfectant concentration × contact time (CT) values (mg·min/liter) required to achieve 2-, 3-, and 4-log10 reductions in viral titers. In all water types, chlorine disinfection was most effective for MNV, with 3-log10 CT values at 5°C ranging from ≤0.020 to 0.034. Chlorine disinfection was least effective for CVB5 in all water types, with 3-log10 CT values at 5°C ranging from 2.3 to 7.9. Overall, disinfection proceeded faster at 15°C and pH 7 for all water types. Inactivation of the study viruses was significantly different between water types, but no single source water had consistently different inactivation rates than another. CT values for CVB5 in one type of source water exceeded the recommended CT values set forth by USEPA''s Guidance Manual for Compliance with the Filtration and Disinfection Requirements for Public Water Systems using Surface Water Sources. The results of this study demonstrate that water quality plays a substantial role in the inactivation of viruses and should be considered when developing chlorination plans.Disinfection processes are critical for the reduction of infectious virus concentrations in source water, because viruses are less efficiently removed by primary treatment of drinking water (e.g., coagulation and filtration) than are other pathogen types of concern (e.g., bacteria and protozoa). Over the years, many disinfection studies have focused on the inactivation of viruses in purified and buffered, demand-free, reagent-grade water (RGW). However, relatively few investigators have examined the impact of water quality during the disinfection process, even though water quality has been found to be a significant factor for inactivation of viruses.Several researchers found that the inactivation rate of poliovirus by free chlorine increased as the ionic concentration of water increased. In one study, poliovirus 1 was inactivated three times faster in boric acid buffer than in purified water (3). In addition, several investigators found that when the ionic content of buffered water was raised by the addition of NaCl or KCl, poliovirus 1 was inactivated two to four times faster than in the buffered water alone (2, 16, 17). In another study, poliovirus 1 was inactivated 10 times more rapidly in drinking water than in purified water (4).Studies conducted with natural waters have demonstrated both increased and decreased disinfection efficacy of chlorine in these waters compared to purified or buffered waters. In a study comparing chlorine disinfection in purified water and Potomac estuarine water, coxsackievirus A9 was inactivated more rapidly in the source water. The remaining study viruses (coxsackievirus B1, echovirus 7, adenovirus 3, poliovirus 1, and reovirus 3) were all inactivated more slowly in the source water (13). Bacteriophage MS2 was inactivated more slowly by free chlorine in two types of surface water than in buffered, demand-free water. However, there was no difference between the inactivation rates of this virus in the buffered water and groundwater (10). In another study, both feline calicivirus and adenovirus 40 were inactivated more slowly in treated groundwater than in buffered, demand-free water (21).The United States Environmental Protection Agency''s (USEPA) Guidance Manual for Compliance with the Filtration and Disinfection Requirements for Public Water Systems using Surface Water Sources (Guidance Manual) recommends disinfectant concentration × contact time (CT) values of 4, 6, and 8 to achieve 2-, 3-, and 4-log10 inactivation, respectively, with chlorine at 5°C and pH 6 to 9 (23). These CT values, which incorporate a safety factor of 3, were obtained from inactivation experiments conducted with monodispersed hepatitis A virus (HAV) in buffered, demand-free water. As water quality can significantly affect the disinfection efficacy of chlorine, it is unclear whether these CT value recommendations are sufficient for inactivation of viruses in source water. More information is needed to systematically examine the role of water quality in chlorine disinfection of viruses.The objective of the present study was to examine the disinfection efficacy of free chlorine on selected viruses from USEPA''s Contaminant Candidate List (CCL) (22) in one untreated and two partially treated source waters from distinct geographical regions. By comparing the efficacy of chlorine disinfection in the source water types to disinfection in buffered, chlorine-demand-free RGW (7), the impact of water quality could be examined. The four representative CCL viruses selected for this study included human adenovirus 2 (HAdV2), echovirus 1 (E1), coxsackievirus B5 (CVB5), and murine norovirus (MNV), a surrogate for human norovirus (22). The viruses were selected because they were previously found to be the least effectively inactivated viruses of their type in RGW (6). Disinfection experiments were carried out in duplicate in pH 7 and 8 source water at 5 and 15°C using 0.2 and 1 mg/liter free chlorine. Inactivation curves were plotted using Microsoft Excel, and CT values were calculated using the efficiency factor Hom (EFH) model (9).  相似文献   

9.
Inactivation of Cryptosporidium parvum oocysts by ozone was performed in ozone demand-free 0.05 M phosphate buffer (pH 6.9) in bench-scale batch reactors at 7 and 22 degrees C. Ozone was added to each trial from a concentrated stock solution for contact times ranging from 5 to 15 min. The viability of the control and treated oocysts was determined by using in vitro excystation and infection in neonatal CD-1 mice. It was found that excystation consistently underestimated inactivation when compared with animal infectivity (P < or = 0.05). As inactivations increased, the difference between excystation and infectivity also increased. The inactivation kinetics of C. parvum by ozone deviated from the simple first-order Chick-Watson model and was better described by a nonlinear Hom model. The use of the Hom model for predicting inactivation resulted in a family of unique concentration and time values for each inactivation level rather than the simple CT product of the Chick-Watson model.  相似文献   

10.
Inactivation of Giardia lamblia and Giardia muris cysts was compared by using an ozone demand-free 0.05 M phosphate buffer in bench-scale batch reactors at 22 degrees C. Ozone was added to each trial from a concentrated stock solution for contact times of 2 and 5 min. The viability of the control and treated cysts was evaluated by using the C3H/HeN mouse and Mongolian gerbil models for G. muris and G. lamblia, respectively. The resistance of G. lamblia to ozone was not significantly different from that of G. muris under the study conditions, contrary to previously reported data that suggested G. lamblia was significantly more sensitive to ozone than G. muris was. The simple Ct value for 2 log unit inactivation of G. lamblia was 2.4 times higher than the Ct value recommended by the Surface Water Treatment Rule.  相似文献   

11.
The downward migration through soil of seeded poliovirus type 1 and echovirus type 1 and of naturally occurring enteroviruses during infiltration of sewage effluent through rapid-infiltration basins was investigated. After 5 days of flooding, the amount of seeded poliovirus type 1 that had migrated 5 to 10 cm downward through the soil profile was found to be 11% of that remaining at the initial burial depth. The amount of echovirus type 1 determined to have moved an equal distance was at least 100-fold less. Migration of naturally occurring enteroviruses during infiltration of sewage effluent through soil could not be measured with accuracy because of the possibility of virus survival from previous applications of effluent. The rate of inactivation for seeded poliovirus 1 and echovirus 1 buried in the infiltration basins ranged between 0.04 and 0.15 log10 units per day during the time when the basins were flooded. Inactivation of these same seeded virus types and of indigenous enterovirus populations in the infiltration basins during the drying portion of the sewage application cycle ranged between 0.11 and 0.52 log10 units per day. The rate of virus inactivation was dependent upon the rate of soil moisture loss. These results indicate that drying cycles during the land application of wastewater enhance virus inactivation in the soil.  相似文献   

12.
The downward migration through soil of seeded poliovirus type 1 and echovirus type 1 and of naturally occurring enteroviruses during infiltration of sewage effluent through rapid-infiltration basins was investigated. After 5 days of flooding, the amount of seeded poliovirus type 1 that had migrated 5 to 10 cm downward through the soil profile was found to be 11% of that remaining at the initial burial depth. The amount of echovirus type 1 determined to have moved an equal distance was at least 100-fold less. Migration of naturally occurring enteroviruses during infiltration of sewage effluent through soil could not be measured with accuracy because of the possibility of virus survival from previous applications of effluent. The rate of inactivation for seeded poliovirus 1 and echovirus 1 buried in the infiltration basins ranged between 0.04 and 0.15 log10 units per day during the time when the basins were flooded. Inactivation of these same seeded virus types and of indigenous enterovirus populations in the infiltration basins during the drying portion of the sewage application cycle ranged between 0.11 and 0.52 log10 units per day. The rate of virus inactivation was dependent upon the rate of soil moisture loss. These results indicate that drying cycles during the land application of wastewater enhance virus inactivation in the soil.  相似文献   

13.
Inactivation rates of polioviruses 1 and 3 and coxsackieviruses A-13 and B-1 were determined in situ in the Rio Grande in southern New Mexico, using membrane dialysis chambers. Inactivation of the viruses was exponential, and the rates of inactivation were apparently affected principally by the water temperature. Stability of the viruses in river water differed, with poliovirus 1 and coxsackie B-1 being most stable. Typically 1-log reductions of infectivity at water temperatures ranging between 23 and 27 degrees C required 25 h for poliovirus 1, 19 h for poliovirus 3, and 7 h for coxsackie virus A-13. At water temperatures of 4 to 8 degrees C, the log reduction times for poliovirus 1 and coxsackievirus B-1 were 46 and 58 h, respectively. Results obtained with labeled poliovirus 1 and coxsackievirus B-1 and with infectious ribonucleic acid indicate that inactivation was due to damage to viral ribonucleic acid. Virus-inactivation rates were also affected by heat sterilization of river water, indicating the presence of a heat-labile or volatile inactivating factor. The inactivating factor in Rio Grande water was apparently present at a constant concentration over a 1-year period.  相似文献   

14.
Inactivation of polioviruses and coxsackieviruses in surface water.   总被引:10,自引:10,他引:0       下载免费PDF全文
Inactivation rates of polioviruses 1 and 3 and coxsackieviruses A-13 and B-1 were determined in situ in the Rio Grande in southern New Mexico, using membrane dialysis chambers. Inactivation of the viruses was exponential, and the rates of inactivation were apparently affected principally by the water temperature. Stability of the viruses in river water differed, with poliovirus 1 and coxsackie B-1 being most stable. Typically 1-log reductions of infectivity at water temperatures ranging between 23 and 27 degrees C required 25 h for poliovirus 1, 19 h for poliovirus 3, and 7 h for coxsackie virus A-13. At water temperatures of 4 to 8 degrees C, the log reduction times for poliovirus 1 and coxsackievirus B-1 were 46 and 58 h, respectively. Results obtained with labeled poliovirus 1 and coxsackievirus B-1 and with infectious ribonucleic acid indicate that inactivation was due to damage to viral ribonucleic acid. Virus-inactivation rates were also affected by heat sterilization of river water, indicating the presence of a heat-labile or volatile inactivating factor. The inactivating factor in Rio Grande water was apparently present at a constant concentration over a 1-year period.  相似文献   

15.
Mechanism of enteroviral inactivation by ozone   总被引:4,自引:0,他引:4  
The mechanism of enteroviral inactivation by ozone was investigated with poliovirus 1 (Mahoney) as the model virus. Ozone was observed to alter two of the four polypeptide chains present in the viral protein coat of poliovirus 1. However, the alteration of the protein coat did not significantly impair virus adsorption or alter the integrity of the virus particle. Damage to the viral RNA after exposure to ozone was demonstrated by velocity sedimentation analysis. It was concluded that the damage to the viral nucleic acid is the major cause of poliovirus 1 inactivation by ozone.  相似文献   

16.
Mechanism of enteroviral inactivation by ozone.   总被引:7,自引:2,他引:5       下载免费PDF全文
The mechanism of enteroviral inactivation by ozone was investigated with poliovirus 1 (Mahoney) as the model virus. Ozone was observed to alter two of the four polypeptide chains present in the viral protein coat of poliovirus 1. However, the alteration of the protein coat did not significantly impair virus adsorption or alter the integrity of the virus particle. Damage to the viral RNA after exposure to ozone was demonstrated by velocity sedimentation analysis. It was concluded that the damage to the viral nucleic acid is the major cause of poliovirus 1 inactivation by ozone.  相似文献   

17.
Fresh water obtained from nine sources was shown to cause inactivation of poliovirus. Further testing with four of these water samples showed that enteric viruses from different genera were consistently inactivated in these freshwater samples. Studies on the cause of inactivation were conducted with echovirus type 12 as the model virus. The results revealed that the virucidal agents in the waters tested could not be separated from microorganisms. Any treatment that removed or inactivated microorganisms caused loss of virucidal activity. Microbial growth in a sterilized creek water seeded with a small amount of stream water resulted in concomitant production of virucidal activity. When individual bacterial isolates obtained from a stream were grown in this sterilized creek water, most (22 of 27) produced a large amount of virucidal activity, although the amount varied from one isolate to the next. Active and inactive isolates were represented by both gram-positive and gram-negative organisms. Examination of echoviruses inactivated in stream water revealed that loss of infectivity first correlated with a slight decrease in the sedimentation coefficient of virus particles. The cause appeared to be cleavage of viral proteins, most notably, VP-4 and, to a lesser extent, VP-1. Viral RNA associated with particles was also cleaved but the rate was slower than loss of infectivity. These results suggest that proteolytic bacterial enzymes inactivate echovirus particles in fresh water by cleavage of viral proteins, thus exposing the viral RNA to nuclease digestion.  相似文献   

18.
Mechanism of inactivation of enteric viruses in fresh water.   总被引:9,自引:8,他引:1       下载免费PDF全文
Fresh water obtained from nine sources was shown to cause inactivation of poliovirus. Further testing with four of these water samples showed that enteric viruses from different genera were consistently inactivated in these freshwater samples. Studies on the cause of inactivation were conducted with echovirus type 12 as the model virus. The results revealed that the virucidal agents in the waters tested could not be separated from microorganisms. Any treatment that removed or inactivated microorganisms caused loss of virucidal activity. Microbial growth in a sterilized creek water seeded with a small amount of stream water resulted in concomitant production of virucidal activity. When individual bacterial isolates obtained from a stream were grown in this sterilized creek water, most (22 of 27) produced a large amount of virucidal activity, although the amount varied from one isolate to the next. Active and inactive isolates were represented by both gram-positive and gram-negative organisms. Examination of echoviruses inactivated in stream water revealed that loss of infectivity first correlated with a slight decrease in the sedimentation coefficient of virus particles. The cause appeared to be cleavage of viral proteins, most notably, VP-4 and, to a lesser extent, VP-1. Viral RNA associated with particles was also cleaved but the rate was slower than loss of infectivity. These results suggest that proteolytic bacterial enzymes inactivate echovirus particles in fresh water by cleavage of viral proteins, thus exposing the viral RNA to nuclease digestion.  相似文献   

19.
Since temperature affects the inactivation rate of viruses in natural water systems, the aim of this study was to determine if a temperature shift could influence the structural integrity of model viruses. When crude lysates of MS-2 phage were seeded into groundwater microcosms and incubated at 27 degrees C, complete virus inactivation took place in eight days. The temperature was then shifted to 4 degrees C. Three days after the temperature shift, a two-log increase in virus titer (reactivation) occurred. However, when purified MS-2 lysates were added to groundwater microcosms, no reactivation was obtained. No reactivation of poliovirus took place when similar microcosm experiments were done. The sedimentation coefficients of MS-2 shifted from 80S to 58S, 48S, 37S, 32S, and 18S as inactivation proceeded in groundwater and distilled water controls. Similarly, the sedimentation coefficients of polioviruses changed from 156S to 142S, 135S, 117S, 105S, 95S, and 80 S as inactivation took place. There was no correlation between % virus inactivation and % decrease in virions with intact sedimentation coefficients, as reported earlier for poliovirus inactivated by chlorine. The results presented support our hypothesis that virus inactivation proceeds gradually, involving the rearrangement and (or) loss of capsomere components that may eventually lead to the ejection of nucleic acids. The intermediate particles generated as inactivation proceeds may be in a reversibly inactivated state, and may revert back to a fully infectious state when chemical components stabilize the virus particle.  相似文献   

20.
Newcastle disease virus in allantoamnionic fluid was photosensitized with acridine orange, and then photodynamically inactivated. The inactivation rate was directly proportional to light intensity and to dye concentrations up to a level of approximately 100 to 200 μg/ml. Inactivation occurred at approximately an exponential rate for the first 4.5 log10 units of virus, and then continued at a decreasing rate.  相似文献   

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