A further study of the recovery and purification of surfactin from fermentation broth by membrane filtration

Surfactin is a bacterial lipopeptide produced by Bacillus subtilis and is a powerful surfactant, having also antiviral, antibacterial and antitumor properties. The recovery and purification of surfactin from complex fermentation broths is a major obstacle to its commercialization; therefore, a two-step membrane filtration process was developed using a lab scale tangential flow filtration (TFF) unit with 10 kDa MWCO regenerated cellulose (RC) and polyethersulfone (PES)membranes at three different transmembrane pressure (TMP) of 1.5 bar, 2.0 bar and 2.5 bar. Two modes of filtrations were studied, with and without cleaning of membranes prior to UF-2. In a first step of ultrafiltration (UF-1), surfactin was retained effectively by membranes at above its critical micelle concentration (CMC); subsequently in UF-2, the retentate micelles were disrupted by addition of 50% (v/v) methanol solution to allow recovery of surfactin in the permeate. Main protein contaminants were effectively retained by the membrane in UF-2. Flux of permeates, rejection coefficient (R) of surfactin and proteinwere measured during the filtrations. Overall the three different TMPs applied have no significant effect in the filtrations and PES is the more suitable membrane to selectively separate surfactin from fermentation broth, achieving high recovery and level of purity. In addition this two-step UF process is scalable for larger volume of samples without affecting the original functionality of surfactin, although membranes permeability can be affected due to exposure to methanolic solution used in UF-2.

Effect of operating parameters and cleaning on the performance of ceramic membranes treating partially clarified sugar cane juice

The performance of ceramic membranes with pore sizes of 0.05 and 0.10 mm in purifying limed and partially clarified sugar cane juice was investigated under different operating conditions. From various operating conditions and strategies, switching off the permeate for 5 seconds for every 5 minutes (S5sT5 m) by an automated control valve provided higher flux. From the three pH experiments conducted on the 0.05 mm membrane, the best performance was observed at a pH of 7.5. Amongst the four fouling models tested, the cake filtration model fitted the performance of both membranes with higher accuracy at a transmembrane pressure of 0.5 bar. Filtering the cane juice through the membrane reduced the turbidity by 99.7%, color by 15%, and the starch concentration by 80% as well as increased the purity by 1.4%. The effective cleaning chemical composition from experimental results showed that 1% NaOH and 3000 ppm NaOCl solution performed the best but only for the experiments that were treating limed and partially clarified juice at pH 7.5.

Powdered activated carbon for fouling reduction of membrane in a pilot-scale recirculation aquaculture system

Recirculating aquaculture systems (RAS) are essential for the reduction in fresh water usage as well as the discharge of nutrients along with aquaculture effluents. A RAS consisting of an anoxic reactor, a membrane bioreactor (MBR) and a UV-disinfection unit was used to process 10,000 L/d of aquaculture effluent providing high-quality treated water for recirculation to a Barramundi fish culture. The system maintained low levels of nitrate (<20 mg/L), nitrite (<3 mg/L) and ammonia (<0.6 mg/L) in the fish tank. Permeate from the membrane that was recirculated to the fish tank contained <21 mg/L of nitrate, <2 mg/L of nitrite and 0 mg/L of ammonia. However, the rate of fouling of the membrane in the MBR was around 1.47 kPa/d, and the membrane in the MBR required cleaning due to fouling after 16 days. Cleaning of the membrane was initiated when the TMP reached around 25 to 30 kPa. In order to reduce the rate of fouling, 500 mg of powdered activated carbon (PAC) per litre of MBR volume was introduced, which decreased the rate of fouling to 0.90 kPa/d. Cleaning of membrane was needed only after 31 days of operation while maintaining the treated effluent quality. Thus the frequency of cleaning could be halved due to the introduction of PAC into the MBR.

Performance evaluation of different ultrafiltration membranes for the reclamation and reuse of secondary effluent

This study investigates and compares the performance of two different types of ultrafiltration (UF) membranes in the recovery of water from secondary treated wastewater. Filtration experiments were carried out on a pilot scale cross-flow unit using synthetic wastewater similar to the quality of secondary treated wastewater by varying the operating parameters such as transmembrane pressure (TMP), feed composition and membrane configuration. The filtration experiments demonstrated that the flux recovery through spiral polymeric UF membrane was more sensitive to the variation in TMP compared to the tubular ceramic UF membrane over the range of TMP studied. The resistance in series model was used for the evaluation of the resistance to the permeate flux. The fouling resistance, particularly irreversible resistance compared to reversible resistance plays a major role in the total resistance for the tubular ceramic membrane. In contrast clean membrane resistance is the major contributor for the total resistance of the spiral polymeric membrane. Finally, the effectiveness of the filtration treatment was determined by evaluating the rejection coefficients for various pollution indices of the wastewater. Significant differences in the performance of the membrane types were observed which are likely to impact on the selection, operation and maintenance of the membrane system.

Reaproveitamento de meio de cultivo de Arthrospira platensis tratado por processos de microfiltração e ultrafiltração

Micro-organismos fotossintetizantes, incluído aqui o gênero Arthrospira, vêm sendo amplamente produzidos em larga escala em vários países, detendo um mercado que gera mais de 1 bilhão de dólares ao ano. A produção industrial utiliza grande volume de água com alta concentração salina para produzir milhares de toneladas de biomassa microalgal. É crescente a utilização de tratamento de águas por processo de separação por membranas, demonstrando ser uma técnica que gera água de ótima qualidade, de instalação compacta e de fácil automação. No presente trabalho, foi avaliada esta tecnologia para o reaproveitamento do meio de cultura em novos cultivos de micro-organismos fotossintetizantes, visando contribuir para a sustentabilidade deste processo produtivo. O efluente do cultivo de Arthrospira platensis oriundo de processo descontínuo em minitanques foi submetido a tratamento por membranas de filtração tangencial, incluindo microfiltração (MF) (porosidades de 0,65 µm e de 0,22 µm) e ultrafiltração (UF) (peso molecular de corte de 5.000 Da), em pressões transmembrana (TMP) de 22,5 a 90 kPa. Os processos de MF levaram a reduções médias de 53,9±1,3 % e 93,1±1,1 % de matéria orgânica natural (NOM) e pigmentos nos meios residuais, respectivamente. Com o uso de processos de UF, cujos meios foram previamente tratados por MF (0,22 µm e 22,5 kPa), as reduções médias de NOM e pigmentos foram de 57,2±0,5 % e 94,0±0,8 %, respectivamente. Os processos de MF com TMP de 22,5 kPa levaram a concentrações celulares máximas (Xm) equivalentes às obtidas com meio novo. O uso de membrana de 0,65 µm e TMP de 22,5 kPa levou a uma perda média de 2,9 %, 22,7 % e 16,4% dos nutrientes carbonato, fosfato e nitrato, respectivamente, mas a correção desses valores aos mesmos do meio padrão levou à obtenção dos mais altos valores de Xm (3586,6±80 mg L-1), produtividade em células (505,0±11,6 mg L-1 d-1) e fator de conversão de nitrogênio em células (29,6±0,7 mg mg-1). O teor protéico da biomassa foi estatisticamente igual ao da biomassa obtida de cultivo com meio padrão novo. Os dados deste trabalho evidenciam que processos de filtração por membrana são promissores para o reuso de meio de micro-organismos fotossintetizantes.

Purification of plasmid DNA for use in human gene therapy

Two key issues defined the focus of this research in manufacturing plasmid DNA for use In human gene therapy. First, the processing of E.coli bacterial cells to effect the separation of therapeutic plasmid DNA from cellular debris and adventitious material. Second, the affinity purification of the plasmid DNA in a Simple one-stage process. The need arises when considering the concerns that have been recently voiced by the FDA concerning the scalability and reproducibility of the current manufacturing processes in meeting the quality criteria of purity, potency, efficacy, and safety for a recombinant drug substance for use in humans. To develop a preliminary purification procedure, an EFD cross-flow micro-filtration module was assessed for its ability to effect the 20-fold concentration, 6-time diafiltration, and final clarification of the plasmid DNA from the subsequent cell lysate that is derived from a 1 liter E.coli bacterial cell culture. Historically, the employment of cross-flow filtration modules within procedures for harvesting cells from bacterial cultures have failed to reach the required standards dictated by existing continuous centrifuge technologies, frequently resulting in the rapid blinding of the membrane with bacterial cells that substantially reduces the permeate flux. By challenging the EFD module, containing six helical wound tubular membranes promoting centrifugal instabilities known as Dean vortices, with distilled water between the Dean number's of 187Dn and 818Dn,and the transmembrane pressures (TMP) of 0 to 5 psi. The data demonstrated that the fluid dynamics significantly influenced the permeation rate, displaying a maximum at 227Dn (312 Imh) and minimum at 818Dn (130 Imh) for a transmembrane pressure of 1 psi. Numerical studies indicated that the initial increase and subsequent decrease resulted from a competition between the centrifugal and viscous forces that create the Dean vortices. At Dean numbers between 187Dn and 227Dn , the forces combine constructively to increase the apparent strength and influence of the Dean vortices. However, as the Dean number in increases above 227 On the centrifugal force dominates the viscous forces, compressing the Dean vortices into the membrane walls and reducing their influence on the radial transmembrane pressure i.e. the permeate flux reduced. When investigating the action of the Dean vortices in controlling tile fouling rate of E.coli bacterial cells, it was demonstrated that the optimum cross-flow rate at which to effect the concentration of a bacterial cell culture was 579Dn and 3 psi TMP, processing in excess of 400 Imh for 20 minutes (i.e., concentrating a 1L culture to 50 ml in 10 minutes at an average of 450 Imh). The data demonstrated that there was a conflict between the Dean number at which the shear rate could control the cell fouling, and the Dean number at which tile optimum flux enhancement was found. Hence, the internal geometry of the EFD module was shown to sub-optimal for this application. At 579Dn and 3 psi TMP, the 6-fold diafiltration was shown to occupy 3.6 minutes of process time, processing at an average flux of 400 Imh. Again, at 579Dn and 3 psi TMP the clarification of the plasmid from tile resulting freeze-thaw cell lysate was achieved at 120 Iml1, passing 83% (2,5 mg) of the plasmid DNA (6,3 ng μ-1 10.8 mg of genomic DNA (∼23,00 Obp, 36 ng μ-1 ), and 7.2 mg of cellular proteins (5-100 kDa, 21.4 ngμ-1 ) into the post-EFD process stream. Hence the EFD module was shown to be effective, achieving the desired objectives in approximately 25 minutes. On the basis of its ability to intercalate into low molecular weight dsDNA present in dilute cell lysates, and be electrophoresed through agarose, the fluorophore PicoGreen was selected for the development of a suitable dsDNA assay. It was assesseel for its accuracy, and reliability, In determining the concentration and identity of DNA present in samples that were eleclrophoresed through agarose gels. The signal emitted by intercalated PicoGreen was shown to be constant and linear, and that the mobility of the PicaGreen-DNA complex was not affected by the intercalation. Concerning the secondary purification procedure, various anion-exchange membranes were assessed for their ability to capture plasmid DNA from the post-EFD process stream. For a commercially available Sartorius Sartobind Q15 membrane, the reduction in the equilibriumbinding capacity for  ctDNA in buffer of increasing ionic demonstrated that DNA was being.adsorbed by electrostatic  interactions only. However, the problems associated with fluid distribution across the membrane demonstrated that the membrane housing was the predominant cause of the .erratic breakthrough curves. Consequently, this would need to be rectified before such a membrane could be integrated into the current system, or indeed be scaled beyond laboratory scale. However, when challenged with the process material, the data showed that considerable quantities of protein (1150 μg) were adsorbed preferentially to the plasmid DNA (44 μg). This was also shown for derived Pall Gelman UltraBind US450 membranes that had been functionalised by varying molecular weight poly-L~lysine and polyethyleneimine ligands. Hence the anion-exchange membranes were shown to be ineffective in capturing plasmid DNA from the process stream. Finally, work was performed to integrate a sequence-specific DNA·binding protein into a single-stage DNA chromatography, isolating plasmid DNA from E.coli cells whilst minimising the contamination from genomic DNA and cellular protein. Preliminary work demonstrated that the fusion protein was capable of isolating pUC19 DNA into which the recognition sequence for the fusion-protein had been inserted (pTS DNA) when in the presence of the conditioned process material. Althougth the pTS recognition sequence differs from native pUC19 sequences by only 2 bp, the fusion protein was shown to act as a highly selective affinity ligand for pTS DNA alone. Subsequently, the scale of the process was scaled 25-fold and positioned directly following the EFD system. In conclusion, the integration of the EFD micro-filtration system and zinc-finger affinity purification technique resulted in the capture of approximately 1 mg of plasmid DNA was purified from 1L of E.coli  culture in a simple two stage process, resulting in the complete removal of genomic DNA and 96.7% of cellular protein in less than 1 hour of process time.

Preparation of uniform calcium alginate gel beads by membrane emulsification coupled with internal gelation

With the objective of making calcium alginate gel beads with small and uniform size, membrane emulsification coupled with internal gelation was proposed. Spherical gel beads with mean size of about 50 mum, and even smaller ones in water, and with narrow size distribution were successfully obtained. Experimental studies focusing mainly on the effect of process parameters on bead properties were performed. The size of the beads was mainly dependent on the diameter of the membrane pores. High transmembrane pressure made for large gel beads with wide size distribution. Low sodium alginate concentration produced nonspherical beads, whereas a high concentration was unsuitable for the production of small beads with narrow distribution. Thus 1.5% w/v was enough. A high surfactant concentration favored the formation of small beads, but the adverse effect on mass transfer should be considered in this novel process. (C) 2002 Wiley Periodicals, Inc.

Caracterização de novas membranas de titanossilicatos microporosos por ensaios de permeabilidade

O interesse crescente das membranas inorgânicas deve-se à potencial aplicação em novas áreas de investigação e da indústria, e em alternativa a operações mais convencionais. Em particular, as membranas de titanossilicatos oferecem vantagens importantes sobre as de zeólitos, pois podem ser sintetizadas sem agentes estruturantes orgânicos, para evitar a calcinação subsequente usualmente responsável por defeitos irreversíveis, exibem novas possibilidades de substituição isomórfica da matriz, permitindo um ajuste mais fino das propriedades catalíticas e de adsorção, e são capazes de separar misturas com base em diferenças de afinidade e tamanho molecular (efeito de peneiro). Os objectivos principais deste trabalho foram: i) a caracterização dinâmica de membranas do tipo zeolítico sintetizadas no Laboratório Associado CICECO, realizando-se experiências de permeação com gases puros e misturas; ii) o desenvolvimento e validação de novos modelos para a transferência de massa multicomponente através de membranas porosas pela abordagem de Maxwell-Stefan, tendo em conta os mecanismos específicos encontrados, particularmente a contribuição por difusão superficial; e iii) a modelação dos pontos experimentais medidos, bem como dados compilados da literatura. De forma a realizar os ensaios de permeação, desenhou-se, montou-se e testou-se uma instalação experimental. Para gases puros, os objectivos principais foram a medição de permeâncias a temperatura constante, por variação da pressão transmembranar r ( ΔP ), e de permeâncias a temperatura programada, conduzidas a ΔP constante. Seguidamente, calcularam-se as selectividades ideais. Em relação a misturas, a determinação de selectividades reais requer as fracções molares no permeado e no retido. Na globalidade, estudaram-se três suportes diferentes (aço inoxidável e α − alumina) e dezanove membranas de AM-3, ETS-10, ZSM-5 e zeólito 4A, utilizando-se H2, He, N2, CO2, e O2. A primeira avaliação exploratória da qualidade das membranas foi feita permeando azoto à temperatura ambiente. Assim, permeâncias superiores a 10−6 mol/m2s.Pa evidenciavam defeitos grosseiros, levando-nos a efectuar cristalizações adicionais sobre as primeiras camadas. Este procedimento foi implementado com oito membranas. Um trabalho experimental mais detalhado foi conduzido com cinco membranas. Membranas com curvas permeância-temperatura ( Π −T ) decrescentes indicam tipicamente transporte viscoso e de Knudsen, i.e. meso e macrodefeitos. Por exemplo, a membrana nº 3 de AM-3 exibiu este comportamento com H2, He, N2 e CO2 puros. A contribuição de Knudsen foi confirmada pela relação linear encontrada entre as permeâncias e o inverso da raiz quadrada da massa molar. O mecanismo viscoso foi também identificado, pois as permeâncias eram inversamente proporcionais à viscosidade do gás ou, atendendo a equações do tipo de Chapman-Enskog, directamente proporcionais a 2 0.5 k d M (onde k d é o diâmetro cinético e M a massa molar). Um comportamento de permeação distinto observou-se com a membrana nº 5 de AM-3. As permeâncias registadas a temperatura programada eram aproximadamente constantes para o N2, CO2 e O2, enquanto com o H2 cresciam significativamente. Conjuntamente elas evidenciam a ocorrência de macro, meso e microdefeitos intercristalinos. O transporte gasoso activado através dos microporos compensa o impacto diminuidor dos meso e macroporos. Ao contrário do N2, CO2 e O2, o pequeno diâmetro do hidrogénio torna-lhe possível permear através dos microporos intracristalinos, o que lhe adiciona um mecanismo de transferência responsável por esse crescimento. No que respeita à difusão superficial, o sistema CO2/ZSM-5 pode ser tomado como um exemplo paradigmático. Uma vez que este zeólito adsorve o CO2, as permeâncias diminuem com o crescimento de ΔP , em virtude de as concentrações no sólido aumentarem de forma não linear e tenderem para a saturação. Os resultados contrastantes obtidos com azoto realçam ainda mais o mecanismo superficial, pois o N2 não é adsorvido e as permeâncias medidas são constantes. Globalmente, as selectividades ideais calculadas ( α* ) variam de cerca de 1 a 4.2. Este parâmetro foi também utilizado para discriminar as melhores membranas, uma vez que baixos valores de α* denotam o escoamento viscoso não-selectivo típico de macrodefeitos. Por exemplo, o H2/CO2 na membrana nº 3 de AM-3 apresentou α* = 3.6 − 4.2 para 40–120ºC, enquanto que na membrana nº 5 de AM-3 originou α* = 2.6 − 3.1. Estes resultados corroboraram as observações anteriores, segundo as quais a membrana nº 5 era melhor do que a nº 3. Alguns ensaios foram realizados com membranas saturadas com água para aumentar a selectividade: as medições mostraram claramente uma melhoria inicial seguida de uma redução consistente de α* com o aumento da temperatura, devido à remoção das moléculas de água responsáveis pela obstrução de alguns poros. Em relação às selectividades reais de misturas contendo hidrogénio, devem ser realizadas mais experiências e a quantificação do hidrogénio deve ser melhorada. No que concerne à modelação, novos factores termodinâmicos de Maxwell- Stefan foram derivados para as isotérmicas mono e multicomponente de Nitta, Langmuir-Freundlich e Toth, tendo sido testadas com dados de equilíbrio e de permeação da literatura. (É importante realçar que só estão publicadas equações para Langmuir e Dual-Site Langmuir de componentes puros e misturas). O procedimento de validação adoptado foi exigente: i) as isotérmicas multicomponente foram previstas a partir das de gás puro; ii) os parâmetros de difusão dos componentes puros foram ajustados a dados de permeação de cada gás; iii) depois, as difusividades cruzadas de Maxwell- Stefan foram estimadas pela relação de Vignes; finalmente, v) as novas equações foram testadas usando-se estes parâmetros, tendo sido capazes de estimar com sucesso fluxos binários. Paralelamente ao enfoque principal do trabalho, derivou-se um novo modelo para permuta iónica em materiais microporosos baseado nas equações de Maxwell-Stefan. Este foi validado com dados experimentais de remoção de Hg2+ e Cd2+ de soluções aquosas usando ETS-4. A sua capacidade preditiva foi também avaliada, sendo possível concluir que se comporta muito bem. Com efeito, conseguiram-se boas previsões com parâmetros optimizados a partir de conjuntos de dados independentes. Este comportamento pode ser atribuído aos princípios físicos sólidos da teoria de Maxwell-Stefan.

Development of an air-scour control system for membrane bioreactors

The thesis involves the development and implementation of a new and robust control system based on permeability trends but at the same time capable of reducing aeration proportionally to permeate flux. Permeability was made a key parameter for directly comparing temporary changes in membrane performance. Transmembrane pressure and flux were gathered every 10 seconds and permeability values were automatically calculated; different mathematical algorithms were applied for the signal filtering of on-line data. Short term and long term permeability trends were compared once a day, and a control action was applied proportionally to the short term/long term permeability ratio without exceeding the aeration flow recommended by the membrane suppliers.

The application of ultrasound to dairy ultrafiltration : the influence of operating conditions

Work previously presented has shown that ultrasound can be effective in enhancing both the production and cleaning cycles of dairy membrane  processes. In this present work we extend these previous results to consider the effect of ultrasonic frequency and the use of intermittent ultrasound. These results show that the use of continuous low frequency (50 kHz) ultrasound is most effective in both the fouling and cleaning cycles. The application of intermittent high frequency (1 MHz) ultrasound is less effective. At higher transmembrane pressure, high frequency pulsed sonication can indeed lead to a reduction in steady state membrane flux. The benefits of ultrasound arise from a reduction in both concentration polarization and in the resistance provided by the more labile protein deposits that are removed during a water wash. Conversely, the loss of membrane flux when high frequency pulsed sonication is used arises from a significant increase in the more tenacious ‘irreversible’ fouling deposit.

The optimisation of ultrasonic cleaning procedures for dairy fouled ultrafiltration membranes

Ultrafiltration (UF) of whey is a major membrane based process in the dairy industry. However, commercialization of this application has been limited by membrane fouling, which has a detrimental influence on the permeation rate. There are a number of different chemical and physical cleaning methods currently used for cleaning a fouled membrane. It has been suggested that the cleaning frequency and the severity of such cleaning procedures control the membrane lifetime. The development of an optimal cleaning strategy should therefore have a direct implication on the process economics. Recently, the use of ultrasound has attracted considerable interest as an alternative approach to the conventional methods. In the present study, we have studied the ultrasonic cleaning of polysulfone ultrafiltration membranes fouled with dairy whey solutions. The effects of a number of cleaning process parameters have been examined in the presence of ultrasound and results compared with the conventional operation. Experiments were conducted using a small single sheet membrane unit that was immersed totally within an ultrasonic bath. Results show that ultrasonic cleaning improves the cleaning efficiency under all experimental conditions. The ultrasonic effect is more significant in the absence of surfactant, but is less influenced by temperature and transmembrane pressure. Our results suggest that the ultrasonic energy acts primarily by increasing the turbulence within the cleaning solution.

Biodegradation of pentachlorophenol in a membrane bioreactor

Pentachlorophenol (PCP) is a toxic chemical, often used in the formulation of pesticide, herbicide, anti fungal agent, bactericide and wood preservative. This study is aimed at evaluating the potential of membrane bioreactor (MBR) to treat PCP contaminated wastewater. Synthetic wastewater with COD of 600 mg/L was fed into the MBR at varied PCP loading rate of 12–40 mg/m3/d. A PCP removal rate of 99% and a COD removal rate of 95% were achieved at a hydraulic retention time of 12 hs and a mixed liquor suspended solids (MLSS) concentration of 10,000 mg/L. When sodium pentachlorophenol (NaPCP), which has higher solubility in water, was used in the second phase of the study, at loading rates varying from 20 to 200 mg/m3·d, the removal rate of NaPCP was higher than 99% and the removal rate of COD was more than 96%. It was also found that at higher biomass concentrations, biosorption played an important role besides the biodegradation process. Batch experiments conducted in this study revealed that the sorption capacity to be 0.63 (mg PCP/g biomass) and occurred rapidly within 60 min. This phenomenon could enhance the PCP degradation through increased contact between microorganism and PCP. Further, the membrane resistance was low (trans-membrane pressure of 14 kPa) even after more than 100 ds of operation. In addition, the toxic level of PCP in the influent could have induced the microorganisms to secrete more extra-cellular polymeric substances (EPS) for their protection, which in turn must have increased the viscosity of the mixed liquor.

Biological treatment of oily wastewater from gas stations by membrane bioreactor

In many Asian countries, rapid industrialization and urbanization has led to an increased number of cars, making wastewater from gas stations an important issue of concern in urban environment. This wastewater is characterized by high concentration of oil-water emulsion, which cannot be effectively removed by a conventional gravity separator. An experimental investigation on the treatability of oily wastewater from gas stations using a membrane bioreactor (MBR) system revealed that MBR system could achieve good removal efficiency with stability against shock loading. Optimum operating conditions were found to be at a hydraulic retention time of 4 h and an oil-loading rate of 1.8 kg oil m^sup -3^.d^sup -1^. It was anticipated that adding powdered activated carbon (PAC) in the MBR could help to adsorb the oils. However, operating the MBR with only microbial flocs has an advantage over adding PAC particles into the MBR, since the former condition could provide a prolonged cycle of filtration with a relatively lesser increase in transmembrane pressure.