Use Of Different Formulations Research Articles

Optimal sensor placement and estimator-based temperature control for a deep drawing process

Deep drawing is one of the most important forming processes for the forming of flat sheet blanks, where the formation of wrinkles and the appearance of cracks can be a problem, especially in areas of high geometric complexity. The local increase of the temperature in these critical areas can help to improve the formability of the material and thus reduce defects. The present paper aims at a targeted temperature control of the die of a deep-drawing mold. For this sensors are placed systematically to develop an estimator for the spatial–temporal temperature evolution to subsequently realize tracking control using the embedded actuation devices. A continuum representation of the temperature distribution in the die is derived and transferred to a high order finite element (FE) approximation to take the complex-shaped geometry of the tool into account. Parameter identification is performed based on measurement data to improve the accuracy of the FE approximation and model order reduction (MOR) techniques are applied to determine a sufficiently low order system representation. A mixed-integer optimization problem is formulated and solved making use of different formulations of the observability Gramian to determine the optimal sensor locations and a Kalman filter is designed as an estimator based on a reduced order model. Moreover, a linear-quadratic regulator with integral part combined with the Kalman filter is developed to react efficiently towards disturbances. Finally this theoretical framework is tested in a real experiment.

The Use of Toothpastes Containing Different Formulations of Fluoride and Bioglass on Bleached Enamel

To investigate the application of toothpaste either containing calcium sodium phospho-silicate bioglass (NovaMin) or calcium fluorosilicate bioglass (BioMinF) on the surface mineral composition and morphology of enamel after bleaching procedure. Methods: Thirty extracted noncarious human teeth were allocated into five groups (n = 6). Group 1: Bleaching using 40% hydrogen peroxide (HP) and fluoridated toothpaste containing bioactive glass (1450 ppm fluoride). Group 2: Bleaching using 40%HP and toothpaste containing calcium fluorosilicate bioglass (540 ppm fluoride). Group 3: Bleaching using 40%HP and fluoridated toothpaste (1450 ppm fluoride). Group 4: Bleaching alone using 40%HP. Group 5: Negative control with distilled water alone. The surface morphology was evaluated using Scanning Electron Microscope (SEM) and Scanning Probe Microscope (SPM). The concentration of elements as atomic percentages were determined by X-ray Photoelectron Spectroscopy (XPS) and Energy-Dispersive X-ray Spectroscopy (EDS). Results: This laboratory-based study reported that SPM and SEM detected minor changes on the surfaces of all toothpaste-treated enamel samples (Groups 1-3) after 45 days. Bioactive glass deposits were observed on enamel surfaces in Groups 1 and 2, whilst the bleaching-alone samples (Group 4) had rough enamel surfaces. XPS reported that toothpaste containing calcium fluorosilicate bioglass (Group 2) had a high atomic% of calcium and phosphate, whilst silicon values were high in the toothpaste containing bioactive glass and 1450 ppm fluoride (Group 1) after bleaching procedure when compared to other groups (p < 0.05). In addition, EDS detected the highest %F in Groups 1, 2 and 5. Conclusions: Within the limitations of this laboratory-based study, there was no significant decrease in the Ca%, P% values and surface properties of enamel after the bleaching procedure following the use of different formulations of toothpastes for a period of 45 days. However, the Ca% and P% values were significantly high for the toothpaste containing calcium fluorosilicate bioglass (BioMinF) on the bleached enamel. Clinical relevance: The bleaching process can provide optimum aesthetic outcomes, but the effect of peroxides on hard tissues is still in question. Toothpastes containing different formulations of fluoride and bioactive glass might have the potential to prevent mineral loss on bleached enamel. However, further laboratory-based studies and controlled double-blind randomised clinical trials are required to interpret the effects of toothpastes with different fluoride and bioactive glass formulations on enamel surfaces following bleaching procedures.

Carbon Fibers Prepared via Solution Plasma-Generated Seeds.

Carbon fibers are materials with potential applications for CO2 capture due to their porous structure and high surface areas. Nevertheless, controlling their porosity at a microscale remains challenging. The solution plasma (SP) process provides a fast synthesis route for carbon materials when organic precursors are used. During the discharge and formation of carbon materials in solution, a soot product-denominated solution plasma-generated seeds (SPGS) is simultaneously produced at room temperature and atmospheric pressure. Here, we propose a preparation method for carbon fibers with different and distinctive morphologies. The control over the morphology is also demonstrated by the use of different formulations.

The use of different formulations of tocilizumab in the treatment of patients with moderate to severe COVID-19

The objective of the study : to compare changes in the blood level of C-reactive protein (CRP) during the administration of different formulations of tocilizumab (TCZ) in COVID-19 patients admitted to hospital in real clinical practice. Subjects and methods . The cohort of 14 patients was included in the retrospective study; they all had a severe course of COVID-19 and were admitted to hospital: 7 patients received had intravenous infusions of tocilizumab and 7 had subcutaneous injections. The indication for tocilizumab prescription was the elevation of CRP blood level by 5 times and more or 2-fold and more elevation of ferritin above the norm. In the group receiving subcutaneous injections with tocilizumab, the proportion of elderly people was bigger and CRP levels were higher versus the group receiving intravenous infusions. The efficacy was assessed by changes in CRP levels on the 1st, 3rd and 7th day after the administration. The study included only the patients discharged from hospital with improvement of their state. Results. It has been demonstrated that when the patients develop cytokine storm, the use of both formulations of tocilizumab (for intravenous and subcutaneous administration) is effective. When tocilizumab was administered intravenously, the changes in CRP levels (especially at high rates - more than 150 mg/l) were more intense versus subcutaneous administration. The use of these formulations of tocilizumab had the same long-term efficacy: the level of CRP by the 7th day after administration decreased comparably in both groups, the time of complete normalization of this rate did not differ significantly. The different dynamics of CRP level decrease in each specific case could be associated both with the formulation of the drug and other factors that could not be established.

Coenzyme Q10 Supplementation for the Reduction of Oxidative Stress: Clinical Implications in the Treatment of Chronic Diseases.

Apart from its main function in the mitochondria as a key element in electron transport, Coenzyme Q10 (CoQ10) has been described as having multiple functions, such as oxidant action in the generation of signals and the control of membrane structure and phospholipid and cellular redox status. Among these, the most relevant and most frequently studied function is the potent antioxidant capability of its coexistent redox forms. Different clinical trials have investigated the effect of CoQ10 supplementation and its ability to reduce oxidative stress. In this review, we focused on recent advances in CoQ10 supplementation, its role as an antioxidant, and the clinical implications that this entails in the treatment of chronic diseases, in particular cardiovascular diseases, kidney disease, chronic obstructive pulmonary disease, non-alcoholic fatty liver disease, and neurodegenerative diseases. As an antioxidant, CoQ10 has proved to be of potential use as a treatment in diseases in which oxidative stress is a hallmark, and beneficial effects of CoQ10 have been reported in the treatment of chronic diseases. However, it is crucial to reach a consensus on the optimal dose and the use of different formulations, which vary from ubiquinol or ubiquinone Ubisol-Q10 or Qter®, to new analogues such as MitoQ, before we can draw a clear conclusion about its clinical use. In addition, a major effort must be made to demonstrate its beneficial effects in clinical trials, with a view to making the implementation of CoQ10 possible in clinical practice.

Sensitivity of the stability assessment of a deep excavation to the material characterisations and analysis methods

Due to the spatial variability of material characterisations in deep and large scale excavations, stability assessment is often a challenging task. Numerous slope stability analysis methods based on a range of assumptions and principles are implemented in commercial software packages to ease the process of stability assessment of non-homogeneous and multi-layered slopes. However, the selection of a suitable method remains crucial as the application of an unrealistic or unsuitable method may lead to catastrophic consequences. Besides material shear strength parameters, and analysis methods, non-strength characterisations such as permeability and creep can affect the result of slope stability analysis significantly. In this study, the sensitivity of the stability assessment of a deep excavation in Australia to material characterisations such as friction angle, cohesion and permeability and creep is investigated by the use of different formulations and assumptions of the Limit Equilibrium Method (LEM) and the Finite Element Method (FEM) as the two most common slope stability methods. The results show that the stability assessment is highly sensitive to the applied method and assumptions. Moreover, the role of material strength and non-strength parameters and the selection of a suitable constitutive model in slope stability assessment is presented.

Preoperative, Intraoperative and Postoperative Corticosteroid Use as an Adjunctive Treatment for Rhegmatogenous Retinal Detachment.

The treatment for rhegmatogenous retinal detachment (RRD) is surgery, including pars plana vitrectomy (PPV) and scleral buckling (SB). Despite surgical advances, degeneration of the photoreceptors and post-operative complications, such as proliferative vitreoretinopathy (PVR), often occurs as the result of inflammation, preventing complete visual recovery or causing RRD recurrence. There is increasing evidence that in the presence of RRD, the activation of inflammatory processes occurs and the surgery itself induces an inflammatory response. This comprehensive review focuses on the use of different formulations of corticosteroids (CCS), as an adjunctive treatment to surgery, either PPV or SB, for RRD repair. The purpose was to review the efficacy and safety of CCS in improving functional and anatomical outcomes and in preventing postoperative complications. This review is organized according to the timing of CCS administration: preoperative, intraoperative, and postoperative. The evidence reviewed supported the role of the pre-operative use of CCS in the treatment of combined RRD and choroidal detachment (CD), reducing CD height. No solid consensus exists on intraoperative and postoperative use of CCS to treat and prevent postoperative complications. However, a large randomized clinical trial including more than 200 eyes suggested that oral prednisone after surgery decreases the rate of postoperative grade B PVR.

Hormonal contraceptive use in Australian women: Who is using what?

In Australia many hormonal contraceptives are not Pharmaceutical Benefits Scheme (PBS) supported, hence the use of different formulations have not been quantified. To document the use of hormonal contraceptives and factors associated with their use. Cross-sectional, online questionnaire-based study of 6986 Australian women, aged 18-39years, recruited by email invitation from two large, representative databases. Main outcome measures were the prevalence of use of hormonal contraceptives and associated socio-demographic characteristics. Of the 6600 potential hormone contraceptive users, 43.2% were current users. Most (63.6%) reported using a combined oral contraceptive (COC) of which 30.9% were non-PBS-supported anti-androgenic progestin-containing COCs. Use of long-acting reversible contraceptives (LARC) or an injectable contraceptive was reported by 26.8%. Education beyond secondary school, being Australian born, rural residency, normal body mass index, age <25years and nulliparity were significantly associated with hormonal contraceptive use. Women who reported polycystic ovary syndrome or acne were more likely to be taking a third or fourth generation COC (P<0.0001) and endometriosis was significantly associated with intrauterine system (IUS) use. Third or fourth generation COC use was reported by 12.1% of obese, current smokers. An estimated one-third of Australian women aged 18-39 are taking a non-PBS-supported anti-androgenic progestin COC, highlighting inequity in access to COC options. That hormonal contraceptive use is higher in rural areas is a novel finding and the proportion of LARC or injectable use suggests that uptake in Australia is higher than previously reported.

Comparative Study and Application-Oriented Classification of Vehicular Map-Matching Methods

Vehicular map-matching aims to identify the position of a vehicle in a road-network. Different map-matching applications make use of different formulations of the problem leading to some ambiguous usage. This work intends to make a step towards resolution of this issue. We cross-link mapmatching methods, classes and applications in order to provide insight into this area of study. A selection of current map-matching methods is reviewed, classified and appropriately linked with other methods. Conclusions on trends and influential ideas are drawn with respect to the specific flavor of individual applications. Finally, the trade-offs that must be considered when selecting a map-matching method are discussed and selection guidelines are provided.

Lipid-based nanocarriers to enhance skin permeation and antioxidant activity of Centella asiatica extract

The purpose of this study was to evaluate the use of different formulations, including solution, gel, liposome and niosome for in vitro skin permeation and antioxidant activity ofCentellaasiatica (CA) extract. The liposomes and niosomes loaded with CA were characterized to observe the physicochemical properties i.e., particle size, zeta potential, percentage of entrapment efficiency (%EE) and percentage of loading efficiency (%LE). In vitro skin permeation studies revealed that liposome formulations had a superior enhancing effect on skin permeation compared to niosome, gel and solution formulation. Upon applied niosome formulations for the delivery of CA extract at 24 hours (h), the antioxidant activity was higher than liposome, gel and solution formulation, as evidenced by the increased in percent inhibition using 2,2-diphenyl-1-picrylhydrazyl (DPPH) assay. However, there was no significant difference in antioxidant activity between niosome and liposome formulations. Accordingly, both the liposome and noisome formulations are promising approaches for transdermal delivery of CA extract for promoting successful antioxidant activity.

Dropwise additive manufacturing of pharmaceutical products for amorphous and self emulsifying drug delivery systems

The improvements in healthcare systems and the advent of the precision medicine initiative have created the need to develop more innovative manufacturing methods for the delivery and production of individualized dosing and personalized treatments. In accordance with the changes observed in healthcare systems towards more innovative therapies, this paper presents dropwise additive manufacturing of pharmaceutical products (DAMPP) for small scale, distributed manufacturing of individualized dosing as an alternative to conventional manufacturing methods A dropwise additive manufacturing process for amorphous and self-emulsifying drug delivery systems is reported, which utilizes drop-on-demand printing technology for automated and controlled deposition of melt-based formulations onto inert tablets.The advantages of drop on demand technology include reproducible production of droplets with adjustable sizing and high placement accuracy, which enable production of individualized dosing even for low dose and high potency drugs. Flexible use of different formulations, such as lipid-based formulations, allows enhancement of the solubility of poorly water soluble and highly lipophilic drugs with DAMPP. Here, DAMPP is used to produce solid oral dosage forms from melts of an active pharmaceutical ingredient and a surfactant. The dosage forms are analyzed to show the amorphous nature, self-emulsifying drug delivery system characteristics and dissolution behavior of these formulations.

Treatment pattern and frequency of serum TSH measurement in users of different levothyroxine formulations: a population-based study during the years 2009-2015.

Several conditions can modify the intestinal absorption of levothyroxine tablets, with potential consequences on their therapeutic effect. Pre-dosed ampoules and oral drops have been recently made available to overcome this limitation. To describe the pattern of use of different formulations of levothyroxine in a general population of Southern Italy and to perform an exploratory analysis investigating the effect of switching from levothyroxine tablets to oral liquid formulations. Data were extracted from the Caserta Local Health Unit database. All patients receiving at least one levothyroxine prescription during the years 2009-2015 were identified. 1-year incidence of use of formulation-specific levothyroxine was calculated. Switchers between levothyroxine tablets and oral liquid formulations were identified and the frequency of thyroid-stimulating hormone measurement within 2 years prior and after the switch date was explored. Overall, 56,354 levothyroxine users were included in the study. Of these, 55,147 patients received at least one prescription for tablets (97.9%), 1867 pre-dosed ampoules (3.3%) and 1550 oral drops (2.8%). The proportion of levothyroxine users receiving oral liquid formulations slightly increased over time. Patients switching from tablets to oral liquid formulations showed a statistically significant reduction in the number of thyroid-stimulating hormone measurements after switching from tablets, especially in presence of drugs interacting with levothyroxine potentially altering its absorption. Use of levothyroxine oral liquid formulations is increasing over time even though their use is still limited in a general population of Southern Italy. Our exploratory analysis showed that the frequency of thyroid-stimulating hormone measurement was reduced in patients switching from levothyroxine tablet to new formulations.

Effect of Oral Contraceptive Pills on the Blood Serum Enzymes and DNA Damage in Lymphocytes Among Users.

The continuous use of synthetic hormones as contraceptive pill or hormonal replacement therapy among women is increasing day by day. The widespread use of different formulations as oral contraceptives by women throughout their reproductive cycle has given rise to a serious concern for studying the effects of oral contraceptives on enzymatic profile and DNA damage in peripheral blood lymphocytes among users. The present study was carried out on women taking oral contraceptives. The study was based on the questionnaire having the information of reproductive history, fasting, age, health, nature of menstrual cycle, bleeding and other disease. The profile of the blood serum enzymes i.e. alkaline phosphatase (ALP), gamma glutamyl transferase (GGT), lactate dehydrogenase (LDH), aminotransferases (SGOT and SGPT), serum proteins (albumin and globulin) and DNA damage in lymphocytes was studied among users and non-users. The results of the present study suggest that OCs not only effects enzymatic activity but also results in DNA damage that may vary with the duration of using oral contraceptives. A significant increase in LDH, GGT, SGPT, SGOT, globulin and decrease in ALP as well as albumin was found among users as compared to non-users. The observed DNA damage was more in users as compared to non-users. Hormonal contraceptives seem to exert DNA damage and also have significant effects on blood serum enzymes.

Dropwise Additive Manufacturing of Pharmaceutical Products for Melt-Based Dosage Forms

The US Food and Drug Administration introduced the quality by design approach and process analytical technology guidance to encourage innovation and efficiency in pharmaceutical development, manufacturing, and quality assurance. As part of this renewed emphasis on the improvement of manufacturing, the pharmaceutical industry has begun to develop more efficient production processes with more intensive use of online measurement and sensing, real-time quality control, and process control tools. Here, we present dropwise additive manufacturing of pharmaceutical products (DAMPP) as an alternative to conventional pharmaceutical manufacturing methods. This mini-manufacturing process for the production of pharmaceuticals utilizes drop on demand printing technology for automated and controlled deposition of melt-based formulations onto edible substrates. The advantages of drop-on-demand technology, including reproducible production of small droplets, adjustable drop sizing, high placement accuracy, and flexible use of different formulations, enable production of individualized dosing even for low-dose and high-potency drugs. In this work, DAMPP is used to produce solid oral dosage forms from hot melts of an active pharmaceutical ingredient and a polymer. The dosage forms are analyzed to show the reproducibility of dosing and the dissolution behavior of different formulations.

Hand hygiene--evaluation of three disinfectant hand sanitizers in a community setting.

Hand hygiene is acknowledged as the single most important measure to prevent nosocomial infections in the healthcare setting. Similarly, in non-clinical settings, hand hygiene is recognised as a key element in helping prevent the spread of infectious diseases. The aim of this study was to evaluate the efficacy of three different disinfectant hand sanitizers in reducing the burden of bacterial hand contamination in 60 healthy volunteers in a community setting, both before and after education about the correct use of hand sanitizers. The study is the first to evaluate the efficacy and ease of use of different formulations of hand rubs used by the general population. The products tested were: Sterillium (perfumed, liquid), desderman pure gel (odorless, gel) and Lavit (perfumed, spray). Sterillium and desderman are EN1500 (hygienic hand rub) certified products (available in pharmacy) and Lavit is non EN1500 certified and available in supermarkets. The two EN1500 certified products were found to be significantly superior in terms of reducing bacterial load. desderman pure gel, Sterillium and Lavit reduced the bacterial count to 6.4%, 8.2% and 28.0% respectively. After education in the correct use of each hand rub, the bacterial load was reduced even further, demonstrating the value of education in improving hand hygiene. Information about the testers' perceptions of the three sanitizers, together with their expectations of a hand sanitizer was obtained through a questionnaire. Efficacy, followed by skin compatibility were found to be the two most important attributes of a hand disinfectant in our target group.

Phototreatment of Palm Oil Mill Effluent (POME) over Cu/TiO2 Photocatalyst

The current work reported on the use of different formulations of Cu/TiO2 photocatalysts for the UV-irradiation of palm oil mills effluent (POME). Different copper loadings, viz. 2 wt%, 5 wt%, 10 wt%, 15 wt%, 20 wt% and 25 wt% were doped onto titania. XRD pattern confirmed the presence of anatase TiO2 as primary phase due to mild calcination temperature (573 K). Photo-decomposition of POME over 20 wt% Cu/TiO2 exhibited the highest conversion (27.0%) attributed to its large pore diameter (20.0 nm). In addition, optimum loading was 0.83 g/l. © 2014 by Authors, Published by BCREC Group. This is an open access article under the CC BY-SA License (https://creativecommons.org/licenses/by-sa/4.0)

Pharmacoeconomics of the Myeloid Growth Factors

The pharmacoeconomics of the myeloid growth factors (MGFs) is an important topic that has received substantial attention in recent years. The use of the MGFs as primary prophylaxis to prevent febrile neutropenia (FN) has grown considerably over the past decade and professional guidelines regarding their use have broadened the settings in which these agents are indicated. Recent data also suggest a potential role for them in reducing infection-related and all-cause mortality. The cost and effectiveness of these agents will continue to gain visibility as companies pursue approval for biosimilar agents in the US, similar to their recent approval in Europe. The objective of this paper is to review the available pharmacoeconomic literature on the MGFs, which is particularly timely in light of the recent passage of healthcare reform and the increasing focus on cost control. The cost of treating cancer in the US is rising faster than the already rapid increase in overall medical expenditure. The clinical utility and cost effectiveness of supportive care measures in oncology must therefore be weighed carefully. This review focuses on the use of different formulations of MGFs for primary and secondary prophylaxis of chemotherapy-induced neutropenia. A MEDLINE search was performed to find studies that became available since the prior review of this topic was published in Pharmacoeconomics in 2003. Acceptable cost-minimization estimates for primary prophylaxis with the MGFs in patients receiving cancer chemotherapy have been provided by several studies in the US. Of the commonly used agents in the US, pegfilgrastim appears to be superior to the currently recommended dose and schedule of filgrastim in terms of cost minimization, and primary prophylaxis appears to be less costly than secondary prophylaxis. However, the cost benefits of primary prophylaxis in Europe are not as pronounced as in the US, due to the lower costs of medical care. Data continue to emerge suggesting a decreased risk of early mortality from averted infections as well as the possibility of a disease-specific mortality benefit through maintaining the relative dose intensity of chemotherapy with MGF support. This evidence will prove valuable in assessing the overall cost effectiveness and cost utility of the MGFs in patients receiving cancer chemotherapy.

European Society for Organ Transplantation Advisory Committee Recommendations on Generic Substitution of Immunosuppressive Drugs

European Society for Organ Transplantation Advisory Committee Recommendations on Generic Substitution of Immunosuppressive Drugs

Maize and resistant starch enriched breads reduce postprandial glycemic responses in rats

White wheat bread is a poor source of dietary fiber, typically containing less than 2%. A demand exists for the development of breads with starch that is slowly digestible or partially resistant to the digestive process. The utilization of maize flour and resistant starch is expected to reduce the release and absorption of glucose and, hence, lower the glycemic index of bread. This study was undertaken to investigate the hypothesis that a diet of maize bread, as produced and consumed in Portugal, would have beneficial metabolic effects on rats compared to white wheat bread. We also hypothesized that the effect of resistant starch on glycemic response could be altered by the use of different formulations and breadmaking processes for wheat and maize breads. Resistant starch (RS) was incorporated into formulations of breads at 20% of the inclusion rate of wheat and maize flours. Assays were conducted with male Wistar rats (n = 36), divided into four groups and fed either wheat bread, RS-wheat bread, maize bread, and RS-maize bread to evaluate feed intake, body weight gain, fecal pH, and postprandial blood glucose response (glycemic response). Blood triglycerides, total cholesterol concentrations, and liver weights were also determined. The maize bread group presented higher body weight gain and cholesterol level, lower fecal pH, and postprandial blood glucose response than the wheat bread group. The RS-wheat bread group showed significant reductions in feed intake, fecal pH, postprandial blood glucose response, and total cholesterol. The RS-maize group displayed significant reductions of body weight gain, fecal pH, and total cholesterol levels; however, for the glycemic response, only a reduction in fasting level was observed. These results suggest that maize bread has a lower glycemic index than wheat bread, and the magnitude of the effect of RS on glycemic response depends of type of bread.

Uncertainty assessment of current size-resolved parameterizations for below-cloud particle scavenging by rain

Abstract. Current theoretical and empirical size-resolved parameterizations of the scavenging coefficient (Λ), a parameter commonly used in aerosol transport models to describe below-cloud particle scavenging by rain, have been reviewed in detail and compared with available field and laboratory measurements. Use of different formulations for raindrop-particle collection efficiency can cause uncertainties in size-resolved Λ values of one to two orders of magnitude for particles in the 0.01–3 μm diameter range. Use of different formulations of raindrop number size distribution can cause Λ values to vary by a factor of 3 to 5 for all particle sizes. The uncertainty in Λ caused by the use of different droplet terminal velocity formulations is generally small than a factor of 2. The combined uncertainty due to the use of different formulations of raindrop-particle collection efficiency, raindrop size spectrum, and raindrop terminal velocity in the current theoretical framework is not sufficient to explain the one to two order of magnitude under-prediction of Λ for the theoretical calculations relative to the majority of field measurements. These large discrepancies are likely caused by additional known physical processes (i.e, turbulent transport and mixing, cloud and aerosol microphysics) that influence field data but that are not considered in current theoretical Λ parameterizations. The predicted size-resolved particle concentrations using different theoretical Λ parameterization can differ by up to a factor of 2 for particles smaller than 0.01 μm and by a factor of &gt;10 for particles larger than 3 μm after 2–5 mm of rain. The predicted bulk mass and number concentrations (integrated over the particle size distribution) can differ by a factor of 2 between theoretical and empirical Λ parameterizations after 2–5 mm of moderate intensity rainfall.