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Wolfram Research mathematica programming software
Mathematica Programming Software, supplied by Wolfram Research, used in various techniques. Bioz Stars score: 86/100, based on 1 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
https://www.bioz.com/product/mathematica+program/mathematica+wolfram/pmc13117577-43-12-15
Average 86 stars, based on 1 article reviews
mathematica programming software - by Bioz Stars, 2026-11
86/100 stars

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Aerosol:

Article Title: Design and comprehensive characterization of dry powder inhalation aerosols of simvastatin DPPC/DPPG lung surfactant-mimic nanoparticles/microparticles for pulmonary nanomedicine
Article Snippet: .. The fine particle dose (FPD) was defined as the dose deposited on NGI stages 2–7, fine particle fraction (FPF) , respirable fraction (RF) , and emitted dose (ED) ( ) were calculated using the equations: 3 4 5 In addition, the mass median aerodynamic diameter (MMAD) of aerosol particles and geometric standard deviation (GSD) were calculated using a Mathematica (Wolfram Research, Inc., Champaign, IL) program written by Dr Warren Finlay. .. Modified Franz diffusion cell (VB6; PermeGear Inc., Hellertown, PA, USA) with Spectra/Por ® membrane disc (12–14,000 MW) was used to assess the drug dissolution rate and diffusion of Sim-loaded proliposomes as previously reported with some modifications.

Article Title: Innovative Dual Combination Cospray-Dried Rock Inhibitor/ l -Carnitine Inhalable Dry Powder Aerosols
Article Snippet: .. In addition, the mass median aerodynamic diameter (MMAD) of aerosol particles and geometric standard deviation (GSD) were calculated using a Mathematica (Wolfram Research, Inc., Champaign, Illinois) program written by Dr. Warren Finlay. ..

Article Title: Compositions and methods for delivering pharmaceutical agents
Article Snippet: .. The fine particle dose (FPD), fine particle fraction (FPF), respirable fraction (RF), and emitted dose (ED) were calculated using the 3-6 equations: Fine particle fraction ( FPF ) = Fine particle dose Initial particle mass loaded in capsules × 100 % Equation 10 Respirable fraction ( RF ) = Fine particle dose Total particle mass on all stages × 100 % Equation 11 Emitted dose ( ED ) = Initial mass in capsules - Final mass remaining in capsules Initial mass in capsules × 100 % Equation 12 The mass mean aerodynamic diameter (MMAD) and geometric standard deviation (GSD) of aerosol dispersion profiles were determined using a Mathematica (Wolfram Research Inc., Champaign, Ill.) program written by Dr. Warren Finlay (Finlay W. The ARLA Respiratory Deposition Calculator. ..

Article Title: Compositions and methods for delivering pharmaceutical agents
Article Snippet: .. Emitted Dose fraction ( ED % ) = ED TD × 100 % Equation 1 Fine Particle Fraction ( FPF % ) = FPD ED × 100 % Equation 2 Respirable Fraction ( RF % ) = FPD DD × 100 % Equation 3 In addition, the mass median aerodynamic diameter (MMAD) of aerosol particles and geometric standard deviation (GSD) were calculated using a Mathematica (Wolfram Research, Inc., Champaign, Ill.) program written by Dr. Warren Finlay. ..

Standard Deviation:

Article Title: Design and comprehensive characterization of dry powder inhalation aerosols of simvastatin DPPC/DPPG lung surfactant-mimic nanoparticles/microparticles for pulmonary nanomedicine
Article Snippet: .. The fine particle dose (FPD) was defined as the dose deposited on NGI stages 2–7, fine particle fraction (FPF) , respirable fraction (RF) , and emitted dose (ED) ( ) were calculated using the equations: 3 4 5 In addition, the mass median aerodynamic diameter (MMAD) of aerosol particles and geometric standard deviation (GSD) were calculated using a Mathematica (Wolfram Research, Inc., Champaign, IL) program written by Dr Warren Finlay. .. Modified Franz diffusion cell (VB6; PermeGear Inc., Hellertown, PA, USA) with Spectra/Por ® membrane disc (12–14,000 MW) was used to assess the drug dissolution rate and diffusion of Sim-loaded proliposomes as previously reported with some modifications.

Article Title: Innovative Dual Combination Cospray-Dried Rock Inhibitor/ l -Carnitine Inhalable Dry Powder Aerosols
Article Snippet: .. In addition, the mass median aerodynamic diameter (MMAD) of aerosol particles and geometric standard deviation (GSD) were calculated using a Mathematica (Wolfram Research, Inc., Champaign, Illinois) program written by Dr. Warren Finlay. ..

Article Title: Compositions and methods for delivering pharmaceutical agents
Article Snippet: .. The fine particle dose (FPD), fine particle fraction (FPF), respirable fraction (RF), and emitted dose (ED) were calculated using the 3-6 equations: Fine particle fraction ( FPF ) = Fine particle dose Initial particle mass loaded in capsules × 100 % Equation 10 Respirable fraction ( RF ) = Fine particle dose Total particle mass on all stages × 100 % Equation 11 Emitted dose ( ED ) = Initial mass in capsules - Final mass remaining in capsules Initial mass in capsules × 100 % Equation 12 The mass mean aerodynamic diameter (MMAD) and geometric standard deviation (GSD) of aerosol dispersion profiles were determined using a Mathematica (Wolfram Research Inc., Champaign, Ill.) program written by Dr. Warren Finlay (Finlay W. The ARLA Respiratory Deposition Calculator. ..

Article Title: Compositions and methods for delivering pharmaceutical agents
Article Snippet: .. Emitted Dose fraction ( ED % ) = ED TD × 100 % Equation 1 Fine Particle Fraction ( FPF % ) = FPD ED × 100 % Equation 2 Respirable Fraction ( RF % ) = FPD DD × 100 % Equation 3 In addition, the mass median aerodynamic diameter (MMAD) of aerosol particles and geometric standard deviation (GSD) were calculated using a Mathematica (Wolfram Research, Inc., Champaign, Ill.) program written by Dr. Warren Finlay. ..

Capsules:

Article Title: Compositions and methods for delivering pharmaceutical agents
Article Snippet: .. The fine particle dose (FPD), fine particle fraction (FPF), respirable fraction (RF), and emitted dose (ED) were calculated using the 3-6 equations: Fine particle fraction ( FPF ) = Fine particle dose Initial particle mass loaded in capsules × 100 % Equation 10 Respirable fraction ( RF ) = Fine particle dose Total particle mass on all stages × 100 % Equation 11 Emitted dose ( ED ) = Initial mass in capsules - Final mass remaining in capsules Initial mass in capsules × 100 % Equation 12 The mass mean aerodynamic diameter (MMAD) and geometric standard deviation (GSD) of aerosol dispersion profiles were determined using a Mathematica (Wolfram Research Inc., Champaign, Ill.) program written by Dr. Warren Finlay (Finlay W. The ARLA Respiratory Deposition Calculator. ..

Dispersion:

Article Title: Compositions and methods for delivering pharmaceutical agents
Article Snippet: .. The fine particle dose (FPD), fine particle fraction (FPF), respirable fraction (RF), and emitted dose (ED) were calculated using the 3-6 equations: Fine particle fraction ( FPF ) = Fine particle dose Initial particle mass loaded in capsules × 100 % Equation 10 Respirable fraction ( RF ) = Fine particle dose Total particle mass on all stages × 100 % Equation 11 Emitted dose ( ED ) = Initial mass in capsules - Final mass remaining in capsules Initial mass in capsules × 100 % Equation 12 The mass mean aerodynamic diameter (MMAD) and geometric standard deviation (GSD) of aerosol dispersion profiles were determined using a Mathematica (Wolfram Research Inc., Champaign, Ill.) program written by Dr. Warren Finlay (Finlay W. The ARLA Respiratory Deposition Calculator. ..

Sequencing:

Article Title: Genomic Frequencies of Dynamic DNA Sequences and Mammalian Lifespan.
Article Snippet: .. Genomes were loaded into a Mathematica (Wolfram Research, Champaign IL, USA) program as a string of uppercase letters which was searched for the count of each sequence string, the length of the genome and the number instances of the letter “N” for the uncalled bases in the genome using the StringLength and StringCount subroutines in Mathematica. ..

other:

Article Title: Study Protocol for the Pleiotropic Effects of Sodium-Glucose Cotransporter 2 Inhibitor on Organ-Specific Sympathetic Nerve Activity and Insulin Sensitivity in Participants with Type 2 Diabetes.
Article Snippet: For calculating the H/M, L/M, and K/BG ratios, the ROIs are analyzed with a Mathematica (Wolfram Research Inc., Champaign, IL.



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