Particle Deposition in Respiratory Tract: Where are the Limits?

Elezovic, A; Cvijić, Sandra; Pilipović, S; Parojčić, Jelena

doi:10.1007/978-3-030-73909-6_74

Cited by 2 publications

(2 citation statements)

References 14 publications

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“…The multiciplity of the corresponding Feynman diagram is two. In diagram (22), we have two trails, each one with an internal vertex, and one dashed line connecting these internal vertices. For N = 3, we use the previous case to build the minimal order connected diagram.…”

Section: General Decomposition Of a M-order Disconnected Feynman Diag...mentioning

confidence: 99%

“…2) The procedure used in [11] to prove case N = 1 (see formulas (22), ( 23) and ( 24) in this reference) can be used for the first term of (B.2), which is identical to Let us now focus on the second term of (B.2). A careful appreciation lets us find that the first double sum can be rewritten as Note that the dependence of n on factor 2(m + 1 − k) disappeared and the same procedure used in [11] is valid.…”

Section: Appendix B Proof Of the Recurrence Solution In Case N =mentioning

confidence: 99%

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A recursive enumeration of connected Feynman diagrams with an arbitrary number of external legs in the fermionic non-relativistic interacting gas

Castro¹,

Roditi²

2019

J. Phys. A: Math. Theor.

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In this work, we generalize a recursive enumerative formula for connected Feynman diagrams with two external legs. The Feynman diagrams are defined from a fermionic gas with a two-body interaction. The generalized recurrence is valid for connected Feynman diagrams with an arbitrary number of external legs and an arbitrary order. The recurrence formula terms are expressed in function of weak compositions of non-negative integers and partitions of positive integers in such a way that to each term of the recurrence correspond a partition and a weak composition. The foundation of this enumeration is the Wick theorem, permitting an easy generalization to any quantum field theory. The iterative enumeration is constructive and enables a fast computation of the number of connected Feynman diagrams for a large amount of cases. In particular, the recurrence is solved exactly for two and four external legs, leading to the asymptotic expansion of the number of different connected Feynman diagrams. FIG. 2:A rooted map embedded in the tori and the corresponding Feynman diagram. See all the correspondences for order m = 1, 2, 3 in ref. [15]

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Section: General Decomposition Of a M-order Disconnected Feynman Diag...mentioning

confidence: 99%

Section: Appendix B Proof Of the Recurrence Solution In Case N =mentioning

confidence: 99%

A recursive enumeration of connected Feynman diagrams with an arbitrary number of external legs in the fermionic non-relativistic interacting gas

Castro¹,

Roditi²

2019

J. Phys. A: Math. Theor.

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Molecular Dynamic Simulation Approach to Predict the Compatibility of Formulation Components of Salbutamol Sulfate Metered Dose Inhaler Free off Ethanol

Aldabet¹,

Haroun²,

Alkhayer³

et al. 2023

RJPT

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More than 50 years since the first introduction of metered dose inhaler (MDI) by Riker laboratories 1956. The major development in MDI manufacturing was the transformation from chloroflouro carbon (CFC) to hydroflouro alkane (HFA) which required a new engineering design to the MDI components and reformulation of existing MDI to fit the new propellant. Evolution of MDI formulation was challenging due to the low solubility profile of most excipients in HFA propellants and the limitation of generally recognized as safe (GRAS) excipients that could be delivered to the lung. The main purpose of this study was to develop a new salbutamol sulfate (SS) MDI using PEG400(1%) w/w as suitable alternative co-solvents to ethanol (10%)w/w. PVP-k30(0.001-0.0001%) w/w and Brij72(0.001-0.005-0.01%) were used separately as suggested stabilizer. In silico molecular dynamic (MD) simulation was carried out to investigate the compatibility of new excipients with SS and PEG400 before adding the HFA134a. Differential scanning calorimeter(DSC) was also run to evaluate the compatibility between formulations components that passed the visual observation test. Content per actuation was also used to estimate the developing formulation at accelerated stability conditions (40°C/75%RH).(N=10). MD simulation results demonstrated the compatibility of PVP-k30(0.0001%) w/w with other formulation's components before adding HFA134a propellant(small or negative value for and ). MD simulation results were also confirmed by DSC thermograms which indicate the compatibility between PVP-k30 based formulation due to a small change in endothermic maximum melting point compared with Brij 72 based formulation.Content per actuation of PVP-k30(0.0001%)w/w based formulation passed the accelerated stability test and there is a significant effect of stabilizer type and concentration on the emitted dose (p-value >0.05). This work confirms that MD simulations could save time and reduce the cost of experiments during the early stage of reformulation process of MDI.

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Particle Deposition in Respiratory Tract: Where are the Limits?

Cited by 2 publications

References 14 publications

A recursive enumeration of connected Feynman diagrams with an arbitrary number of external legs in the fermionic non-relativistic interacting gas

A recursive enumeration of connected Feynman diagrams with an arbitrary number of external legs in the fermionic non-relativistic interacting gas

Molecular Dynamic Simulation Approach to Predict the Compatibility of Formulation Components of Salbutamol Sulfate Metered Dose Inhaler Free off Ethanol

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