2017
DOI: 10.1016/j.bspc.2017.02.006
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Evaluation of respiratory properties by means of fractional order models

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Cited by 32 publications
(16 citation statements)
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“…As a result, drug molecules may be trapped for longer residence times than initially though [53], with recirculatory effects from liver latency processing at macromolecular and metabolic rate dynamic variability [69]. By their analogy of kinetic compartmental models to transfer function models as proposed in [26], [70], the fractal kinetics are approximated by fractional order transfer function models as those proposed in [50], [51], [71]. Their advantage is that memory effects of drug latency can be more accurately modelled, providing better models for optimal regulation of drug dosing profiles to better avoid over-and under-dosing risks.…”
Section: Discussionmentioning
confidence: 99%
“…As a result, drug molecules may be trapped for longer residence times than initially though [53], with recirculatory effects from liver latency processing at macromolecular and metabolic rate dynamic variability [69]. By their analogy of kinetic compartmental models to transfer function models as proposed in [26], [70], the fractal kinetics are approximated by fractional order transfer function models as those proposed in [50], [51], [71]. Their advantage is that memory effects of drug latency can be more accurately modelled, providing better models for optimal regulation of drug dosing profiles to better avoid over-and under-dosing risks.…”
Section: Discussionmentioning
confidence: 99%
“…Furthermore, the model from ( 2 ) is a combination of power law and exponential, which has been already proven mathematically to be fitted by the Mittag-Leffler function, which is a solution of the fractional derivative [ 8 ]. Such models have been shown to fit well the respiratory tissue properties in COPD [ 60 , 61 ] and other patients [ 62 , 63 ].…”
Section: Discussionmentioning
confidence: 99%
“…FOT measures the air pressure and flow and helps in estimating the respiratory impedance. Several studies in literature [ [2] , [3] , [4] ] proved better results using the respiratory impedance measurement for asthma and COPD patients. However, the auscultation method is simple, patient friendly and easier to obtain data than spirometry or radiation imaging [ 5 ].…”
Section: Introductionmentioning
confidence: 99%