2018
DOI: 10.1016/j.bpj.2017.11.020
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A Distribution-Moment Approximation for Coupled Dynamics of the Airway Wall and Airway Smooth Muscle

Abstract: Asthma is fundamentally a disease of airway constriction. Due to a variety of experimental challenges, the dynamics of airways are poorly understood. Of specific interest is the narrowing of the airway due to forces produced by the airway smooth muscle wrapped around each airway. The interaction between the muscle and the airway wall is crucial for the airway constriction that occurs during an asthma attack. Although cross-bridge theory is a well-studied representation of complex smooth muscle dynamics, and th… Show more

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Cited by 9 publications
(5 citation statements)
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“…Asthma is a chronic airway disease characterized by bronchial hyper-responsiveness, lung inflammation, airway remodeling, and airway obstruction ( Meyer et al, 2014 ; Rampadarath and Donovan, 2018 ). As heterogeneous condition, asthma includes acute episodes that revert spontaneously or with treatment and chronic inflammation and/or structural changes that may be related to persistent symptoms and eventual reduction of pulmonary function.…”
Section: Introductionmentioning
confidence: 99%
“…Asthma is a chronic airway disease characterized by bronchial hyper-responsiveness, lung inflammation, airway remodeling, and airway obstruction ( Meyer et al, 2014 ; Rampadarath and Donovan, 2018 ). As heterogeneous condition, asthma includes acute episodes that revert spontaneously or with treatment and chronic inflammation and/or structural changes that may be related to persistent symptoms and eventual reduction of pulmonary function.…”
Section: Introductionmentioning
confidence: 99%
“…This approximation assumes a Gaussian displacement-distribution (other distributions could be assumed) of myosin heads to allow for the simplification of the differential equations and causes some additional error in force and velocity approximates but significantly reduces the computational cost. The distribution-moment approximation for the HHM model of smooth muscle has also been developed (Rampadarath 2018 ). Initial simulations of the distribution-moment model for a single lymphangion have been run but are beyond the scope of this paper.…”
Section: Discussionmentioning
confidence: 99%
“…Isolated finitethickness airway models that use the HHM model suffers from significant computational cost (e.g., (Hiorns et al, 2014;Hiorns et al, 2016)); furthermore the cost becomes prohibitive for whole lung branching networks. To provide computationally efficient ways of coupling muscle cell contraction to tissue behaviour, simplified models, first proposed by Zahalak (Zahalak, 1981) for the Huxley model for striated muscle, have been developed for ASM and corresponding HHM models by Rampadarath and Donovan (Rampadarath and Donovan, 2018). The idea behind this is that an ansatz is made regarding the form of probability distribution functions (PDFs) of the cross-bridge distributions, enabling the reduction of the governing PDEs to a system of ODEs in terms of the distribution-moments of the PDF.…”
Section: Area Of Interest Model-generated Hypothesis Referencesmentioning
confidence: 99%