A deconvolution algorithm, based on a Bayesian statistical framework and smoothing spline technique, is applied to reconstructing input functions from noisy measurements in biological systems. Deconvolution is usually ill-posed. However, placing a Bayesian prior distribution on the input function can make the problem well-posed. Using this algorithm and a computational model of diffusional oxygen transport in an approximately cylindrical muscle (about 0.5-mm diameter and 10-mm long mouse leg muscle), the time course of muscle oxygen uptake and mitochondrial oxygen consumption, both during isometric twitch contractions (at various frequencies) and the recovery period, is estimated from polarographic measurements of oxygen concentration on the muscle surface. An important feature of our experimental protocol is the availability of data for the apparatus characteristics. From these time courses, the actual mitochondrial consumption rates during resting and exercise states can be estimated. Mitochondrial oxygen consumption rate increased during stimulation to a maximum steady state value approximately five times of the resting value of 0.63 nmol/s/g wet weight for the stimulation conditions studied. Diffusion slowed the kinetic responses to the contraction but not the steady state fluxes during the stimulation interval.
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Resource Facility for Population Kinetics, Department of Bioengineering, University of Washington, Seattle, WA
Ranjan K. Dash, Bradley M. Bell & Paolo Vicini PhD
Present address: Department of Pediatrics, Division of Cardiology,, Case Western Reserve University, Cleveland, OH
Ranjan K. Dash
Applied Physics Laboratory, University of Washington, Seattle, WA
Bradley M. Bell
Departments of Bioengineering, Radiology, and Physiology and Biophysics, University of Washington, Seattle, WA
Martin J. Kushmerick
Resource Facility for Population Kinetics, Department of Bioengineering, Box 352255, University of Washington, Seattle, 98195-2255, WA
Paolo Vicini PhD
Correspondence to Paolo Vicini PhD.
About this article Cite this articleDash, R.K., Bell, B.M., Kushmerick, M.J. et al. Estimating in Vitro Mitochondrial Oxygen Consumption During Muscle Contraction and Recovery: A Novel Approach that Accounts for Diffusion. Ann Biomed Eng 33, 343–355 (2005). https://doi.org/10.1007/s10439-005-1737-7
Received: 04 February 2004
Accepted: 17 August 2004
Issue Date: January 2005
DOI: https://doi.org/10.1007/s10439-005-1737-7
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