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Volumn 108, Issue 1, 2011, Pages 104-115

Reaction-diffusion constraints in living tissue: Effectiveness factors in skeletal muscle design

Author keywords

Effectiveness factor; Mitochondrial rate law; Reaction diffusion model; Skeletal muscle

Indexed keywords

AEROBIC CAPACITY; DETAILED MODELS; DIFFUSION CONSTRAINTS; DIFFUSION LIMITATIONS; DIFFUSION LIMITED; EFFECTIVENESS FACTOR; ENERGY METABOLISM; EXPERIMENTAL DATA; FINITE RATE; HIGH-ENERGY PHOSPHATE; LIVING TISSUES; METABOLIC RATES; MITOCHONDRIAL FUNCTION; MITOCHONDRIAL OXIDATIVE PHOSPHORYLATION; MODEL ANALYSIS; MUSCLE CELL; MUSCLE FIBER; OXIDATIVE PHOSPHORYLATION; RATE LAWS; REACTION CONTROL; REACTION DIFFUSION; REACTION-DIFFUSION MODEL; REACTION-DIFFUSION MODELS; SKELETAL MUSCLE; VOLUME AVERAGING METHOD;

EID: 78649402957     PISSN: 00063592     EISSN: 10970290     Source Type: Journal    
DOI: 10.1002/bit.22926     Document Type: Article
Times cited : (12)

References (55)
  • 1
    • 0003734001 scopus 로고
    • The mathematical theory of diffusion and reaction in permeable catalysts, Vol. 1: The theory of the steady state
    • Oxford, Clarendon Press.
    • Aris R. 1975. The mathematical theory of diffusion and reaction in permeable catalysts, Vol. 1: The theory of the steady state. Oxford: Clarendon Press.
    • (1975)
    • Aris, R.1
  • 2
    • 33846907051 scopus 로고    scopus 로고
    • A biophysical model of the mitochondrial respiratory system and oxidative phosphorylation
    • Beard DA. 2005. A biophysical model of the mitochondrial respiratory system and oxidative phosphorylation. PLoS Comput Biol 1: 252.
    • (2005) PLoS Comput Biol , vol.1 , pp. 252
    • Beard, D.A.1
  • 3
    • 0026142325 scopus 로고
    • Approximate analytical solutions for a biofilm reactor model with Monod kinetics and product inhibition
    • Bhaskar GV, Bhamidimarri SMR. 1991. Approximate analytical solutions for a biofilm reactor model with Monod kinetics and product inhibition. Can J Chem Eng 69(2): 544-547.
    • (1991) Can J Chem Eng , vol.69 , Issue.2 , pp. 544-547
    • Bhaskar, G.V.1    Bhamidimarri, S.M.R.2
  • 4
    • 0022758683 scopus 로고
    • Generalized simulated annealing for function optimization
    • Bohachevsky IO, Johnson ME, Stein ML. 1986. Generalized simulated annealing for function optimization. Technometrics 28: 209.
    • (1986) Technometrics , vol.28 , pp. 209
    • Bohachevsky, I.O.1    Johnson, M.E.2    Stein, M.L.3
  • 5
    • 0348155655 scopus 로고    scopus 로고
    • Mitochondrial distribution and glycogen dynamics suggest diffusion constraints in muscle fibers of the blue crab, Callinectes sapidus
    • Boyle KL, Dillaman RM, Kinsey ST. 2003. Mitochondrial distribution and glycogen dynamics suggest diffusion constraints in muscle fibers of the blue crab, Callinectes sapidus. J Exp Zool 297A: 1.
    • (2003) J Exp Zool , vol.297 A , pp. 1
    • Boyle, K.L.1    Dillaman, R.M.2    Kinsey, S.T.3
  • 6
    • 0032489048 scopus 로고    scopus 로고
    • A reduced mechanism for methanol oxidation in supercritical water
    • Brock EE, Savage PE, Barker JR. 1998. A reduced mechanism for methanol oxidation in supercritical water. Chem Eng Sci 53: 857.
    • (1998) Chem Eng Sci , vol.53 , pp. 857
    • Brock, E.E.1    Savage, P.E.2    Barker, J.R.3
  • 8
    • 0029411981 scopus 로고
    • Comprehensive modeling of methanogenic biofilms in fluidized-bed systems-Mass-transfer limitations and multisubstrate aspects
    • Buffiere P, Steyer JP, Fonade C, Moletta R. 1995. Comprehensive modeling of methanogenic biofilms in fluidized-bed systems-Mass-transfer limitations and multisubstrate aspects. Biotechnol Bioeng 48(6): 725-736.
    • (1995) Biotechnol Bioeng , vol.48 , Issue.6 , pp. 725-736
    • Buffiere, P.1    Steyer, J.P.2    Fonade, C.3    Moletta, R.4
  • 9
    • 77956751036 scopus 로고    scopus 로고
    • Scaling with body mass of mitochondrial respiration from the white muscle of three behaviorally distinct teleost fishes
    • Burpee JL, Bardsley EL, Dillaman RM, Watanabe WO, Kinsey ST. 2010. Scaling with body mass of mitochondrial respiration from the white muscle of three behaviorally distinct teleost fishes. J Comp Physiol B. 180: 967-977.
    • (2010) J Comp Physiol B. , vol.180 , pp. 967-977
    • Burpee, J.L.1    Bardsley, E.L.2    Dillaman, R.M.3    Watanabe, W.O.4    Kinsey, S.T.5
  • 10
    • 0032417996 scopus 로고    scopus 로고
    • Bioreactor perfusion system for the long-term maintenance of tissue-engineered skeletal muscle organoids
    • Chromiak JA, Shansky J, Perrone C, Vandenburgh HH. 1998. Bioreactor perfusion system for the long-term maintenance of tissue-engineered skeletal muscle organoids. In Vitro Cell Dev Biol Animal 34(9): 694-703.
    • (1998) In Vitro Cell Dev Biol Animal , vol.34 , Issue.9 , pp. 694-703
    • Chromiak, J.A.1    Shansky, J.2    Perrone, C.3    Vandenburgh, H.H.4
  • 11
    • 0023416976 scopus 로고
    • Minimizing multimodal functions of continuous-variables with the simulated annealing algorithm
    • Corana A, Marchesi M, Martini C, Ridella S. 1987. Minimizing multimodal functions of continuous-variables with the simulated annealing algorithm. ACM Trans Math Softw 13: 262.
    • (1987) ACM Trans Math Softw , vol.13 , pp. 262
    • Corana, A.1    Marchesi, M.2    Martini, C.3    Ridella, S.4
  • 12
    • 0015691830 scopus 로고
    • Effectiveness factor calculations for immobilized enzyme catalysts
    • Fink DJ, Na TY, Schultz JS. 1973. Effectiveness factor calculations for immobilized enzyme catalysts. Biotechnol Bioeng 15(5): 879-888.
    • (1973) Biotechnol Bioeng , vol.15 , Issue.5 , pp. 879-888
    • Fink, D.J.1    Na, T.Y.2    Schultz, J.S.3
  • 13
    • 0033589363 scopus 로고    scopus 로고
    • Analysis of cell growth kinetics and substrate diffusion in a polymer scaffold
    • Galban CL, Locke BR. 1999. Analysis of cell growth kinetics and substrate diffusion in a polymer scaffold. Biotechnol Bioeng 65: 121-132.
    • (1999) Biotechnol Bioeng , vol.65 , pp. 121-132
    • Galban, C.L.1    Locke, B.R.2
  • 14
    • 84913491215 scopus 로고
    • Global optimization of statistical functions with simulated annealing
    • Goffe WL, Ferrier GD, Rogers J. 1994. Global optimization of statistical functions with simulated annealing. J Econometr 1: 60.
    • (1994) J Econometr , vol.1 , pp. 60
    • Goffe, W.L.1    Ferrier, G.D.2    Rogers, J.3
  • 15
    • 0033167013 scopus 로고    scopus 로고
    • Aqueous-phase pulsed streamer corona reactor using suspended activated carbon particles for phenol oxidation: model-data comparison
    • Grymonpre DR, Finney WC, Locke BR. 1999. Aqueous-phase pulsed streamer corona reactor using suspended activated carbon particles for phenol oxidation: model-data comparison. Chem Eng Sci 54: 3095-3105.
    • (1999) Chem Eng Sci , vol.54 , pp. 3095-3105
    • Grymonpre, D.R.1    Finney, W.C.2    Locke, B.R.3
  • 16
    • 33750216970 scopus 로고    scopus 로고
    • A reaction-diffusion analysis of energetics in large muscle fibers secondarily evolved for aerobic locomotor function
    • Hardy KM, Locke BR, Da Silva M, Kinsey ST. 2006. A reaction-diffusion analysis of energetics in large muscle fibers secondarily evolved for aerobic locomotor function. J Exp Biol 209: 3610.
    • (2006) J Exp Biol , vol.209 , pp. 3610
    • Hardy, K.M.1    Locke, B.R.2    Da Silva, M.3    Kinsey, S.T.4
  • 17
    • 67049142715 scopus 로고    scopus 로고
    • A skeletal muscle model of extreme hypertrophic growth reveals the influence of diffusion on cellular design
    • Hardy KM, Dillaman RM, Locke BR, Kinsey ST. 2009. A skeletal muscle model of extreme hypertrophic growth reveals the influence of diffusion on cellular design. Am J Physiol Regul Integr Comp Physiol 296: R1855-R1867.
    • (2009) Am J Physiol Regul Integr Comp Physiol , vol.296
    • Hardy, K.M.1    Dillaman, R.M.2    Locke, B.R.3    Kinsey, S.T.4
  • 18
    • 33745737485 scopus 로고    scopus 로고
    • Effectiveness factor for spatial gradient sensing in living cells
    • Haugh JM, Schneider IC. 2006. Effectiveness factor for spatial gradient sensing in living cells. Chem Eng Sci 61(17): 5603-5611.
    • (2006) Chem Eng Sci , vol.61 , Issue.17 , pp. 5603-5611
    • Haugh, J.M.1    Schneider, I.C.2
  • 19
    • 0029911186 scopus 로고    scopus 로고
    • The signal transduction function for oxidative phosphorylation is at least second order in ADP
    • Jeneson JA, Wiseman RW, Westerhoff HV, Kushmerick MJ. 1996. The signal transduction function for oxidative phosphorylation is at least second order in ADP. J Biol Chem 271: 27995-27998.
    • (1996) J Biol Chem , vol.271 , pp. 27995-27998
    • Jeneson, J.A.1    Wiseman, R.W.2    Westerhoff, H.V.3    Kushmerick, M.J.4
  • 20
    • 0033834262 scopus 로고    scopus 로고
    • A metabolic control analysis of kinetic controls in ATP free energy metabolism in contracting skeletal muscle
    • Jeneson JAL, Westerhoff HV, Kushmerick MJ. 2000. A metabolic control analysis of kinetic controls in ATP free energy metabolism in contracting skeletal muscle. Am J Physiol Cell Physiol 279: C813-C832.
    • (2000) Am J Physiol Cell Physiol , vol.279
    • Jeneson, J.A.L.1    Westerhoff, H.V.2    Kushmerick, M.J.3
  • 22
    • 55549120910 scopus 로고    scopus 로고
    • The influence of oxygen and high-energy phosphate diffusion on metabolic scaling in three species of tail-flipping crustaceans
    • Jimenez AG, Locke BR, Kinsey ST. 2008. The influence of oxygen and high-energy phosphate diffusion on metabolic scaling in three species of tail-flipping crustaceans. J Exp Biol 211: 3214.
    • (2008) J Exp Biol , vol.211 , pp. 3214
    • Jimenez, A.G.1    Locke, B.R.2    Kinsey, S.T.3
  • 23
    • 33748430373 scopus 로고    scopus 로고
    • Simulated annealing for convex optimization
    • Kalai AT, Vempala S. 2006. Simulated annealing for convex optimization. Math Oper Res 31: 253.
    • (2006) Math Oper Res , vol.31 , pp. 253
    • Kalai, A.T.1    Vempala, S.2
  • 24
    • 23644447704 scopus 로고    scopus 로고
    • Does intracellular metabolite diffusion limit post-contractile recovery in burst locomotor muscle?
    • Kinsey ST, Pathi P, Hardy KM, Jordan A, Locke BR. 2005. Does intracellular metabolite diffusion limit post-contractile recovery in burst locomotor muscle? J Exp Biol 208: 2641.
    • (2005) J Exp Biol , vol.208 , pp. 2641
    • Kinsey, S.T.1    Pathi, P.2    Hardy, K.M.3    Jordan, A.4    Locke, B.R.5
  • 25
    • 0029988945 scopus 로고    scopus 로고
    • Regulation of cytochrome oxidase: Theoretical studies
    • Korzeniewski B. 1996. Regulation of cytochrome oxidase: Theoretical studies. Biophys Chem 59: 75.
    • (1996) Biophys Chem , vol.59 , pp. 75
    • Korzeniewski, B.1
  • 26
    • 0032520988 scopus 로고    scopus 로고
    • Regulation of ATP supply during muscle contraction: Theoretical studies
    • Korzeniewski B. 1998. Regulation of ATP supply during muscle contraction: Theoretical studies. Biochem J 330: 1189.
    • (1998) Biochem J , vol.330 , pp. 1189
    • Korzeniewski, B.1
  • 27
    • 0035283048 scopus 로고    scopus 로고
    • Theoretical studies on the regulation of oxidative phosphorylation in intact tissues
    • Korzeniewski B. 2001. Theoretical studies on the regulation of oxidative phosphorylation in intact tissues. Biochip Biophys Acta Bioenerg 1504(1): 31.
    • (2001) Biochip Biophys Acta Bioenerg , vol.1504 , Issue.1 , pp. 31
    • Korzeniewski, B.1
  • 28
    • 0035975695 scopus 로고    scopus 로고
    • A model of oxidative phosphorylation in mammalian skeletal muscle
    • Korzeniewski B, Zoladz JA. 2001. A model of oxidative phosphorylation in mammalian skeletal muscle. Biophys Chem 92: 17.
    • (2001) Biophys Chem , vol.92 , pp. 17
    • Korzeniewski, B.1    Zoladz, J.A.2
  • 29
    • 0022069244 scopus 로고
    • Chemical changes in rat leg muscle by phosphorus nuclear magnetic resonance
    • Kushmerick MJ, Meyer RA. 1985. Chemical changes in rat leg muscle by phosphorus nuclear magnetic resonance. Am J Physiol 248: C542-C549.
    • (1985) Am J Physiol , vol.248
    • Kushmerick, M.J.1    Meyer, R.A.2
  • 30
    • 0026701826 scopus 로고
    • Regulation of oxygen-consumption in fast-twitch and slow-twitch muscle
    • Kushmerick MJ, Meyer RA, Brown TR. 1992. Regulation of oxygen-consumption in fast-twitch and slow-twitch muscle. Am J Physiol 263(3): C598-C606.
    • (1992) Am J Physiol , vol.263 , Issue.3
    • Kushmerick, M.J.1    Meyer, R.A.2    Brown, T.R.3
  • 31
    • 1042266628 scopus 로고
    • The velocity of reactions in gases moving through heated vessels and the effect of convection and diffusion
    • Langmuir I. 1908. The velocity of reactions in gases moving through heated vessels and the effect of convection and diffusion. J Am Chem Soc 30(11): 1742.
    • (1908) J Am Chem Soc , vol.30 , Issue.11 , pp. 1742
    • Langmuir, I.1
  • 32
    • 50149098821 scopus 로고    scopus 로고
    • Diffusional constraints on energy metabolism in skeletal muscle
    • Locke BR, Kinsey ST. 2008. Diffusional constraints on energy metabolism in skeletal muscle. J Theor Biol 254: 417.
    • (2008) J Theor Biol , vol.254 , pp. 417
    • Locke, B.R.1    Kinsey, S.T.2
  • 34
    • 0001838147 scopus 로고
    • The mechanism of the reaction catalysed by adenosine triphosphate-creatine phosphotransferase
    • Morrison JF, James E. 1965. The mechanism of the reaction catalysed by adenosine triphosphate-creatine phosphotransferase. Biochem J 97: 37-52.
    • (1965) Biochem J , vol.97 , pp. 37-52
    • Morrison, J.F.1    James, E.2
  • 35
    • 34248172328 scopus 로고    scopus 로고
    • Scaling of post-contractile phosphocreatine recovery in fish white muscle: Effect of intracellular diffusion
    • Nyack AC, Locke BR, Valencia A, Dillaman RM, Kinsey ST. 2007. Scaling of post-contractile phosphocreatine recovery in fish white muscle: Effect of intracellular diffusion. Am J Physiol 292: R2077.
    • (2007) Am J Physiol , vol.292
    • Nyack, A.C.1    Locke, B.R.2    Valencia, A.3    Dillaman, R.M.4    Kinsey, S.T.5
  • 36
    • 16444378525 scopus 로고    scopus 로고
    • Role of nutrient supply on cell growth in bioreactor design for tissue engineering of hematopoietic cells
    • Pathi P, Ma T, Locke BR. 2005. Role of nutrient supply on cell growth in bioreactor design for tissue engineering of hematopoietic cells. Biotechnol Bioeng 89: 743-758.
    • (2005) Biotechnol Bioeng , vol.89 , pp. 743-758
    • Pathi, P.1    Ma, T.2    Locke, B.R.3
  • 37
    • 0019516010 scopus 로고
    • A theory of diffusion and reaction in porous media
    • Ryan DC, Carbonell RG, Whitaker S. 1981. A theory of diffusion and reaction in porous media. AIChE Symp Ser 71: 46-62.
    • (1981) AIChE Symp Ser , vol.71 , pp. 46-62
    • Ryan, D.C.1    Carbonell, R.G.2    Whitaker, S.3
  • 38
    • 0038636523 scopus 로고    scopus 로고
    • Heterogeneity of ADP diffusion and regulation of respiration in cardiac cells
    • Saks V, Kuznetsov A, Andrienko T, Usson Y, Appaix F, et al. 2003. Heterogeneity of ADP diffusion and regulation of respiration in cardiac cells. Biophys J 84: 3436.
    • (2003) Biophys J , vol.84 , pp. 3436
    • Saks, V.1    Kuznetsov, A.2    Andrienko, T.3    Usson, Y.4    Appaix, F.5
  • 39
    • 78649408024 scopus 로고
    • Effectiveness factor of immobilized enzyme
    • Shimizu A, Inoue H. 1983. Effectiveness factor of immobilized enzyme. Kagaku Kogaku Ronbun 9(2): 229-231.
    • (1983) Kagaku Kogaku Ronbun , vol.9 , Issue.2 , pp. 229-231
    • Shimizu, A.1    Inoue, H.2
  • 40
    • 33748639598 scopus 로고    scopus 로고
    • Finite difference schemes and partial differential equations
    • New York, SIAM.
    • Strikwerda JC. 2004. Finite difference schemes and partial differential equations. New York: SIAM.
    • (2004)
    • Strikwerda, J.C.1
  • 41
    • 0025782711 scopus 로고
    • Nonequilibrium thermodynamic sensitivity of oxidative-phosphorylation
    • Stucki JW. 1991. Nonequilibrium thermodynamic sensitivity of oxidative-phosphorylation. Proc R Soc Lond Ser B Biol Sci 244: 197.
    • (1991) Proc R Soc Lond Ser B Biol Sci , vol.244 , pp. 197
    • Stucki, J.W.1
  • 42
    • 85024307490 scopus 로고
    • Relation between catalytic activity and size of particle
    • Thiele EW. 1939. Relation between catalytic activity and size of particle. Indus Eng Chem 31: 916-920.
    • (1939) Indus Eng Chem , vol.31 , pp. 916-920
    • Thiele, E.W.1
  • 43
    • 0031416810 scopus 로고    scopus 로고
    • Rate of oxidative phosphorylation in isolated mitochondria from human skeletal muscle: Effect of training status
    • Tonkonogi M, Sahlin K. 1997. Rate of oxidative phosphorylation in isolated mitochondria from human skeletal muscle: Effect of training status. Acta Physiol Scand 161: 345.
    • (1997) Acta Physiol Scand , vol.161 , pp. 345
    • Tonkonogi, M.1    Sahlin, K.2
  • 44
    • 0003691678 scopus 로고    scopus 로고
    • Parametric sensitivity in chemical systems
    • Cambridge, Cambridge University Press.
    • Varma A, Morbidelli M, Wu H. 1999. Parametric sensitivity in chemical systems. Cambridge: Cambridge University Press.
    • (1999)
    • Varma, A.1    Morbidelli, M.2    Wu, H.3
  • 45
    • 0033867927 scopus 로고    scopus 로고
    • Cellular energetics analysis by a mathematical model of energy balance: Estimation of parameters in human skeletal muscle
    • Vicini P, Kushmerick MJ. 2000. Cellular energetics analysis by a mathematical model of energy balance: Estimation of parameters in human skeletal muscle. Am J Physiol Cell Physiol 279: C213.
    • (2000) Am J Physiol Cell Physiol , vol.279
    • Vicini, P.1    Kushmerick, M.J.2
  • 46
    • 28844474520 scopus 로고    scopus 로고
    • Sequential Monte Carlo methods for static parameter estimation in random set models. Intelligent Sensors, Sensor Networks and Information Processing Conference, p
    • Vo BN, Vo BT, Singh S. 2004. Sequential Monte Carlo methods for static parameter estimation in random set models. Intelligent Sensors, Sensor Networks and Information Processing Conference, p 14.
    • (2004) , pp. 14
    • Vo, B.N.1    Vo, B.T.2    Singh, S.3
  • 48
    • 0016599805 scopus 로고
    • Effectiveness factors for substrate and product inhibition
    • Wadiak DT, Carbonell RG. 1975. Effectiveness factors for substrate and product inhibition. Biotechnol Bioeng 17(12): 1761-1773.
    • (1975) Biotechnol Bioeng , vol.17 , Issue.12 , pp. 1761-1773
    • Wadiak, D.T.1    Carbonell, R.G.2
  • 49
    • 0034624972 scopus 로고    scopus 로고
    • Noninvasive measurement of gene expression in skeletal muscle
    • Walter G, Barton ER, Sweeney HL. 2000. Noninvasive measurement of gene expression in skeletal muscle. Proc Natl Acad Sci USA 97(10): 5151-5155.
    • (2000) Proc Natl Acad Sci USA , vol.97 , Issue.10 , pp. 5151-5155
    • Walter, G.1    Barton, E.R.2    Sweeney, H.L.3
  • 50
    • 0015911866 scopus 로고
    • Diffusion and chemical transformation
    • Weisz PB. 1973. Diffusion and chemical transformation. Science 179: 433-440.
    • (1973) Science , vol.179 , pp. 433-440
    • Weisz, P.B.1
  • 51
    • 0003776105 scopus 로고    scopus 로고
    • The method of volume averaging: Theory and applications of transport in porous media
    • Boston, USA, Springer.
    • Whitaker S. 1999. The method of volume averaging: Theory and applications of transport in porous media. Boston, USA: Springer.
    • (1999)
    • Whitaker, S.1
  • 52
    • 0032559399 scopus 로고    scopus 로고
    • Oxygen dependence of flux control of cytochrome c oxidase-Implications for mitochondrial diseases
    • Wiedemann FR, Kunz WS. 1998. Oxygen dependence of flux control of cytochrome c oxidase-Implications for mitochondrial diseases. FEBS Lett 42: 33.
    • (1998) FEBS Lett , vol.42 , pp. 33
    • Wiedemann, F.R.1    Kunz, W.S.2
  • 53
    • 34247133857 scopus 로고    scopus 로고
    • Effective reaction at a fluid-solid interface: Applications to biotransformation in porous media
    • Wood BD, Radakovich K, Golfier F. 2007. Effective reaction at a fluid-solid interface: Applications to biotransformation in porous media. Adv Water Resources 30: 1630.
    • (2007) Adv Water Resources , vol.30 , pp. 1630
    • Wood, B.D.1    Radakovich, K.2    Golfier, F.3
  • 54
    • 0001058120 scopus 로고
    • On the theory of reactions on powders and porous substances
    • Zeldovich YB. 1939. On the theory of reactions on powders and porous substances. Z Fiz Khim 13: 163-168.
    • (1939) Z Fiz Khim , vol.13 , pp. 163-168
    • Zeldovich, Y.B.1
  • 55
    • 0028533806 scopus 로고
    • Evaluation of tortuosity factors and effective diffusivities in biofilms
    • Zhang TC, Bishop PL. 1994. Evaluation of tortuosity factors and effective diffusivities in biofilms. Water Res 28(11): 2279-2287.
    • (1994) Water Res , vol.28 , Issue.11 , pp. 2279-2287
    • Zhang, T.C.1    Bishop, P.L.2


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