Applied Mathematics

Volume 2, Issue 11 (November 2011)

ISSN Print: 2152-7385   ISSN Online: 2152-7393

Google-based Impact Factor: 0.58  Citations  

Effect of Deformation of Red Cell on Nutritional Transport in Capillary-Tissue Exchange System

HTML  Download Download as PDF (Size: 543KB)  PP. 1417-1423  
DOI: 10.4236/am.2011.211200    5,654 Downloads   9,408 Views  Citations

Affiliation(s)

.

ABSTRACT

A mathematical analysis of a model for nutritional exchange in a capillary-tissue exchange system is presented in this paper. This model consist of a single file flow of red blood cell in capillary when diameter of red blood cell is greater than tube diameter, In this case, the cell must be deformed. Due to concentration gradients, the dissolved nutrient in substrate diffuses into surrounding tissue. Introducing approximations of the lubrication theory, squeezing flow of plasma in between the gap between cell and capillary wall have been solved with the help of approximate mathematical techniques. The computational results for concentration of dissolved nutrients, diffusive flux and normal component of velocity have been presented and discussed through graphs. We have also shown the effect of deformation parameter and permeability on these results.

Share and Cite:

R. Bali, S. Mishra and M. Mishra, "Effect of Deformation of Red Cell on Nutritional Transport in Capillary-Tissue Exchange System," Applied Mathematics, Vol. 2 No. 11, 2011, pp. 1417-1423. doi: 10.4236/am.2011.211200.

Cited by

[1] Bio-Mechanical and Bio-Rheological Aspects of Sickle Red Cells in Microcirculation: A Mathematical Modelling Approach
Fluids, 2021
[2] DISPERSION OF A SOLUTE IN A COUPLE STRESS FLUID WITH CHEMICAL REACTION USING GENERALIZED DISPERSION MODEL
2020
[3] Production Inventory Model for Deteriorating Items with Shortages and Salvage Value Under Reverse Logistics
2017
[4] Applications of Partial Differential Equations in Stability Index and Critical Length in Avalanche Dynamics
2016
[5] 'BALANCING AND SEQUENCING'VERSUS 'ONLY BALANCING'IN MIXED MODEL U-LINE ASSEMBLY SYSTEMS: AN ECONOMIC ANALYSIS
2016
[6] On the Almost Surely Convergence of the Specific Sequence on Dp, q Metric
2016
[7] AN APPLICATION OF FUZZY NUMBERS TO THE ASSESSMENT OF MATHEMATICAL MODELLING SKILLS
2016
[8] DESIGN AND DEVELOPMENT OF THE STRATEGY TO IMPROVE PATIENT SATISFACTION IN A HOSPITAL SETTING
2016
[9] APPLICATION OF THE SINC APPROXIMATION TO THE SOLUTION OF BRATU'S PROBLEM
2016
[10] An Application of Trajectories Ambiguity in Two-State Markov Chain
2016
[11] MAXIMAL ALLOCATED BENEFIT AND MINIMAL ALLOCATED COST AND ITS APPLICATION
2016
[12] Hierarchical Computation of Hermite Spherical Interpolant
2016
[13] Application of the singular boundary value problem for investigation of piston dynamics under polytropic expansion process
2016
[14] COUPLED FIXED POINT THEOREMS FOR GENERALIZED Φ-MAPPINGS SATISFYING CONTRACTIVE CONDITION OF INTEGRAL TYPE ON CONE METRIC …
2016
[15] Convergence theorems for asymptotically pseudocontractive mappings in the intermediate sense for the modified Noor iterative scheme
2015
[16] GENERALIZATION OF TITCHMARSH'S THEOREM FOR THE DUNKL TRANSFORM IN THE SPACE
2015
[17] Analysis of Finite Buffer Renewal Input Queue with Balking and Markovian Service Process
2015
[18] Differential transformation method for solving fuzzy fractional heat equations
2015
[19] DYNAMIC COMPLEXITY OF A THREE SPECIES COMPETITIVE FOOD CHAIN MODEL WITH INTER AND INTRA SPECIFIC COMPETITIONS
2015
[20] A NOTE ON
2015
[21] ADOMIAN DECOMPOSITION METHOD AND PADÉ APPROXIMATION TO DETERMINE FIN EFFICIENCY OF CONVECTIVE SOLAR AIR COLLECTOR IN STRAIGHT …
2015
[22] THE COMPARISON OF TWO METHOD NONPARAMETRIC APPROACH ON SMALL AREA ESTIMATION (CASE: APPROACH WITH KERNEL METHODS AND …
2014
[23] Using PG Elements for Solving Fredholm Integro-Differential Equations
2014
[24] Resolution Method for Mixed Integer Linear Multiplicative-Linear Bilevel Problems Based on Decomposition Technique
2014
[25] A SIMPLIFIED LAGRANGIAN MULTIPLIER APPROACH FOR FIXED HEAD SHORT-TERM HYDROTHERMAL SCHEDULING
2014
[26] AN IMPROVED CONTROLLED CHAOTIC NEURAL NETWORK FOR PATTERN RECOGNITION
2014
[27] Finite population single server batch service queue with compulsory server vacation
2014
[28] Effect of electric field on PD activity and damage into solid dielectric materials
2014
[29] Effects of Magnetic Field on the Red Cell on Nutritional Transport in Capillary-Tissue Exchange System
International Journal of Mathematical Modelling & Computations, 2014
[30] A New Two Step Class of Methods with Memory for Solving Nonlinear Equations with High Efficiency Index
2014
[31] An Intelligent Fault Diagnosis Approach for Gears and Bearings Based on Wavelet Transform as a Preprocessor and Artificial Neural Networks
2014
[32] CONSTANT STRESS ACCELERATED LIFE TESTING DESIGNWITH TYPE-II CENSORING SCHEME FOR PARETO DISTRIBUTION USING GEOMETRIC PROCESS
2014
[33] Solving Singular ODEs in Unbounded Domains with Sinc-Collocation Method
2014
[34] SOLVING BLASIUS EQUATION USING IMPERIALIST COMPETITIVE ALGORITHM
2014
[35] A FUZZY MODEL FOR ASSESSMENT PROCESSES
2014
[36] COUPLING MODEL FOR MULTI-COMPONENT GAS PERMEATION PROCESS
2014
[37] MATHEMATICAL MODELLING FOR DICE FINDER GAME PROBLEM
2014
[38] MATHEMATICAL ANALYSIS OF NEWLY DESIGNED TWO POROUS LAYERS SLIDER BEARING WITH A CONVEX PAD UPPER SURFACE CONSIDERING SLIP …
2014
[39] Solving a step fixed charge transportation problem by a spanning tree-based memetic algorithm
2014
[40] Using Free Disposal Hull Models in Supply Chain Management
2013
[41] Energy aware distributed partitioning detection and connectivity restoration algorithm in wireless sensor networks
2013
[42] Approximate algorithm for the multi-dimensional knapsack problem by using multiple criteria decision making
2013
[43] Spline Collocation Method for Solving Boundary Value Problems
2013
[44] A New Approach to Solve Differential Equations Arising in Fluid Mechanics
2013
[45] A BOUNDARY-FITTED SHALLOW WATER MODEL OF SIMULATE TIDE AND SURGE FOR THE HEAD BAY OF BENGAL–APPLICATION TO CYCLONE SIDR (2007) …
2013
[46] Stability Analysis of a Plankton System with Delay
2013
[47] On the Stability and Threshold Analysis of an Epidemic Model
2013
[48] SIMULATION OF TETRACYCLINE ONTO GRAPHENE NANO SHEET
2013
[49] Game of Coordination for Bacterial Pattern Formation: A Finite Automata Modelling
2013
[50] B-spline collocation approach for solution of Klein-Gordon equation
2013
[51] THE STUDY OF PACKET LOSS EFFECT ON NETWORK CONTROL SYSTEM ERROR FUNCTION MODEL
2013
[52] Application of HPM and HAM to the First Form of Blasius Equation
2013
[53] The Elzaki Homotopy Perturbation Method for Partial Differential Equations
2013
[54] Solving integro-differential equation by using B-spline interpolation
2013
[55] APPLICATION NEURAL NETWORK TO SOLVE ORDINARY DIFFERENTIAL EQUATIONS
2013
[56] Study of Oil Spill on the Sea Surface in the Presence of Thermal and Concentration Buoyancy Effects
2013
[57] An electromagnetism-like algorithm for fixed charge solid transportation problem
2013
[58] Analytical-Numerical Solution for Nonlinear Integral Equations of Hammerstein Type
2012
[59] Application Of Kriging Method In Surrogate Management Framework For Optimization Problems
2012
[60] Coupled fixed point theorems for generalized φ-mappings satisfying contractive condition of integral type on cone metric spaces
2012
[61] Application of DEA for selecting most efficient information system project with imprecise data
2012
[62] A Model for Evolutionary Dynamics of Words in a Language
2012
[63] An Iterative Method with Six-Order Convergence for Solving Nonlinear Equations
2012
[64] Numerical solution of integro-differential equation by using Chebyshev wavelet operational matrix of integration
2012
[65] Solving Nonlinear Two-Dimensional Volterra Integral Equations of the First-kind Using the Bivariate Shifted Legendre Functions
2012
[66] The Relation Between Topological Ordering and Adjacency Matrix in Digraphs
2012
[67] The Identification of efficiency by using Fuzzy numbers
2012
[68] A Homotopy Perturbation Algorithm and Taylor Series Expansion Method to Solve a System of Second Kind Fredholm Integral Equations
2011
[69] Orthogonal zero interpolants and applications
2011
[70] OPTIMAL RESOURCE ALLOCATION IN DEA WITH INTEGER VARIABLES
2011
[71] Imprecise Data Envelopment Analysis Approach in Performance Evaluation of Supply Chain
2011
[72] The Comparison of Efficient Radial Basis Functions Collocation Methods for Numerical Solution of the Parabolic PDE's
2011
[73] Minimal Solution of Inconsistent Fuzzy Matrix Equations
2011
[74] UNDERSTANDING BEHAVIOR OF ANTINEOPLASTIC MOLECULES BASED ON MLR MODELS
2011
[75] Ranking DMUs on the benchmark line with equal shadow prices
2011
[76] Fusion Frames in Hilbert Spaces
2011
[77] THE USE OF THE HE'S ITERATION METHOD FOR SOLVING NONLINEAR EQUATIONS USING CADNA LIBRARY
2011
[78] THE APPLICATION OF THE VARIATIONAL HOMOTOPY PERTURBATION METHOD ON THE GENERALIZED FISHER'S EQUATION
2011
[79] Interpolation by Hyperbolic B-spline Functions
2011
[80] Application of the Bellman and Zadeh's principle for identifying the fuzzy decision in a network with intermediate storage
2011
[81] Introduction And Development Of Surrogate Management Framework For Solving Optimization Problems
2011
[82] Non-Polynomial Spline Solutions for Special Nonlinear Fourth-Order Boundary Value Problems
2011
[83] A Cyclone Induced Storm Surge Forecasting Model for the Coast of Bangladesh with Application to the CycloneSIDR'
2011
[84] Spline collocation for nonlinear Fredholm integral equations
2011
[85] APPLICATION OF PARTIAL DIFFERENTIAL EQUATIONS IN SNOW MECHANICS
2011
[86] Unboundedness in MOILP and its Efficient Solutions
2011
[87] The Scaling Law for the Discrete Kinetic Growth Percolation Model
2011

Journals Menu
Follow SCIRP
Contact us
+1 323-425-8868
customer@scirp.org
WhatsApp +86 18163351462(WhatsApp)
Click here to send a message to me 1655362766
Paper Publishing WeChat

Copyright © 2024 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.