Passive Mass Transport Processes in Cellular Membranes and their Biophysical Implications - Porous Media: Applications in Biological Systems and Biotechnology - page 295

8

Passive Mass Transport Processes in Cellular
Membranes and their Biophysical
Implication s

Armin Kargol
Department of Physics, Loyola University, New Orleans, LA

Marian Kargol
Department of Physics, The Jan Kochanowski University of Humanities
and Sciences, Kielce, Poland

CONTENTS

8.1 Introduction ................................................................. 296

8.2 Thermodynamic KK Equations ............................................ 297

8.2.1 Derivation of Phenomenological KK Equations .................... 298

8.2.2 Practical KK Equations............................................. 301

Transport Parameters L p , σ , and ω

8.2.3 ................................ 302

8.3 Porous Membranes .......................................................... 303

8.3.1 Homogeneous and Inhomogeneous Porous

Membranes .......................................................... 304

8.3.2 Poiseuille's Equation for Individual Pores and for the Membrane . 305

8.4 Mechanistic Equations of Membrane Transport ............................ 306

8.4.1 Equation for the Volume Flux ...................................... 307

8.4.2 Equation for the Solute Flux ....................................... 308

8.4.2.1 Case 1...................................................... 309

8.4.2.2 Case 2...................................................... 309

8.4.3 Correlation Relation for Parameters L p , σ , and ω d ................ 310

8.4.4 2P Form of the Mechanistic Equations ............................. 311

8.4.5 Corrected Form of the Mechanistic Transport Equations .......... 311

8.4.6 Equivalence of KK and ME Equations ............................. 312

8.5 Water Exchange between Aquatic Plants and the Environment ........... 314

8.5.1 KK Equations Applied to Water Exchange by Aquatic Plants .... 314

8.5.2 Water Exchange Described by Mechanistic Equations ............. 315

8.5.3 Numerical Results for Nitella translucens and Chara Corallina .... 317

8.6 Passive Transport through Cell Membranes of Human Erythrocytes ...... 317

8.6.1

Regulation of Water Exchange between Erythrocytes and
Blood Plasma ....................................................... 319

8.6.2 Distribution of Pore Sizes ........................................... 320

8.7 Comparison of Transport Formalisms: KK, ME, and 2P .................. 324

8.8 References ................................................................... 327

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