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Fluid Dynamics of Cell Motility [Pehme köide]

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(University of Cambridge)
  • Formaat: Paperback / softback, 410 pages, kõrgus x laius x paksus: 244x170x18 mm, kaal: 750 g, Worked examples or Exercises; 55 Halftones, black and white; 23 Line drawings, black and white
  • Sari: Cambridge Texts in Applied Mathematics
  • Ilmumisaeg: 05-Nov-2020
  • Kirjastus: Cambridge University Press
  • ISBN-10: 1316626709
  • ISBN-13: 9781316626702
Teised raamatud teemal:
Fluid Dynamics of Cell MotilitySuurem pilt
  • Formaat: Paperback / softback, 410 pages, kõrgus x laius x paksus: 244x170x18 mm, kaal: 750 g, Worked examples or Exercises; 55 Halftones, black and white; 23 Line drawings, black and white
  • Sari: Cambridge Texts in Applied Mathematics
  • Ilmumisaeg: 05-Nov-2020
  • Kirjastus: Cambridge University Press
  • ISBN-10: 1316626709
  • ISBN-13: 9781316626702
Teised raamatud teemal:
Püsilink: https://www.kriso.ee/db/9781316626702.html
Märksõnad:
"Fluid dynamics plays a crucial role in many cellular processes, including the locomotion of cells such as bacteria and spermatozoa. These organisms possess flagella, slender organelles whose time periodic motion in a fluid environment gives rise to motility. Sitting at the intersection of applied mathematics, physics and biology, the fluid dynamics of cell motility is one of the most successful applications of mathematical tools to the understanding of the biological world. Based on courses taught over several years, this book details the mathematical modelling necessary to understand cell motility in fluids, covering phenomena ranging from single-cell motion to instabilities in cell populations. Each chapter introduces mathematical models to rationalise experiments, uses physical intuition to interpret mathematical results, highlights the history of the field and discusses notable current research questions. All mathematical derivations are included for students new to the field, and end-of-chapter exercises help to consolidate understanding and practise applying the concepts"--

A pedagogical review of the mathematical modelling in fluid dynamics necessary to understand the motility of most microorganisms on Earth.

Muu info

A pedagogical review of the mathematical modelling in fluid dynamics necessary to understand the motility of most microorganisms on Earth.
Preface xi
PART ONE FUNDAMENTALS
1(62)
1 Biological Background
3(9)
1.1 The Biological World
3(1)
1.2 Fluid Dynamics in Biology
4(1)
1.3 Biological Locomotion
5(1)
1.4 Locomotion at Low Reynolds Number
6(1)
1.5 Organelles that Confer Cell Motility
6(4)
1.6 Cellular Locomotion as a Case Study in Modelling
10(1)
Further Reading
11(1)
2 The Fluid Dynamics of Microscopic Locomotion
12(17)
2.1 Dynamics of Locomotion
12(2)
2.2 Reynolds Numbers
14(2)
2.3 The Stokes Equations
16(1)
2.4 Low Reynolds Number Dynamics
17(1)
2.5 Rate of Work and Dissipation
18(1)
2.6 Forced vs. Force-Free Motion
19(4)
2.7 Properties of Low Reynolds Number Locomotion
23(4)
Further Reading
27(1)
Exercises
27(2)
3 The Waving Sheet Model
29(16)
3.1 Biological Motivation
29(2)
3.2 Setup
31(1)
3.3 Asymptotic Solution
32(5)
3.4 Rate of Work
37(2)
3.5 Wave Optimisation
39(2)
3.6 Comparison with Experiments: Metachronal Waves of Cilia
41(2)
Further Reading
43(1)
Exercises
43(2)
4 The Squirmer Model
45(18)
4.1 Axisymmetric Squirmer
45(4)
4.2 Free-Swimmer Squirmer
49(2)
4.3 Rotating Squirmer
51(4)
4.4 Envelope Model
55(3)
4.5 Comparison with Experiments: Volvox Locomotion
58(2)
Further Reading
60(1)
Exercises
61(2)
PART TWO CELLULAR LOCOMOTION
63(94)
5 Flagella and the Physics of Viscous Propulsion
65(12)
5.1 Kinematics of Flagellar Propulsion
65(2)
5.2 Forces and Torques in Stokes Flows
67(2)
5.3 Physics of Drag-Based Propulsion
69(3)
5.4 Helices and Travelling Waves Are Optimal
72(3)
Further Reading
75(1)
Exercises
75(2)
6 Hydrodynamics of Slender Filaments
77(20)
6.1 Revisiting Stokes Flow Past a Sphere
77(2)
6.2 Line Superposition of Hydrodynamic Singularities
79(7)
6.3 Local Hydrodynamics: Resistive-Force Theory (RFT)
86(3)
6.4 Nonlocal Hydrodynamics: Slender-Body Theory
89(5)
Further Reading
94(1)
Exercises
95(2)
7 Waving of Eukaryotic Flagella
97(23)
7.1 Swimming of a Periodically Waving Flagellum
97(6)
7.2 Hydrodynamically Optimal Travelling Wave
103(2)
7.3 Swimming of a Finite Flagellum
105(2)
7.4 Active Filaments
107(9)
Further Reading
116(1)
Exercises
117(3)
8 Rotation of Bacterial Flagellar Filaments
120(19)
8.1 Hydrodynamic Resistance of Helical Filaments
120(2)
8.2 Swimming of a Flagellated Bacterium
122(6)
8.3 Swimming Using Finite-Size Helical Filaments
128(2)
8.4 Optimal Helical Swimming
130(6)
Further Reading
136(1)
Exercises
137(2)
9 Flows and Stresses Induced by Cells
139(18)
9.1 Force-Free Swimming
139(1)
9.2 Force Dipoles
140(6)
9.3 Leading-Order Flow Around Cells
146(2)
9.4 Other Relevant Flow Singularities
148(3)
9.5 Average Stress Induced by Cells
151(4)
Further Reading
155(1)
Exercises
156(1)
PART THREE INTERACTIONS
157(196)
10 Swimming Cells in Flows
159(27)
10.1 Spherical Swimmers in Flows
160(8)
10.2 Elongated Swimmers in Flows
168(11)
10.3 Biased Swimmers in Flows
179(4)
Further Reading
183(1)
Exercises
184(2)
11 Self-Propulsion and Surfaces
186(40)
11.1 Hydrodynamic Attraction by Surfaces
186(13)
11.2 Circular Swimming near Surfaces
199(4)
11.3 Upstream Swimming
203(5)
11.4 Impact of Surfaces on Swimming Speeds
208(8)
11.5 Wall-Bound Cilia
216(7)
Further Reading
223(2)
Exercises
225(1)
12 Hydrodynamic Synchronisation
226(43)
12.1 Synchronisation of Anchored Flagella and Cilia
226(16)
12.2 Synchronisation of Swimming Cells
242(23)
Further Reading
265(1)
Exercises
266(3)
13 Diffusion and Noisy Swimming
269(22)
13.1 Brownian Motion
269(10)
13.2 Cells vs. Noise
279(6)
13.3 Run-and-Tumble
285(4)
Further Reading
289(1)
Exercises
289(2)
14 Hydrodynamics of Collective Locomotion
291(24)
14.1 Discrete Model of Active Suspensions
291(8)
14.2 Continuum Model of Active Suspensions
299(5)
14.3 Collective Instabilities
304(8)
Further Reading
312(1)
Exercises
313(2)
15 Locomotion and Transport in Complex Fluids
315(38)
15.1 Locomotion and Transport in Linear Viscoelastic Fluids
315(10)
15.2 Locomotion and Transport in Nonlinear Viscoelastic Fluids
325(13)
15.3 Locomotion and Transport in Heterogeneous Fluids
338(9)
Further Reading
347(2)
Exercises
349(4)
References 353(18)
Index 371
Eric Lauga is Professor of Applied Mathematics at the University of Cambridge and a Fellow of Trinity College, Cambridge. He is the author, or co-author, of over 170 publications in the field of fluid mechanics, biophysics and soft matter. He is a recipient of a CAREER Award from the US National Science Foundation (2008), and of three awards from the American Physical Society: the Andreas Acrivos Dissertation Award in Fluid Dynamics (2006), the François Frenkiel Award for Fluid Mechanics (2015) and the Early Career Award for Soft Matter Research (2018). Lauga is a Fellow of the American Physical Society.