Brownian dynamics at boundaries and interfaces: in physics, chemistry, and biology
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York, NY [u.a.]
Springer
2013
|
| Series: | Applied mathematical sciences
186 |
| Subjects: | |
| Online Access: | BTU01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Physical Description: | 1 Online-Ressource |
| ISBN: | 9781461476863 9781461476870 |
| DOI: | 10.1007/978-1-4614-7687-0 |
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Record in the Search Index
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| adam_text | BROWNIAN DYNAMICS AT BOUNDARIES AND INTERFACES
/ SCHUSS, ZEEV
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
THE MATHEMATICAL BROWNIAN MOTION
EULER SIMULATION OF ITO SDES
SIMULATION OF THE OVERDAMPED LANGEVIN EQUATION
THE FIRST PASSAGE TIME OF A DIFFUSION PROCESS
CHEMICAL REACTION IN MICRODOMAINS
THE STOCHASTIC SEPARATRIX
NARROW ESCAPE IN R2
NARROW ESCAPE IN R3
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
BROWNIAN DYNAMICS AT BOUNDARIES AND INTERFACES
/ SCHUSS, ZEEV
: 2013
ABSTRACT / INHALTSTEXT
BROWNIAN DYNAMICS SERVE AS MATHEMATICAL MODELS FOR THE DIFFUSIVE MOTION
OF MICROSCOPIC PARTICLES OF VARIOUS SHAPES IN GASEOUS, LIQUID, OR SOLID
ENVIRONMENTS. THE RENEWED INTEREST IN BROWNIAN DYNAMICS IS DUE PRIMARILY
TO THEIR KEY ROLE IN MOLECULAR AND CELLULAR BIOPHYSICS: DIFFUSION OF
IONS AND MOLECULES IS THE DRIVER OF ALL LIFE. BROWNIAN DYNAMICS
SIMULATIONS ARE THE NUMERICAL REALIZATIONS OF STOCHASTIC DIFFERENTIAL
EQUATIONS THAT MODEL THE FUNCTIONS OF BIOLOGICAL MICRO DEVICES SUCH AS
PROTEIN IONIC CHANNELS OF BIOLOGICAL MEMBRANES, CARDIAC MYOCYTES,
NEURONAL SYNAPSES, AND MANY MORE. STOCHASTIC DIFFERENTIAL EQUATIONS ARE
UBIQUITOUS MODELS IN COMPUTATIONAL PHYSICS, CHEMISTRY, BIOPHYSICS,
COMPUTER SCIENCE, COMMUNICATIONS THEORY, MATHEMATICAL FINANCE THEORY,
AND MANY OTHER DISCIPLINES. BROWNIAN DYNAMICS SIMULATIONS OF THE RANDOM
MOTION OF PARTICLES, BE IT MOLECULES OR STOCK PRICES, GIVE RISE TO
MATHEMATICAL PROBLEMS THAT NEITHER THE KINETIC THEORY OF MAXWELL AND
BOLTZMANN, NOR EINSTEIN’S AND LANGEVIN’S THEORIES OF BROWNIAN MOTION
COULD PREDICT. THIS BOOK TAKES THE READERS ON A JOURNEY THAT STARTS WITH
THE RIGOROUS DEFINITION OF MATHEMATICAL BROWNIAN MOTION, AND ENDS WITH
THE EXPLICIT SOLUTION OF A SERIES OF COMPLEX PROBLEMS THAT HAVE
IMMEDIATE APPLICATIONS. IT IS AIMED AT APPLIED MATHEMATICIANS,
PHYSICISTS, THEORETICAL CHEMISTS, AND PHYSIOLOGISTS WHO ARE INTERESTED
IN MODELING, ANALYSIS, AND SIMULATION OF MICRO DEVICES OF MICROBIOLOGY.
THE BOOK CONTAINS EXERCISES AND WORKED OUT EXAMPLES THROUGHOUT
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Schuss, Zeev 1937- |
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| building | Verbundindex |
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| discipline | Mathematik |
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| spelling | Schuss, Zeev 1937- Verfasser (DE-588)140289216 aut Brownian dynamics at boundaries and interfaces in physics, chemistry, and biology Zeev Schuss New York, NY [u.a.] Springer 2013 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Applied mathematical sciences 186 Brownsche Bewegung (DE-588)4128328-4 gnd rswk-swf Brownsche Bewegung (DE-588)4128328-4 s 1\p DE-604 Applied mathematical sciences 186 (DE-604)BV040244599 186 https://doi.org/10.1007/978-1-4614-7687-0 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026822696&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026822696&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Schuss, Zeev 1937- Brownian dynamics at boundaries and interfaces in physics, chemistry, and biology Applied mathematical sciences Brownsche Bewegung (DE-588)4128328-4 gnd |
| subject_GND | (DE-588)4128328-4 |
| title | Brownian dynamics at boundaries and interfaces in physics, chemistry, and biology |
| title_auth | Brownian dynamics at boundaries and interfaces in physics, chemistry, and biology |
| title_exact_search | Brownian dynamics at boundaries and interfaces in physics, chemistry, and biology |
| title_full | Brownian dynamics at boundaries and interfaces in physics, chemistry, and biology Zeev Schuss |
| title_fullStr | Brownian dynamics at boundaries and interfaces in physics, chemistry, and biology Zeev Schuss |
| title_full_unstemmed | Brownian dynamics at boundaries and interfaces in physics, chemistry, and biology Zeev Schuss |
| title_short | Brownian dynamics at boundaries and interfaces |
| title_sort | brownian dynamics at boundaries and interfaces in physics chemistry and biology |
| title_sub | in physics, chemistry, and biology |
| topic | Brownsche Bewegung (DE-588)4128328-4 gnd |
| topic_facet | Brownsche Bewegung |
| url | https://doi.org/10.1007/978-1-4614-7687-0 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026822696&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026822696&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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