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Berkeley - MCB - 137
Simple ODE Solvers - DerivationThese notes provide derivations of some simple algorithms for generating, numerically, approximate solutions to the initial value problem y (t) = f t, y(t) y(t0 ) = y0 Here f (t, y) is a given function, t0 is a given
Berkeley - MCB - 137
Life at Low Reynolds Number E.M. Purcell Lyman Laboratory, Harvard University, Cambridge, Mass 02138 June 1976 American Journal of Physics vol 45, pages 3-11, 1977. Editor's note: This is a reprint of a (slightly edited) paper of the same title that
Berkeley - MCB - 137
MCB 137WINTER 2008BIOCHEMICAL REGULATIONIn this chapter we study the modules of biochemical regulation. Our treatment follows that of Tyson, et al. [1, 2]. These modules are components of biochemical control systems (systems biology is the curre
Berkeley - MCB - 137
Box 1 Behaviour of a simple positive feedback loop: sensitivity amplication, bistability, hysteresis and irreversibility Positive feedback loops have the potential to convert a transient stimulus into a self-sustaining, irreversible response. But irr
Berkeley - MCB - 137
Suppl MatlGoldbeter CommentsCurrent Biology, Vol. 13, 13981408, August 19, 2003, 2003 Elsevier Science Ltd. All rights reserved. DOI 10.1016/S 09 60 - 98 22 ( 03 )0 0 53 4- 7Autoinhibition with Transcriptional Delay: A Simple Mechanism for the
Berkeley - MCB - 137
NEUROBIOLOGY 1: EXCITATIONIntroductionThis chapter is based on Hodgkin and Huxleys Nobel Prize winning model for the squid axon. Although published over 50 years ago, their model remains today, the paradigm in cellular neurobiology (Hodgkin and Hux
Berkeley - MCB - 137
VOLTAGE ACTIVATED CHANNELS 2.0WINTER 2002VOLTAGE ACTIVATED CHANNELSA. BackgroundAn excitable nerve has voltage activated Na+ and K+ channels. We can no longer use the constant values for gK and gNa we used in the last exercise on the passive ce
Berkeley - MCB - 137
REVISED: 9/12/03Neurobiology 1IntroductionThis chapter begins with Hodgkin and Huxleys Nobel Prize winning model for the squid axon. Although published over 50 years ago, their model remains today the paradigm in cellular neurobiology(Hodgkin and
Berkeley - MCB - 137
MCB 137EXCITABLE & OSCILLATORY SYSTEMSWINTER 2008LIMIT CYCLE OSCILLATORSThe Fitzhugh-Nagumo EquationsThe best example of an excitable phenomenon is the firing of a nerve: according to the Hodgkin and Huxley equations a subthreshold depolariza
Berkeley - MCB - 137
MCB 137THE CELL CYCLEWINTER 2008MODELING THE CELL CYCLEIntroductionOne of the most exciting areas of current research in cell biology is the cell cycle. Finally, biologists are beginning to understand the mechanism that drives cells through t
Berkeley - MCB - 137
MCB 137VIRUS DYNAMICSWINTER 2008VIRUS POPULATION DYNAMICSIntroduction: The basic epidemic modelThe classical model for epidemics is described in [1] and [Chapter 10 of 2]. Consider a population of uninfected individuals who wander randomly ab
Berkeley - MCB - 137
MCB 137THYROID FEEDBACK REGULATIONWinter 2002Lesson 6.OBJECTIVESFEEDBACK REGULATION IN THYROID-PITUITARY SECRETION1. To study feedback interactions. 2. To simplify a complex system to a 2tank model. 3. To estimate model parameters.PROBLE
Berkeley - MCB - 137
MCB 137S 2008ERROR PREVENTION AND TROUBLESHOOTINGIntroductionThis chapter summarizes the common errors haunting the beginner modelers. Modeling is a tricky, error-inviting business, as you would probably agree through doing the homework problem
Berkeley - MCB - 137
MCB 137pH REGULATIONWINTER 2001REGULATION OF ORGANELLE ACIDITY IntroductionIntracellular compartments are largely defined by their lumenal pH. Regulation of organelle acidity is a vital aspect of cellular homeostasis. This lesson will show how
Berkeley - MCB - 137
Dramatic Rise in Plasma Viremia after CD8 T Cell Depletion in Simian Immunodeciency Virusinfected MacaquesBy Xia Jin,* Daniel E. Bauer,* Sarah E. Tuttleton,* Sharon Lewin,* Agegnehu Gettie,* James Blanchard, Craig E. Irwin,* Jeffrey T. Safrit, John
Berkeley - CS - 289
Task for Intelligent Agents BLOG: Probabilistic Models with Unknown ObjectsBrian MilchCS 289 12/6/04Joint work with Bhaskara Marthi, David Sontag, Daniel Ong, Andrey Kolobov, and Stuart RussellGiven observations, make inferences about underly
Berkeley - NUC - 135
COURSE ANNOUNCEMENTNUCLEAR FACILITIES OPERATIONSNE135Fall Semester 2001 Tuesdays and Thursdays, 12:30-2 pm 3102 Etcheverry Hall Diablo Canyon Field Trip: January 16-19, 2002 Instructors: Prof. Per Peterson, Jay James In NE135, we: Learn how a nuc
Berkeley - NUC - 104
NE-104A Practice Exam, Spring 2008NE-104A Spring Semester 2008 Practice Exam Closed book, see page 6 for constants, formulae, and data PART I: Radiation Detection & Measurements 1. A gamma-ray counter registers 970 counts in 10 seconds when measuri
Berkeley - NUC - 104
Date:April 19, 2008 All participants arrive at the center by 9:30 AMMORNING SESSION09:30 to 11:00 AM* Check in + Welcome/ briefing in the trailer(Moe Boussoufi ) * MNRC site tour (Guy/Bo/Eg)11:00 to 11:30 PM* Lunch break, food supplied by
Berkeley - NUC - 104
XV. Reactor Flux Measurements (Special experiment at McClellan Nuclear Radiation Center) The neutron spatial distribution and energy spectrum are some of the most important characteristics of a reactor. Spatial distribution is the subject of the subc
Berkeley - NUC - 104
NE-104A: Nuclear Engineering LaboratoryDepartment of Nuclear Engineering University of California Berkeley Spring Semester 2008Problem Set 1Assignment Date: Wednesday 1/30/08 Due: Wednesday 2/6/08 10:00Chapter 1 of the text, p. 27, problems 1.1
Berkeley - NUC - 104
NE-104A Problem Set 1 Answers Spring 2008 [100 points total] x 0.05 1.1 a) line b) continuous c) line d) line e) line f) line g) continuous h) continuous i) line (+ weak continuum from annihilation in flight) [2 points each] Ee- = E - Bshell Since BL
Berkeley - NUC - 104
NE-104A: Nuclear Engineering LaboratoryDepartment of Nuclear Engineering University of California Berkeley Spring Semester 2008Problem Set 2Assignment Date: Wednesday 2/6/2007 Due: Wednesday 2/13/2007 10:00 a.m.Chapter 2 of the text, pp. 63-64,
Berkeley - NUC - 104
NE-104A Problem Set 2 Answers Spring 2008 Total: (100 + 15 E.C. points) [x 0.05]2.3dE cm 2 g 2 4 10 MeV 19.32 = 7700 MeV / cm dx g cm 3 E = 7700 MeV / cm 5 10 6 m 100 cm / m = 3.9 MeV[15 points] Use the Si curve2.40.5 g / cm 2 R= =
Berkeley - NUC - 104
NE-104A: Nuclear Engineering LaboratorySpring Semester 2008Problem Set 3Assignment Date: Wednesday 2/13/08 Due: Wednesday 2/20/08 10:00 1. Which of the following numbered methods would you use to assign an uncertainty in each of the following val
Berkeley - NUC - 104
NE-104A: Nuclear Engineering LaboratorySpring Semester, 2008Problem Set 3 Answers Total: (100 + 15 E.C. points) [x 0.05]1. Which of the following numbered methods would you use to assign an uncertainty in each of the following values? A. B. C. D.
Berkeley - NUC - 104
NE-104A: Nuclear Engineering LaboratoryDepartment of Nuclear Engineering University of California Berkeley Spring Semester 2008Problem Set 4Assignment Date: Wednesday 2/20/08 Due: Wednesday 2/27/08 10:00Chapter 3 of the Knoll, pp. 100-101, prob
Berkeley - NUC - 104
NE-104A: Nuclear Engineering Laboratory Problem Set 4 Answers(10 points each = 100 x 0.05) 3.5 Poisson (or bionomial) statistics, n= 250 or 100, p=1/60 a.x = pn = 250 / 60 = 4.17or= =b.x = 2.04 x (1 p) =4.17(1 1 / 60) = 2.02orx x e
Berkeley - NUC - 104
NE-104A: Nuclear Engineering LaboratoryDepartment of Nuclear Engineering University of California Berkeley Spring Semester 2008Problem Set 5Assignment Date: Wednesday 2/27/08 Due: Wednesday 3/5/08 10:00Chapter 6 of Knoll, p. 197, problem 6.8 Ch
Berkeley - NUC - 104
Answers to problem set 5 [Total 100 points x 0.05]6.8 1 10 6 v / m = 10 4 v / cm =Vbias b 10 v / cm ln a4Vbias rmax ln b a= 0.03076 cmrmax ==2000 v 2 10 v / cm ln 0.0034Fraction of volume in which cascades occur =2 rmax a 2 0.
Berkeley - NUC - 104
NE-104A: Nuclear Engineering LaboratoryDepartment of Nuclear Engineering University of California Berkeley Spring Semester 2008Problem Set 6Assignment Date: Wednesday 3/5/2007 Due: Wednesday 3/19/2007Chapter 8 of Knoll, p. 260, problems 8.1 8.3
Berkeley - NUC - 104
Answers to problem set 6 Total 100 points [x 0.05] 8.1 E scintillation photons6.626 10 27 erg 2.998 108 m / s = = 447 x10 9 m 1602 10 6 erg / MeV . hc= 2.774 x 10-6 MeV20,300 2.774 10 6 MeV Scint. Efficiency = = 0.0563 (5.63%) 1 MeV
Berkeley - NUC - 104
NE-104A: Nuclear Engineering LaboratoryDepartment of Nuclear Engineering University of California Berkeley Spring Semester 2008Problem Set 7Assignment Date: Wednesday 3/18/2008 Due: Wednesday 4/9/2008Chapter 14 of Knoll, p. 533 Problems 14.1, 1
Berkeley - NUC - 104
Answers to problem set 7 Total 155 points 14.1 1.) P.C. vs. G-M: PC provides energy information and therefore allows to distinguish neutron-induced reactions from background such as gamma rays (6) 2.) P.C. vs I.C.: PC provides larger signal amplitude
Berkeley - NUC - 104
IIBNL47594INFORMAL 'REPORTie,.-a,,-.- _.,.. -4LECTURE NOTES FORCR ITlCALlTY SAFETYbyRalph Fullwood March 1992IDEPARTMENT OF NUCLEAR ENERGY, BROMHAVEN NATIONAL LABORATORY UPTON, NEW YORK 119731Prepared for the U.
Berkeley - NUC - 104
DEPARTMENT OF NUCLEAR ENGINEERING University of California Berkeley, CaliforniaNE-104A Experiment #1 (Revised 1/2008 by K. Vetter)Oscilloscopes and Pulse-detection ElectronicsI. Learning to Use the EquipmentI.AThe OscilloscopeThe oscillos
Berkeley - NUC - 104
DEPARTMENT OF NUCLEAR ENGINEERING University of California Berkeley, California NE-104A Experiment #2 (Revised 1/2007 by K. Vetter) Geiger-Mller Counters The purpose of this experiment is to determine the operating characteristics of a Geiger countin
Berkeley - NUC - 104
DEPARTMENT OF NUCLEAR ENGINEERING University of California Berkeley, CaliforniaNE-104A Experiment #3 (Revised 1/2007 by K. Vetter) Silicon Semiconductor Detectors This experiment utilizes silicon surface-barrier detectors to do three different expe
Berkeley - NUC - 104
DEPARTMENT OF NUCLEAR ENGINEERING University of California Berkeley, CaliforniaNE-104A Experiment #4 (Revised 1/2007 by K. Vetter) Stopping Power for Alpha Particles The purposes of this experiment are to measure (1) the thickness of the surface wi
Berkeley - NUC - 104
DEPARTMENT OF NUCLEAR ENGINEERING University of California Berkeley, California NE 104A Experiment #6 (Revised 2/2008 by K. Vetter) Neutron Activation Analysis with HPGe Detectors Purpose In this experiment a high-purity germanium (HPGe) detector is
Berkeley - NUC - 104
DEPARTMENT OF NUCLEAR ENGINEERING University of California Berkeley, California NE 104a Experiment #7 (Revised 3/2008 by K. Vetter) Neutron Detection Purpose The purpose of this experiment is to evaluate and compare three different neutron detectors.
Berkeley - NUC - 104
DEPARTMENT OF NUCLEAR ENGINEERING University of California Berkeley, California NE 104a Experiment #9 (Revised 1/2008 by K. Vetter) Neutron Flux Measurement at the McClellan Nuclear Radiation Center (MNRC) Saturday April 19, 2008 This experiment is p
Berkeley - NUC - 104
How to Write a Laboratory Report for NE-104Apage 1DEPARTMENT OF NUCLEAR ENGINEERING University of California Berkeley, California C. M. Lederer/ K. VetterHow to Write a Laboratory Report for NE-104AMost of the effort to produce an NE-104A labo
Berkeley - NUC - 281
NE 281 Practice Questions for Midterm II Spring 20071. A 4.0 GHz wave is launcehd form the outside edge of a tokamak. The density is parabolic, i. e. n(r) = n0 1 r a2, with n0 = 1.0 1020m3. The magnetic eld is 4.0 T in the center of the plasma
Berkeley - NUC - 180
Fusion ResearchPrinciples, Experiments and TechnologyDo/anPergamon PressLibrary of CongressCatalogingin PublicationDataDolan, Thomas James, 1939Fusion research. Includes indexes. 1. Nuclear fusion. QC791. D84 1980 ISBN O-08-0255855 I. T
Berkeley - NUC - 280
Fusion Reactor Engineering Nuclear Engineering 280 Spring Semester 2004E. C. Morse Class meets at 3:30 to 5:00 PM Tuesday and Thursday, Rm. 72 Evans. Text:Fusion Research - Volume III - Technology, J. Dolan. Recommended Supplemental Text: Plasma Ph
Berkeley - NUC - 290
Expanded Course Description Nuclear Engineering 290D Analytical Methods for Non-ProliferationCourse SummaryLaboratory and lecture. Use of nuclear measurement techniques to detect clandestine movement and/or possession of nuclear materials by thir
Berkeley - STAT - 104
MATH H104 LECTURE 1, AUGUST 30, 2005LECTURER: YUVAL PERES. SCRIBE: THOMSON NGUYENLet Z be the set of all integers {0, 1, 1, 2, 2, . . .} and let N be the positive integers {1, 2, 3, . . .}. Denote the rational numbers by Q = { a : a, b Z and b =
Berkeley - STAT - 104
Math H104: Honors Introduction to AnalysisFall 2005Lecture 1: August 30Lecturer: Yuval Peres Scribe: Thomson Nguyen Let Z be the set of all integers {0, 1, 1, 2, 2, . . .} and let N be the positive integers {1, 2, 3, . . .}. Denote the rational
Berkeley - STAT - 104
MATH H104 LECTURE, NOVEMBER 2, 2005LECTURER: YUVAL PERES. SCRIBE: ORIE SHELEFTheorem 0.1. Let X,Y be metric spaces. If fn : X Y are continuous and fn converges to f : X Y uniformly then f is continuous. Denition 0.2. (Reminder - Uniform Converge
Berkeley - STAT - 104
MATH H104 LECTURE 20, NOVEMBER 10, 2005LECTURER: YUVAL PERES. SCRIBE: BERNARD LIANGDenition 20.1: A metric space X is separable if there is a countable set D X which is dense in X. (Examples: R is separable. Rn is separable; Qn Rn is dense.) Mor
Berkeley - STAT - 104
MATH H104 LECTURE 23, NOVEMBER 15, 2005LECTURER: YUVAL PERES. SCRIBE: BRIAN SHOTWELLWe move on to your 2nd (or 3rd) exposure to Calculus. Denition 0.1. The derivative of a function f (x) is denoted by f (x), which is dened by f (x + h) f (x) = L.
Berkeley - STAT - 104
MATH H104 LECTURE 24, NOVEMBER 17, 2005LECTURER: YUVAL PERES. SCRIBE: DAVID WONGTheorem 0.1 (Darbouxs Theorem). Given f dierentiable on [a, b], dened in a neighborhood of [a, b], f attains any value between f (a) and f (b). Proof. Suppose f (a) <
Berkeley - STAT - 104
MATH H104 LECTURE 25, NOVEMBER 22, 2005LECTURER: YUVAL PERES. SCRIBE: JONATHAN GOLDMANConvergence of Series. Suppose > 0. Then(1)n=11 < for > 1 n = for 1Blocking Test. Suppose {an }n1 is a sequence which is decreasing (weakly) and an
Berkeley - STAT - 104
MATH H104 LECTURE XX, NOVEMBER 29, 2005LECTURER: YUVAL PERES. SCRIBE: KE LURead compelet proof of taylor approximation in text. Recap, points reached: Rn (h) = f (x + h) Pn (h) n f (k) (x) Pn (h) = hk k=0 k! If f C n+1 (a, b) and x (a, b) then