The stabilization of morphological field size during slime mold morphogenesis
|
|
- Lambert Perkins
- 6 years ago
- Views:
Transcription
1 /. Embry!, exp. Mrph. Vl. 44, pp , Printed in Great Britain Cmpany f Bilgists Limited 1977 The stabilizatin f mrphlgical field size during slime mld mrphgenesis By MICHAEL PEACOCK 1 AND DAVID R. SOLL 1 Frm the Department f Zlgy, University f Iwa SUMMARY The relatinship between aggregate size and mrphlgical field size has been investigated in the cellular slime mld Dictystelium discideum. Evidence is presented that aggregate size and field size exhibit different temperature sensitivities and that an aggregate can be induced t separate int several mrphlgical fields by a decrease in temperature. In additin,, evidence is presented that field size is stabilized at a pint in time just prir t tip frmatin. INTRODUCTION When amebae f a lg-phase culture f Dictystelium discideum are dispersed as a multicellular carpet n a filter saturated with buffered salts slutin,, they separate int discrete aggregates. These aggregates then prgress thrugh a defined sequence f mrphlgical stages resulting in a fruiting bdy. Nrmally, each aggregate frms a single tip at the tp which appears t functin as an rganizer fr a single mrphlgical field (Raper, 1940; Farnswrth, 1973; Rubin & Rbertsn, 1975). Each field then gives rise t a single fruiting bdy. In this reprt we have investigated the relatinship between the size f the aggregate and the size f the mrphlgical field. Evidence will be presented that aggregate size and field size exhibit different temperature sensitivities and that an aggregate can be induced t separate int several mrphlgical fields by a decrease in temperature. These results indicate that different mechanisms cntrl aggregate size and field size, and that aggregate size des nt rigidly determine field size. In additin, it will be demnstrated that field size is stabilized at a pint in time just prir t tip frmatin. MATERIALS AND METHODS Grwth and maintenance f rganism Subclnes f the axenic strain f Dictystelium discideum, AX-3, clne RC-3, were maintained n lawns f Aerbacter aergenes n nutrient agar (Sussman, 1966). Axenic cultures were initiated by dispersing spres int 2 ml 1 Authrs' address: Department f Zlgy, University f Iwa, Iwa City, Iwa U.S.A. 4 EMB 44
2 46 M. PEACOCK AND D. R. SOLL f the axenic medium HL-5 (Ccucci & Sussman, 1970) cntaining 500 jug per ml f streptmycin sulfate in sterile test tubes. After several days these initial cultures were in turn inculated int 1000 ml Erlenmyer flasks cntaining 130 ml f liquid nutrient medium and rtated at 90 rev./min at 21 C. At this temperature amebae multiplied with a generatin time f apprximately 12 h and reached a final cell density f apprximately 2 x 10 7 per ml at statinary phase (Yarger, Stults & Sil, 1974; Sil, Yarger & Mirick, 1976). Cells were diluted int fresh medium when cell densities reached 5 x 10 6 per ml. Fr all experiments reprted in this cmmunicatin, cells were btained frm mid-lg-phase cultures at densities f 2 x 10 6 per ml. Initiating and mnitring mrphgenesis Lg-phase cells were washed twice in 10 ml f buffered salts slutin (0-02 M-KCI, 005 M-MgCl 2, 0-04 M phsphate buffer, ph 6-5, 35 mm streptmycin sulfate; Sussman, 1966); 5 x 10 7 washed amebae were then resuspended in ml f buffered salts slutin and dispersed n a black filter pad (4 cm diameter, Whatman n. 29; Sil & Waddell, 1975) verlaid n tw Millipre prefilters (number AP10037) saturated with buffered salts slutin. The develping cell culture and pads were centered in a Petri dish which in turn was placed in a humidity chamber at the desired temperature. T change the temperature during develpment, the black filter supprting the develping culture was transferred t saturated underpads preincubated at the desired temperature. Develpmental prgress as well as the number f fingers per aggregate were mnitred under a Nikn dissectin micrscpe with hrizntal lighting. Measuring aggregate diameters Aggregate diameters were measured under a Baush and Lmb dissectin micrscpe fitted with a calibrated micrmeter in ne eye-piece. Measurements were made at 60 x pwer. RESULTS When grwing Dictystelium amebae are washed free f nutrient medium and dispersed n a filter pad saturated with buffered salts slutin, they prgress thrugh an rdered sequence f stages t the final fruiting bdy. At 20 C the amebae begin aggregating after 6 h s that by 9 h they have separated int lse but discrete aggregates. In the next 2 h, each lse aggregate cnstricts at its perimeter s that by 11 h each aggregate appears as a near-perfect hemisphere referred t as a tight aggregate. After h, each tight aggregate frms a tip at its tp and appears slightly pyramidal, and then elngates rapidly int an inverted cne. By apprximately 13-5 h, the height f the cne is twice the diameter at the base. This mrphlgy is referred t as a finger. Each finger then gives rise t a fruiting bdy after 24 h ttal develpmental time.
3 Mrphlgical field size in slime mld mrphgenesis n I E rrrrn-n J i T-FR J Number f fingers per aggregate Fig. 1. The distributins f the number f fingers per aggregate at several different temperatures. Apprximately.100 aggregates were scred at each temperature. % CfJ 11 -, Cfl 1 Averat;c nuniber _ I 10 i I I 1 1 l l i Temperature ( C) Fig. 2. The relatinship between temperature and the average number ffingersper aggregate. The average number ffingersat each temperature represents the mean fr five separate experiments. The effect f lw temperatures upn the number f fingers per aggregate At 20 C the majrity f aggregates frm ne finger which in turn develps int ne fruiting bdy. In a standard experiment at 20 C apprximately 75 % f individual aggregates give rise t ne finger, 15 % t tw fingers, and 10 % t three fingers (Fig. 1); therefre, each aggregate n the average gives rise t 4-2
4 48 M. PEACOCK AND D. R. SOLL 4 -, I 2 I I T I I Temperature after transfer ( C) Fig. 3. The effect f a decrease in temperature at the tight aggregate stage n the average number f fingers per aggregate. Cultures were develped at 20 C t the tight aggregate stage and then shifted t the desired temperature and maintained at that temperature until fingers were frmed and culd be scred. 1-3 fingers. If amebae are allwed t develp at higher temperatures, the prprtin f aggregates giving rise t nly ne finger is even greater. Fr instance, at 24 C, 90 % f the initial aggregates give rise t ne finger and nly 10 % t tw fingers (Fig. 1); therefre, each aggregate n the average gives rise t 1-1 fingers. If amebae are allwed t develp at temperatures belw 20 C, the average number f fingers arising frm single aggregates increases dramatically. Fr instance, at 16 C each aggregate gives rise n the average t apprximately 2-8 fingers, the distributin ranging frm ne t nine fingers per aggregate (Fig. 1). At 10 C amebae aggregate int amrphus clusters which then separate int multiple fingers; each cluster gives rise n the average t ten fingers, the distributin ranging frm 1 t 22 fingers per cluster (Fig. 1). The relatinship f fingers per aggregate and develpmental temperature is pltted in Fig. 2. Althugh the average number f fingers per aggregate in a culture develping at 16 C is twice that in a culture develping at 20 C, the average tight aggregate diameters at the tw temperatures are nearly identical. At 20 C the average tight aggregate diameter is 316/mi (± 16S.D., 50 measurements) and at 16 C 296 jam (±77 s.d., 50 measurements). Since tight aggregates at bth temperatures appear t be near-perfect hemispheres, ne can cnvert average tight aggregate diameters int average vlumes using the frmula f a hemisphere. This cnversin results in average tight aggregate vlumes f 8-3 x 10 /*m 3 and 6-8 x 10 6 jltm 3 fr develpment at 20 and 16 C respectively. If ne then calculates
5 Mrphlgical field size in slime mld mrphgenesis i r 100 g 3-80 O - 60 f 2 ' - 40 a J LA I TA EC I I I I I 1 II ]5 16 Time f transfer (h) Fig. 4. The time f mrphlgical field size stabilizatin. Cultures develping at 20 C were shifted t 5 C beginning at the tight aggregate stage. Cultures were then maintained at 5 C until fingers were frmed and culd be scred. LA, TA, F, and EC represents the times at which the riginal ppulatin exhibited 50% lse aggregate, tight aggregate, finger, and early culminate mrphlgies respectively at 20 C. In additin, the percentage fingers in the riginal ppulatin at 20 C is pltted as a functin f time t demnstrate the pint that stabilizatin ccurs befre cmpletin f the finger mrphlgy. L 0 average field vlumes at 20 and 16 C by dividing the average tight aggregate vlumes by the average number f fingers, ne btains average mrphlgical field vlumes f apprximately 243 x 10 G /tm 3 and 106 x 10 6 /tm 3 respectively. Therefre, the increase in the number f fingers per tight aggregate resulting frm a decrease in temperature frm 20 t 16 C cannt be explained by an increase in aggregate vlume. Rather, the size f the mrphlgical field is sensitive t temperature and decreases with a decrease in temperature. In additin, it is clear that the size f the mrphlgical field is nt strictly dictated by the size f the aggregate. The effect f a temperature shift at the tight aggregate stage upn the number f mrphlgical fields per aggregate The sensitivity f field size t temperature can als be demnstrated by decreasing the temperature f a develping culture at the tight aggregate stage. When a culture which has develped t the tight aggregate stage at 20 C is shifted t 15 C r less, the average number f fingers per aggregate increases frm 1-3 t apprximately 3 (Fig. 3). When cultures which have frmed mre than ne finger per aggregate at temperatures belw 15 C are brught back t
6 50 M. PEACOCK AND D. R. SOLL 20 C, each finger gives rise t a single fruiting bdy. Therefre, the size f the mrphlgical field at the tight aggregate stage is nt rigidly determined and can still be decreased apprximately twfld by a decrease in temperature. Testing when field size is stabilized T test when field size stabilizes during mrphgenesis, develping cultures were shifted at varius times after the lse aggregate stage frm 20 t 5 C. In the particular experiment presented in Fig. 4, when the temperature was shifted between 10- and 12yh develpmental time, the average number f fingers per aggregate increased frm apprximately 1-25 t 30. Hwever, when shifted at 13 and 13^- h, at a time when cultures were still in the tight aggregate stage and exhibited virtually n fingers in the ppulatin (Fig. 4), the average number f fingers per aggregate remained unchanged at 1-3. When shifted after 13^ h, the average number f fingers per aggregate still remained unchanged at 1-3. Therefre, at a discrete pint midway in the interval between cmpletin f the tight aggregate and frmatin f the finger, an event is cmpleted which stabilizes the size f the mrphlgical field. DISCUSSION Raper (1940) demnstrated years ag that if a migrating slime mld pseudplasmdium is bissected int a frnt and rear prtin, each culd rerganize and frm a well prprtined fruiting bdy. Therefre, a single slime mld aggregate is nt restricted t a single field f rganizatin. In this reprt, we have demnstrated that decreasing develpmental temperature als causes an aggregate, which wuld nrmally have frmed ne fruiting bdy, t frm several fruiting bdies. Therefre, ne aggregate pssesses the ptential fr frming several fields f rganizatin and, cnversely, several fields f rganizatin can functin in a single aggregate. We have als presented evidence which indicated that the mechanism which dictates the size f the aggregate may be distinct frm the mechanism which dictates the size f the mrphlgical field. Aggregatin size appears t be insensitive t a change in temperature frm 20 t 16 C, but field size is sensitive, decreasing by mre than twfld. Hwever, it has been argued that bth the aggregatin prcess and field rganizatin rely upn the same signaling system, the release f camp (Durstn, 1974; Rubin & Rbertsn, 1975; Rubin, 1976). Therefre, it may be the respnse f cells t the signal rather than the signaling machinery which is different in the establishment f aggregatin and field size. Hhl & Raper (1964) presented evidence that the upper limit f mrphlgical field size is regulated by a critical mass value. By depsiting cell agglutinates which had frmed in suspensin n an agar surface, they fund that agglutinates f strain NC4(S2) with diameters less than 370 fim frmed ne pseudplasmdium and agglutinates with diameters greater frmed tw
7 Mrphlgical field size in slime mld mrphgenesis 51 pseudplasmdia. Therefre, it is quite likely that decreasing the temperature f mrphgenesis decreases the critical mass value apprximately tw- t threefld. By temperature shift experiments, we have als demnstrated that the size f the mrphlgical field is nt rigidly determined in a single aggregate until a pint apprximately ne hur prir t the frmatin f the finger mrphlgy. Therefre, a relatinship may exist between the frmatin f the tip f the finger and the stabilizatin f field size. Evidence has accumulated that the tip functins as an rganizer f the mrphlgical field in fruiting bdy cnstructin (Raper, 1940; Farnswrth, 1973; Rubin & Rbertsn, 1975). Since the stabilizatin event ccurs just prir t tip frmatin, the event may represent the cmpletin f prcesses invlved in tip frmatin. In this cntext, the temperature sensitivity f field size and therefre field number per aggregate indicates that the mechanism dictating size may als dictate the number f tips in a single aggregate. The relatinship between the mechanism dictating field size and the frmatin f the rganizing tip is nw under investigatin. This investigatin was supprted by grant PCM awarded by the Natinal Science Fundatin td.r.s. REFERENCES Ccucci, S. & SUSSMAN, M. (1970). RNA in cytplasmic and nuclear fractins f cellular slime mld amebae. /. Cell Bil. 45, DURSTON, A. J. (1976). Tip frmatin is regulated by an inhibitry gradient in the Dictystelium discideum slug. Nature, Lnd. 263, FARNSWORTH, P. (1973). Mrphgenesis in the cellular slime muld Dictystelium discideum; the frmatin and regulatin f aggregate tips and the specificatin f develpmental axes. /. Embryl. exp. Mrph. 29, HOHL, H. R. & RAPER, K. B. (1964). Cntrl f srcarp size in the cellular slime mld Dictystelium discideum. Devi Bil. 9, RAPER, K. (1940). Pseudplasmdium frmatin and rganizatin in Dictystelium discideum. J. Elisha Mitchel. Scient. Sc. 56, RUBIN, J. (1976). The signal frm fruiting bdy and cnus tips f Dictystelium discideum. J. Embryl. exp. Mrph. 36, RUBIN, J. & ROBERTSON, A. (1975). The tip f the Dictystelium discideum pseudplasmdium as an rganizer. /. Embryl. exp. Mrph. 33, SOLL, D. R. & WADDELL, D. (1975). The accumulatin and erasure f 'mrphgenetic infrmatin' in the cellular slime mld Dictystelium discideum. Devi Bil. 47, SOLL, D. R., YARGER, J. & MIRICK, M. (1976). Statinary phase and the cell cycle f Dictystelium discideum in liquid nutrient medium. /. Cell Sci. 20, SUSSMAN, M. (1966). Bichemical and genetic methds in the study f cellular slime mld develpment. In Methds in Cell Physilgy, vl. 2 (ed. D. M. Presctt), pp New Yrk: Academic Press. YARGER, J., STULTS, K. & SOLL, D. R. (1974). Observatins n the grwth f Dictystelium discideum in axenic medium: evidence fr an extracellular grwth inhibitr synthesized by statinary phase cells. /. Cell Sci. 14, {Received 21 June 1977, revised 11 August 1977)
Semester 2 AP Chemistry Unit 12
Cmmn In Effect and Buffers PwerPint The cmmn in effect The shift in equilibrium caused by the additin f a cmpund having an in in cmmn with the disslved substance The presence f the excess ins frm the disslved
More informationMOTIVE FORCE OF THE MIGRATING PSEUDOPLASMODIUM OF THE CELLULAR SLIME MOULD DICTYOSTELIUM DISCOJDEUM
J. Cell Sci. 41, 53-64 (1980) Printed in Great Britain Cmpany f Bilgist! Limited IQSO MOTIVE FORCE OF THE MIGRATING PSEUDOPLASMODIUM OF THE CELLULAR SLIME MOULD DICTYOSTELIUM DISCOJDEUM KEI INOUYE AND
More informationM thematics. National 5 Practice Paper E. Paper 1. Duration 1 hour. Total marks 40
N5 M thematics Natinal 5 Practice Paper E Paper 1 Duratin 1 hur Ttal marks 40 Yu may NOT use a calculatr Attempt all the questins. Use blue r black ink. Full credit will nly be given t slutins which cntain
More informationM thematics. National 5 Practice Paper D. Paper 1. Duration 1 hour. Total marks 40
N5 M thematics Natinal 5 Practice Paper D Paper 1 Duratin 1 hur Ttal marks 40 Yu may NOT use a calculatr Attempt all the questins. Use blue r black ink. Full credit will nly be given t slutins which cntain
More information/ / Chemistry. Chapter 1 Chemical Foundations
Name Chapter 1 Chemical Fundatins Advanced Chemistry / / Metric Cnversins All measurements in chemistry are made using the metric system. In using the metric system yu must be able t cnvert between ne
More informationAP CHEMISTRY CHAPTER 6 NOTES THERMOCHEMISTRY
AP CHEMISTRY CHAPTER 6 NOTES THERMOCHEMISTRY Energy- the capacity t d wrk r t prduce heat 1 st Law f Thermdynamics: Law f Cnservatin f Energy- energy can be cnverted frm ne frm t anther but it can be neither
More informationBootstrap Method > # Purpose: understand how bootstrap method works > obs=c(11.96, 5.03, 67.40, 16.07, 31.50, 7.73, 11.10, 22.38) > n=length(obs) >
Btstrap Methd > # Purpse: understand hw btstrap methd wrks > bs=c(11.96, 5.03, 67.40, 16.07, 31.50, 7.73, 11.10, 22.38) > n=length(bs) > mean(bs) [1] 21.64625 > # estimate f lambda > lambda = 1/mean(bs);
More informationALE 21. Gibbs Free Energy. At what temperature does the spontaneity of a reaction change?
Name Chem 163 Sectin: Team Number: ALE 21. Gibbs Free Energy (Reference: 20.3 Silberberg 5 th editin) At what temperature des the spntaneity f a reactin change? The Mdel: The Definitin f Free Energy S
More informationA New Evaluation Measure. J. Joiner and L. Werner. The problems of evaluation and the needed criteria of evaluation
III-l III. A New Evaluatin Measure J. Jiner and L. Werner Abstract The prblems f evaluatin and the needed criteria f evaluatin measures in the SMART system f infrmatin retrieval are reviewed and discussed.
More informationLesson Plan. Recode: They will do a graphic organizer to sequence the steps of scientific method.
Lessn Plan Reach: Ask the students if they ever ppped a bag f micrwave ppcrn and nticed hw many kernels were unppped at the bttm f the bag which made yu wnder if ther brands pp better than the ne yu are
More informationNUMBERS, MATHEMATICS AND EQUATIONS
AUSTRALIAN CURRICULUM PHYSICS GETTING STARTED WITH PHYSICS NUMBERS, MATHEMATICS AND EQUATIONS An integral part t the understanding f ur physical wrld is the use f mathematical mdels which can be used t
More informationBiology 479 Biology Portfolio Checklist Version F18 For Students Matriculating in AY
Bilgy 479 Bilgy Prtfli Checklist Versin F18 Fr Students Matriculating in AY 2018-19 Student s Name: Student s Ryal ID: Student s Academic Advisr: Intrductin While classrms prvide an essential site fr the
More informationWRITING THE REPORT. Organizing the report. Title Page. Table of Contents
WRITING THE REPORT Organizing the reprt Mst reprts shuld be rganized in the fllwing manner. Smetime there is a valid reasn t include extra chapters in within the bdy f the reprt. 1. Title page 2. Executive
More informationUnit 1: Introduction to Biology
Name: Unit 1: Intrductin t Bilgy Theme: Frm mlecules t rganisms Students will be able t: 1.1 Plan and cnduct an investigatin: Define the questin, develp a hypthesis, design an experiment and cllect infrmatin,
More informationTHERMAL-VACUUM VERSUS THERMAL- ATMOSPHERIC TESTS OF ELECTRONIC ASSEMBLIES
PREFERRED RELIABILITY PAGE 1 OF 5 PRACTICES PRACTICE NO. PT-TE-1409 THERMAL-VACUUM VERSUS THERMAL- ATMOSPHERIC Practice: Perfrm all thermal envirnmental tests n electrnic spaceflight hardware in a flight-like
More informationComprehensive Exam Guidelines Department of Chemical and Biomolecular Engineering, Ohio University
Cmprehensive Exam Guidelines Department f Chemical and Bimlecular Engineering, Ohi University Purpse In the Cmprehensive Exam, the student prepares an ral and a written research prpsal. The Cmprehensive
More informationMath Foundations 10 Work Plan
Math Fundatins 10 Wrk Plan Units / Tpics 10.1 Demnstrate understanding f factrs f whle numbers by: Prime factrs Greatest Cmmn Factrs (GCF) Least Cmmn Multiple (LCM) Principal square rt Cube rt Time Frame
More informationNAME TEMPERATURE AND HUMIDITY. I. Introduction
NAME TEMPERATURE AND HUMIDITY I. Intrductin Temperature is the single mst imprtant factr in determining atmspheric cnditins because it greatly influences: 1. The amunt f water vapr in the air 2. The pssibility
More informationCHM112 Lab Graphing with Excel Grading Rubric
Name CHM112 Lab Graphing with Excel Grading Rubric Criteria Pints pssible Pints earned Graphs crrectly pltted and adhere t all guidelines (including descriptive title, prperly frmatted axes, trendline
More informationWeathering. Title: Chemical and Mechanical Weathering. Grade Level: Subject/Content: Earth and Space Science
Weathering Title: Chemical and Mechanical Weathering Grade Level: 9-12 Subject/Cntent: Earth and Space Science Summary f Lessn: Students will test hw chemical and mechanical weathering can affect a rck
More informationLecture 13: Electrochemical Equilibria
3.012 Fundamentals f Materials Science Fall 2005 Lecture 13: 10.21.05 Electrchemical Equilibria Tday: LAST TIME...2 An example calculatin...3 THE ELECTROCHEMICAL POTENTIAL...4 Electrstatic energy cntributins
More informationHeat Management Methodology for Successful UV Processing on Heat Sensitive Substrates
Heat Management Methdlgy fr Successful UV Prcessing n Heat Sensitive Substrates Juliet Midlik Prime UV Systems Abstract: Nw in 2005, UV systems pssess heat management cntrls that fine tune the exthermic
More informationAP Statistics Notes Unit Two: The Normal Distributions
AP Statistics Ntes Unit Tw: The Nrmal Distributins Syllabus Objectives: 1.5 The student will summarize distributins f data measuring the psitin using quartiles, percentiles, and standardized scres (z-scres).
More informationAcids and Bases Lesson 3
Acids and Bases Lessn 3 The ph f a slutin is defined as the negative lgarithm, t the base ten, f the hydrnium in cncentratin. In a neutral slutin at 25 C, the hydrnium in and the hydrxide in cncentratins
More informationEdexcel IGCSE Chemistry. Topic 1: Principles of chemistry. Chemical formulae, equations and calculations. Notes.
Edexcel IGCSE Chemistry Tpic 1: Principles f chemistry Chemical frmulae, equatins and calculatins Ntes 1.25 write wrd equatins and balanced chemical equatins (including state symbls): fr reactins studied
More informationTemperature sensor / Dual Temp+Humidity
www.akcp.cm Temperature sensr / Dual Temp+Humidity Intrductin Temperature sensrs are imprtant where ptimum temperature cntrl is paramunt. If there is an air cnditining malfunctin r abnrmal weather cnditins,
More informationName AP CHEM / / Chapter 1 Chemical Foundations
Name AP CHEM / / Chapter 1 Chemical Fundatins Metric Cnversins All measurements in chemistry are made using the metric system. In using the metric system yu must be able t cnvert between ne value and anther.
More informationSession #22: Homework Solutions
Sessin #22: Hmewrk Slutins Prblem #1 (a) In the cntext f amrphus inrganic cmpunds, name tw netwrk frmers, tw netwrk mdifiers, and ne intermediate. (b) Sketch the variatin f mlar vlume with temperature
More informationMath 9 Year End Review Package. (b) = (a) Side length = 15.5 cm ( area ) (b) Perimeter = 4xside = 62 m
Math Year End Review Package Chapter Square Rts and Surface Area KEY. Methd #: cunt the number f squares alng the side ( units) Methd #: take the square rt f the area. (a) 4 = 0.7. = 0.. _Perfect square
More information5 th grade Common Core Standards
5 th grade Cmmn Cre Standards In Grade 5, instructinal time shuld fcus n three critical areas: (1) develping fluency with additin and subtractin f fractins, and develping understanding f the multiplicatin
More informationMath 0310 Final Exam Review Problems
Math 0310 Final Exam Review Prblems Slve the fllwing equatins. 1. 4dd + 2 = 6 2. 2 3 h 5 = 7 3. 2 + (18 xx) + 2(xx 1) = 4(xx + 2) 8 4. 1 4 yy 3 4 = 1 2 yy + 1 5. 5.74aa + 9.28 = 2.24aa 5.42 Slve the fllwing
More informationCells though to send feedback signals from the medulla back to the lamina o L: Lamina Monopolar cells
Classificatin Rules (and Exceptins) Name: Cell type fllwed by either a clumn ID (determined by the visual lcatin f the cell) r a numeric identifier t separate ut different examples f a given cell type
More informationLab 4: Passive Transport & Graphing Data
CWI Cncepts f Bilgy LAB Manual 42 Lab 4: Passive Transprt & Graphing Data The internal envirnment f all cells is a slutin. A slutin is a mixture f tw r mre substances that are evenly distributed thrughut.
More informationES201 - Examination 2 Winter Adams and Richards NAME BOX NUMBER
ES201 - Examinatin 2 Winter 2003-2004 Adams and Richards NAME BOX NUMBER Please Circle One : Richards (Perid 4) ES201-01 Adams (Perid 4) ES201-02 Adams (Perid 6) ES201-03 Prblem 1 ( 12 ) Prblem 2 ( 24
More informationExperiment #3. Graphing with Excel
Experiment #3. Graphing with Excel Study the "Graphing with Excel" instructins that have been prvided. Additinal help with learning t use Excel can be fund n several web sites, including http://www.ncsu.edu/labwrite/res/gt/gt-
More informationTemperature sensor / Dual Temp+Humidity
www.akcp.cm Temperature sensr / Dual Temp+Humidity Intrductin Temperature sensrs are imprtant where ptimum temperature cntrl is paramunt. If there is an air cnditining malfunctin r abnrmal weather cnditins,
More informationBiocomputers. [edit]scientific Background
Bicmputers Frm Wikipedia, the free encyclpedia Bicmputers use systems f bilgically derived mlecules, such as DNA and prteins, t perfrm cmputatinal calculatins invlving string, retrieving, and prcessing
More informationGROWTH PHASES IN THE LIFE OF A LICHEN THALLUS
New Phytl. (974) 73, 93-98. GROWTH PHSES N THE LFE OF LCHEN THLLUS BY R.. RMSTRONG The Btany Schl, Oxfrd University {Received 2 March 974) SUMMRY The grwth rates f thalli f flise saxiclus lichens befre
More informationMathematics and Computer Sciences Department. o Work Experience, General. o Open Entry/Exit. Distance (Hybrid Online) for online supported courses
SECTION A - Curse Infrmatin 1. Curse ID: 2. Curse Title: 3. Divisin: 4. Department: 5. Subject: 6. Shrt Curse Title: 7. Effective Term:: MATH 70S Integrated Intermediate Algebra Natural Sciences Divisin
More informationCHAPTER PRACTICE PROBLEMS CHEMISTRY
Chemical Kinetics Name: Batch: Date: Rate f reactin. 4NH 3 (g) + 5O (g) à 4NO (g) + 6 H O (g) If the rate f frmatin f NO is 3.6 0 3 ml L s, calculate (i) the rate f disappearance f NH 3 (ii) rate f frmatin
More informationStudy Group Report: Plate-fin Heat Exchangers: AEA Technology
Study Grup Reprt: Plate-fin Heat Exchangers: AEA Technlgy The prblem under study cncerned the apparent discrepancy between a series f experiments using a plate fin heat exchanger and the classical thery
More informationDetermining the Accuracy of Modal Parameter Estimation Methods
Determining the Accuracy f Mdal Parameter Estimatin Methds by Michael Lee Ph.D., P.E. & Mar Richardsn Ph.D. Structural Measurement Systems Milpitas, CA Abstract The mst cmmn type f mdal testing system
More informationCHAPTER 3 INEQUALITIES. Copyright -The Institute of Chartered Accountants of India
CHAPTER 3 INEQUALITIES Cpyright -The Institute f Chartered Accuntants f India INEQUALITIES LEARNING OBJECTIVES One f the widely used decisin making prblems, nwadays, is t decide n the ptimal mix f scarce
More informationMath Foundations 20 Work Plan
Math Fundatins 20 Wrk Plan Units / Tpics 20.8 Demnstrate understanding f systems f linear inequalities in tw variables. Time Frame December 1-3 weeks 6-10 Majr Learning Indicatrs Identify situatins relevant
More informationSection 5.8 Notes Page Exponential Growth and Decay Models; Newton s Law
Sectin 5.8 Ntes Page 1 5.8 Expnential Grwth and Decay Mdels; Newtn s Law There are many applicatins t expnential functins that we will fcus n in this sectin. First let s lk at the expnential mdel. Expnential
More informationChapter 11: Atmosphere
Chapter 11: Atmsphere Sectin 1: Atmspheric Basics Objectives 1. Describe the cmpsitin f the atmsphere. 2. Cmpare and cntrast the varius layers f the atmsphere. 3. Identify three methds f transferring energy
More informationPreparation work for A2 Mathematics [2017]
Preparatin wrk fr A2 Mathematics [2017] The wrk studied in Y12 after the return frm study leave is frm the Cre 3 mdule f the A2 Mathematics curse. This wrk will nly be reviewed during Year 13, it will
More informationThermodynamics and Equilibrium
Thermdynamics and Equilibrium Thermdynamics Thermdynamics is the study f the relatinship between heat and ther frms f energy in a chemical r physical prcess. We intrduced the thermdynamic prperty f enthalpy,
More informationProcess Engineering Thermodynamics E (4 sp) Exam
Prcess Engineering Thermdynamics 42434 E (4 sp) Exam 9-3-29 ll supprt material is allwed except fr telecmmunicatin devices. 4 questins give max. 3 pints = 7½ + 7½ + 7½ + 7½ pints Belw 6 questins are given,
More informationB. Definition of an exponential
Expnents and Lgarithms Chapter IV - Expnents and Lgarithms A. Intrductin Starting with additin and defining the ntatins fr subtractin, multiplicatin and divisin, we discvered negative numbers and fractins.
More informationRevision: August 19, E Main Suite D Pullman, WA (509) Voice and Fax
.7.4: Direct frequency dmain circuit analysis Revisin: August 9, 00 5 E Main Suite D Pullman, WA 9963 (509) 334 6306 ice and Fax Overview n chapter.7., we determined the steadystate respnse f electrical
More informationMatter Content from State Frameworks and Other State Documents
Atms and Mlecules Mlecules are made f smaller entities (atms) which are bnded tgether. Therefre mlecules are divisible. Miscnceptin: Element and atm are synnyms. Prper cnceptin: Elements are atms with
More informationLecture 17: Free Energy of Multi-phase Solutions at Equilibrium
Lecture 17: 11.07.05 Free Energy f Multi-phase Slutins at Equilibrium Tday: LAST TIME...2 FREE ENERGY DIAGRAMS OF MULTI-PHASE SOLUTIONS 1...3 The cmmn tangent cnstructin and the lever rule...3 Practical
More informationComputational modeling techniques
Cmputatinal mdeling techniques Lecture 4: Mdel checing fr ODE mdels In Petre Department f IT, Åb Aademi http://www.users.ab.fi/ipetre/cmpmd/ Cntent Stichimetric matrix Calculating the mass cnservatin relatins
More informationUniversity Chemistry Quiz /04/21 1. (10%) Consider the oxidation of ammonia:
University Chemistry Quiz 3 2015/04/21 1. (10%) Cnsider the xidatin f ammnia: 4NH 3 (g) + 3O 2 (g) 2N 2 (g) + 6H 2 O(l) (a) Calculate the ΔG fr the reactin. (b) If this reactin were used in a fuel cell,
More information(2) Even if such a value of k was possible, the neutrons multiply
CHANGE OF REACTOR Nuclear Thery - Curse 227 POWER WTH REACTVTY CHANGE n this lessn, we will cnsider hw neutrn density, neutrn flux and reactr pwer change when the multiplicatin factr, k, r the reactivity,
More informationMODULE FOUR. This module addresses functions. SC Academic Elementary Algebra Standards:
MODULE FOUR This mdule addresses functins SC Academic Standards: EA-3.1 Classify a relatinship as being either a functin r nt a functin when given data as a table, set f rdered pairs, r graph. EA-3.2 Use
More informationhttps://goo.gl/eaqvfo SUMMER REV: Half-Life DUE DATE: JULY 2 nd
NAME: DUE DATE: JULY 2 nd AP Chemistry SUMMER REV: Half-Life Why? Every radiistpe has a characteristic rate f decay measured by its half-life. Half-lives can be as shrt as a fractin f a secnd r as lng
More informationChapter 4. Unsteady State Conduction
Chapter 4 Unsteady State Cnductin Chapter 5 Steady State Cnductin Chee 318 1 4-1 Intrductin ransient Cnductin Many heat transfer prblems are time dependent Changes in perating cnditins in a system cause
More informationBIOLOGY 101. CHAPTER 17: Gene Expression: From Gene to Protein. The Flow of Genetic Information
BIOLOGY 101 CHAPTER 17: Gene Expressin: Frm Gene t Prtein Gene Expressin: Frm Gene t Prtein: CONCEPTS: 17.1 Genes specify prteins via transcriptin and translatin 17.2 Transcriptin is the DNA-directed synthesis
More informationDepartment: MATHEMATICS
Cde: MATH 022 Title: ALGEBRA SKILLS Institute: STEM Department: MATHEMATICS Curse Descriptin: This curse prvides students wh have cmpleted MATH 021 with the necessary skills and cncepts t cntinue the study
More informationx x
Mdeling the Dynamics f Life: Calculus and Prbability fr Life Scientists Frederick R. Adler cfrederick R. Adler, Department f Mathematics and Department f Bilgy, University f Utah, Salt Lake City, Utah
More informationTHE FLUXOID QUANTUM AND ELECTROGRAVITATIONAL DYNAMICS. Chapter 8. This work extends chapter 6 titled, "Field Mass Generation and Control", while
133 THE FLUXOID QUANTUM AND ELECTROGRAVITATIONAL DYNAMICS Chapter 8 This wrk extends chapter 6 titled, "Field Mass Generatin and Cntrl", while als develping a new cnceptual apprach t mass-field vehicle
More informationChemistry/ Biotechnology Reference Sheets
Cmmn Metric Prefixes: Giga (G) = 1,000,000,000 = Kil (k) = 1,000 = Deci (d) =.1 = Milli (m) =.001 = Nan (n) =.000000001 = 9 6 1 10 Mega (M) = 1,000,000 = 1 10 0 1 10 Basic unit = meter, gram, liter, secnd
More informationMATHEMATICS Higher Grade - Paper I
Higher Mathematics - Practice Eaminatin D Please nte the frmat f this practice eaminatin is different frm the current frmat. The paper timings are different and calculatrs can be used thrughut. MATHEMATICS
More informationWYSE Academic Challenge Regional Mathematics 2007 Solution Set
WYSE Academic Challenge Reginal Mathematics 007 Slutin Set 1. Crrect answer: C. ( ) ( ) 1 + y y = ( + ) + ( y y + 1 ) = + 1 1 ( ) ( 1 + y ) = s *1/ = 1. Crrect answer: A. The determinant is ( 1 ( 1) )
More informationChapter 17 Free Energy and Thermodynamics
Chemistry: A Mlecular Apprach, 1 st Ed. Nivald Tr Chapter 17 Free Energy and Thermdynamics Ry Kennedy Massachusetts Bay Cmmunity Cllege Wellesley Hills, MA 2008, Prentice Hall First Law f Thermdynamics
More information17 IMPACT PROPERTIES OF COMPOSITES
17 IMPACT PROPERTIES OF COMPOSITES 17-1 Impact resistance is the ability f a material t absrb and dissipate energies under impact r shck lading. The respnse t impact lads ranges frm lcalized damage t ttal
More informationChapters 29 and 35 Thermochemistry and Chemical Thermodynamics
Chapters 9 and 35 Thermchemistry and Chemical Thermdynamics 1 Cpyright (c) 011 by Michael A. Janusa, PhD. All rights reserved. Thermchemistry Thermchemistry is the study f the energy effects that accmpany
More informationCompetency Statements for Wm. E. Hay Mathematics for grades 7 through 12:
Cmpetency Statements fr Wm. E. Hay Mathematics fr grades 7 thrugh 12: Upn cmpletin f grade 12 a student will have develped a cmbinatin f sme/all f the fllwing cmpetencies depending upn the stream f math
More informationStatistics, Numerical Models and Ensembles
Statistics, Numerical Mdels and Ensembles Duglas Nychka, Reinhard Furrer,, Dan Cley Claudia Tebaldi, Linda Mearns, Jerry Meehl and Richard Smith (UNC). Spatial predictin and data assimilatin Precipitatin
More informationUnit 14 Thermochemistry Notes
Name KEY Perid CRHS Academic Chemistry Unit 14 Thermchemistry Ntes Quiz Date Exam Date Lab Dates Ntes, Hmewrk, Exam Reviews and Their KEYS lcated n CRHS Academic Chemistry Website: https://cincchem.pbwrks.cm
More informationName Student ID. A student uses a voltmeter to measure the electric potential difference across the three boxes.
Name Student ID II. [25 pt] Thi quetin cnit f tw unrelated part. Part 1. In the circuit belw, bulb 1-5 are identical, and the batterie are identical and ideal. Bxe,, and cntain unknwn arrangement f linear
More information^YawataR&D Laboratory, Nippon Steel Corporation, Tobata, Kitakyushu, Japan
Detectin f fatigue crack initiatin frm a ntch under a randm lad C. Makabe," S. Nishida^C. Urashima,' H. Kaneshir* "Department f Mechanical Systems Engineering, University f the Ryukyus, Nishihara, kinawa,
More informationSections 15.1 to 15.12, 16.1 and 16.2 of the textbook (Robbins-Miller) cover the materials required for this topic.
Tpic : AC Fundamentals, Sinusidal Wavefrm, and Phasrs Sectins 5. t 5., 6. and 6. f the textbk (Rbbins-Miller) cver the materials required fr this tpic.. Wavefrms in electrical systems are current r vltage
More informationSIMULATION OF GENETIC SYSTEMS BY AUTOMATIC DIGITAL COMPUTERS
SIMULATION OF GENETIC SYSTEMS BY AUTOMATIC DIGITAL COMPUTERS VI. EPISTASIS By A. S. FRASER* [Manuscript received December 3, 1959] Summary Simulatin, by Mnte Carl methds, f the effect n the gentype f seletin
More informationFeasibility Testing Report Muscle Optimization Stage I
Feasibility Testing Reprt Muscle Optimizatin Stage I Team: P15001: Active Ankle Ft Orthtic Engineer: Nah Schadt Mechanical Engineer Engineer: Tyler Leichtenberger Mechanical Engineer Test Date: 10/14/2014
More information1/2 and e0 e s ' 1+ imm w 4 M s 3 πρ0 r 3 m. n 0 ktr. .Also,since n 0 ktr 1,wehave. 4 3 M sπρ 0 r 3. ktr. 3 M sπρ 0
Chapter 6 6.1 Shw that fr a very weak slutin drplet (m 4 3 πr3 ρ 0 M s ), (6.8) can be written as e 0 ' 1+ a r b r 3 where a σ 0 /n 0 kt and b imm w / 4 3 M sπρ 0. What is yur interpretatin f thecnd and
More informationUse of Ammonium Chloride and Sodium Bicarbonate in Acute Heat Exposure of Broilers
Use f Ammnium Chlride and Sdium Bicarbnate in Acute eat Expsure f Brilers S. L. BRANTON, F. N. REECE, and J. W. DEATON USDA, ARS, Suth Central Pultry Research Labratry, Mississippi State, Mississippi 39762
More informationStage 6 PROMPT sheet. 2 > -2 We say 2 is bigger than -2-2 < 2 We say -2 is less than 2. 6/2 Negative numbers. l l l l l l l
Stage 6 PROMPT sheet 6/ Place value in numbers t 0millin The psitin f the digit gives its size Ten millins Millins Hundred thusands Ten thusands thusands hundreds tens units 4 5 6 7 8 Example The value
More informationo o IMPORTANT REMINDERS Reports will be graded largely on their ability to clearly communicate results and important conclusions.
BASD High Schl Frmal Lab Reprt GENERAL INFORMATION 12 pt Times New Rman fnt Duble-spaced, if required by yur teacher 1 inch margins n all sides (tp, bttm, left, and right) Always write in third persn (avid
More informationChapter 6 Fingerprints By the end of this chapter you will be able to:
Chapter 6 Fingerprints By the end f this chapter yu will be able t: Discuss the histry f fingerprinting Describe the characteristics f fingerprints and fingerprinting minutiae Explain when and hw fingerprints
More informationA Few Basic Facts About Isothermal Mass Transfer in a Binary Mixture
Few asic Facts but Isthermal Mass Transfer in a inary Miture David Keffer Department f Chemical Engineering University f Tennessee first begun: pril 22, 2004 last updated: January 13, 2006 dkeffer@utk.edu
More informationDepartment of Electrical Engineering, University of Waterloo. Introduction
Sectin 4: Sequential Circuits Majr Tpics Types f sequential circuits Flip-flps Analysis f clcked sequential circuits Mre and Mealy machines Design f clcked sequential circuits State transitin design methd
More informationIn the spaces provided, explain the meanings of the following terms. You may use an equation or diagram where appropriate.
CEM1405 2007-J-2 June 2007 In the spaces prvided, explain the meanings f the fllwing terms. Yu may use an equatin r diagram where apprpriate. 5 (a) hydrgen bnding An unusually strng diple-diple interactin
More informationM thematics. National 5 Practice Paper C. Paper 1. Duration 1 hour. Total marks 40
N5 M thematics Natinal 5 Practice Paper C Paper 1 Duratin 1 hur Ttal marks 40 Yu may NOT use a calculatr Attempt all the questins. Use blue r black ink. Full credit will nly be given t slutins which cntain
More informationAccelerated Chemistry POGIL: Half-life
Name: Date: Perid: Accelerated Chemistry POGIL: Half-life Why? Every radiistpe has a characteristic rate f decay measured by its half-life. Half-lives can be as shrt as a fractin f a secnd r as lng as
More informationPart One: Heat Changes and Thermochemistry. This aspect of Thermodynamics was dealt with in Chapter 6. (Review)
CHAPTER 18: THERMODYNAMICS AND EQUILIBRIUM Part One: Heat Changes and Thermchemistry This aspect f Thermdynamics was dealt with in Chapter 6. (Review) A. Statement f First Law. (Sectin 18.1) 1. U ttal
More informationSection 6-2: Simplex Method: Maximization with Problem Constraints of the Form ~
Sectin 6-2: Simplex Methd: Maximizatin with Prblem Cnstraints f the Frm ~ Nte: This methd was develped by Gerge B. Dantzig in 1947 while n assignment t the U.S. Department f the Air Frce. Definitin: Standard
More informationSubject description processes
Subject representatin 6.1.2. Subject descriptin prcesses Overview Fur majr prcesses r areas f practice fr representing subjects are classificatin, subject catalging, indexing, and abstracting. The prcesses
More information, which yields. where z1. and z2
The Gaussian r Nrmal PDF, Page 1 The Gaussian r Nrmal Prbability Density Functin Authr: Jhn M Cimbala, Penn State University Latest revisin: 11 September 13 The Gaussian r Nrmal Prbability Density Functin
More informationMEIOSIS & SEXUAL REPRODUCTION
MEIOSIS & SEXUAL REPRODUCTION 10.1 HALVING THE CHROMOSOME NUMBER Interphase Meisis: type f nuclear divisin that ccurs in sexually reprducing rganisms. Reduces chrmsme number frm diplid (2n) t haplid (n)
More informationY10 Foundation SOW Term 1
Y10 Fundatin SOW Term 1 Algebra Fcus Students shuld be cmpletely familiar with all the rules f algebra Plt straight line graphs f functins by setting up a table f x and y pints as crdinate pairs (by use
More informationMATHEMATICS SYLLABUS SECONDARY 5th YEAR
Eurpean Schls Office f the Secretary-General Pedaggical Develpment Unit Ref. : 011-01-D-8-en- Orig. : EN MATHEMATICS SYLLABUS SECONDARY 5th YEAR 6 perid/week curse APPROVED BY THE JOINT TEACHING COMMITTEE
More informationExam #1. A. Answer any 1 of the following 2 questions. CEE 371 March 10, Please grade the following questions: 1 or 2
CEE 371 March 10, 2009 Exam #1 Clsed Bk, ne sheet f ntes allwed Please answer ne questin frm the first tw, ne frm the secnd tw and ne frm the last three. The ttal ptential number f pints is 100. Shw all
More informationOptical property of Few-Mode Fiber with Non-uniform Refractive Index for Cylindrical Vector Beam Generation
Optical prperty f Few-Mde Fiber with Nn-unifrm Refractive Index fr ylindrical Vectr Beam Generatin Hngye Li a, Hngdan Wan* a, Zuxing Zhang* a, b, Bing Sun a, Lin Zhang a, b a Nanjing University f Psts
More informationHow do scientists measure trees? What is DBH?
Hw d scientists measure trees? What is DBH? Purpse Students develp an understanding f tree size and hw scientists measure trees. Students bserve and measure tree ckies and explre the relatinship between
More informationMaterials Engineering 272-C Fall 2001, Lecture 7 & 8 Fundamentals of Diffusion
Materials Engineering 272-C Fall 2001, Lecture 7 & 8 Fundamentals f Diffusin Diffusin: Transprt in a slid, liquid, r gas driven by a cncentratin gradient (r, in the case f mass transprt, a chemical ptential
More informationIntroductory Thoughts
Flw Similarity By using the Buckingham pi therem, we have reduced the number f independent variables frm five t tw If we wish t run a series f wind-tunnel tests fr a given bdy at a given angle f attack,
More informationChemistry 114 First Hour Exam
Chemistry 114 First Hur Exam Please shw all wrk fr partial credit Name: (4 pints) 1. (12 pints) Espress is made by frcing very ht water under high pressure thrugh finely grund, cmpacted cffee. (Wikipedia)
More information