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1.       A  total 0 LM  E uc 0 uM  Kun uM   1 MT  1 A    For this model you need to input the total concentration of A  or MT   the dissociation  constants for the seam  Ks  lattice  K   and the binding ratio  All inputs must be positive  numbers     2 2 3  MAPs Dimerize    In this model  A can exist either as a monomer or as a dimer  and both the monomer and  dimer forms can bind to MT     11    Chapter 2  Running MTBindingSim    MAPS dimerize       A  MT   AMT  A    MT   AMT  A  AoA   Kaye    AIIMTVIAMT  K  ay    AJIMTI TAMT     K AAT  A  A    A       A  total 0 uM  uar uM  Kaam 0 uM  m 0 uM   1 MT  1 A    For this model  you need to input the total amount of A  or MT   the dissociation con   stant for monomeric A binding MT  K   the dissociation constant for dimeric A binding  MT  Ko  the dissociation constant for the A dimer  KA  and the binding ratio  All inputs  must be positive numbers     2 2 4  Pseudocooperativity    This model simulates a situation where the binding of an A to an MT site changes the  conformation of another MT site  creating an MI    site which has a different affinity for  A than the MT sites     Pseudocooperativity T  A  MT   AMT  A  MT    AMT   Kur   LAIIMT  LAMT   Kar    ATMT T TAMT      MT           AMT     AMT       A  total 0 LM  m 0 uM  Kur   o  lMT  1 A    For this model  you need to input the total amount of A  or MT   the dissociation  constant for A binding to MT  KAwr  the dissociation constant for A binding to MI    KAMr    and the bindin
2.     amp   e       dingSim    Version 0 14    Julia Philip   Charles Pence   Holly Goodson     MTBindingSim is a program to plot binding curves under various conditions  partic   ularly those encountered in microtubule binding or other polymer binding situations    MTBindingSim is licensed under the GNU General Public License  and its documen   tation is licensed under the Creative Commons CC BY SA 3 0 License     University of Notre Dame  Department of Chemistry and Biochemistry   University of Notre Dame  Program in History and Philosophy of Science       1 Getting Started  1 1    Running MTBindingSim for the First Time                 0      2 Running MTBindingSim    Zl Plotting Options sa es sss RE 4448545658 4440 08 E SR S S  Ziel  Pxpenmental MeNnod 24 aes ee xk REG Y eie x ees ee ee  24 Piloting Modes s xx these ee hak ba S fee qs uU aS rS  2 Ae weg RO RR S ORUMUROA Rho ee ee ee ee R  214 Na mber or Poms  5 5 oon 8   9e mo EP ES ta ae 4   MEA Modil P  C   221 GurSPCROePrDIWEDHEE   s otto tee ox so  4 tekita ROS Qo OE S  2 2 2 Seam and Latice Binding  s esos i s eee eh US wes SB RR S TE  Zee MAF DIME sc kas bes Gh ee RES ee ED eee  224 Pseudocooperativity     cee xk RR E 369 RR EROR ROCK eas  22 50    MAPS Bind MT bound NEAPS  424684255 4646625454 UR S  22 6 Two MAPs Bind MT bound MAPs                      227 ADDERE NES    44445 9 ov ders oa Se WR wu ROS     928 eS  3 How To  Sd Editing and Saving Graphs  s s ssw ceros eae ee oe Ts eiras  i OOS P aa ose a  wla EU C as a
3.    First order   A  total   4  Kaw   2 N71   First order   A  total   6  K AMT   2 N21                                                          a  EC       a   ga   a        ao  EC  a   er  ua   iu   pam   LL       If you d like to start over with a new graph  click the clear button  This will delete the  current graph  and subsequent curves will be plotted on a new plot     For more detailed information about what you can do with MTBindingSim  see the  Running MTBindingSim and How To    chapters  If you have any trouble  see the  Troubleshooting section    Good luck  and happy graphing     2  RUNNING MTBINDINGSIM       To plot a graph using MTBindingSim  select the plotting options and binding model you  would like to use  enter the parameters you want  and click the graph button  This section  explains what plotting options and binding models are available     2 1  Plotting Options    There are serveral sets of plotting options that can be selected  These options will apply  to all graphed curves     2 1 1  Experimental Method    There are three available experimental methods  Curves from different experimental  methods cannot be plotted on the same graph  so changing the experimental method  will automatically close an active graph  In all methods A is an MT binding protein   The concentration of MT is taken as the concentration of polymerized tubulin dimers   as is common in MT literature  MT binding experiments are generally performed with  MT stabilizers so that the con
4.   Your graph looking wrong could have several causes  First  make sure that the x  and  y axis ranges are appropriate for your graph    If you are confident that you are looking at the graph with appropriate axes and  it still looks wrong or strange  it is possible that the program has calculated your graph  incorrectly  While we have made every attempt to ensure that MTBindingSim will always  calculate the correct graph  it is possible that we missed something  Please submit a bug  report on our website and we will attempt to fix the problem  To help us diagnose the  issue you are having  it would be very helpful if you can run the graph several times   tweaking the parameters  to determine what parameter or combination of parameters is  causing the problem  Thank you for helping us keep MTBindingSim working properly     5 3  Saving Your Results    5 3 1  I can   t save XLS files    MATLAB saves XLS format spreadsheets by communicating with Microsoft Excel in a  manner which only works on Windows  If you wish to save a spreadsheet on Mac OS X  or Linux  you can save in CSV format instead  CSV files can be opened by any version of  Microsoft Excel or your favorite spreadsheet program    For more information about the limitations of MATLAB   s communication with Mi   crosoft Excel  see MathWorks Solution 1 2SJUON     5 4  Other    5 4 1  I need help  can I contact the developers     Or    5 4 2  I think I ve found a bug  how do I report it     Or    5 4 3  I have an idea for a
5.  Al  5  total Kar  AllLltota  total        1 1 I  1  GIA  1 g  4     This equation is numerically solved for free A and the result is used to calculate  bound A and free and total MT                    4 4  MAPs Dimerize    In this model  A can form a dimer with itself  and can bind to the MT in both the  monomeric and dimeric forms with different disocciation constants     21    Chapter 4  Binding Model Mathematics       The binding interaction for this model is   A   AsA2 A MTSAMT  A     2MT    A5MTD     The disocciation constants for these interactions are   Kaa    A  A   Aa   Kaur    AJ MT   AMT   Kaamr   AMT   We can write mass balances for A and MT    A  total    A    2 42     AMT    AAR    A    x  AP d c AMI  Kur  A2   MT      A    E  AP   xL    A  MT    xz  AP  MT    MT iig    MT      AMT  n p 2 A  MT5   n     MT    xi  AIIMT    x  A2   MT       M                1 2  T    Karn  A  MT    Kaur jan Al  MT      MT   1   kaara Al   KzamrKaan Al    We can now solve the MT mass balance for free MT to get   MT    MT   total        aT KAMT 2 bove AT   We can plug this into the mass balance for A   u e wm 1 2 2  MT total   Alota   LA    rig lAl   Em  A    KaurKaa     Lo gai aa a    This equation is numerically solved by the program for free A and the result is used  to calculate bound A and free and bound MT     4 5  Pseudocooperativity    Cooperative binding of MAPs cannot be modeled using the standard model of coopera   tive ligand binding  To model cooperative behavior we ha
6.  MT SAMT   A  MT      AMT      The dissociation constants for this model are    Kamm    AJ MTi    AMT   KAur2    AJ MTo    AMT     The mass balances for this model are     Alota    A     AMT     AMT     A    LAJ MTi  K Aum   LAJ MT2   KAurra    IMT  Jtotal    MT     AMT     MT     A  MT  Kamri    MT   Q    A  Kamr1     IMT     iai   MT     AMT     MT     A  MTo  Kamr2    MT   1   A  Kamrz     The MT  and MT5mass balances can be solved for free MT  and MT          MT    otal   pou FAV Rane   DM ATI   These equations can be substituted into the mass balance for A to get   a2  A   MT   total  A   MT gt   totai    Aliota    A    Kamm  1 14  Kamri     Kamro  1Al Kamra     This equation is numerically solved by the program to get free A  which is then used  to calculate bound A and the fraction of A bound  Free MT is not calculated because this  model cannot be graphed against free MT     25    5  TROUBLESHOOTING       5 1  Downloading and Installation    5 1 1  There are password protected files in your ZIP file    or    5 1 2  I can t open your ZIP file    If you are running Windows  there is a bug in the built in Windows ZIP file extractor that  occasionally causes trouble with our releases  Try downloading and installing the free  and open source 7 Zip ZIP extractor  and extracting MTBindingSim using it instead  If  you are not running Windows  or if you have trouble even when using 7 Zip  please file  a support ticket  see our specific information about Filing a Support Ticket
7.  a monomer or as a dimer with different affinities    e Inputs now default to zero when the experimental mode or model are changed   The ratio parameter defaults to one    e Various bug fixes     A 12  Version 0 5    e Supports the following binding models       First order binding of microtubule binding protein to microtubules        Classical    cooperativity       A model where a protein binds the microtubule at the seam and the lattice  with different affinities     A model where a microtubule binding protein can bind either the micro   tubule or a microtubule bound protein  allowing two total layers of micro   tubule bound proteins      A model where a microtubule binding protein can bind either the microtubule  or a microtubule bound protein  allowing up to three layers of microtubule  binding proteins on the microtubule     e Three different modes of collecting binding data       Holding the protein of interest constant and varying the microtubule concen   tration     Holding the microtubule concentration constant and varying the concentration  of the protein of interest     An experiment with two different microtubule binding proteins  where one  microtubule binding protein and microtubule concentration are held constant  and the concentration of the other microtubule binding protein is varied  In  this mode  both microtubule binding proteins are assumed to follow first order  binding     32    
8.  below      5 1 3  MTBindingSim doesn t run    On a Mac  make sure you have downloaded and installed the MATLAB Compiler Run   time  MCR   available at the MTBindingSim home page    On Windows  the installer should download and install the MATLAB Compiler Run   time  MCR  if you don   t already have it  If you get an error that the MCR cannot be  found  you probably have an old version of the MCR  which prevents the installer from  installing the new version  Uninstall the old version if you don   t need it for any other  programs and then manually download and install the updated version from the MT   BindingSim home page    If you have successfully installed all the prerequisites and still cannot get MTBind   ingSim to run  try Filing a Support Ticket below     5 2  Graphing    5 2 1  My graph doesn   t show up    If you graph multiple simulations on the same graph  the axes will be set to show the full  range of all curves  If you have curves with very different values  you may not be able to  see all of the curves on the same graph  Try closing the graph and making a new graph   paying attention to the range of the X  and Y axis    Also  if you graph two very nearly identical graphs at the same time  the line for the  last one to be graphed may lie precisely on top of the line for the first to be graphed   making the first line invisible  Try graphing your curves one at a time  and comparing  the graphs     26    Chapter 5  Troubleshooting    5 2 2  My graph looks wrong  
9.  great new feature     Head to the next section and learn about Filing a Support Ticket     5 5  Filing a Support Ticket    MTBindingSim is hosted on Google Code  and we use its    Issues    system for keeping  track of support requests  For your best chance at support  please file a ticket there  rather  than e mailing one of the developers    When should you file a support ticket  In general  if you have a question that you  just can t get answered in the documentation  if you have a bug to report  or if you have  an idea for a new feature  you should send us a message     27    Chapter 5  Troubleshooting    Rather than including it in the documentation  we keep up to date information about  how to file a support ticket on the MTBindingSim website  Please visit there for the latest  information about how to get MTBindingSim support     28       If you would like to get in touch with the developers by e mail  you may do so at the  following addresses     e Julia Philip  e Charles Pence    Note that if you are looking for support  to file a bug report  or to request an issue     we would much prefer if you filed an issue in our support system on Google Code  See  our page about creating support tickets     29    7  ACKNOWLEDGEMENTS       Many people have contributed to the process of writing MTBindingSim and we would  like to thank them    The lead developers are Julia Philip and Charles Pence  Julia was supported by  the Notre Dame Chemistry  Biochemistry  and Biology Interf
10.  is defined as   K      A   MT   AMT  AMT       We can also write mass balances for total A and total MT    A total    A     AMT     A    74     A  MT     KAMT   MT total    MT     AMT  n    MT    eL lAI MT     MT  1  goal    We can rearrange the equation for total MT and solve for  MT  free      MT total   MN   Tega  We now can substitute this equation into the equation for total A    A     A  n Ki  AIMT tota   total OMA AI    The program numerically finds the value of  A  free that solves this equation  then   uses that to calculate all other necessary parameters                 4 3  Seam and Lattice Binding    In the seam and lattice binding model  it is assumed that there are two different kinds  of binding sites on the MT  seam sites and lattice sites  which have different dissociation  constants  The seam sites are 1 13 of the total MT and the lattice sites are 12 13 of the  total MT     20    Chapter 4  Binding Model Mathematics       The binding relationship is   A   S amp AS  A   LAL   The disocciation constants for these interactions are   Kas    A  S    AS   Kar    A  L   AL    We can write a mass balance for all three species    Alota    A     AS     AL     A    g   AJIS    g   ATIL    Slota    S     AS  n    S    xL  AIIS     S  1   xEZ A     Elota    L     AL  n    L    g    A  L     L  1   GIA    We now can solve for free L and free S    S  S tota  MT  A        total   L      lke aA    We now can plug these values into the equation for total A      A  u A  n Ky
11.  polymer ligand interactions in which one binding event  influences other binding events    MAPs bind MT bound MAPs  A binds to MT and then another A can bind to each  MI bound A  This model is valid for any protein protein or protein ligand interaction in  which one binding event reveals another binding surface    Two MAPs bind MT bound MAPs  A binds to MT and then two As can bind to each  MI bound A  This model is valid for any protein protein or protein ligand interaction in  which one binding event reveals another binding site  This is an extension of the MAPs  bind MT bound MAPs model    Two binding sites  A can bind to two sites on each MT  This model is valid for any  protein protein or protein ligand interaction with two independent binding sites     2 2 1  First Order Binding    First order binding simulates binding under standard first order conditions where one A  interacts with one MT dimer  and all A MT interactions are identical     10    Chapter 2  Running MTBindingSim    First order binding mal  A   MT   AMT    K sage    AIIMTI TAMT      A  total 0 LM  1 MT  1 A    For first order binding  you need to input the total concentration of A  or MT   the  Kp  and the binding ratio  All of these must be positive numbers   2 2 2  Seam and Lattice Binding    Seam and lattice binding simulates a scenario in which protein A binds to the MT seam  dimers with a different affinity than the MT lattice dimers     MT seam and lattice binding ni    Ka    AIILI TAL   K     ASIAS
12.  wu RR X uS narea R  3 2 Saving a Graph as a Spreadsheet   64244544655 4646645 RR As  Ds Comparnne IWO CUNVES 24484 3x AL padd eri mug aata IECUR RS  4 Binding Model Mathematics  4 1 Polymer Nature of MT   s uuo eo eee RAH SERRA GHEY RE ROS  LLLI Goncenianon Or zone Geo bh ee S x 9 Eoo p es  412 Dmdie Ralo x93 RE REPE Sp m eh opos de ud  22 TE TOT ee Bi   uu mos 9 33 908 8 desig oe wee ees MUR SR RA  43 iem ane LAO RGN 20 saa ados WS ee ae RUE E  POR RS do x  DH 182i o PP   49 Pscudocooperalivily x   3 422        L443   24Belqc hee TES  4 6 MAPSs Bind MT bound MAPS 25664  6Aes  6s oe eee   UR ES EROR DE  47 Two MAPs Bind MI bound MAPS   52 252 99 x om om komme  45 Iwo Binding SIES  ss rese bos momo don atorra nEn Bae oS    VO O CO CO       10  10  10  11  11  12  12  13  14    15  15  15  15  16  16    Contents    5 Troubleshooting    5 1 Downloading and Installation       ed am momo m hes ox RO SER bina da  5 1 1 There are password protected files in your ZIP file             oL JL  eanmbopen yOUr AIP Ie uou swwek 943   9 9 9954 93  SLs MIBindinp oim doesn TIUN   a ak he doe ee 6 wes Gee RESTE  DE ON usta ese ons Sees PUER REUS oe eee eee ER RES ES  o2  My graph doesn   t show up iuo wx eee me RR eae da 9s d  Doo JUD graph looks wWIONG 2x39 mx 3 9 E wes E v ee Be s  2o DIVNE Your Resull      6 343    423 2744   9 9 43  Dod Jes peave AUS CS s su ae rais icu ie e Re eae hee CR  DO  EO UP   5 4 1 Ineed help  can I contact the developers                sn   5 4 2  IthinkI ve fou
13. ace Program  NIH Training  Grant T32GM075762 and NSF grant 0951264    We would like to thank Dr  Holly Goodson for support and guidance  and Eric Bunker  for assistance with writing the documentation and troubleshooting the program     30    A  MT BINDINGSIM REVISION HISTORY       A 1  Version 0 14    e Fix a bug in the CSV file exporter   s column headings   e Add some more detail to the discussion of the binding model mathematics in the  documentation     A 2  Version 0 13    e Add an info button which opens a box with information about the currently se   lected binding model     A 3  Version 0 12    e Fixes to the MTBindingSim installation system     A 4  Version 0 11    e Added a new pseudo cooperativity model   e Added a new two sites binding model     A 5  Version 0 10    e Removed the cooperativity binding model   e Added ability to save Scatchard plots     A 6  Version 0 9    e Changed calculation method for the binding ratio   e New way to save graphs and data     A 7  Version 0 8 1    e Fixed an urgent calculation bug     A 8  Version 0 8    e Changed terminology for the various dissociation constants   e Various bug fixes  including a calculation error     31    Appendix A  MTBindingSim Revision History    A 9  Version 0 7    e Complete documentation is now available for MTBindingSim   e Various bug fixes     A 10  Version 0 6 1    e Various bug fixes     A 11  Version 0 6    e Added anew model where a microtubule binding protein can bind to microtubules  either as
14. binding ratio  n  as an  additional parameter that can be used in fitting binding data to accommodate non 1 1  binding ratios    We have included the binding ratio n as a parameter that can be set in our binding  curve calculations  Following Ackmann et  al   we have defined n such that that binding  ratio is n A  1 tubulin dimer  However  we have differed from Ackmann et  al  in  how we include the binding ratio in our binding equations  While they change the  number of available binding sites based on the binding ratio  we do not change the  number of available sites  We account for the binding ratio only in the mass balance for  microtubules  This formulation assumes that the number of available binding sites is the  number of free dimers  regardless of how many dimers an individual A binds    This method will break down in an extreme boundary case where a single A binds  so many tubulin dimers that a single MT polymer does not contain enough sites  In  such a case  A would need to encounter two or more individual MT polymers  changing    19    Chapter 4  Binding Model Mathematics    the binding model  However  such an extreme case is extraordinarily rare and would  most likely occur if two different polymers were interacting with each other directly   MTBindingSim does not deal with such cases     4 2  First Order Binding    This model is simple first order binding        In first order binding  the relationship between A and MT is   A MTSAMT     The dissociation constant
15. centration of polymerized tubulin can be taken as the total  concentration of tubulin present     Experimental Method                       Vary  MT       Vary  A        Competition       Vary  MT   In this method  the concentration of A is held constant and the concen   tration of MT is varied  The fraction of A bound is graphed on the y axis  This is a     standard    binding experiment and simulates data from many standard experimental  methods of measuring binding data  including SPR  fluorescence anisotropy  and trypto   phan fluorescence  as well as cosedimentation assays    Vary  A   In this method  the concentration of MT is held constant and the concen   tration of A is varied  The concentration of A bound is graphed on the y axis  This  kind of data cannot be collected using many standard binding assays such as SPR and  fluorescence anisotropy  but it can be collected using a cosedimentation assay    Competition  In this method  there are two MT binding proteins  A and B  The con   centration of A and the concentration of MT are held constant while the concentration of  B is varied  The fraction of A bound is plotted on the y axis  This kind of data can be  collected with many standard methods of measuring binding data  such as SPR  fluores   cence anisotropy  tryptophan fluorescence  and cosedimentation assays     Chapter 2  Running MTBindingSim    2 1 2  Plotting Mode    MTBindingSim can plot one curve at a time or it can plot two curves simultaneously and  compar
16. e them  You may plot as many curves as you wish as long as you don   t change  the experimental method or X axis settings  However  only two curves may be directly  compared by the program     Plotting Mode  Q Plot a single curve    Compare two curves       For more information about comparing two curves see the How To section     2 1 3  X axis    In Vary  MT  mode  the X axis can be set to either  MT  total or  MT  free   X axis  9   MT  free       MT  total        MT  total is a known quantity in the experiment  while  MT  free must be calculated   However  the familiar Langmuir Isotherm equation uses  MT  free as its independent  variable  and the quick method of determining K p by looking at the MT concentration  when the fraction of A bound is 0 5 only works if the x axis is  MT  free  In either X axis  mode the Y axis will be the fraction of A bound    In Vary  A  mode there are three possible kinds of plots  In the first two the Y axis  is the concentration of A bound to MT  and the X axis can be set to  A  free or  A   total  In addition  the data can be plotted in a Scatchard plot  where the X axis is  A   bound and the Y axis is is  A  bound  A  free  This kind of plot is used to make the  binding data linear  Binding data will be linear for simple interactions and a curved line  in a Scatchard plot indicates the presence of cooperativity or other kinds of non simple  binding interactions     X axis      A  free     J  A  total     J Scatchard Plot       Changing th
17. e x axis mode will automatically close the active graph     Chapter 2  Running MTBindingSim    2 1 4  Number of Points    The number of points plotted may be specified     Number af points       The default number of points is 100  A larger number of points can be used if a  smoother curve is desired  A smaller number of points will result in a faster calculation     2 2  Binding Models    MTBindingSim can plot curves for several binding models  For a detailed description of  the math used to generate the curves  please see the Binding Model Mathematics chapter   Note that all models use the dissociation constant  Kp    The info button to the right of the model selection box provides a brief description of  each model  reproduced below     First order binding ba         First order binding  Simple A binds MT interaction  This model is valid for any  simple protein protein or potein ligand interaction    Seam and lattice binding  A binds to the MT seam  1 13 of the MT  with a different  affinity from the MT lattice  12 13 of the MT   This model is valid only for binding of  proteins or ligands to 13 protofilament MTs with a seam    MAPs dimerize  A can bind to MT either as a monomer or as a dimer  This model is  valid for any polymer protein or polymer ligand interaction    Pseudocooperativity  For every MT site that binds an A  another MT site is converted  to an MT  site  which binds to A with a different dissociation constant  This model is  applicable to polymer protein or
18. ew Insert Tools Desktop Window Help  HeWese s  Aavgedc  a ao  Vary  MT  Binding Assay  First order   A  total   10  Kyr   5  N  1  Seam binding   A  total   10  K   1  K     100  N 1    ou  C  3  m  u  c  c    Fract    8 10 12   MT  total       If the X axis is plotting total  MT  or total  A   or in competition mode he program  also will calculate the difference between the two curves and display the result   Average absolute difference  0 31302  Average percent difference  109 465     Maximum absolute difference is 0 45691 at 20  MT  total  Maxmum percent difference is 124 827 395 at 0 2  MT  total    These values are calculated by computing the absolute and percentage difference  between the curves at each point  and both the average and largest difference are reported  for each  This feature is designed to help researchers determine whether the predicted  differences between two curves are detectable given their expected experimental error    This comparison is only done for curves plotted with the X axis as  MT  total or  A   total because the x values for both curves are the same in that case  so the comparison  calculations are unambiguous  When the X axis is  MT  free or  A  free the x values  for the curves will be different and the calculation of a comparison between the curves  requires making assumptions about the binding behavior     18    4  BINDING MODEL MATHEMATICS       This chapter describes the equations used to simulate the binding curves  Though some  of 
19. for this model are    Kamr    A  MT   AMT   Kaa    A  AMT   A2MT   Kaa    A  A2MT   A3MT     Note that the disocciation constant for the first and second MAP binding to the MT   bound MAP is the same  The mass balances for this model are     Alota    A     AMT    2 A2 MT    3 A3 MT       A    e  A MT    g  A  AMT     4   42M        A    eH LAJIMT    x AP IMT    g   AP  AMT           KAMT       A    xL    AI MT    grz  AP MT    Kus  Al  MT      IMT ioiai    MT      AMT   n     A2 MT   n    A3MT  n     MT    xL  A IMT    gal A MT       3  7     AP MT      T KamtTKaan AMTK  an     MT  1  x4  A        pA    1     KAMTKAAn KamrK an    24    Chapter 4  Binding Model Mathematics    Notice that  as with the MAPs bind MT bound MAPs model  all MT A complexes  contain a single MT unit  The MT mass balance can be solved for free MT    MT       MT   total    Lagi AF arias Alt eg AD  This can then be substituted into the A mass balance equation  yielding    Ahoa    A     eiii   KaurKaa AP   ante lal     KamrK4 A   M T  total       PS z          d Au We JA  1  RAMT  Alt KAMTSAA   a KAMTK a  Al  This equation is numerically solved by the program to get free A  This is then used to    calculate bound A and free and bound MT     4 8  Two Binding Sites    This model assumes that each tubulin dimer contains two binding sites for protein A   sites 1 and 2  with different dissociation constants  It is assumed that the two sites do not  interact    The binding relationships for this model are    A 
20. free at each point     4 6  MAPs Bind MT bound MAPs    In this model  A binds MT with a disocciation constant of KAwyr  then  another A can  bind the bound A with a disocciation constant of K AA     Okkan       The binding relationships are    A  MTSAMT A AMTSA MT    The dissociation constants for these interactions are   Kamr    A  MT    AMT   Kaa    A  AMT   A2MT    We can write the mass balances for this situation     23    Chapter 4  Binding Model Mathematics        A  total    A     AMT    2 A2MT     A    x   AIMT    giz  A  AMT      A    xz AIIMT    a 4l  MT           KAMT   MT total   ael 1 AMT t MPH    MT    xi  A IMT    c  r7 AP  MT      MTJ    KAMT     A    KamrKaan  A      We can solve the MT mass balance for free MT as follows    MT       _____ MT rota __  Lt Rare Al KayrKaan Al    We can then substitute this equation into the A mass balance to get    A  total    A      1 Al  291  AP  a    Kur KamrKaa Rann HA i as  AP  This equation is numerically solved by the program to find the value of free A  which  is used to calculate bound A and free and bound MT        4 7  Two MAPs Bind MT bound MAPs    This model is very similar to the MAPs bind MT bound MAPs model  except in this case  two layers of bound MAP are possible on top of an MT bound MAP     K AA O KAMT    LT N pu   m  amp        e  a a         a  as    4q  g    way        oe  e  a        Ra AA    The binding relationships for this model are    A  MTSAMT A  AMTSA2MT A  AaMTSA3MT    The disocciation constants 
21. g ratio  All inputs must be positive numbers     2 2 5  MAPs Bind MT bound MAPs    In this model  once one A has bound to an MT dimer  another A can bind to it without  taking up another MT binding site     12    Chapter 2  Running MTBindingSim    MAPs bind MT bound MAPS zl  A   MT   AMT  A  AMT   AMT    Kae    AIIMT   AMT   K      A AMT   A MT      A  total 0 uM  uar 0 uM  E 0 pM   1 MT  1 A    For this model  you need to input the total concentration of A  or MT   the dissociation  constant for A binding to MT  Ky  the dissociation constant for A binding to MT bound  A  Ka  and the binding ratio  All inputs must be positive numbers     2 2 6  Two MAPs Bind MT bound MAPs    In this model  once one A has bound to the MT  two more As can bind to it without  taking up additional MT binding sites        MAPS bind MT bound MAPS nal  A  MT   AMT  A  AMT   AMT  A  AMT   A MT  Kur   LEMIMT   AMT   K      AJ AMT   A  MT    K     A TA MT   A MT      A  total 0 uM   E 0 uM   Kas 0 uM  l1MT  1 A    For this model  you need to input the total concentration of A  or MT   the dissociation  constant for A binding to MT  Ky  the dissociation constant for A binding to MT bound  A  Ka  and the binding ratio  All inputs must be positive numbers    This model can be used in concert with the MAPs bind MT bound MAPs model  described above to begin to understand the behavior of MAPs that use the MT as a  nucleation site for MAP polymerization  It is impractical to model a case where the  MAP can fo
22. n MTBindingSim  Saving as an Excel file   xls  will generate an Excel file  containing the x and y values for all curves on the graph  Saving as a comma separated  value file   csv  will create a CSV table with the x and y values for all curves on the graph    If you are running MTBindingSim in Mac OS X or Linux  you cannot save your files  as  xls  You can save them as  csv files and then open them in Excel  Please see Trou   bleshooting for more information     3 3  Comparing Two Curves    To compare two curves in MTBindingSim  first select  compare two curves  from the  plotting mode box     Plotting Made    Plot a single curve       Compare two curves       This will cause a second model selection drop down box and set of model parameter  input boxes to appear    Enter the parameters for the curves you wish to compare in the two columns  The  curves are independent of each other  An example of two curves to be compared is below     16    Chapter 3  How To    Dn E i       Vary  MT    3 Plot a single curve     MT  free  e Vary  A  ee Compare two curves e  MT  total     Competition          momi o jum gu  mere  100   Mmeme  20   uM  Seno      MT seamana utice wnang  A   MT   AMT A S5 AS A Le AL    Ku    AIIMT   AMT  K    UAIILI IAL   K     A ISV AS      A  total uM  A  total uM  NENNT NUN  IMT   1 jA K   10 uM  TENE       When you click the graph button  the curves will be plotted on the active graph or a    new graph     17    Chapter 3  How To    E Figure 1    File Edit Vi
23. nd a bug  how do I report it                  5 4 3 Ihave an idea for a great new feature                 less  595 Filing anupport eke x 4 9 xe pon Rs ER EUR CE RUE ee eee ee  Contact Us  Acknowledgements    MTBindingSim Revision History   Bul Version Uae ssiri rerien eee aaoee he eee 9 9   9593992  P VONIS s 20 kk oR REE REGN XR eee ES x  A 3 Version 0 12 4  1b   9    R 4cc 39 AX433 S543 3333333w3336   AD Version 0 11 i242 xx aaa L  AS Veron U4     sresrrssrss oh URGES eae eee heehee ee oe  AO Version US Lu oum e 9 ROMAE RR UEA SEXE UE PU ea ee  Per Versionl S Ll 2o sc   xx ae ee eee de ooo BERK Oh Eo  AO VISION OS sche ake ee eS Hee eee 9 ROOM EH Eee GS  A9 Version l0 xm 13 26RD ORE EAE eH eS  A 10 Version 0 6 1 lode ea ee eR SRE Eee eee deed Geese  ALl Version UO cease eae ebb tae e ebb US ba waa e shee nae dou bad  Pol VERSION  2e deus oe eos ea eee hee ee Ree eee IH    1  GETTING STARTED       Thanks for checking out MTBindingSim  Here   s a quick start tutorial designed to get you  eraphing binding curves in no time     1 1  Running MTBindingSim for the First Time    To begin  you will need to download and install MTBindingSim  When you run MTBind   ingSim for the first time  you should see a window that looks like this               Vary  MT    Plot a single curve   amp   MT  free     Vary  A     Compare     MT  total       Em   E    3 Competition  LE d x              Kan    AIIMTV IAMT      A  total uM  ure   1MT  A       Chapter 1  Getting Started    MTBindingSim   
24. r figure in a LaTeX  document  you should probably save it either as a PDF file or as an EPS file  Finally  if  you wish to edit the graph  changing text or other graph properties  it is recommended  to save the graph either in Adobe Illustrator format  if you have access to Illustrator   or  in PNG format  for editing in any image editing software  including Photoshop     If you d like to save the curves as x and y values in a spreadsheet  see  Saving a Graph  as a Spreadsheet  below     3 1 2  Editing Graphs    The graphs generated by MTBindingSim can be edited in several ways  From inside the  program  you can change the location of the legend box by clicking and dragging  You  also can edit the legend text by double clicking on it    If you would like to see a particular part of the graph blown up  you can use the zoom  in and out tools on the graph window  and then the hand tool to drag the graph to the  desired region    To edit the graph more extensively  two options are available  If you have MATLAB   you can save the graph as a MATLAB Figure   FIG  file  and edit it as you would any  other MATLAB graph  Otherwise  it is recommended to save as an Adobe Illustrator    15    Chapter 3  How To      AI  file  and edit in Adobe Illustrator  You may also be able to edit an Illustrator file in  the open source Inkscape image editor     3 2  Saving a Graph as a Spreadsheet    To save the curves from a graph as x and y values in a spreadsheet  click on the save  graph button i
25. rm a large polymer  but these two models together establish the trend of the  binding data in such a case     13    Chapter 2  Running MTBindingSim    2 2 7  Two Binding Sites    In this model  A can bind to two sites per tubulin dimer  site 1 and site 2 with different  dissociation constants     2 Sites na  A  MTI   AMTI  A  MT2   AMT     Kam 7 UAIEMTL  DAMTI   By  ZDAJIMT2  TAMTZ      A  total 0 uM  uum 0 uM  uz 0 uM    In this model  you input the total amount of A  or MT   the dissociation constant for  A binding to MTjsites  KAyr1and the dissociation constant for A binding to MTosites   KamtTz2  All inputs must be positive numbers  Note that the total amount of MT is the  total amount of MT4and MT      This model cannot be graphed with an x axis of  MT  free     14       This chapter explains how to use some of the advanced features of MTBindingSim     3 1  Editing and Saving Graphs    3 1 1  Saving Graphs    To save a graph generated by MTBindingSim for later use or editing click on the save  graph button  You can save your figure in the following formats     e MATLAB figure   fig    e Adobe Illustrator file   ai    e EPS file   eps    e JPEG image  jpg    e Portable Document Format   pdf    e Portable Network Graphics file   png   e TIFF image   tif    e Excel spreadsheet   xls    e Comma separated value table   csv     If you wish to embed your figure in a PowerPoint presentation or a Word document   the best choice is probably a JPEG image  If you wish to include you
26. s defaults are to plot a graph of an experiment in which the total con   centration of microtubules   MT   is varied  along the X axis   and the binding model is  first order binding  See the Running MTBindingSim chapter for more information about  these settings  and the Binding Model Mathematics chapter for more detailed information  about the binding models    First  enter values for the experimental range of  MT   Varying between 0 and 10 is a    nice start    MT  total min 0 LM   MT  total max 10  uM    You will also need to enter values for  A  total  Kp  and the binding ratio  Try 2 for  both  A  total and Kp  and leave the binding ratio at its default of 1      A  total 2 uMi  1 MT  1 A    To calculate the binding curve under these conditions  click the graph button       Graph Curve      You should now see a graph that looks like this     Chapter 1  Getting Started      E Figure 1  Fille Edit View Insert Tools Desktop Window    Hees hA OS94     a  E       a   Ea   a        ao  EC  ao   er   s   pam   LL       Congratulations  you ve just plotted your first binding curve using MTBindingSim    Try changing the values of  A  total  Kp  or the binding ratio to see how the curves  change  After plotting four curves you ll have a graph that might look something like  this       E Figure 1  File Edit View   Insert Tool Desktop Window Help  OGHS s A80dD84  8 0H   en   Vary  MT  Binding Assay   First order   A  total   2  KaT  2 N 1   First order   A  total   1  Kaur    2 N71
27. these equations can be solved analytically  the calculations are performed numerically   The program breaks either the total  A  or total  MT  range into a user defined number  of points and then calculates the concentration of free and bound A and free and bound  MT at each point     4 1  Polymer Nature of MT    Microtubules are polymers composed of tubulin dimers consisting of one alpha and one  beta tubulin  A microtubule is formed by 13 filaments of tubulin dimers binding head  to tail  For most of the microtubule  the lateral interactions are alpha beta  but one set of  interactions  the MT    seam     is alpha alpha and beta beta  For most binding calculations  the polymeric nature of the MT can be ignored  however  in a few cases it must be taken  into account  as described below     4 1 1  Concentration of MT    By convention  the concentration of MT is reported as the concentration of tubulin dimers   In most binding assays a microtubule stabilizer is used to make the concentration of free  tubulin irrelevant in binding calculations  Should this not be the case  the contribution  of free tubulin dimer both in decreasing the available polymer sites and in possibly com   peting with the polymerized tubulin for binding proteins must be taken into account   MTBindingSim does not deal with such cases     4 1 2  Binding Ratio    Some MT binding proteins appear to bind to MT with ratios other than 1 MT binding  protein   1 tubulin dimer  Ackmann et  al  have introduced the 
28. ve implemented a    pseudoco   operativity    model where the binding of an A to an MT site  with an affinity of KAwr   creates an MI    site  which has an affinity of KAwr  for A  MT  sites are created by the  binding of A to both MT and MT  sites  so the total number of MT  sites is equal to the  total number of bound A proteins    The binding relationships are    A  MTSAMT A  MT      AMT x    The dissociation constants for these interactions are     22    Chapter 4  Binding Model Mathematics    Kamr    A  MT     AMT   Kamrx    A   MTx     AMT     We can write mass balances for this situation  Note that there is an additional mass    balance for MT    IMT  igigy    MT       AMT     AMT     AMT      This equation can be used to show that  MT      AMT   which we will use later    Aliota    A     AMT     AMT      A    RE   LUBE     pa    4D ga   fain      A    IMT  GC sets   IMT  totaa    MT     AMT     MT      AMT      MT     AMT     AMT     AMT                                MT   2 AMT     AMT     MT    ZAMN 4  AIM    X AJMT     AJAMT  Aner    AAMT    MI   AME t TAI nx KAMT a KAMTKAMT      MT   1   KAMT   POTRT  The MT mass balance can be solved for free MT as follows    MT  total   MT  B 1  2 A     A    KAMT  KamTkamtT   This equation can then be substituted into the mass balance for A to get    MT total Gc e   A  total    A      AMT    AMT AMT  1 poe o  a KAMT E KAMTKAMT     This equation is solved numerically by the program to calculate A bound and free  and MT bound and 
    
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