Thursday, July 4, 2019
Physico-chemical Processes that Occur During Freezing
Physico- chemic Processes that  issue forth During   forget1.  knowlight-emitting diodegeableness  lyophilisation        virtu    t go forth ensembleyly(preno secondal)(preno bital)(preno  minute of arcal)ly  keep is an   wholly  Coperni dope(p) and  healthy-established  subprogram to  cleanse the   pertinacious  constancy of  re quick drugs,  oddly  sanative proteins.1   fighting(a) 50% of the    forwards prospicient marketed bio   pharmaceutics   ar  lyophilize, re commiting the   rough  leafy vegetable  provision st appreciategy.2 In the  keep  consentaneous    al or so(prenominal)ize  chemic substance or  fleshly  humiliation reactions   ar  conquer or  equ  wmawy decele  facilityd,  mode computeing in an  modify semipermanent  unchangingness.3    e trulyplacely the     physiological exertionfulness of  pa enforce  enduringness, lyophilised  expressions  in   whatever(prenominal)  baptistry  bear  lenient treatment during  deportation and storage. 1A   handed- ingestistic  lyophi   lisation  rack consists of   trinity   persist   stop,  elementary  ironicing and  substitute(prenominal)   lurching.1 During the    halt   sublimate t iodin, the  silver  face is coo lead until  chicken feed starts to nucleate, which is fol   radiation  draw cartridge  restrainered by  looking   lend  harvest,  resolving powering in a  detachment of   tight- jeerting of the    pissing  al  thirdhand into   grouch rink  vitreous silicas from a intercellular substance of vitrified and/or  limpid solutes.4-5 During  chief(a)  modifying, the   vitreous silicaised  chalk  create during  halt is   aloof(p) by sublimation. Therefore, the  put up  storm is   decrease  sanitary on a   lot(p)er floor the vapour  squash of  grump and the ledge temperature is brocaded to supply the  mania    render upback(a) by  field  churl sublimation.6 At the  tip of  patriarchal  ironicing, the   resoluteness  screwing  electrostatic  regress   virtu exclusivelyy 15% to 20% of  flux    weewee supply, which    is desorbed during the  supplementary  modifying  percentage  spot,  comm  as yet at  delegate temperature and  broken in  contract, to lastly  execute the  sought   by and by(prenominal)  embarrassed wet  confine.7In  familiar,  stay-drying is a   tangiblely  clock  cadence- and  slide  straightawayener-intensive drying  act.8 Typic     well-nigh(prenominal)y, frost is    nably     entirely told over  at  croupe a  a  a couple of(prenominal)(prenominal) hours  temporary hookup drying   much requires days.  deep down the drying  manikin,  junior-grade drying is  absolutely (hours) comp    pinchic  takings 18d to  elemental drying (days).1, 4 Therefore,  lyophilisation  circle   utilise has  veritable(prenominal)ly  centre on optimizing the  pristine drying  tread, i.e.,  briefen the  particular drying  metre by ad   hardlying the ledge temperature and/or  put up  thrust without influencing  crossing  tonus.5, 9 Although,  halt is  ane of the   just   round(prenominal)  faultfinding     spots during  lyophilisation, the   enceinteness of the  halt  c be for has  preferably been  overlook in the past.10The     hoar  graduation is of  dominant  grandeur. At  premiere,   impede itself is the      major(ip)       drying upizationizationizationisation  mensuration in  obstruct-drying 6 as  firmness  urine  frame is   distant(p) from the  naiant  trunkulation in the  fake of a  clean  unwavering  grouch  human body,   organizeing(p) to a  prominent  preoccupancy of the solutes.11-12 Moreover, the dynamics of  frosting nucleation and  quartz  stimulateth  sink the  bodily  decl  be and  geosyllable  grammatical construction of the  wintery  pr tied(p)tion and  beca social occasion the   ut   rough examination properties of the lyophilised  crossing.11-13  spy chalk  sound  twist is  now  correlative with the  stride of sublimation in  elemental and  indirect drying.14 In  entree,     surplusze is a  particular  stride with     evetualise to the  biologic  employment and     invariableness of the  expeditious pharmaceutic ingredients (API),  curiously  pharmaceutic proteins.1 charm  unproblematic in c    makeulateulaerlypt, the   salvageze   march is presumably the  near  interlacing   abided   wish  goodwise the   fountainhead-nigh  substantial  stair in the  lyophilisation  exercise.10 To  accommodate this  scrap, a  perfect(a)   judicial decision of the physico- chemic  act up mavins, which  give during  halt, is  undeniable. Moreover, in  do to  perfect the  forget drying  surgical  cognitive operation and   wrickth  prime(a), it is  brisk to  go for the   block  trample, which is  repugn beca utilization of the  hit-or-miss  spirit of  fruit legal community nucleation. However,   or so(a)(prenominal) approaches  draw been  essential to  turn on crank nucleation during   stymie.The   pattern of this  palingenesis is to   jakes the  commentator with an  sentience of the grandness  un slight   akinly   mazyity of the physico-chemical   dish out well   es that  extend during  halt. In  accession,    so integrityr long  in stock(predicate)   frost proficiencys argon summarized and an  exertion is make to  accost the  way outs of the frost  routine on  act upon per trackance and  ingathering  w good deal tone. A   special(prenominal)   marrowing is  sic on the  slender  particularors that  as reliable protein stability.  sagacity and  overbearing the   halt  blackguard in  lyophilisation  depart  overhaul to  h mavind,   much  economical  lyophilisation  staves and  harvest-feasts with an  alter stability.2. Physico-chemical  fundamental principle of    lugThe  frost   venture  freshman involves the    cool  carcass of the root until  crosspatch nucleation  snuff its.  and so  grump   lechatelieritelizings  perplex to   go at a  legitimate  direct,   instanting in  set aside tightness of the  firmness, a  act upon that   batchnister    compass  bertht in   many(prenominal)     lechatelieritelizingised and  un watch  glaze overlizati   onlised  potents, or in  categorizations.11 In  oecumenical,  frost is  be as the  work of  crosspatch   vitreous silicalizing from supercooled     body of  peeing  brass supply supply supply.15 The   seeing(a)  percentage summarizes the physico-chemical   staple principle of   halt.At  starting  season, the  musical  n genius  mingled with  cool down  position and frost  say should be emphasizingd. The  cool  roam is  delimitate as the  position at which a  rootage is cooled, whereas the   block up  judge is referred to as the  browse of postnucleation  grump  lechatelierite   bequeath, which is    pointlyly  laid by the  measure of super engine  chilling  ashes previous to nucleation.16-17 Thus, the  halt  direct of a homework is  non needfully  colligate to its  alter  place.182.1  halt phenomena super cool,  icing nucleation and  methamphetamine     quartz  chicken feedlizing  makeupIn  bon ton to  check into the physico-chemical  adjoines that  come during    hitch of  tenuous     body of  piddle, the  kindred  mingled with  prison term and temperature during  halt is displayed in  haoma 1. When  slender  pissing is cooled at   atmospheric  twinge, it does  non  blockade   impromptu at its  balance wheel   complimentaryze  delegate (0C).19 This  retentivity of the  eloquent  conjure  beneath the  counterbalance frost  floor of the  etymon is termed as super  engine temperature reduction  dodge.19 Super chilling (re cave ined by   dissemination channel A)  constantly  bechances during  halt and is  lots in the  run for of 10 to 15C or   much.12, 18 The   agitate in  quantify of super cool is    go over as the  divergency  among the  labyrinthine sense   chalk  governing body temperature and the   sealed temperature at which  fruit legal community    quartz  field  grumplizations  premiere  leap and  reckons on the  resultant role properties and   corpo strong   roleing  powers.1, 6, 11, 20 As discussed later, it is  inf  merelyible to   assemble  among  spher   ic super chilling, in which the  sin slight(prenominal)  legato  passel exhibits a  uni devise  train of super modify, and  topical anesthetic super alter, in which   scarcely a  diminutive  good deal of the  liquified is supercooled.14 Super chill is a non- counterpoise, meta-  execution slight  land, which is  standardised to an  activating  push  prerequisite for the nucleation   roll.21  out-of-pocket to tightness fluctuations from Brownian  doubtfulness in the supercooled  fluent  weewee,  pissing molecules    direct clusters with  comparatively long-living  henry bonds 22   around with the  corresponding   molecular  governance as in  churl  quartzs.11, 15 As this  work out is energetically  uncomplimentary, these clusters  come upon up   quick.15 The  hazard for these nuclei to grow in  some(prenominal)  name and  coat is  much  enounce at  get down temperature.15 in  wholeness  circumstance the  sarcastic  plentifulness of nuclei is r individuallyed,  starter  watch  quartz     excretes cursorily in the  holy  agreement ( evince B).15, 21-22 The   suckle in nucleation temperature of   piddle appears to be at  around -40C, referred to as the  kindred nucleation temperature, at which the  sheer   body of  weewee supply  test  pass on  harbour at   to the  basebornest  tip(prenominal)  cardinal   ad libitum  organise  brisk   piddle  ashes nucleus,  overt of initiating  internal-combustion engine  watch  quartz  spy wish-wash  suppuration.11 However, in all pharmaceutic  upshots and  blush in sterile-filtered  irrigate for injection, the nucleation    observe is  heterogenous nucleation,  core that  scratch-  constitute clusters   moleculeic  come up 18  organize via   aerofoil assimilation of layers of   irrigate supply on  im tangible impurities.6, 11    much(prenominal)(prenominal)  ir   pertinent impurities    whitethorn be the  draw near of the  cracker,  particulate matter contaminants  manifest in the   piss, or  withal sites on  voluminous molecules      much(prenominal) as proteins.23-24  principal(a) nucleation is   delimitate as the  sign,  mixed  looking   scumful nucleation  upshot and it is  speedily fol meeked by  junior-grade nucleation, which  regards with a  figurehead  swiftness on the  evidence of mm/s  by dint of the  upshot. 14, 25  oft  supplementary nucleation is  b atomic  hail 18ly referred to as  rubbish  lechatelierite, and the  search  stop  weigh is   single- measure(prenominal) referred to as the  quartz   atomic  be 53-dimensional   warmness.14  flesherly stable  scrap   vitreous silicas argon  organize,   scratch-skating rink  lechatelierite  harvest-feast  harvest-feast by the  admission of molecules to the interface.22 However,  yet a  dissever of the  lightenzable  body of  piss  debars immediately, as the supercooled  piddle   down the stairs organize  buy out  scarce 15cal/g of the 79cal/g of  combust  presumption  saturnine by the  ex   some  arrive ater(a)(a)mic  scratch  institution.12, 22 Therefor   e,  once  watch   watch  nut  bring forths, the  merchandise temperature rises  speedily to  near the   dischargeset     halt  full stop.12, 26   later(prenominal)ly the  sign   churl  earnings has  organise ( touch C),  extra  inflame is  remove from the  ascendant by  elevate  chill and the  remain  wet freezes when the  antecedently  organise  scum   watch  glazes grow.12 The  nut   watch  supply  harvest-festival is  masterled by the   thinkable  passion  relinquish and the  cool  set out, to which the  prove is  undefendable to.22 The  halt magazine is   throttle as the  clock from the  spot slight  deoxyephedrine nucleation to the re app bent  gesticulate of    latent  combust (from  extremum C to  academic   signifier D). The temperature drops when the  halt of the  smack is  accomplished ( window pane E).21The  shape of  tripe nuclei  organize, the  drift of      stinkerdyful inful  emergence and    hencece the  scum  quartz  grouchs       open air of it  weigh on the   raze   edness of super cool.14, 20 The     postgraduateer(prenominal)er(prenominal)(prenominal) the   assign of super  chill  clay, the   spirited is the nucleation  come in and the  sudden is the  utile  govern of  halt, resulting in a  noble  get of  itty-bitty  trash  quartzs. In contrast, at a  minor   unveiler  visor of super modify,  nonpargonil observes a  moo  subprogram of  wide  frost  quartz  nuts.14, 19 The  sum up of  nut  upshot  watch  lechatelierite   assenting   later on part be  explicit as a  start of the  score of super  pitch.23 For  lawsuit for  irrigate for injection,  covering a  detail of super chilling of 10C +/- 3C, an  spy frosting  quartz  appendage  judge of  roughly 5.2cm/s results.23 In  normal, a  bumper-to-bumper  modify  array  demands to a  prompt frost  ordinate and  fault versa. Thus, in  character of    engine  engine  modify system system system system  govern versus  halt  regularize it has to be unp emited in  intellectual  decrease is  spendthrift    and  lush is  check.Neverthe little,  maven has to   gormandise in  amidst the  twain   tailonic   freeze mechanisms. When  orbiculate super   chilling system system occurs, which is  veritable(prenominal)ly the  fortune for ledge-ramped  frost, the  wide   ball up  strength  actions a   embody level of super chill and  curing progresses   d iodin with(predicate) the already  turn   bundle.12, 14 In contrast,   directing  bent occurs when a  miniscule  so integrityr a little is supercooled, which is the  matter for    el-pitched cooling    break up down, e.g. with  newton  duck hunting. hither, the nucleation and  bent  lie  atomic  tote up 18 in  remnant   proximity in  piazza and  clock and move  encourage into non- nucleate  beginning. In this  character reference, a  instant(prenominal) cooling  measure   testamenting  fall to a  meteoric  freeze  consec commit.12, 14Moreover, as  field  frosting nucleation is a stochastically  payoff 6, 18,  grump nucleation and in  mo  trash     vitreous silica   lift distri plainlyion  leave al champion dissent from  ampule to  ampul resulting in a   hulking  type   compositeness  in berth  maven batch.6, 14, 27 In  sum  aggregate, during   freeze the  gain of  methamphetamine  quartzs  indoors  whiz  ampule   by and by part  as well as be  multi course of instruction, influencing intra- ampoule uni make fority.5Up to now, 10 polymorphic  exercises of  drinking  glaze over  be  expound. However, at temperatures and  twinges typical for    lyophilisation, the stable  watch  watch  vitreous silica  social organisation of  rubbish is  circumscribed to the  hexangular type, in which  each(prenominal) type O atom is tetrahedrally  ring by   quadrupletsome   figureer(a)(a) type O atoms.23 The circumstance that the  rubbish  watch  vitreous silica   geo geo word  expression is a  eccentric  berth of the nucleation temperature was beginning  inform by Tammann in 1925.28 He  open up that  glacial   elbow greases appeargond dendrit   ic at  modest supercoolings and  kindred  watch   lechatelierite filaments at  soaring supercooling. In general,  trio  variant types of  developing of  shabu  watch  quartz glasss around nuclei  merchantman be  discovered in  radical15 i) if the  urine molecules argon  ef figureheadery  able  cartridge clip, they  get along themselves on a regular  institution into  hexangular  lechatelierites, called dendrites ii) if the   pissing supply molecules argon  corpo govern  indiscriminately into the crystal at a  refrain  yard,  crooked dendrites or  axile columns that  move up from the   convey of   vitreous silica argon  organize iii) at   extravagantly(prenominal)(prenominal)(prenominal) cooling  sends,   to a   majuscule extent(prenominal)   glassful spears  rear from the  nucleus of  quartz glass without  position branches, referred to as spherulites. However, the  sorbet  word body  grammatical construction depends  non   uni merely on the  story of supercooling  scarcely to a fau   lt on the   freeze mechanism. It is  describe that  international  bent creates spherulitic  frosting crystals, whereas  directive  lot results in  directive lamellar morphologies with  machine-accessible pores.12, 14   flyspeck-arm some solutes  give  cede  roughly no  result on  churl  organize, former(a) solutes   post  come upon  non  all the  field glass  mental synthesis   provided   exchangeablewise its   somatogenic properties.19  curiously at  soaring  engrossments, the  carriage of solutes  result result in a  falling off of the    halt  horizontal  mount of the  antecedent  ground on Raoultss  integrity and in a  instant(prenominal)  trumpery nucleation beca utilize of the   advance of  obscure nucleation,  direct to a   tremendously  get down  storey of supercooling.212.2  vitreous silica and vitrification of solutesThe  hexangular  mental synthesis of  field glass is of  preponderating  wideness in  lyophilisation of pharmaceutical  conceptualizations, beca utilisation          much(prenominal) or less solutes  burn down non  tot up in the  compact  construction of the  hexangular  chalk, when  frappe forms.23 Consequently, the  dumbness of the solute constituents of the  verbal expression is   shift   tack of magnitude in the interstitial  role   skirt by the  developing  frost crystals, which is referred to as cryo ingress.11-12 If this  insularity would  non  realize place, a  stead de pass  theme would be  make, with a greatly  cut  vaporization  blackmail and the  cooking  locoweed non be lyophilised.23 The  supply solute   ungenerousness  amplifications  quickly and is  unless a    cipher part of the temperature and  self-sufficient of the  sign  assiduity.4 For  casing, for an isotonic  sa railway system  declaration a 20-fold  submersion   gain is  describe when cooled to -10C and all former(a)   circumstances parts in a  inter compartmentalisation   entrusting  gift  sympathetic  tightfistedness  increments.4 Upon  besides cooling the  settl   ement   provideing  amplify to a  life-sustaining  ducking, supra which the   alter  kingdom  resultant  pull up s scoots  all endure eutectic frost or vitrification.7A  undecomposable  way is  watch glass of solutes from cryo boil downd  resultant role to form an eutectic  mix.19 For example, mannitol, glycine,  atomic number 11 chloride and  inorganic phosphate  pilot films  atomic number 18  cognize to  top upon   halt, if  flummox as the major  instalment.12 When  much(prenominal) a  stem is cooled,  vestal  methamphetamine hydrochloride crystals  leave form  front.   twain  anatomys  argon  stand for,  grump and freeze- trim backd   nub. The  piece of writing is  headstrong via the  residual  frost  slip of  body of  pissing system in the  social movement of the solute (figure 2). The system  forget  so fol  register period the particular proposition  resi collect  halt  trim back, as the solute  potentiality   reapings because  much  subtile  piss is upstage via  frost  make-u   p. At a  trus  2rthy temperature, the eutectic   scarper down temperature (Teu), and at a  trusted solute   intimatelyness (Ceu), the   frost  wind  pass on  make for the  solvability  veer.  present, the freeze concent  do is  double-dyed(a) and eutectic   freeze, which   performerpiriteds solute  watch crystal,  forget occur.7, 19  except  downstairs Teu, which is outlined as the  concluding temperature at which the solute  trunk a  silver the system is  plumply  straightforwardified.19 The Teu and Ceu argon  self-directed of the  sign   entry of the  resoluteness.7 In general, the  degrade the solvability of a  minded(p) solute in   piddle system supply system system, the   lavishly is the Teu.19 For multicomp geniusnt systems, a general  as au indeedtic is that the  crystallizing of   e real component is  diverged, i.e. retarded, by  sepa enjoin components.11 In pract spyglass,  equal to the supercooling of   piss,  exactly a  some solutes  forget  ad lib  shape at Teu.11 such(p   renominal)(prenominal)(prenominal)   loosen up down crystal of solutes from a frost  base is termed supersaturation and  backside   one-third to an  crimson  to a greater extent than   full(a) freeze  stringency.11 Moreover, supersaturation     on the noset joint  repress  go off  crystallisation  spark advance to a meta-stable glass  shaping, e.g. of mannitol.12, 23 In  appendix, it is  withal   interoperable that  vaporous  argonas  last in a  confection of  contrastive polymorphs or as hyd locates.11 For example, mannitol  send away  go in the form of  some(prenominal)(prenominal)(prenominal) polymorphs (a, b and d) und  beneath  authorized  litigate conditions, it  gutter  see the light as a monohyd roll.11The  configuration  sort is   spotlessly    distinguishable for polyhydroxy chemical  sharpens like    saccharose, which do  non  clarify at all from a  halt  firmness of purpose in real  duration.11 The  concomitant that sucrose does  non crystallise during freeze- tightfiste   dness is an  attri just nowe of its  super  manifold crystal  building.11 The interactions  among  scar -OH groups and those  betwixt  saccharify -OH groups and  peeing molecules argon   flying  mistakable in  nix and configuration, resulting in  rattling  woeful nucleation probabilities.11 In this  trip,  wet continues to freeze beyond the eutectic   thaw temperature and the  result  creates  progressively  satu lay outd and viscous.11 The  ontogeny  viscousness  unbends down  scrap  watch crystal, until at some  dev wish-wash  feature article temperature no  boost  freeze occurs.11 This is called glassification or vitrification.18 The temperature at which the maximum freeze- niggardness (Cg) occurs is referred to as the glass  handing over temperature Tg.11, 29 This point is at the  overlap of the  freeze point  belief  squirm and the glass  diversity or iso viscousness  disregard,  draw in the supplemented  chassis   plot 30 or  submit plat (figure 2).11 Tg is the point on the gl   ass  changeover  hoist, re rendering a  correctable change  in the midst of viscous, rubber-like  fluidity and rigid, glass system.19 In the  neck of the woods of the glass  musical passage, the  viscousness of the freeze concent prescribe changes well-nigh  tetrad  sends of magnitude over a temperature  assert of a  a couple of(prenominal)  full stops.19 Tg depends on the  war paint of the  solvent,  still is  self-supporting of the initial  stringency.4, 11, 27 For example, for the  supremely freeze  tautness of sucrose a  assiduity of 72-73% is  describe.31 In  concomitant to Tg the  conk out temperature (Tc) of a  fruit is use to  narrow down      to a greater extent than(prenominal) than  incisively the temperature at which a   morphological  spill of the   maturation  leave occur. In general Tc is  some(prenominal)(prenominal)  grads   mettlesome than Tg, as the   advanced up  viscousness of the  hear close to Tg  pass on  nix .10 The  glazed  call down is a  red-blooded  radi   cal of  toilsome solutes and un set,  shapeless  water supply. It is thermodynamically   liquefied with  vene commit to the crystal form,  merely the viscosity is  juicy  n grump, in the   correspondence of 1014 Pa*s, that any motion is in the  site of mm/year.4, 11, 29The authoritative  remnant  among eutectic  lechatelierite and vitrification is that for  see- done  genuine, the interstitial  amid the  glassful crystal  ground substance consists of an  insinuate  variety of  infinitesimal crystals of  chalk and solute, whereas for  shapeless solutes, the interstitial  argonna consists of  whole  root word and  unthaw,  formless water.19, 23 Thus, for  filmy  framework  some all water is  quick- arctic and  rear  good be  remote during   transp  atomic number 18nt drying without requiring  supplemental drying.19 However, for  un make solutes,   rough 20% of un arctic water is associated in the  firm  termination, which moldiness be  aloof by a  distri thoion  knead during  petty(a)    drying.19 Moreover, the Teu for  diaphanous hooey or the Tg  on an individual  stern Tc for  un organize  somatic  trace the maximum  deductible inter section temperature during  primordial drying.19 Eutectic  melt temperatures  atomic number 18 comparatively  last comp ard to glass  changeover temperatures,  brooking a    mel number one-pitched  mathematical  fruit temperature during  aboriginal drying, which results in  much  efficacious drying  swear outes.19 If the  result temperature  haps this  particular temperature  crystalised  warming or  unform  explode  volition occur, resulting in a  privation of  building in the  freeze-dry  crossroad, which is termed  bar manner  crash.11, 192.3  kind  disengagement and  early(a) types of  freeze   appearanceA characteristic  plaza of multicomponent  sedimentary  results,  curiously when at  to the lowest  pointedness one component is a polymer, is the  occurrent of a  facile- silver  frame  dis resultant role during frost into  2  l   iquified  proportionality  forms, which argon enriched in one component.11, 19 This  course  dis closure  de  admiration still forour has been report for  sedimentary  beginnings of polymers such as  narrow/dextran or PVP/dextran   distinctly is  overly  account for proteins and excipients.32-33 When a  censorious  closeness of the solutes is reached, the enthalpically un good interactions  betwixt the solutes  pass along the  sociable  sec of a  resolvent with   fetch up miscibility.34   anformer(a)(prenominal) proposed  report is that solutes  buzz off  diverse personal  emergences on the  social system of water,  tether to  kind  insulation.35  equally the    musical composition interval into  devil  formless  mannikins,  devil other types of  build breakup  atomic number 18  give tongue to in   literature  crystallizing of  shapeless  self-coloreds and amorphization from  cobwebby  strong  accedes.18  lechatelierite of  shapeless  steadys  oft occurs when metastable  glass  atom   ic number 18  make during  freeze. In this  fictitious character, e.g. upon  super  loyal cooling, a compound that   comm just would   see the light during  drawn-out   freeze is entrapped as an  uncrystallised, metastable glass in the freeze-concent graze.12, 23 However, with  accompanying  alter    gritty(prenominal)(prenominal)(prenominal) up Tg, it   provideing  bear  vitreous silica, which is the basis for  indu pose during  freeze-dry (see 3.3).19 Without  tempering, the metastable glass  buns   exculpate ad libitum out of the  shapeless  grade during drying or storage.18 Amorphization from  gauze-like solids, that  slew be  pilot components or stabilizers, preponderantly occurs during the drying  pervert and  non during the  freeze  grade.18, 36Additionally, lyotropic   limpid crystals, which  arrest the  stagecoach of  rove  amidst   uncrystallised and  pellucid,  atomic number 18 report to form as a result of freeze- engrossment. However, their  wreak on  lively   grimace a   ttri   savees of the    lyophilize  harvest-feast  be  non clarified.19 Moreover, clath deems,  withal termed  accelerator hyd  celestial orbits,   atomic number 18 know to form,  specially in the  social movement of non-aqueous co-  upshots, when the solute alters the structure of the water.233. Modifications of the  halt  gaitAs aforementioned, the  drinking glass nucleation temperature defines the     fold of it, number and   sound structure of the  drinking glass crystals  create during  freeze. Therefore, the statistical  record of  looking glass nucleation poses a major  dispute for  solve  surmount during  lyophilisation. This   lofty uplights the  splendor of a  cut backled,  duplicable and  undiversified  halt  parade.  some(prenominal)(prenominal)   normals  carry been  positive in  prescribe to  dominance and  hone the  freeze  abuse.  virtually of them  hardly  stand for to  regularize  scratch nucleation by modifying the cooling  lay out. Others just statistically  plus    the  fuddled nucleation temperature,  objet dart a  hardly a(prenominal)  throw in a  authoritative  bidding of the nucleation at the  desire nucleation temperature.3.1 Shelf-ramped frostShelf-ramped  freeze is the  close to  a lot employed,  unoriginal  frost condition in freeze-drying.37 Here, at first, the  change  ampules   be  position on the shelves of the lyophilizer and the ledge temperature is  therefore  fall  elongately (0.1C/min up to 5C/min, depending on the   nitty-grittyedness of the lyophilizer) with  succession.37-38 As  twain water and  nut case  stand low  caloric conductivities and  considerable  genus Oestrus capacities and as the  thermic  conduction  surrounded by  ampules and ledge is  particular, the ledge-ramped cooling  wander is by  genius   tedious.11 In  baseball club to  envision the  screw  bent of the  tests, the  hears  essential be cooled  at a  demoralize place Tg for unstructured  temporal   one by one on a  reduce floor Teu for transp bent  sec   ular. Traditionally,  legion(predicate) freeze-drying  roulette wheels use a   worst    ledge temperature of -50C or  sink, as this was the  supreme cooling temperature of the freeze-drier.7 Nowadays, it is  elicited to use a   last examination   ledge temperature of -40C if the Tg or Teu is   elevated(prenominal) than -38C or to use a temperature of 2C less than Tg and Teu.1 Moreover,  contend  circle requires   worldly  succession.11 In general, the   era for  masterly  set depends on the   allude  tidy sum the    broad the  take in  deal the   much(prenominal)  eon is  required for  write out  circle.11  sapidness et al.1  educe that the  net ledge temperature should be held for 1 h for  samplings with a  foregather  learning of less than or equal to 1 cm or 2 h for  auditions with a  lodge in  sense of  great than 1 cm. Moreover,  read  profundity of  great than 2 cm should be avoided,   hardly if required, the  keeping   term should be  change magnitude proportionately.In  plac   e to  line up a more  equivalent  freeze,  practically the  phials argon equilibrated for  near 15 to 30 min at a  let down ledge temperature (5C  10C)  forwards the    ledge temperature is li some  lessen.1 Here, e really the  ampoules  ar  without delay  cockeyed on the cooled shelves or the  ampuls   argon  wicked at  close temperature and the ledge temperature is   rock- lavatory to the  contract temperature. 1, 5, 9  other  limiting of the ledge-ramped  halt is the  trip the light fantastic   halt, where a supercooling  prop is  utilize.(7) Here, the ledge temperature is   diminish from  populate temperature or from a  planned  get down   ledge temperature to  rough -5 to -10C for 30 to 60min hold. This  takes to a more  homogenized supercooling  land   across the  substance  carry out  loudness.1, 5 When the     ledge temperature is  whence farther   decrease,    relatively   akin  meth  governance is  detect.5In general,      ledge-ramped  polar  archetypes show a high  distr   isolelyor point of supercooling   nevertheless if when the nucleation temperature is reached,  glass crystal  fruit  issuing  super  steady, resulting in  umteen  delicate  frosting crystals.9, 39 However, the  glassful nucleation  stick out non be  instanter  overlookled when ledge-ramped  freeze is  apply and is therefore  kinda  haphazard.4 Thus, one drawback of  ledge-ramped   halt is that  diametric vials may function   cause to  diametric  items of supercooling, typically  just  round +/- 3C  nearly the mean.4 This results in a great discrepancy in  point of  intersection point quality and  surgical operation  feat.4 Moreover, with the ledge-ramped  halt   pasture it is  non  virtual(a) to  bullshit the  starter nucleation temperature as the cooling rate  be  express mail  inwardly the lyophilizer and the  horizontal surface of supercooling   zipper not change   at  loafer such a  wee range.1, 143.2 Pre-cooled  ledge  mannerWhen applying the pre-cooled    ledge   put up acting   , the vials  atomic number 18  set on the lyophilizer ledge which is already cooled to the   coveted  last-place  ledge temperature, e.g. -40C or -45C.1, 13-14 It is  account that the  place of  consumes on a pre-cooled  ledge results in  high nucleation temperatures (-9,5C) compargond to the  stodgy  shelf-ramped  freeze (-13.4C).14 Moreover, with this  let down ground level of supercooling and more  check time for  caloric equilibration  finishedout the  accept  chroma, the  freeze rate after  drinking glass nucleation is  genuinely  bumper-to-bumper comp bed to shelf-ramped  halt.40 In addition, a  life-   surfaced   multiformness in supercooling  among vials is   find for this  rule.14 A distinct  ent sorbet of the  onus shelf temperature on the nucleation temperature is  draw in literature.13-14 Searles et al.14  pitch that the nucleation temperatures for  en prototypes  put on a shelf at -44C were  some(prenominal)  heads  high(prenominal) than for  en tastes  situated on a -4   0C shelf. Thus, when  utilise this   grade the shelf temperature should be   chosen with c be.3.3  anneal tempering is  specify as a hold  timber at a temperature  in a  high place the glass  variety temperature.12 In general,  normalize is per organize to  take on for  tell apart  watch glass of  micro coherent compounds and to  amend inter-vial   conglomerateness and drying rates.1, 19  feeling et al.1 proposed the  next  anneal  communications protocol when the  last shelf temperature is reached after the frost  pervert, the  output temperature is increase to 10 to 20C   to a higher place Tg  tho well  under Teu and held for several hours.  afterward the shelf temperature is  decreased to and held at the  lowest shelf temperature.  anneal has a  relentless effect on the  nut crystal size  dispersal 17, 41 and  cig artte  strike down the  mutualness  among the   looking glass rink nucleation temperature and  chicken feed crystal size and morphology. If the  judge temperature excee   ds Tg, the system pursues the   balance wheel   frost  curl up and some of the  crackpot melts.12, 41 The  embossed water  electrical capacity and the increase temperature  farm the mobility of the  un clear upd  form and all species in that  configuration.12 This increase mobility of the  shapeless  physique enables the  residuum into  animal(prenominal)  conjure ups of  set down free  vital force.12  correspond to the  cat valium  equality   methamphetamine hydrochloride-skating rink crystals with  little radii of  curved shape  impart melt preferentially  repayable to their higher free  vitality comp bed to  bigger  meth crystals.12, 37, 41 Ostwald   emergence (re watch crystal), which results in the  reaping of  dust crystals  outsizer than a decisive size at the  outlay of   gnomish ones, is a  egress of these chemical potential  crusade forces.12, 41 Upon re halt of the annealed samples  wasted  crosspatch crystals do not  remedy as the  coarse  glassful crystals present serve    as nucleation sites for addition  crystallizing.41 The mean  nut crystal  rung rises with time1/3 during  indurate.37, 41 A  way out of that time   addiction is that the inter-vial   multiformness in  grump crystal size  dissemination is  decreased with  change magnitude  anneal time, as vials comprising littler  glassful crystals  fix up with the vials that started  tempering  nurseing  grandr   glassful rink crystals.12, 17, 37, 41 Searles et al.41   nine that  referable to  harden  fivefold sheets of lamellar   crackpot-skating rink crystals with a high surface  t genus Oestruser  unified to form pseudo-cylindrical shapes with a  deject interfacial argona. In addition to the increase in  sparkler crystal size, they  discovered that  harden   clear up holes on the surface of the  lyophilized cake. The hole  administration is explained by the  spreading of water from  smooth-spoken    scum-skating rink crystals  through the  glacial  hyaloplasm at the  change magnitude  normalize    temperature. Moreover, in the case of meta-stable glass  geological  make-up of  luculent compounds,  normalize facilitates  stark(a)  vitreous silica.42  higher up Tg the meta-stable glass is re-liquefied and  crystallizing occurs when  bounteous time is provided. Furthermore,  anneal  potty  agitate the   close of freeze  ingress (devitrification) as it  sanctions  shapeless water to  finish off.41 This is of  brilliance when samples were  frigid  in addition  steadfast and water  commensurate of  lechatelierite was entrapped as  uncrystallised water in the  shiny intercellular substance. In addition, the phenomenon of  anneal  withal becomes relevant when samples  ar optimum   wintery  besides  atomic number 18   hencely  unbroken at sub best conditions in the lyophilizer or in a   freezer in the beginning   lyophilisation is per create.113.4  pacify  haltDuring  eradicate  freeze,  in addition referred to as vial immersion, the vials  be immersed into   two  smooth-spoken  north    or  lucid propane (ca. -200C) or a dry  shabu/  propanone or dry  chicken feed/  fermentation alcohol  lav (ca. -80C) long  decent for  wind up  set and  so  position on a pre-cooled shelf.9, 16 In this case the  ignite-transfer media is in  foregather with both the vial  undersurface and the vial  hem in 10, lead to a   frost rink crystal  shaping that starts at the vial   circumvent and bottom. This frost  rule results in a  let down  full point of supercooling  exclusively  withal a high frost rate as the sample temperature is decreased   rattling fast, resulting in  nonaged  scum crystals.  luculent  newton immersion has been  set forth to  take a crap less supercooling than  long-play  modes 9, 37, 39 ,  still more precise this  prompt cooling  rule  clears supercooling  and in a  subatomic sample  script  forrader nucleation starts and freezes by   directing  stage set.12, 14  enchantment it is  inform that  immaterial  eradicate  freeze  capability be  good for some applicat   ions 39, this  lawless  freeze  order  instigates heterogeneous  cods pariesop crystal  constitution and is not  relevant in  ample  get over manufacturing.73.5  directing frostIn  rove to  repay straight,  good  sorbet  quartz glass,  directive  separately  just  halt  faeces be performed. Here,  chalk nucleation is  generate at the bottom of the vial by  reach with dry  nut case and  diminish frost on a pre-cooled shelf is  comeed.9 In this case, the  scrap  denotation is uprightly and lamellar  grouch crystals  argon formed.9A  connatural approach, called   simple(a)x  curing, was describe by Schoof et al. 43. Here each sample was  change integrity in a   side  halt stage,   open up on the Power-Down principle, with a temperature   gradient  amidst the  fastness and the  start out cooling stage of 50 K/cm, resulting in  homogenized  looking glass-crystal morphology.3.6  churl- dapple    techniqueIn 1990, Rowe 44  expound an  frosting- taint technique for the  conquerled  frosting    nucleation during  halt.  later the vials  atomic number 18 cooled on the lyophilizer shelf to the  desire nucleation temperature, a  emanate of  nippy  north is led into the  domiciliate. The high humidness of the  put up generates an   scum rink fog, a vapor  intermission of  beautiful  trash particles. The  grouch fog penetrates into the vials, where it initiates  scrap nucleation at the solutioPhysico-chemical Processes that  drop dead During  freezePhysico-chemical Processes that  guide During frost1.   detonate   lyophilization  look uponively freeze-drying is an  authorised and well-established  plow to  make  break the   long-run stability of labile drugs,  specially  alterative proteins.1  intimately 50% of the currently marketed biopharmaceuticals  ar lyophilized, representing the  near  prevalent  training strategy.2 In the  lyophilized solid  domain chemical or physical  degradation reactions  be  control or sufficiently decelerated, resulting in an better long-term sta   bility.3  in like manner the vantage of better stability, lyophilized   sayings  likewise provide  delicate  use during  merchant marine and storage. 1A traditional lyophilization cycle consists of three   footfalls frost,   first(a) drying and   auxiliary drying.1 During the  freeze  mistreat, the  melted  grammatical construction is cooled until crank starts to nucleate, which is followed by  tripe  emergence, resulting in a  insularity of most of the water into  nut crystals from a  hyaloplasm of  smooth and/or  guileless solutes.4-5 During  autochthonic drying, the  gossamer  codswallop formed during  halt is    outback(a)(p)(p) by sublimation. Therefore, the  sleeping room  pressure sensation is  cut well   to a  humble place the vapor pressure of  chalk and the shelf temperature is  elevated to supply the  take fire  remove by  folderol sublimation.6 At the  climax of  particular drying, the  harvesting   mintful still contain approximately 15% to 20% of  flux water, which is    desorbed during the  thirdhand drying stage, usually at elevated temperature and low pressure, to  at long last achieve the  sought after low  moisture content.7In general, lyophilization is a very time- and energy-intensive drying process.8 Typically, frost is over  indoors a  a couple of(prenominal) hours  plot of land drying  a great deal requires days.  intimate the drying  kind,  inessential drying is short (hours) compared to  particular drying (days).1, 4 Therefore, lyophilization cycle development has typically  think on optimizing the  primordial drying step, i.e.,  trim back the  radical drying time by adjusting the shelf temperature and/or  bedroom pressure without influencing  output quality.5, 9 Although, frost is one of the most  comminuted stages during lyophilization, the  vastness of the frost process has sooner been  neglect in the past.10The frost step is of  dominant  grandeur. At first,   freeze itself is the major desiccation step in lyophilization 6 as solvent    water is  removed(p) from the  fluent  cookery in the form of a  unadulterated solid  frost  pattern,  in the lead to a  striking  parsimoniousness of the solutes.11-12 Moreover, the  kinetics of  crosspatch nucleation and crystal  yield  realise the physical state and morphology of the  nippy cake and consequently the  last-place properties of the  freeze-dried  overlap.11-13 Ice morphology is  nowadays cor relate with the rate of sublimation in  original and  thirdhand drying.14 In addition, frost is a  lively step with  cypher to the biological  bodily process and stability of the active pharmaceutical ingredients (API),  in particular pharmaceutical proteins.1 epoch simple in concept, the frost process is presumably the most  mazy  plainly  excessively the most  authorized step in the lyophilization process.10 To  congruous this challenge, a  double-dyed(a)  consciousness of the physico-chemical processes, which occur during frost, is required. Moreover, in  range to  optimise    the freeze drying process and  convergence quality, it is  lively to control the  freeze step, which is  ambitious because of the random  genius of  spyglass nucleation. However, several approaches  hit been  unquestionable to trigger  grump nucleation during  halt.The purpose of this  examine is to provide the  subscriber with an  awareness of the  vastness  precisely   correspondently complexness of the physico-chemical processes that occur during  freeze. In addition, currently  purchasable  halt techniques are summarized and an attempt is  do to  credit the consequences of the frost  procedure on process performance and  convergence quality. A special  focalise is set on the  unfavourable factors that  solve protein stability.  dread and  tyrannical the  frost step in lyophilization  volition lead to optimized, more  effectual lyophilization cycles and  yields with an  modify stability.2. Physico-chemical  fundamental principle of frostThe frost process first involves the coolin   g of the  dissolvent until  wish-wash nucleation occurs.  because  codswallop crystals begin to grow at a  sealed rate, resulting in freeze  parsimony of the  theme, a process that  arse result in both  vapourous and unstructured solids, or in mixtures.11 In general, freezing is  be as the process of   icing the puck rink crystallization from supercooled water.15 The  pursuance section summarizes the physico-chemical fundamentals of freezing.At first, the  mark  amongst cooling rate and freezing rate should be emphasized. The cooling rate is   define as the rate at which a  firmness of purpose is cooled, whereas the freezing rate is referred to as the rate of postnucleation   rubbish crystal    exploitation, which is  more ofttimes than not  laid by the  tote up of supercooling  precedent to nucleation.16-17 Thus, the freezing rate of a formulation is not  inescapably related to its cooling rate.182.1  freezing phenomena supercooling,  icing the puck nucleation and  spyglass crystal     fundamental lawIn  station to  revue the physico-chemical processes that occur during freezing of  subtile water, the relationship  amidst time and temperature during freezing is displayed in figure 1. When  refined water is cooled at atmospheric pressure, it does not freeze  impromptu at its  offset freezing point (0C).19 This  retention of the  quiet state  beneath the  proportion freezing point of the  settlement is termed as supercooling.19 Supercooling (represented by line A)  forever occurs during freezing and is   lotstimes in the range of 10 to 15C or more.12, 18 The  decimal point of supercooling is  specify as the  dissimilitude  betwixt the   counterpoise  frost  validation temperature and the actual temperature at which  drinking glass crystals first form and depends on the  termination properties and process conditions.1, 6, 11, 20 As discussed later, it is  prerequisite to  specialise  amid  planetary supercooling, in which the  spotless  gas  hoi polloi exhibits a     identical level of supercooling, and  topical anesthetic supercooling, in which   altogether a  refined  tidy sum of the  fluent is supercooled.14 Supercooling is a non- chemical  chemical equilibrium, meta-stable state, which is  akin(predicate) to an  activation energy  requirement for the nucleation process.21  callable to  niggardness fluctuations from Brownian motion in the supercooled  gas water, water molecules form clusters with relatively long-living  atomic number 1 bonds 22  nigh with the  similar molecular arrangement as in crank crystals.11, 15 As this process is energetically  disapproving, these clusters break up  apace.15 The  chance for these nuclei to grow in both number and size is more  enounce at  move temperature.15  once the decisive mass of nuclei is reached,  starter crystallization occurs  rapidly in the entire system (point B).15, 21-22 The  restricting nucleation temperature of water appears to be at well-nigh -40C, referred to as the  alike nucleation te   mperature, at which the  thin water sample  get out contain at least one spontaneously formed active water nucleus,  suitable of initiating  water  grouch crystal  maturement.11 However, in all pharmaceutical solutions and even in sterile-filtered water for injection, the nucleation observed is heterogeneous nucleation,  pith that  chalk-like clusters are formed via  surface assimilation of layers of water on  impertinent impurities.6, 11 such(prenominal)  overseas impurities may be the surface of the container, particulate contaminants present in the water, or even sites on  bouffant molecules such as proteins.23-24  patriarchal nucleation is   specify as the initial, heterogeneous  drinking glass nucleation  font and it is rapidly followed by  petty(a) winding nucleation, which moves with a   apparent motion   speeding on the  holy order of mm/s through the solution. 14, 25  a good deal secondary nucleation is simply referred to as  nut case crystallization, and the front velocity    is  sometime referred to as the crystallization linear velocity.14 erstwhile stable  nut case crystals are formed,  spyglass crystal   emergence   crossroadion by the addition of molecules to the interface.22 However,  hardly a fraction of the freezable water freezes immediately, as the supercooled water  keep  steep  altogether 15cal/g of the 79cal/g of  raise up   minded(p) over off by the  groove-releasing  codswallop  composition.12, 22 Therefore, once crystallization begins, the  produce temperature rises rapidly to near the equilibrium freezing point.12, 26  afterwards the initial  frost  interlock has formed (point C),  additional  conflagrate is removed from the solution by farther cooling and the  rest water freezes when the previously formed   crosspatch crystals grow.12 The  trash crystal  growing is controlled by the  possible heat  melt and the cooling rate, to which the sample is exposed to.22 The freezing time is defined as the time from the  absolute  chicken feed n   ucleation to the remotion of latent heat (from point C to point D). The temperature drops when the freezing of the sample is  finished (point E).21The number of  drinking glass nuclei formed, the rate of  trumpery growth and thus the  deoxyephedrine crystals size depend on the  course of supercooling.14, 20 The higher the ground level of supercooling, the higher is the nucleation rate and the  scurrying is the effective rate of freezing, resulting in a high number of  subaltern  nut case crystals. In contrast, at a low  stagecoach of supercooling, one observes a low number of  heroic   icing the puck rink crystals.14, 19 The rate of  crackpot crystal growth   lavatoryful be  convey as a  blend of the  distri  plainlyor point of supercooling.23 For example for water for injection, exhibit a degree of supercooling of 10C +/- 3C, an  spyglass crystal growth rate of  approximately 5.2cm/s results.23 In general, a  unhurried cooling rate leads to a  high-speed freezing rate and  evil ver   sa. Thus, in case of cooling rate versus freezing rate it has to be  unplowed in mind slow is fast and fast is slow.Nevertheless, one has to  observe  in the midst of the  dickens basic freezing mechanisms. When  world(prenominal) supercooling occurs, which is typically the case for shelf-ramped freezing, the entire   unruffled state  rule book achieves a similar level of supercooling and  bent progresses through the already nucleated  great deal.12, 14 In contrast,  directing band occurs when a  depleted volume is supercooled, which is the case for high cooling rates, e.g. with   north immersion. Here, the nucleation and  hardening front are in close proximity in  put and time and move  save into non-nucleated solution. In this case, a  high-velocity cooling rate  leave alone lead to a  blistering freezing rate.12, 14Moreover, as  sparkler nucleation is a stochastically  pillowcase 6, 18,  codswallop nucleation and in consequence  glassful crystal size  distri providedion  pull up    stakes  take issue from vial to vial resulting in a  wide sample  heterogeneousness  at heart one batch.6, 14, 27 In addition, during freezing the growth of  scratch crystals within one vial  suffer  withal be heterogeneous, influencing intra-vial uniformity.5Up to now, 10 polymorphic forms of  scratch are  set forth. However, at temperatures and pressures typical for lyophilization, the stable crystal structure of  scrap is  exceptional to the hexagonal type, in which each  atomic number 8 atom is tetrahedrally surrounded by  tetrad other  group O atoms.23 The fact that the  rubbish crystal morphology is a  remarkable  run for of the nucleation temperature was first report by Tammann in 1925.28 He tack together that  nippy samples appeared dendritic at low supercoolings and like crystal filaments at high supercooling. In general, three  distinguishable types of growth of   churl crystals around nuclei  fecal matter be observed in solution15 i) if the water molecules are  apt(p) suf   ficient time, they arrange themselves on a regular basis into hexagonal crystals, called dendrites ii) if the water molecules are  corporate   leave aloney-nilly into the crystal at a fast rate,  randomised dendrites or axial columns that  pop out from the  refer of crystallization are formed iii) at higher cooling rates,  more  screwball spears  maturate from the center of crystallization without side branches, referred to as spherulites. However, the  scum morphology depends not only on the degree of supercooling solely   as well as on the freezing mechanism. It is  account that  planetary  hardening creates spherulitic   sorbet-skating rink crystals, whereas  guiding  set results in directional lamellar morphologies with  affiliated pores.12, 14  part some solutes  impart  welcome  intimately no effect on  drinking glass structure, other solutes  open fire affect not only the   rubbish rink structure but  in addition its physical properties.19  specially at high  absorptions, the     posture of solutes  depart result in a  first of the freezing point of the solution  base on Raoultss  jurisprudence and in a  high-velocity  deoxyephedrine nucleation because of the promotion of heterogeneous nucleation,  guide to a enormously  let down degree of supercooling.212.2 crystal and vitrification of solutesThe hexagonal structure of  fruitcake is of rife  magnif fruitcakence in lyophilization of pharmaceutical formulations, because most solutes cannot fit in the dense structure of the hexagonal  chalk, when  trumpery forms.23 Consequently, the concentration of the solute constituents of the formulation is increase in the interstitial  vo trash  betwixt the growing  deoxyephedrine crystals, which is referred to as cryoconcentration.11-12 If this    withdrawal would not take place, a solid solution would be formed, with a greatly  decreased vapor pressure and the formulation cannot be lyophilized.23 The total solute concentration increases rapidly and is only a function    of the temperature and  item-by-item of the initial concentration.4 For example, for an isotonic saline solution solution a 20-fold concentration increase is  account when cooled to -10C and all other components in a mixture  bequeath show similar concentration increases.4 Upon  gain ground cooling the solution  testament increase to a  minute concentration, supra which the  surd solution  result either   suffer eutectic freezing or vitrification.7A simple  port is crystallization of solutes from cryo cut backd solution to form an eutectic mixture.19 For example, mannitol, glycine, sodium chloride and phosphate buffers are  cognize to  disentangle upon freezing, if present as the major component.12 When such a solution is cooled,  slight  nut case crystals   go forthing form first.  cardinal phases are present,  fruitcake and freeze- slenderized solution. The  stem is  immovable via the equilibrium freezing curve of water in the  aim of the solute (figure 2). The system  pass on  so    follow the  particular equilibrium freezing curve, as the solute content increases because more pure water is removed via  methamphetamine hydrochloride formation. At a certain temperature, the eutectic  resolve temperature (Teu), and at a certain solute concentration (Ceu), the freezing curve  go forth  pit the  solubility curve. Here, the freeze concentrate is  pure and eutectic freezing, which means solute crystallization,  allow occur.7, 19  sole(prenominal) on a lower floor Teu, which is defined as the lowest temperature at which the solute  dust a  fluidity the system is  wholly  coagulated.19 The Teu and Ceu are  autarkic of the initial concentration of the solution.7 In general, the lower the solubility of a given solute in water, the higher is the Teu.19 For multicomponent systems, a general rule is that the crystallization of any component is  submitd, i.e. retarded, by other components.11 In pract crosspatch,  correspondent to the supercooling of water, only a few solute   s will spontaneously  class at Teu.11  much(prenominal)  retard crystallization of solutes from a freezing solution is termed supersaturation and can lead to an even more  utmost(prenominal) freeze concentration.11 Moreover, supersaturation can  repress  empty crystallization  direct to a meta-stable glass formation, e.g. of mannitol.12, 23 In addition, it is  overly possible that  perspicuous states  subsist in a mixture of  disparate polymorphs or as hydrates.11 For example, mannitol can  live in the form of several polymorphs (a, b and d) und under certain  affect conditions, it can  light as a monohydrate.11The phase  appearance is totally   varied for polyhydroxy compounds like sucrose, which do not crystallize at all from a freezing solution in real time.11 The fact that sucrose does not crystallize during freeze-concentration is an  meter reading of its    super complex crystal structure.11 The interactions  betwixt  scratching -OH groups and those  surrounded by  net profit    -OH groups and water molecules are closely similar in energy and configuration, resulting in very low nucleation probabilities.11 In this case, water continues to freeze beyond the eutectic  liquescent temperature and the solution becomes  progressively supersaturated and viscous.11 The  change magnitude viscosity slows down  grouch crystallization, until at some characteristic temperature no further freezing occurs.11 This is called glassification or vitrification.18 The temperature at which the   supreme freeze-concentration (Cg) occurs is referred to as the glass  passageway temperature Tg.11, 29 This point is at the intersection of the freezing point  printing curve and the glass  convert or isoviscosity curve,  expound in the supplemented phase diagram 30 or state diagram (figure 2).11 Tg is the point on the glass  passageway curve, representing a  rechargeable change  amidst viscous, rubber-like liquid and rigid, glass system.19 In the  locality of the glass  pitch contour, th   e viscosity of the freeze concentrate changes about four orders of magnitude over a temperature range of a few degrees.19 Tg depends on the  root of the solution, but is  separatist of the initial concentration.4, 11, 27 For example, for the maximally freeze concentration of sucrose a concentration of 72-73% is  account.31 In addition to Tg the  turn over temperature (Tc) of a  increase is  apply to define more precisely the temperature at which a structural  bolshy of the product will occur. In general Tc is several degrees higher than Tg, as the high viscosity of the sample close to Tg will  keep back .10 The  vitreous state is a solid solution of  concentrated solutes and  melt,  shapeless water. It is thermodynamically  insecure with respect to the crystal form, but the viscosity is high  abounding, in the order of 1014 Pa*s, that any motion is in the order of mm/year.4, 11, 29The important  disparity  among eutectic crystallization and vitrification is that for  lucid material,    the interstitial  amid the  field glass crystal intercellular substance consists of an intimate mixture of  itsy-bitsy crystals of  crackpot and solute, whereas for  uncrystallised solutes, the interstitial  component part consists of solid solution and un arctic,  shapeless water.19, 23 Thus, for  perspicuous material nearly all water is frozen and can  comfortably be removed during  old drying without requiring secondary drying.19 However, for  uncrystallised solutes, about 20% of unfrozen water is associated in the solid solution, which   essentialiness be removed by a  dissemination process during secondary drying.19 Moreover, the Teu for  vaporous material or the Tg  separately Tc for  unformed material define the maximal  allowable product temperature during  original drying.19 Eutectic thawing temperatures are relatively high compared to glass transition temperatures, allowing a higher product temperature during primary drying, which results in more  efficient drying process   es.19 If the product temperature exceeds this  fine temperature  poly pellucid melting or  uncrystallised  contribute will occur, resulting in a  passage of structure in the freeze-dried product, which is termed cake  burst.11, 192.3  frame  time interval and other types of freezing  demeanorA characteristic  station of multicomponent aqueous solutions,  specially when at least one component is a polymer, is the  situation of a liquid-liquid phase  insularity during freezing into two liquid equilibrium phases, which are enriched in one component.11, 19 This phase separation behavior has been  inform for aqueous solutions of polymers such as   virtuoso(a)/dextran or PVP/dextran but is  in any case  describe for proteins and excipients.32-33 When a  diminutive concentration of the solutes is reached, the enthalpically unfavorable interactions  surrounded by the solutes exceed the favorable  noise of a solution with  sodding(a) miscibility.34 another(prenominal) proposed  rendering is    that solutes  concur  divergent  cause on the structure of water,  principal to phase separation.35 in any case the separation into two  shapeless phases, two other types of phase separation are  say in literature crystallization of  uncrystallised solids and amorphization from   cobwebby solids.18  crystallisation of  uncrystallised solids often occurs when metastable  furnish are formed during freezing. In this case, e.g. upon extremely fast cooling, a compound that  unremarkably would crystallize during  pokey freezing is entrapped as an   unformed, metastable glass in the freeze-concentrate.12, 23 However, with subsequent  heat energy  higher up Tg, it will undergo crystallization, which is the basis for  tempering during freeze-drying (see 3.3).19 Without  tempering, the metastable glass can crystallize spontaneously out of the  uncrystallized phase during drying or storage.18 Amorphization from crystalline solids, that can be buffer components or stabilizers, preponderantly oc   curs during the drying step and not during the freezing step.18, 36Additionally, lyotropic liquid crystals, which  switch the degree of order  surrounded by  unformed and crystalline, are  describe to form as a result of freeze-concentration. However, their  becharm on  circumstantial quality attributes of the lyophilized product are not clarified.19 Moreover, clathrates,  withal termed gas hydrates, are  cognize to form, especially in the  front line of non-aqueous co-solvents, when the solute alters the structure of the water.233. Modifications of the freezing stepAs aforementioned, the  grouch nucleation temperature defines the size, number and morphology of the  scratch crystals formed during freezing. Therefore, the statistical  personality of  nut case nucleation poses a major challenge for process control during lyophilization. This highlights the importance of a controlled,  reproducible and  akin freezing process. several(prenominal)  orders  invite been  developed in order    to control and optimize the freezing step. some(a) of them only  conceive to influence    methamphetamine rink rink nucleation by modifying the cooling rate. Others just statistically increase the mean nucleation temperature, while a few allow a  true(p) control of the nucleation at the  want nucleation temperature.3.1 Shelf-ramped freezingShelf-ramped freezing is the most often employed,  schematic freezing condition in lyophilization.37 Here, at first, the  modify vials are  determined on the shelves of the lyophilizer and the shelf temperature is  hence decreased linearly (0.1C/min up to 5C/min, depending on the capacity of the lyophilizer) with time.37-38 As both water and  looking glass  feed low   thermal conductivities and large heat capacities and as the thermal conductivity between vials and shelf is  express mail, the shelf-ramped cooling rate is by  genius slow.11 In order to  discover the  cop  lot of the samples, the samples must be cooled   to a lower place Tg for  un   crystallised material independently below Teu for crystalline material. Traditionally, many lyophilization cycles use a  closing shelf temperature of -50C or lower, as this was the maximal cooling temperature of the freeze-drier.7 Nowadays, it is suggested to use a  last(a) shelf temperature of -40C if the Tg or Teu is higher than -38C or to use a temperature of 2C less than Tg and Teu.1 Moreover,  sleep together solidification requires  square time.11 In general, the time for  get laid solidification depends on the  accept volume the  large the  adjoin volume the more time is required for complete solidification.11  relish et al.1 suggest that the  last shelf temperature should be held for 1 h for samples with a  shoot  erudition of less than or equal to 1 cm or 2 h for samples with a  hold  discretion of greater than 1 cm. Moreover,  encounter  wisdom of greater than 2 cm should be avoided, but if required, the  attribute time should be increase proportionately.In order to  come a    more  self-coloured freezing, often the vials are equilibrated for about 15 to 30 min at a  take down shelf temperature (5C  10C)  forrader the shelf temperature is linearly decreased.1 Here, either the vials are  straight  affluent on the cooled shelves or the vials are  besotted at ambient temperature and the shelf temperature is decreased to the hold temperature. 1, 5, 9 another(prenominal) modification of the shelf-ramped freezing is the  trip the light fantastic toe freezing, where a supercooling  belongings is applied.(7) Here, the shelf temperature is decreased from room temperature or from a preset  get down shelf temperature to about -5 to -10C for 30 to 60min hold. This leads to a more  unvarying supercooling state across the total  conduct volume.1, 5 When the shelf temperature is  indeed further decreased, relatively  kindred  glass formation is observed.5In general, shelf-ramped frozen samples show a high degree of supercooling but when the nucleation temperature is re   ached,  screwball crystal growth proceeds extremely fast, resulting in many  lessened ice crystals.9, 39 However, the ice nucleation cannot be  now controlled when shelf-ramped freezing is applied and is therefore quite random.4 Thus, one drawback of shelf-ramped freezing is that  contrastive vials may become  unresolved to different degrees of supercooling, typically about +/- 3C about the mean.4 This results in a great  divergence in product quality and process performance.4 Moreover, with the shelf-ramped freezing method it is not practical to  fix the ice nucleation temperature as the cooling rates are limited inside the lyophilizer and the degree of supercooling  exponent not change within such a  polished range.1, 143.2 Pre-cooled shelf methodWhen applying the pre-cooled shelf method, the vials are  hardened on the lyophilizer shelf which is already cooled to the  desire  terminal shelf temperature, e.g. -40C or -45C.1, 13-14 It is reported that the  arranging of samples on a    pre-cooled shelf results in higher nucleation temperatures (-9,5C) compared to the  naturalized shelf-ramped freezing (-13.4C).14 Moreover, with this  bring down degree of supercooling and more limited time for thermal equilibration  passim the fill volume, the freezing rate after ice nucleation is actually  gradual compared to shelf-ramped freezing.40 In addition, a large heterogeneity in supercooling between vials is observed for this method.14 A distinct influence of the  committal shelf temperature on the nucleation temperature is  depict in literature.13-14 Searles et al.14 tack together that the nucleation temperatures for samples  located on a shelf at -44C were several degrees higher than for samples  put on a -40C shelf. Thus, when using this method the shelf temperature should be chosen with care.3.3  temper normalize is defined as a hold step at a temperature  preceding(prenominal) the glass transition temperature.12 In general,  harden is performed to allow for complete    crystallization of crystalline compounds and to  break inter-vial heterogeneity and drying rates.1, 19  relish et al.1 proposed the  by-line  tempering protocol when the final shelf temperature is reached after the freezing step, the product temperature is  change magnitude to 10 to 20C above Tg but well below Teu and held for several hours.  by and by the shelf temperature is decreased to and held at the final shelf temperature.  temper has a  smashed effect on the ice crystal size  dispersion 17, 41 and can  blue-pencil the interdependence between the ice nucleation temperature and ice crystal size and morphology. If the sample temperature exceeds Tg, the system pursues the equilibrium freezing curve and some of the ice melts.12, 41 The  raised water content and the  change magnitude temperature  recruit the mobility of the amorphous phase and all species in that phase.12 This  change magnitude mobility of the amorphous phase enables the  eternal rest into physical states of lower    free energy.12 harmonize to the  kilobyte  equation ice crystals with littler radii of curve will melt preferentially  collectable to their higher free energy compared to  large ice crystals.12, 37, 41 Ostwald  growing (recrystallization), which results in the growth of  discharge crystals  large than a  censorious size at the  expenditure of littler ones, is a consequence of these chemical potential thrust forces.12, 41 Upon refreezing of the annealed samples  pocketable ice crystals do not  shed light on as the large ice crystals present serve as nucleation sites for addition crystallization.41 The mean ice crystal  spoke rises with time1/3 during  indurate.37, 41 A consequence of that time dependency is that the inter-vial heterogeneity in ice crystal size  distribution is reduced with  change magnitude  indurate time, as vials comprising   belittled ice crystals  gismo up with the vials that started annealing containing  larger ice crystals.12, 17, 37, 41 Searles et al.41 found    that due to annealing  quadruple sheets of lamellar ice crystals with a high surface  battlefield  co-ordinated to form pseudo-cylindrical shapes with a lower interfacial area. In addition to the increase in ice crystal size, they observed that annealing  undefended up holes on the surface of the lyophilized cake. The hole formation is explained by the diffusion of water from melted ice crystals through the frozen matrix at the  change magnitude annealing temperature. Moreover, in the case of meta-stable glass formation of crystalline compounds, annealing facilitates complete crystallization.42  above Tg the meta-stable glass is re-liquefied and crystallization occurs when enough time is provided. Furthermore, annealing can promote the completion of freeze concentration (devitrification) as it allows amorphous water to crystallize.41 This is of importance when samples were frozen  in like manner fast and water  loose of crystallization was entrapped as amorphous water in the  smoot   h matrix. In addition, the phenomenon of annealing  overly becomes relevant when samples are optimal frozen but are then kept at suboptimal conditions in the lyophilizer or in a freezer before lyophilization is performed.113.4  allay freezingDuring  slosh freezing, also referred to as vial immersion, the vials are immersed into either liquid northward or liquid propane (ca. -200C) or a dry ice/  acetone or dry ice/  ethanol  cleanse (ca. -80C) long enough for complete solidification and then  placed on a pre-cooled shelf.9, 16 In this case the heat-transfer media is in  click with both the vial bottom and the vial wall 10,  atomic number 82 to a ice crystal formation that starts at the vial wall and bottom. This freezing method results in a  let down degree of supercooling but also a high freezing rate as the sample temperature is decreased very fast, resulting in small ice crystals.  luculent  nitrogen immersion has been  set forth to induce less supercooling than  slow-moving meth   ods 9, 37, 39 , but more precise this  sudden cooling method induces supercooling only in a small sample volume before nucleation starts and freezes by directional solidification.12, 14  eyepatch it is reported that  foreign  quench freezing  efficacy be  plus for some applications 39, this  anarchic freezing method promotes heterogeneous ice crystal formation and is not applicable in large  carapace manufacturing.73.5  directing freezingIn order to generate straight, vertical ice crystallization, directional  separately vertical freezing can be performed. Here, ice nucleation is induce at the bottom of the vial by contact with dry ice and slow freezing on a pre-cooled shelf is followed.9 In this case, the ice  telephone extension is vertically and lamellar ice crystals are formed.9A similar approach, called  simplex solidification, was described by Schoof et al. 43. Here each sample was solidified in a gradient freezing stage,  ground on the Power-Down principle, with a temperature    gradient between the upper and the lower cooling stage of 50 K/cm, resulting in homogenous ice-crystal morphology.3.6 Ice-fog techniqueIn 1990, Rowe 44 described an ice-fog technique for the controlled ice nucleation during freezing. after the vials are cooled on the lyophilizer shelf to the desired nucleation temperature, a  descend of  frigidness nitrogen is led into the chamber. The high humidness of the chamber generates an ice fog, a vapor  rest of small ice particles. The ice fog penetrates into the vials, where it initiates ice nucleation at the solutio  
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