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Changes of enzyme activity in lipid signaling pathways related to substrate reordering
Authors:Salinas Dino G  De La Fuente Milton  Reyes Juan G
Institution:Facultad de Ciencias de la Salud, Universidad Diego Portales, Santiago, Chile.
Abstract:The static fluid mosaic model of biological membranes has been progressively complemented by a dynamic membrane model that includes phospholipid reordering in domains that are proposed to extend from nanometers to microns. Kinetic models for lipolytic enzymes have only been developed for homogeneous lipid phases. In this work, we develop a generalization of the well-known surface dilution kinetic theory to cases where, in a same lipid phase, both domain and nondomain phases coexist. Our model also allows understanding the changes in enzymatic activity due to a decrease of free substrate concentration when domains are induced by peptides. This lipid reordering and domain dynamics can affect the activity of lipolytic enzymes, and can provide a simple explanation for how basic peptides, with a strong direct interaction with acidic phospholipids (such as beta-amyloid peptide), may cause a complex modulation of the activities of many important enzymes in lipid signaling pathways.
Keywords:_method=retrieve&  _eid=1-s2  0-S0006349505727405&  _mathId=si10  gif&  _pii=S0006349505727405&  _issn=00063495&  _acct=C000069490&  _version=1&  _userid=6211566&  md5=2a631700a3f590821cb49c39a602862b')" style="cursor:pointer  a≡(Ad/Ah)?(0≤a≤1)" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">a≡(Ad/Ah)?(0≤a≤1)  the fraction of the total lipid area that is occupied by the domain phase  _method=retrieve&  _eid=1-s2  0-S0006349505727405&  _mathId=si11  gif&  _pii=S0006349505727405&  _issn=00063495&  _acct=C000069490&  _version=1&  _userid=6211566&  md5=a338aae97d2b0c7092a9335a173241af')" style="cursor:pointer  Ah" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">Ah  area of total lipid phase with its lipid components distributed homogeneously  Ai  area of the i phase  _method=retrieve&  _eid=1-s2  0-S0006349505727405&  _mathId=si12  gif&  _pii=S0006349505727405&  _issn=00063495&  _acct=C000069490&  _version=1&  _userid=6211566&  md5=f93637b073e0458acdb16b9040ebfa78')" style="cursor:pointer  AL" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">AL  transverse area of a lipid molecule  _method=retrieve&  _eid=1-s2  0-S0006349505727405&  _mathId=si13  gif&  _pii=S0006349505727405&  _issn=00063495&  _acct=C000069490&  _version=1&  _userid=6211566&  md5=7cd91e262249c1aae257e664646be661')" style="cursor:pointer  Ce" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">Ce  univalent electrolyte concentration  _method=retrieve&  _eid=1-s2  0-S0006349505727405&  _mathId=si14  gif&  _pii=S0006349505727405&  _issn=00063495&  _acct=C000069490&  _version=1&  _userid=6211566&  md5=72884b0c8e27e2ecbbb8b86bdee26c1a')" style="cursor:pointer  View the MathML source" alt="Click to view the MathML source" title="Click to view the MathML source">View the MathML sourceels-cdn  com/content/image/1-s2  0-S0006349505727405-si14  " target="_blank">gif">  peptide concentration in the water phase near the surface of the lipid phase  _method=retrieve&  _eid=1-s2  0-S0006349505727405&  _mathId=si15  gif&  _pii=S0006349505727405&  _issn=00063495&  _acct=C000069490&  _version=1&  _userid=6211566&  md5=10327304e98ccc8fb622edb79f3a520a')" style="cursor:pointer  CP" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">CP  peptide concentration in the bulk solution  e  elemental charge (positive)  [E]  molar concentration of aqueous enzyme solution  _method=retrieve&  _eid=1-s2  0-S0006349505727405&  _mathId=si16  gif&  _pii=S0006349505727405&  _issn=00063495&  _acct=C000069490&  _version=1&  _userid=6211566&  md5=4d8a2b6b07d8e92b13824f18e1f1894d')" style="cursor:pointer  [EB]" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">[EB]  molar concentration of total enzyme bound to the lipid phase  _method=retrieve&  _eid=1-s2  0-S0006349505727405&  _mathId=si17  gif&  _pii=S0006349505727405&  _issn=00063495&  _acct=C000069490&  _version=1&  _userid=6211566&  md5=9e96f62c328d0703d57804b0281ebb08')" style="cursor:pointer  [ES]" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">[ES]  molar concentration of ES in the domain phase  _method=retrieve&  _eid=1-s2  0-S0006349505727405&  _mathId=si18  gif&  _pii=S0006349505727405&  _issn=00063495&  _acct=C000069490&  _version=1&  _userid=6211566&  md5=4427b4b20929f9f61bdd5ce36e1d8c71')" style="cursor:pointer  [ESS]" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">[ESS]  molar concentration of ESS in the domain phase  _method=retrieve&  _eid=1-s2  0-S0006349505727405&  _mathId=si19  gif&  _pii=S0006349505727405&  _issn=00063495&  _acct=C000069490&  _version=1&  _userid=6211566&  md5=a8771bb0783359582a6adeb79258ab5e')" style="cursor:pointer  ES" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">ES  mole fraction of ES in the domain phase  _method=retrieve&  _eid=1-s2  0-S0006349505727405&  _mathId=si20  gif&  _pii=S0006349505727405&  _issn=00063495&  _acct=C000069490&  _version=1&  _userid=6211566&  md5=a88ad8aa5fb450b349e0f35ff0a789f8')" style="cursor:pointer  ESS" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">ESS  mole fraction of ESS in the domain phase  _method=retrieve&  _eid=1-s2  0-S0006349505727405&  _mathId=si21  gif&  _pii=S0006349505727405&  _issn=00063495&  _acct=C000069490&  _version=1&  _userid=6211566&  md5=ab9179daa27ce94fde6d15a4d0884a5a')" style="cursor:pointer  [ES]" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">[ES]  molar concentration of E′S in the nondomain phase  _method=retrieve&  _eid=1-s2  0-S0006349505727405&  _mathId=si22  gif&  _pii=S0006349505727405&  _issn=00063495&  _acct=C000069490&  _version=1&  _userid=6211566&  md5=4a801a8932bdec8c366f4870083f25ad')" style="cursor:pointer  [ESS]" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">[ESS]  molar concentration of E′SS in the nondomain phase  _method=retrieve&  _eid=1-s2  0-S0006349505727405&  _mathId=si23  gif&  _pii=S0006349505727405&  _issn=00063495&  _acct=C000069490&  _version=1&  _userid=6211566&  md5=7f16fb6cc4b1457a24d3f784b770f039')" style="cursor:pointer  ES" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">ES  mole fraction of E′S in the nondomain phase  _method=retrieve&  _eid=1-s2  0-S0006349505727405&  _mathId=si24  gif&  _pii=S0006349505727405&  _issn=00063495&  _acct=C000069490&  _version=1&  _userid=6211566&  md5=d34cbb94af86e7b202e70f03741a6483')" style="cursor:pointer  ESS" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">ESS  mole fraction of E′SS in the nondomain phase  _method=retrieve&  _eid=1-s2  0-S0006349505727405&  _mathId=si25  gif&  _pii=S0006349505727405&  _issn=00063495&  _acct=C000069490&  _version=1&  _userid=6211566&  md5=71999af0a979fb55745ba3aace22927b')" style="cursor:pointer  ET" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">ET  total enzyme concentration  f  mole fraction of substrate S in a homogeneous interface of area Ah  _method=retrieve&  _eid=1-s2  0-S0006349505727405&  _mathId=si26  gif&  _pii=S0006349505727405&  _issn=00063495&  _acct=C000069490&  _version=1&  _userid=6211566&  md5=ed19d44499fb2cb9cec7dff3127e414c')" style="cursor:pointer  fd" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">fd  substrate (S) mole fraction in the domain phase  _method=retrieve&  _eid=1-s2  0-S0006349505727405&  _mathId=si27  gif&  _pii=S0006349505727405&  _issn=00063495&  _acct=C000069490&  _version=1&  _userid=6211566&  md5=326aa9d6dfd36b1c278ae611b83304d0')" style="cursor:pointer  fn" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">fn  substrate mole fraction in the nondomain phase  _method=retrieve&  _eid=1-s2  0-S0006349505727405&  _mathId=si28  gif&  _pii=S0006349505727405&  _issn=00063495&  _acct=C000069490&  _version=1&  _userid=6211566&  md5=07fe66612a76119b4fa8de1a3c869ca6')" style="cursor:pointer  fi" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">fi  total initial substrate mole fraction in the i phase  _method=retrieve&  _eid=1-s2  0-S0006349505727405&  _mathId=si29  gif&  _pii=S0006349505727405&  _issn=00063495&  _acct=C000069490&  _version=1&  _userid=6211566&  md5=6efc335a08bb9c6e902679ba373c7523')" style="cursor:pointer  View the MathML source" alt="Click to view the MathML source" title="Click to view the MathML source">View the MathML sourceels-cdn  com/content/image/1-s2  0-S0006349505727405-si29  " target="_blank">gif">  free substrate mole fraction in i phase  _method=retrieve&  _eid=1-s2  0-S0006349505727405&  _mathId=si30  gif&  _pii=S0006349505727405&  _issn=00063495&  _acct=C000069490&  _version=1&  _userid=6211566&  md5=6c9f8c9cab24da1f98ed3608f59e97ed')" style="cursor:pointer  View the MathML source" alt="Click to view the MathML source" title="Click to view the MathML source">View the MathML sourceels-cdn  com/content/image/1-s2  0-S0006349505727405-si30  " target="_blank">gif">  peptide (P) bound substrate mole fraction in i phase  _method=retrieve&  _eid=1-s2  0-S0006349505727405&  _mathId=si31  gif&  _pii=S0006349505727405&  _issn=00063495&  _acct=C000069490&  _version=1&  _userid=6211566&  md5=038da0f2b5ba9638a2843caf55d57617')" style="cursor:pointer  View the MathML source" alt="Click to view the MathML source" title="Click to view the MathML source">View the MathML sourceels-cdn  com/content/image/1-s2  0-S0006349505727405-si31  " target="_blank">gif">  average of the square of the substrate mole fraction weighted by the phase area  _method=retrieve&  _eid=1-s2  0-S0006349505727405&  _mathId=si32  gif&  _pii=S0006349505727405&  _issn=00063495&  _acct=C000069490&  _version=1&  _userid=6211566&  md5=80ab59a9d39f422e8016b72e6332f9bf')" style="cursor:pointer  View the MathML source" alt="Click to view the MathML source" title="Click to view the MathML source">View the MathML sourceels-cdn  com/content/image/1-s2  0-S0006349505727405-si32  " target="_blank">gif">  average of the substrate mole fraction not bound to the peptide  weighted by the phase area  in the i phase  _method=retrieve&  _eid=1-s2  0-S0006349505727405&  _mathId=si33  gif&  _pii=S0006349505727405&  _issn=00063495&  _acct=C000069490&  _version=1&  _userid=6211566&  md5=99d98382d5f908fbc6a9b4042f2d51d8')" style="cursor:pointer  View the MathML source" alt="Click to view the MathML source" title="Click to view the MathML source">View the MathML sourceels-cdn  com/content/image/1-s2  0-S0006349505727405-si33  " target="_blank">gif">  average of the substrate square mole fraction not bound to the peptide  weighted by the phase area  in the i phase  F  Faraday constant  i  corresponding to the phase i (i = d for the domain phase and i = n for the nondomain phase)  _method=retrieve&  _eid=1-s2  0-S0006349505727405&  _mathId=si34  gif&  _pii=S0006349505727405&  _issn=00063495&  _acct=C000069490&  _version=1&  _userid=6211566&  md5=7b597d451c2b97df31ff0b2a043db600')" style="cursor:pointer  k" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">k  ?k  ?k1  ?k1  ?k?1  ?k?1  ?k2  ?k2  ?k?2  ?k?2  (each of these individual kinetic constants defined as shown in Schemes 1 and 2)  _method=retrieve&  _eid=1-s2  0-S0006349505727405&  _mathId=si35  gif&  _pii=S0006349505727405&  _issn=00063495&  _acct=C000069490&  _version=1&  _userid=6211566&  md5=36d3e470b6c90714a7d9754353d2950c')" style="cursor:pointer  km≡((k?2+k)/k2)" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">km≡((k?2+k)/k2)  interfacial Michaelis constant in the domain phase (dimensionless)  _method=retrieve&  _eid=1-s2  0-S0006349505727405&  _mathId=si36  gif&  _pii=S0006349505727405&  _issn=00063495&  _acct=C000069490&  _version=1&  _userid=6211566&  md5=fd3ee7fda1764b29bafa7c101ff77eaf')" style="cursor:pointer  km≡((k?2+k)/k2)" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">km≡((k?2+k)/k2)  interfacial Michaelis constant in the nondomain phase (dimensionless)  _method=retrieve&  _eid=1-s2  0-S0006349505727405&  _mathId=si37  gif&  _pii=S0006349505727405&  _issn=00063495&  _acct=C000069490&  _version=1&  _userid=6211566&  md5=5b7381a14ef7cfc566851025c744cc97')" style="cursor:pointer  ks≡(k?1/k1)" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">ks≡(k?1/k1)  dissociation constant in the domain phase (mol/vol)  _method=retrieve&  _eid=1-s2  0-S0006349505727405&  _mathId=si38  gif&  _pii=S0006349505727405&  _issn=00063495&  _acct=C000069490&  _version=1&  _userid=6211566&  md5=47f870a964792e07e9d950cf69fa8f52')" style="cursor:pointer  ks≡(k?1/k1)" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">ks≡(k?1/k1)  dissociation constant in the nondomain phase (mol/vol)  _method=retrieve&  _eid=1-s2  0-S0006349505727405&  _mathId=si39  gif&  _pii=S0006349505727405&  _issn=00063495&  _acct=C000069490&  _version=1&  _userid=6211566&  md5=edc861e35f0a466796f03349cf26d65e')" style="cursor:pointer  KP" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">KP  intrinsic binding constant of substrate binding to a peptide (vol/mol)  L  total lipid concentration  _method=retrieve&  _eid=1-s2  0-S0006349505727405&  _mathId=si40  gif&  _pii=S0006349505727405&  _issn=00063495&  _acct=C000069490&  _version=1&  _userid=6211566&  md5=f70a0a8eb6725397c7e04d0e13c3bdc5')" style="cursor:pointer  NA" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">NA  Avogadro's number  _method=retrieve&  _eid=1-s2  0-S0006349505727405&  _mathId=si41  gif&  _pii=S0006349505727405&  _issn=00063495&  _acct=C000069490&  _version=1&  _userid=6211566&  md5=973d90ab18185eff9f6ae93be138c29e')" style="cursor:pointer  Ni" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">Ni  mol of lipids in the i phase  [P]  total product molar concentration from the enzymatic reaction (mol/vol)  R  gas constant  T  temperature (°K)  V  total rate of product formation (mol/(vol time))  z  valence of the ionic multivalent peptide  Greek symbols: ?0  permittivity of free space  ?r  dielectric constant of the solution  _method=retrieve&  _eid=1-s2  0-S0006349505727405&  _mathId=si42  gif&  _pii=S0006349505727405&  _issn=00063495&  _acct=C000069490&  _version=1&  _userid=6211566&  md5=c65af5a62e77127261b675d119328fe8')" style="cursor:pointer  θi" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">θi  substrate fraction that is bound to the peptide in the i phase  _method=retrieve&  _eid=1-s2  0-S0006349505727405&  _mathId=si43  gif&  _pii=S0006349505727405&  _issn=00063495&  _acct=C000069490&  _version=1&  _userid=6211566&  md5=5c3f7364900229eb088cc44bb73d2bb2')" style="cursor:pointer  σi" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">σi  surface charge density in i phase  _method=retrieve&  _eid=1-s2  0-S0006349505727405&  _mathId=si44  gif&  _pii=S0006349505727405&  _issn=00063495&  _acct=C000069490&  _version=1&  _userid=6211566&  md5=a0f40d4c52a52522847800384418a893')" style="cursor:pointer  ψi" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">ψi  membrane potential in the i phase
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