--- /dev/null
+# Copyright Yair Benita Y.Benita@pharm.uu.nl
+# Biopython (http://biopython.org) license applies
+
+"""Calculate isoelectric points of polypeptides using methods of Bjellqvist.
+
+pK values and the methos are taken from:
+
+* Bjellqvist, B.,Hughes, G.J., Pasquali, Ch., Paquet, N., Ravier, F., Sanchez,
+J.-Ch., Frutiger, S. & Hochstrasser, D.F.
+The focusing positions of polypeptides in immobilized pH gradients can be predicted
+from their amino acid sequences. Electrophoresis 1993, 14, 1023-1031.
+
+* Bjellqvist, B., Basse, B., Olsen, E. and Celis, J.E.
+Reference points for comparisons of two-dimensional maps of proteins from
+different human cell types defined in a pH scale where isoelectric points correlate
+with polypeptide compositions. Electrophoresis 1994, 15, 529-539.
+
+I designed the algorithm according to a note by David L. Tabb, available at:
+http://fields.scripps.edu/DTASelect/20010710-pI-Algorithm.pdf
+
+"""
+
+positive_pKs = { 'Nterm': 7.5, 'K': 10.0, 'R': 12.0, 'H':5.98 }
+negative_pKs = { 'Cterm': 3.55, 'D': 4.05, 'E': 4.45, 'C':9.0, 'Y':10.0 }
+pKcterminal= {'D':4.55, 'E':4.75}
+pKnterminal = {'A':7.59, 'M':7.0, 'S':6.93, 'P':8.36, 'T':6.82, 'V':7.44, 'E':7.7}
+charged_aas = ('K', 'R', 'H', 'D', 'E', 'C', 'Y')
+
+# access this module through ProtParam.ProteinAnalysis class.
+# first make a ProteinAnalysis object and then call its isoelectric_point method.
+class IsoelectricPoint:
+ def __init__(self, ProteinSequence, AminoAcidsContent):
+ self.sequence = ProteinSequence
+ self.charged_aas_content = self._select_charged(AminoAcidsContent)
+
+ # This function creates a dictionary with the contents of each charged aa,
+ # plus Cterm and Nterm.
+ def _select_charged(self, AminoAcidsContent):
+ charged = {}
+ for aa in charged_aas:
+ charged[aa] = float(AminoAcidsContent[aa])
+ charged['Nterm'] = 1.0
+ charged['Cterm'] = 1.0
+ return charged
+
+ #This function calculates the total charge of the protein at a given pH.
+ def _chargeR(self, pH, pos_pKs, neg_pKs):
+ PositiveCharge = 0.0
+ for aa, pK in pos_pKs.iteritems():
+ CR = 10**(pK-pH)
+ partial_charge = CR/(CR+1.0)
+ PositiveCharge += self.charged_aas_content[aa] * partial_charge
+
+ NegativeCharge = 0.0
+ for aa, pK in neg_pKs.iteritems():
+ CR = 10**(pH-pK)
+ partial_charge = CR/(CR+1.0)
+ NegativeCharge += self.charged_aas_content[aa] * partial_charge
+
+ return PositiveCharge - NegativeCharge
+
+ # This is the action function, it tries different pH until the charge of the protein is 0 (or close).
+ def pi(self):
+ pos_pKs = dict(positive_pKs)
+ neg_pKs = dict(negative_pKs)
+ nterm = self.sequence[0]
+ cterm = self.sequence[-1]
+ if nterm in pKnterminal.keys():
+ pos_pKs['Nterm'] = pKnterminal[nterm]
+ if cterm in pKcterminal.keys():
+ neg_pKs['Cterm'] = pKcterminal[cterm]
+
+ # Bracket between pH1 and pH2
+ pH = 7.0
+ Charge = self._chargeR(pH, pos_pKs, neg_pKs)
+ if Charge > 0.0:
+ pH1 = pH
+ Charge1 = Charge
+ while Charge1 > 0.0:
+ pH = pH1 + 1.0
+ Charge = self._chargeR(pH, pos_pKs, neg_pKs)
+ if Charge > 0.0:
+ pH1 = pH
+ Charge1 = Charge
+ else:
+ pH2 = pH
+ Charge2 = Charge
+ break
+ else:
+ pH2 = pH
+ Charge2 = Charge
+ while Charge2 < 0.0:
+ pH = pH2 - 1.0
+ Charge = self._chargeR(pH, pos_pKs, neg_pKs)
+ if Charge < 0.0:
+ pH2 = pH
+ Charge2 = Charge
+ else:
+ pH1 = pH
+ Charge1 = Charge
+ break
+
+ # Bisection
+ while pH2 - pH1 > 0.0001 and Charge!=0.0:
+ pH = (pH1 + pH2) / 2.0
+ Charge = self._chargeR(pH, pos_pKs, neg_pKs)
+ if Charge > 0.0:
+ pH1 = pH
+ Charge1 = Charge
+ else:
+ pH2 = pH
+ Charge2 = Charge
+
+ return pH