Crosslinked gels comprising polyalkyleneimines, and their uses as medical devices
First Claim
1. A method of sealing a wound of a patient, comprising the steps of:
- exposing an effective amount of a polymerization agent to a compound of formula III to form an adhesive composition, and applying said adhesive composition to a wound of a patient, wherein said polymerization agent is a compound of formula Ia or formula Ib; and
formula Ia is represented by;
wherein, R50 independently for each occurrence is an electron pair or a substitutent selected from the group consisting of H, alkyl, and aralkyl;
when an instance of R50 represents a substitutent a pharmaceutically acceptable counterion is present;
R1 and R2 represent independently for each occurrence A1, alkyl, alkenyl, alkynyl, —
C(O)-alkyl, —
C(O)O[C(R4)2]dN(R5)2, —
C(O)N(R5) [C(R4)2]dN(R5)2, —
C(O)N(R5)2, —
X1—
[C(R4)2]dN(R5)C(O)N(R5)2, —
X1—
[C(R4)2]dN(R5)C(O)N(R5)2, —
X1—
[C(R4)2]dOC(O)CH2C(O)-alkyl, or a carbohydrate radical;
R3 represents independently for each occurrence H or R4 represents independently for each occurrence H, alkyl, alkoxyl, halogen, aryl, or aralkyl;
R5 represents independently for each occurrence H, alkyl, aryl, or aralkyl;
R6 represents independently for each occurrence H or R7 represents independently for each occurrence H or R8 represents independently for each occurrence H or R9 represents independently for each occurrence H or R10 represents independently for each occurrence H or (C1-C3)alkyl;
X1 represents independently for each occurrence a bond or —
C(O)—
;
A1 represents independently for each occurrence H, —
C(O)NH2, —
X1—
[C(R4)2]dN(R5)C(O)NH2, d represents independently for each occurrence 1, 2, 3, 4, 5, 6, 7, 8, 9 or 10;
n represents independently for each occurrence 1, 2, 3, or 4;
p represents independently for each occurrence 1, 2, 3, 4, or 5;
x represents independently for each occurrence 1, 2, 3, 4, or 5;
y is an integer in the range of 1 to about 40,000;
z represents independently for each occurrence an integer in the range of 0 to about 20,000; and
provided at least about 5% of R1 is A1, and the sum of y and z is less than about 50,000;
formula Ib is represented by;
wherein Q represents independently for each occurrence R50 independently for each occurrence is an electron pair or a substitutent selected from the group consisting of H, alkyl, and aralkyl;
when an instance of R50 represents a substitutent a pharmaceutically acceptable counterion is present;
A1 represents independently for each occurrence —
CO2R4;
A2 represents independently for each occurrence H or —
CO2R4;
A3 represents independently for each occurrence —
N(R1)(R50)(R3);
A4 represents independently for each occurrence H, alkyl, aryl, —
CO2R4, or —
OC(O)R4;
R1 represents independently for each occurrence H, alkyl or polymerization initiator;
R2 represents independently for each occurrence H, alkyl aryl, or aralkyl;
R3 represents independently for each occurrence H, alkyl, aryl, aralkyl, acyl, —
C(O)NH2, —
X1—
[C(R5)2]dN(R5)C(O)NH2, R4 represents independently for each occurrence H, alkyl, aryl, aralkyl, R5 represents independently for each occurrence H or alkyl;
X1 represents independently for each occurrence a bond or —
C(O)—
;
d represents independently for each occurrence 1, 2, 3, 4, 5, 6, 7, 8, 9 or 10;
p represents independently for each occurrence 1, 2, 3, 4, or 5; and
q is an integer from about 50 to about 100,000; and
formula III is represented by;
wherein R1-III represents independently for each occurrence —
(C(R2-III)2)fC(O)R3-III, —
C(O)(C(R2-III)2)kC(O)R3-III, —
(C(R2-III)2)fR4-III, —
C(O)(C(R2-III)2)kR4-III, —
(C(R2-III)2)fC(O)N(R5-III)-[A4-III]t—
C(O)—
R3-III, —
(C(R2-III)2)fCO2-[A4-III]t—
C(O)—
R3-III, R2-III represents independently for each occurrence H, alkyl, or halogen;
R3-III represents independently for each occurrence H, alkyl, fluoroalkyl, chloroalkyl, —
CH2NO2, R4-III represents independently for each occurrence —
N═
C═
O, —
N═
C═
S, R5-III represents independently for each occurrence H, alkyl, or aralkyl;
R6-III represents independently for each occurrence H or (C1-C6)alkyl;
R7-III represents independently for each occurrence —
CO2H, —
(C(R6-III)2)pN═
C═
O, R8-III represents independently for each occurrence A1-III and A3-III represent independently for each occurrence alkyl diradical, heteroalkyl diradical, cycloalkyl diradical, heterocycloalkyl diradical, alkenyl diradical, alkynyl diradical, aryl diradical, heteroaryl diradical, aralkyl diradical, or heteroaralkyl diradical;
A2-III represents independently for each occurrence a bond, alkyl diradical, heteroalkyl diradical, cycloalkyl diradical, heterocycloalkyl diradical, alkenyl diradical, alkynyl diradical, aryl diradical, heteroaryl diradical, aralkyl diradical, or heteroaralkyl diradical;
A4-III represents independently for each occurrence an alkyl diradical, cycloalkyl diradical, aryl diradical, or aralkyl diradical;
B represents independently for each occurrence alkyl diradical, heteroalkyl diradical, or X1-III represents independently for each occurrence O or —
N(R5-III)—
;
m represents independently for each occurrence 1, 2, 3, 4, or 5 in accordance with the rules of valence;
p represents independently for each occurrence 0, 1, 2, 3, 4, or 5;
t represents independently for each occurrence 1, 2, 3 or 4;
v represents independently for each occurrence 2, 3, or 4;
w is independently for each occurrence an integer in the range of about 5 to 1000, inclusive; and
f and k each are independently selected for each occurrence from the group consisting of 1-25 inclusive.
3 Assignments
0 Petitions
Accused Products
Abstract
One aspect of the present invention generally relates to methods of sealing a wound or tissue plane or filling a void splace. In a preferred embodiment, the wound is an ophthalmic, pleural or dural wound. In certain instances, the compositions used to seal the wound or tissue plane comprises a polyalkyleneamine. In a preferred embodiment, the polyalkyleneamine is polyethyleneimine. Treatment of the polyethyleneimine with a cross-linking reagent causes the polyethyleneimine polymers to polymerize forming a seal. In certain instances, the cross-linking reagent is a polyethylene glycol having reactive terminal groups. In certain instances, the reactive terminal groups are activated esters, such as N-hydroxy succinimide ester. In certain instances, the reactive terminal groups are isocyanates. In certain instances, the polyethyleneimine has a lysine, cysteine, isocysteine or other nucleophilic group attached to the periphery of the polymer. In certain instances, the polyethyleneimine is mixed with a second polymer, such as a polyethylene glycol containing nucleophilic groups. In certain instances, the compositions used to seal the wound or tissue plane are formed by reacting a polyalkyleneamine bearing electrophilic groups with a cross-linking reagent containing nucleophilic groups. In certain instances, the electrophilic groups on the polyalkyleneamine are activated esters, such as N-hydroxy succinimide ester. In certain instances, the compositions used to seal the wound or tissue plane are formed by reacting a polyalkyleneamine bearing photopolymerizable groups with ultraviolet or visibile light. Compositions used to seal the wound which contain PEI or a derivative of PEI are found to adhere tightly to the tissue. Other aspects of the present invention relate to methods of filling a void of a patient or adhering tissue. In certain instances, the methods use a polyalkyleneamine. In a preferred embodiment, the polyalkyleneamine is polyethyleneimine. Another aspect of the present invention relates to a polymeric composition formed by exposing a polyalkyleneamine to an activated polyalkylene glycol. In certain instances, the composition is attached to mammalian tissue.
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Citations
18 Claims
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1. A method of sealing a wound of a patient, comprising the steps of:
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exposing an effective amount of a polymerization agent to a compound of formula III to form an adhesive composition, and applying said adhesive composition to a wound of a patient, wherein said polymerization agent is a compound of formula Ia or formula Ib; and
formula Ia is represented by;
wherein, R50 independently for each occurrence is an electron pair or a substitutent selected from the group consisting of H, alkyl, and aralkyl;
when an instance of R50 represents a substitutent a pharmaceutically acceptable counterion is present;
R1 and R2 represent independently for each occurrence A1, alkyl, alkenyl, alkynyl, —
C(O)-alkyl, —
C(O)O[C(R4)2]dN(R5)2, —
C(O)N(R5) [C(R4)2]dN(R5)2, —
C(O)N(R5)2, —
X1—
[C(R4)2]dN(R5)C(O)N(R5)2, —
X1—
[C(R4)2]dN(R5)C(O)N(R5)2, —
X1—
[C(R4)2]dOC(O)CH2C(O)-alkyl,or a carbohydrate radical;
R3 represents independently for each occurrence H or R4 represents independently for each occurrence H, alkyl, alkoxyl, halogen, aryl, or aralkyl;
R5 represents independently for each occurrence H, alkyl, aryl, or aralkyl;
R6 represents independently for each occurrence H or R7 represents independently for each occurrence H or R8 represents independently for each occurrence H or R9 represents independently for each occurrence H or R10 represents independently for each occurrence H or (C1-C3)alkyl;
X1 represents independently for each occurrence a bond or —
C(O)—
;
A1 represents independently for each occurrence H, —
C(O)NH2, —
X1—
[C(R4)2]dN(R5)C(O)NH2,d represents independently for each occurrence 1, 2, 3, 4, 5, 6, 7, 8, 9 or 10;
n represents independently for each occurrence 1, 2, 3, or 4;
p represents independently for each occurrence 1, 2, 3, 4, or 5;
x represents independently for each occurrence 1, 2, 3, 4, or 5;
y is an integer in the range of 1 to about 40,000;
z represents independently for each occurrence an integer in the range of 0 to about 20,000; and
provided at least about 5% of R1 is A1, and the sum of y and z is less than about 50,000;
formula Ib is represented by;
wherein Q represents independently for each occurrence R50 independently for each occurrence is an electron pair or a substitutent selected from the group consisting of H, alkyl, and aralkyl;
when an instance of R50 represents a substitutent a pharmaceutically acceptable counterion is present;
A1 represents independently for each occurrence —
CO2R4;
A2 represents independently for each occurrence H or —
CO2R4;
A3 represents independently for each occurrence —
N(R1)(R50)(R3);
A4 represents independently for each occurrence H, alkyl, aryl, —
CO2R4, or —
OC(O)R4;
R1 represents independently for each occurrence H, alkyl or polymerization initiator;
R2 represents independently for each occurrence H, alkyl aryl, or aralkyl;
R3 represents independently for each occurrence H, alkyl, aryl, aralkyl, acyl, —
C(O)NH2, —
X1—
[C(R5)2]dN(R5)C(O)NH2,R4 represents independently for each occurrence H, alkyl, aryl, aralkyl, R5 represents independently for each occurrence H or alkyl;
X1 represents independently for each occurrence a bond or —
C(O)—
;
d represents independently for each occurrence 1, 2, 3, 4, 5, 6, 7, 8, 9 or 10;
p represents independently for each occurrence 1, 2, 3, 4, or 5; and
q is an integer from about 50 to about 100,000; and
formula III is represented by;
wherein R1-III represents independently for each occurrence —
(C(R2-III)2)fC(O)R3-III, —
C(O)(C(R2-III)2)kC(O)R3-III, —
(C(R2-III)2)fR4-III, —
C(O)(C(R2-III)2)kR4-III, —
(C(R2-III)2)fC(O)N(R5-III)-[A4-III]t—
C(O)—
R3-III, —
(C(R2-III)2)fCO2-[A4-III]t—
C(O)—
R3-III,R2-III represents independently for each occurrence H, alkyl, or halogen;
R3-III represents independently for each occurrence H, alkyl, fluoroalkyl, chloroalkyl, —
CH2NO2,R4-III represents independently for each occurrence —
N═
C═
O, —
N═
C═
S,R5-III represents independently for each occurrence H, alkyl, or aralkyl;
R6-III represents independently for each occurrence H or (C1-C6)alkyl;
R7-III represents independently for each occurrence —
CO2H, —
(C(R6-III)2)pN═
C═
O,R8-III represents independently for each occurrence A1-III and A3-III represent independently for each occurrence alkyl diradical, heteroalkyl diradical, cycloalkyl diradical, heterocycloalkyl diradical, alkenyl diradical, alkynyl diradical, aryl diradical, heteroaryl diradical, aralkyl diradical, or heteroaralkyl diradical;
A2-III represents independently for each occurrence a bond, alkyl diradical, heteroalkyl diradical, cycloalkyl diradical, heterocycloalkyl diradical, alkenyl diradical, alkynyl diradical, aryl diradical, heteroaryl diradical, aralkyl diradical, or heteroaralkyl diradical;
A4-III represents independently for each occurrence an alkyl diradical, cycloalkyl diradical, aryl diradical, or aralkyl diradical;
B represents independently for each occurrence alkyl diradical, heteroalkyl diradical, or X1-III represents independently for each occurrence O or —
N(R5-III)—
;
m represents independently for each occurrence 1, 2, 3, 4, or 5 in accordance with the rules of valence;
p represents independently for each occurrence 0, 1, 2, 3, 4, or 5;
t represents independently for each occurrence 1, 2, 3 or 4;
v represents independently for each occurrence 2, 3, or 4;
w is independently for each occurrence an integer in the range of about 5 to 1000, inclusive; and
f and k each are independently selected for each occurrence from the group consisting of 1-25 inclusive. - View Dependent Claims (4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18)
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2. A method of augmenting soft tissue or filling a void of a patient, comprising the steps of:
-
exposing an effective amount of a polymerization agent to a compound of formula III to form an adhesive composition, and applying said adhesive composition to soft tissue or a void of a patient, wherein said polymerization agent is a compound of formula Ia or formula Ib; and
formula Ia is represented by;
wherein, R50 independently for each occurrence is an electron pair or a substitutent selected from the group consisting of H, alkyl, and aralkyl;
when an instance of R50 represents a substitutent a pharmaceutically acceptable counterion is present;
R1 and R2 represent independently for each occurrence A1, alkyl, alkenyl, alkynyl, —
C(O)-alkyl, —
C(O)O[C(R4)2]dN(R5)2, —
C(O)N(R5)[C(R4)2]dN(R5)2, —
C(O)N(R5)2, —
X1—
[C(R4)2]dN(R5)C(O)N(R5)2, —
X1—
[C(R4)2]dN(R5)C(O)N(R5)2, —
X1—
[C(R4)2]dOC(O)CH2C(O)-alkyl,or a carbohydrate radical;
R3 represents independently for each occurrence H or R4 represents independently for each occurrence H, alkyl, alkoxyl, halogen, aryl, or aralkyl;
R5 represents independently for each occurrence H, alkyl, aryl, or aralkyl;
R6 represents independently for each occurrence H or R7 represents independently for each occurrence H or R8 represents independently for each occurrence H or R9 represents independently for each occurrence H or R10 represents independently for each occurrence H or (C1-C3)alkyl;
X1 represents independently for each occurrence a bond or —
C(O)—
;
A1 represents independently for each occurrence H, —
C(O)NH2, —
X1—
[C(R4)2]dN(R5)C(O)NH2,d represents independently for each occurrence 1, 2, 3, 4, 5, 6, 7, 8, 9, or 10;
n represents independently for each occurrence 1, 2, 3, or 4;
p represents independently for each occurrence 1, 2, 3, 4, or 5;
x represents independently for each occurrence 1, 2, 3, 4, or 5;
y is an integer in the range of 1 to about 40,000;
z represents independently for each occurrence an integer in the range of 0 to about 20,000; and
provided at least about 5% of R1 is A1, and the sum of y and z is less than about 50,000;
formula Ib is represented by;
wherein Q represents independently for each occurrence R50 independently for each occurrence is an electron pair or a substitutent selected from the group consisting of H, alkyl, and aralkyl;
when an instance of R50 represents a substitutent a pharmaceutically acceptable counterion is present;
A1 represents independently for each occurrence —
CO2R4;
A2 represents independently for each occurrence H or —
CO2R4;
A3 represents independently for each occurrence —
N(R1)(R50)(R3);
A4 represents independently for each occurrence H, alkyl, aryl, —
CO2R4, or —
OC(O)R4;
R1 represents independently for each occurrence H, alkyl or polymerization initiator;
R2 represents independently for each occurrence H, alkyd aryl, or aralkyl;
R3 represents independently for each occurrence H, alkyl, aryl, aralkyl, acyl, —
C(O)NH2, —
X1—
[C(R5)2]dN(R5)C(O)NH2,R4 represents independently for each occurrence H, alkyl, aryl, aralkyl, R5 represents independently for each occurrence H or alkyl;
X1 represents independently for each occurrence a bond or —
C(O)—
;
d represents independently for each occurrence 1, 2, 3, 4, 5, 6, 7, 8, 9, or 10;
p represents independently for each occurrence 1, 2, 3, 4, or 5; and
q is an integer from about 50 to about 100,000; and
formula III is represented by;
wherein R1-III represents independently for each occurrence —
(C(R2-III)2)fC(O)R3-III, —
C(O)(C(R2-III)2)kC(O)R3-III, —
(C(R2-III)2)fR4-III, —
C(O)(C(R2-III)2)kR4-III, —
(C(R2-III)2)fC(O)N(R5-III)-[A4-III]t—
C(O)—
R3-III, —
(C(R2-III)2)fCO2-[A4-III]t—
C(O)—
R3-III,R2-III represents independently for each occurrence H, alkyl, or halogen;
R3-III represents independently for each occurrence H, alkyl, fluoroalkyl, chloroalkyl, —
CH2NO2,R4-III represents independently for each occurrence —
N═
C═
O, —
N═
C═
S,R5-III represents independently for each occurrence H, alkyl, or aralkyl;
R6-III represents independently for each occurrence H or (C1-C6)alkyl;
R7-III represents independently for each occurrence —
CO2H, -(C(R6-III)2)pN═
C═
O,R8-III represents independently for each occurrence A1-III and A3-III represent independently for each occurrence alkyl diradical, heteroalkyl diradical, cycloalkyl diradical, heterocycloalkyl diradical, alkenyl diradical, alkynyl diradical, aryl diradical, heteroaryl diradical, aralkyl diradical, or heteroaralkyl diradical;
A2-III represents independently for each occurrence a bond, alkyl diradical, heteroalkyl diradical, cycloalkyl diradical, heterocycloalkyl diradical, alkenyl diradical, alkynyl diradical, aryl diradical, heteroaryl diradical, aralkyl diradical, or heteroaralkyl diradical;
A4-III represents independently for each occurrence an alkyl diradical, cycloalkyl diradical, aryl diradical, or aralkyl diradical;
B represents independently for each occurrence alkyl diradical, heteroalkyl diradical, or X1-III represents independently for each occurrence O or —
N(R5-III)—
;
m represents independently for each occurrence 1, 2, 3, 4, or 5 in accordance with the rules of valence;
p represents independently for each occurrence 0, 1, 2, 3, 4, or 5;
t represents independently for each occurrence 1, 2, 3 or 4;
v represents independently for each occurrence 2, 3, or 4;
w is independently for each occurrence an integer in the range of about 5 to 1000, inclusive; and
f and k each are independently selected for each occurrence from the group consisting of 1-25 inclusive.
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3. Another aspect of the present invention relates to a method of adhering tissue of a patient, comprising the steps of:
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exposing an effective amount of a polymerization agent to a compound of formula III to form an adhesive composition, applying said adhesive composition to a first tissue of a patient to form an adhesive tissue, and contacting said adhesive tissue with a second tissue of a patient, wherein said polymerization agent is a compound of formula Ia or formula Ib; and
formula Ia is represented by;
wherein, R50 independently for each occurrence is an electron pair or a substitutent selected from the group consisting of H, alkyl, and aralkyl;
when an instance of R50 represents a substitutent a pharmaceutically acceptable counterion is present;
R1 and R2 represent independently for each occurrence A1, alkyl, alkenyl, alkynyl, —
C(O)-alkyl, —
C(O)O[C(R4)2]dN(R5)2, —
C(O)N(R5)[C(R4)2]dN(R5)2, —
C(O)N(R5)2, —
X1—
[C(R4)2]dN(R5)C(O)N(R5)2, —
X1—
[C(R4)2]dN(R5)C(O)N(R5)2, —
X1—
[C(R4)2]dOC(O)CH2C(O)-alkyl,or a carbohydrate radical;
R3 represents independently for each occurrence H or R4 represents independently for each occurrence H, alkyl, alkoxyl, halogen, aryl, or aralkyl;
R5 represents independently for each occurrence H, alkyl, aryl, or aralkyl;
R6 represents independently for each occurrence H or R7 represents independently for each occurrence H or R8 represents independently for each occurrence H or R9 represents independently for each occurrence H or R10 represents independently for each occurrence H or (C1-C3)alkyl;
X1 represents independently for each occurrence a bond or —
C(O)—
;
A1 represents independently for each occurrence H, —
C(O)NH2, —
X1—
[C(R4)2]dN(R5)C(O)NH2,d represents independently for each occurrence 1, 2, 3, 4, 5, 6, 7, 8, 9, or 10;
n represents independently for each occurrence 1, 2, 3, or 4;
p represents independently for each occurrence 1, 2, 3, 4, or 5;
x represents independently for each occurrence 1, 2, 3, 4, or 5;
y is an integer in the range of 1 to about 40,000;
z represents independently for each occurrence an integer in the range of 0 to about 20,000; and
provided at least about 5% of R1 is A1, and the sum of y and z is less than about 50,000;
formula Ib is represented by;
wherein Q represents independently for each occurrence R50 independently for each occurrence is an electron pair or a substitutent selected from the group consisting of H, alkyl, and aralkyl;
when an instance of R50 represents a substitutent a pharmaceutically acceptable counterion is present;
A1 represents independently for each occurrence —
CO2R4;
A2 represents independently for each occurrence H or —
CO2R4;
A3 represents independently for each occurrence —
N(R1)(R50)(R3);
A4 represents independently for each occurrence H, alkyl, aryl, —
CO2R4, or —
OC(O)R4;
R1 represents independently for each occurrence H, alkyl or polymerization initiator;
R2 represents independently for each occurrence H, alkyl aryl, or aralkyl;
R3 represents independently for each occurrence H, alkyl, aryl, aralkyl, acyl, —
C(O)NH2, —
X1—
[C(R5)2]dN(R5)C(O)NH2,R4 represents independently for each occurrence H, alkyl, aryl, aralkyl, R5 represents independently for each occurrence H or alkyl;
X1 represents independently for each occurrence a bond or —
C(O)—
;
d represents independently for each occurrence 1, 2, 3, 4, 5, 6, 7, 8, 9, or 10;
p represents independently for each occurrence 1, 2, 3, 4, or 5; and
q is an integer from about 50 to about 100,000; and
formula III is represented by;
wherein R1-III represents independently for each occurrence —
(C(R2-III)2)fC(O)R3-III, —
C(O)(C(R2-III)2)kC(O)R3-III, —
(C(R2-III)2)fR4-III, —
C(O)(C(R2-III)2)kR4-III, —
(C(R2-III)2)fC(O)N(R5-III)-[A4-III]t—
C(O)—
R3-III, —
(C(R2-III)2)fCO2-[A4-III]t—
C(O)—
R3-III,R2-III represents independently for each occurrence H, alkyl, or halogen;
R3-III represents independently for each occurrence H, alkyl, fluoroalkyl, chloroalkyl, —
CH2NO2,R4-III represents independently for each occurrence —
N═
C═
O, —
N═
C═
S,R5-III represents independently for each occurrence H, alkyl, or aralkyl;
R6-III represents independently for each occurrence H or (C1-C6)alkyl;
R7-III represents independently for each occurrence —
CO2H, —
(C(R6-III)2)pN═
C═
O,R8-III represents independently for each occurrence A1-III and A3-III represent independently for each occurrence alkyl diradical, heteroalkyl diradical, cycloalkyl diradical, heterocycloalkyl diradical, alkenyl diradical, alkynyl diradical, aryl diradical, heteroaryl diradical, aralkyl diradical, or heteroaralkyl diradical;
A2-III represents independently for each occurrence a bond, alkyl diradical, heteroalkyl diradical, cycloalkyl diradical, heterocycloalkyl diradical, alkenyl diradical, alkynyl diradical, aryl diradical, heteroaryl diradical, aralkyl diradical, or heteroaralkyl diradical;
A4-III represents independently for each occurrence an alkyl diradical, cycloalkyl diradical, aryl diradical, or aralkyl diradical;
B represents independently for each occurrence alkyl diradical, heteroalkyl diradical, or X1-III represents independently for each occurrence O or —
N(R5-III)—
;
m represents independently for each occurrence 1, 2, 3, 4, or 5 in accordance with the rules of valence;
p represents independently for each occurrence 0, 1, 2, 3, 4, or 5;
t represents independently for each occurrence 1, 2, 3 or 4;
v represents independently for each occurrence 2, 3, or 4;
w is independently for each occurrence an integer in the range of about 5 to 1000, inclusive; and
f and k each are independently selected for each occurrence from the group consisting of 1-25 inclusive.
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Specification