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result sql = Using a mathematical model to analyze the role of probiotics and inflammation in necrotizing enterocolitis.

Using a mathematical model to analyze the role of probiotics and inflammation in necrotizing enterocolitis.

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char = h;code = 104
char = ;code = 32
char = o;code = 111
char = f;code = 102
char = ;code = 32
char = i;code = 105
char = n;code = 110
char = f;code = 102
char = a;code = 97
char = n;code = 110
char = t;code = 116
char = s;code = 115
char = ;code = 32
char = s;code = 115
char = u;code = 117
char = f;code = 102
char = f;code = 102
char = e;code = 101
char = r;code = 114
char = i;code = 105
char = n;code = 110
char = g;code = 103
char = ;code = 32
char = f;code = 102
char = r;code = 114
char = o;code = 111
char = m;code = 109
char = ;code = 32
char = N;code = 78
char = E;code = 69
char = C;code = 67
char = .;code = 46
char = ;code = 32
char = A;code = 65
char = n;code = 110
char = ;code = 32
char = o;code = 111
char = r;code = 114
char = d;code = 100
char = i;code = 105
char = n;code = 110
char = a;code = 97
char = r;code = 114
char = y;code = 121
char = ;code = 32
char = d;code = 100
char = i;code = 105
char = f;code = 102
char = f;code = 102
char = e;code = 101
char = r;code = 114
char = e;code = 101
char = n;code = 110
char = t;code = 116
char = i;code = 105
char = a;code = 97
char = l;code = 108
char = ;code = 32
char = e;code = 101
char = q;code = 113
char = u;code = 117
char = a;code = 97
char = t;code = 116
char = i;code = 105
char = o;code = 111
char = n;code = 110
char = ;code = 32
char = m;code = 109
char = o;code = 111
char = d;code = 100
char = e;code = 101
char = l;code = 108
char = ;code = 32
char = i;code = 105
char = s;code = 115
char = ;code = 32
char = d;code = 100
char = e;code = 101
char = v;code = 118
char = e;code = 101
char = l;code = 108
char = o;code = 111
char = p;code = 112
char = e;code = 101
char = d;code = 100
char = ;code = 32
char = t;code = 116
char = h;code = 104
char = a;code = 97
char = t;code = 116
char = ;code = 32
char = t;code = 116
char = r;code = 114
char = a;code = 97
char = c;code = 99
char = k;code = 107
char = s;code = 115
char = ;code = 32
char = t;code = 116
char = h;code = 104
char = e;code = 101
char = ;code = 32
char = p;code = 112
char = o;code = 111
char = p;code = 112
char = u;code = 117
char = l;code = 108
char = a;code = 97
char = t;code = 116
char = i;code = 105
char = o;code = 111
char = n;code = 110
char = s;code = 115
char = ;code = 32
char = o;code = 111
char = f;code = 102
char = ;code = 32
char = p;code = 112
char = a;code = 97
char = t;code = 116
char = h;code = 104
char = o;code = 111
char = g;code = 103
char = e;code = 101
char = n;code = 110
char = i;code = 105
char = c;code = 99
char = ;code = 32
char = a;code = 97
char = n;code = 110
char = d;code = 100
char = ;code = 32
char = p;code = 112
char = r;code = 114
char = o;code = 111
char = b;code = 98
char = i;code = 105
char = o;code = 111
char = t;code = 116
char = i;code = 105
char = c;code = 99
char = ;code = 32
char = b;code = 98
char = a;code = 97
char = c;code = 99
char = t;code = 116
char = e;code = 101
char = r;code = 114
char = i;code = 105
char = a;code = 97
char = ;code = 32
char = i;code = 105
char = n;code = 110
char = ;code = 32
char = t;code = 116
char = h;code = 104
char = e;code = 101
char = ;code = 32
char = i;code = 105
char = n;code = 110
char = t;code = 116
char = e;code = 101
char = s;code = 115
char = t;code = 116
char = i;code = 105
char = n;code = 110
char = a;code = 97
char = l;code = 108
char = ;code = 32
char = l;code = 108
char = u;code = 117
char = m;code = 109
char = e;code = 101
char = n;code = 110
char = ;code = 32
char = a;code = 97
char = n;code = 110
char = d;code = 100
char = ;code = 32
char = i;code = 105
char = n;code = 110
char = ;code = 32
char = t;code = 116
char = h;code = 104
char = e;code = 101
char = ;code = 32
char = b;code = 98
char = l;code = 108
char = o;code = 111
char = o;code = 111
char = d;code = 100
char = /;code = 47
char = t;code = 116
char = i;code = 105
char = s;code = 115
char = s;code = 115
char = u;code = 117
char = e;code = 101
char = ;code = 32
char = r;code = 114
char = e;code = 101
char = g;code = 103
char = i;code = 105
char = o;code = 111
char = n;code = 110
char = .;code = 46
char = ;code = 32
char = T;code = 84
char = h;code = 104
char = e;code = 101
char = ;code = 32
char = p;code = 112
char = e;code = 101
char = r;code = 114
char = m;code = 109
char = e;code = 101
char = a;code = 97
char = b;code = 98
char = i;code = 105
char = l;code = 108
char = i;code = 105
char = t;code = 116
char = y;code = 121
char = ;code = 32
char = o;code = 111
char = f;code = 102
char = ;code = 32
char = t;code = 116
char = h;code = 104
char = e;code = 101
char = ;code = 32
char = i;code = 105
char = n;code = 110
char = t;code = 116
char = e;code = 101
char = s;code = 115
char = t;code = 116
char = i;code = 105
char = n;code = 110
char = a;code = 97
char = l;code = 108
char = ;code = 32
char = e;code = 101
char = p;code = 112
char = i;code = 105
char = t;code = 116
char = h;code = 104
char = e;code = 101
char = l;code = 108
char = i;code = 105
char = a;code = 97
char = l;code = 108
char = ;code = 32
char = l;code = 108
char = a;code = 97
char = y;code = 121
char = e;code = 101
char = r;code = 114
char = ;code = 32
char = i;code = 105
char = s;code = 115
char = ;code = 32
char = t;code = 116
char = r;code = 114
char = e;code = 101
char = a;code = 97
char = t;code = 116
char = e;code = 101
char = d;code = 100
char = ;code = 32
char = a;code = 97
char = s;code = 115
char = ;code = 32
char = a;code = 97
char = ;code = 32
char = v;code = 118
char = a;code = 97
char = r;code = 114
char = i;code = 105
char = a;code = 97
char = b;code = 98
char = l;code = 108
char = e;code = 101
char = ,;code = 44
char = ;code = 32
char = a;code = 97
char = n;code = 110
char = d;code = 100
char = ;code = 32
char = t;code = 116
char = h;code = 104
char = e;code = 101
char = ;code = 32
char = r;code = 114
char = o;code = 111
char = l;code = 108
char = e;code = 101
char = ;code = 32
char = o;code = 111
char = f;code = 102
char = ;code = 32
char = t;code = 116
char = h;code = 104
char = e;code = 101
char = ;code = 32
char = i;code = 105
char = n;code = 110
char = f;code = 102
char = l;code = 108
char = a;code = 97
char = m;code = 109
char = m;code = 109
char = a;code = 97
char = t;code = 116
char = o;code = 111
char = r;code = 114
char = y;code = 121
char = ;code = 32
char = r;code = 114
char = e;code = 101
char = s;code = 115
char = p;code = 112
char = o;code = 111
char = n;code = 110
char = s;code = 115
char = e;code = 101
char = ;code = 32
char = i;code = 105
char = s;code = 115
char = ;code = 32
char = i;code = 105
char = n;code = 110
char = c;code = 99
char = l;code = 108
char = u;code = 117
char = d;code = 100
char = e;code = 101
char = d;code = 100
char = .;code = 46
char = ;code = 32
char = T;code = 84
char = h;code = 104
char = e;code = 101
char = ;code = 32
char = m;code = 109
char = o;code = 111
char = d;code = 100
char = e;code = 101
char = l;code = 108
char = ;code = 32
char = p;code = 112
char = r;code = 114
char = e;code = 101
char = d;code = 100
char = i;code = 105
char = c;code = 99
char = t;code = 116
char = s;code = 115
char = ;code = 32
char = t;code = 116
char = h;code = 104
char = a;code = 97
char = t;code = 116
char = ;code = 32
char = i;code = 105
char = n;code = 110
char = ;code = 32
char = t;code = 116
char = h;code = 104
char = e;code = 101
char = ;code = 32
char = p;code = 112
char = r;code = 114
char = e;code = 101
char = s;code = 115
char = e;code = 101
char = n;code = 110
char = c;code = 99
char = e;code = 101
char = ;code = 32
char = o;code = 111
char = f;code = 102
char = ;code = 32
char = p;code = 112
char = r;code = 114
char = o;code = 111
char = b;code = 98
char = i;code = 105
char = o;code = 111
char = t;code = 116
char = i;code = 105
char = c;code = 99
char = s;code = 115
char = ;code = 32
char = h;code = 104
char = e;code = 101
char = a;code = 97
char = l;code = 108
char = t;code = 116
char = h;code = 104
char = ;code = 32
char = i;code = 105
char = s;code = 115
char = ;code = 32
char = r;code = 114
char = e;code = 101
char = s;code = 115
char = t;code = 116
char = o;code = 111
char = r;code = 114
char = e;code = 101
char = d;code = 100
char = ;code = 32
char = i;code = 105
char = n;code = 110
char = ;code = 32
char = m;code = 109
char = a;code = 97
char = n;code = 110
char = y;code = 121
char = ;code = 32
char = c;code = 99
char = a;code = 97
char = s;code = 115
char = e;code = 101
char = s;code = 115
char = ;code = 32
char = t;code = 116
char = h;code = 104
char = a;code = 97
char = t;code = 116
char = ;code = 32
char = w;code = 119
char = o;code = 111
char = u;code = 117
char = l;code = 108
char = d;code = 100
char = ;code = 32
char = h;code = 104
char = a;code = 97
char = v;code = 118
char = e;code = 101
char = ;code = 32
char = b;code = 98
char = e;code = 101
char = e;code = 101
char = n;code = 110
char = ;code = 32
char = o;code = 111
char = t;code = 116
char = h;code = 104
char = e;code = 101
char = r;code = 114
char = w;code = 119
char = i;code = 105
char = s;code = 115
char = e;code = 101
char = ;code = 32
char = p;code = 112
char = a;code = 97
char = t;code = 116
char = h;code = 104
char = o;code = 111
char = g;code = 103
char = e;code = 101
char = n;code = 110
char = i;code = 105
char = c;code = 99
char = .;code = 46
char = ;code = 32
char = T;code = 84
char = h;code = 104
char = e;code = 101
char = ;code = 32
char = t;code = 116
char = i;code = 105
char = m;code = 109
char = i;code = 105
char = n;code = 110
char = g;code = 103
char = ;code = 32
char = o;code = 111
char = f;code = 102
char = ;code = 32
char = p;code = 112
char = r;code = 114
char = o;code = 111
char = b;code = 98
char = i;code = 105
char = o;code = 111
char = t;code = 116
char = i;code = 105
char = c;code = 99
char = ;code = 32
char = a;code = 97
char = d;code = 100
char = m;code = 109
char = i;code = 105
char = n;code = 110
char = i;code = 105
char = s;code = 115
char = t;code = 116
char = r;code = 114
char = a;code = 97
char = t;code = 116
char = i;code = 105
char = o;code = 111
char = n;code = 110
char = ;code = 32
char = i;code = 105
char = s;code = 115
char = ;code = 32
char = a;code = 97
char = l;code = 108
char = s;code = 115
char = o;code = 111
char = ;code = 32
char = s;code = 115
char = h;code = 104
char = o;code = 111
char = w;code = 119
char = n;code = 110
char = ;code = 32
char = t;code = 116
char = o;code = 111
char = ;code = 32
char = d;code = 100
char = e;code = 101
char = t;code = 116
char = e;code = 101
char = r;code = 114
char = m;code = 109
char = i;code = 105
char = n;code = 110
char = e;code = 101
char = ;code = 32
char = w;code = 119
char = h;code = 104
char = e;code = 101
char = t;code = 116
char = h;code = 104
char = e;code = 101
char = r;code = 114
char = ;code = 32
char = o;code = 111
char = r;code = 114
char = ;code = 32
char = n;code = 110
char = o;code = 111
char = t;code = 116
char = ;code = 32
char = h;code = 104
char = e;code = 101
char = a;code = 97
char = l;code = 108
char = t;code = 116
char = h;code = 104
char = ;code = 32
char = i;code = 105
char = s;code = 115
char = ;code = 32
char = r;code = 114
char = e;code = 101
char = s;code = 115
char = t;code = 116
char = o;code = 111
char = r;code = 114
char = e;code = 101
char = d;code = 100
char = .;code = 46
char = ;code = 32
char = F;code = 70
char = i;code = 105
char = n;code = 110
char = a;code = 97
char = l;code = 108
char = l;code = 108
char = y;code = 121
char = ,;code = 44
char = ;code = 32
char = t;code = 116
char = h;code = 104
char = e;code = 101
char = ;code = 32
char = m;code = 109
char = o;code = 111
char = d;code = 100
char = e;code = 101
char = l;code = 108
char = ;code = 32
char = p;code = 112
char = r;code = 114
char = e;code = 101
char = d;code = 100
char = i;code = 105
char = c;code = 99
char = t;code = 116
char = s;code = 115
char = ;code = 32
char = t;code = 116
char = h;code = 104
char = a;code = 97
char = t;code = 116
char = ;code = 32
char = p;code = 112
char = r;code = 114
char = o;code = 111
char = b;code = 98
char = i;code = 105
char = o;code = 111
char = t;code = 116
char = i;code = 105
char = c;code = 99
char = s;code = 115
char = ;code = 32
char = m;code = 109
char = a;code = 97
char = y;code = 121
char = ;code = 32
char = b;code = 98
char = e;code = 101
char = ;code = 32
char = h;code = 104
char = a;code = 97
char = r;code = 114
char = m;code = 109
char = f;code = 102
char = u;code = 117
char = l;code = 108
char = ;code = 32
char = t;code = 116
char = o;code = 111
char = ;code = 32
char = t;code = 116
char = h;code = 104
char = e;code = 101
char = ;code = 32
char = N;code = 78
char = E;code = 69
char = C;code = 67
char = ;code = 32
char = p;code = 112
char = a;code = 97
char = t;code = 116
char = i;code = 105
char = e;code = 101
char = n;code = 110
char = t;code = 116
char = ;code = 32
char = u;code = 117
char = n;code = 110
char = d;code = 100
char = e;code = 101
char = r;code = 114
char = ;code = 32
char = v;code = 118
char = e;code = 101
char = r;code = 114
char = y;code = 121
char = ;code = 32
char = s;code = 115
char = p;code = 112
char = e;code = 101
char = c;code = 99
char = i;code = 105
char = f;code = 102
char = i;code = 105
char = c;code = 99
char = ;code = 32
char = c;code = 99
char = o;code = 111
char = n;code = 110
char = d;code = 100
char = i;code = 105
char = t;code = 116
char = i;code = 105
char = o;code = 111
char = n;code = 110
char = s;code = 115
char = ,;code = 44
char = ;code = 32
char = p;code = 112
char = e;code = 101
char = r;code = 114
char = h;code = 104
char = a;code = 97
char = p;code = 112
char = s;code = 115
char = ;code = 32
char = e;code = 101
char = x;code = 120
char = p;code = 112
char = l;code = 108
char = a;code = 97
char = i;code = 105
char = n;code = 110
char = i;code = 105
char = n;code = 110
char = g;code = 103
char = ;code = 32
char = t;code = 116
char = h;code = 104
char = e;code = 101
char = ;code = 32
char = d;code = 100
char = e;code = 101
char = t;code = 116
char = r;code = 114
char = i;code = 105
char = m;code = 109
char = e;code = 101
char = n;code = 110
char = t;code = 116
char = a;code = 97
char = l;code = 108
char = ;code = 32
char = e;code = 101
char = f;code = 102
char = f;code = 102
char = e;code = 101
char = c;code = 99
char = t;code = 116
char = s;code = 115
char = ;code = 32
char = o;code = 111
char = f;code = 102
char = ;code = 32
char = p;code = 112
char = r;code = 114
char = o;code = 111
char = b;code = 98
char = i;code = 105
char = o;code = 111
char = t;code = 116
char = i;code = 105
char = c;code = 99
char = s;code = 115
char = ;code = 32
char = o;code = 111
char = b;code = 98
char = s;code = 115
char = e;code = 101
char = r;code = 114
char = v;code = 118
char = e;code = 101
char = d;code = 100
char = ;code = 32
char = i;code = 105
char = n;code = 110
char = ;code = 32
char = s;code = 115
char = o;code = 111
char = m;code = 109
char = e;code = 101
char = ;code = 32
char = c;code = 99
char = l;code = 108
char = i;code = 105
char = n;code = 110
char = i;code = 105
char = c;code = 99
char = a;code = 97
char = l;code = 108
char = ;code = 32
char = s;code = 115
char = t;code = 116
char = u;code = 117
char = d;code = 100
char = i;code = 105
char = e;code = 101
char = s;code = 115
char = .;code = 46
char = <;code = 60
char = b;code = 98
char = r;code = 114
char = /;code = 47
char = >;code = 62
char = <;code = 60
char = b;code = 98
char = r;code = 114
char = /;code = 47
char = >;code = 62
char = <;code = 60
char = b;code = 98
char = >;code = 62
char = C;code = 67
char = O;code = 79
char = N;code = 78
char = C;code = 67
char = L;code = 76
char = U;code = 85
char = S;code = 83
char = I;code = 73
char = O;code = 79
char = N;code = 78
char = S;code = 83
char = /;code = 47
char = S;code = 83
char = I;code = 73
char = G;code = 71
char = N;code = 78
char = I;code = 73
char = F;code = 70
char = I;code = 73
char = C;code = 67
char = A;code = 65
char = N;code = 78
char = C;code = 67
char = E;code = 69
char = ;code = 32
char = :;code = 58
char = ;code = 32
char = <;code = 60
char = /;code = 47
char = b;code = 98
char = >;code = 62
char = T;code = 84
char = h;code = 104
char = e;code = 101
char = ;code = 32
char = r;code = 114
char = e;code = 101
char = d;code = 100
char = u;code = 117
char = c;code = 99
char = e;code = 101
char = d;code = 100
char = ,;code = 44
char = ;code = 32
char = e;code = 101
char = x;code = 120
char = p;code = 112
char = e;code = 101
char = r;code = 114
char = i;code = 105
char = m;code = 109
char = e;code = 101
char = n;code = 110
char = t;code = 116
char = a;code = 97
char = l;code = 108
char = l;code = 108
char = y;code = 121
char = ;code = 32
char = m;code = 109
char = o;code = 111
char = t;code = 116
char = i;code = 105
char = v;code = 118
char = a;code = 97
char = t;code = 116
char = e;code = 101
char = d;code = 100
char = ;code = 32
char = m;code = 109
char = a;code = 97
char = t;code = 116
char = h;code = 104
char = e;code = 101
char = m;code = 109
char = a;code = 97
char = t;code = 116
char = i;code = 105
char = c;code = 99
char = a;code = 97
char = l;code = 108
char = ;code = 32
char = m;code = 109
char = o;code = 111
char = d;code = 100
char = e;code = 101
char = l;code = 108
char = ;code = 32
char = t;code = 116
char = h;code = 104
char = a;code = 97
char = t;code = 116
char = ;code = 32
char = w;code = 119
char = e;code = 101
char = ;code = 32
char = h;code = 104
char = a;code = 97
char = v;code = 118
char = e;code = 101
char = ;code = 32
char = d;code = 100
char = e;code = 101
char = v;code = 118
char = e;code = 101
char = l;code = 108
char = o;code = 111
char = p;code = 112
char = e;code = 101
char = d;code = 100
char = ;code = 32
char = s;code = 115
char = u;code = 117
char = g;code = 103
char = g;code = 103
char = e;code = 101
char = s;code = 115
char = t;code = 116
char = s;code = 115
char = ;code = 32
char = h;code = 104
char = o;code = 111
char = w;code = 119
char = ;code = 32
char = a;code = 97
char = ;code = 32
char = c;code = 99
char = e;code = 101
char = r;code = 114
char = t;code = 116
char = a;code = 97
char = i;code = 105
char = n;code = 110
char = ;code = 32
char = g;code = 103
char = e;code = 101
char = n;code = 110
char = e;code = 101
char = r;code = 114
char = a;code = 97
char = l;code = 108
char = ;code = 32
char = s;code = 115
char = e;code = 101
char = t;code = 116
char = ;code = 32
char = o;code = 111
char = f;code = 102
char = ;code = 32
char = c;code = 99
char = h;code = 104
char = a;code = 97
char = r;code = 114
char = a;code = 97
char = c;code = 99
char = t;code = 116
char = e;code = 101
char = r;code = 114
char = i;code = 105
char = s;code = 115
char = t;code = 116
char = i;code = 105
char = c;code = 99
char = s;code = 115
char = ;code = 32
char = o;code = 111
char = f;code = 102
char = ;code = 32
char = p;code = 112
char = r;code = 114
char = o;code = 111
char = b;code = 98
char = i;code = 105
char = o;code = 111
char = t;code = 116
char = i;code = 105
char = c;code = 99
char = s;code = 115
char = ;code = 32
char = c;code = 99
char = a;code = 97
char = n;code = 110
char = ;code = 32
char = l;code = 108
char = e;code = 101
char = a;code = 97
char = d;code = 100
char = ;code = 32
char = t;code = 116
char = o;code = 111
char = ;code = 32
char = b;code = 98
char = e;code = 101
char = n;code = 110
char = e;code = 101
char = f;code = 102
char = i;code = 105
char = c;code = 99
char = i;code = 105
char = a;code = 97
char = l;code = 108
char = ;code = 32
char = o;code = 111
char = r;code = 114
char = ;code = 32
char = d;code = 100
char = e;code = 101
char = t;code = 116
char = r;code = 114
char = i;code = 105
char = m;code = 109
char = e;code = 101
char = n;code = 110
char = t;code = 116
char = a;code = 97
char = l;code = 108
char = ;code = 32
char = o;code = 111
char = u;code = 117
char = t;code = 116
char = c;code = 99
char = o;code = 111
char = m;code = 109
char = e;code = 101
char = s;code = 115
char = ;code = 32
char = f;code = 102
char = o;code = 111
char = r;code = 114
char = ;code = 32
char = i;code = 105
char = n;code = 110
char = f;code = 102
char = a;code = 97
char = n;code = 110
char = t;code = 116
char = s;code = 115
char = ;code = 32
char = s;code = 115
char = u;code = 117
char = f;code = 102
char = f;code = 102
char = e;code = 101
char = r;code = 114
char = i;code = 105
char = n;code = 110
char = g;code = 103
char = ;code = 32
char = f;code = 102
char = r;code = 114
char = o;code = 111
char = m;code = 109
char = ;code = 32
char = N;code = 78
char = E;code = 69
char = C;code = 67
char = ,;code = 44
char = ;code = 32
char = d;code = 100
char = e;code = 101
char = p;code = 112
char = e;code = 101
char = n;code = 110
char = d;code = 100
char = i;code = 105
char = n;code = 110
char = g;code = 103
char = ;code = 32
char = o;code = 111
char = n;code = 110
char = ;code = 32
char = t;code = 116
char = h;code = 104
char = e;code = 101
char = ;code = 32
char = i;code = 105
char = n;code = 110
char = f;code = 102
char = l;code = 108
char = u;code = 117
char = e;code = 101
char = n;code = 110
char = c;code = 99
char = e;code = 101
char = s;code = 115
char = ;code = 32
char = o;code = 111
char = f;code = 102
char = ;code = 32
char = p;code = 112
char = r;code = 114
char = o;code = 111
char = b;code = 98
char = i;code = 105
char = o;code = 111
char = t;code = 116
char = i;code = 105
char = c;code = 99
char = s;code = 115
char = ;code = 32
char = o;code = 111
char = n;code = 110
char = ;code = 32
char = d;code = 100
char = e;code = 101
char = f;code = 102
char = i;code = 105
char = n;code = 110
char = e;code = 101
char = d;code = 100
char = ;code = 32
char = f;code = 102
char = e;code = 101
char = a;code = 97
char = t;code = 116
char = u;code = 117
char = r;code = 114
char = e;code = 101
char = s;code = 115
char = ;code = 32
char = o;code = 111
char = f;code = 102
char = ;code = 32
char = t;code = 116
char = h;code = 104
char = e;code = 101
char = ;code = 32
char = i;code = 105
char = n;code = 110
char = f;code = 102
char = l;code = 108
char = a;code = 97
char = m;code = 109
char = m;code = 109
char = a;code = 97
char = t;code = 116
char = o;code = 111
char = r;code = 114
char = y;code = 121
char = ;code = 32
char = r;code = 114
char = e;code = 101
char = s;code = 115
char = p;code = 112
char = o;code = 111
char = n;code = 110
char = s;code = 115
char = e;code = 101
char = .;code = 46
result sql = BACKGROUND : Necrotizing enterocolitis (NEC) is a severe disease of the gastrointestinal tract of pre-term babies and is thought to be related to the physiological immaturity of the intestine and altered levels of normal flora in the gut. Understanding the factors that contribute to the pathology of NEC may lead to the development of treatment strategies aimed at re-establishing the integrity of the epithelial wall and preventing the propagation of inflammation in NEC. Several studies have shown a reduced incidence and severity of NEC in neonates treated with probiotics (beneficial bacteria species).

METHODOLOGY/PRINCIPAL FINDINGS : The objective of this study is to use a mathematical model to predict the conditions under which probiotics may be successful in promoting the health of infants suffering from NEC. An ordinary differential equation model is developed that tracks the populations of pathogenic and probiotic bacteria in the intestinal lumen and in the blood/tissue region. The permeability of the intestinal epithelial layer is treated as a variable, and the role of the inflammatory response is included. The model predicts that in the presence of probiotics health is restored in many cases that would have been otherwise pathogenic. The timing of probiotic administration is also shown to determine whether or not health is restored. Finally, the model predicts that probiotics may be harmful to the NEC patient under very specific conditions, perhaps explaining the detrimental effects of probiotics observed in some clinical studies.

CONCLUSIONS/SIGNIFICANCE : The reduced, experimentally motivated mathematical model that we have developed suggests how a certain general set of characteristics of probiotics can lead to beneficial or detrimental outcomes for infants suffering from NEC, depending on the influences of probiotics on defined features of the inflammatory response.

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