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Errata to “A compartmental reaction-diffusion cell cycle model”
Computers Math. Appltc. Vol. 20, No. 7, pp. 73-74, 1990 Pergamon Press pie. Printed in Great Britain
ERRATA TO "A COMPARTMENTAL REACTION-DIFFUSION CELL CYCLE MODEL" Computers
Math.
18(10/11), 883-892 (1989)
Applic.
S. N. BUSF.NB~6 Department of Mathematics, Harvey Mudd College, Claremont, CA 91711, U.S.A.
J. M. MAHAn~ Department of Mathematical Sciences, San Diego State University, San Diego, CA 92182, U.S.A.
As a consequence of delays in the mail, the authors' corrections to the proofs of this paper were not included in the printed version. Listed below are those typesetting errors which affect the scientific content of the paper. 1. Equation (1.1) should read: lil(t) = f(vl (t -- v, )) -- b iul (t) + ~:t I~,.,[u2(x, t) - ul (t)]dS,~, fJt(t) = --b2vl(t) + 72 .f [v~(x, t) -- Vl(t)] dSo,
~u2(x, t) = l~,V~u2(x, t) - b,u~(x, t), Ot
x ell\to,
Ov2(x, t) = p2V2v2(x ' t) -- b2v2(x, t) + CoU2(X, t - v2), x ~ fl\c0. dt
(1.1)
2. Line six from the bottom of p. 884 should be: . . . consider is 1/[1 + k v { ( t - vt)], where vl >I 0. 3. The first equation in (2.1) should read:
a,(~) . . . .
- F~(u,(~), v,,, us(o, ~)).
4. On p. 887 there are three occurrences of the symbol x that should be r, and one of r that should be T, but these should be clear from the context. 5. The last equation on p. 887 should read: o0
u~(~,~) = Y~ ~ne-A.'~.(o)
.
.
.
.
n--I
6. The second line from the bottom of p. 887 should read: ... define B, - b~ + £~ .... 7. The last line of equation (2.4) should read:
... ~" c-B.I~-J)... n--I
8. The second line in equation (2.6) should start with a multiplication symbol instead of an x and read: x (2 + b 2 ) . . . 73
74
S.N. BUSENnERGand J. M. M.~t,a,F~ 9. The first equation in (2.7) should read: ft: (t) = f ( v , (t -- v)) -- u, (t) + a, (u2 (t) -- u, (t)).
10. The fourth line from the bottom of p. 890 should read: In Theorem 2 . 3 . . .
ERRATA TO "A COMPARTMENTAL REACTION-DIFFUSION CELL CYCLE MODEL" Computers
Math.
18(10/11), 883-892 (1989)
Applic.
S. N. BUSF.NB~6 Department of Mathematics, Harvey Mudd College, Claremont, CA 91711, U.S.A.
J. M. MAHAn~ Department of Mathematical Sciences, San Diego State University, San Diego, CA 92182, U.S.A.
As a consequence of delays in the mail, the authors' corrections to the proofs of this paper were not included in the printed version. Listed below are those typesetting errors which affect the scientific content of the paper. 1. Equation (1.1) should read: lil(t) = f(vl (t -- v, )) -- b iul (t) + ~:t I~,.,[u2(x, t) - ul (t)]dS,~, fJt(t) = --b2vl(t) + 72 .f [v~(x, t) -- Vl(t)] dSo,
~u2(x, t) = l~,V~u2(x, t) - b,u~(x, t), Ot
x ell\to,
Ov2(x, t) = p2V2v2(x ' t) -- b2v2(x, t) + CoU2(X, t - v2), x ~ fl\c0. dt
(1.1)
2. Line six from the bottom of p. 884 should be: . . . consider is 1/[1 + k v { ( t - vt)], where vl >I 0. 3. The first equation in (2.1) should read:
a,(~) . . . .
- F~(u,(~), v,,, us(o, ~)).
4. On p. 887 there are three occurrences of the symbol x that should be r, and one of r that should be T, but these should be clear from the context. 5. The last equation on p. 887 should read: o0
u~(~,~) = Y~ ~ne-A.'~.(o)
.
.
.
.
n--I
6. The second line from the bottom of p. 887 should read: ... define B, - b~ + £~ .... 7. The last line of equation (2.4) should read:
... ~" c-B.I~-J)... n--I
8. The second line in equation (2.6) should start with a multiplication symbol instead of an x and read: x (2 + b 2 ) . . . 73
74
S.N. BUSENnERGand J. M. M.~t,a,F~ 9. The first equation in (2.7) should read: ft: (t) = f ( v , (t -- v)) -- u, (t) + a, (u2 (t) -- u, (t)).
10. The fourth line from the bottom of p. 890 should read: In Theorem 2 . 3 . . .