Introduction to Biomedical Engineering. John D. Enderle, Susan M. Blanchard, Joseph D. Bronzino. Errata

Transcription

1 Introduction to Bioedical Engineering John D. Enderle, Susan M. Blanchard, Joseph D. Bronzino Errata Chapter 1 p. 24, line 38: Chapter 20 instead of Chapter 21 Chapter 3 p. 81, Electricity in the Eighteenth Century p. 98, Eq. (3.14 Cl o Cl i ECl = vi vo = 26ln V = 26 ln V Cl Cl p. 100, Eq. (3.20 i o P = µ T = D (there is no inus sign in front of µ T δ q δ δ q p. 101, Eq. (3.24 Tδ δ J qv x = ln 0 qv P δ Tδ o i p. 101, Eq. (3.25 J qv Tδ P δ Tδ δ = ln qv J qv P δ Tδ o i p. 105 d dv T µ J = 0 = J p µ dx q dx p. 106, Figure 3.11 The polarity of the battery is in error in the original figure.

2 Outside Inside Cl - Cl A - Na Na - = E p. 107, Equation at the botto of the page should be (correction in red 3 E ENa ( I = = = R R Na ( µ A p. 108, line after Exaple Proble 3.5 should read Find V for the frog skeletal uscle if RCl = kω. p. 110, Eq. (3.36 V Th = R R E R R E R R E R R R R R R Na Cl Cl Na Na Cl Na Cl Cl Na (REMOVE NEGATIVE SIGN AFTER = p. 111, second equation fro the botto of the page, negative sign in front of I should be reoved. F HG I 1 s CR V s V I( s VTh ( = ( 0 ThJ C scr Th p. 111, last equation on the page, C in the last ter should be C o ( 1 e ts V (0 VT h V ( s = s sc s scrth s CRTh CRTh CRTh p. 112, dv Ic = C dt

3 p. 112, second paragraph fro the botto of the page, line 2: of 6 s (upper and 2 s (lower instead of of 6 s (left and 2 s (right, and lines 4 and 5: figure on the lower, V falls short of the steady state value reached on the upper. Instead of figure on the right, V falls short of the steady state value reached on the left. p. 115, line 16: fro the injection instead of fro injection p. 122, first equation C dv R R RV R El V = dt RR RR l s l c s l s l s p. 124, Eq. (3.43 Equations for β n and V issing β = 0.125e n V 80 V = V V rp p. 124, Eq. (3.45, α equation should have the ultiplier 0.1 instead of 0.01 V 25 = 01. α V e 1 p. 127, second line. G = S and G = S. Na 3 The 10 S is issing. p. 132, Proble 10. The inside and outside concentrations are reversed. p. 133, Figure for Exercise 13 issing the Ion Pup label. Outside Ion Pup Cl - Inside Cl - Chapter 4 p. 152, Exaple Proble 4.5, first line: "...with a stretching resistance..." should read: "...with a resting resistance..."

4 p. 176, Exercise 3: Deterine the ratio between the cross-sectional areas of two blood vessels. Assue that the voltage ratio induced in identical agnetic flow probes is equal to 1:5 and the ratio of blood flow through these vessels is 2:3. instead of Deterine the ration between the cross-sectional areas of two blood vessels. Assue that the voltage ration induced in identical agnetic flow probes is equal to 1:5 and the ratio of blood flow through these vessels is 2:3. Chapter 5 p. 184, line 17: are intended to be observed instead of are intended to the observed p. 189, above Eq. (5.10: ipedances instead of ipedance p. 216, Eq. (5.49 ( ( ( ( ( ( Vin s V A s V out s V A s V A s V out s = 1 R 1 2 sc sc 1 2 Chapter 6 p. 244, Figure 6.6 caption: 36-Hz at the end of the 2 nd sentence should be 360-Hz. Chapter 7 p. 300, last line (change 11.8 to 11 the eyeball radius of 11. p. 306, Equation 7.15 and the next few sentences T = ( F x x = F x se se se lt se 1 se 1 se lt se lt se lt 1 (7.15 Equation 7.15 is an equation for a straight line with y-intercept N/. Therefore, se F and slope se lt. The slope of the length-tension curve in Figure 7.11 is given by = 0.8 g/ = se l t selt N = = (7.16 se lt p. 309, Second line fro the botto of the page, the lever is considered in Section p. 311, Equation 7.21 should be se lt

5 T = FBx 2 p. 315, Equation 7.28 F = θ N for θ 0 (T directi on Aside: This equation corrects the negative sign associated with θ, and aking the slope at rather than 0.125, giving a slightly better fit to the data. The point at -45 is still not fit altogether well. this isn t really a proble since a saccade of -45 does not occur naturally. The revised equation should be F = θ N for θ 0 (T direction p. 315, fourth line θ = (x (reove the fro the equation 1 p. 326, θ should be replaced by x in Equation 7.40 ( ( ( ( F F B B F F B B F F = C x C x C x C x C x SE 12 AG ANT SE AG ANT 2 34 AG ANT

6 p. 325, Figure 7.27 q5 should be θ 5. x 0 x p1 x p4 x 4 x 1 J p x p2 B 2 se se B 2 x p3 x 3 B p1 1 x B 1 lt F ag B p2 2 F ant lt B 1

7 p. 334, Figure 7.28 has two arrows in the wrong direction for the EBN. Midline Cortex Thalaus Substantia Nigra LGN LGN Substantia Nigra Superior Colliculus NRTP Veris NRTP LLBN Fastigal Nucleus Cerebellu LLBN TN EBN Flocculus EBN TN VN OPN VN Abducens Nucleus IBN IBN Abducens Nucleus Oculootor Nucleus Oculootor Nucleus Lateral Rectus Muscle Right Eye Plant 0 Medial Rectus Muscle Medial Rectus Muscle Lateral Rectus Muscle 0 Left Eye Plant p. 345, Equation 7.47 V H( jω = V o i ( jω ( jω Chapter 8 p. 394, below equation 8.58, the ter in the square root a should be squared, not subscripted

8 2 α = 0.5 a a b p. 395, 10th line of center text block, the word estiated was isspelled as estiated p. 396, 10th line of section 8.4, the word estiation is isspelled as estiation p. 403, Top of the page, incorrect nubering of subchapter Chapter 9 p. 438, in iddle of page, Fx : A x = 0 should be Fx : Ax = Fx = 376N p. 458, the text should be changed as follows [A] = [efa] [A ] (9.58 Consequently a vector [A] expressed relative to lab coordinates ay be transfored into foot coordinates by transposing the atrix [efa], [A ] = [efa]t [A] (9.59 These vector operations are easily perfored using MATLAB: r1 = i j k = i' k' p. 459 (section 3, on the right-hand side of these expressions, change 0.0 to -1.4 x 10-5 change to 2.8 x 10-3 change to -2.1 x 10-3 p. 459 (section 4, should be changed as follows All values are then substituted into back Euler's equations, Eqns. (9.44 (9.46, to yield M A in ters of foot (pried coordinates MA = [ I ] αfoot ωfoot x [ I ] ωfoot r1 x FA r2 x Fg Tg = 1.50 i' 15.9 j' k' that is, in turn, transfored back into lab (unpried coordinates, i.e. Eqn. (9.59: MA = 2.54 i 15.9 j k N By cobining the ankle oent with the ankle angular velocity, the instantaneous ankle power ay be coputed as ΜΑ ωankle = (2.54 i 15.9 j k N ( i 1.47 j k rad/s = 23.3 Watts

9 or ΜΑ' ωankle' = (1.50 i' 15.9 j' k' N ( i' 1.46 j' k' rad/s = 23.3 Watts which is thought to be a quantitative easure of the contribution by the ankle to propulsion. Chapter 10 p. 481, iediately preceding Equation (10.7b, the sentence should read (with clarification in caps: "For exaple, the coefficient C 1 for huan blood DOES NOT HAVE THE CONSTANT VALUE LISTED IN TABLE 10.3, BUT, RATHER, depends on plasa globulin concentration..." p. 481, following equation (10.7b, the diensions of C 1 should be d Pa(s n (not n-1. p. 493, while soe would prefer to ove this graph about 60 sec to the left, note that the speed of propagation properties of the depolarization potential has not really been easured in a definitive way relative to the resulting ECG signal.. p. 507, in Exaple Proble 10.9, the denoinator in the equation for q should be: (l 1/n.( the superscript (1/n is issing; Also, in the next sentence, the denoinator should not be, but, rather, (l An entire ter was left out of this expression. p. 531, siilarly, in Exercise 6, the diensions of C 1 should, again, be d Pa(s n (not n-1. Chapter 18 p. 926, Figure 18.8, the lowest weight should be 40 lb, not 4 lb. Chapter 19 p. 961, 1 st Equation on the page R total = R R R R