LD50計(jì)算方法之-Horn氏法(霍恩法)

LD50計(jì)算方法之—Horn氏法原理

Horn氏法，又叫平均移動(dòng)法、劑量遞增法，是利用劑量對(duì)數(shù)與死亡率(反應(yīng)率)的轉(zhuǎn)換數(shù)(即幾率單位)呈直線關(guān)系而設(shè)計(jì)的方法。設(shè)計(jì)原則

4個(gè)劑量組；每組動(dòng)物數(shù)相等；每組4只或5只；設(shè)計(jì)劑量時(shí)可根據(jù)化學(xué)物致死劑量范圍的寬窄應(yīng)用兩個(gè)劑量系列，其組距分別為2.15倍和3.16倍。根據(jù)每組動(dòng)物數(shù)、組距和每組動(dòng)物死亡數(shù)，即可從Horn氏表中查得LD50及其95％可信限。優(yōu)缺點(diǎn)

使用動(dòng)物數(shù)少；可直接從Horn氏表查出LD50及其95％可信限，不需計(jì)算，甚為簡(jiǎn)便。但LD50的95％可信區(qū)間范圍較大，方法精確度尚不夠。Horn氏表1-1每組4只動(dòng)物，組距3.16倍各劑量組動(dòng)物死亡數(shù)(只)劑量1＝0.316×10t劑量1＝1.00×10t劑量2＝1.00劑量2＝3.16劑量3＝3.16劑量3＝10.0劑量4＝10.0劑量4＝31.61234LD50可信限LD50可信限00243.161.63～6.1510.05.14～19.400342.371.33～4.227.504.22～13.300441.78～5.62～01143.161.40～7.1410.04.43～22.601242.370.984～5.717.503.11～18.101341.780.788～4.015.622.49～12.701441.330.750～2.374.222.37～7.5002241.780.695～4.555.622.20～14.402341.330.554～3.214.221.75～10.202441.000.514～1.943.161.63～6.1503341.000.443～2.263.161.40～7.1410243.161.30～7.6710.04.12～24.310342.150.959～4.846.813.03～15.310441.470.880～2.454.642.78～7.7411143.161.07～9.3610.03.38～29.611242.150.649～7.156.812.05～22.611341.470.442～4.874.641.40～15.411441.000.338～2.963.161.07～9.3012241.470.379～5.684.641.20～18.012341.000.246～4.063.160.779～12.820243.160.837～11.910.02.65～37.820341.780.471～6.725.621.49～21.220441.000.265～3.783.160.837～11.921143.160.621～16.110.01.96～50.921241.780.271～11.75.620.858～36.921341.000.122～8.183.160.386～25.9Horn氏表1-2每組4只動(dòng)物，組距3.16倍各劑量組動(dòng)物死亡數(shù)(只)劑量1＝0.316×10t劑量1＝1.00×10t劑量2＝1.00劑量2＝3.16劑量3＝3.16劑量3＝10.0劑量4＝10.0劑量4＝31.61234LD50可信限LD50可信限22241.000.100～10.03.160.316～31.630243.160.221～45.210.00.700～14330341.000.0385～26.03.160.122～82.131143.160.122～82.110.00.385～260.031241.000.0149～66.93.160.0472～212.000333.161.07～9.3610.03.38～29.600432.151.29～3.596.814.08～11.401233.160.779～12.810.02.46～40.601332.150.649～7.156.812.05～22.601431.470.654～3.304.642.07～10.422232.150.556～8.346.811.76～26.402331.470.442～4.874.641.40～15.402431.000.412～2.433.161.30～7.6703331.000.338～2.963.161.07～9.3610333.160.621～16.110.01.96～50.910431.780.778～4.015.622.49～12.711233.160.386～25.910.01.22～81.811331.780.288～11.05.620.911～34.711431.000.196～5.093.160.621～16.112231.780.229～13.85.620.725～43.612331.000.122～8.183.160.386～25.920333.160.122～82.110.00.385～26020431.000.0700～14.33.160.221～45.221233.160.0472～21210.00.149～66921331.000.0149～66.93.160.0472～21222231.000.0100～1003.160.0316～316Horn氏表1-3每組4只動(dòng)物，組距3.16倍各劑量組動(dòng)物死亡數(shù)(只)劑量1＝0.316×10t劑量1＝1.00×10t劑量2＝1.00劑量2＝3.16劑量3＝3.16劑量3＝10.0劑量4＝10.0劑量4＝31.61組2組3組4組LD50可信限LD50可信限00423.160.837～11.910.02.65～37.801323.160.386～25.910.01.22～81.801421.780.471～6.725.621.49～21.202223.160.316～31.610.01.00～10002321.780.271～11.75.620.858～36.902421.000.265～3.783.160.837～11.903321.000.196～5.093.160.621～16.110423.160.221～45.210.00.700～14311323.160.0472～21210.00.149～66911421.000.0385～26.03.160.122～82.112223.160.0316～31610.00.100～100012321.000.0149～66.93.160.0472～21202313.160.0472～21210.00.149～66902411.000.0700～14.33.160.221～45.203311.000.0385～26.03.160.122～82.101413.160.122～82.110.00.385～260Horn氏表2-1每組4只動(dòng)物，組距2.15倍各劑量組動(dòng)物死亡數(shù)(只)劑量1＝0.464×10t劑量1＝1.00×10t劑量2＝2.15×10t劑量2＝1.00劑量2＝2.15劑量3＝4.64劑量3＝2.15劑量3＝4.64劑量4＝10.0劑量4＝4.64劑量4＝10.0劑量2＝21.51234LD50可信限LD50可信限LD50可信限00242.151.38～3.364.642.98～7.2310.06.42～15.600341.781.21～2.613.832.61～5.628.255.62～12.100441.47～3.16～6.81～01142.151.25～3.714.642.70～7.9910.05.81～17.201241.780.989～3.203.832.13～6.898.254.59～14.801341.470.853～2.533.161.84～5.446.813.96～11.701441.210.825～1.782.611.78～3.835.623.83～8.2502241.470.784～2.753.161.69～5.926.813.64～12.702341.210.674～2.182.611.45～4.695.623.13～10.102441.000.642～1.562.151.38～3.364.642.98～7.2303341.000.581～1.722.151.25～3.714.642.70～7.9910242.151.19～3.894.642.57～8.3810.05.54～18.110341.670.973～2.863.592.10～6.167.744.51～13.310441.290.918～1.822.781.98～3.915.994.26～8.4311142.151.04～4.444.642.25～9.5710.04.85～20.611241.670.750～3.713.591.61～8.007.743.84～17.211341.290.580～2.872.781.25～6.195.992.69～13.311441.000.485～2.062.151.04～4.444.642.25～9.5712241.290.524～3.182.781.13～6.865.992.43～14.812341.000.393～2.552.150.846～5.484.641.82～11.820242.150.888～5.234.641.91～11.310.04.12～24.320341.470.605～3.563.161.30～7.676.812.81～16.520441.000.412～2.432.150.888～5.234.641.91～11.321142.150.728～6.384.641.57～13.710.03.38～29.621241.470.419～5.143.160.903～11.16.811.95～23.921341.000.246～4.062.150.531～8.754.641.14～18.8Horn氏表2-2每組4只動(dòng)物，組距2.15倍各劑量組動(dòng)物死亡數(shù)(只)劑量1＝0.464×10t劑量1＝1.00×10t劑量2＝2.15×10t劑量2＝1.00劑量2＝2.15劑量3＝4.64劑量3＝2.15劑量3＝4.64劑量4＝10.0劑量4＝4.64劑量4＝10.0劑量2＝21.51234LD50可信限LD50可信限LD50可信限22241.000.215～4.642.150.464～10.04.641.00～21.530242.150.366～12.74.640.789～27.310.01.70～58.930341.000.114～8.772.150.246～18.94.640.529～40.731142.150.246～18.94.640.529～40.710.01.14～87.731241.000.0607～16.52.150.131～35.54.640.282～76.500332.151.04～4.444.642.25～9.5710.04.85～20.600431.671.19～2.353.592.56～5.057.745.50～10.901232.150.846～5.484.641.82～11.810.03.93～25.501331.670.750～3.713.591.61～8.007.743.84～17.201431.290.753～2.212.781.62～4.775.993.50～10.302231.670.676～4.113.591.46～8.867.743.14～19.102331.290.580～2.872.781.25～6.195.992.69～13.302431.000.554～1.812.151.19～3.894.642.57～8.3803331.000.485～2.062.151.04～4.444.642.25～9.5710332.150.728～6.384.641.57～13.710.03.38～29.610431.470.853～2.533.161.84～5.446.813.96～11.711232.150.531～8.754.641.14～18.810.02.46～40.611331.470.436～4.943.160.940～10.66.812.02～22.911431.000.338～2.962.150.728～6.384.641.57～13.712231.470.375～5.753.160.807～12.46.811.74～26.712331.000.246～4.062.150.531～8.754.641.14～18.820332.150.246～18.94.640.529～40.710.01.14～87.720431.000.170～5.892.150.366～12.74.640.789～27.321232.150.131～35.54.640.282～76.510.00.607～16521331.000.0607～16.52.150.131～35.54.640.282～76.522231.000.0464～21.52.150.100～46.44.640.215～100Horn氏表2-3每組4只動(dòng)物，組距2.15倍各劑量組動(dòng)物死亡數(shù)(只)劑量1＝0.464×10t劑量1＝1.00×10t劑量2＝2.15×10t劑量2＝1.00劑量2＝2.15劑量3＝4.64劑量3＝2.15劑量3＝4.64劑量4＝10.0劑量4＝4.64劑量4＝10.0劑量2＝21.51234LD50可信限LD50可信限LD50可信限00422.150.888～5.234.641.91～11.310.04.12～24.301322.150.531～8.754.641.14～18.810.02.46～40.601421.470.605～3.563.161.30～7.676.812.81～16.502222.150.464～10.04.641.00～21.510.02.15～46.402321.470.419～5.143.160.903～11.16.811.95～23.902421.000.412～2.432.150.888～5.234.641.91～11.303321.000.338～2.962.150.728～6.384.641.57～13.710422.150.366～12.74.640.789～27.310.01.70～58.911322.150.131～35.54.640.282～76.510.00.607～16511421.000.114～8.772.150.246～18.94.640.529～40.712222.150.100～46.44.640.215～10010.00.464～21512321.000.0607～16.52.150.131～35.54.640.282～76.502312.150.131～35.54.640.282～76.510.00.607～16502411.000.170～5.892.150.366～12.74.640.789～27.303311.000.114～8.772.150.246～18.94.640.529～40.701412.150.246～18.94.640.529～40.710.01.14～87.7Horn氏表3-1每組5只動(dòng)物，組距3.16倍各劑量組動(dòng)物死亡數(shù)(只)劑量1＝0.316×10t劑量1＝1.00×10t劑量2＝1.00劑量2＝3.16劑量3＝3.16劑量3＝10.0劑量4＝10.0劑量4＝31.61234LD50可信限LD50可信限00352.821.60～4.958.915.07～15.700452.241.41～3.557.084.47～11.200551.78～5.62～01252.821.36～5.848.914.30～18.501352.241.08～4.647.083.42～14.701451.780.927～3.415.622.93～10.801551.410.891～2.244.472.82～7.0802252.241.01～4.977.083.19～15.702351.780.801～3.955.622.53～12.502451.410.682～2.934.472.16～9.2502551.120.638～1.973.552.02～6.2403351.410.636～3.144.472.01～9.9203451.120.542～2.323.551.71～7.3510352.741.35～5.568.664.26～17.610452.051.11～3.806.493.51～12.010551.541.07～2.214.873.40～6.9811252.741.10～6.828.663.48～21.611352.050.806～5.236.492.55～16.511451.540.632～3.754.872.00～11.911551.150.537～2.483.651.70～7.8512252.050.740～5.706.492.34～18.012351.540.534～4.444.871.69～14.112451.150.408～3.273.651.29～10.313351.150.378～3.533.651.20～11.220352.611.01～6.778.253.18～21.420451.780.723～4.375.622.29～13.8Horn氏表3-2每組5只動(dòng)物，組距3.16倍各劑量組動(dòng)物死亡數(shù)(只)劑量1＝0.316×10t劑量1＝1.00×10t劑量2＝1.00劑量2＝3.16劑量3＝3.16劑量3＝10.0劑量4＝10.0劑量4＝31.61234LD50可信限LD50可信限20551.210.554～2.653.831.75～8.3921252.610.768～8.878.252.43～28.121351.780.484～6.535.621.53～20.721451.210.318～4.623.831.00～14.622251.780.434～7.285.621.37～23.022351.210.259～5.673.830.819～17.900442.741.27～5.888.664.03～18.600542.051.43～2.946.494.53～9.3101342.740.968～7.758.663.06～24.501442.050.843～5.006.492.67～15.301541.540.833～2.854.872.63～9.0102242.740.896～8.378.662.83～26.502342.050.711～5.936.492.25～18.702441.540.604～3.924.871.91～12.402541.150.568～2.353.651.80～7.4203341.540.555～4.274.871.76～13.503441.150.463～2.883.651.47～9.1010442.610.953～7.158.253.01～22.610541.781.03～3.065.623.27～9.6811342.610.658～10.48.252.08～32.711441.780.528～5.985.621.67～18.911541.210.442～3.323.831.40～10.512242.610.594～11.58.251.88～36.312341.780.423～7.485.621.34～23.612441.210.305～4.803.830.966～15.213341.210.276～5.333.830.871～16.8Horn氏表3-3每組5只動(dòng)物，組距3.16倍各劑量組動(dòng)物死亡數(shù)(只)劑量1＝0.316×10t劑量1＝1.00×10t劑量2＝1.00劑量2＝3.16劑量3＝3.16劑量3＝10.0劑量4＝10.0劑量4＝31.61234LD50可信限LD50可信限20442.370.539～10.47.501.70～33.020541.330.446～3.994.221.41～12.621340.37?0.307～18.37.500.970～58.021441.330.187～9.494.220.592～30.022242.370.262～21.47.500.830～67.822341.330.137～13.04.220.433～41.000532.611.19～5.718.253.77～18.101432.610.684～9.958.252.16～31.501531.780.723～4.375.622.29～13.802332.610.558～12.28.251.76～38.602431.780.484～6.535.621.53～20.702531.210.467～3.143.831.48～9.9403331.780.434～7.285.621.37～23.003431.210.356～4.123.831.13～13.010532.370.793～7.107.502.51～22.411432.370.333～16.97.501.05～53.411531.330.303～5.874.220.958～18.612332.370.244～23.17.500.771～73.012431.330.172～10.34.220.545～32.613331.330.148～12.14.220.467～38.1～～～～～～～～～～～～Horn氏表4-1每組5只動(dòng)物，組距2.15倍各劑量組動(dòng)物死亡數(shù)(只)劑量1＝0.464×10t劑量1＝1.00×10t劑量2＝2.15×10t劑量2＝1.00劑量2＝2.15劑量3＝4.64劑量3＝2.15劑量3＝4.64劑量4＝10.0劑量4＝4.64劑量4＝10.0劑量2＝21.51234LD50可信限LD50可信限LD50可信限00352.001.37～2.914.302.95～6.269.266.36～13.500451.711.26～2.333.692.71～5.017.945.84～10.800551.47～3.16～6.81～01252.001.23～3.244.302.65～6.989.265.70～15.001351.711.05～2.783.692.27～5.997.944.89～12.901451.470.951～2.273.162.05～4.886.814.41～10.501551.260.926～1.712.712.00～3.695.844.30～7.9402251.711.01～2.913.692.17～6.287.944.67～13.502351.470.862～2.503.161.86～5.386.814.00～11.602451.260.775～2.052.711.67～4.415.843.60～9.5002551.080.741～1.572.331.60～3.395.013.44～7.3003351.260.740～2.142.711.59～4.625.843.43～9.9503451.080.665～1.752.331.43～3.785.013.08～8.1410351.961.22～3.144.222.63～6.769.095.66～14.610451.621.07～2.433.482.31～5.247.504.98～11.310551.331.05～1.702.872.26～3.656.194.87～7.8711251.961.06～3.604.222.29～7.759.094.94～16.711351.620.866～3.013.481.87～6.497.504.02～14.011451.330.737～2.412.871.59～5.206.193.42～11.211551.100.661～1.832.371.42～3.955.113.07～8.5112251.620.818～3.193.481.76～6.877.503.80～14.812351.330.658～2.702.871.42～5.826.193.05～12.512451.100.550～2.202.371.19～4.745.112.55～10.213351.100.532～2.322.371.13～4.995.112.43～10.820351.901.00～3.584.082.16～7.718.80.4.66～16.620451.470.806～2.673.161.74～5.766.813.74～12.4Horn氏表4-2每組5只動(dòng)物，組距2.15倍各劑量組動(dòng)物死亡數(shù)(只)劑量1＝0.464×10t劑量1＝1.00×10t劑量2＝2.15×10t劑量2＝1.00劑量2＝2.15劑量3＝4.64劑量3＝2.15劑量3＝4.64劑量4＝10.0劑量4＝4.64劑量4＝10.0劑量2＝21.51234LD50可信限LD50可信限LD50可信限20551.140.674～1.922.451.45～4.135.283.13～8.8921251.900.839～4.294.081.81～9.238.803.89～19.921351.470.616～3.503.161.33～7.536.812.86～16.221451.140.466～2.772.451.00～5.985.282.16～12.922251.470.573～3.763.161.24～8.106.812.66～17.422351.140.406～3.182.450.875～6.855.281.89～14.800441.961.18～3.264.222.53～7.029.095.46～15.100541.621.27～2.053.482.74～4.427.505.90～9.5301341.960.978～3.924.222.11～8.449.094.54～18.201441.620.893～2.923.481.92～6.307.504.14～13.601541.330.885～2.012.871.91～4.336.194.11～9.3302241.960.930～4.124.222.00～8.889.094.31～19.102341.620.797～3.283.481.72～7.067.50～15.202441.330.715～2.402.871.54～5.366.19～11.502541.100.686～1.772.371.48～3.805.11～8.1903341.330.676～2.632.871.46～5.676.19～12.203441.100.599～2.022.371.29～4.365.11～9.3910441.900.969～3.714.082.09～7.998.80～17.210541.471.02～2.113.162.20～4.546.81～9.7811341.900.757～4.754.081.63～10.28.80～22.011441.470.654～3.303.161.41～7.106.81～15.311541.140.581～2.222.