Quantitative Interpretation of Phloem Translocation Data

INTRODUCTION 192 QUANTITATIVE INTERPRETATION OF EXPERIMENTS 192 A NEW APPROACH TO DESCRIBING TRANSLOCATION EXPERIMENTS 193 System Identification and Parameter Estimation . ... ... ... 194 Model 194 Parameter estimation . . . .. .... ..... . ..... . ...... . .. ....... .. ..... ... ..... . .. .. . .. 195 Model identification 196 Parameter variation .... . . . ....... . . . ...... .. . .. ....... . . .. ....... . ...... . .. 198 Application to spatial profiles ... . .. . .. . . .. .... . .. . 198 Interp�etatio� of the Input-Output Model .. .. ........ .. ........ . .. . ....... . ... . . ... ... . .. ... 199 Unit step Input 199 Unit impulse input 200 Effect of Sampling Interval . .. . . ... . ... .. . .. . . .... . .. .. ..... . .. .. . .. . . .... . ..... . .. . ... . ...... .. . .. ....... .. . .. .. 201 Effect of Profile Shape . . 202 INTERPRETATION OF PHLOEM TRANSLOCATION EXPERIMENTS ........ 203 Sucrose and Tracer Profiles . .. . . .. . ..... 204 Mass Transfer Measurements 205 Speed Measurements 206 Phloem Leakage Measurements . . .... .. . . . . ... ...... . . ....... . 206 Input-Output Model Analysis of Tracer Profiles ...... .. . ........ .. ........ . ...... .. ...... 207 Nonsteady State Systems . .. ....... 209 CONCLUSION 212