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                                    Kinetics
                                    (rates) of fungal growth 
                                      
                                    R =  
                                     D
                                    in some measure of growth 
                                                              
                                      D t 
                                      
                                    Focus on 5* of 6 situations
                                    that concern practical measurements of
                                    fungal biomass 
                                      
                                    1.* Growth of populations of
                                    unicells 
                                            
                                    (reproductive growth) 
                                           
                                      
                                      
                                    2.* Hyphal growth by apical
                                    extension & branching (nonreproductive
                                    growth) 
                                      
                                      
                                    3.* Unrestricted growth 
                                      
                                    4. 
                                    Restricted growth (some factor
                                    limiting) 
                                      
                                    5.* Surface growth 
                                      
                                    6.* Submerged growth 
                                    114 
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                                    Types
                                    of growth as related to rates (kinetics) 
                                      
                                    1.     
                                    Unicellular growth - usually involves
                                    doubling rates (exponential rates) 
                                      
                                    2.     
                                    Hyphal growth - may or may not
                                    involve doubling rates 
                                      
                                    3.     
                                    Unrestricted growth - maximum rates
                                    &/or no limiting factors 
                                    
                                    4.     
                                    Restricted growth - less than maximum
                                    rates 
                                      
                                    5.     
                                    Surface growth - air-substrate
                                    interface growth (somewhat restricted
                                    because substrate not equally         
                                    available to all parts of fungus 
                                      
                                    6.     
                                    Submerged growth - may or may not be
                                    at max rates 
                                    115 
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                                    Question? 
                                    What to measure for index of fungal
                                    growth? 
                                      
                                    Key - parameter measured must
                                    be known to be proportional to criterion of
                                    growth being considered 
                                      
                                    Measured parameter must
                                    directly correlate with increase in biomass
                                    (protoplasm) 
                                      
                                    Could measure* - 
                                      
                                    1.     
                                    D in linear dimensions (colonies, hyphae) 
                                    2.     
                                    D in mass or weight 
                                    3.     
                                    D in cell # 
                                    4.     
                                    D in volume 
                                    5.     
                                    D in metabolic activity 
                                    6.     
                                    D in quantity of cell constituent 
                                    7.     
                                    D in absorbance 
                                    *       
                                    all have been used for fungi 
                                    116 
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                                    Practical
                                    considerations of measuring fungal growth
                                    (which is best?) 
                                    1.     
                                    Linear measurements - e.g. 
                                    a.         Increase in colony
                                    diameter* 
                                    B.                
                                    Increase in colony margin* 
                                    in
                                    "race tube" 
                                    c.         Increase in hyphal
                                    length using microscopic techniques ** 
                                    Advantages: 
                                            
                                    1.        
                                    Simplicity 
                                            
                                    2.        
                                    Nondistructive 
                                      
                                    Disadvantages: 
                                    1.         No necessary
                                    correlation between increase in colony
                                    diameter and increase in total biomass 
                                      
                                    *        Use - good for evaluating growth
                                    rates of strains of same species 
                                    **     
                                    Excellent, but difficult 
                                      
                                    117 
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                                    2.         Dry weights - most
                                    widely used parti-cularly for molds - or as
                                    correlates* of other measures for yeasts
                                    (e.g. absorbance 
                                    x = y mg dry wt)   
                                      
                                    *
                                    Should correlate with balanced growth.   
                                    Advantages: 
                                            
                                    a.        
                                    Probably one of best measures for
                                    mold growth except when linear                                                  
                                    measurements appropriate 
                                            
                                    b.        
                                    Excellent for yeasts, but time
                                    consuming 
                                      
                                    Disadvantages: 
                                            
                                    a.        
                                    Destructive 
                                            
                                    b.        
                                    Requires culture sampling which must
                                    be precise 
                                            
                                    c.        
                                    Near impossible to uniformly sample
                                    mold culture* 
                                      
                                    * Why          
                                    - Hard to pipette mold mycelium 
                                                        
                                    - Mycelium not always uniformly
                                    distributed in media 
                                                        
                                    - Culture homogeneity difficult to
                                    insure 
                                            
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                                    3.        
                                    Estimates of cell #s 
                                            
                                    a.        
                                    Viable counts (plate counts) 
                                            
                                    b.        
                                    Particle counts (haemocytometer,
                                    coulter counters, etc.) 
                                      
                                    Good for unicells - yeasts
                                    & spore counts 
                                    Poor for molds - because: 
                                                        
                                    1)        
                                    Hypha of any length would yield only
                                    one (1) viable or 
                                                                    
                                    Particle count 
                                                        
                                    2)        
                                    Difficult to sample 
                                                        
                                    3)        
                                    Correlations inaccurate 
                                      
                                    Most often used for yeast
                                    measures, and estimates of spore, germling
                                    or blended hyphal inoculum levels. 
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                                    4.     
                                    Cell volume - (packed cells) 
                                                        
                                    o.k. for unicells & spores,
                                    sometimes germlings 
                                                        
                                    poor in general for molds because
                                    packing is dependent on: 
                                            
                                    a.        
                                    Llength of hyphae 
                                            
                                    b.        
                                    Degree of branching 
                                            
                                    c.        
                                    Endogenous substrate reserves 
                                      
                                    5.     
                                    Turbidity or absorbance 
                                            
                                    a.        
                                    Extremely useful for spores, unicells,
                                    germlings or germination activity 
                                            
                                    b.        
                                    Poor for molds 
                                                        
                                    1)        
                                    Hyphae do not always form
                                    homogeneously 
                                                        
                                    2)        
                                    Filaments do not uniformly scatter
                                    light 
                                      
                                            
                                    Can get good data with yeasts. 
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                                    6.     
                                    Metabolic activity 
                                            
                                    - Good in well-defined situations
                                    e.g., o2
                                    |  co2
                                    |  during
                                    "balanced growth" 
                                            
                                    - Problems: 
                                    data may be misleading -e.g., because
                                    of generally high levels of endogenous
                                    reserves,  fungi often show high rates of o2
                                    uptake and co2
                                    evolution in the absence of growth 
                                            
                                    - Same for product formation 
                                            
                                    - Substrate utilization 
                                            
                                    - Enzymatic activity 
                                      
                                    7.     
                                    Compositional changes same 
                                            
                                    - Good for certain balanced growth
                                    situations, e.g.>dna 
                                    131 
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                                    Review 
                                    
                                    Kinetics
                                    (rates) of fungal vegetative growth 
                                      
                                    Rate = D in some measure of growth 
                                                        
                                    D t 
                                      
                                    Comparisons of reproductive
                                    growth (yeast growth) and nonreproductive
                                    growth (mold growth) involve different
                                    considerations 
                                    
                                    Practical considerations: 
                                            
                                    What to measure? 
                                    parameter must directly correlate
                                    with increase in biomass. 
                                      
                                    Measures: 
                                    1.     
                                    Linear dimensions 
                                    2.     
                                    Mass or weight 
                                    3.     
                                    Cell # or viable # 
                                    4.     
                                    Volume 
                                    5.     
                                    Metabolic activity 
                                    6.     
                                    Cell constituent (e.g. protein) 
                                    7.     
                                    Absorbance or transmittance 
                                    133 
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                                    Questions
                                    to ask related to the kinetics of fungal
                                    growth 
                                      
                                    1.     
                                    What conclusions with fungi,
                                    particularly molds, have resulted from the
                                    collection of data by techniques reviewed? 
                                      
                                    2.     
                                    How fast do fungi grow? 
                                            
                                    a.        
                                    Do fungi grow as fast as bacteria? 
                                            
                                    b.        
                                    Do molds grow exponentially?* 
                                      
                                    *       
                                    Can/do they ever double all their
                                    cell constituents proportionally with time? 
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                                    How
                                    fast do molds grow? 
                                    What controls rates of mold growth? 
                                      
                                    Conclusions* of Henderson Smith ~ 1920: 
                                      
                                    1.     
                                    Rate of growth of a mold during any
                                    one period of time is not a function
                                    necessarily of total fungal         
                                    biomass -although this may contribute 
                                      
                                    2.     
                                    Rate controlled by # of hyphal tips 
                                      
                                    3.     
                                    Rates at which tips are supplied
                                    nutrients either by absorption or
                                    translocation 
                                      
                                    4.     
                                    Rates of branching 
                                      
                                    * Not readily apparent because mold growth most
                                    easily demonstrated to show constant growth
                                    rates (arithmetic increases) 
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                                    Conclusions 
                                      
                                    1.     
                                    Both yeasts and molds can be
                                    demonstrated to grow logarithmically 
                                      
                                    2.     
                                    Usually mold exponential growth
                                    occurs for only relatively short period
                                    while colony establishes itself into circle
                                    or sphere shape*, ** 
                                      
                                    3.     
                                    Mold exponential growth is correlated
                                    with rapid branching to -->         
                                    2 or 3D colonies 
                                      
                                    4.     
                                    Rapid growth rates must involve
                                    protoplasm contributions and syntheses from
                                    areas not actually         
                                    involved in apical extension (tips) 
                                      
                                    * then by definition is
                                    restricted 
                                    ** use of strains that
                                    fragment at high rates extends periods of
                                    demonstrable exponential growth (strain
                                    selection in industry) 
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                                    Zolakar's calculations (1950) w/ N.
                                    crassa 
                                      
                                    1.        
                                    N. crassa  extends
                                    its tip at maximum rates of 100 µm/min (6
                                    mm/hr). 
                                                -
                                    he did this by measuring microscopically
                                    & in race tubes. 
                                      
                                    2.         Hyphae needed 2 hours
                                    to double protein content (..) took 2 hrs to
                                    double protein, but only an hr to            
                                    double length  
                                      
                                    3.         Means protein
                                    synthesized behind tip contributes to
                                    elongation rate (translocation) 
                                      
                                    4.         Need a minimum of 12
                                    mm of hyphal length to sustain an elongation
                                    rate of 100 µm/min 
                                      
                                                100
                                    µm
                                    = 12 mm length  
                                    100
                                    µm (per min extension rate) x 120 min (time
                                    to double protein) = 1200 µm = 12 mm 
                                    145 
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