![]() ![]() Viscosity of blood is higher than water due to the presence of blood cells such as erythrocytes, leukocytes, and thrombocytes. Resistance to fluid flow in a tube is described by Poiseuille’s law: R = 8hl/πr 4 where l is the length of the tube, h is the viscosity of the fluid, and r is the radius of the tube. ![]() To model the behavior of fluids in the circulatory system, we can modify Ohm’s law of V = IR to ∆P = FR where ∆P is the change in pressure (mmHg), F is the rate of flow (ml/min), and R is resistance to flow (mm Hg/ml/min). The heart acts as the primary force for movement of the fluid, the fluid moves through arteries and veins, and resistance to blood flow occurs depending on perfusion rates. Being a closed system, we can model the human circulatory system like an electrical circuit, making modifications for the use of a fluid rather than electrons. The capillaries are small and thin, allowing blood to easily perfuse the organ systems. The circulatory system of humans is a closed system consisting of a pump that moves blood throughout the body through arteries, capillaries, and veins. Use the following information to answer questions 1-6: Further, D gas, the diffusion constant of the gas, is defined as:ĭ gas = Solubility / (Molecular Weight)^(1/2) ![]() P 1 and P 2 refer to the partial pressures upstream and downstream, respectively. Where ΔV is flow rate and area and thickness refer to the permeable membrane through which the gas passes, in this case, the wall of the avlveoli. One such equation used in determining gas exchange is Fick's law, given by: The partial pressures of oxygen and carbon dioxide are given. Diffusion is an important biological process, especially in the respiratory system where oxygen diffuses from alveoli, the basic unit of lung mechanics, to red blood cells in the capillaries.įigure 1 depicts this process, showing an alveoli separated from neighboring cells by a capillary with red blood cells. This is a passive and spontaneous process and relies on the random movement of molecules and Brownian motion. ![]() Magic phase calculator v1.Diffusion can be defined as the net transfer of molecules down a gradient of differing concentrations. Would a tool like this one be useful for you? Any other important effect I may be missing. (Right now, the dice are used on the next spell if a spell fails.) What to do with dispel dice in case you fail a spell. Do they count as "Successful spells" or not? Some indicators for simplified calculations. I could include an extra tab that collegiate how your spell chance changes if you have more/less dice and how likely those situations are to happen. The effect of Channel, flux cards and/or Soul conduit. Some things that may be interesting to include or discuss. So either the Book makes the Hourglass less useful or the Hourglass makes the book redundant. With book of Arcane Mastery, the adept requires fewer dice, which allows the master to cast more spells with 3+ dice. This can help to decide how to cast spells in the game, or for designing list to help evaluate which items to include.įor example, yesterday I noticed that there is an antergy (the opposite of synergy) between the Book of Arcane Mastery and the Book of the dead based on how I use them.īasically, with the Book of the dead I want to cast multiple spells with 2 dice with your master, and chuck the rest with your adept. So you can evaluate the odds to cast spells how you (and your opponent) distribute your dice and depending on the situation (Hourglass, magic resistance, etc) how likely it is to get a miscast and be dispelled. (Dispell chance is a mock number for now, don't take it seriously) I was thinking of making something like this. So I think a calculator that gives you the odds of a spell getting cast and getting through may be an interesting tool. There are a ton of variables, and each choice has a cascade of effects that make it tedious to do by hand. So I was looking at how to build the best magic phase for a list I was designing and ran into the problem that evaluating the different choices and situations by hand is quite difficult and slow. ![]()
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