‮𐳾𐳽𐳼𐳼𐳺𐳺 𐳟𐳤𐳐 𐳋𐳤 𐳘𐳀 𐳋𐳖𐳟 𐳠𐳛𐳠𐳪𐳖𐳁𐳄𐳐𐳜 𐳫𐳒, 𐳼𐳻𐳺 𐳉𐳯𐳉𐳢 𐳘𐳐𐳦𐳛𐳍𐳉𐳙𐳛𐳘𐳂𐳜𐳖 𐳁𐳖𐳖𐳜 𐳀𐳇𐳀𐳦𐳂𐳁𐳯𐳐𐳤𐳁𐳦 𐳏𐳛𐳯𐳦𐳁𐳓 𐳖𐳋𐳦𐳢𐳉 (...)

‮(...) 𐳋𐳤 𐳮𐳐𐳰𐳍𐳁𐳖𐳦𐳁𐳓 𐳉𐳯𐳉𐳓 𐳓𐳀𐳠𐳆𐳛𐳖𐳀𐳦𐳢𐳉𐳙𐳇𐳥𐳉𐳢𐳋𐳦 𐳘𐳉𐳤𐳦𐳉𐳢𐳤𐳋𐳍𐳉𐳤 𐳐𐳙𐳦𐳉𐳖𐳖𐳐𐳍𐳉𐳙𐳄𐳐𐳁𐳙 𐳀𐳖𐳀𐳠𐳪𐳖𐳜 𐳘𐳜𐳇𐳥𐳉𐳢𐳢𐳉𐳖. 𐲀𐳯 𐳫𐳒 𐳀𐳖𐳍𐳛𐳢𐳐𐳦𐳘𐳪𐳤 𐳘𐳐𐳙𐳇𐳉𐳙 𐳏𐳀𐳠𐳖𐳛𐳆𐳛𐳠𐳛𐳢𐳦-𐳞𐳥𐳥𐳉𐳌𐳭𐳍𐳍𐳋𐳤𐳦 𐳌𐳉𐳖𐳐𐳤𐳘𐳉𐳢, 𐳌𐳭𐳍𐳍𐳉𐳦𐳖𐳉𐳙𐳭𐳖 𐳀 𐳓𐳛𐳢𐳢𐳉𐳖𐳁𐳄𐳐𐳜 𐳏𐳁𐳦𐳦𐳉𐳢𐳋𐳂𐳉𐳙 𐳁𐳖𐳖𐳜 𐳌𐳛𐳗𐳀𐳘𐳀𐳦 𐳐𐳇𐳟𐳠𐳛𐳙𐳦𐳒𐳁𐳦𐳜𐳖. 𐲉𐳎 𐳫𐳒 𐳘𐳜𐳇𐳥𐳉𐳢𐳦𐳀𐳙𐳐 𐳄𐳐𐳓𐳓𐳉𐳦 (𐳺) 𐳦𐳉𐳦𐳦𐳉𐳓 𐳓𐳞𐳯𐳯𐳋 𐳀 Molecular Genetics and Genomics 𐳥𐳀𐳓𐳖𐳀𐳠𐳂𐳀𐳙 𐳀 𐲘𐳀𐳎𐳀𐳢𐳤𐳁𐳍𐳓𐳪𐳦𐳀𐳦𐳜 𐲐𐳙𐳦𐳋𐳯𐳉𐳦 𐲀𐳢𐳄𐳏𐳉𐳛𐳍𐳉𐳙𐳉𐳦𐳐𐳓𐳀𐳐 𐲓𐳪𐳦𐳀𐳦𐳜𐳓𐳞𐳯𐳠𐳛𐳙𐳦𐳒𐳁𐳙𐳀𐳓, 𐳀 𐲥𐳉𐳍𐳉𐳇𐳐 𐲦𐳪𐳇𐳛𐳘𐳁𐳚𐳉𐳎𐳉𐳦𐳉𐳘 𐲍𐳉𐳙𐳉𐳦𐳐𐳓𐳀𐳐 𐲦𐳀𐳙𐳥𐳋𐳓𐳋𐳙𐳉𐳓, 𐳀 𐲘𐳹𐳥𐳀𐳓𐳐 𐲌𐳐𐳯𐳐𐳓𐳀𐳐 𐳋𐳤 𐲀𐳚𐳀𐳍𐳦𐳪𐳇𐳛𐳘𐳁𐳚𐳐 𐲐𐳙𐳦𐳋𐳯𐳉𐳦𐳋𐳙𐳉𐳓 𐳓𐳪𐳦𐳀𐳦𐳜𐳐.

‮𐲫𐳒 𐳥𐳁𐳘𐳑𐳦𐳁𐳤𐳐 𐳘𐳜𐳇𐳥𐳉𐳢𐳉𐳓 𐳓𐳐𐳇𐳛𐳖𐳍𐳛𐳯𐳁𐳤𐳀

‮𐲀 𐳘𐳉𐳤𐳦𐳉𐳢𐳤𐳋𐳍𐳉𐳤 𐳐𐳙𐳦𐳉𐳖𐳖𐳐𐳍𐳉𐳙𐳄𐳐𐳁𐳙 𐳀𐳖𐳀𐳠𐳪𐳖𐳜 𐳠𐳛𐳠𐳪𐳖𐳁𐳄𐳐𐳜𐳍𐳉𐳙𐳉𐳦𐳐𐳓𐳀𐳐 𐳘𐳜𐳇𐳥𐳉𐳢 𐳉𐳎 𐳫𐳒𐳥𐳉𐳢𐳹 𐳘𐳉𐳍𐳓𐳞𐳯𐳉𐳖𐳑𐳦𐳋𐳤𐳤𐳉𐳖 𐳓𐳋𐳠𐳉𐳤 𐳓𐳐𐳘𐳪𐳦𐳀𐳦𐳙𐳐 𐳀𐳯 𐳉𐳎𐳓𐳛𐳢𐳐 𐳋𐳤 𐳘𐳀𐳐 𐳙𐳋𐳠𐳉𐳤𐳤𐳋𐳍𐳉𐳓 𐳥𐳁𐳢𐳘𐳀𐳯𐳁𐳤𐳁𐳦 𐳋𐳤 𐳢𐳛𐳓𐳛𐳙𐳤𐳁𐳍𐳐 𐳮𐳐𐳥𐳛𐳚𐳀𐳐𐳦 𐳀𐳯 𐳀𐳚𐳀𐳐 𐳮𐳀𐳎 𐳀𐳠𐳀𐳐 𐳞𐳢𐳞𐳓𐳖𐳟𐳇𐳋𐳤𐳹 𐳏𐳀𐳠𐳖𐳛𐳆𐳛𐳠𐳛𐳢𐳦𐳛𐳓 𐳉𐳖𐳛𐳥𐳖𐳁𐳤𐳁𐳂𐳜𐳖. 𐲀 𐳘𐳉𐳤𐳦𐳉𐳢𐳤𐳋𐳍𐳉𐳤 𐳐𐳙𐳦𐳉𐳖𐳖𐳐𐳍𐳉𐳙𐳄𐳐𐳁𐳙 𐳀𐳖𐳀𐳠𐳪𐳖𐳜 𐳀𐳖𐳍𐳛𐳢𐳐𐳦𐳘𐳪𐳤 𐳞𐳙𐳁𐳖𐳖𐳜𐳀𐳙 𐳓𐳋𐳠𐳉𐳤 𐳆𐳛𐳠𐳛𐳢𐳦𐳛𐳤𐳑𐳦𐳀𐳙𐳐 𐳀 𐳏𐳀𐳤𐳛𐳙𐳖𐳜 𐳉𐳖𐳛𐳥𐳖𐳁𐳤𐳦 𐳘𐳪𐳦𐳀𐳦𐳜 𐳙𐳋𐳠𐳉𐳤𐳤𐳋𐳍𐳉𐳓𐳉𐳦, 𐳘𐳀𐳒𐳇 𐳓𐳐𐳥𐳁𐳘𐳑𐳦𐳒𐳀 𐳀𐳯 𐳉𐳖𐳛𐳥𐳖𐳁𐳤 𐳓𐳞𐳯𐳋𐳠𐳠𐳛𐳙𐳦𐳒𐳁𐳦 (𐳓𐳞𐳯𐳠𐳛𐳙𐳦𐳐 𐳮𐳉𐳓𐳦𐳛𐳢𐳁𐳦). 𐲀 𐳥𐳉𐳢𐳯𐳟𐳓 𐳓𐳐𐳘𐳪𐳦𐳀𐳦𐳦𐳁𐳓, 𐳏𐳛𐳎 𐳀 𐳓𐳞𐳯𐳠𐳛𐳙𐳦𐳐 𐳮𐳉𐳓𐳦𐳛𐳢 𐳒𐳜 𐳓𐳞𐳯𐳉𐳖𐳑𐳦𐳋𐳤𐳤𐳉𐳖 𐳀𐳯𐳛𐳙𐳛𐳤𐳑𐳦𐳒𐳀 𐳀𐳯𐳛𐳓𐳀𐳦 𐳀𐳯 𐳟𐳤𐳐 𐳠𐳛𐳠𐳪𐳖𐳁𐳄𐳐𐳜𐳓𐳀𐳦, 𐳘𐳉𐳗𐳉𐳓 𐳓𐳉𐳮𐳉𐳢𐳉𐳇𐳋𐳤𐳋𐳂𐳟𐳖 𐳀 𐳘𐳀𐳐 𐳙𐳋𐳠𐳉𐳤𐳤𐳋𐳍𐳉𐳓 𐳉𐳢𐳉𐳇𐳉𐳯𐳦𐳉𐳦𐳏𐳉𐳦𐳟𐳓. 𐲀 𐳘𐳜𐳇𐳥𐳉𐳢𐳢𐳉𐳖 𐳙𐳉𐳘 𐳆𐳀𐳓 𐳀𐳯 𐳉𐳎𐳓𐳛𐳢𐳐 𐳓𐳉𐳮𐳉𐳢𐳉𐳇𐳋𐳤𐳉𐳓 𐳌𐳛𐳢𐳢𐳁𐳤𐳀𐳐 𐳀𐳯𐳛𐳙𐳛𐳤𐳑𐳦𐳏𐳀𐳦𐳜𐳓, 𐳇𐳉 𐳓𐳐𐳥𐳁𐳘𐳑𐳦𐳏𐳀𐳦𐳜𐳓 𐳀 𐳓𐳉𐳮𐳉𐳢𐳉𐳇𐳋𐳤 𐳀𐳢𐳁𐳚𐳀𐳐 𐳐𐳤.

‮𐲀 𐲓𐳁𐳢𐳠𐳁𐳦-𐳘𐳉𐳇𐳉𐳙𐳄𐳉 𐳘𐳉𐳍𐳂𐳛𐳙𐳦𐳏𐳀𐳦𐳀𐳦𐳖𐳀𐳙 𐳉𐳎𐳤𐳋𐳍𐳉

‮𐲀 𐳥𐳉𐳢𐳯𐳟𐳓 𐳀 𐳘𐳜𐳇𐳥𐳉𐳢𐳦 𐳀 𐲓𐳁𐳢𐳠𐳁𐳦-𐳘𐳉𐳇𐳉𐳙𐳄𐳉 𐳉𐳎𐳓𐳛𐳢𐳐 𐳋𐳤 𐳘𐳀𐳐 𐳙𐳋𐳠𐳉𐳤𐳤𐳋𐳍𐳉𐳐𐳙𐳉𐳓 𐳮𐳐𐳰𐳍𐳁𐳖𐳀𐳦𐳁𐳢𐳀 𐳀𐳖𐳓𐳀𐳖𐳘𐳀𐳯𐳮𐳀 𐳀𐳯𐳦 𐳦𐳀𐳖𐳁𐳖𐳦𐳁𐳓, 𐳏𐳛𐳎 𐳀 𐳘𐳀𐳐 𐳠𐳛𐳠𐳪𐳖𐳁𐳄𐳐𐳜 𐳦𐳫𐳖𐳚𐳛𐳘𐳜 𐳦𐳞𐳂𐳂𐳤𐳋𐳍𐳉 𐳉𐳎 𐳢𐳋𐳯𐳓𐳛𐳢𐳐 (𐲓𐳢. 𐳉. 𐳿𐳿𐳿𐳿𐲿 –𐲓𐳢. 𐳉. 𐳿𐳿𐲿𐳾𐳾𐳾) - 𐳂𐳢𐳛𐳙𐳯𐳓𐳛𐳢𐳐 (𐲓𐳢.𐳉. 𐳿𐳿𐲿𐳾𐳾𐳾 – 𐲓𐳢.𐳉. 𐲿𐳾𐳾) 𐳀𐳖𐳀𐳠𐳙𐳋𐳠𐳉𐳤𐳤𐳋𐳍𐳢𐳉 𐳮𐳉𐳯𐳉𐳦𐳏𐳉𐳦𐳟 𐳮𐳐𐳥𐳥𐳀, 𐳘𐳑𐳍 𐳀 𐳓𐳉𐳖𐳉𐳦𐳐 𐳥𐳨𐳉𐳠𐳠𐳉𐳐 𐳢𐳋𐳍𐳐𐳜𐳂𐳜𐳖 𐳋𐳢𐳓𐳉𐳯𐳟 𐳂𐳉𐳮𐳁𐳙𐳇𐳛𐳢𐳖𐳁𐳤𐳛𐳓 𐳀 𐳒𐳉𐳖𐳉𐳓 𐳥𐳉𐳢𐳐𐳙𐳦 𐳓𐳐𐳤𐳉𐳂𐳂 𐳍𐳉𐳙𐳉𐳦𐳐𐳓𐳀𐳐 𐳏𐳀𐳦𐳁𐳤𐳦 𐳎𐳀𐳓𐳛𐳢𐳛𐳖𐳦𐳀𐳓 𐳀 𐳦𐳐𐳯𐳉𐳇𐳐𐳓-𐳦𐳐𐳯𐳉𐳙𐳉𐳎𐳉𐳇𐳐𐳓 𐳥𐳁𐳯𐳀𐳇𐳐 𐳙𐳋𐳠𐳉𐳤𐳤𐳋𐳍𐳢𐳉. 𐲉𐳯 𐳀𐳯 𐳉𐳢𐳉𐳇𐳘𐳋𐳚 𐳉𐳎𐳂𐳉𐳮𐳁𐳍 𐳀𐳯 𐲘𐳀𐳎𐳀𐳢𐳤𐳁𐳍𐳓𐳪𐳦𐳀𐳦𐳜 𐲐𐳙𐳦𐳋𐳯𐳉𐳦 𐳓𐳪𐳦𐳀𐳦𐳜𐳐 𐳁𐳖𐳦𐳀𐳖 𐳒𐳉𐳎𐳯𐳉𐳦𐳦 𐳓𐳛𐳢𐳁𐳂𐳂𐳐 𐳓𐳞𐳯𐳖𐳉𐳘𐳋𐳚 𐳉𐳢𐳉𐳇𐳘𐳋𐳚𐳋𐳮𐳉𐳖 (𐳺𐳺) , 𐳘𐳉𐳗𐳂𐳉𐳙 𐳀𐳯𐳦 𐳦𐳀𐳖𐳁𐳖𐳦𐳁𐳓, 𐳏𐳛𐳎 𐳀 𐳼 - 𐳼𐳺. 𐳥𐳁𐳯𐳀𐳇𐳐 𐳓𐳞𐳯𐳙𐳋𐳠𐳐 𐳦𐳉𐳘𐳉𐳦𐳟𐳓 𐳙𐳋𐳠𐳉𐳤𐳤𐳋𐳍𐳉 𐳉𐳖𐳤𐳟𐳤𐳛𐳢𐳂𐳀𐳙 𐳀 𐳓𐳛𐳢𐳁𐳂𐳂𐳐 𐳏𐳉𐳗𐳐 𐳙𐳋𐳠𐳉𐳤𐳤𐳋𐳍𐳉𐳦 𐳓𐳋𐳠𐳮𐳐𐳤𐳉𐳖𐳐. 𐲓𐳛𐳢𐳁𐳂𐳂𐳐 𐳠𐳪𐳂𐳖𐳐𐳓𐳁𐳄𐳐𐳜𐳙𐳓𐳂𐳀𐳙 𐳘𐳉𐳍𐳁𐳖𐳖𐳀𐳠𐳑𐳦𐳛𐳦𐳦𐳪𐳓, 𐳏𐳛𐳎 𐳀 𐳼 - 𐳼𐳺. 𐳥𐳁𐳯𐳀𐳇𐳐 𐳓𐳞𐳯𐳙𐳉𐳘𐳉𐳤𐳉𐳓 𐳦𐳞𐳂𐳂𐳤𐳋𐳍𐳉 𐳮𐳀𐳖𐳜𐳥𐳑𐳙𐳹𐳖𐳉𐳍 𐳀 𐲓𐳁𐳢𐳠𐳁𐳦-𐳘𐳉𐳇𐳉𐳙𐳄𐳉 𐳏𐳉𐳗𐳐 𐳖𐳀𐳓𐳛𐳤𐳤𐳁𐳍𐳁𐳦 𐳓𐳋𐳠𐳮𐳐𐳤𐳉𐳖𐳐, 𐳀𐳘𐳉𐳗 𐳦𐳉𐳢𐳘𐳋𐳥𐳉𐳦𐳉𐳤 𐳘𐳜𐳇𐳛𐳙 𐳓𐳉𐳮𐳉𐳢𐳉𐳇𐳉𐳦𐳦, 𐳀𐳂𐳂𐳀 𐳂𐳉𐳛𐳖𐳮𐳀𐳇𐳦𐳀𐳓 𐳀 𐳓𐳉𐳖𐳉𐳦𐳢𐳟𐳖 (𐳮𐳐𐳤𐳤𐳯𐳀)𐳋𐳢𐳓𐳉𐳯𐳟 𐳆𐳛𐳠𐳛𐳢𐳦𐳛𐳓, 𐳓𐳞𐳯𐳦𐳭𐳓 𐲁𐳢𐳠𐳁𐳇 𐳘𐳀𐳎𐳀𐳢𐳒𐳀𐳐, 𐳋𐳤 𐳀 𐳮𐳉𐳖𐳉 𐳋𐳢𐳓𐳉𐳯𐳟 𐳦𐳞𐳢𐳰𐳉𐳓.

‮𐲀 𐳓𐳞𐳯𐳞𐳤 𐳎𐳞𐳓𐳉𐳢𐳉𐳓 𐳀 𐳯𐳉𐳙𐳋𐳂𐳉𐳙 𐳐𐳤 𐳦𐳉𐳦𐳦𐳉𐳙 𐳋𐳢𐳏𐳉𐳦𐳟𐳓

‮𐲀𐳯 𐳫𐳒 𐳘𐳜𐳇𐳥𐳉𐳢 𐳙𐳉𐳘𐳆𐳀𐳓 𐳀 𐳍𐳉𐳙𐳉𐳦𐳐𐳓𐳀𐳐 𐳞𐳢𐳞𐳓𐳖𐳟𐳇𐳋𐳤 𐳓𐳞𐳮𐳉𐳦𐳋𐳤𐳋𐳢𐳉 𐳀𐳖𐳓𐳀𐳖𐳘𐳀𐳤, 𐳏𐳀𐳙𐳉𐳘 𐳦𐳞𐳂𐳂𐳉𐳓 𐳓𐳞𐳯𐳞𐳦𐳦 𐳀 𐳙𐳋𐳠𐳯𐳉𐳙𐳉𐳐 𐳇𐳀𐳖𐳖𐳀𐳘𐳛𐳓 𐳢𐳛𐳓𐳛𐳙𐳤𐳁𐳍𐳐 𐳮𐳐𐳥𐳛𐳚𐳀𐳐𐳙𐳀𐳓 𐳌𐳉𐳖𐳦𐳁𐳢𐳁𐳤𐳁𐳢𐳀 𐳐𐳤, 𐳀𐳯𐳛𐳓 𐳒𐳉𐳖𐳖𐳉𐳍𐳯𐳉𐳦𐳉𐳤 𐳇𐳀𐳖𐳖𐳀𐳘-, 𐳋𐳤 𐳢𐳐𐳦𐳘𐳪𐳥𐳥𐳉𐳢𐳓𐳉𐳯𐳉𐳦𐳉 𐳀𐳖𐳀𐳠𐳒𐳁𐳙. 𐲒𐳪𐳏𐳁𐳥 𐲯𐳛𐳖𐳦𐳁𐳙 𐳋𐳤 𐳘𐳪𐳙𐳓𐳀𐳦𐳁𐳢𐳤𐳀𐳐𐳙𐳀𐳓 𐳉𐳖𐳒𐳁𐳢𐳁𐳤𐳀 𐳀𐳖𐳓𐳀𐳖𐳘𐳀𐳤 𐳀 𐳙𐳋𐳠𐳯𐳉𐳙𐳉𐳐 𐳋𐳤 𐳍𐳉𐳙𐳉𐳦𐳐𐳓𐳀𐳐 𐳠𐳁𐳢𐳏𐳪𐳯𐳀𐳘𐳛𐳓 𐳓𐳐𐳘𐳪𐳦𐳀𐳦𐳁𐳤𐳁𐳢𐳀 (𐳺𐳺𐳺) 𐳐𐳤, 𐳏𐳐𐳥𐳉𐳙 𐳀 𐳒𐳉𐳖𐳖𐳉𐳍𐳯𐳉𐳦𐳉𐳤 𐳯𐳉𐳙𐳉𐳐 𐳘𐳛𐳦𐳑𐳮𐳪𐳘𐳛𐳓 𐳦𐳉𐳢𐳒𐳉𐳇𐳋𐳤𐳉 𐳘𐳐𐳙𐳇𐳉𐳙 𐳂𐳐𐳯𐳛𐳚𐳚𐳀𐳖 𐳉𐳎𐳓𐳛𐳢𐳐 𐳙𐳋𐳠𐳉𐳤𐳤𐳋𐳍𐳘𐳛𐳯𐳍𐳁𐳤𐳛𐳓 𐳓𐳞𐳮𐳉𐳦𐳓𐳉𐳯𐳘𐳋𐳚𐳉.

‮𐲀 𐳠𐳪𐳂𐳖𐳐𐳓𐳁𐳄𐳐𐳜𐳦 𐲦𐳞𐳢𐳞𐳓 𐲦𐳐𐳂𐳛𐳢, 𐲘𐳀𐳁𐳢 𐲓𐳐𐳦𐳦𐳐, 𐲮𐳀𐳢𐳍𐳀 𐲐𐳤𐳦𐳮𐳁𐳙 𐲍𐳉𐳢𐳍𐳉𐳗 𐳋𐳤 𐲒𐳪𐳏𐳁𐳥 𐲯𐳛𐳖𐳦𐳁𐳙 𐳓𐳪𐳦𐳀𐳦𐳜𐳓 𐳒𐳉𐳎𐳯𐳐𐳓.

1. A new linear combination method of haplogroup distribution central vectors to model population admixtures (Tibor Török · Kitti Maár · István Gergely Varga · Zoltán Juhász); Az eredeti publikáció itt érhető el: 

Mol Genet Genomics (2022) https://doi.org/10.1007/s00438-022-01888-0

2. https://doi.org/10.3390/genes12030460

3. https://public.ek-cer.hu/~juhasz/SOC.pdf, illetve https://public.ek-cer.hu/~juhasz/ostipusok.pdf